{"text":"Question: What are the prime factors of 2161?\nAnswer: 2161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 8095443 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3 - x**2 - 17*x - 15.\nAnswer: (x - 5)*(x + 1)*(x + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 62*l - 3 - 1)*(2 - 2 - 2*l)*(-1 + 2 + 0)*(l**2 + 4*l - 4*l)*(-3 + l + 3).\nAnswer: -124*l**5 + 4*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 137\/1150740 and -77\/57345210?\nAnswer: 344071260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -98 + 96. Calculate the least common multiple of 24 and (21\/6)\/(a\/(-12) - 0).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-5)\/((-20)\/(-2))*(-1)\/((-14)\/8).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express -10 + 331*j**2 - 5 + 2 - 307*j**2 in the form s*j**2 + i + z*j and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (0*2\/12)\/(23 - 105\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*o**3\/3 + 17132*o**2\/3 + 10453096*o - 7866779664.\nAnswer: 2*(o - 566)*(o + 4566)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand -24*j**4 - 46*j**4 - 47*j**4 + (3 + 0 + 13)*(1 + 2*j**4 - 1) + (-2*j**4 + j**4 - j**4)*(-1 + 3 - 1).\nAnswer: -87*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 7 a factor of 70157481?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Product of 275.14157 and -1.1.\nAnswer: -302.655727","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 279 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*s + s**4 - 2*s + (0*s**2 - 3*s**2 + 0*s**2)*(-7*s**2 + 13 - 13).\nAnswer: 22*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 925 = 9*c + 3274. Let d = 333 + c. Is 4 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -13096*u**6 + 88*u**2 - 58.\nAnswer: -1571520*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -78*o + 81*o + 10 = 2*z, -4*z + 4 = 2*o for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(t) be the second derivative of 11*t - 1\/12*t**3 - 1\/40*t**5 + 0*t**2 + 1\/12*t**4 + 0. Factor g(d).\nAnswer: -d*(d - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 280276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = -v**3 - v**2 + 2. Let q be t(0). Let b = 1 + q. Differentiate -2*h**3 + 0 - 1 + b wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -13316\/9 - -1466. Let g = y - -331\/18. Calculate the common denominator of ((-628)\/(-18))\/((-60)\/(-9)) and g.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 39475709011 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = -94*a - 1549. What is t(-17)?\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -x**2 - 4*x - 3. Let m be p(-2). Suppose 840*w - 280 - 1333 - 907 = 0. Solve -m = -c - w for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 3 + 1)*(4*l**2 + l**2 + 0*l**2) + 5*l**2 - 34*l**2 + 16*l**2.\nAnswer: -3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 z and 1 w when three letters picked without replacement from {w: 1, z: 19}.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -13*n + 14*n - 52. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-30)\/39)\/((-207)\/(-5382))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 218*g**4 + 29*g**3 - 38*g**2 - 5094809?\nAnswer: 872*g**3 + 87*g**2 - 76*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find q, given that 96*q**3 - 128*q**2 + 18*q + 14 = 0.\nAnswer: -1\/4, 7\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-228)\/(-135) - -6*(-5)\/225. Which is the third biggest value? (a) 2 (b) t (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -792, -767, -742, -717, -692?\n\"Answer: 25*b - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = 90.81 + -96.81. Let y = -0.3 - -0.8. Which is the second smallest value? (a) 0 (b) i (c) y (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, -2, -144, 4, -24 in decreasing order.\nAnswer: 4, -2, -12, -24, -144","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f, 2 z, and 1 v when four letters picked without replacement from fjrrrrrjjjzjjvzfjf?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62632397.\nAnswer: 113, 554269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w + 11 = -1. Suppose -1 = -b + 3. Suppose b*l - 77 = 3*g, 5*l - 2*g - 101 = -w*g. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) -0.24 (c) -4 (d) -5 (e) -36\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o be 7\/70*(-2 - -27)*-2. Let z(w) = -17*w + 5. Let n(j) = 8*j - 3. Determine o*n(t) - 3*z(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3905?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Round -70.2 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand (-27*q**3 + q**3 - 2*q**3)*(6*q**2 - q**2 + q**2).\nAnswer: -168*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y = 8 - -24. Suppose -30*g + y*g - 6 = 0. Differentiate -2 - 15 + 2*z**3 + 2*z**3 - 3*z**g wrt z.\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/2 in 2, 10, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2443229 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (2617*w - 26*w**2 - 2617*w)*(0 + 0 - 2*w).\nAnswer: 52*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*u**2 + 63*u - 63*u)*(-6*u**2 + 10*u**3 + 4107*u - 4107*u).\nAnswer: 110*u**5 - 66*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 18 or 2170\/117?\nAnswer: 2170\/117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -4442537 (base 8) to base 12\nAnswer: -498b3b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k - 1 = 4*h, 3*h - 5*k = 9705 - 9703 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort -1726, -1\/3, -0.2, -2\/11, 1.\nAnswer: -1726, -1\/3, -0.2, -2\/11, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = -40 + 27. Suppose -2*q - 13 = -5. Is ((-14)\/q)\/(w\/(-78)) a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z - 2 = 7*z. Let j be (-1 - (2 - 5))*(-1)\/z. Let a(d) = 4*d - 43. Let k be a(11). Solve -3 - k = j*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*p + 6456 - 2231 - 2112 - 2113.\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -10*g + 4. Let c(z) be the first derivative of -z**2\/2 + 3481. Calculate b(m) - 8*c(m).\nAnswer: -2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 20\/3*(19 + (-176283)\/(-135))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.93 * -0.147.\nAnswer: 0.13671","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 12338 or 15571?\nAnswer: 15571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 + 17. Let c(b) = -79*b - 223. Let z be c(-11). Let t = z - 641. Calculate the smallest common multiple of w and t.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 466 by -5.\nAnswer: -466\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 AM and 6:12 AM?\nAnswer: 38","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -14c (base 13) to base 5\nAnswer: -1413","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(726) + sqrt(726)*-2)\/(sqrt(18)\/sqrt(54)).\nAnswer: -33*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2 in 5, 2\/297, 2\/7, 68.007?\nAnswer: 2\/297","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 = 4*j - 136. Suppose -5*g + 0*g - j = -t, 0 = -3*t - 5*g - 4. Solve -1 - t = -2*l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 55 a factor of 7547356?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9039, -9036, -9031, -9024?\nAnswer: -9015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence nc when two letters picked without replacement from {w: 1, t: 1, f: 1, n: 1, c: 5, p: 3}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 11*t. Let b(k) = 122606*k - 1. Calculate b(h(o)).\nAnswer: 1348666*o - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 26315 divided by -26315\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-15)\/(-114)*(603\/15 + -41). Suppose -2*t + 5*t - 15 = 0. What is the second smallest value in 0.008, o, t?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 1587.7312 to the nearest integer.\nAnswer: 1588","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (194992\/(-2240) - -87) + (-178)\/(-1960)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l be -2*3\/(-3) - 0. Suppose l*i - 8 = -0. Suppose -i*g + 106 = -3*n, 8*g - n - 127 = 3*g. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 99\/82 - 3433\/738. Let y = -12095 + 217583\/18. Find the common denominator of i and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l\/(l*l*l**(-4))*l*l**4\/l)\/(l**(1\/3))**(-50) assuming l is positive.\nAnswer: l**(71\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -662, -1436, -2222, -3026, -3854, -4712, -5606?\nAnswer: -6542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*w + p = -6310, 10*w - 14*w + 5048 = 2*p. Suppose 6 + 4 = 2*x, o - w = -3*x. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -1453 - -156?\nAnswer: -12a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in 323, 322, 321, 320, 319, 318?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/14)\/(106\/(-2968))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 131177, 131180, 131183, 131186?\n\"Answer: 3*q + 131174","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -16.1630859 rounded to 3 decimal places?\nAnswer: -16.163","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 321 minutes after 1:11 AM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = m**3 + 10*m**2 - 11*m + 3. Let p be w(-11). Solve -p*t + t - 2*v = 14, 2*t + 5*v = -20 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in 5*u**2 - 1185*u = 0?\nAnswer: 0, 237","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 + 4*i + 887. What is the hundreds digit of p(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37738 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77 = 112*r - 147. Let x(f) be the first derivative of -3\/4*f**r + 3\/32*f**4 - 3\/40*f**5 - 7 - 3*f + 3\/4*f**3. Determine j so that x(j) = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 7, n: 3, b: 3, f: 1}. Give prob of picking 1 n, 1 b, and 1 r.\nAnswer: 9\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 553 minutes after 8:37 AM?\nAnswer: 5:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/90 and 83\/6?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -190912499*y**2 + y - 911937237 wrt y?\nAnswer: -381824998*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3273997 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 1888166.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + t - 4*d - 12 = 0, 0 = t + 4*d - 23. Let x(c) = 3 + 7 + c**2 - t*c + 15098*c**3 + 0 + 5702*c**3. Let o be x(5). Round o to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 24*(9\/(-6) + 0). Let x be (-3264)\/i - (-4)\/(-6). Suppose 19*o = 24*o - x. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-10)\/(-8))\/((-3)\/(-12)). Suppose -2*v = -3*n + 23, -6*n + 4 = -2*n. Let b = v + a. Sort b, -3, 3 in decreasing order.\nAnswer: 3, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 15107?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 174 and 116?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: (-4)\/(-2)*3\/(-3)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -3*j + 7. Let m(x) = -8*x + 42. Let r(a) = 5*a - 28. Suppose 9*l - 7*l = 10. Let f(c) = l*m(c) + 7*r(c). Let i(b) = -4*f(b) + 7*h(b). Calculate i(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 516 divided by -6.\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 15670476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 - 1 = -2*h + 5*o, 2*h + 55 = -5*o. Let d = -17 - h. Let t be 4 + (5 - d - 3). Solve 3*n = -t*r - r - 18, 5*r = -2*n - 19 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 4, j: 14}. What is prob of sequence bj?\nAnswer: 28\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round -632001570 to the nearest 1000000.\nAnswer: -632000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 2*j + 228 = 0, -69*x + 694 = -66*x + 4*j. Calculate the remainder when x is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3 + 4 - 7 - b**2 - 3*b**2 wrt b?\nAnswer: -8*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/(-3)*(-2 - -2). Let w = 49785\/19 - 368883\/209. Let q = w - 856. Is x at least as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o - 60 = -5*o. Suppose 16*t + 12 = o*t. Suppose t*h = -5*y + 260, 0*h - 344 = -4*h - 4*y. Is 15 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1498)\/(-2140)*(-10)\/14*186?\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 191 + 192 - 7 - 572 + 191 + 6*v.\nAnswer: 6*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 12100400 and 1512550?\nAnswer: 12100400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) 2 (b) 44 (c) 4 (d) -832 (e) 4\/41\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 29254768?\nAnswer: 2, 1828423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -133 + 131.02. Let g = -9.02 - -9. Let l = v + g. Which is smaller: 0 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1066520351\/2836 - -376065. What is the common denominator of -71\/10 and f?\nAnswer: 14180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in 4\/39, -32, 5, -27, -5?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from dtdwvwvwwvdwdeuwwv. Give prob of picking 1 t and 2 d.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 614.4251 millennia in decades?\nAnswer: 61442.51","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 322 minutes before 3:58 PM?\nAnswer: 10:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 0.04345 + -427\nAnswer: -426.95655","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(f) = 7*f. Let b(q) = 3*q. Let v(j) = 6*b(j) - 3*z(j). Let a(h) = 4*h**2. Determine a(v(o)).\nAnswer: 36*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -4*d - 1. Suppose -4*v - 25 = -3*r, 7 = -3*r - d*v - 2*v. Solve -r*o - 4 = -q - q, 5*o = 5*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -3*v**2 + 18*v - v**2 - 13*v in the form w + s*v**2 + y*v and give y.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 2.70039310975 + -220?\nAnswer: -217.29960689025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*u**3 - 2*u**4 - 16*u**3 + 7*u**3 + (u - 4*u + u)*(-u**3 - u**3 + 4*u**3) to v*u + w + r*u**4 + x*u**2 + a*u**3 and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*j + 680 - 772 = 0 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-16)\/(-4) - (2 + -1). Suppose -3*i - 21 = -4*f, -3*f + 3*i + 12 = 2*i. Suppose 2*m = f*m - z. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 2\/15 (b) 2\/9 (c) 26\/9 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (x + 41 - 84 + 49 - 2*x**2)*(-x + 11*x - 5*x) to the form h*x + l + p*x**3 + j*x**2 and give h.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -34258 + 34277. Solve 10 = 5*o, m + z = -3*o + 26 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 4 - 2. Let n(s) = -5 - 2*s + 2*s - s**i + s + s**3. Let w = -2 + 2. What is n(w)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 113 - 114. Let k be ((6\/(-36))\/p)\/((-2)\/(-2)). Sort -0.2, k, -13 in descending order.\nAnswer: k, -0.2, -13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -4e + 1402cc?\nAnswer: 14027e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(g) be the third derivative of -g**5\/6 + 11*g**2 + 27. Let h(r) = 29*r. Give p(h(k)).\nAnswer: -8410*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 206017.\nAnswer: 7, 19, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.9 + 27.1. Let n = p - 36. Which is the closest to -5? (a) n (b) 5 (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*k + 2*k + 5*k)*(14*k - 17*k - 11*k) + (-k + 0*k + 0*k)*(19 - 6*k - 19).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * -204951.\nAnswer: -20495.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -2\/7, 2, -114, 1, -1\/4, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20*w - w - 6960 = -10*w. Calculate the lowest common multiple of w and 60.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 257397279.\nAnswer: 3, 85799093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) be the third derivative of s**7\/210 - s**6\/120 - s**5\/60 + s**4\/24 + 13*s**2. Factor a(n).\nAnswer: n*(n - 1)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12*y + 775 - 1063 = 0 for y.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let u = -56 - -109. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00833609 to 5 dps.\nAnswer: -0.00834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 4556 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 198\/22*((-1764)\/135)\/((-42)\/35)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:44 PM and 2:34 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w be (2\/(-3))\/(7\/(-21)). Let b(x) = -2*x**3 - 2*x + 2. Let o = 3 + -1. Let h(f) = -2 - o + f + 3. Give w*h(u) + b(u).\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 110 (base 2) to base 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -58 - 56 + 2*r - 159 - 48 - 13 to the form i + w*r and give i.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19.6 + -69.3. Let m = o - -86.6. Let a = m - 36.8651. What is a rounded to two decimal places?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18 + 32 - ((-2 - -17) + 2)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 + 17. Let q be (d*2 - -10)\/(3\/24). What is the greatest common divisor of q and 160?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -k**2 - 17*k - 3. Determine z(-20).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 132998, 265934, 398870, 531806, 664742?\nAnswer: 797678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (-1 + 3 + sqrt(175) + 5*(sqrt(175) + 1))**2.\nAnswer: 420*sqrt(7) + 6344","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 4 + 3 + 6*r - 1. Is 24 a factor of l(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6 and (-18)\/30 - (-33)\/5?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, -67, -37, 4, -2 in increasing order.\nAnswer: -67, -37, -2, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (14\/42)\/((-22)\/(2310\/35))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 9*f**5 + 8*f**3 + 10*f**2 - 7 wrt f.\nAnswer: 540*f**2 + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 403*b**3*o + 393*b**2*o wrt b.\nAnswer: 2418*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Work out 656 - 0.5.\nAnswer: 655.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -0.1127865715 to 2 decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(h) = -15*h + 5. Let y be g(-5). Suppose -8*z = -4*z - y. Calculate the smallest common multiple of z and 16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 3845030, 3845043, 3845056?\n\"Answer: 13*p + 3845017","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.22 - -0.3. Let q = 0.02 + g. What is q rounded to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 2112\/440 + 3\/(-15)*4. Which is the closest to 4? (a) -0.3 (b) f (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1009501 divided by 25.\nAnswer: -1009501\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Put -0.32, -1, 0.9, 2\/5, 0.1 in increasing order.\nAnswer: -1, -0.32, 0.1, 2\/5, 0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -20.2 + 17.5. Let o = 6.7 + u. Suppose 0 = 5*i - 2*i - 3, -4*c - 2*i = 2. Sort c, -3, o in decreasing order.\nAnswer: o, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 102015?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 8*q**2 - 10*q + 10*q - 19*q**2 + 9*q**2. Let y(z) = z**2 - 50. What is f(y(j))?\nAnswer: -2*j**4 + 200*j**2 - 5000","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*o + 10, -5*m + 4*o + 17 = -2*m. Suppose 0*h - 48 = -m*q - 2*h, 0 = 5*h. Let w = -704 - -735. What is the remainder when w is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-7)\/42*-4 - (-1882)\/(-6). Let d = -123 - l. Calculate the highest common divisor of 19 and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 97275244*a**4 + 3519*a**2 - 189*a + 4 wrt a.\nAnswer: 2334605856*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -u**3 - 12*u**2 - 3*u - 10. Let f(a) = 2*a - 7. Let r be f(5). Suppose r*h + 43 = 7. Is 5 a factor of p(h)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 11 - 1. Let z = -14 + c. Let y = -2662 + 2661.7. Sort y, z, 2 in ascending order.\nAnswer: z, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 2. Let r(w) = -w + 3. Let f(x) = x**3 - 10*x**2 - 9*x + 157. Let l be f(9). What is l*g(c) + 3*r(c)?\nAnswer: -3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = 52212*c**3 + 2*c**2 + 2*c - 8. Let d be m(-2). What is d rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: (-37)\/(27\/(-1215)*-45)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**2 - 23. Let j(t) = -157*t**2. What is b(j(p))?\nAnswer: 24649*p**4 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 258*d - 510*d = -1008 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/4 of a week in minutes?\nAnswer: 17640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = 2*y + y. Let q = y - -412. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + (-7 - ((-19 - 1) + (-41 - -41))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 23*f**2 - 6*f - 7. Let z(w) = -24*w**2 + 7*w + 8. Suppose -2*p = 3*k + 15, 3*p + k = -0 - 19. What is p*z(a) - 7*t(a)?\nAnswer: -17*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = 17*s**2 - 2*s - 4. Let v(h) = -h**3 + 52*h**2 - 6*h - 14. What is -7*c(r) + 2*v(r)?\nAnswer: -2*r**3 - 15*r**2 + 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.3027902um to millimeters.\nAnswer: 0.0003027902","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {d: 3, r: 1, m: 1}. Give prob of picking 4 d.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (3\/(-1))\/(-6)*1*-2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w be 7\/(35\/15) + -1. Determine d, given that -180*d**3 - 120*d + 270*d**4 + 40*d**w + 120*d - 135*d**5 = 0.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -3*z**2 - 7*z. Let l(w) = 13 + 4*w - 4*w + w. Let m be l(-7). Let o(v) = 2*v**2 - m*v - 6*v**2 + 2*v**2 - v**2. Calculate 5*o(u) - 4*p(u).\nAnswer: -3*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - -1245?\nAnswer: 1244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 155 = 4*d, -5*d + 7 = -3*k + 63. Solve p = -5*q + 3*p + k, p = -2*q + 9 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*x - 7 = -5*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 4*j - 7784 = -0*j, -5*b + 9740 = 5*j. Let h be (-2)\/5 + b\/55. Solve -h = 9*m - 2*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24446728109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-2)\/5 - 3\/5. Let k be r\/(-2) + (-33)\/(-2). Let p(v) = -1740*v + 288856. Let o be p(166). Is k != o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + (2 + 1 - 5) + (-137 - -135)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 34 (base 8) to base 7.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 16449?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -6*x + 16*x - 230. Suppose -29*c = -x*c. Solve 0 = -4*y + y - 4*d - 3, -d + 3 = c for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 9, -2, 10, 3, 4 in decreasing order.\nAnswer: 10, 9, 4, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 24 = -2*v, -8 = -2*v - 2*v. Let g be 66\/q + (-32)\/(-112). Solve 11 = g*r + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 33319 is divided by 387?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -5*p**4 + 255*p**3 + 525*p**2 + 265*p = 0.\nAnswer: -1, 0, 53","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -1328558*d**2 - 20692519 wrt d.\nAnswer: -2657116*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Determine q, given that 2*q**2\/9 - 33728*q\/9 - 67528 = 0.\nAnswer: -18, 16882","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**2 + 61*k + 282. Calculate y(-5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 m and 1 u when three letters picked without replacement from kmmuk?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*t + 92 = -52. Solve 3*x = -3*q - 9, -3*q = -t*q - 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 4 - (0 - (0 + -1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 11254 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t = -16 - -18. Suppose -3*g - 4464 = -0*g + t*x, 2*x = 6. Round g to the nearest one hundred.\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10)\/(-45)*540\/400.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = b**3 + 8*b**2 + 6*b + 7. Let h = 357 - 364. Calculate d(h).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 535*u**4 + 182*u**3 - 5270*u**2 + 8*u wrt u.\nAnswer: 12840*u + 1092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 539 minutes after 10:04 PM?\nAnswer: 7:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*n + 4*w - 1402 + 7126 = 0, 4*n = -5*w + 5697. What is the highest common factor of n and 102?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -6 - -8. Let x(r) = -r**3 + 4*r**2 - r - 2. Let u be x(g). Suppose 8 = u*t, p + 2 = 5*t - 1. Solve 0*d - 4*n = -3*d - 6, -n = 2*d - p for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) be the second derivative of -8*b**3\/3 - 11*b**2\/2 - 6*b. What is the derivative of c(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 39 = 5*f, 4*g + 3 = -5*f + 21. Calculate the remainder when 35 is divided by f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000061975 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is a + b5?\nAnswer: bf","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -34 = -13*d + 9*d + 5*u, u = -4*d + 22. Calculate the least common multiple of d and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 44 = 2*y. Let x = y - 11. Let z(d) = -d + 16. Is 6 a factor of z(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -a**3*m - 20*a**3 - 6*a**2*r**2 - 1224*m*r**2 - m wrt m.\nAnswer: -a**3 - 1224*r**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let d be 548\/(-411)*(0 - (-6)\/(-4)). Solve 21*n - 3 = 22*n + i, d = -2*i for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-5 - -225) + 6\/2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(75)*-2*-3 + -4 + sqrt(75) + 6*(1 + sqrt(75)) + 2 + sqrt(75) + 0)**2.\nAnswer: 560*sqrt(3) + 14716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hoii when four letters picked without replacement from {e: 4, o: 1, h: 2, i: 2, n: 4, t: 2}.\nAnswer: 1\/8190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = -b**2 + 5*b + 5. Let p be c(5). Let n(y) = y - 5. Let k be n(p). Suppose -h + 2*l + k*l = -34, 0 = -3*h + 2*l + 82. List the prime factors of h.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 305*w**2 + 24*w**2 - 645*w**2 + 312*w**2 + 13 - 13.\nAnswer: -4*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-1)\/1*(1 + -3). Solve -2*l - 3*k = 5 + m, -l = -5*k - 3 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 + -38. Let n be (-20)\/(u\/1*(-8)\/(-12)). Let m = 4 + 1. Solve 3*r - n = m*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -1686*m + 10. Let n be w(-2). Let b = n + -20183\/6. Let l = b + -50\/3. What is the closest to -1 in -3, -5, l?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 25649?\nAnswer: 13, 1973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ujl when three letters picked without replacement from jllujuluulj?\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 56.05395 millennia?\nAnswer: 672647.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) be the first derivative of 5\/3*g**3 + 10 + 7\/2*g**2 + 1\/4*g**4 + 3*g. Factor d(j).\nAnswer: (j + 1)**2*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 26. Suppose 0 = 5*y - 2 - t. What is the units digit of ((-1)\/y)\/((-3)\/81)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (1\/3)\/((-2)\/(-1086)). Let t = -64 + 67. What is the third derivative of 5*n**5 + 3*n**t - 3*n**3 - s*n**2 + 182*n**2 wrt n?\nAnswer: 300*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -22612353 (base 9) to base 4.\nAnswer: -221323131000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 745143 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((216\/(-24))\/((-143)\/(-26)))\/((-1)\/308*6)?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**2 - 2*x - 4. Let h be v(4). Let n = 14 + -17. Put n, h, 3 in descending order.\nAnswer: h, 3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -0.028 and -181933815952.\nAnswer: -181933815952.028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -28*a**2 - 2*a**3 - 2*a**3 + 28*a**2.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 0.26*0.2\nAnswer: 0.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -265409, 1, 424 in ascending order.\nAnswer: -265409, 1, 424","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 222210 or 223199?\nAnswer: 222210","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 - 22*q - 32. Let n be p(-19). Suppose -11 = 7*j - n. Solve 2*c + j*k + 2 = 6, -k - 13 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(d) = -6*d. Let u(i) be the third derivative of i**4\/24 - i**3\/6 + i**2. Let q(z) = -o(z) - 5*u(z). What is q(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 61575 and 12?\nAnswer: 246300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = 3 + -7. Let u be (21\/(-74))\/(-7)*8\/(-2). Let s = u + -44\/185. What is the nearest to -1\/2 in i, s, 0.3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = l**2 - 9*l - 31. Let o be 3\/(((-36)\/(-56))\/3). Let a be c(o). Let n be (520\/a)\/((-1)\/(-28575)). What is n rounded to the nearest 10000?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = 11*k + 5. Let b be q(-1). Let h be -1 - -110 - (b + 10). Let d(i) = 22*i - 1. Let o be d(1). Calculate the highest common divisor of h and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2280 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is -1245403.455309 minus -3.52?\nAnswer: -1245399.935309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -t - 12 = -6*l + l, 5*t - 44 = -l. Calculate the remainder when 68 is divided by t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h**(-1\/11)\/h**(-18))\/(h**(2\/21)\/(h*h**(-1))) assuming h is positive.\nAnswer: h**(4115\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*m = 3*j + 7*m + 39, -39 = 4*j + 3*m. Let h be (8\/(-7))\/(j\/14). Determine d, given that 2\/3 - 2\/3*d**5 + 4\/3*d**3 + 2\/3*d**4 - h*d**2 - 2\/3*d = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) be the third derivative of -58*x**8\/21 - x**5\/6 - 3*x**4\/8 + 16*x**2 - 50. Find the third derivative of j(u) wrt u.\nAnswer: -55680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*b**4\/4 - 9*b**3 - 81*b**2\/4 + 30*b.\nAnswer: -3*b*(b - 1)*(b + 5)*(b + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -202 - -13?\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*u + 71 = 261 + 1561 for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 156846?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-3)\/(-15) - 6993\/(-35). What is the greatest common factor of 32 and r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -48a58 + -148?\nAnswer: -48ba1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = -2*i - 5. Calculate the remainder when 65 is divided by a(-19).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = 6*r**2 + 77*r + 3. Calculate m(-12).\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 7369465420 rounded to the nearest one million?\nAnswer: 7369000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -i**3 - i + 28. Let u be 3 - (-2 - 15\/(-3)). Let m be g(u). Calculate the highest common divisor of m and 42.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x = 5*h - 20353, 3*h - 5*h + 8149 = 3*x. Is h a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-136)\/(-4)*(2\/3)\/((-220)\/165)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-k - 2*k + k)*(-2 + 2*k**2 + 2) - 5*k**3 + 4*k**3 - k**3 - 2*k**3 + 3*k**3 - 2*k**3)*(-2*k + 0 + 0)*(4 + 1 - 3).\nAnswer: 28*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_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: Let i(w) = -w + 13. Let o be i(7). Suppose -12 = -2*d + o*d. Let x(p) = -4*p + 4. Let l be x(d). Solve 0*c + l = -4*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m, given that -4*m**3\/5 - 8*m**2 + 412*m\/5 + 448\/5 = 0.\nAnswer: -16, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-1))**(6\/29)\/(i**3*i**(1\/6)\/i)*(i**(1\/3))**(2\/15)*i*(i\/((i\/(i\/(i*i**(-6)\/i)*i))\/i)*i)\/i*i*i\/((i*i**(-3\/2))\/i) assuming i is positive.\nAnswer: i**(14578\/1305)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 11 and 737.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -k**3 + 13*k**2 - 15*k. Let r be x(11). Let t = 461\/6 - r. Find the common denominator of t and (0 + (-365)\/30)\/(2\/2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 120388 is divided by 23636.\nAnswer: 2208","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6\/19 or -2?\nAnswer: -6\/19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 3272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*s*t**4 - 323*s*t + 12*s - 3 with respect to t.\nAnswer: -8*s*t**3 - 323*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:35 PM and 4:34 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a - 23*p = -21*p + 18, -3*a + 305 = -23*p for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -6055097 divided by 6\nAnswer: -6055097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -445 by -89.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5 + -5 + (-1149)\/15. Let o = d + 77. Factor 4\/5 - 6\/5*x + o*x**3 + 0*x**2.\nAnswer: 2*(x - 1)**2*(x + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -c**2 + 12*c - 30. Let g be l(9). Let o(s) = 7*s + 1. Let q(x) = 1 + 8*x + 6*x - 8*x. Let k(u) = 3*o(u) - 4*q(u). Determine k(g).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.09238822702712 minus -2.5?\nAnswer: 2.59238822702712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/((-2)\/(-176)) - -1. Let l = -24 - h. Suppose -4*q - 5*n + l = -41, 2*q + 2*n = 54. Round q to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes before 6:35 PM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + -2*5*sqrt(3) + 2 + sqrt(3)*1.\nAnswer: -9*sqrt(3) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -6826 <= -7824?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*sqrt(147)*1*2*-6.\nAnswer: 84*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find f, given that -169*f**5\/5 + 1157*f**4\/5 - 1678*f**3\/5 + 566*f**2\/5 + 119*f\/5 + 1 = 0.\nAnswer: -1\/13, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand 19*x**5 + 16*x**5 - 11*x**5 + (-2*x + 5*x + 4*x)*(-4*x + 4*x - x**4).\nAnswer: 17*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(x) = -x**3 - x**2. Let u be l(-2). Solve 2*f = 2*z + 4, 5*z = -1 - u for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20\/((-540)\/(-63))*-54*(-1)\/21.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -36359, -145429, -327213, -581711, -908923, -1308849, -1781489?\n\"Answer: -36357*r**2 + r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = 34*n - 6. What is the second biggest value in n, 7\/2, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5460813.\nAnswer: 3, 606757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - i - i + 4 = 0, 3*j - i = 4. Let t = -1346 - -1347. Solve 0 = j*v + 6, 9 + t = -3*w + v for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 3 and -0.211.\nAnswer: -0.633","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 10328*f**5*z**2 + 7*f**3*z**3 - 6*f**2*z - 1481*z**3 wrt f?\nAnswer: 619680*f**2*z**2 + 42*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z - 2*z + 11*z**2 - z**2 - 2*z = 0. What is z?\nAnswer: 0, 3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = o**3 - 10*o**2 + 3*o - 30. Let c be i(10). Solve 5*x + 25 = c, r - 2*r = x + 5 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 75 (b) 0.045 (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u = -2*f + 26 + 8, -f - 2*u + 2 = 0. Suppose 6*r - 48 = f*r. Let x be (-1550)\/(-18) - r\/(-72). Do 86 and x have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*d = -2*p + 10, 7*d = 3*d + 2*p - 10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) = -2*d**2. Let k(i) = 4*i**2 + 3*i + 78. Let w(n) = n**2 + n - 1. Let c(x) = -k(x) + 3*w(x). Give c(g(f)).\nAnswer: -4*f**4 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ncuuxcnxuccunfg. What is prob of sequence xug?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c = -21 - 2. Let y = c + 33. Solve 5*g - y = -4*j, 2*j = 4*j - 2*g + 4 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1660046144 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((i - i + 2*i)*(4*i - 2*i - i) + (0*i + 2*i - 4*i)*(-3*i - 2*i - 3*i))*(0*i - 4*i + i).\nAnswer: -54*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 423, 860, 1301, 1746, 2195?\n\"Answer: 2*t**2 + 431*t - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z = z - 16. Let m be z\/3 - 1\/(-3). Solve -m*b - 2 + 5 = 0 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 5*18\/60*(-2)\/3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -46193*z**2 - 87. Calculate r(0).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 1124, 1137, 1152, 1163, 1164, 1149, 1112?\n\"Answer: -t**3 + 7*t**2 - t + 1119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000039208236 rounded to 5 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2556904 divided by 1.\nAnswer: -2556904","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*(6*5\/(-165))\/(-2).\nAnswer: 4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = -6*u**3 + 7*u**2 + 14*u - 3. Let q(j) = -5*j**3 + 7*j**2 + 14*j - 2. Let p(c) = -5*q(c) + 4*w(c). What is the hundreds digit of p(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 1 + 4 + (5 - 2). Is 0 - -48 - (g + -6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 11 + -9. Suppose -12*x + 1016 = -4*x. Suppose 5*a - q*f = x, -3*a + f + 72 = 4*f. Solve 2*v + 3*v = a for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 64972 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 77, 79, 71, 47, 1, -73, -181, -329?\nAnswer: -523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -3*v - 19. Let m(y) = 3*y + 19. Let g(u) = -5*m(u) - 4*q(u). Let f be g(-3). Let b(h) = 2*h + 20. Let c be b(f). Solve w + 5 = -c*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 15 - 23. Let n be 2\/(-9) - q\/36. Suppose 2*u - 6 = -n. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1690 + 4583. Does 60 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -595*z - 8922. Determine t(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 1672046 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.05, 6\/5, -5 in descending order.\nAnswer: 6\/5, -0.05, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88095836?\nAnswer: 2, 17, 101, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = k**2 + 1. Let v(l) = 16*l**2 + 2. Let n(m) = 13*m**3 + 63*m**2 + 3*m + 62. Let x be n(-5). Give x*c(j) + v(j).\nAnswer: 13*j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 71948 is divided by 23981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 28966 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = 3*b**2 - 21*b + 25. Calculate z(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 AM and 9:50 AM?\nAnswer: 193","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} {"text":"Question: Let d = -281 - -250. Which is greater: d or -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 462 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 4*j = 4*q + 7, 3*j - 6 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(m) = -2*m**2 - 22*m - 6. What is the least common multiple of u(-9) and 25?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 647118.\nAnswer: 2, 3, 35951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k be ((-1)\/4)\/(4\/8). Let r = 8.9 - 8.8. Which is the nearest to -1? (a) -0.1 (b) r (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 9) to base 12\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7.3 - -6.89. Let x = -0.49 - r. Let b = 0.3 - 3.3. Put x, 1\/4, b in increasing order.\nAnswer: b, x, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 9 - 43?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 11591008 and 7599.\nAnswer: 34773024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = -l**3 - 5*l**2 + 3*l + 1. Let s be m(-6). Let q = 22 - s. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1331 in -3, -2, -5, 3, 0.013, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -5848130 or 3\/4?\nAnswer: -5848130","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -39c (base 14) to base 15\nAnswer: -336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -1.44618 + 38?\nAnswer: 36.55382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**2 + 7*u + 5. Let w be a(7). Suppose 0 = 4*f - 8, -w*f + 5 = -d - 3. Factor -4*h - 3 - 2*h**2 - 2*h**d + 3.\nAnswer: -4*h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) be the second derivative of 7*c**4\/12 + 4*c**3\/3 - 3*c**2\/2 - 34*c. Let g(z) = -20*z**2 - 23*z + 8. What is 17*f(j) + 6*g(j)?\nAnswer: -j**2 - 2*j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -35461554*x**2 - x - 67713021?\nAnswer: -70923108*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 795766?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1672432 from 0.026.\nAnswer: -1672431.974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*i = -34 - 5. What is the remainder when i*4\/(-18)*(-702)\/(-4) is divided by 30?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 229 or 20743.54?\nAnswer: 229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c + 61 = -5. Suppose -m + 3 + 6 = 0. Find the first derivative of -c - m*j - 6 + 13 wrt j.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 231 minutes before 7:18 AM?\nAnswer: 3:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 10\/4*(-12)\/(-780)*13\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 488328?\nAnswer: 2, 3, 20347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jzz when three letters picked without replacement from {z: 3, j: 5, a: 3, x: 1}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/11? (a) -63 (b) 5\/2 (c) 4 (d) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 578 minutes before 8:18 PM?\nAnswer: 10:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*g**2 - 12*g**2 + 15*g**2.\nAnswer: 10*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 9*w - 26. What is u(-10)?\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c + 2, 2*c + 0*c - 42 = -4*u. Let p = 14 - u. Solve -t - 2 = 0, 4 = -0*y - y - p*t for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in -3\/2, 0.2, -1\/6, 633?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round 68298.3572 to 0 decimal places.\nAnswer: 68298","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-7)\/2)\/(170\/340) + 5.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -3 - -13. Let m(o) = -o**3 + 12*o**2 + 14*o + 5. Let x(y) = 2*y**2 + 8*y + 3. Let g be x(-5). Calculate the remainder when m(g) is divided by p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*v - 4*v - 84. Suppose -15 = 4*i - h - 66, -3*h = -i + v. Let s = i - 1. Does 11 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 462697169 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j be 13\/26 + 0 + 1\/6. Let c = -4.6 + -16.4. Is c greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:57 PM and 3:13 AM?\nAnswer: 496","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) be the third derivative of t**6\/120 + t**5\/12 + t**4\/8 - t**3\/6 + 17*t**2. Calculate the remainder when 14 is divided by q(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 2175 and 945603.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4007 = 246*o + 5833 for o.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h(j) = -j - 22. Let s be h(-11). What is s rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -204503\/20 - -10228. Let p = 6895\/4 - 1749. Find the common denominator of p and d.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = p**2 - 7*p + 5. Suppose 3*d + 5*s = -13, 5 = -d - 2*d - s. Let a = d + 7. Let i be k(a). Is -2\/7 greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 353 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -199, 1, 1802?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1\/((-630)\/54 + 14).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iqqqiiqnq. Give prob of picking 1 q and 1 i.\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 9\/(-117) + 6660\/52 and 24.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 less than 47\/22753?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -0.0741, 14, 3 in descending order.\nAnswer: 14, 3, -0.0741","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let l = -31 - -33.96. Let u = 2.4 - l. Let j = 0.06 + u. Round j to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -60.04, 25, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*p + 22 = 5*v, -272*v + 273*v = 0 for p.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let f(t) = 4*t + 48. Let i be f(-8). Suppose i*r - 4*r - 60 = 0. Let x = -0.6 - -0.8. Which is the smallest value? (a) r (b) 6 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 54951 and 312.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -3 (base 15) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000367395 to 5 decimal places.\nAnswer: 0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -18*f + 17*f = -i + 2*i - 54*f + 3, -12 = 4*i - 5*f for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -40*d**5 - 2*d**3 - 19*d**2 - 61206*d.\nAnswer: -800*d**3 - 12*d - 38","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3 or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(2\/5))\/c*c**(5\/6)*(((c*(c\/(c\/(c**9\/c)*c))\/c)\/c)\/c)\/c**4 assuming c is positive.\nAnswer: c**(67\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9)\/(-42)*12*(-18186)\/(-3897).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t be 9\/6*1\/(-15). Let g = 0.006 + 1.994. Let v = 215 - 220. Which is the third smallest value? (a) 5 (b) g (c) v (d) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from vvdfvfvxfdfxffddvv. What is prob of sequence ddxf?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s(c) = -c**2 - 2171*c - 32335. What is s(-15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d - 2745 = -5*m, 2746 = 7*m - 2*m - 4*d. Suppose -4*x - x - 5*w = -m, 4*x - 4*w - 472 = 0. What is the remainder when x is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sqqsssqssq?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3*d - d - d)*(-6*d + 4*d + 0*d) - 81*d**2 - 8*d**2 - 57*d**2 to the form v + h*d + t*d**2 and give t.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2557*b**3 + 1474*b**3 - 1339*b**3 + 1677*b**3 + 4491*b**3.\nAnswer: 8860*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*f - 816 - 96 = 0. What is the smallest common multiple of 12 and f?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 31858986 a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the second derivative of 1\/6*j**3 - j**2 + j + 0. Suppose 0 = 4*d - 6*d + 4. Calculate b(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 5*k - 29 + 4 = 0, 20 = -4*k. Suppose -6 + 18 = 3*b. Solve -b*h - 3 - 5 = n for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 386 minutes after 2:01 AM?\nAnswer: 8:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 625930753 take away 0.017?\nAnswer: 625930752.983","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.004, 3, 4, -0.4?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be -2 - ((-6)\/(-3))\/2. Let i(g) = -g**3 - 4*g**2 - 4*g - 6. Let u be i(t). List the prime factors of u*(2 - 1) - -134.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:05 AM and 7:03 AM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find s such that 0*s**2 + 0 - 2\/19*s + 2\/19*s**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.089 + -0.089236. What is g rounded to five decimal places?\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 40 and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 - 1 + 2*n**2 - 24*n**2.\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 522 is divided by 61?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) be the third derivative of 0*z**5 + 0*z**3 - 1\/70*z**7 - 1\/2*z**4 + 0 + 0*z + 38*z**2 + 3\/40*z**6. Factor t(v).\nAnswer: -3*v*(v - 2)**2*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 21510206 (base 8) to base 6.\nAnswer: 243041450","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 852 is divided by 285.\nAnswer: 282","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -71 = 30*k + 167 + 242 for k.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 682.7644 decades?\nAnswer: 68.27644","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort -12, 4, -1, -2.\nAnswer: -12, -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -8 - -17. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1650 = 27*t + 6*t. What are the prime factors of (t + 3564)\/((-4)\/(-2))?\nAnswer: 7, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87272293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b, 1 k, and 1 o when four letters picked without replacement from kkbkkbkkkkokkkojkww?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 0.32735323 to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 296\/(-111)*(-15)\/(-4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c - 8 = -4*h, 0 = -5*h - 3*c + 8*c + 10. Let i = h + 3. Solve -2*f - 7 = f - i*m, -12 = 4*f - 4*m for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 7034630408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + (5 + (sqrt(1100) - (sqrt(1100) + 0)) + sqrt(1100) + 2)*5 + 5)**2.\nAnswer: 3800*sqrt(11) + 28944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18241 + 18239. Suppose 2 = 5*o - 18. Sort -6, 3, o, b in increasing order.\nAnswer: -6, b, 3, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2 - 0\/(2 + -1). Let c be 56\/(-16)*(-12)\/10 + -4. What is the third smallest value in w, 4, c?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -39686, -39478, -39270, -39062?\nAnswer: -38854","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 78087?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 3, i: 1, k: 2, a: 3, y: 1, h: 3}. Give prob of sequence kkyh.\nAnswer: 1\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose t - 64 = -3*t. What is the remainder when 63 is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -103*u**3 - 11599 + 11599.\nAnswer: -103*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1012 (base 3) to base 14\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = -561 + 327. Let m = 233.1 + j. Which is the nearest to 1? (a) 1 (b) -1\/7 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5733404 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 142 - 4359*l - 11704*l - 142 to the form x*l + p and give x.\nAnswer: -16063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v = 3.5 + -6.8. Let u = v + 2.3. Let c = -724\/7 - -98. What is the closest to u in c, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(sqrt(11) + sqrt(275) + 1).\nAnswer: -12*sqrt(11) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0*2\/4)\/(-2). Is o not equal to -2\/19?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -12 + 21. Let n(w) = 12*w - 2*w**2 - 6*w + 7*w - 9 + 2*w + 8*w. Does 9 divide n(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 5 - (-4 - 16\/(-1)). Let w(s) = -2*s - 10. Give w(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of (-33)\/(-55)*561280\/64?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 2 (b) -0.1 (c) -2\/2489\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2 - r + 4 - 2. Let w(a) = -11*a - 91. Let o be w(-8). Calculate j(o).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d\/d**(8\/5))\/(d**22\/d)*d\/d**(-2\/17)*d\/((d\/(d**22*d))\/d) assuming d is positive.\nAnswer: d**(299\/85)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -5.189 and -779599059?\nAnswer: 779599053.811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 10176 and 3903076032.\nAnswer: 10176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 104623660 to the nearest integer?\nAnswer: 471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -13197608 times -2?\nAnswer: 26395216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 548*u + 421*u**2 + 543*u + u**3 + 0*u**3 to the form v + q*u**3 + o*u + s*u**2 and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -5*u + 4. Let o(j) = -j. Let w(p) = -2*p**3 + 68*p**2 - 2*p + 64. Let a be w(34). Suppose -2*m + 1 = -m. Let s(r) = a*o(r) + m*b(r). Determine s(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -43*f**4 + 128*f**4 - 139*f**3 + 66*f**3 + f**2 + 72*f**3 to the form o*f**3 + x*f**2 + l + d*f**4 + u*f and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 0 + 1)*(0*t - t + 3*t) - 3*t + 0*t + 4*t - 3*t + 3*t + t)*(5*t - 3*t + t).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sssnsxnsnssssnnxsn. Give prob of picking 2 x and 1 s.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o + 37 + 8 = 0. Let j = o + 12. Suppose -j*s = 2*t - 38, 2*s - 47 = -5*t + 2*t. What is the remainder when 49 is divided by t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z + 1337*h - 40 = 1336*h, -5*z + 4*h + 71 = 0. What is the smallest value in 0.26, z, 0.1, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) be the first derivative of -d**4\/4 - 2*d**3\/3 + 3*d**2\/2 + 6*d + 13. Determine f(-4).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -0.1261792 and -38569657.\nAnswer: -38569657.1261792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 7, c: 5, x: 1}. Give prob of sequence ocx.\nAnswer: 35\/1716","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -221 = -l + 299. Suppose -5*q + 3*k + 507 - 11 = 0, 5*q + 5*k - l = 0. Suppose 2*z = -3*s + q, 2*z - 34 + 3 = -s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 1 - -1. Suppose -2*l - 20 = 3*t - 4*t, 0 = -2*l + a. Let y be (-4)\/t - (-36)\/198. Solve -4*f + 2*f = y for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -35.5825498 and -1.4456?\nAnswer: 34.1369498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19266 is divided by 5804?\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31*r - 15*r + 21246 = -19326. What is the highest common divisor of r and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -62 - -80?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 87863.4 rounded to the nearest one thousand?\nAnswer: 88000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a = -7 + 9. Suppose 2*z - a*h = 7*z + 65, 2*h - 10 = 0. Let q = 13 - z. Calculate the greatest common divisor of 70 and q.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = i - 4*z - 15, 2*i - z - 5 = 3*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 - 1 = 2*z + 5*p, -12 = -3*p. Solve z = -2*w - 4*f - 26, -3*f + 2 = -4*w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**2 + 41*w - 107. What is x(-32)?\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is (2\/60)\/((7\/(-4))\/(-7))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = 16*i**2. Let a(d) = -5*d. What is a(s(v))?\nAnswer: -80*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Add together 0.59433 and -12.\nAnswer: -11.40567","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -2, 29, 84, 169?\nAnswer: 290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (271*u + 22845 - 22845)*((1 - 1 + 1)*(-1 - 4 + 3) - 2 + 3 - 6).\nAnswer: -1897*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-165*p + 150*p - 820*p)*(-p + 1 - 3 + 5)*(-16*p**2 - 5*p**2 + 5*p**2) to v*p**4 + m*p**3 + t*p + y*p**2 + j and give v.\nAnswer: -13360","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -237, -375, -513, -651, -789, -927?\nAnswer: -1065","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l = 113206 + 41233. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -32 = -5*c + 3*c - 4*c + s, 4*c = 5*s + 178 - 122 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -36533706 + 3029*l + 36533706 to the form u + w*l and give w.\nAnswer: 3029","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (92*t**2 + 38*t**2 + 6*t**2)*(8*t - 11 + 11).\nAnswer: 1088*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 216977 is divided by 19047.\nAnswer: 7460","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 + 713 = 5*n. Suppose 5*d + 3*q - n = 0, -4*q + 8 = -0*q. Calculate the smallest common multiple of 22 and d.\nAnswer: 308","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (38*(-1035)\/7866)\/(-1 + -184)?\nAnswer: 1\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) be the third derivative of -o**4\/12 + 2*o**3\/3 + 2*o**2 + 36. Let y(d) = 1. Calculate f(m) - 2*y(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - k)*(0*k**4 + 0*k**4 + k**4) - 24*k**2 + 24*k**2 + 11*k**5.\nAnswer: 10*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (9\/(-7))\/(66\/(-77))?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 305813233.\nAnswer: 11, 31, 53, 16921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -2693781, -5387574, -8081367, -10775160?\n\"Answer: -2693793*y + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73*s = 72*s + 17. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -114, -363, -778, -1359, -2106?\n\"Answer: -83*m**2 - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2*o**2 - 85*o + 908. Calculate c(19).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = -1 + 2 - 5*c + 2. Suppose 40 = 18*w - 8*w. Suppose w*f + 28 = 3*a + a, 4*a = -2*f + 4. Let n(v) = 26*v - 16. What is a*n(k) + 16*q(k)?\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/46787 and -46\/5.\nAnswer: 233935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 16127*o + 3707*o + 254496 + 211922 + 1060800 = 0 for o.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let f = -15769\/70 - -1101\/5. Let h be (73354\/3)\/((-40)\/(-18)). Let a = -11014 + h. Find the common denominator of f and a.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(72) + 2 - sqrt(10)\/sqrt(5)*-2) + (sqrt(16)\/(sqrt(32)\/sqrt(4)) - (2 + sqrt(50))))**2.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort 1\/4, -0.2, -6, 1, 48, -7\/12 in ascending order.\nAnswer: -6, -7\/12, -0.2, 1\/4, 1, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 491004*b**3 - 47*b**2 + 2644 wrt b?\nAnswer: 2946024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) = 2*f**2 + f + 3. Let h(r) = 18*r**2 + 3*r + 13. Let l(y) = -h(y) + 4*u(y). Let b be l(0). Which is smaller: -2\/205 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in h + 13*h**3 + 8511*h**2 + 3*h - 8508*h**2.\nAnswer: 13*h**3 + 3*h**2 + 4*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) be the second derivative of -3*j**5\/20 + 23*j**4\/2 + 98*j**3 + 300*j**2 + 1725*j. Find i such that c(i) = 0.\nAnswer: -2, 50","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13550347 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 5328, -3, 4, 0.3.\nAnswer: -3, 0.3, 1, 4, 5328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y = 22927 - -25733. List the prime factors of y.\nAnswer: 2, 3, 5, 811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10 = 3*b + 2*l, -l - 25 = -4*b - 6*l. Let f be 18\/((3 + b)\/(-3)). Find the common denominator of 44\/3 and 4\/6 - 75\/f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 770 + 2 + 515 = -99*s for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a. Let d(p) = 1145*p + 347. Give t(d(c)).\nAnswer: 1145*c + 347","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate (15 - (-658)\/(-44))\/((-18)\/(-396)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*u - 41 + 17. Let h(v) = v**3 + 6*v**2 + v + 6. Let p be h(u). Solve 5*g + p*g + 4*k - 5 = 0, -5*k - 35 = -2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*j - 1140 = -7*j + 3*m, 3*m - 4575 = -4*j. Suppose 12*k = j + 11517. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-1368)\/(-266))\/((-792)\/3696)?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-84)\/(-20) + (-2)\/10. Let k be (-4)\/10 + 81\/15. Solve j - k = -h*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = -b**3 - 3*b**2 + 5*b. Suppose 16 = 4*l, 0 = 4*p + l + 33 + 83. Let k(a) = -a**2 - 33*a - 94. Let j be k(p). Determine m(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2b6d6 (base 15) to base 12\nAnswer: -68b86","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 111110100 + 10010100100?\nAnswer: 11010011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.65 - -4.25. Let v = -3.599918 + n. What is v rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -311 - -312. Let s be (2\/4)\/(m\/10). Solve -x = 4*x + s for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -85*(-428)\/2996*(-14)\/(-2)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 0 times 78.4\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 50060878?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is -158755 at most as big as -158756?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.38177 weeks to seconds.\nAnswer: 3254894.496","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in 0, -7, -12?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -12 - (-7 + 4) - -14 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 4 divided by 69\nAnswer: 4\/69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 534532 a multiple of 164?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let l = -160 - -249. Calculate the remainder when l is divided by 19.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) -1.5 (b) 2\/349 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**2 - 5*a + 26. Let p be d(-8). Let z(r) = -4*r**2 + 3*r**p + r**2 - r**2. Let h(t) be the second derivative of -t**4\/12 - t. What is z(h(y))?\nAnswer: -y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5427.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -s - 8. Let i be w(-6). Let n be (-3)\/18 - i\/12. Solve 6*k - k = n for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: (305\/183)\/((-15)\/(-9))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4 + sqrt(931) + (sqrt(931) - (-1 + sqrt(931))) + 3)**2 - 1*(-1 + sqrt(19) + (sqrt(57)*-1)\/sqrt(3))**2.\nAnswer: 930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 321 - 144. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 638 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {y: 1, p: 4, l: 9}. What is prob of picking 2 p?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + (sqrt(121)\/(sqrt(44) + sqrt(11)) - (-1 + sqrt(1100))).\nAnswer: -29*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f**4)**(-29)*((f*f**(1\/15))\/f*f)\/(f*f**(-16)))**9 assuming f is positive.\nAnswer: f**(-4497\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -167\/534072 and 31\/31416.\nAnswer: 534072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -122054 - -132023?\nAnswer: 6636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 72 and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 8 + (5 - 10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 2*a**3 + 48*a**2 + 142*a - 297. Calculate s(-20).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is a in 2*a**2\/23 + 6872*a\/23 - 13752\/23 = 0?\nAnswer: -3438, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -79468012 = -4*m - 2*k, -19867030 = -63*m + 62*m - 5*k. Round m to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-108)\/(-11) + -10 - 1703750\/(-22) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -11 - -26. Suppose -w = 2*w - y. Factor k**2 + 5*k - w*k.\nAnswer: k**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (12 + -1 - 3) + (-75 - -82).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = 40*x - 174. Give d(-7).\nAnswer: -454","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l = 45 + -44. Is 4 < l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -89 + 86 - x**4 + 2*x**4 + 10*x**3 - 17*x**3 - 2*x**4 to d*x + l*x**4 + j + c*x**2 + i*x**3 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -286*i + 848*i - 3934 = 0 for i.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2333312 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -526 (base 8) to base 4.\nAnswer: -11112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/(-14))\/(26\/(-13))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) be the third derivative of 0*w**3 - 2 + 0*w**4 - 13\/20*w**5 + 0*w - 33\/20*w**6 - 6*w**2. What is the third derivative of l(k) wrt k?\nAnswer: -1188","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 41\/324 and 25\/252?\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -38, -268, -700, -1334, -2170, -3208, -4448?\n\"Answer: -101*i**2 + 73*i - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 4.76 + -4.759999968. What is c rounded to seven dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 - -4 - 1*2. Let k(t) = 5*t**2 + s + 0. Let a(i) = 2*i. Give a(k(c)).\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h be -2 - -2 - 0 - 2. Let s = -48 - -33. Calculate the common denominator of s and ((-4)\/8)\/(h\/(-29)).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:23 AM and 9:58 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/653103 and 19\/48378.\nAnswer: 1306206","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Total of 11609 and 70.\nAnswer: 11679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 7*v + 664 = 11*v, 4*o = 2*v + 856. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15)\/(-12) - (0 - 3\/(-12))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 48\/(-40) + (-154)\/(-55). Solve -16\/5*k**3 - n*k**2 + 42\/5*k**4 + 0*k + 0 = 0.\nAnswer: -2\/7, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(j) = -j**3 + 8*j**2 + 11*j + 5. Let t be u(9). Let k = t + -19. Solve -3*z - 4*p = z - k, 2*z - 2 = 5*p for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 8*(4 + (-180)\/50). Which is the smallest value? (a) -2\/11 (b) g (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -472569*t**6 + 61046*t**2.\nAnswer: -56708280*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.1 + -12.7. Let m = 13 + y. What is the nearest to -2\/3 in 1\/4, m, -3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(d) be the first derivative of d**2\/2 + 20. Let g(b) = b + 2*b + 3*b. Let n(y) = -2*g(y) + 10*r(y). Let i(w) = w. Determine n(i(m)).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 558 minutes after 10:01 AM?\nAnswer: 7:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 205*f - 14647 = -16902 for f.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 89 and 396673.\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.4 (b) 69 (c) 18 (d) -1\/8 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 110042 + -1322?\nAnswer: 103220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 29*50\/(-5800)*((-5)\/(10\/(-14)))\/1?\nAnswer: -7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -687694 = -357*r + 428645. Is 11 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -2 - 30\/(-18) - (-40)\/12. Suppose 0 = -4*b + 7*b + 9, -3*j - 4*b + w = 0. Put 2, j, -3, -8 in decreasing order.\nAnswer: j, 2, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -98, -1804, -7, 0, 4 in increasing order.\nAnswer: -1804, -98, -7, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5*k - 212 - 3*k**2 + 22*k + 2*k**2.\nAnswer: -k**2 + 17*k - 212","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 2*(-14)\/(84\/(-18))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(h) = 2*h**2 - 6*h + 11. Suppose 2*u + 24 = -0*u. Let q be (4\/u)\/(2\/(-36)). Is t(q) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7 - 348*n + 982*n - 8.\nAnswer: 634*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 210487625?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose w - 2*v = 1, -3*v + 0 = w - 6. Let x(q) be the third derivative of 8\/3*q**w + 0 - 1\/24*q**4 + 15*q**2 + 0*q. What is x(11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2 - -54791.\nAnswer: 54789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*k - k + 2141 + 630.\nAnswer: k + 2771","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 52\/468*((-48)\/56)\/((-5)\/7).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -145, -198, -307, -478, -717, -1030, -1423, -1902?\nAnswer: -2473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((s*s\/(s\/s**(-4)*s*s)*s*s*s)\/s**(2\/5))\/(s**(-2))**(-2\/31) assuming s is positive.\nAnswer: s**(-392\/155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 202507 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f = 5*l - 8, -l - 9*f = -14*f - 19 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 26 + 35 - (319 - 207)\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = -7*y + y + y + 8*y. Let v(x) = 6*x**2. Calculate a(v(i)).\nAnswer: 18*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -3317, 1, -11 in descending order.\nAnswer: 3, 1, -11, -3317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add -2.6 and -46.33.\nAnswer: -48.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*y + 0*y = 228. Suppose 3*a = 850 + y. Suppose j - 3*c - 127 = 0, 3*j - 3*c = 97 + a. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -250*y - 1000 - 527 = 13473 for y.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 divided by -11314163.\nAnswer: 1\/11314163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h be 1*181092 + ((-6)\/2)\/1. Suppose -5*s = 22911 + h. Let d be (825\/20)\/(3\/s). Round d to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = 5*v**3 - 10*v**2 + 19*v - 100. Is y(7) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 29\/5 of a minute?\nAnswer: 348","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = 2*s**2. Let g(i) be the second derivative of 40*i**3\/3 + 1772*i. Determine q(g(h)).\nAnswer: 12800*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 284?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (188672\/(-15456))\/134 + (-1)\/(-23)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 38 and 8*5\/(-10)*-7 - -2?\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 375012 a multiple of 198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -114*u**3 + 5*u**4 - 39*u**3 + 158*u**3 - 30*u**2.\nAnswer: 5*u**2*(u - 2)*(u + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) be the third derivative of 0*u + 1\/24*u**4 - 4*u**2 + 0 - 1\/6*u**3. Give p(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7 + 3*j + 6 - 3*j - 2*j to g*j + z and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 135282\/177155*15\/(-21).\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve q + 4 = 0, 89*q + 70 = -5*l + 84*q for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 2620*y**2 - 10*y - 2617*y**2 - 14*y + 12. Calculate u(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in sixty-four fifths of a millimeter?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -15204, -15208, -15216, -15228, -15244, -15264?\n\"Answer: -2*m**2 + 2*m - 15204","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 44*c**2 + 6*c**2 + 39*c**2 - 79*c**2.\nAnswer: 10*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -95823\/8 - 351\/8*n + 3\/8*n**3 + 171\/8*n**2.\nAnswer: 3*(n - 21)*(n + 39)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 235726 is divided by 72?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 15*0.3893387.\nAnswer: 5.8400805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 12, d: 3}. What is prob of picking 3 d?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = -s**2 - 22*s - 109. Give k(-15).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 703 minutes after 12:15 PM?\nAnswer: 11:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3080709752 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -7*j + 1. Let t be q(-1). Suppose 2*k + 7*s = 4*s + t, -5*k = 5*s - 25. What is the units digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 5, 2\/7, 6\/5 in descending order.\nAnswer: 12, 5, 6\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 964878703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p be 1\/(-2) + (-102)\/(-4). Suppose 5*s = -p, 3*o = -2*s + 18 + 35. Is o a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -f**2 - f**2 - 10*f**2 + 81*f**3 - 28*f - 82*f**3. Let l be s(-3). Suppose -12\/11 - 2\/11*h**l + 8\/11*h**2 - 2\/11*h = 0. What is h?\nAnswer: -1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 31\/5 of a litre in millilitres?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 244*b + k - 4 = 248*b, -2 = 2*b + 5*k for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -411*z - 100212 = -2797*z for z.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00756182 rounded to four dps?\nAnswer: 0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 g and 1 v when two letters picked without replacement from vccgcggvgcddcgv.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -15 + 1 + 8 + 9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15758 = -3*i - 5*d + 99442, 38410 = i + 5*d. What is the tens digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2294266934?\nAnswer: 2, 1147133467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c = 446452 + -446429.9939. Let w = 26 - 4. Let m = c - w. Round m to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = 2*n**2 - 1. Let l be c(1). Suppose -4*v - 5 + l = 0. Which is smaller: 2\/17 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 73773156?\nAnswer: 2, 3, 61, 97, 1039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0\/45 + (-9)\/1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-12)\/4)\/(-24))\/(((-650)\/(-80))\/(-65))*-131.\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11 - 11. Suppose h - 2*h = 4*k - 150, 5*k + h - 187 = a. Let n = -76 + 335. Calculate the highest common divisor of n and k.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -64 (base 16) to base 5.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 141*k - 192*k = 612 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7 = -2*k + 3. Put -5, 8, k in decreasing order.\nAnswer: 8, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 149 - 47 - 54 + 2*d - 51 to the form s + k*d and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 = -i + 2*x + 4, 0 = 3*i - x - 11. Let h = -47.2 + 74. Let y = h + -27. Which is the second smallest value? (a) i (b) 2\/5 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -66, -3, -6 in decreasing order.\nAnswer: -3, -6, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from jshfy. What is prob of sequence yjh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = 13522 + -14217.1. Let c = 695 + s. Put 0.4, c, 2, 8 in increasing order.\nAnswer: c, 0.4, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -2*g - 6. Suppose 0 = -0*y - 4*y + 48. Let m be 2\/(-6) + 76\/y. Let f be (-37)\/m - (-1)\/6. Give h(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -8 (b) -6 (c) 5\/4 (d) -4.8 (e) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -32*n**3 - 11*n**3 + 3*n**2 - 3*n**2.\nAnswer: -43*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -2*c + 4. Let k be a(-3). What is the highest common divisor of k and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 9085 divided by -2487.\nAnswer: -9085\/2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10*r*z**4 + r*z**3 + 5*r*z**2 - 46*r*z - 5*r wrt z?\nAnswer: -120*r*z**2 + 6*r*z + 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 79087*l + 15 - 12.\nAnswer: 79087*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*g**2 - 3*g**2 - 3*g**2)*(-6*g + 8*g - 21*g)*(-31 - 4 + 2) to d*g**3 + s*g + f*g**2 + x and give d.\nAnswer: -2508","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) be the first derivative of 0*c**4 + 0*c - c**3 + 29 + 17\/3*c**6 + 0*c**2 + 0*c**5. Find the third derivative of k(j) wrt j.\nAnswer: 2040*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = -12*u. Suppose 6*w - 2 - 40 = 0. Let b(n) = 8 - w*n - 7 - 1. Give m(b(z)).\nAnswer: 84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r = -4.174 - -9.174. Let a = 3\/10 + -4\/5. What is the nearest to a in 5\/4, r, 4?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -766818, -766732, -766646?\n\"Answer: 86*c - 766904","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -810972, -1621944, -2432920, -3243900, -4054884, -4865872?\n\"Answer: -2*w**2 - 810966*w - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 732670284.\nAnswer: 2, 3, 17, 937, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 261038, 261044, 261050, 261056, 261062?\nAnswer: 261068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**2 + 198*h - 5998212.\nAnswer: 2*(h - 1683)*(h + 1782)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.4, 20\/11, -2186\/5, 0.7?\nAnswer: -2186\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((1 + sqrt(147)*2)*3)**2 - ((1*sqrt(60)\/sqrt(2))\/(sqrt(10) - (sqrt(10) + -2*sqrt(10))*2))**2.\nAnswer: 252*sqrt(3) + 15902\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 4288 or 4290?\nAnswer: 4290","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 8 - ((8 - 6) + 6 + -4) - (55 + 0)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*d - 7*d + 26*d - 179531 = 0. Calculate the greatest common factor of d and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.1624080088 rounded to three dps?\nAnswer: -0.162","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) = -21*s - 5. Let k(c) = 10*c + 3. Let r(q) = 11*k(q) + 6*w(q). Give r(2).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 310 = 145*r - 270 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -35 + 15?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-4)\/(-16) + -1)\/((-6)\/(-25)). Let i = p - -157\/40. Find u such that -i*u**2 + 1\/5*u**5 + 6\/5*u**3 + 0 + 1\/5*u - 4\/5*u**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 95 divided by -970270.\nAnswer: -19\/194054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*o = -3 - 3. Let v be 2\/1 - 4\/o. Let b(q) = 2*q + 0 + 1 - v*q. What is b(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7 - (19 - 16)) + -18?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (13\/(-390))\/(48\/144).\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-9 - 571)\/(1996792\/(-249600) + 8). What is m rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*a + 33*a - 8*a - 5*a - 14*a + 7 - 8*a.\nAnswer: a + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of 0 + b**2 + 0*b + 0*b**4 + 1\/40*b**5 - 1\/2*b**3. Let n(x) be the first derivative of m(x). Let h(i) = i. Give h(n(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l = -253 + 326.3. Let h = 73 - l. What is the fourth smallest value in 2\/5, 5, h, -0.4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*d + 1964 + 7324. Is -1547 greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1496278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-3)\/9*1 + (-32)\/(-6). Sort 2, -36, d in increasing order.\nAnswer: -36, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 0.08, 0.1, -0.1, 0.05?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 200342683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes before 8:30 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 54 + -2 - (307 + -259).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d*(d**(-2)*d)\/d)**45\/(d**(-3\/7)\/d*d**(-5)*d)*(d**(-13)*d*(d\/d**15)\/d*d)**29 assuming d is positive.\nAnswer: d**(-5555\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -33*(-27)\/8019*-2?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 8*r + 13*r + r to k + q*r and give q.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 2027 divided by 10\nAnswer: 2027\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 581181 to the power of 1\/2, to the nearest integer?\nAnswer: 762","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3808?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -7*n**3 - 125*n**2 - 36*n + 17. What is the units digit of i(-19)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 3.414088 litres?\nAnswer: 3414.088","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 26 = 2*o - 0. Let s(q) = 3*q - 10. Let g be s(8). Suppose g*z = 10*z + 140. What is the remainder when z is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -20 - -30. Suppose 11 = d + t. Suppose s + 1 = -d, 4*s = x - 2. Put x, -3, 3 in descending order.\nAnswer: 3, -3, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) = u + 5. Let r be 0\/(-8) + 5 + 0. Let s = 5 + -14. Let n = s + r. Determine t(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*l**5\/7 + 1454*l**4\/7 - 20672*l**3 = 0. Calculate l.\nAnswer: 0, 119, 608","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -265*c + 127*c + 369*c + 223*c + 2270 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -4*n**3 + 2*n**3 + 0*n**3 + (3 - 2*n**2 - 3)*(2*n - 2*n - 2*n + (-3 + 3 + 3*n)*(0 - 1 + 2)) as g + z*n**3 + i*n**2 + c*n and give z.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*a + 3*a = 120. Let j(u) = 2*u - 10. Let d be j(7). Suppose -w = -4*t - a, d*w - 5*t - 32 - 9 = 0. Solve 9*i = o + 4*i + 3, w*o + 2*i = -12 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 41*u**3 - 14*u**3 + 72*u**3 + (-4 - 2*u**2 + 4)*(-3*u + 4*u - 2*u).\nAnswer: 101*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 3 or 103\/61?\nAnswer: 103\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -13 + 12. Suppose -3*g + 34 = 5*w, -2*g + w + 6 = 5. Which is the nearest to l? (a) g (b) -1\/10 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) be the third derivative of -3101*f**5\/60 - 877*f**4\/4 - 1765*f**2 - f. Find the second derivative of s(q) wrt q.\nAnswer: -6202","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 253609 is divided by 2669.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*g = -4*g. Sort 2, -4, 3, g in increasing order.\nAnswer: -4, g, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 39 + -39.4. Let f = 0.4 + 1.6. Let s = -11 - -6. Which is the third smallest value? (a) s (b) f (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -9.76108 and 4.\nAnswer: -39.04432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**(-18)\/w)**(-25) assuming w is positive.\nAnswer: w**475","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*r - 12 = 17*r. Let m = -12 + 17. Suppose 3*k + 1 = -m. Which is bigger: r or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 8\/2*(-1)\/(-5). Let t be 1 + (166\/(-180) - 6\/(-27)). Let d = r - t. Which is smaller: 2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -3811994, -3811996, -3812006, -3812030, -3812074, -3812144, -3812246?\n\"Answer: -v**3 + 2*v**2 - v - 3811994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 307201814?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 2, y: 2, o: 5, q: 3}. What is prob of sequence qoqr?\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22 = -5*b - 12. Solve b*d = -d + 4*r + 16, d - 2*r - 8 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = -6*f + 5*f. Let q(j) = j**3 + 19*j**2 + 4*j + 15. What is the hundreds digit of q(f)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -415007 = 180*c - 408887 for c.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 o and 1 j when three letters picked without replacement from joojoooojjomrjjjjrjo?\nAnswer: 21\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 191628358 divided by -1312523?\nAnswer: -146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 163\/810966 and 9\/814?\nAnswer: 8920626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -137, -274, -411, -548, -685, -822?\nAnswer: -959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 10494573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w**0\/(w**(-3)*w))\/((w\/(w**0*w)*w)\/w**(-3\/2)))**(-4\/19) assuming w is positive.\nAnswer: w**(2\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1648.46 - 1652.46. Let a = -0.05 - 4.95. Sort s, 6\/13, a.\nAnswer: a, s, 6\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38 a factor of 2678?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 92358.38 weeks in milliseconds?\nAnswer: 55858348224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum -28.894 and 167024991.\nAnswer: 167024962.106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i**4 - 140*i**3 - 732*i**2 - 1044*i = 0 for i.\nAnswer: -29, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84*v + 82*v = -64. Solve -v + 4 = -14*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 121556874?\nAnswer: 2, 3, 59, 343381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 47 is divided by (0 + (-4)\/(-10))\/(32\/1280)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of (44\/55*-5)\/((-42)\/(-22) + -2) and 66?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 - 18 = 2*y. Let u(x) = -x**2 - 11*x - 16. Let j be u(y). What is the greatest common divisor of j and 56?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/16325 and 42\/2487475?\nAnswer: 1624321175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -11 (base 12) in base 5?\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 150*s + 163*s + 29*s + 36*s + (4 + 2*s - 4)*(6 + 3 - 3).\nAnswer: 390*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*g - 4410 = -7*g. Suppose 126 = y + 2*t + 2*t, 2*t + g = 5*y. What are the prime factors of y?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) be the first derivative of c**7\/105 + c**6\/10 + 13*c**5\/30 + c**4 + 4*c**3\/3 - 3*c**2\/2 - 3. Let g(w) be the second derivative of n(w). Factor g(y).\nAnswer: 2*(y + 1)**2*(y + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 51864 by 8.\nAnswer: 6483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1 - (8 + -3 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 11*m**3 - 2*m**2 - 20*m**3 + 0*m - m + 11*m**3 in the form b*m**3 + c + o*m**2 + l*m and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = 70*p**2 + p - 1. Let k be f(1). Let r = k - 28. Let u = r - 24. Is u a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((sqrt(266) + -1*sqrt(266))\/sqrt(7) + sqrt(38) + sqrt(38))\/sqrt(2) + 3 + -3 + 3*sqrt(19) + (sqrt(209) - -1*sqrt(209))\/sqrt(11))*-2)**2.\nAnswer: 3724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3*k + 5*j + 15, 10060*j = -k + 10061*j + 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 269723?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 2, j: 3, s: 2, a: 4}. What is prob of picking 1 a, 1 j, and 2 x?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 38695*q*t - 6681*t wrt q.\nAnswer: 38695*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of 214762574?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round -808444 to the nearest 1000.\nAnswer: -808000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 518761 times -3?\nAnswer: -1556283","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - 6 = -2*h, 4*h - 36 = -s - 3*s. Let t(m) = m**2 - 7*m + 2. Let z be t(h). Calculate the highest common factor of 10 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-6)\/9*-3*(-2)\/(-10). Let l be (1 - 2) + 27\/33. Which is the smallest value? (a) m (b) -2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -1803 divided by -7\nAnswer: 1803\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 838b + 0?\nAnswer: 838b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(0 + sqrt(637) + 1 + 0 + sqrt(637) + -4) + -4*((sqrt(637) - (sqrt(637) + 1)**2) + 3 + 2*sqrt(637) + 2 + sqrt(637)).\nAnswer: -140*sqrt(13) + 2550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1, -60, -1, 4, 14 in descending order.\nAnswer: 14, 4, 1, -1, -5, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 59651.\nAnswer: 59651","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -2*u + 8. Suppose -56 = -0*a - 2*a. Suppose -o - u = -a. Calculate the least common multiple of o and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/6*(2 - (-1 - 0)). Let i be z\/14 + (-396)\/(-77). Find the second derivative of 15*r + 42*r - i*r**2 - 41*r wrt r.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three tenths of a decade in months?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -85539 + 1?\nAnswer: -85538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*a**2 - 904899678*a - 68236952270375307.\nAnswer: -3*(a + 150816613)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 10 by -1.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Does 203 divide 132415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = -231*r**2. Let s(u) = -115*u**2. Determine m(s(g)).\nAnswer: -3054975*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -33 - -300220400?\nAnswer: 300220312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9 = 3*y, 3*t - 3*y = 7*t - 21. Let v(o) = 5 - 4 - t*o**2 + 2*o**2 - o. Determine v(2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -5*h**2*l**3*y**3 - 793244*h**2*l**3*y - 4*h**2*l*y**3 + 1165*h**2*y - 4*h*y + 4*l**2*y**2 wrt l.\nAnswer: -30*h**2*y**3 - 4759464*h**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 0.8716203mg in tonnes?\nAnswer: 0.0000000008716203","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c + 14. Suppose s - b = -6*b - 18, 3 = -s - 2*b. Suppose 2*r - s*r = 0. What is t(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -229*i - 530 = -7*i + 4576 for i.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = w**2 - 2. Let f(b) = -b - 1. Let s(m) = f(m) - y(m). Suppose 0 = -4*a - l + 6, -5*a + 0*l + 3*l - 1 = 0. Calculate s(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 7999*q**3*y - 27*q**3 - q**2*y - q**2 + 50*q*y - 303*q - 109*y wrt q.\nAnswer: 47994*q*y - 162*q - 2*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -61*w**2 - 62*w - 6. Let r(v) = -121*v**2 - 125*v - 13. Let y(h) = -13*q(h) + 6*r(h). Find the second derivative of y(j) wrt j.\nAnswer: 134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -0.06 equal to -510254?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -79, -15, 83, 209, 357, 521?\n\"Answer: -i**3 + 23*i**2 + 2*i - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -o - 2 = -4*d, d - 5*o + 332 - 163 = 80*o for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -16? (a) 2\/11 (b) 10 (c) -229\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(3\/10)\/f*f\/(f\/(f**(-6\/11)\/f)))**0 assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1693 + 1693.4. Which is the closest to 0.3? (a) -5 (b) -4 (c) h (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the second derivative of -1\/40*d**5 + 0 - 15\/2*d**2 - 3\/4*d**4 - 47\/12*d**3 + 126*d. Find q, given that t(q) = 0.\nAnswer: -15, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 6\/11, -22, 0?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k be 0 - 2 - 0 - (-1 + -1). Does 2\/135 = k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -12, -20, 3, 2, 4 in descending order.\nAnswer: 4, 3, 2, -1, -12, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 2241922 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 69504770?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90 - 30 = -5*b - 5*y, b = -3*y + 16. Calculate the greatest common factor of 7 and b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = 10 - 4*s**2 - 9*s**2 - 2*s + 13*s**3 - 12*s**3. Let n be d(13). Are -15 and n unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 225924763?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 28151636.\nAnswer: 2, 7037909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -329 = 2*a + 349. Let b = 807 + a. What is the units digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2524754 is divided by 194211?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert -10111 (base 3) to base 8.\nAnswer: -136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z**3 + 115858*z**2 + 695121*z + 1042668 = 0. What is z?\nAnswer: -115852, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 314 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-5*y + 3*y + 4*y)*(3*y - 5*y + 0*y) - 177927 + 1206*y**2 + 177927 to g + t*y**2 + u*y and give t.\nAnswer: 1202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = -g**2 + 11*g + 6. Let u be m(6). Let p be (54\/u)\/(3\/10). Suppose p*q + 1925 - 425 = 0. What is q rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -12513 = -85*d + 417*d - 3549 for d.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v = -45 + -104. Sort v, -1, 0.3.\nAnswer: v, -1, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 187072 and 2133?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(g) = 3*g + 29. Let j be y(-8). Let k(z) = -5*z - 6. Let p(w) = 5*w + 7. Let u(t) = 7*k(t) + 6*p(t). Let h be u(j). Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth root of 7180 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z**3\/11 + 12*z**2\/11 - 2*z + 12\/11 = 0. What is z?\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 2275 and 65.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -270 = 11*z + 1226. Let c = 57 - z. What are the prime factors of c?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(i) = i**3 - i**2 + 1. Let f be b(-3). Which is bigger: -26 or f?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from exxqghqeqqhsshx. Give prob of picking 1 h, 2 x, and 1 e.\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 456878 is divided by 80.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 230858096 a multiple of 247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -3*p**3 - 2*p**2 - p - 1. Let t(q) = q**2 - 2. Let u be t(0). What is the tens digit of f(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*k + 13 = 3*d, 2*d - 3 = -1. Suppose k*y + y - 3 = 0. Calculate the remainder when 2 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -12467525 by -27.\nAnswer: 12467525\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 + -1 - 0 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2286*w**2 - 3441*w**2 + 5148*w**2.\nAnswer: -579*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-32)\/(-704)*32\/8.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 532 and 140?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -47\/12 and -37\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -31103 or -31048?\nAnswer: -31048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -155373*w. Let q(t) = -9*t**2. Determine q(y(p)).\nAnswer: -217266922161*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k**3\/2 + 3627*k**2\/4 - 75141*k\/4 - 19239\/2 = 0. Calculate k.\nAnswer: -1\/2, 22, 583","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*v - 2*t - 15, -v - t + 3 - 7 = 0. Let r = -9731 - -9728. Put 12, v, r in decreasing order.\nAnswer: 12, r, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.3 in 32, -71.8, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 196*n**4*u**2 + 129835*n**3*u**3 - 25918*n**2*u**2 + 711*n*u**3 wrt n?\nAnswer: 4704*n*u**2 + 779010*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 41205?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let f = 23\/15 - 6\/5. Let x = 1\/43 + -113\/1161. Find the common denominator of x and f.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*q + q. Let v be (0 - -3) + 5\/q. Factor 0*n + v*n**2 + 1\/2*n**4 - n**3 + 0.\nAnswer: n**2*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -20*w**2. Let i be (0\/(-12))\/(4 - 5). Suppose 4*j - 2 = -2*c - 6, -5*j - 7 = 2*c. Let g(n) = 9*n - 3*n + i*n - c*n. Give g(q(s)).\nAnswer: -40*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -1172025*m**2 + 386394*m.\nAnswer: -2344050","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 852\/(-2485)*-35*(-14)\/(-32)\nAnswer: 21\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.2 in 1\/8, 11, -2.3, 0.0112, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97*l + 312810 = 16863. What are the prime factors of l?\nAnswer: 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -0*n - n. Let b(j) = 8*j**3 - j**2 + 26*j - 57. Let g be b(2). Calculate the highest common divisor of g and n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -151999772 or -151999771?\nAnswer: -151999771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7)\/4*18\/63.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2 + -3.7. Which is greater: o or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 58 by -480294.\nAnswer: -29\/240147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 355364.\nAnswer: 2, 73, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the third derivative of -l**4\/12 - 4*l**3 + l**2 - 27. Let c be k(-13). Solve -n - c*w = 3*n + 12, -5*w + 6 = n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4*(sqrt(4)\/sqrt(2)*4*4 + 2)**2 - ((sqrt(2) - sqrt(4)\/sqrt(2))*5 + sqrt(2)*1*-4 + sqrt(100)\/sqrt(2) + 5)**2.\nAnswer: -2091 - 266*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) be the first derivative of 10*y**3\/3 - 639. Let r(m) = 35*m. Let h(q) = -q. Let z(x) = -30*h(x) - r(x). Calculate z(w(a)).\nAnswer: -50*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 27\/4 of a year?\nAnswer: 81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 3*k**2 - 12*k - 1. Let z(p) be the second derivative of 7*p**4\/12 - 25*p**3\/6 - p**2\/2 - p. Let x(j) = -9*g(j) + 4*z(j). What is x(-5)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -2 - q**2 + q - q**2 - 1 - q**3 - 1. Let g be o(-4). Suppose -4*j + 126 + 642 = 0. What is the greatest common divisor of j and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-424)\/56 + 7)\/((-4)\/(-14))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b(l) = l**3 - 16*l**2 + 18*l - 16. What is b(15)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 1053 - 113 = -2*o, 0 = 2*s + 4*o - 574. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2648587 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = -2*s + 56. Suppose 0 = -167*b + 15*b + 8360. What is the remainder when b is divided by s?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -1 (b) 1 (c) 14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 29, 46, 73, 110?\n\"Answer: 5*l**2 + 2*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 656 minus 1651650?\nAnswer: -1650994","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 2516.973943 to 0 decimal places.\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 4 + 9*a + 16*a + 8*a - 5*a as t*a + f and give t.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 7\/8 of a hour?\nAnswer: 3150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 83865 to the power of 1\/2, to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = -47*y**2. Let n(g) be the second derivative of -g**4\/6 + 10*g. Calculate h(n(i)).\nAnswer: -188*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 93 in 5, -301, 5\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 1699600 divided by 24280?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u(n) be the third derivative of -n**5\/60 + n**4\/12 + n**3\/6 + 7*n**2. Let g(f) = -f**2 + 4*f + 3. Let m be g(4). Give u(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -165.1995+0.2\nAnswer: -164.9995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + 2)*((2 - 2 - 1)*(2 - 2 + 1) - 3 + 1 + 0)*(-n + 6*n + 4*n).\nAnswer: -54*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 6294 by 2100.\nAnswer: 1049\/350","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a - 11. Let n be w(-9). Let d = n + 31. Suppose 0 = -36*r + 41*r - 20. What is the remainder when d is divided by r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 3*n = 248. Let r = n + -170. Let f = -11 + 17. What is the smallest common multiple of f and r?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000005527881197 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8589.7 - 11006. What is n rounded to the nearest ten?\nAnswer: -2420","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*b + 9 = 6*b. Let w(f) = 3*f**2 + 2*f - 2. Let l be w(-2). Suppose -4*g + 2*o + 72 = l*o, -15 = -3*o. Solve u - z + b = 0, 3*u + 2*z - 3 = g for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*f = 1 - 11. Calculate the remainder when 14 is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*o + 491 = 3*l, 3*l - 22 = -5*o - 656. What is the common denominator of o\/(-110) - -1 - -2 and -37\/4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 43*x - 34. Let s(m) = -85*m + 69. Let v(a) = 13*j(a) + 6*s(a). What is the hundreds digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -p + 18. Let l be j(13). Let h(r) = 7*r**2 - r**3 + 3 - r - 2 - l - 3. What is the remainder when h(5) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:18 AM and 3:59 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -3\/2 in 5, -2.6, 2\/19, 121, -4, 0.5?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*z - 2*h + 65 - 59 = 0, 5*z - 14 = -2*h for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c = -5866 + 6496. What is the greatest common factor of 495 and c?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 3 divide 4970?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 2 times -739?\nAnswer: -1478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 64555 is divided by 16063.\nAnswer: 303","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1\/1)\/21352*-253547. Let s = -1\/2669 + x. Find the common denominator of s and 3\/2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 41*s**2 + 4*s - 98. Let r(q) = 103*q**2 + 10*q - 195. Give -10*i(o) + 4*r(o).\nAnswer: 2*o**2 + 200","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/3, -1\/31, 0.3, 0.13?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0 divided by -10664?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 3141113 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose x = -3 - 2. Let m be 2*x\/((-20)\/76). Calculate the highest common factor of m and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ayh when three letters picked without replacement from yhyhaahyyaxhm.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 255 and 1224.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Convert -1131 (base 4) to base 14.\nAnswer: -69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 8107 divided by -1928?\nAnswer: -8107\/1928","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 62971 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be (4\/10)\/((-1)\/5). Let y(u) = u**2 - 286*u + 20524. Let h be y(141). Put h, -3, d in decreasing order.\nAnswer: h, d, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 167 divide 6381720958?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 o, 1 d, and 1 x when three letters picked without replacement from dknkdoxdgdkkgn?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -p**3 + p**2 - p - 8. What is g(0)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Determine s so that -2*s**4\/7 + 26*s**3\/7 - 58*s**2\/7 - 26*s\/7 + 60\/7 = 0.\nAnswer: -1, 1, 3, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (170 + 722 + 6581 + 4612)*(3 - m - 3)*(4*m + 0*m - 3*m + (m + 0*m + m)*(2 + 2 - 3)).\nAnswer: -36255*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -78*j + 80*j, 0 = -i - 3*j + 16. Solve 0 = -2*v - 2*o - 10, 0 = -i*v - 2*o - 3 - 7 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:37 AM and 7:59 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 36856377 to the power of 1\/4, to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h - w = -41 + 17, 2*w + 8 = 4*h. Suppose h*j - 16 = x - 3*x, x = 0. Suppose -n - 4*k + 63 = 0, k - 4*k = -j*n + 271. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = 36573*b + 1426321. What is l(-39)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 906, 1090, 1274?\n\"Answer: 184*n + 722","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -392 = -8*w + 3*w + 4*u, -4*w + 319 = -5*u. Suppose -2*j + t = -194 - w, 4*t - 270 = -2*j. Is 15 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j**(-1))**(-35)\/((j*j*j**(-1\/2))\/(j**(2\/15)\/j)) assuming j is positive.\nAnswer: j**(-71\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 28, -3, 2\/13, -106?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((b**22\/b)\/b*b*b**11)\/(b\/(b*(b**(-3\/10)*b)\/b))**5)**(2\/23) assuming b is positive.\nAnswer: b**(61\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 11*y + 2*v = 95, -4*v + 120 = 4*y. Solve 4*q - 43 = -y for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-3753*u + 3753*u + 454*u**2 + u**2 + u**2 + 0*u**2 + (-2 - u + 2)*(u - u + u))*(-u + 3*u - 3*u) to o*u**3 + a*u**2 + m*u + x and give o.\nAnswer: -455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-4)\/14 - (-132)\/315. Let s = 30\/143 + -372\/5863. Let n = s + 99\/164. Which is the closest to -0.1? (a) -3\/4 (b) n (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 7376 and 156?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -10411693.73 rounded to the nearest one hundred thousand?\nAnswer: -10400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b = -25 - -21. Let o = b - -9. What is the closest to 2 in o, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 20141 and 1981142?\nAnswer: 21792562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23 is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b + 5*s - 1936 = 0, -9*s + 2429 = 5*b - 5*s. What are the prime factors of b?\nAnswer: 3, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: (-34)\/34*7*4\/24*-2\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -0.37 <= -374?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_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: What is 900 + -901 - ((-436)\/22 - 12\/66)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -133 + 158. Calculate the smallest common multiple of 4 and h.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000065329 to 7 dps.\nAnswer: 0.0000065","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -944648*m**2 + 10 - 944664*m**2 + 1889300*m**2.\nAnswer: -12*m**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**3 + 28*z**2 - 57*z - 47. What is h(26)?\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = -11*b + 2. Suppose -4*i + 2*i = 0. Let z = i - 2. Does 12 divide g(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 569801834 and 1?\nAnswer: 569801834","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 2, 0, -158 in ascending order.\nAnswer: -158, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 y when two letters picked without replacement from {y: 6, b: 2, e: 4, p: 3, k: 3}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 1, s: 3, x: 4, i: 2, y: 1, d: 1}. Give prob of picking 1 y, 1 d, and 1 e.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kfko when four letters picked without replacement from {o: 9, f: 4, z: 1, k: 1, g: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.05? (a) -5 (b) -4 (c) 3\/2 (d) 0.162\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*z + 18 = -4*f + 4, 4*z = -5*f - 22 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -30*i - 10*i - 120. Put i, 2, -179 in ascending order.\nAnswer: -179, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -113 - -112. Let s(d) = -3*d**2 - 4*d**2 + 2*d - d**2 - d + 1. Let i be s(h). Let c(r) = r**2 + 9*r + 10. Determine c(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2*d**2 + 0 + 0 + (d + 0*d + 0*d)*(-d + 2*d - 2*d) - d + d + 2*d**2 - 24*d + 59*d - 30*d - 2 - 4*d**2 as x + w*d**2 + c*d and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-12)\/(-40))\/((-2)\/(-2)*(-162)\/(-216))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -63*w - 2050 = -6964. What is the remainder when w is divided by ((-5)\/4)\/(1\/(-16))?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -17227 > -17230?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j be 16\/(-3) + (14 - 117\/13). Let f = -0.02 + 0.42. Which is the nearest to -1\/6? (a) 1\/2 (b) f (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (o - o - 2*o**4)*(-344443 + 20805*o + 103141*o - 27455*o + 344443).\nAnswer: -192982*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2480 - 6027.910361\nAnswer: -8507.910361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1 - (0 - (-1 + 2)). Suppose -6 = 5*l - 11, 3*w + 10 = l. Which is the fourth smallest value? (a) -0.2 (b) w (c) -2\/7 (d) x\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(6\/13)*x**2)\/(x**(-15)\/x**(-1\/21)) assuming x is positive.\nAnswer: x**(4754\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 759 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -45 = -2*a + 5. Suppose 6*k = 3*k - 33. Let b = k - -18. Calculate the remainder when a is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -324, -7, -4, 73 in decreasing order.\nAnswer: 73, -4, -7, -324","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -1045 - -5?\nAnswer: -1040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from {z: 7, r: 7}.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/27*(-23)\/(-621)*-18?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = y + 9. Let s be u(-5). Let i = s - -10. Suppose n + 7 = -5*w, -n + 2*w + i = -0*w. Calculate the highest common divisor of 8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2481073578.\nAnswer: 2, 3, 15315269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(y) = y - 1. Let q be a(-3). Let z be (6\/q)\/((-1)\/10). Solve -5*d = -0*d + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -32712 - -1?\nAnswer: -32711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*sqrt(1375))\/sqrt(11) + (-4 + sqrt(5)*2 - (sqrt(5) + sqrt(5) + -1)*-4))**2.\nAnswer: -320*sqrt(5) + 2064","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l - 2*k + 170, -4*k + 76 = l + 16. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*b**2 + 6*b - 6*b)*(1 + 2*b - 1) - 2*b**3 + 5*b**3 - b - 2*b**3.\nAnswer: -5*b**3 - b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -100 - -101. Let b(c) = 4*c**2 - 2*c + 1. What is the smallest common multiple of b(o) and 8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(m) = 40*m**3 - 11*m**2 + 11. Let f(o) = 13*o**3 - 4*o**2 + 4. Let l(p) = -p**3 + 7*p**2 + 24*p + 56. Let s be l(10). Calculate s*a(j) + 11*f(j).\nAnswer: -17*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n be (950\/30 - -1)\/((-1)\/48). Let l = 4081 + n. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-2)\/4*(-320)\/(-2400))\/(4\/(-10)).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 827*z + 2423 - 1237 - 1186.\nAnswer: 827*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -855 (base 14) in base 13?\nAnswer: -995","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = -t - 3. Let j = -161 - -164. Let f(v) = -v - 3. Calculate j*f(p) - 4*y(p).\nAnswer: p + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 12*h**2 - 21*h**4 - 13*h**2 + 4*h**2 + 3 - 4 to p*h + y*h**2 + t*h**4 + m + d*h**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 599\/85 + 165\/34. What is the common denominator of u and (-458)\/112 + (-6)\/21?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = -3*d**2 - 28*d - 61. Let a be n(-6). What is the closest to -0.1 in a, -2, -10, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v**4 + 0*v**4 + 0*v**4 + (-4*v + 4*v + v)*(-1 - v**3 + 1) + (3*v + 2*v - 3*v)*(-6*v**3 - 9*v**3 + 2*v**3).\nAnswer: -25*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 147190 - 177409 = 54*y - 532851. List the prime factors of y.\nAnswer: 2, 13, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -262 + 206. Calculate the remainder when 159 is divided by (512\/z)\/((-8)\/28).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**3 + 29*f**2 - 206*f + 4. What is o(13)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2010460339?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00384071 rounded to 4 decimal places?\nAnswer: -0.0038","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*g**3 - 15 + 50 - 17 - 9 + 44*g**2.\nAnswer: -3*g**3 + 44*g**2 + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 4*w. Suppose 447 + 381 = 12*s. Let j(h) = -s*h - 70*h + 140*h. Give j(z(o)).\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 63 a factor of 22400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = 16 + -22. Let a = t - -8. Suppose 4*g - 100 = -4*z, -a*z + 6*z - 2*g - 106 = 0. Find the common denominator of 18 and z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/16, 5, -0.5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0 or -36870?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 11398, 11193, 10852, 10375, 9762, 9013, 8128?\nAnswer: 7107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*d - d - d + (3 - 1 + 0)*(4*d - d - 4*d) + 11 + 7*d - 11 + 2*d + 4*d - 4*d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d be -3 + -6 + (1 - -2). Let q(v) = 5*v**2 - 7*v - 5. Let g(w) = -2*w**2 + 2*w + 2. Let y(n) = -8*g(n) - 3*q(n). What is the units digit of y(d)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*l - 310232 = -15*l - 23*l. What is the units digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15 = u - 2*u. Let c = u - -33. 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 c = 7 - 3. Suppose -c*a + 12 = 0, 0*a + 4*a = 3*x. What is the derivative of 3 - 5*r - x*r + 12*r wrt r?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*a - 2*s + 0*s + 14 = 0, 0 = -4*s + 8. Let x be -1 + 1*(-39)\/3. Let j = 26 - x. Calculate the greatest common factor of a and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 135641863 and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -23 = 2*b - 9. Is (-282340)\/(-140) - 1\/b*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-253486)\/(-42) - (-1)\/(-6). Let s = p - 6042. Let l = -9550 + 152747\/16. Find the common denominator of l and s.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -224*u**2 + 136*u**2 + 184*u**2.\nAnswer: 96*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -9161, -9276, -9413, -9572, -9753, -9956?\n\"Answer: -11*x**2 - 82*x - 9068","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {n: 2, f: 5, y: 6, q: 2, g: 3}. What is prob of sequence fg?\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 12045730 (base 8) in base 9?\nAnswer: 4864514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4 + d - 4 + (-7 - 4 + 4)*(1 - 1 + d))*(-25 - 5*d**2 + 25) + (-3*d + 5*d + 0*d)*(-2 + 2*d**2 + 2).\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Sort -10, 1, -104999, 2 in increasing order.\nAnswer: -104999, -10, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -488*d - 191 - 785 = 0 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17559954?\nAnswer: 2, 3, 975553","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-119)\/1382542*-157)\/(((-27)\/(-30))\/(12\/10))?\nAnswer: 2\/111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -129*f + 502 + 143 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 867593 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**4 - 252*o**3 + 244*o**2 + 252*o - 248.\nAnswer: 4*(o - 62)*(o - 1)**2*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 4*f + 4 = -2, -2 = -4*o + f. Let h be (o\/(-1))\/((-21)\/(-9)). Which is greater: h or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that 3*y**3 + 12600*y**2 - 303696*y + 1824768 = 0.\nAnswer: -4224, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 6402474 is divided by 711384.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -472 = -6*v + 2*v. Let u = v - 102. What is the greatest common divisor of u and 144?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5930 divided by 1186?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*j**2 - 46*j**2 + 43*j**2 - 231*j**2)*(43 - 65 + 42).\nAnswer: -4740*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -7*d**3*k - 3*d**3 - 2*d**2*k + 4448*d**2 - 179047*d*k - d + 8*k + 1 wrt d?\nAnswer: -42*d*k - 18*d - 4*k + 8896","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f**5 + 48380*f**4 - 48375*f**3 = 0. What is f?\nAnswer: 0, 1, 9675","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 17283500 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -4, 3, 137, 5, -6 in decreasing order.\nAnswer: 137, 5, 3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-49)\/(13328\/1020)*12\/50.\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -58160 or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} {"text":"Question: Let w be (3 - 0)\/(1\/(-2)). Let b = w - -17. Is b a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32441756521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -10*y**3 + y**2 + 2*y + 1. Let n be u(-1). Suppose 4*v - n - 2 = 0. What is the derivative of -v*g - 11 + 4*g + 2*g + 0*g wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 104.61 (b) -4 (c) -8 (d) 20\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 632, 1288, 1944, 2600?\n\"Answer: 656*d - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (1767\/(-247) + 7)\/((-138)\/(-207))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Put 6, -12, 2, -4 in descending order.\nAnswer: 6, 2, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 365975 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4.13*0.85112.\nAnswer: 3.5151256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 1340 + 146356?\nAnswer: 151026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -213 (base 6) in base 11?\nAnswer: -74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 114112 (base 6) to base 11\nAnswer: 7553","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(21) + (sqrt(3024) - (sqrt(3024)*-4 - sqrt(3024))))\/(sqrt(3)*2*-3).\nAnswer: -73*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1314 = -13*i + 402. Is 33 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12279699.\nAnswer: 3, 1103, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c be 4\/(4\/(-8) - (-70)\/60). Suppose -22*l + c = -19*l, 4*l - 2597 = -u. Is u prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-1)\/(-5) + (-1749)\/(-5) + -3. Suppose 11*b - 214 = h. What is the highest common divisor of 357 and b?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:34 AM and 1:34 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 432*q + 13*q - 17 - 79 - 20 wrt q?\nAnswer: 445","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3005588*r**4 + 2021470*r**2.\nAnswer: -72134112*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = 2*u - 2. Let v be y(6). Suppose -2*s + v = -6*f + 4*f, 0 = -5*f - s - 13. Does f = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the first derivative of -r**3 - 2127. Let i(v) = 8*v + 2. Let d(y) = 31*y + 9. Let b(a) = -2*d(a) + 9*i(a). Determine f(b(h)).\nAnswer: -300*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let d = 7446 + -7439.158. Round d to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2296860*l**3 - 2*l**2 + 396614 wrt l.\nAnswer: 13781160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 6 = 4*s. Let g(a) be the first derivative of a**2\/2 + 11*a + 27. List the prime factors of g(s).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - -15. Calculate the highest common factor of d and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u - 28 = -4*z, 5*z + 5*u - 24 = 46. Let t(i) = z + 2*i - i + 7*i + i**2. Let p be t(-7). Solve 0 = 4*f + 2*m + 10, 2*f + 15 = p*m - 6*m for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1016)\/(-50165)*15\/(-12)?\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 784257 to the power of 1\/2, to the nearest integer?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 360.8 - 361. Which is the third biggest value? (a) -7\/3 (b) 1\/5 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2.808008 milligrams in kilograms?\nAnswer: 0.000002808008","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4268 is divided by 301.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2\/81? (a) -0.23 (b) -5 (c) 2\/5 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*i = -i + 119. Suppose 3 = 2*n - a - i, 5*n - 5*a - 45 = 0. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:59 AM and 3:04 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(70)\/sqrt(5)*5 - -3*(sqrt(70)\/sqrt(5) + sqrt(14)))\/(2*(sqrt(200) + -1*sqrt(200) + sqrt(200) + sqrt(200) + sqrt(2) - (sqrt(18)\/sqrt(3))\/sqrt(3))).\nAnswer: 11*sqrt(7)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -5*n + 758. Let b(x) = -9682 + 2*x + 4830 + 4852. Calculate y(b(r)).\nAnswer: -10*r + 758","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Divide -286 by 22.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 71\/4 and -29\/861?\nAnswer: 3444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -640e + 2?\nAnswer: -640c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -126 times -4106\nAnswer: 517356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -4*-50.43442\nAnswer: 201.73768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*o**5 + 239*o**4 + 5*o**3 - 336049*o**2?\nAnswer: 120*o**2 + 5736*o + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 12 and 2083908.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = c**3 - 6*c**2 - 7*c. Suppose 3*u - d = 19, -7 = -4*u + 5*d + 11. Calculate r(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2 - 1 - -25 - (-731 + 685)?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -353033405 divided by 5?\nAnswer: -70606681","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) = h**3 + 2*h**2 + 2*h - 3. Let k be j(1). Suppose 1582 = k*b + 5*b. What are the prime factors of b?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = 2*p**4 - 5*p**3 - p**2 - p. Let b(z) = -530*z**4 + 10*z**3 + 4*z**2 - 942*z. Let w(g) = -b(g) - 3*x(g). Find the third derivative of w(v) wrt v.\nAnswer: 12576*v + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: (-5153 - -5154)\/((-2)\/124 - 0)\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*b - 2 = -k + 2, 3*k = 0. Is b\/(((-42)\/11851)\/(-6)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*k - 38*k - 48*k)*(-2 - 4 - 8) + (3 + 2 - 4)*(1 - k - 1) + k + 3*k - 2*k.\nAnswer: 1121*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 3364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1200 - 122?\nAnswer: -2022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vtv when three letters picked without replacement from {t: 5, v: 9, k: 3, q: 2}.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*i = 2*s + 179, 4*i + 119 + 117 = -2*s. Suppose -f = -2*f + 4*p + 97, -p - 466 = -5*f. Let t = f + i. Does 12 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = -83*b + 26. Suppose 429 - 1510 = -23*i. Calculate the remainder when a(-3) is divided by i.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -27 - -15. Calculate the remainder when 94 is divided by 4\/i + 146\/6.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v**2 - 11*v + 10 = 0 for v.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 0.1 or -16534?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = 48*t + 2. Let h be p(1). Calculate the highest common factor of 10 and h.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - l - 1802 = 0, -39*q = -44*q + 4*l + 4499. What is the greatest common factor of q and 86?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1372 divided by -49?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4013?\nAnswer: 4013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.02 and 14.06.\nAnswer: -0.2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Express -5*t**2 + 5 + 28 + 4*t**2 + 21 as n + z*t**2 + f*t and give z.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3861*c*w**6 + 2*c + 724*w**2 wrt w?\nAnswer: -463320*c*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -27*s**4 + 2*s**3 + 99 with respect to s.\nAnswer: -108*s**3 + 6*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -3 = -123*g - 3 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*h**4 - 12*h**3 - 92*h**2 - 132*h - 56.\nAnswer: 4*(h - 7)*(h + 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3 + sqrt(85)\/(sqrt(5) - (sqrt(5) + sqrt(5)*-3 - sqrt(5))))*-4 - (sqrt(1377) + -4 - -4*sqrt(612)))**2.\nAnswer: 544*sqrt(17) + 19716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -69*a**2*z**5 - 150*a**2 + 259*a*z - 51*z**5 wrt z.\nAnswer: -1380*a**2*z**3 - 1020*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(612)\/(sqrt(36)\/sqrt(3)) - (sqrt(51)*2*-3 - sqrt(51) - sqrt(51)))\/(((sqrt(3) - -4*2*sqrt(3) - sqrt(3)) + sqrt(3) - sqrt(3) - sqrt(3))*-5).\nAnswer: -9*sqrt(17)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, u: 2}. What is prob of picking 1 z and 1 u?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0\/(33 + -28))\/(-5 - -1). Let g be -2 - 37\/19*-1. Is o <= g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -31, 5, 12, -18, -2, 2 in ascending order.\nAnswer: -31, -18, -2, 2, 5, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Round 35039887.1 to the nearest one thousand.\nAnswer: 35040000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -4 - 1 - (4 + -6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3525603049?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 469322279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (((1 + sqrt(832))*-5)**2 + sqrt(832) - sqrt(832)).\nAnswer: 400*sqrt(13) + 20824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 62707221532 - -0.02?\nAnswer: 62707221532.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -74*m + 527 = -1291 - 5582 for m.\nAnswer: 100","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - 289?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = w**2 - 633*w + 6841. What is o(11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d be (12\/8)\/((-3)\/32). Let o be (8\/d)\/(2\/4). Let k be (-3)\/(-1) + 0 + o. Solve 3*u - 10 = 5*a - 35, -k*u = -a + 12 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(t) = -t**2 - 20*t + 130. Let v be q(-25). Let z be (15\/3)\/v + 60. Sort 1, z, 4 in decreasing order.\nAnswer: z, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -805282411, -1610564824, -2415847237, -3221129650, -4026412063?\n\"Answer: -805282413*d + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: 18\/(-3)*((-4)\/20)\/((-54)\/495)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 240 minutes after 8:18 PM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 539089379 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = -r**2 - 27*r - 21. Let y be t(-27). Which is bigger: -4 or y?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 39406 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.615 in -880, -0.3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-1)\/7*-7)\/((-1)\/3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 257 and 0.06?\nAnswer: 15.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((m**(2\/77)*m*m)\/m)\/(m\/m**(-3\/4)))**(-7\/5) assuming m is positive.\nAnswer: m**(223\/220)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x**3\/5 - 5*x**2 + 123*x\/5 - 171\/5 = 0. What is x?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is -40 (base 8) in base 11?\nAnswer: -2a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find v such that 0*v - 148*v + 21*v**3 + 15*v**3 - 144*v**2 - 32*v**3 = 0.\nAnswer: -1, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(t) = 4*t**2 + 0 - 9*t + 9 - 5*t**2 - 4. Let u(p) = -5*p + 3. Calculate 4*c(l) - 7*u(l).\nAnswer: -4*l**2 - l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*z**3\/7 - 1192*z**2\/7 - 2400*z\/7.\nAnswer: 4*z*(z - 300)*(z + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve 39 - 3 = -9*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 28*p**5\/9 - 334*p**4\/9 + 496*p**3\/3 - 324*p**2 + 228*p + 18 = 0.\nAnswer: -1\/14, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 60? (a) 1\/6 (b) 3.4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.16 - -0.04. What is the smallest value in s, 1\/4, 2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*h**2\/13 - 8636*h\/13 - 17280\/13 = 0.\nAnswer: -2, 4320","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r + 14*r + 10*r = 0. Solve r = -5*g - 5*j - 25, -3*j - 17 = 5*g - 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -g = -2 + 1. Solve g = -z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 111\/14 and -59\/18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 19*q**4 + 22*q**3 + 17*q**2 - 72*q + 55726858?\nAnswer: 76*q**3 + 66*q**2 + 34*q - 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -20 = a + 4*h, -5*h - 2886795 + 2886770 = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) be the second derivative of 101*u**6\/30 + 23*u**2\/2 + 118*u. What is the first derivative of m(d) wrt d?\nAnswer: 404*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 10 + 3 + (-2 - 0) + -10 - 34\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 13\/(65\/30)*26\/(-26)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 2\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -32 divided by -450384\nAnswer: 2\/28149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qqpq when four letters picked without replacement from qpqqpqqpqq?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 17c511 - 3?\nAnswer: 17c50d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be (1\/1 - 5\/(-2))*2. Is b >= 11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -1 + -1. Let o = n + -2. Let v(p) = -p**2 - 3*p. Let r(s) be the third derivative of -s**5\/20 - s**4\/3 - s**2. Calculate o*r(h) + 11*v(h).\nAnswer: h**2 - h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: (-9 - (2 + -7)) + 0\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c = 29 + 11. What is the remainder when c is divided by ((-8)\/20)\/(4\/(-140))?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 8 - 6. Suppose n - 2*n = -4*m + 21, 2*m + 4*n = 6. Suppose -19*w + 17*w + 8 = 0. Solve -m*f + 3 = 4*k, a*k = -w*f + k + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 7*j + 10*j - 24*j + (j - j - 2*j)*(-2 + 3 - 2).\nAnswer: -5*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h = -3*b - 906 - 825, -4322 = -5*h + 2*b. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 90347445?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Divide 1050504 by 962.\nAnswer: 1092","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 8*o**3 - o**2 + o. Let x be f(1). Let l = x + -7. What is the lowest common multiple of l and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3*k**2*l**2 + 3*k**2*x + k**2 - 10*k*x + 2*l**3*x - 26*l**3 - 2*x wrt l.\nAnswer: -6*k**2*l + 6*l**2*x - 78*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 418778226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 8 + -1 + 13 + -17 - 0\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + -4 + sqrt(76) + (-1 + sqrt(76) - sqrt(76))**2.\nAnswer: -3 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 874 - 762. Let k(q) = -q**2 + 8*q + 6. Let p be k(9). Let m be 57\/4 + p\/12. Calculate the highest common factor of r and m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1124193 to the nearest integer?\nAnswer: 1060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31*(-14*(-3)\/(-12) - -4) and 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 113*m - 6. Is d(45) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) = -16*f**3 - 2*f**2 + f**2 + 11*f**3. What is n(1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -49803, -99509, -149215, -198921, -248627, -298333?\n\"Answer: -49706*o - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -152378 + 150?\nAnswer: -152228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = -t + 15089, -t + 4*i = -2009 - 13080. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(f) = -f**3 - 2*f - 2*f**3 + 0*f**3 + 1 - 3. Let t(m) = -7*m**3 - 5*m - 5. Give -10*r(k) + 4*t(k).\nAnswer: 2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:32 AM and 5:32 PM?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence an when two letters picked without replacement from {n: 3, a: 2, e: 8, v: 4}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 354933.\nAnswer: 3, 113, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 4*p + s = -11355, 0 = -4*p - 5*s - 15140. Let l = p + 5758. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 51100 and 34122025?\nAnswer: 136488100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) be the first derivative of c**2\/2 + 2*c - 1. Let s be w(-2). Solve s*g + 30 = 2*g - 4*d, -2*g = d - 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = 174*i**4 - 3*i**3 + 106. Let q(t) = 1043*t**4 - 19*t**3 + 637. Let g(l) = 38*c(l) - 6*q(l). What is the derivative of g(v) wrt v?\nAnswer: 1416*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 172 - 422 = -10*l. Suppose l*y = 20*y + 5. Let j = 0.1 + -0.1. Which is the closest to 0.2? (a) j (b) -2 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2958 - -3143. Let b = u + -73277\/12. What is the common denominator of 151\/66 and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 197 minutes after 8:28 AM?\nAnswer: 11:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -2\/17, -0.2, 3, -5\/8, -3\/7?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -377079, -747981, -1118897, -1489833, -1860795, -2231789?\n\"Answer: -q**3 - q**2 - 370892*q - 6185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x(f) = -f**2 + 23*f - 85. Calculate the remainder when x(18) is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 206332 is divided by 54.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 3799144440 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = -2*p + 2. Let z(i) = i**3 - 34*i**2 - 37*i + 77. Let y be (70\/4)\/(((-28)\/(-14))\/4). Calculate the least common multiple of g(-5) and z(y).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00059663005 rounded to six decimal places?\nAnswer: -0.000597","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -957 - -1006. What is the remainder when 85 is divided by o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 15411784?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4\/5 + 2*s - 6\/5*s**2 = 0. Calculate s.\nAnswer: -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 4736*a - 2565 - 2064 - 2748 + 758*a wrt a.\nAnswer: 5494","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -9*l + 39. Suppose 5*d = -3*a - 41, 2*a + 19 = -4*d - 7. What is the hundreds digit of v(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1\/(5 + 0) - 1144\/(-55). Suppose x + 6 = 3*o. Suppose 6*p = -3*p + o. Let i(g) = -g. Let t(h) = 4*h - 2. Calculate p*t(d) + 6*i(d).\nAnswer: -2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.3 and 109858.\nAnswer: 32957.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 152824 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is -0.3 at most -3352?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-104)\/65*(-7 - -2). Suppose q*g + 35 = -205. Which is bigger: g or -26?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) = 22*c - 17. Calculate the remainder when q(6) is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7902 is divided by 184?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 283121701?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 420 minutes after 3:46 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 324419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (sqrt(405) + sqrt(405)*-4)**2 + sqrt(405) + ((-1 + sqrt(320))*-2)**2.\nAnswer: -55*sqrt(5) + 4930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be 22\/(-99) - 74\/(-9). Suppose 12*c = u*c. Suppose 2*b - 184 = 4*t, c = -3*b + 3*t - 8*t + 287. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 298816 a multiple of 92?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 11, -11, -234.\nAnswer: -234, -11, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) be the first derivative of 41*p**3\/3 - p**2\/2 - 2. Let j be t(-1). Suppose -d - 2*d = -j. Does 7 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1319*o - 1321*o - u + 5, 2*o = -5*u + 1 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 463547 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 197\/570 and 46\/368695?\nAnswer: 2212170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*x - x + 4*w - 20, -2*x = -w - 5. What is the tens digit of (x\/6)\/((-24)\/(-3204))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 39834425 to the nearest integer?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23294 is divided by 5821.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.417971 years to centuries.\nAnswer: 0.03417971","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 178603*c**2 - 40197*c wrt c.\nAnswer: 357206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.2 - -0.3. Let z = 21716.3 + -21716. Which is the nearest to u? (a) z (b) 1\/11 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 361, -0.3, 2, -455, 0.\nAnswer: -455, -0.3, 0, 2, 361","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) be the third derivative of c**5\/60 + c**4\/8 + 3*c**2. Let n(i) = 3*i**2 + 7*i. Let p(s) = -7*h(s) + 3*n(s). Let m(t) = -5*t**2. Determine m(p(x)).\nAnswer: -20*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-11*f**3 + 2*f - 2*f)*(-2 - 1 + 0) + (-2 + 2 + 2*f)*(-f**2 - f**2 + f**2).\nAnswer: 31*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 500?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate (32\/64)\/((-3)\/42*1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*l**3*u**2 + 22*l**3*u + 4*l**3 - 3*l**2*u**2 - 2*l**2*u - 3420*l*u**2 + 45*l*u + 3*l wrt u.\nAnswer: 4*l**3 - 6*l**2 - 6840*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3954701?\nAnswer: 29, 31, 53, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0175 rounded to 2 decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or -389?\nAnswer: -389","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:46 PM and 6:30 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in 5, 0.12, 2\/185, 9?\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 0*i + 2*i - 3*i)*(-3455*i**2 + 4032*i - 4032*i).\nAnswer: 3455*i**3 + 3455*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = 2*j**2 - j + 8. List the prime factors of l(6).\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -s**3*y**2 + 14940*s**3*y + s**2*y**2 + 12*s*y + 11*y**2 - 48 wrt s.\nAnswer: -6*s*y**2 + 89640*s*y + 2*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*k - 3*r = 75, -13 = 2*r - 3. Let g(s) = -s**3 - 15*s**2 - s + 3. Let u be g(k). What is the remainder when (u - 13)\/((-1)\/(-3)) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5 + sqrt(32))*1)**2.\nAnswer: 40*sqrt(2) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(315)\/sqrt(5) + sqrt(7) + sqrt(77)\/(sqrt(55)\/sqrt(5)) + -2.\nAnswer: -2 + 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 428982349 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of q**4\/4 - 5*q**3\/3 + 5*q - 103. Calculate l(5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(m) = m - 2. Let l(u) = u + 1. Let q(y) = y - 9. Let r be q(8). Determine r*t(i) - 4*l(i).\nAnswer: -5*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let x be (1*-3)\/(6\/(-8)). Suppose -3*w + 11 = y - 3*y, -x*w - y = 0. Let j(i) = 59*i**2 - 1. Is j(w) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -14*i*k**2*v**2 + 2*i*k**2*v*w**2 - 20*i*v**2 + 2*i*v + 2*i*w + 5*v**2*w**3 + 2*v*w**2 - 3*w**3 - 25*w**2 wrt v?\nAnswer: -28*i*k**2 - 40*i + 10*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 191 divide 109825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = -i**2 - 11*i + 17. Let r be u(-12). Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-13)\/15 + -1 - -2. Let v = -48.3 - -47. Let j = v - -1.2. Sort j, -1\/4, x.\nAnswer: -1\/4, j, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 85.01 - 0.01. Let c = d + -85.053. Round c to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) be the third derivative of -2\/15*r**6 + 0 + 0*r + 3*r**2 + 0*r**4 - 1\/35*r**7 - 1\/5*r**5 + 1\/3*r**3. Factor x(j).\nAnswer: -2*(j + 1)**3*(3*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 116 + -118. Let z = 1.7 + r. Which is the nearest to -2\/5? (a) 0.7 (b) z (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 148 and 4516220.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(1\/3))**(-36)*((l\/(l*l**(-1))*l)\/l)**(9\/2)*l**(-2\/15)*l*l**(-2\/21)*l*l\/(l*l*(l\/l**(2\/15))\/l)*l*l**0*l*l assuming l is positive.\nAnswer: l**(-151\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.146 + -4.854. Let c = -39 - -743\/19. What is the second biggest value in 2\/3, w, c, -2\/17?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 34 in 3, -0.2, -2\/3, -8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4052188.\nAnswer: 2, 7, 17, 8513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Does 57 divide 5402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 726137 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: -0.09*0.0516\nAnswer: -0.004644","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -161740*m + 110514?\nAnswer: -161740","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yoiyiiryiyrlrrorliy. What is prob of picking 3 y?\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -62 + 119 - 1226*x**2 + 613*x**2 - 4 + 615*x**2.\nAnswer: 2*x**2 + 53","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let 201*y - 489\/4*y**3 + 66 - 279\/2*y**2 - 21\/4*y**4 = 0. Calculate y.\nAnswer: -22, -2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be 6\/(-14) + (-6)\/(-14). Solve 3*t - 5*m + 0*m + 18 = n, 4*t = -3*m + 5 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -37\/14762 and -89\/222?\nAnswer: 1638582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = a. Let l(d) = 4*d**2 + 4*d. Let z(r) = 7*r + 731. Let c be z(-104). What is c*l(s) - 12*w(s)?\nAnswer: 12*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 63430?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-6)\/(-4))\/((-3)\/(-4)). Suppose 0 = -o*t + 2 - 4. Let y be t\/((5\/(-6))\/5). Solve -s - s = -y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -81147, -335538, -759515, -1353072, -2116203, -3048902?\nAnswer: -4151163","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -41 + 46 + 2 + 0 - 17\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 divided by -8726593.\nAnswer: -3\/8726593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round 770914.4 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(200) - (sqrt(200) + -3 + 5)**2 - (-4*(-2 + sqrt(200)))**2.\nAnswer: -3468 + 610*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 - -23. Suppose 10*g - k = 6. Let z be (-1)\/3*(2 + g). Are z and -11\/8 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = 108378783*a**3 - 283774*a**2 + 283774*a - 425661. Let l(r) = -4583*r**3 + 12*r**2 - 12*r + 18. Calculate 141887*l(o) + 6*m(o).\nAnswer: 4577*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 2 + 32. Let i(r) = 6. Let t(x) = x + 34. Give q*i(d) - 6*t(d).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from crmrrcrrcmrcccccrmc.\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4331 divided by -16445.\nAnswer: -4331\/16445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand -s + 0*s + 2*s + (65*s - 622 + 622)*(-1 - 2 + 1).\nAnswer: -129*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -74.734 rounded to one decimal place?\nAnswer: -74.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-six fifths of a milligram in micrograms?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.5, -2\/3, 0, 2\/455.\nAnswer: -2\/3, 0, 2\/455, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ztfggtg. What is prob of sequence zt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 1, 4, -7, 71, -6, -4 in descending order.\nAnswer: 71, 5, 4, 1, -4, -6, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 1 (base 13) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5505665 and 5005150.\nAnswer: 55056650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -43.1283 to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = -0*g - 4*g. Suppose 12*w = 39*w + 405. Let r be ((-4)\/5)\/(-2 - 28\/w). Sort -5, r, g in decreasing order.\nAnswer: r, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 5*(1 + sqrt(405) + 1 + -2 + (sqrt(405) + 0 - sqrt(405))**2 + ((sqrt(405) - sqrt(405)*2) + 1 + -1)**2).\nAnswer: 45*sqrt(5) + 2030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*s = -0*s + 26001. Suppose 5*p = 6*a - 7*a + s, 0 = -5*a - p + 14493. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) be the third derivative of -19\/3*n**3 + 5*n - 2*n**2 + 0 + 5\/3*n**4 - 1\/30*n**5. Determine m so that r(m) = 0.\nAnswer: 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g = 179 - 15. Let v = -36 + g. Solve 0*l - v*l + 2 = -2*x, 3*x - 18 = -3*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 2\/17, -1, -18.5, 8\/3, 0.2?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 = -3*b + 13. Suppose -5*i = b - 13. Find the second derivative of k**2 - k**i + 3540*k + 23*k**3 - 3534*k wrt k.\nAnswer: 138*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of -2\/3*q**3 + 32 - 1\/2*q**2 + 2*q. Let m(g) = g - 9. Let k be m(7). Calculate o(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kcckamaacakakka. Give prob of sequence kkm.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 6839803120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose p - 3*t = -5, -2*p = 11*t - 10*t + 10. Let g = 12 - 7. Put g, 4, -3, p in descending order.\nAnswer: g, 4, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = n**3 + 11*n**2 + 8*n - 42. Let m be r(-3). Let x(f) = 2*f**2 + 5 - 1 - f**2 - 6*f. Let o be x(6). Is m < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*m + 135 = 8*m. Solve -3*u + 27 + 1 = -m*y, 4*u = -4*y - 16 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 32182515\/38 or 846909?\nAnswer: 32182515\/38","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = -8 - o**3 - 17*o**2 + 9 + 17*o - 21. Let c be z(-18). Suppose -3*t - 3*n + 8 = -2*n, -20 = -5*t + 5*n. Put t, -3, 4, c in descending order.\nAnswer: 4, t, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -34607.35989 + 34608. What is d rounded to two dps?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -333525, -5, -26 in descending order.\nAnswer: -5, -26, -333525","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -36977, -36978, -36979, -36980?\nAnswer: -36981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 1, 2479 in ascending order.\nAnswer: -5, 1, 2479","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s + 2. Let q be r(0). Suppose v - 15 = -2*v. Suppose 1 = 3*o - v, 2*o = y - 1. Sort -2, q, y.\nAnswer: -2, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-7 + 10*t**2 + 7)*((t - 2*t + 2*t)*(2*t + 2*t - 3*t) + 22*t**2 + 6*t - 2*t**2 - 7*t) to j*t + w*t**3 + g*t**4 + m*t**2 + r and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 1639361597 a multiple of 667?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 = -12*h - 6 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (z + z - 4*z + (z + 2*z - 2*z)*(0 - 1 - 1))*((-z + 5*z + 0*z)*(1 + 1 - 1) + 1 - 2*z - 1) to j*z**2 + n*z + x and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -9003712, -9003720, -9003726, -9003724, -9003708, -9003672, -9003610?\n\"Answer: s**3 - 5*s**2 - 9003708","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 8 (b) -4 (c) 1.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (f**(-2\/11)*f**(-1)*f)**(-2\/163)\/(f**(5\/2)*f*f*f*f*f*f**(-2\/11)\/f*f**(-5\/2)\/(f\/(f\/(f\/f**(3\/5))))) assuming f is positive.\nAnswer: f**(-2784\/815)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1986?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 7*v - 2*v - 3*v + (748 + 310 - 186)*(v + v - 3*v) as i*v + x and give i.\nAnswer: -870","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 337717049 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-9)\/(-12) - (-26)\/8. Suppose -4*j - 24 = -4*a + 192, i*a - 215 = 3*j. List the prime factors of a.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1699, 27125, 52551, 77977, 103403?\nAnswer: 128829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(g) = -376*g + 21 + 430*g + 819*g. Let b be n(4). Suppose -b - 15688 = -7*h. Is h composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*b = -3527 - 18373. Round b to the nearest 1000.\nAnswer: 7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 15323?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = -8*k + 3. Let j be (-1 - 0) + (-10)\/(-2). Let g(h) = 11*h - 2. Let t(m) = 6*m - 1. Let q(s) = -3*g(s) + 5*t(s). Calculate j*d(i) - 11*q(i).\nAnswer: i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -2*h + 29. Let f(l) = l - 15. Let j(s) = 5*f(s) + 3*r(s). Let t be j(15). What is the tens digit of 2 - (-18 - (t + 5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1\/2 (b) 0.2 (c) -2\/821 (d) -5 (e) -0.1 (f) -3\/2 (g) -1\/13\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*i = -0*i + i. Solve 0 = -4*z - 0*z + 4*w - 8, -z - 2*w - 11 = i for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - 44 - (21101 + -21046).\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -36 * 991\nAnswer: -35676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -36 less than 6\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*q + 13*q + 52 = d, 3*d = 5*q + 196. Suppose -d*n + 53*n = -236. List the prime factors of n.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + ((3 + sqrt(13))*4 + sqrt(13))**2.\nAnswer: 120*sqrt(13) + 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g be 36\/(-10) - 18\/45. Is 7 a factor of (3\/g)\/((-5)\/120)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5705, 10990, 15851, 20294, 24325, 27950?\nAnswer: 31175","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b = -103 + 83. Let q be ((b\/6)\/(4\/(-6)))\/1. Suppose 5*z - 3*o - 710 = -4*o, 0 = q*z - o - 700. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c - 8*c = 0. Suppose c = 13*p - 17*p - 72. What is the common denominator of 3 + (2 - 33\/p) and -7\/10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*n - 3*n - n)*((-n**2 - 3*n**2 + 3*n**2)*(-3*n + 3*n + 2*n) + 0*n**3 - 2*n**3 + n**3).\nAnswer: 12*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = -i**3 - 69*i**2 - 537*i + 187. Let v be c(-60). Suppose 2*g + 1 = -j - 5, 5*j - 9 = 3*g. Solve j = 2*n - v*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 13*t + 25*t + 572 - 192 = 0 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen quarters of a litre in millilitres?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 50105520 and 580.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(-16)\/((u**(-1)*u)\/u*u))**(-14) assuming u is positive.\nAnswer: u**224","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose j - 2*z + 12 = 4*j, -3*j = -3*z - 27. Solve -2*y = -3*q - 5, 5*q + j = y - 0*y for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -243545600 divided by 4240.\nAnswer: -57440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**2\/u)**(4\/5)*u**7\/(u**(-1\/2)\/u))\/((u*u*((u\/(u\/(u**(3\/4)*u)))\/u)\/u*u)**43)**41 assuming u is positive.\nAnswer: u**(-96779\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 50476284.\nAnswer: 2, 3, 83, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2608 + 1\/(-3) + 176\/(-48)?\nAnswer: 2, 3, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.211 rounded to 1 decimal place?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose w = -4*w. Suppose 3*q = 5*i - 11 - 7, w = 4*q + 3*i + 24. Let l = 14 + q. Calculate the highest common divisor of 88 and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.44806 * -0.08.\nAnswer: 0.0358448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jpvybjbbpbyjbpbpj. Give prob of sequence yy.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1*(-6)\/(-369))\/((-4)\/(-15)*870\/1044).\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 31 + b?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 31 = f, -2*f + 2*g = -f - 21. What is the tens digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be 6*6\/(-9) - -6. Solve -a*l + 3 + 5 = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (9 - (7 + 91\/35))*5 - 144\/6?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) be the second derivative of 34*f**3\/3 - f**2\/2 + 5*f. Is p(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 344392 to the nearest integer?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert -2bb909 (base 15) to base 2.\nAnswer: -1000000100010011100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -38786, -38777, -38768?\nAnswer: -38759","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 226\/5*r + 2\/5*r**2 + 224\/5 = 0. Calculate r.\nAnswer: -112, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -7 (base 9) to base 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 773\/2758 - 13\/197. Which is the nearest to j? (a) -1 (b) 2\/3 (c) -4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 117225 divided by 1563\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.6 - -0.55. Let d = f + 0.05. Let x = -33\/85 - 1\/85. Are x and d nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 80496.02ml?\nAnswer: 80.49602","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = -199.056 + 199. Let s = z + 0.156. Which is the closest to -2? (a) 4 (b) s (c) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(180) + 3)**2*-2 - (sqrt(200)\/(sqrt(20)\/(2*sqrt(2) - sqrt(2))) + 0).\nAnswer: -378 - 74*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t + 8. Let f(v) = -v - 2. Let d(p) = 4*f(p) + x(p). Let g(s) = -4*s**2. Calculate d(g(h)).\nAnswer: 20*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*u**2 + 5*u**2 - 47*u + 20*u**2 + 17*u.\nAnswer: 2*u**2 - 30*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19*n + 6*n + 7 - 7 - 21*n**3 wrt n.\nAnswer: -126*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 5*r = -119 + 313, -r + 190 = 3*v. What is the remainder when v is divided by 36?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.1394, -11, 0?\nAnswer: 0.1394","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4*(sqrt(21)\/sqrt(3) + 5) + 2*(sqrt(175) + (sqrt(175) + sqrt(175) + 1)**2).\nAnswer: 54*sqrt(7) + 1422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 7\/3 of a decade in months?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20499829 is divided by 1016?\nAnswer: 1013","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 477, -238, -3343, -10032, -21499, -38938, -63543, -96508?\nAnswer: -139027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 5 + ((-1260)\/102)\/3 - 1?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 1331 (base 4) in base 2?\nAnswer: 1111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -25, -33, -53, -91, -153, -245, -373?\nAnswer: -543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q\/q**(-1\/4))**(-11)*(q\/((q\/(q*q**(1\/3))*q*q*q)\/q))\/q**6)\/((q*q*q*q**(1\/12))\/q**(-1)*(q*(q*q**(1\/3))\/q)**41) assuming q is positive.\nAnswer: q**(-475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let i be 3\/12 + 52\/(-16). Let k(w) = -w - 2. Let m be k(i). What is the highest common factor of m and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 826 divided by 3677\nAnswer: 826\/3677","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 35687186 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: (5 - -3 - -2) + -19\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -5\/108 and 103\/60.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -411660, -412582, -413506, -414432, -415360, -416290, -417222?\n\"Answer: -k**2 - 919*k - 410740","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) be the second derivative of w**4\/84 - 19*w**3\/21 + 361*w**2\/14 + 10*w - 3. Factor y(m).\nAnswer: (m - 19)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q - f + 10 = 0, q + 4*f + 3 + 2 = 0. Let i(h) = 7 - 6*h + 2 - h**2 - 6 + q. Let r be i(-6). Round r to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 165 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 4? (a) -2\/17 (b) 3\/2 (c) 1\/4 (d) 1\/3 (e) 6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Do 47871 and 5.6 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + 3 + 2 + -6 + -37 + -7 + 5?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 3, t: 8}. Give prob of sequence tqq.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let s = -94907\/12 + 7915. Suppose -3*m = -2 + 5. What is the common denominator of s and ((-213)\/18 - m) + -3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 2*(1\/2 - -1). Suppose -3 - 4 = -p + 4*v, -w*v + 3 = 2*p. Let m = -1332 + 1333. What is the biggest value in m, -0.3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3284.149403591 + -0.4?\nAnswer: 3283.749403591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 2:31 PM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 8) to base 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 75161 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 16+-790\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {n: 3, z: 4, k: 7}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 60066698 a multiple of 719?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let m be 0 + (-2 - 0) - -6. Suppose 0 = -m*u + 34 + 6. What is the derivative of 2*k**2 + 2 + u*k - 10*k wrt k?\nAnswer: 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 4868121.\nAnswer: 3, 1622707","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + -2*sqrt(112))**2.\nAnswer: 80*sqrt(7) + 473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o be (((-3)\/(-1))\/(-3))\/(-4)*-1. Suppose 0 = 13*m - 14*m + 10. Let j = 1279\/5 + -255. What is the third biggest value in m, j, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-8))\/((-6)\/(96\/4))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2 divided by 27\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + -35 - (673 + -690).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(a) = -33*a + 373. Let r(z) = 11*z - 124. Let b(t) = 3*m(t) + 8*r(t). Is 8 a factor of b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*y + 4*y - y + (-2 + 0 + 0)*(-1 + 1 - y) + (3 - 3 + 3)*(-2 + y + 2).\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose l**2\/4 + 15*l + 59\/4 = 0. What is l?\nAnswer: -59, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is (2 - (0 - 4))*67\/268?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 8 - 10. Let l be n\/2 + (8 - 4). Suppose -4*i + 36 = -0*t - 4*t, -i - l = 3*t. What is the highest common factor of i and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m, 2 z, and 1 p when four letters picked without replacement from {z: 5, m: 3, p: 8}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tn when two letters picked without replacement from tnwmnwnenmnmmmm?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: (-1*16\/152)\/((-10)\/5)\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 1\/4 of a millimeter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 1b3 - 4?\nAnswer: 1ad","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -107*h + 3269994 = -1216195. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 1)*(52975 - 29545 - 30404)*(-4*c - 2*c + 3*c).\nAnswer: -20922*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = -10*d + 5*d + 91795, -2*w = 2*d - 36718. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3 + 39176*k**2 - 191884042*k + 383611396.\nAnswer: -2*(k - 9793)**2*(k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 321195947 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 15202550 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 307084 to the nearest integer?\nAnswer: 554","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) be the second derivative of d**3\/3 - d**2\/2 + 28*d. Calculate l(-7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 0.0143, 0.2, 0.09?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate (8\/(64\/(-12)))\/(19\/(-228)*117).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*r - 11*r + 18*r)*(-r**2 + 9*r**2 - 5*r**2 + 0*r**2 - 3*r**2 + r**2 + 0*r**2 - r**2 + 3*r**2 + (2 - 3 - 1)*(-4*r + 2*r**2 + 4*r)).\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -36412 or -36227?\nAnswer: -36412","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1425945, -1425944, -1425943, -1425942, -1425941?\n\"Answer: c - 1425946","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -820304310 divided by -273434770\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 42 - -16409.\nAnswer: 16451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor k**2\/2 - 8660691*k\/2 - 4330346.\nAnswer: (k - 8660692)*(k + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = -y + 2*h, y - 2*h = -h. Suppose -3*q - 11999994 = 2*q + y*f, -3*q - 7199996 = 2*f. What is q rounded to the nearest 100000?\nAnswer: -2400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 51880881?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f - f + 128 = 0. Suppose 0*z + 4*z = f. Let k = -12 + z. What are the prime factors of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.360809 hours to milliseconds.\nAnswer: 19298912.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 20222 divided by -2.\nAnswer: -10111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 199 a factor of 2720553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kmylm. Give prob of sequence ymk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-2)\/(-5) + (-30)\/75. Suppose l = 4*h - 14 - 30. What is the remainder when 42 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -64*u**3 + 33868 - 33868.\nAnswer: -64*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7)\/1*(-212)\/636*-12.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f and 1 g when three letters picked without replacement from ggfgffgfffffgfggfff.\nAnswer: 154\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -w**3 - 6*w**2 - 37*w - 108. Determine o(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - b5cf89?\nAnswer: -b5cf86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -51\/111890 and -89\/18?\nAnswer: 1007010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j = -25 - -24.61. Round j to 1 decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-49)\/(-63) + (-2)\/(-9) + 3. Suppose -68 = -0*r - r. Calculate the highest common divisor of r and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -180068 + 1262789\/7. Let r = v + -331. Which is the closest to -1? (a) r (b) -4 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -17273*d**3*s**2 - 6*d**3*s + 3*d**2*s wrt s.\nAnswer: -34546*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = -2*r - 3. Let y(m) = -m**2 + 4*m - 1. Let c be y(3). Let d be 3\/9 - c\/(-3). Solve -r*t + d + 2 = 0 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(f) = f**2 + 29*f - 831. Let l be c(-47). Put 3, 4, -2, l in ascending order.\nAnswer: -2, 3, 4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*f + 38 + 2 = 0. Let l = f - 10. What is the derivative of 1 - 3 + 5*r**3 - 1 + l wrt r?\nAnswer: 15*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2773073495 + 12.8?\nAnswer: -2773073482.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -375, -377, -381, -387?\nAnswer: -395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(330)\/(-2*sqrt(1000)))\/(-5*(sqrt(176)*4 - sqrt(176))).\nAnswer: sqrt(3)\/1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ckfc when four letters picked without replacement from ckzczccczfffccfczccf.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-3)\/35)\/((-186)\/30 + 5)*-3?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*h**2 - 72\/7*h + 0 - 32\/7*h**3 - 4\/7*h**4.\nAnswer: -4*h*(h + 2)*(h + 3)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*q + 5*q - q + (1 - 1 - 2)*(-5*q + 20 - 20) to b + g*q and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*u**3 + 2*u**3 + 5*u**3)*(1 - 3*u - 1) + 7*u**4 + 7*u**4 - 7*u**4 + (3*u - 5*u + 4*u)*(-u**2 + u**2 - 2*u**3).\nAnswer: -3*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of -3*g**5\/5 + 25*g**3\/6 - 8*g**2. What is the first derivative of b(u) wrt u?\nAnswer: -72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -9927 + 9973. Is q at most 119?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -174, 6, -5 in decreasing order.\nAnswer: 6, -5, -174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let j = -27 + 53. Suppose 3*g + j = 74. List the prime factors of (-2)\/(-8) + 428\/g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -182*s**2 - 2224*s + 6098584 wrt s.\nAnswer: -364*s - 2224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -3*g**2*s**2*u + 301*g**2*u**2 + s**2*u**2 - 266*s**2*u - 6*s**2 + 2 wrt g?\nAnswer: -6*g*s**2*u + 602*g*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -24*q**2 - 62*q - 6. Let f(i) = 23*i**2 + 60*i + 5. Let h(u) = -6*f(u) - 5*r(u). What is the second derivative of h(s) wrt s?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a + 18 = -2*c, -5*a + a + 4*c - 12 = 0. Let z = 2.3 - 2.8. Sort -2\/13, z, a in descending order.\nAnswer: -2\/13, z, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*h + 9267 = 927. Suppose 9*t = h + 97. What is the remainder when t is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(d) = 4*d**2 + 33*d - 105. Calculate the remainder when l(6) is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -5 divided by -19?\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be 91195\/(-50) - (-5)\/(-50). Let k = i + 3225. What are the prime factors of k?\nAnswer: 3, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r - 4 = k + 9, -3*r = k - 22. Let y = 27 - 18. Suppose -l + 4*l = y. Calculate the lowest common multiple of l and r.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 33466 <= -219?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express 59 - 59 - 16*p in the form q*p + u and give q.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 44*j + 2*c - 53 = 43*j, -5*c = j - 68. What is the remainder when 157 is divided by j?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(u) = u + 2. Let n be w(-4). Calculate the remainder when 24 is divided by (n*3\/6)\/(8\/(-104)).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -10105 (base 9) in base 7?\nAnswer: -25244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 7734018949 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 185*a**3 + 276*a**3 + 96*a**3 + 316*a**3.\nAnswer: 873*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-82)\/(-6)*234\/4602*59.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 627 minutes after 7:48 AM?\nAnswer: 6:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is -5*1 - (-21*(-39)\/(-91) - 2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) be the third derivative of -23*b**4\/24 + b**3\/3 - 27*b**2. Let y(m) = -m**2. Determine h(y(g)).\nAnswer: 23*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) -11\/10 (b) 5 (c) 2 (d) -146.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose n + 0*n = -2, 2*n - 98039996 = 3*v. What is v rounded to the nearest 1000000?\nAnswer: -33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (2*s - 4*s + 0*s)*((-16 - 20 + 16)*(-s - s + 4*s) + 28*s + 1208 - 1208 - 3*s + 2*s + 5*s) to f + m*s**2 + n*s and give m.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3\/9)\/1*1*-2.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -222, -243, -264, -285, -306?\n\"Answer: -21*i - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 3305, 3234, 3165, 3098?\n\"Answer: w**2 - 74*w + 3378","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -0.4 (b) 2\/13 (c) 7 (d) 0.10045\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let p(f) = 203*f**2 - 19*f. Let c(h) = h. Determine p(c(k)).\nAnswer: 203*k**2 - 19*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 36045?\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 27 - 102 - (-26 + -29).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 145737.32 + -202388\nAnswer: -56650.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 37\/1987440 and 109\/2940?\nAnswer: 1987440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 2 + 2*l**2 - 2*l + 3*l - 5*l. Let t be x(2). Suppose t*c + 4 = -4. Let m(d) = -d**3 - 3*d**2 + 3*d - 4. What is m(c)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is ((-60)\/40)\/((-6)\/31268) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 40106 is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1 in -0.1, -10.6, -0.5, 0.4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 986.\nAnswer: 2, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45 - m**2 + 0*m**2 - 45.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -109.09 times -0.052\nAnswer: 5.67268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*h + 2*h + 4, 4*h = 4*l + 32. Let g be 2 - (2 + l)\/(-1). Let c = g - -4. Solve 2*m - 2 - c = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/4 + 308\/56. Let n be 4\/(-56) - (-3)\/c. Find z, given that n*z**3 - 5\/7*z + 8\/7*z**2 - 6\/7 = 0.\nAnswer: -3, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**2 + 20*t - 2014. Let x be b(-56). Solve x = 2*u - 154*n + 155*n, -u + 3*n = -15 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n**8\/n*n\/(n*(n*n**(-12))\/n))\/((n*n*n*n**(-4)\/n*n)\/n)**(-1\/36))**(-8\/11) assuming n is positive.\nAnswer: n**(-124\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 201112 - 3011?\nAnswer: 132101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 55343724 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u**2 - 61*u + 61*u - 34 + 34.\nAnswer: -3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 82366200?\nAnswer: 2, 3, 5, 7, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of -d**4\/4 + d**3 + d**2 - d - 4. Give s(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = -23*w**2 - 551*w + 35. Let n be s(-24). What is the greatest common factor of n and 4609?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(p) = -7*p**2. Let h(c) = 17*c + 14. Let o(r) = -9*r - 8. Let l(n) = 4*h(n) + 7*o(n). Calculate k(l(z)).\nAnswer: -175*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 802 to the power of 1\/2, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*o**2 - 594*o + 597.\nAnswer: -3*(o - 1)*(o + 199)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: c10dc (base 16) to base 12\nAnswer: 321738","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -20 - (-185)\/(-10)*-15*(-52)\/(-650)\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 6*(((sqrt(80) - sqrt(80)*2)\/sqrt(8))\/(sqrt(2) - 2*sqrt(32))*1)**2.\nAnswer: 30\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(-1 + sqrt(5)*-2)**2.\nAnswer: -105 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 898*n**5 + 2*n - 237?\nAnswer: 17960*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*g**3 - 5*g**3 + 11*g**2 + 4*g**3.\nAnswer: -3*g**3 + 11*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -s + s + 3*s + 0*s**3 + s**3.\nAnswer: s**3 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7998613?\nAnswer: 7, 239, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = -4 + 7. Let l be (65\/(-26))\/(25\/(-20)). Solve -l*i = v*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 10\/((-20)\/14)*(-1288)\/19159*(-15)\/(-4)\nAnswer: 30\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 736 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand (397 + 329 - 215)*(-3*b**4 + 4*b**4 + 0*b**4).\nAnswer: 511*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 12648515?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:24 AM and 9:00 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in w**2 - 11*w**2 + 5*w**2 - 4*w**2 - w**2.\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 2007539 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 6*v - 8. Let z be (1\/3)\/((-18)\/(-810)). Let y = -6 + z. What are the prime factors of a(y)?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 293414 and 44?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -11 - 36*j**2 + j**2 + 11.\nAnswer: -35*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) be the second derivative of -j**4\/12 + 3*j. Let x(o) = 3*o**2 - o. Let b(n) = -17*g(n) - 6*x(n). Calculate b(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -320*i + 93*i - 337*i - 19176 = 0 for i.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 35ab - 1177?\nAnswer: 2434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 5 times -3082?\nAnswer: -15410","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 2 = -14. Is d\/2*(-40)\/(-12) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 26061?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l = -29 + 27. Suppose 2*h - 29 = -c, 0 = -5*h + 2*c + 37 + 13. Let j = h + l. Is j a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1368, -2, -3, 2.\nAnswer: -1368, -3, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 36*k - 5*k**3 - 34*k - 6*k**3 + 3*k**3 to i*k**2 + a*k**3 + r + s*k and give s.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out 6.80367876 * -0.1.\nAnswer: -0.680367876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**2 + 5*i - 6. Let l(v) = 2*v**2 + v - 4. Let j be l(-3). Let x = -6 + j. What is q(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -891\/10 + 89. Put 2, h, 0 in ascending order.\nAnswer: h, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 - 7*n + 6. Let w be s(6). Let d(j) be the first derivative of 1\/5*j**4 + 2\/15*j**3 + 2\/25*j**5 + w*j**2 + 0*j - 2. What is p in d(p) = 0?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 107048 and 8376506.\nAnswer: 33506024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*h - 2*m - 63 = 0, 4*m - 75638 = -h - 75647 for h.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = -a**2 - 12*a + 85. Calculate the remainder when 244 is divided by z(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2\/(-7) - (-36)\/(-21). Calculate the remainder when (100\/(-6))\/(o\/3) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 145444250 to the nearest integer?\nAnswer: 12060","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1004 and 183733004.\nAnswer: 1004","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-55)\/2*(-28)\/14. Suppose 0 = -5*t + q + 75. Find the second derivative of -5*v - 63*v + t*v + 38*v**2 wrt v.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -368? (a) -2\/37 (b) 0.5 (c) -4 (d) 0.157\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = b**3 + 5*b**2 + 7*b + 6. Let i be -5 + 6\/(-8 + 14). Determine v(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l**3 + 70*l**2 + 3*l + 105. Let r be d(-35). Put 3, 4, 0.4, r, -0.3 in decreasing order.\nAnswer: 4, 3, 0.4, r, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (9 + -1 - 2)*8\/24. Differentiate 27 + u**2 + 131*u + 6*u**2 + u**t - 128*u with respect to u.\nAnswer: 16*u + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y**3 - 1618010*y**2 + 130834692800*y + 10214952384000 = 0. Calculate y.\nAnswer: -78, 161840","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 300 and 215844?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 25\/27958988 and -55\/576144?\nAnswer: 1006523568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: (-28)\/(-20)*4\/(-28)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*f + 24*f - 1386 = 0. What are the prime factors of f?\nAnswer: 3, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = -t**2 + 2. Let k be x(0). Suppose 0 = -k*n + 1 + 1. Let w(h) = -6*h**2 + 1. Give w(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: -2545 divided by 509\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 69705, 69932, 70159, 70386, 70613, 70840?\nAnswer: 71067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -315155*h**3 + 88295*h**2 wrt h.\nAnswer: -1890930","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = o**3 - o**2 + 1. Let c(r) = -4*r**3 + 9*r**2 - 5*r - 14. Let d(j) = -c(j) - 3*f(j). Let h be d(4). Let w = -5 - -8. Sort h, w, 2 in decreasing order.\nAnswer: w, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*g - 157*g + 2727 = 0 for g.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 847235 to the power of 1\/2, to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0970477 rounded to four decimal places?\nAnswer: -0.097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 36 = 9*g - 171. Suppose g*o = y + 24*o - 4, 5*o = 2*y - 22. Calculate the lowest common multiple of 51 and y.\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -183 times -5.92248?\nAnswer: 1083.81384","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 662 minutes before 8:50 AM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = -163 - -166. Suppose -3*u - 121 - 241 = -a, 4*u - 1151 = -n*a. What is the tens digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8 + 13 = t. Suppose -t*u - 15 = 0, 2*m - 3*u = -4*u + 895. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 751237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = 22 + -15. Suppose u + p = 3*q, 2*q + 5*u = 6 + 10. Solve -4 = -q*y - y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1872 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 11437*a**5*c + 21889*a**4*c**2 - 7*a**2*c**2 - 10*a**2*c + 3875458*c wrt a?\nAnswer: 686220*a**2*c + 525336*a*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 47, 57, 67, 77?\n\"Answer: 10*m + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -h - g - 3, 6*h + 4 = 3*h + 2*g. What is the remainder when -155*((-4)\/10 + 0) is divided by (-5 - h)\/((-1)\/7)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) be the first derivative of -5*s**2\/2 - 4*s - 3. Let l be x(-4). Solve 3*u = 1 - l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let 3*v**2\/5 + 15834*v - 871233\/5 = 0. What is v?\nAnswer: -26401, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate 31897066 divided by -251158.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 5 - 1)*(5*y - 8*y + 2*y + (-3*y + y + y)*(0 + 1 - 3) - 45 + 97*y + 45).\nAnswer: 196*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 46765093 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5900398 divided by 29.\nAnswer: 203462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Determine v so that -91*v**3\/8 - 84633*v**2\/8 - 19679265*v\/8 - 648675\/8 = 0.\nAnswer: -465, -3\/91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(o) = 25043*o - 2. Let v(l) = 100*l. Give h(v(q)).\nAnswer: 2504300*q - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = 129*x**2 - 1500*x - 46276. Calculate r(-14).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -142, -25, 114, 275?\n\"Answer: 11*t**2 + 84*t - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/7 + -4)\/((-552)\/(-483))?\nAnswer: -11\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13.75 - 1.15. Let a = -14 + y. Let p = a + 1.6. Which is greater: p or -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 45*s + 483. Let h be m(-12). Suppose 3*v - v = 76. Let y = v + h. What is y rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(j) = j**2 - 15*j + 55. Let o be r(6). Let q(i) be the first derivative of 3\/5*i**5 + 0*i**2 + 0*i**3 - 3\/4*i**4 + o + 0*i. Suppose q(u) = 0. What is u?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w + 10 = 2*s, -3*w + 13 = -3*s + 2*s. Factor 7*v**w + 12*v**5 + 8 - 8 - 16*v**4 - 3*v**3.\nAnswer: 3*v**3*(v - 1)*(4*v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(l) = l**3 - 2*l**2 + 5*l + 4. Let p = 4 - -1. Let k be u(p). Let q(z) = 56 + 48 - k + 3*z**2. Let g(d) = -8*d. Give q(g(j)).\nAnswer: 192*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -15, -5, 26, -26 in descending order.\nAnswer: 26, 0, -5, -15, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n**2 + n - 1. Let j be s(0). Let c = -14 + 11. Sort 3, j, c in descending order.\nAnswer: 3, j, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 108 divide 570*1\/((-70)\/(-756))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 600 is divided by 88?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 71899?\nAnswer: 71899","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11555158 to the nearest integer?\nAnswer: 3399","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1\/(-6))\/(444\/(-4440)).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -6 + -15dd558?\nAnswer: -15dd55e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r be 2 - (2 - 10000\/12). Let n = r + -853. What is the common denominator of 29\/7 and n?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.011878 rounded to three decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 1 - 21*j**2 - 4 + 2*j + 2 + 46*j**2. Let f be v(1). Let u = -93 - -132. Calculate the highest common divisor of f and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5*(sqrt(252)\/(sqrt(448)*-4))\/(sqrt(84)\/(sqrt(308)\/sqrt(11))).\nAnswer: 5*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -h = -i + 6, -h + 6*h = -4*i + 60. Suppose -i*m + 50 = 20. Solve -m*c = -c + 2 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: -217461*-3\nAnswer: 652383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put 4\/109, 76, 0.53 in descending order.\nAnswer: 76, 0.53, 4\/109","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20187129094*x - 2*x**2 - 20187129094*x - x**2.\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 569586.\nAnswer: 2, 3, 59, 1609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*d + 3*d = 4*b + 6, 0 = 2*b + 8. Let s be 2*-1 - (d + -3). Suppose -14 = -p - 2*z, s*p - z - 3*z - 62 = 0. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 + p + 24. Calculate the smallest common multiple of 252\/(-72)*60\/(-7) and f(0).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*c - 21*c + 26*c**3 - 57*c**3 + 4*c + 43*c**3.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 2057?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -2*z**3 + 6*z - 5*z - 3*z**3 - 2 + 6*z**3 to the form c + r*z**3 + h*z**2 + o*z and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 4 (b) 0.11 (c) 75 (d) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 2360063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1568, -1559, -1552, -1547?\nAnswer: -1544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 3*r + 19. Let l be j(-8). Let h = -6 - l. Which is the closest to -0.2? (a) 4 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 260, 1, 4, -4 in decreasing order.\nAnswer: 260, 4, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: -1 divided by 65344\nAnswer: -1\/65344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3*((-20)\/(-2))\/30?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = -v - 9. Let y be s(-11). Suppose 0 = -5*c + 3*p - 22, -y*c - 3*p - 8 = -4*p. What is the units digit of (1 + c)*-13 - 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t - 8 = 16. Let b be (-51)\/(-5) - 2\/10. Let r = b - t. Solve r*z = -4*f + 4, 3*z = -3*f - z - 1 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -3, -73, 3724, -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 216 divide 89767666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c**(-1\/4)\/c*c*c**(-26\/5)\/c*c)**(-33))**(-1\/60) assuming c is positive.\nAnswer: c**(-1199\/400)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-102)\/9 - 2\/3)*1. Let y be 6\/(-8)*(b - (-645)\/54). Let g(l) = -l + 6. Let a be g(6). Is y smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -s - 4. Suppose 5*q = -b + 5*b + 40, -2*b = -4*q + 26. What is the least common multiple of x(b) and 1\/(3 + 20\/(-8))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be -3 + 2 + 0 + -1. Let q be (-13 + 8)\/(w\/(-2)). Let u(v) = -v**2 - 6*v + 5. Calculate the lowest common multiple of 8 and u(q).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the third derivative of -r**5\/30 + 2*r**2. Suppose 2*p - 18 = -2*p + 2*g, 4*p - 15 = g. Let t(v) = v + p*v + v. Give f(t(x)).\nAnswer: -50*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is y in 4*y**4 + 4976*y**3 + 24728*y**2 - 64400*y + 34692 = 0?\nAnswer: -1239, -7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find n such that 132\/17 + 266\/17*n - 1606\/17*n**3 - 1448\/17*n**2 - 24\/17*n**4 = 0.\nAnswer: -66, -1, -1\/4, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -109 - -439\/4. Let g = -242.4 + 242. What is the closest to -1 in g, -1\/5, s?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 43 + (-14 + -84 - -5) + 9 + -3 + 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8*u - 13 + 13)*(-4 - 4*u + 4)*(1 + 18 - 4)*(1 + 1 + 1).\nAnswer: 1440*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-3)\/(-6) - (2636\/(-8) + -4). Let x = 304 + j. Is 62 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 920449722?\nAnswer: 2, 3, 153408287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 96 + (285 - 254) + 3 + -37.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/3 + 72\/15. Let w = c + -23\/3. Let f = -14\/5 - w. Is 1\/2 not equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 975?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(900)*2 + sqrt(900))*-6)\/(sqrt(24)\/(sqrt(32)\/sqrt(4)) + sqrt(3) - sqrt(18)\/(sqrt(6)*1)))**2.\nAnswer: 97200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 170781 (base 11) in base 12?\nAnswer: 109076","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 149*f + 3656 + 1579 + 3705 = 0 for f.\nAnswer: -60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 132\/23 > 3\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 23863, 47729, 71595, 95461, 119327, 143193?\n\"Answer: 23866*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -0.1 in 4\/3, 1, 27?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 981310245.\nAnswer: 3, 5, 83, 503, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 718976 to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.7 - 4.3. Let q = 4840.4 - 4840.4. Which is the closest to q? (a) -3 (b) -3\/4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -1\/22, 0.07, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 574, 569, 554, 523, 470?\nAnswer: 389","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 4*i - 20 = 0, i + 3 = -2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -312202100 (base 5) to base 13.\nAnswer: -3611c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -16*q + 4*q - 7*q = 0 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 103881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 111 (base 4) to base 3\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 155 + -929\/6. Solve -1\/6*i**3 + 1\/6 - 1\/6*i**2 + u*i = 0 for i.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 11283.98178 - 11440.\nAnswer: -156.01822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((((-14)\/35)\/(-1))\/(1\/5))\/(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 687583\/11 <= 62507?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = 109*v - 1095. Let y be f(10). Put y, 5, 29 in descending order.\nAnswer: 29, 5, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + m = 35, 0 = -5*r - 0*r - 4*m + 80. What is the least common multiple of 6 and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2 at most as big as 0.063377?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-6)\/3*1\/(-2). Let t be (0 - s)\/(6\/(-24)). Put 1, 2, t in descending order.\nAnswer: t, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 2, v: 3, g: 4, j: 2}. What is prob of sequence ju?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1 less than -211535.402?\nAnswer: -211535.502","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let v be 0\/(-66) - (-9)\/(-6)*166. Let d = v - -795. What are the prime factors of d?\nAnswer: 2, 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x*x\/(x*x**9)))\/x**(1\/13)*(x**(-13\/4)\/x)**(-2\/23))**(-31) assuming x is positive.\nAnswer: x**(-172267\/598)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 + 34 = 4*s. Solve -12*j + 8*j = -s for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pppptppppppppppppppp. Give prob of sequence ppp.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let m = 429 + -304. Suppose 5*z + 5*w - 440 = -m, 2*z + 4*w = 130. Is 18 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve t**4\/8 - 549*t**3 + 4705911*t**2\/8 + 64501327*t\/2 - 351781485\/2 = 0 for t.\nAnswer: -57, 5, 2222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 25\/8 of a microgram in nanograms?\nAnswer: 3125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = 1. Let k be -1*(4 + (-9)\/3). Let z(l) = 3 + 1 - 1 + 3*l. Let n(h) = k*z(h) + 3*d(h). Let i(w) = w**2. What is n(i(b))?\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 0.13 less than -907?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(g) = g**2 + 3*g - 4. Let v(o) = o**2 - o + 5. Let s be v(0). Suppose 20 = -s*t + 5*n, 5 = 5*n - 15. Suppose t - 4 = w. Give d(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1060 is divided by 378.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let l = -8 + 7.85. Put 5, l, -0.4 in ascending order.\nAnswer: -0.4, l, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 30 - 100 - ((-217)\/31 - -1*1) - 2.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 140209 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from iitiit. What is prob of sequence tt?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g = -61.92 + 61.82. Sort g, -0.4, -303 in decreasing order.\nAnswer: g, -0.4, -303","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(u) = -20*u**2 + 136*u + 201. Determine c(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1\/2 or -2\/11105?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w = -67 - -78. What is the second smallest value in 5, 0, w?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -51*f**3 - 37*f**2 - 63401*f?\nAnswer: -306*f - 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 14877612 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 771, 1586, 2411, 3252, 4115?\nAnswer: 5006","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 49 - 43. Suppose -k = -3*v, 3*d - 3 = 2*v - 4. Calculate the common denominator of 17\/11 and d + -128*(-1 - (-20)\/24).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 2 + -3. Is 7 a factor of (7\/(-3))\/(n\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 49, 1, 0 in decreasing order.\nAnswer: 49, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from vaavvvvjvalvjjxa.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -69586 or -69580?\nAnswer: -69580","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 133*c - 101*c - 78*c to p*c + h and give p.\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v + 0 + 11 = 15*u + 52, -3*v - 3 = 3*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 17451023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = 25 + 15 - 15 - 55*l. Let y(o) = 9*o - 4. Let p(g) = 4*a(g) + 25*y(g). Let u(m) be the first derivative of m**2 + 1. Determine p(u(d)).\nAnswer: 10*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Are -212496\/79 and -2689 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(q) = q**2 + 60*q - 4268. What is h(42)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*q**4 + 5835*q**3 + 123417*q**2 + 865977*q + 2023014.\nAnswer: -3*(q - 1966)*(q + 7)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 90410908187 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is next in -429, -416, -385, -330, -245, -124?\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 8 = u, -b - 2*u - 7 = 0. Let a be (3 - 1 - b) + -1. Let l be ((-3)\/(-6)*a)\/1. Solve 2*k + 4*p = 5*k + 1, l = k + 5*p - 25 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 68*(-2)\/20*-5. Let j = -387 + 178. Let d = -73 - j. What is the highest common factor of l and d?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 8569362*0.11\nAnswer: 942629.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2754025 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 4 and 124.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*h + 5*p + 6 = 0, 0*h + 3*h - 2*p = 15. Let k(l) be the first derivative of -1\/4*l**4 + 0*l + 0*l**3 + 1\/2*l**2 - h. Factor k(u).\nAnswer: -u*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-84)\/22 + (-320)\/1760 - (-265 - 1). Solve 83*i = 70 + l for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 268390, 536703, 805016, 1073329, 1341642?\n\"Answer: 268313*l + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w = 0.07 - -8.93. Let k = 0.15465 - 9.15915. Let g = w + k. Round g to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (0\/(-1) + -11)*(-7)\/7. Suppose p*u - 20*u = -3492. What is the tens digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n - 132 = -179. Suppose -56*y + n*y = -4968. Is y a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2\/(-7) - 1032\/(-1505)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 71\/3 of a decade in months?\nAnswer: 2840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = -2*y - 2. Let l be q(-3). Let n = -1 + 21. Let r = 36 - n. Solve -g + r = -l*a - 3*g, -8 = -4*a + 4*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 7.7 and 21350.\nAnswer: 164395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -266661904, -266661905, -266661906, -266661907, -266661908, -266661909?\n\"Answer: -r - 266661903","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - (-21)\/(-18) - 410\/(-15744)*-32.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 1 l when two letters picked without replacement from uetltkt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 113 a factor of 1166103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -2*u*z**2 + 215*u*z + 4*u + 75152*z**2 - 2*z wrt u?\nAnswer: -2*z**2 + 215*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -501 + 496. Sort 1, 4, 6, n in decreasing order.\nAnswer: 6, 4, 1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -54*a**2 + a + 1. Give d(-1).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose v = 1 + 2. Suppose -86 = 5*c - 3*w, v*w = 3*c + 56 - 2. List the prime factors of 4\/1*(-12)\/c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 18637380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 5989.3141 days?\nAnswer: 855.6163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = -111092*p + 4. What is d(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -1 + 10000110?\nAnswer: 10000101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 2915284036 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve 63*y + 80 + 172 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*g = -234 - 94 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 14 - 111*v**3 + 112*v**3 - 9*v**2 - 9*v - 3. Calculate r(10).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -4*d. Let h(f) be the second derivative of f**4\/12 - f**3\/2 - 3*f**2\/2 + 3*f. Let g(j) = j**2 - j - 1. Let o(l) = -3*g(l) + h(l). Calculate o(s(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g be 0\/(0 - -28 - 27). Let b(s) be the first derivative of s**2 - 42 + 0*s**4 + g*s**3 + 4\/5*s**5 + 37*s. Differentiate b(v) wrt v.\nAnswer: 16*v**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 235204243 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 11850316 to the power of 1\/3, to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 3 + 145\/(-45) - 26\/(-117). Suppose x + 0*t + 4\/5*t**2 = 0. Calculate t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 8, t: 5}.\nAnswer: 14\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 632 = -3*q + 7*q. Suppose 0 = -5*v - 4*z + 5, 0 = z - 4 + 9. Suppose 15 = -0*s + s - v*f, 2*s - 2*f = 70. What is the remainder when q is divided by s?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 3938733, 15754939, 35448615, 63019761?\n\"Answer: 3938735*d**2 + d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 63416 = 4*c - 44316. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = j**3 - j**2 + 1. Let l(c) = 6*c**3 - 3*c**2 - c + 3. What is -l(v) + 3*y(v)?\nAnswer: -3*v**3 + v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 88*b = 127*b - 156 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Product of -10.592 and -137.\nAnswer: 1451.104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find w, given that w**3\/3 - 3224*w**2\/3 + 2410429*w\/3 - 5571790 = 0.\nAnswer: 7, 1162, 2055","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 18*d**3*k**2 + 109*d**3 + 2*d*k - 6*k**2 wrt k.\nAnswer: 36*d**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -31*s**2 - 3*s**4 + 6*s**4 + 27*s**2 - 10*s**3 + 4*s**3 + 10*s**4 to l*s**2 + z*s**4 + y*s**3 + i*s + a and give z.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t = 249*q - 243*q + 15, 0 = q + 4*t - 8 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 9713\/15360 - -1\/1024. Let u be (3 + (0 - -3))*(-1)\/3. Calculate the common denominator of (-11)\/10*u - 48\/(-72) and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (3\/(-2))\/(((-1)\/(-6))\/(444\/222))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of -3 + (-12)\/((-12)\/1981)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 + 6 + -15 - -12) + (44 - 4) + 5.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (56\/(-32) + 1)\/(63\/24).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 908472?\nAnswer: 2, 3, 37853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4065846?\nAnswer: 2, 3, 173, 3917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is r in 2*r**5\/13 + 414*r**4\/13 + 15786*r**3\/13 + 83754*r**2\/13 + 120204*r\/13 = 0?\nAnswer: -159, -42, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7537 = -14*q + 723. Suppose y = -9*y + q. List the prime factors of y.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -134\/3 - -45. Which is smaller: n or 1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-12)\/8 - -1)*2. Let o be h*(-6)\/(-4 - -7). Suppose o*m - 1346 = 28. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lvvv when four letters picked without replacement from {l: 7, t: 9, v: 3}.\nAnswer: 7\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2\/955593 - -18156275\/3822372. Factor -17\/8*k + z - 1\/8*k**2.\nAnswer: -(k - 2)*(k + 19)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -1 (base 13) to base 8.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = 1 - -2. Suppose p + n + 3 = 0. Let b be p\/15*15\/18. Sort b, 4, 2\/3 in ascending order.\nAnswer: b, 2\/3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the second derivative of -3*u**5\/20 + 5*u**4\/6 - 2*u**3\/3 - 4*u**2 - 55*u - 1. Determine s so that t(s) = 0.\nAnswer: -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + 4*b - 3640 = 0, -1169 + 265 = -i + b. Let s = 13 + i. What is s rounded to the nearest one hundred?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2722 + 905 + 907 = -91*u - 910. Let d = 20 + -36. Suppose k = -4*j + 12, 4*j + 9 = 5*k - 3. Sort u, k, d.\nAnswer: d, u, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = -l**2 + 11103*l - 319. Determine z(0).\nAnswer: -319","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -2*r + 14. Let p be o(5). Let k = -14 - -17. Suppose -w = p*u - 2*u - 31, -u - k*w = -3. Calculate the greatest common factor of 45 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 14 divide 31811948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 0.1268 times -3.6\nAnswer: -0.45648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {f: 3, j: 15}. What is prob of picking 1 j and 1 f?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.7 (b) -1\/16 (c) 0.4 (d) 5\/63\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 94423?\nAnswer: 7, 41, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*n = -v + 2 + 7, 4*v - 3*n + 24 = 0. Let r be v\/((-21)\/(-15) - 2). Let s = 6 - 5.8. Which is the closest to -0.3? (a) s (b) r (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (279\/(-155))\/((-6)\/(-1)).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) be the first derivative of -k**3\/27 - 16*k**2\/3 - 1904*k\/9 + 137. Factor r(y).\nAnswer: -(y + 28)*(y + 68)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4 - (-330)\/(-80))\/(7 - 6) + (-135)\/(-1272)?\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 55 - (3 + 2) - 114?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o be 0 + (-42358)\/(-78) - 0. Let u = o - 543. What is the second smallest value in u, 3\/7, 4?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 3*o = -i + 5, 3*o - 5 = i. Suppose 2 = -o*f + 3*f. Is f\/(-2) - (1 + -76) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -15 + 12. Does 14 divide 2*140\/8 + x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 77.04165 grams to tonnes.\nAnswer: 0.00007704165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 16 = -3*g - g, 17 = l - 3*g. Suppose -5*i - 4*a + 54 = -l*i, 4*a = -5*i + 98. Let d = i - -5. Is d a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = -15*u + 17*u + 87*u - 4 - 29*u. Let v be n(-1). Let x = -45 - v. Calculate the remainder when 72 is divided by x.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve w + 12*w = 65 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17*v + 14 = 2*a + 21*v, -3*v = 4*a - 38. Solve 0 = 5*u - b + a, -3*u + 2*b + 14 = -5*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be 5 + -1 - (0 + 1). Suppose -33 = -3*d - q. What is the greatest common divisor of 50 and d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2759134?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 123167*j - 4 + 4 - 123169*j.\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or 466.8?\nAnswer: 466.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Does 1532 divide 669443586?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 121*x - 117*x - 2432 = 0. What is the greatest common factor of x and 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1 + ((-182)\/(-13) - 18). Let s = -88 - -52. Which is smaller: r or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 124278 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: Is 28\/1667 <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -129 or -123?\nAnswer: -129","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.7 + 3.7. Let p(s) = -s**3 - 8*s**2 + 10*s + 10. Let v be p(-9). Let l = -45579.8 - -45580. Which is the closest to l? (a) -0.3 (b) n (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 592398270?\nAnswer: 2, 3, 5, 2081, 3163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1714538 divided by -4.\nAnswer: 857269\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 196113 to the power of 1\/2, to the nearest integer?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/5, -2, 0, 0.5, -2\/35 in descending order.\nAnswer: 0.5, 0, -2\/35, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of -2735484, -2735482, -2735480, -2735478, -2735476?\n\"Answer: 2*p - 2735486","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l be -5 - ((-105)\/10 + 9\/6). Factor 0*t + 56\/11*t**3 + 0 - 98\/11*t**l - 8\/11*t**2.\nAnswer: -2*t**2*(7*t - 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 46 divide 2455020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) be the first derivative of 13*j**2\/2 - 13*j + 61. Let w be -1 + 1 - 0 - 7. Let m(d) = 9*d - 9. Determine w*m(i) + 5*k(i).\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1 - 0. Let t be (4 - 3)\/(9\/18). Is t at most as big as l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of 11210 and 0.5.\nAnswer: 11210.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2204 + 2202. What is the closest to 0.1 in 0, r, 56?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1758591.3 to the nearest ten thousand.\nAnswer: -1760000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express 7*p**3 - 7*p**2 + 7*p**2 + (3*p - 2 + 2)*(-3*p**2 + 2*p**2 + 2*p**2) as g*p**3 + r*p + j*p**2 + t and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 10066504 a multiple of 56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Round 40.407749 to one dp.\nAnswer: 40.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s = 95 + -96. Let y = -6355\/9 + 697. Let j = 80\/9 + y. Which is the third biggest value? (a) s (b) j (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 f and 2 i when four letters picked without replacement from {f: 2, m: 2, i: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -75 - -74. Let t = q + 3.48. What is t rounded to one dp?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -14.8 + 19.8. Let v = 0.3 + -0.1. What is the closest to 2\/7 in -1\/5, v, r?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 0 + 0*o - o**2 + 1\/2*o**3.\nAnswer: o**2*(o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 5\/9? (a) -88558 (b) -3 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = -1731*d + 747. Is 21 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -19*i - 276 = -42*i for i.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -204 - -202.31. Let f = h + 1.504. Let v = f + 0.428. Round v to two decimal places.\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 1, s: 1, o: 2, v: 5, p: 1, r: 3}. Give prob of sequence xr.\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1946 divided by 973.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = 4*v - 8, 13 = 3*v - 25*y + 21*y for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -35*y = -65*y + 62*y - 192 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((14 - 2) + -14 - -9) + -2 + 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**2 - 12*o - 10. Let j be x(-11). Let l = j + -1. Suppose 0*h - 3*h + 429 = l. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 6 divide 18156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m + 139 - 149 = 16*i, -5*i = 5*m - 0*i - 10 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 1126398297230 + 43\nAnswer: 1126398297273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103237 - 7688 = 17*u - 32546. Does 137 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1 - -12*(-10)\/105. Let c = 6 - 6.1. What is the closest to 0.2 in -3, v, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 4154 is divided by 130?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -10523 (base 14) in base 12?\nAnswer: -1a997","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 9 + -820?\nAnswer: -812","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m(u) = 2*u**2 + 3*u + 1. Let g(l) = -5*l**2 - 10*l + 2 + 2*l - 5. Suppose 4*w = -0*d + 3*d + 20, w - d = 4. Give w*m(j) + 3*g(j).\nAnswer: j**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = -5*f + 10. Let n(u) = 5*u - 9. Let g(r) = 6*n(r) + 5*s(r). Determine g(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68b70 (base 14) in base 2?\nAnswer: 111110001011101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 4:06 PM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 3123111 - 11?\nAnswer: 3123100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j = -4 - -51. Let h = -29 + j. Does 9 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be -8 - (-16 - -3) - -6. Solve 9*f + 25 = -d for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 43 - -69. Calculate the highest common divisor of 14 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-38)\/(-18) + (-46)\/414. Solve 8 = 2*r + c*a, a - 7 = 2*r - 4*r for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 39 and 101994.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:19 PM and 1:58 AM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -q**4 - 49*q**2 + 147*q - 1 wrt q.\nAnswer: -12*q**2 - 98","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.03 - -2.03. Let w = a - -1. Let m = -50 - -55. What is the second smallest value in w, -0.5, m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1\/3)\/(2\/30). Suppose -p*h + 24 = -h. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:00 AM and 11:28 AM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (2 - -14) + 2 + (52 - 40) + -11?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v*v**0)*v)**(-1\/16)*(v\/(v*v*v**(1\/5)))\/v**(-1\/4) assuming v is positive.\nAnswer: v**(-81\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 72915154?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 f, 1 t, and 1 z when three letters picked without replacement from {t: 1, f: 1, z: 2}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-4)\/48)\/((-6)\/(-12)). Put 3\/8, c, -2\/31, 4 in descending order.\nAnswer: 4, 3\/8, -2\/31, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -28 + 32. Suppose -p*v = v + 125000. Round v to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 1\/(-4)*3336\/420 - -2. Which is the third biggest value? (a) -1 (b) -2\/7 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -413158623210.300046 - -413159158481. Let j = p + -535268. Let u = 2.7 - j. What is u rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 o when two letters picked without replacement from {i: 2, w: 1, z: 1, h: 1, m: 2, o: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o be 4\/8*(-1 + -13). Let v = 22 + o. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.058 + 0.049. Let q = -0.207 + s. What is the second smallest value in -3, -1\/4, q?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -h - 352, 287 = 3*p + h + 16. Solve 23 = -4*t - p*v + 90*v, -4*v + 2 = 2*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((a*(a\/(a*(a\/((a*a*(a*(a\/a**(-1\/4))\/a*a)\/a)\/a))\/a*a))\/a)\/a**(-5))\/((a\/(a\/a**(-3)*a*a*a)*a)\/(a\/a**(-5))))**(15\/8))**(-21) assuming a is positive.\nAnswer: a**(-21735\/32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 505 = 9*p - 3590. Does 15 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {f: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let g = -18.247882 + 18.272. Round g to 3 decimal places.\nAnswer: 0.024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -0.309396 and 102 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put -2.52, -4, 0.7 in ascending order.\nAnswer: -4, -2.52, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 855.\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 8*h**3 - h**4 - 8*h**3 + 0*h**4 + 2*h**4 - 4*h**4 + 3*h**3 - 3*h**3 - 2*h**4 + (h - 3*h + 3*h)*(6*h**3 - 2*h**3 - 3*h**3) + h**4 + 0*h**4 - 4*h**4.\nAnswer: -7*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4047\/8 - -505. Let i be 4 - (-4)\/(7 - 3). Suppose -b = w - 5, -i*b - 4*w + 11 + 9 = 0. Is b at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -141261 + 92657. Let d = -48604.600016 - b. Let j = d + 0.6. What is j rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the second derivative of 667*r**5\/20 + 71*r**4\/12 - 10*r**3\/3 + 2381*r. Find the third derivative of a(s) wrt s.\nAnswer: 4002","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -5, 9063, -2 in decreasing order.\nAnswer: 9063, -2, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:02 PM and 6:20 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 385 + 244 = 72*q + 197 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find p, given that 3*p**2\/8 + 3381*p\/4 - 6765\/8 = 0.\nAnswer: -2255, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Determine r, given that 4*r**2\/3 - 1400*r + 16736\/3 = 0.\nAnswer: 4, 1046","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + -6 + (102 - 99) + (0 - -7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*g**2 + 36738154323084 - 36738154323084.\nAnswer: -17*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-28)\/(-6)*14\/84*-9.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = -3*w + 2*g + 2, 2*g = w + 1. Let y be 2\/(-41)*w\/(-184). Let s = y - 91469\/7544. Find the common denominator of -61\/2 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 19.8 + 0.7. Let k = o + -10. Let z = k + -10. What is the third biggest value in z, -3, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 548092.\nAnswer: 2, 263, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 0, 7, -4, -3.\nAnswer: -4, -3, 0, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 289 - 259. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -951 = -c + u, 5*c - 61*u + 65*u - 4818 = 0. Is c a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1324 - -18) + 13 + -4.\nAnswer: 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:21 AM and 4:03 PM?\nAnswer: 462","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -5521 (base 9) to base 6\nAnswer: -30501","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-2)\/8 - 9\/(-4). Let z(w) = -6 - 3 + 7 + 3*w. What is z(o)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -1191*x + 1188*x - 3*t, -3*x - 4*t - 3 = 0 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is -23539 bigger than -23535?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 17673 and 1686333?\nAnswer: 411","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*d = -31. Suppose 2*z + 1 = -d. Let b = z + 26. What is the greatest common divisor of b and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a micrometer in nanometers?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**2 + 7*y - 1 + 1. Let q be (4 + (-65)\/15)*-15. What is t(q)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -25*g**2 - 4752*g - 468. Calculate r(-190).\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -5278\/3 - -1673. Let y = 87 + s. Which is the nearest to y? (a) 3\/5 (b) 1 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -21 = d - 5*t, 3*t - 14 = -4*d + 17. Let o be (-4)\/3 - 2\/(-6). Let g be -4 + 1\/(0 - o). Sort d, g, -5.\nAnswer: -5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*u = 2*n - 15 - 9, 4*n + u - 69 = 0. Calculate the common denominator of 1\/6 and (244\/n)\/((16\/(-3))\/1).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292\/(-365)*(-15)\/(-42)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f + 6 = 3*w, 88*f - 83*f + 14 = -w for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -138, -133, -124, -111?\n\"Answer: 2*i**2 - i - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 321474345?\nAnswer: 3, 5, 21431623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express (-662*h + 662*h + 1198*h**3)*(2*h - 6*h + 5*h) as m*h**2 + q*h**3 + a*h + k + v*h**4 and give v.\nAnswer: 1198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Round 500 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 34*o**2 - o**4 + o**2 - 6*o**3 - 47*o**2 + 11*o**3 to s*o**4 + m*o**3 + w*o + h*o**2 + l and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 5:26 PM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round 0.02042 to 3 dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 330 divide 332974950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 101145.9 rounded to the nearest 1000?\nAnswer: 101000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w = -33016 + 64863. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41 = -5*k + 104. Suppose -3*z + 5*t - k = -5*z, -4*t = 4*z - 28. Suppose -5*h = 2*j - 82, 3*j = -z*h + 64 + 48. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 127065 (base 8) to base 2.\nAnswer: 1010111000110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*j - 4*k - 266 = -105, 0 = j + 5*k - 38. What is the remainder when 624 is divided by j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -4 and -60.708.\nAnswer: 242.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + q - 26 = -4*q, 3*x + q + 5 = 0. Let n = x - -7. Which is the third biggest value? (a) n (b) 3 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = -w**3 - 9*w**2 + w + 12. Let z be x(-9). Let i(g) = g**3 - 2*g**2 - 3*g + 6. Calculate the remainder when 22 is divided by i(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-10 + 10 - (-12)\/(-30))\/2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*i - i + 3. Let h = 5 + -2. Let s = h + i. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (4 - 0 - (-893)\/(-235)) + 0. Let h = -404 + 735. Let n = -6953\/21 + h. What is the biggest value in 3\/5, u, n?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -449, -1763, -3943, -6989, -10901, -15679?\n\"Answer: -433*k**2 - 15*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*u**5 - 6*u**4 - 69*u**3 + 72*u**2 + 432*u.\nAnswer: 3*u*(u - 4)**2*(u + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 932 divided by 233?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 688 is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1433.72170387 + 0.8.\nAnswer: -1432.92170387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) be the second derivative of -3*m**5\/10 - m**4\/4 - 2*m**3\/3 - 5*m**2\/2 + m. Let k be d(-2). What is the highest common factor of 13 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 602277 (base 14) to base 11.\nAnswer: 1908a47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 28 divide 155 + 20\/(1 - -4) + -5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (40*1)\/(4\/1382638). Let b(i) = 1656594*i + 4. Let k be b(4). Let c = k - p. What is c rounded to the nearest one million?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 562 + -559. Let k = -4 + 10. Let a = -9 + k. Sort c, a, 4, 0.3.\nAnswer: a, 0.3, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 y when two letters picked without replacement from xgjyxjxggggyjjgjggjj?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be 80\/14*(-7)\/(-2). Calculate the greatest common divisor of n and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1201 (base 3) to base 13\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 28 + (-2 - (3 - 19 - -18))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6789950 and 250?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let m = 43 + -33. Calculate the lowest common multiple of 7 and m.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 9) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9 = c - 43. Let o be 66\/(-120) + -4 + c\/10. Which is smaller: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 548592586?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let r(w) = -10*w + 20. List the prime factors of r(-10).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + y - 3*m - 69, 5*m = 2*y - 49. Let q = -21 + y. Find the second derivative of -q + 7*b - 10*b**5 + 1 wrt b.\nAnswer: -200*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 503306, 1006619, 1509934, 2013251?\n\"Answer: m**2 + 503310*m - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) be the third derivative of 9*b**7\/5 - 38*b**3 + 115*b**2. Differentiate d(l) with respect to l.\nAnswer: 1512*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:16 AM and 8:20 AM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a = 7895 + 14688. What are the prime factors of a?\nAnswer: 11, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.31, -4\/3, -78, 3 in descending order.\nAnswer: 3, -0.31, -4\/3, -78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o be 2*(-6)\/(-9)*12. Suppose -12*b + o*b - 8 = 0. Solve -10 = -l - 5*p, 2*l + 8 = -b*l + 4*p for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -7*v**2 - 314*v + 688. Determine g(-45).\nAnswer: 643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1899? (a) 1\/4 (b) 1\/5 (c) -1 (d) 0 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = -2*a**2. Let h be -7 - -5 - (-7 - 0). Let d(w) = -w + h*w - w - w. Calculate d(v(z)).\nAnswer: -4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: ((-16)\/(-14))\/((48\/(-28))\/(-2))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:17 PM and 2:34 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/5*k**2 + 18\/5 + 12\/5*k.\nAnswer: 2*(k + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 5*k + 2*r + 6, 0 = 5*k + 19*r - 14*r + 15 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1771871, 1771869, 1771867, 1771865?\nAnswer: 1771863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 317 divided by -317\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 82 is divided by 25?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 2*y - 6. Let w(i) = 4 - 2 - 1 - 3. Let g(f) = -1. Let n(c) = -g(c) + w(c). Calculate -h(v) + 5*n(v).\nAnswer: -2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j = 3*k - 136, -2*j + 96 = 16*k - 14*k. What is the highest common divisor of k and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1099363 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 610680 and 16.\nAnswer: 1221360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = 307*d - 33. Is u(10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/(-21) + (-64)\/28. Calculate the common denominator of 85\/14 and (6\/108)\/(r\/(-3)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 225, 470, 711, 948, 1181, 1410?\n\"Answer: -2*g**2 + 251*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -3 - ((3 - 9) + 2) - 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2317\/1860 - 2\/465. What is the second biggest value in -516, -3\/7, h, 0.3?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4218, -4135, -4002, -3825, -3610, -3363, -3090?\nAnswer: -2797","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = -2*l + 2. Let g(q) = -q**2 + 12*q - 22. Let o be g(10). What are the prime factors of i(o)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = -2*b**2 + 10*b - 60. Let j be y(-16). Let a = 738 + j. Let p = -1 - -5. Calculate the greatest common factor of a and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (16*z**4 - 4*z**4 + 14*z**4)*(-2 + 3 + 0) + (5*z**3 + 51*z - 51*z)*(-1 + 2 - z + 1).\nAnswer: 21*z**4 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -39780 + 39783. Find s such that 18\/7*s**2 + 2\/7*s**m + 0*s + 0 = 0.\nAnswer: -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 39\/247*1178\/279?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1b005 + -2?\nAnswer: -1b007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-31188)\/(-18193)*1\/2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let -p**4 + 6696366*p**3 - 11210309312373*p**2 - 67262036676228*p - 100893145415364 = 0. Calculate p.\nAnswer: -3, 3348186","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.61 - -0.559. What is s rounded to 2 dps?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 98 minutes before 5:04 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 4*w**5 - 2*w**5 + 3*w**5 + (0 - 2 - 3)*(-w**5 - 4*w**5 + 3*w**5) + 3*w**5 + 0*w + 0*w.\nAnswer: 18*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Are 394770 and 193 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -7761 = 63*f - 9147 for f.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -99 + 114 + -9 + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l be (1 - -11)*3\/6. Suppose 0 = -6*m + 4*m + l. Does 21 divide (8 - -1)\/(m\/14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 55370000 rounded to the nearest 1000000?\nAnswer: 55000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let k = 250.0000201 - 250. Round k to 6 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.1 + 0.1. Let d(f) be the second derivative of -2*f**3 - 32*f**2 - 76*f + 2. Let o be d(-3). Which is smaller: o or y?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 432 (base 10) in base 5?\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(a) = a**3 - 7*a**2 - 7*a + 34. Let q be g(7). What is the units digit of -3 - 308*q\/6?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -185 + 190. What is the second derivative of 7 - 55*f**2 + 14 - 28 + s + 31*f wrt f?\nAnswer: -110","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -1, -61, -33, 2, 4 in increasing order.\nAnswer: -61, -33, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*l = -2*r - 18, 0 = -4*l - 5*r - 14 + 3 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is (-2187)\/(-15) + -3 + (-4)\/(-20) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2167 at least as big as 1706?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 - 8*q + 9. Let b(h) = -2*h - h**2 + 2*h + 2*h - 6 + 5*h. Suppose -r = l, -8*l - 8 = 3*r - 3*l. Let f be b(r). Determine w(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = -2*h**2 + 8*h - 7. Let w(r) be the second derivative of -r**4\/12 + 2*r**3\/3 - 2*r**2 + 69*r. What is -4*a(i) + 7*w(i)?\nAnswer: i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -89, 2, 7230 in descending order.\nAnswer: 7230, 2, -89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 + 17 = -4*k. Let p = 11 + k. Suppose p = -2*l - l + 18. What is the remainder when 16 is divided by l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be ((-75)\/12 + 6)\/1. Which is the fourth biggest value? (a) 4 (b) 5\/2 (c) h (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -17\/282570 and 127\/508626?\nAnswer: 2543130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 6460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = m**3 + 4*m**2 - 14*m. Let l be b(-6). Suppose -3*j - 32 = -4*v + l, -30 = -3*v + 3*j. Does 14 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 5*l**2 - 2*l + 2. Let s be h(1). Let b be (s\/(70 - -5))\/((-1)\/(-2)). Let k = -0.11 + 5.11. What is the nearest to 0 in -0.3, k, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r + x + 15 = 0, -5*x = 4*r - 0*x + 3. What is the third derivative of 6*j**3 + 12*j**2 - 20*j**2 + 6*j**3 - 50*j**2 + 12*j**r wrt j?\nAnswer: 144","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/90 and 57\/40?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sum -282.9 and 15.5928.\nAnswer: -267.3072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:05 AM and 9:38 AM?\nAnswer: 33","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(k) = 225*k**2 - 450*k**2 + 223*k**2. Let n be c(0). What is the nearest to -7\/4 in -1, 5, n, 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 91831 and 7?\nAnswer: 91824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(x) = -6*x + 5. Let k(l) = 7*l - 6. Let p = -599 - -594. Determine p*k(m) - 6*n(m).\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 8 = -3*m, 0*m - 14 = -3*m + 4*k. Let u be -3 + 9\/(1 + m). Solve 0*n - n = u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 - (-2 + -1 - (2 - 8) - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3808 = -15*o + 7*o. Let d = o + -474. Solve -4*x - a = -3*x + d, x - a + 2 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 3*a - 0. Suppose 0 + 8 = a*q. Let m be ((-6)\/(-8))\/((-2)\/(-8)). Solve -m*f = q*n, 4*n - f - f = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 5047?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 56*g = -40*g + 37*g + 1062 for g.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = -30561 - -30561.000013321. Round r to 7 decimal places.\nAnswer: 0.0000133","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 27 by 68664.\nAnswer: 9\/22888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -16*h - 33. Let d(q) = -60*q - 130. Let p(j) = -6*d(j) + 23*r(j). Give p(7).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(l) = l - 10. Let m be t(12). Let g(x) = 15*x. Let k be g(m). Suppose -3*q = -4*q + k. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 44*n**3 + 37*n**3 - 2 - 5 + 0 + 4*n in the form m*n**3 + v + x*n + o*n**2 and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - 0 - 5 - (-47 - -35).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (sqrt(19) + sqrt(19)*3 + 3 + sqrt(19))**2.\nAnswer: 30*sqrt(19) + 481","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from ltbtsblbbblbssl. What is prob of sequence bsbt?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 254, 288, 322?\n\"Answer: 34*k + 220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d be 6\/(-7)*(-14)\/4. Suppose 5*t - 3*h = -0*t + 526, 4*t + d*h = 437. What is the remainder when t is divided by -1*(-1 + -1) + 25?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 438298529.\nAnswer: 1307, 335347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o be (10 - -6)*(-3 + 15\/6). Let k be -2200*(-100)\/8*o\/5. What is k rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 38903789 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that z**3\/5 + 117*z**2\/5 - 5596*z\/5 + 15708\/5 = 0.\nAnswer: -154, 3, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = x**3 - 6*x**2 - 6*x - 10. What is q(7)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 1854009 a multiple of 423?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -2*m**3 - 5*m**2 + 3*m - 4. Let v(n) = 3*n**3 + 4*n**2 - 4*n + 4. Let w(g) = -4*d(g) - 3*v(g). Let c be w(8). Solve 3 = c*k - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 19206?\nAnswer: 2, 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 888854.\nAnswer: 2, 353, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1613 or -249?\nAnswer: 1613","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*(sqrt(1584) + 6*(sqrt(1584) + (sqrt(1584) - (sqrt(1584) - -1*sqrt(1584)))))**2 - ((sqrt(88) + (sqrt(88)*-2*-5 - sqrt(88)))\/(sqrt(32)*1))**2.\nAnswer: 7645","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 10343047 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2 + -1 + -1 - -2. Let s(r) = 2*r - 5. Let t be s(8). What is the common denominator of -145\/6 and (c\/8)\/(t\/(-26))?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -188, -1352, -4494, -10604, -20672, -35688, -56642, -84524?\nAnswer: -120324","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 186.77 + -187.07. Which is the closest to -4? (a) 187 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -5 - -6. What is the third biggest value in y, -4, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ukuw when four letters picked without replacement from ftwkuuuu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -3795 = -54*x + 3*y, 650 = 9*x + 1129*y - 1133*y for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 18+6681297.52\nAnswer: 6681315.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 2 + -2. Suppose -42*a = -50*a. Let f be i*(-3 + a + (-20)\/(-6)). Sort -1, f, -5 in increasing order.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5 - 5. Suppose z = -5*g + 536 - 61. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 159503 by 6.\nAnswer: 159503\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 21 a factor of 23863?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j = 3.01798 + -0.01798. Let r = 68\/3 + -70\/3. What is the third smallest value in j, 1\/5, r, -0.3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21a47 (base 16) in base 3?\nAnswer: -21000000200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1202646 and 0.2.\nAnswer: 240529.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*s - 4*s + s)*(5 - 4 + 1)*(9*s - 43*s + 62*s).\nAnswer: -336*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3 + -2 + 16 + 1. Let y = 18 - h. What is the third biggest value in -3, y, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**3 - 3*s**2 + 3*s + 4. Let k = 15 + -12. Let w be i(k). Calculate the greatest common factor of 13 and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5\/((-15)\/378)*-1 - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.117, -5, 1261.8?\nAnswer: 0.117","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 250969 is divided by 5975.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20, 17, 14, 11, 8, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3457743399732 take away -5?\nAnswer: -3457743399727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 2\/511, -19\/4, -10\/7?\nAnswer: 2\/511","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -u**2 - 2*u**2 + 2*u**2 + 2*u**2 + 2. Determine a(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 8 - 8.33. Let x = -1.03 - -1. Let r = i - x. Sort -3\/2, r, 0.1 in increasing order.\nAnswer: -3\/2, r, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - r = 18, 4*k - 3*r + 4 = 42. Let s be 2 - 0 - -1 - k. Is (10\/(-6))\/(4\/(s - 1063)) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -2 + (8 + 1 - 1). Let t(b) = b**2 - 3*b - 6. Let r be t(-2). Suppose -5*z + r*j = -1500012, 3*j - 9 = o*j. Round z to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 3365032 (base 7) to base 3\nAnswer: 210022110111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 3\/((36\/381)\/4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 13\/4 of a day?\nAnswer: 4680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -34514 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 330820357.\nAnswer: 7, 17, 47, 59149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*p - 8*p + 5344 = 0. Let n = p + 73. Suppose -n + 84 = -3*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = -7*c + 3*f + 63, -5*c = -5*f - 65. Suppose 4*z + z - c = -2*o, -o = z - 3. Suppose 0 = -2*b + 7 - o. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 366.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -72842 or -72841?\nAnswer: -72842","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 6321320 divided by -1580330.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-3)\/(-1)*5\/(-165).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -11 at most as big as -252?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1607724767\/3384 - 475096. Calculate the common denominator of z and 13\/5640.\nAnswer: 16920","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 322511 to the power of 1\/2, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 416 and 260?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -259*y + 225*y + 374 = 0 for y.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -1 + 35*o**2 - 32*o**2 + 24*o**2 to the form l*o**2 + h + b*o and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhtsohohoghgtohgs. What is prob of sequence oh?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 960853 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 587 minutes before 9:29 AM?\nAnswer: 11:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h = -107 + 444. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 4 (b) -2808 (c) 16 (d) 0.1 (e) -0.711\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is (-4 - -6 - 2)\/6 - -514243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 2*r - 97. Determine j(45).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is -10 - 260\/(-25) - (-1800)\/(-5125)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -3.0238 - -0.0238. Sort 0.15, 2\/3, i in descending order.\nAnswer: 2\/3, 0.15, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5513696249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 11, 10, 9, 8, 7, 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x and 1 g when two letters picked without replacement from xyxg.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j\/(j**(-4)*j))\/(j\/(j\/j**7)*j))**(-2\/27) assuming j is positive.\nAnswer: j**(8\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 226*p - 222*p + 3*n + 10 = 0, -2 = -4*p - n for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 2 - -421?\nAnswer: 423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let f = 193 + -192.9999623. What is f rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -112, -23211, -3 in descending order.\nAnswer: -3, -112, -23211","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 85078.\nAnswer: 2, 7, 59, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 244 minutes before 6:06 AM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y be 2*5\/(-10)*(-3)\/(-3). Let r(n) = 3*n**3 - n - 1. Determine r(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -3.6 - -1.6. Is 25 > q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(-5*(sqrt(3) - sqrt(75)*-5 - sqrt(24)\/(2*sqrt(8))) + (6*sqrt(36)*-3)\/(sqrt(300)*1)))**2.\nAnswer: 46405467\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 134497.\nAnswer: 11, 12227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 28866 and 1572?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6*p + 227*p**4 - 2*p**2 + 2*p**3 - 2 - 224*p**4 - 3*p**3 to the form y + v*p**3 + n*p**2 + s*p + b*p**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.267567114 rounded to five decimal places?\nAnswer: 0.26757","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -15*c - 1 - 20*c + 11*c**3 - 16*c + 54*c to k*c**3 + u + m*c + j*c**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i - 5*y + 12 = -6, 0 = 5*i - 2*y - 16. Let g(b) be the second derivative of b**3\/6 + 5*b**2\/2 + 2*b. What is the units digit of g(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, -0.21, 7, 2\/5 in ascending order.\nAnswer: -0.21, 2\/5, 4, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20526856 to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:27 AM and 5:24 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2? (a) -140 (b) 5\/3 (c) 0.5 (d) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 158 divide 244589?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -860 + 831 - (-57 - 2) - -17?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 34313, 68626, 102939, 137252, 171565, 205878?\nAnswer: 240191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-17 + (8 - -8))*(1 - 10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence cg when two letters picked without replacement from {c: 4, g: 2, d: 1, f: 2}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 121291719 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 543606 and 5418?\nAnswer: 1630818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -19 times -765\nAnswer: 14535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = -11 - -18. Let n = 14 - v. Suppose -w - 3*s - 9 = 0, 5*w - s - 26 + n = 0. Calculate the least common multiple of 3 and w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 plus 4092045808?\nAnswer: 4092045808.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-20)\/9 + (-1 - (-44)\/36).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -7 (base 13) in base 7?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + 111301203213?\nAnswer: 111301203213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1479281?\nAnswer: 1479281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from djnynfy. What is prob of picking 2 n and 1 f?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:12 PM and 12:29 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 73*u + 33656*h = 33654*h + 361, -u + 25 = -10*h for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -8*c**2 - 1585*c + 29789 wrt c?\nAnswer: -16*c - 1585","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(-5) + 296\/40 + -3. Suppose -5*o = y - 15, 4*o - 5*y + 25 = 8. Solve 0 = -o*m + x*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when ((-52)\/16)\/((-2)\/64) is divided by 35?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 61 and 292?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:28 AM and 7:39 AM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Round -4540.568 to the nearest one hundred.\nAnswer: -4500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: (-20*22\/(-55))\/(-1*6\/12)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 4:02 PM?\nAnswer: 9:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(243) + sqrt(243) + (sqrt(243) + 1 - sqrt(243)) + 2 + sqrt(243))**2 + sqrt(3) + (sqrt(192)*-2)**2 + -1.\nAnswer: 163*sqrt(3) + 2963","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f + 3. Let b(k) = 2*k. Let w be b(4). Let z(m) = -m**2 + 8*m + 7. Let c be z(w). What is the tens digit of g(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*b**4 + 3*b**5 - 10*b**4 - 2*b**2 + 19*b**4 + 7*b**3 - 10*b**4 = 0. What is b?\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -109\/12 and -95\/72684.\nAnswer: 72684","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 49 and 35.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -4187908, -4187909, -4187910?\nAnswer: -4187911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 - 1. Suppose 0 = k + 4*c + 4, 2*k + y*k - 5*c = 5. Suppose 0*f + 4*f - 76 = k. Is 19 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the first derivative of -5*x**3\/3 - 3*x**2\/2 - 2*x + 295. Let o(i) = 3*i**2 + 2*i + 1. Give 7*o(w) + 4*r(w).\nAnswer: w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 100*o + 6*o**4 - o**4 - 8*o**3 - 2*o**3 + 38 - 98 - 35*o**2 = 0. What is o?\nAnswer: -3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 113396111681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 4, 1\/5, 338, -5, 3, -0.9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -57*j + 41*j - 5520 = 0. Let d(u) = -60030*u - 345. Let l(v) = 349*v + 2. Let i(g) = j*l(g) - 2*d(g). Let z(x) = -x. Calculate z(i(f)).\nAnswer: 345*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 PM and 7:02 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5324)\/1452)\/(-1 + 4\/3)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) be the third derivative of -l**5\/30 + 13*l**2. Let p(x) = -3*x + 6. Let y(f) = -7*f + 13. Let v(u) = -13*p(u) + 6*y(u). Determine v(k(s)).\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 920 and 1265.\nAnswer: 10120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Round -242207400 to the nearest 1000000.\nAnswer: -242000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let c(h) = 18*h**3 - 2*h + 1. Let f be c(1). Let x = 1319.4 + -1319. Sort x, -2\/3, f in increasing order.\nAnswer: -2\/3, x, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 2.836 + 0.064. Let p = j - 1.9. What is the biggest value in -4, -0.2, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -10*s**3 + 19 - 2*s**2 + 25 - 43 as w*s**2 + j + y*s + n*s**3 and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5 or -286234?\nAnswer: -286234","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 42 and 472506342?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) = -u. Let j(x) = 29*x + 3512. Let y be j(-121). Let k(g) be the third derivative of -43\/12*g**4 + 0*g + 0 - 7*g**2 + 0*g**y. What is v(k(a))?\nAnswer: 86*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1515 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = -1. Let p(l) = -l**3 - 8*l**2 - 13*l - 7. Let f be p(-6). Let v(n) be the first derivative of n**2 + 4*n - 5. Calculate f*v(i) - 5*o(i).\nAnswer: -2*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 108 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -2\/9, 1079, -4\/3?\nAnswer: 1079","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -2*g**2 + 42*g - 36. Let y be i(20). Solve 4*s + 3*b + 13 = -0*s, -2*b = y*s + 10 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*o + 0 - 3 + 0)*(-36*o + 1809 - 1809)*(-o**3 + 2 - 2).\nAnswer: 72*o**5 - 108*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Divide 106 by 489044.\nAnswer: 53\/244522","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -23*i + 66 = 43*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000571 rounded to 6 decimal places?\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -303\/5 greater than or equal to -62?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = 1 - 2*k + 5*k**2 - 6*k + 4*k. Let a be g(4). Let n(m) = m + 13. Let l be n(0). Calculate the highest common divisor of a and l.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) be the first derivative of -c**3\/3 - 3*c**2 - 4*c + 6. Calculate i(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 18\/5 of a century in months?\nAnswer: 4320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1287 or 1288?\nAnswer: 1288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of 74566, 146218, 217872, 289528, 361186?\n\"Answer: w**2 + 71649*w + 2916","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 11988 and 972?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let n be 3\/(-42)*-4*1. Let f = -14 + 27\/2. Which is the nearest to f? (a) -0.1 (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 0.3 + -0.8. Let j = -3.5 - h. Let t = 139 - 138. Which is the biggest value? (a) t (b) j (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = 2*g - 18. Let j be m(10). Suppose -4*n = 2*b - 3*b - 20, -b - 16 = -3*n. Suppose j*v - 33 = n*h + 69, 2*v = h + 99. Does 7 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*m = q - 3*q + 184, 5*m - 5*q - 230 = 0. What is the tens digit of (-1)\/4*-2*m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-213*y - 92*y - 21*y)*(2 + 2 - 3 + (-4 + 2 + 0)*(-4 + 3 + 3))*(-2 + y + 2) as s*y + b + r*y**2 and give r.\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 23901, 95603, 215089, 382353, 597389, 860191, 1170753, 1529069?\n\"Answer: -g**3 + 23898*g**2 + 15*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 3*f**4 + 0*f**4 - 8*f**2 + 4*f**4 wrt f.\nAnswer: 168*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10010 + 101110111110?\nAnswer: 101111010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000659757 to four decimal places.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(1\/2)*y**(1\/3)*(y**(-5))**(-1) assuming y is positive.\nAnswer: y**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**2 + 7*x + 699. Give u(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d + 1 = 16. Suppose 2*a + 3*v - 60 = -a, -5*a + 92 = d*v. Suppose 78 = h + 38. Calculate the highest common divisor of a and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w = -4*m - 5, w + 4*m + 2 = -7. Let h be ((-2)\/7)\/(2\/2). Is w greater than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*s + 20*s - 53*s + 42*s + 17*s.\nAnswer: 24*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15*f**2 + 869 + 880 - 1744.\nAnswer: -15*f**2 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -20*y - 12*y = -22*y. Solve -5*d + 3*h - 9 = y, -5*h - 3 = 2*d - 6*h for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.11, -1\/5956, -0.2, 5, 9 in ascending order.\nAnswer: -0.2, -0.11, -1\/5956, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 8717 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 68221 divided by -4013?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 322*m - 156*m - 166*m - m**2.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 23 divide 23150972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 43133 (base 5) to base 6\nAnswer: 21302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Put 48, 2\/117, -3, -0.02 in descending order.\nAnswer: 48, 2\/117, -0.02, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 71851?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let k be 80\/(-15) - -5 - (-2834)\/6. What is the units digit of 1\/((-12)\/k*1\/(-3))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -2*z**2 - 18*z - 4. Let l be f(-7). What is the common denominator of 9\/2 and 0 - ((-8)\/l)\/(2\/27)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -362.515 and -3?\nAnswer: 1087.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -27710 = 4*o - 4*t - 4386, 0 = 2*o - 4*t + 11666. Let u(j) = 491*j - 8. Let f be u(7). Let d = f + o. Round d to the nearest 100.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*i - 13*i - 61482 = -4*p, 0 = -i - 4*p + 20502. Suppose 20*t + 310 = i. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 16188 to the power of 1\/2, to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -256*d**3 - 308*d**2 + 7*d - 22216.\nAnswer: -1536*d - 616","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -68 divided by -5\nAnswer: 68\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose q - 5*q + d - 253 = 0, 0 = 2*q - 3*d + 119. Let h be -1 + 0 + -18 - 1. Let z be (q\/h)\/(2\/10). Calculate the highest common divisor of 4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -5*a - 5*a + 10*a**4 - 13*a wrt a.\nAnswer: 120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/(-27)*(-13)\/(-39)*27. Solve -q*v = -5*d - 29, 27 = 10*d - 12*d + 3*v for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1477 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q*q\/q**(-3\/20))\/(q\/(q*q**(9\/7))) assuming q is positive.\nAnswer: q**(481\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(416))\/(-5*(sqrt(2) + sqrt(8)\/sqrt(4))) - (sqrt(13) + sqrt(13) + sqrt(13) + sqrt(26)\/(sqrt(2) + sqrt(2) + 5*sqrt(2)) + (sqrt(832)*2)**2).\nAnswer: -3328 - 138*sqrt(13)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -1b0 (base 12) to base 3\nAnswer: -101020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 4*k + 0*k)*(1 - 28*k**2 - 1)*(3 - 4*k - 3).\nAnswer: -224*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 454?\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 2*w**2 + 5*w - 1. Suppose 4*x - 343 = 3*g, -5*x + g + 426 = -0*x. Let v be (8\/(-5))\/(17\/x). Let i(a) = -3*a**2 - 8*a + 2. What is v*c(s) - 5*i(s)?\nAnswer: -s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be (0\/((-4)\/(-4)))\/(2*-1). Suppose -3*n + 0*n + 282 = h. Suppose -92*a + n*a - 224 = 0. What is the greatest common divisor of a and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 465 - 375. Let b(j) = j**2 + j + 10. Let k be b(-7). Suppose -m + u = -22, -4*m - 6*u = -u - k. What is the highest common factor of s and m?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1367 is divided by 2295\/18 - -9 - (-5)\/10?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 = 4*m - 3*m. Let n(h) = -h**3 + 4*h**2 + 21*h - 7. Calculate the remainder when n(6) is divided by m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = -r**3 + 4*r**2 + 9*r + 14. Determine p(-4).\nAnswer: 106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1660940005?\nAnswer: 5, 19, 17483579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort -2\/9, 2, -3, -0.3, -2.5.\nAnswer: -3, -2.5, -0.3, -2\/9, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -263532 = -6430*b + 295878 for b.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 1171?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let i(z) = -33*z - 1. Let a be i(-2). Let m be (-13)\/26 + 158\/4. Let r = a - m. List the prime factors of r.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -7\/8 or 3209\/1634?\nAnswer: 3209\/1634","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -41*r = -426*r - 685 + 515 - 985 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -4*m**2 + 4. Let g(a) = 23*a - 32. Let f be g(13). Let q = f + -262. Let o(c) = -8*c**2 + 9. Give q*n(y) - 2*o(y).\nAnswer: -4*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -138, -324, -510, -696, -882, -1068?\n\"Answer: -186*r + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 12 and 192.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -29802.9981 rounded to the nearest ten thousand?\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2\/5 + (-574)\/35. Suppose 2*k = -5*o - 51, -4*k - 6 - 30 = 4*o. Let i = o - b. What is the remainder when 8 is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + sqrt(13) + 0 + sqrt(13) + sqrt(156)\/sqrt(192))**2 + -2.\nAnswer: -45*sqrt(13)\/2 + 1421\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 0 + 124?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 469481?\nAnswer: 29, 16189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 40*q - 1623 + 1623 to the form f*q + h and give f.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 317*t + 1071 = -137*t + 4703 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 614\/5 in 21\/8, 0.136, 1, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1969?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6512*h + 1279*h + 1308*h + 1291*h + 1297*h + 1299*h.\nAnswer: -38*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((16\/(-110))\/((-58)\/(-145)))\/2*(-72)\/(-12).\nAnswer: -12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 12 = 2*u. Suppose 0*b + 14 = u*q + 3*b, -2*q - 3*b = -4. Suppose -2*s - q*h = -17, 2*h = -s - 2*h + 10. Is 2 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from bjlabfbnjlnj. What is prob of sequence nl?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 7\/2 of a week?\nAnswer: 35280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -68 - (-81 - (38 + -81)).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 754996, 1509984, 2264972?\n\"Answer: 754988*t + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -7 + 1 - ((-4698)\/(-29))\/(-18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(1\/3))**(-1\/5)\/(x**5*x**(-1\/11)) assuming x is positive.\nAnswer: x**(-821\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.2 - -0.1. Let l = 633.518 - -0.482. Let h = 650 - l. What is the third biggest value in 1, b, h?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -17*b + 14*b - 29*b - 15*b.\nAnswer: -47*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2795425280?\nAnswer: 2, 5, 659, 1657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = -67 + 26. Let s = h + 39.8. Put -5, s, -2 in increasing order.\nAnswer: -5, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k + 229 = -3*m + 170, 0 = m + 7*k + 31 for m.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -2 - 5 - (-10 - -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the second derivative of -k**4\/12 + 3*k**3\/2 + 15*k**2\/2 - 2*k - 1. What is f(10)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 0.07 + -0.07. Let j = -8.44 - -8. Let w = j - -0.04. Put y, w, -1\/3 in ascending order.\nAnswer: w, -1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -1\/3653 (c) -39\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 2 - 3)*(-1 - 2 + 2)*(t + 0*t - 3*t) to v + s*t and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: 397 divided by -37087\nAnswer: -397\/37087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 88698?\nAnswer: 2, 3, 14783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*m + 18 + 2, -2*j = 3*m + 107. Let y = -43 - j. Suppose y*g - 1212 = 3*x, -6*x + x - 1206 = -3*g. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2\/15 < 58748?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 37362419 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let n(s) = -s**2 - 10*s - 13. List the prime factors of n(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 - (0 - 3\/(-12)). Let h = -153 - -193. Is x at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ritikikkrki. What is prob of sequence rk?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is next in 210, 710, 2072, 4728, 9110?\nAnswer: 15650","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -94, 7, 190, 431, 706, 991, 1262, 1495?\n\"Answer: -4*c**3 + 65*c**2 - 66*c - 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 764093 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -3, -198, 1, 4.\nAnswer: -198, -3, 1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let m be 2*-3 - (1 - 2). Let t(a) = a**3 + 5*a**2 + 4*a - 2. Let r be t(-2). What is the closest to 1 in 0.1, m, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -5*y**2 + 13*y + 12. Let m(z) = -14*z**2 + 38*z + 36. Let b(o) = -6*m(o) + 17*v(o). Let g be b(-8). Let w = 52 + g. List the prime factors of w.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.23 + 3.47. Let s = b - 8.66. Let t = s + 5. What is t rounded to 1 decimal place?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-7)\/14 + (-17)\/2*-3. Suppose 1 - b = -8*k. Solve -k - 7 = -5*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 54\/5 of a millimeter?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2309080, -2309078, -2309076, -2309074, -2309072, -2309070?\nAnswer: -2309068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 1 - 2*m)*(-5 + 2 + 2 + (6 + 7 + 8)*(-2 + 3 - 3) + (0 + 0 - 1)*(1 - 2 + 0)) + (-83 + 50 + 58)*(m + 0*m + m) + 2*m + 2 - 2.\nAnswer: 136*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qb when two letters picked without replacement from vqvvbvvvwwbqvv?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i, 1 c, and 1 g when three letters picked without replacement from egticem?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 684832883 to the nearest integer?\nAnswer: 881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 93683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13775 divided by 2251.\nAnswer: 13775\/2251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 + 130 = 4*i. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -3518000 to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l = -3 + 5. Suppose 7*f - 25 = l*f. Let p = 137 + -683\/5. What is the third biggest value in 4\/3, f, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {x: 1, n: 4, p: 2, d: 8, f: 1}. What is prob of sequence ndnd?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*w + 4*w - 2*w + (1 + 2*w - 1)*(-1 + 1 + 1) - w - 5*w + 4*w - w - 3*w + 2*w + (0 + 0 - 1)*(w + 1 - 1).\nAnswer: -4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is -72630.67 bigger than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 80 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 738.0926um to centimeters.\nAnswer: 0.07380926","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -1427 at most -1430?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be 1*-5 + -1 - (-180 + 173). Which is smaller: 4\/563 or z?\nAnswer: 4\/563","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 507 divided by -5?\nAnswer: -507\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-357)\/(-28) - 13) + 34\/8. Let t = 14 + -12. Solve -3*c = -z - 4, t*z = -2*c + b*z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -0.106 - -0.1194. What is h rounded to 3 decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7748 - ((-3)\/(6\/20))\/2.\nAnswer: 7753","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 113995.1 - -5.780828\nAnswer: 114000.880828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -31602 - 123634 + 497*d + 2*d**2 - 2073*d - 6*d**2 = 0. What is d?\nAnswer: -197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(288) - (sqrt(288)*-3 + sqrt(288)))*-1*-2)\/((sqrt(864) - -6*(sqrt(864)*-1 - sqrt(864)))*-3).\nAnswer: 2*sqrt(3)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = -z. Let f be t(-2). Determine h, given that 19*h**2 - h**4 + 4*h**3 - 4*h**5 - 2*h - h**5 + 3*h**5 - 17*h**f - 1 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1 + 1. Let j be 21\/6 - (-1)\/(-2). Suppose 4*i - j*o = 2*o, -3*o = i. Solve i = 2*a + b*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 137349529 to the power of 1\/2, to the nearest integer?\nAnswer: 11720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 212006936?\nAnswer: 2, 29, 277, 3299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*s - 9 = -9*s. Let k(c) be the second derivative of 10\/3*c**s + 0 + 0*c**2 + 1\/4*c**5 - 5\/3*c**4 - 34*c. Factor k(l).\nAnswer: 5*l*(l - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2 times -0.09744?\nAnswer: -0.019488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*f - 368 = 10*f for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 i and 1 r when two letters picked without replacement from {m: 6, a: 1, x: 1, r: 3, j: 1, i: 1}?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l be 176\/44 - (1 - 2 - -5). Suppose l = 13*q + 266562 + 122138. Round q to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 39.2 + -24.2. Let u = 5 - z. Suppose -3*s - 10 = 4*c, 2*s + 9 = -c - 2*s. What is the nearest to c in u, -5\/2, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 99 = -3*p, -17*l + 18*l + 5*p = 17. Put l, 9, -1 in ascending order.\nAnswer: -1, 9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -117557 times 1?\nAnswer: -117557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 26642 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a be -214*((-27)\/6 + 4). Let c = a - 76. Suppose -93 - c = -4*g. List the prime factors of g.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 297*y**3 - 5*y**2 + 2317*y + 2?\nAnswer: 1782*y - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a - 2*y + 239 = 154, -29 = -a + 2*y for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.001 and 327568554334?\nAnswer: 327568554334.001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -101002 (base 3) in base 11?\nAnswer: -228","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**0*y*y)\/(y\/(y*y*y**(3\/2))))\/(y**(-1))**(-1\/53) assuming y is positive.\nAnswer: y**(475\/106)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -294*k - 30. Let s be p(-6). Suppose 71*m = 68*m + s. Suppose 4*x - 2*t = -t + m, 722 = 5*x - t. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 73683.\nAnswer: 3, 2729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((f**(1\/15)*f**(2\/3))\/(f*f*f\/(f\/((f**(-1)*f)\/f))*f**(9\/4)))**(-36))**(2\/27) assuming f is positive.\nAnswer: f**(302\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 69261 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) = -298*q + 7752. Let c be o(26). Let k(j) = -6*j**3 - 5*j**2 - 5*j + 4. Let u(n) = -n**3 - n**2 - n. What is c*u(d) - k(d)?\nAnswer: 2*d**3 + d**2 + d - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -4*j**2 - 9*j + 11. Let i be v(-11). Let x = 635 - i. Let r = 1550 - x. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -28*t - 45 - 39. What is the nearest to 0.1 in -4, -28, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -357 - -2857\/8. Which is the biggest value? (a) -0.1 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*c - 6 = 0, 238 = 6*x - 2*x + 5*c. Suppose 5*a = f - 582, a - 4*f + x + 48 = 0. Round a to zero dps.\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = t**2 + 2*t - 4. Suppose 4*x = 7*x - 117. Suppose -8*w + 7*w = x. Let p = 33 + w. Determine b(p).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -3*g**2 + 3*g + 1. Let b be q(-3). Is b equal to -36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*v + 0*v**4 + 0*v**4 - v**5 + v**3 + (7*v**3 - 2*v**2 + 2*v**2)*(-2*v**2 + 4*v**2 - v**2).\nAnswer: 6*v**5 + v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -351, -693, -1023, -1335, -1623?\n\"Answer: q**3 - 349*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let f = -1.312 - -0.912. Let r be (-2)\/(1 - 7\/1). Let b be 7\/(-6) + (-2)\/(-3). Sort f, r, b in increasing order.\nAnswer: b, f, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 73198 - 73196. Find q, given that -1\/5*q**o - 1\/5*q + 6\/5 = 0.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:37 AM and 7:01 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oozoozzzzobzbooz. Give prob of picking 2 o and 1 b.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*k - 21 = -21. Suppose k = -3*c - 4*x + 269 + 233, 2*c = 5*x + 304. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (3 + -39)*(-5)\/10. Let t = 20 - x. Solve -2*h - 5*w - 4 = 0, 0 = h - 2*w - 9 + t for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1030.9 + 1034.678. What is o rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -91 + 91 - 23*m in the form h + i*m and give i.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -6654 + 10345. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -61\/132 and 67\/396.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: 4b00 (base 16) to base 9\nAnswer: 28303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4 = -6*d + 4*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -z - 2*d = d - 105, 3*z - 5*d - 259 = 0. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (11*s - 32*s + 14*s)*(-11*s - 17 + 17).\nAnswer: 77*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-7)\/(-47292)*81\/9*2\/9. Is 0 less than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -r**3 - 11*r**2 - 14*r + 41. Let p be g(-9). Suppose -29 + p = -n. Solve 5*u - n = 3*x, 2*u - 2*x - 15 = -u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wxwg when four letters picked without replacement from kxwwywgyykk.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.3 (b) 3 (c) -0.4 (d) 11\/2 (e) -0.5 (f) 12\/163\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1184*u**5 - 5348*u**4 + 175676*u**3 - 652072*u**2 + 281568*u - 23040 = 0.\nAnswer: -16, 4\/37, 3\/8, 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1\/((4\/(-4))\/(17\/85))*(-60)\/(-30).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 56158, 224611, 505366, 898423, 1403782, 2021443, 2751406?\nAnswer: 3593671","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = -3*h, 4*r = -0*h + 2*h + 380. What is the remainder when r is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 3*p - 991 = 0, 0 = 2*s - 0*p + 4*p - 512. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-2484)\/1449*4\/6?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 6, g: 2, m: 3, x: 1}. What is prob of picking 2 l and 1 x?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -36 = 2*z - 5*z. Find the common denominator of -73\/4 and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3 (base 9) in base 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -1196*b - 25 = -1201*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 0.1, -10\/1811, 0.05, -0.4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-8)\/(-18)*1\/4. Let p be (-115)\/20 - 1*2. Let f = -457\/60 - p. What is the third smallest value in -2\/3, a, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of 229, 904, 2021, 3574, 5557?\n\"Answer: -s**3 + 227*s**2 + s + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence iw when two letters picked without replacement from {i: 2, n: 1, f: 3, w: 1}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7.7 - 8.2. Let i = l - 3.5. What is the closest to -1 in 10, -3, i?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = 4*a**3 + 5*a**2 - 18*a - 3. What is the lowest common multiple of 10 and d(3)?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 475 a factor of 657266525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (1*1\/4*-2)\/((-185)\/(-2405)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be (88\/(-10))\/(5\/(-25)). Let c = 96 - r. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -54*m + 229 + 18*m + m**2 + 17*m + 21*m. Let f = 7 - 7. Is 39 a factor of d(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 3784 less than 6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 895 = -29*b + 1069 for b.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 18733 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: Divide -425408 by -212704.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 500 and 2125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f - 9. Let c be g(8). Let v be (32 + 12\/(-4))\/c. Let j = v + 77. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = -l**2 - l**2 + 3*l**2. Let m(x) be the first derivative of -21\/2*x**2 - 96 + 0*x. Calculate m(a(w)).\nAnswer: -21*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*i + 24 = -6*i. Suppose 2*v - i = -3*x, -5*v + 27 - 7 = -x. Suppose -6*u = -u - v*g - 302, -5*g - 247 = -4*u. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 3*l**2 - 366*l + 367*l + 6*l**2 to k*l + b + o*l**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify p\/p**6*p**6*p**(2\/11)*p**(1\/9)\/p*p*(p*p**(3\/4)*p\/((p**(-2\/9)*p*p)\/p))\/(p**(-3\/4)*(p\/p**8)\/p) assuming p is positive.\nAnswer: p**(793\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(304) + -2 + 0.\nAnswer: -2 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b = 1546.5 - 3551.9. Round b to the nearest 100.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 454803?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1884985232 to the power of 1\/2, to the nearest integer?\nAnswer: 43416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is (-2211720)\/(-84)*(-2)\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1069.377312 to the nearest 10.\nAnswer: -1070","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in 979.3559 centimeters?\nAnswer: 9793559","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*u + 3*s = -7*u - 139315, -4*u + 111425 = 3*s. What is the hundreds digit of u\/91 + (-9)\/((-468)\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -43666197 + 3.0901?\nAnswer: -43666193.9099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 42624 is divided by 2868?\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 28720116619 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(4)\/sqrt(2)*-4*1)**2 + 3 - ((sqrt(1800)*-1 + sqrt(1800))\/(2*sqrt(9)*-3))**2.\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 324907 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -104*l - 3812 + 23304 = -4532. Calculate the remainder when l is divided by 105.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 44915346659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many micrometers are there in seventeen halves of a millimeter?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b be -2 + 14\/16*3841. Let j = -3364 + b. Calculate the common denominator of (-186)\/4*198\/1188 and j.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p**(1\/5)*p*p**4)**6\/((p**1)**31\/(p*p*p\/p**(1\/3))**(-3\/29)) assuming p is positive.\nAnswer: p**(-11\/145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 2735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 11590081 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -1975*b + 5*s + 59 = -1947*b, -16*b + 29 + 34 = 3*s for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**5\/5 + 4*x**4 + 80*x**3 - 800*x**2 - 4000*x + 40000.\nAnswer: -2*(x - 10)**3*(x + 10)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: a56816 (base 13) to base 6\nAnswer: 214542000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -784*l - 84. Let i(c) = -46*c - 5. What is -84*i(s) + 5*q(s)?\nAnswer: -56*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express 180*b - 612*b - 1097*b - 578*b in the form g*b + m and give g.\nAnswer: -2107","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 * 1016331.89.\nAnswer: -4065327.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 616 minutes after 6:18 PM?\nAnswer: 4:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-9)\/85*(150\/45 + -2 + -2). Which is smaller: j or -25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2 (base 16) to base 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1006229781?\nAnswer: 3, 111803309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 226372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let d = -6970.132 + 6547.1343. Let o = 423 + d. What is o rounded to 3 decimal places?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 132 and 28?\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a = -101119 - -143220. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = 2309*s - 1343. Is a(30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 3969*k**2 + 595*k + 4. Let m(v) = 1973*v**2 + 298*v + 2. Let j(i) = 5*m(i) - 2*n(i). Find the second derivative of j(q) wrt q.\nAnswer: 3854","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -29*h - 25*h + 117*h - 2*h**2 + 9*h**2 - 28*h - 26*h.\nAnswer: 7*h**2 + 9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**10*w*w**(7\/2))\/(w**(-14))**(-16\/3) assuming w is positive.\nAnswer: w**(-361\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 4386159907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = -16 - -14. Let g = 4\/23 - -7\/92. Sort 2\/13, g, u.\nAnswer: u, 2\/13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 549713158?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (6 + 2 - 2)*(-20 + 20 - 5*v) to the form m + z*v and give z.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-2))\/((-9)\/24). Suppose -3*k + t = -4, -k + q = 5*t - 8. Solve 4*d = -4*z + 7 - 35, k*z + 2 = d for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 1430965*m**4 - 12*m - 28227 wrt m?\nAnswer: 17171580*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (-9)\/48 + (3850\/(-224))\/(6 + -7)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let o be -6 + 10*43\/75. Which is bigger: o or -1\/33?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -630 - -244?\nAnswer: -3a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 + -9. Let w = 327 - 324. Let p = q + w. Which is the third biggest value? (a) 1\/4 (b) p (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = -3*p - 9. Let l(t) = 4*t + 14. Let f(c) = -5*l(c) - 8*s(c). What is the derivative of f(n) wrt n?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange o + 270*o**2 + 4*o - 134*o**2 - o - 135*o**2 + 48 to the form u*o + p*o**2 + w and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-4624)\/51)\/((-4)\/6). What is the highest common factor of b and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27*j = -28*j - 4*y + 18, -3*y + 20 = 4*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n - 7. Let y be q(-7). Suppose y = -a, -5*c + 2042 = 2*a + 292. Let j = -217 + c. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 620 minutes after 10:46 AM?\nAnswer: 9:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*h**3 + 3*h**3 - 5*h**3 - 17*h**3 + 8*h**3.\nAnswer: -11*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 w when two letters picked without replacement from wuwmfuwlwmmwfwmf?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:48 PM and 10:52 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1054\/12 - (-2)\/12 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -5*k**4\/4 - 155*k**3\/3 - 360*k**2 + 8100*k - 867. Factor q(a).\nAnswer: -5*(a - 5)*(a + 18)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) be the third derivative of 0 + 1\/6*p**4 + 5\/6*p**3 - 3*p**2 - 1\/30*p**5 + 0*p. Give s(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 2403324 + -1?\nAnswer: 2403323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 6*k + 5 = 4*k, 4*p = -2*k - 20. What is the second smallest value in 1.2, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -1494.2239929 - -1494.26. Let r = x - 0.036. Round r to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3326652 divided by -42?\nAnswer: 79206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve -146116 + 72169 - 266170 = -5463*j - 1411 for j.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1879251 is divided by 799.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 360035774 to the nearest integer?\nAnswer: 18975","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*c = -174 + 134. Let j = 328 - c. Let z = 709 - j. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(4\/7)\/(w\/(w*w**4)) assuming w is positive.\nAnswer: w**(32\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b - 3449996 = -5*q, -3*q + 2759996 = q - 4*b. Round q to the nearest one hundred thousand.\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -88, -53, -18, 17, 52?\n\"Answer: 35*u - 123","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 764.5098 days?\nAnswer: 66053646720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.5 and 23601?\nAnswer: 23600.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*x + 2*x = -32. Suppose x = 2*a + 2*a. Suppose 0 = a*g + g - 15. Solve 2*c = -3*c - 5*u + 25, g*u + 3 = 2*c for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10102 divided by -2.\nAnswer: 5051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-7 - (-5 - 5))*(75\/9)\/(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -24 and -22.\nAnswer: 528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -63237, -254449, -573137, -1019301, -1592941, -2294057, -3122649?\n\"Answer: -63738*o**2 + 2*o + 499","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: ((-5)\/(-15)*-3)\/((-77)\/14)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 6, -99, 5, -11, -1 in descending order.\nAnswer: 6, 5, 3, -1, -11, -99","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Put 6263, 0, -54083 in descending order.\nAnswer: 6263, 0, -54083","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let v = -151 + 158. Let s = -6 + v. What is the biggest value in 1\/5, s, -1, 0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 16 a factor of 62272?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5 + -2. Let h = r - 4. What is the nearest to -1 in h, -2, -1\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*(sqrt(144) + (sqrt(144) - (sqrt(144) - sqrt(144)*-3)*-4))\/((3*4*sqrt(96))\/sqrt(8)).\nAnswer: 3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Does -1\/13928501 = 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((l*l*l*l\/((l**(2\/15)*l)\/l))\/((l**(-4)\/l)\/l*l*l))\/(l**7\/l)**(-40\/9) assuming l is positive.\nAnswer: l**(518\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = y**2 - 2*y + 13. Let l be h(-6). Suppose 3*r + 4*p = 57, r = 4*r - 4*p - 33. What are the prime factors of l\/3 + 10\/r?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) be the second derivative of y**5\/10 + 14*y**4\/3 - 4*y**3\/3 - 112*y**2 - 295*y. Factor v(b).\nAnswer: 2*(b - 2)*(b + 2)*(b + 28)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m*m*m\/((m*m\/(m**(4\/5)*m))\/m)*m*m**(-1)*m**(-1\/5)*m**4)\/((m**(-1))**39)**(-4\/3) assuming m is positive.\nAnswer: m**(-217\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -23828*m**2*v**3 + 3331*m**2*v + 5674*m*v**3 + 49*m*v**2 + 3*m*v + 4*v**3 wrt m.\nAnswer: -47656*v**3 + 6662*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 3902*g**2 + 808*g - 10. List the prime factors of r(4).\nAnswer: 2, 17, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -375295148*w**3 + w**2 + 375295137*w**3 - w**2.\nAnswer: -11*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k = -333 + 336. Solve 5*m + k = 3 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4511 to the power of 1\/2, to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 = -s, 2*q + 3*s = -0*s - 299. Let c = q - -963. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4248814214 rounded to two dps?\nAnswer: 0.42","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = f**3 - f**2 - 3*f + 3. Let m be i(2). Let t be (-5)\/4*(-24)\/m. Suppose -3*h + t = -0*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 - (-4 - -5 - 15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w - 31896 = 2*o, -3*w = -5*w + 2*o + 15952. List the prime factors of w.\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 14, 5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-2)\/((15\/6)\/(-5)). Suppose -t*p = p - 85. Let s = -262 - -291. What is the remainder when s is divided by p?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6302298 is divided by 589?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(6)\/sqrt(2) - sqrt(3)) + 0)**2 + -2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(u) = 11*u**4 + 179 - 49*u**2 + 7*u**4 - 184. Let h(n) = n**4 - n**2 - 1. Let f(q) = -5*h(q) + i(q). What is the third derivative of f(j) wrt j?\nAnswer: 312*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 26*q + 18*q - 85*q + 14715*q**2 + 41*q.\nAnswer: 14715*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 4*b - 302, b - 2*j - 2*j = 80. Let v(d) = -7*d - 44. Let c be v(-7). Suppose -5*f + 19 = 5*r - b, c*r = -2*f + 89. What is the units digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d = -a - 2*a + 26, 2*d = 5*a. Suppose -c + 12 = a*c. Suppose -5*x = c - 24. Solve -4*k + s - 3*s + x = 0, -2 = k - s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 494 - 444.1. Let q = y + -50. Sort 0.4, -3, 3, q in decreasing order.\nAnswer: 3, 0.4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 165788 and 25976?\nAnswer: 764","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: (10\/30*12*(-3)\/(-12))\/(3\/(-123))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8*6\/(-144)*-2?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -524*v - c = -525*v - 24, 3260 = -116*v - 3*c for v.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 95.39 take away 1.015?\nAnswer: 94.375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u, 1 f, and 1 r when three letters picked without replacement from uurufuuufuuffruf.\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 38\/12091 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = 4*q**2 - 24*q - 46. What is d(-7)?\nAnswer: 318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w**9*w)\/w*w*w**(-7)*w*(w**(1\/3)\/w)\/(w**(-12)\/w*w) assuming w is positive.\nAnswer: w**(46\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*t = -60 + 64. Let k(a) = a**2 + 1. Let c(y) = 3*y**3 + 9*y**2 + 9. Give t*c(m) + 18*k(m).\nAnswer: -6*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00147937 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2.14188 rounded to 2 dps?\nAnswer: 2.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -73\/1461 and -75\/22.\nAnswer: 32142","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.5494226ug in grams?\nAnswer: 0.0000005494226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = -19 + 299. What is the remainder when f is divided by 61?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together 383.586914209 and -0.7.\nAnswer: 382.886914209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Convert 0 (base 3) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Determine y, given that 4*y**2\/9 + 106796*y\/3 - 534080 = 0.\nAnswer: -80112, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = o + 9. Let b be x(0). Let u = -5 + b. Calculate the greatest common factor of 6 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tqq when three letters picked without replacement from lllllltllqqlllltl?\nAnswer: 1\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} {"text":"Question: Convert -61546 (base 7) to base 5.\nAnswer: -440103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: (12\/(-7)*4676\/18036)\/((8\/54)\/(-2))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in 1, 0.666, 39, 1\/6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 698008057 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Work out 9.797 * -1.\nAnswer: -9.797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round -16.212 to 1 dp.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -31204, -62409, -93614, -124819, -156024, -187229?\nAnswer: -218434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 151922459 to the power of 1\/2, to the nearest integer?\nAnswer: 12326","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -8*b**5 - 16*b**4 + 7*b**3 - 7*b**2 + 7. Let c(r) = 4*r**5 + 8*r**4 - 4*r**3 + 4*r**2 - 4. Let n(j) = -7*c(j) - 4*i(j). Factor n(d).\nAnswer: 4*d**4*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = 2*c**3 - 3*c**2 + c. Let f = 7 - 3. Suppose -f*m - 13 - 11 = 0. Let y = m - -8. Calculate w(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from kzlzkzkzkmktkkkzkc.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 26\/39*(-1 - 4\/(-2)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is -8682 divided by -6?\nAnswer: 1447","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -28128 = -4*m + 5412. Suppose -4*k - m = -g, -3*k = 12 - 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5231.\nAnswer: 5231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l = 193 + -164. Let z = l - 28.81. What is z rounded to 1 dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68\/3 of a year in months?\nAnswer: 272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 7139.45g in micrograms?\nAnswer: 7139450000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -0.3, 3\/5, -5, -1\/794, -2\/3, -624?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) be the first derivative of -4*j**3\/3 - 4*j + 10. Let i(x) be the first derivative of b(x). Let w(o) = 2*o. Determine i(w(d)).\nAnswer: -16*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + sqrt(2448) + sqrt(2448) + 0 + ((sqrt(2448) + 1)*1)**2.\nAnswer: 48*sqrt(17) + 2447","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 8159923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let p = -33 + 57. Suppose 7*i + p = 10*i. What is the smallest common multiple of i and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2355166?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 19.24 + -19. Let q = u - 0.15. What is q rounded to 1 decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 31\/17051 and 95\/238?\nAnswer: 238714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 46492471 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 85092.38l in millilitres?\nAnswer: 85092380","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/2? (a) -13 (b) 0.4 (c) -5 (d) -11\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 215 and 172?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*q + 5 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 426291 and 7.\nAnswer: 2984037","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 213*i - 14 = 5*d + 210*i, 4*d + 3*i - 5 = 0. Which is the closest to 1\/4? (a) -0.5 (b) 280 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j + 79 = 2*j + 5*m, -j + 2*m + 62 = 0. What is the tens digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*h - 11*h = 2*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5492 - 16450 + 2*o + 5465 + 5493.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**2 + 12*j + 17. Let c be q(13). Suppose -2*h = -10, c*h = -p + 4*p - 2329. Suppose 0 = -3*u - 3*b - b + p, 4*b = 12. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x = -2*g - 315990, 309285 + 6735 = 2*x + 4*g. Round x to the nearest ten thousand.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -0.11, 1, -1\/5, -2\/9, 3 in descending order.\nAnswer: 3, 1, -0.11, -1\/5, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 20828 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 295301 is divided by 266.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -61 - -118. What is the remainder when c is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -b = 4*f - 21, 0*b - b - 3*f = -16. Let x = 2 - b. Let y = 2 - x. Is 1\/2 greater than or equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v - 3 = 7. Let o(r) be the third derivative of 0*r - 1\/30*r**5 - 2*r**v + 0*r**4 + 0 + 0*r**3. Let d(p) = 2*p. Calculate o(d(c)).\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (4 + 3\/(-2 - 1))*88\/2640*-190.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sum 4848110.843 and 0.\nAnswer: 4848110.843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.2 - -0.6. Let v = -0.1 - s. Suppose 6*p = 2*p + g - 4, 2*p - 4*g + 16 = 0. What is the closest to p in 4, v, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*p**2 + 90365636*p + 1020743521210562.\nAnswer: 2*(p + 22591409)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 27388 is divided by 27361?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -209 + 659. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = 41*g + 1. Let r(v) = 74*v - 22*v - 12*v - 16*v - 37*v. Calculate r(h(o)).\nAnswer: -533*o - 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose n = i + 40 - 13, 132 = 5*n - 4*i. Suppose 0 = -4*o + 142 + 46. Calculate the remainder when o is divided by n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*d**2 + 2*d**2 + 3*d**2 + 2*d**2 - 2*d + 2*d + (-d - d + 0*d)*(2*d - 4 + 4) - 3*d**2 + d**2 - 5*d**2)*(-6 + 5 + 3).\nAnswer: -14*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 72\/7, 5\/2, 4, 32?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(w) be the second derivative of -61731*w**5\/20 + 1083*w**4\/2 - 38*w**3 + 4*w**2\/3 - 253*w. Factor k(c).\nAnswer: -(57*c - 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 - 6*n**2 + 7*n + 15. Let r be a(-7). What is the highest common factor of 90 and r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4.05 * 901.\nAnswer: -3649.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -21 + 34 + -7 + -7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) be the first derivative of -n**3\/6 - 21*n**2\/2 + 80*n - 164. Let b(t) be the first derivative of a(t). Determine b(-14).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 85*a**3 + 74635*a**2 + 78935*a + 4385.\nAnswer: 5*(a + 1)*(a + 877)*(17*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (23*40\/(-460) - (-6)\/(-5))*5*2\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = w**3 + 58*w**2 - 119*w - 40. Determine l(-60).\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 6685849 and 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -653042 + 653186 = 24*y for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify c**(-9)*c*c*(c*c\/(c**(-7)*c))\/c*c*c**(-8)*c**9\/c*(((c\/c**(-15))\/c)\/(c\/c**(-4)))**(-2\/7) assuming c is positive.\nAnswer: c**(-13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (-4 + 24\/4)*(-10)\/(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6774 is divided by 966?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = -z**3 - 5*z**2 - 23*z - 160. Let c be d(-6). Let r be ((-119)\/(-255))\/(c\/12). Which is bigger: 32 or r?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n - 4*h - h = 5739, 2*h + 2872 = 2*n. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 19631*a**2*j**2 + 14289*a**2*j + 1078*a*j**2 + 415*a*j - 2*j**2 wrt j.\nAnswer: 39262*a**2 + 2156*a - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*((((-1 + sqrt(175))*4 - sqrt(175))*6)**2 + (4 + sqrt(175)*2 - -2*(sqrt(175) + 1))).\nAnswer: -8600*sqrt(7) + 114564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5 + (2*sqrt(1331) - sqrt(1331)) + -5 - (1*(-1 + sqrt(1331)) + sqrt(1331) + sqrt(1331) + sqrt(1331) - (sqrt(1331) + 0)*-3)**2)*5.\nAnswer: -326100 + 825*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 291 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(200) + 3)**2.\nAnswer: 180*sqrt(2) + 1809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 98 and 22589.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = i**3 - 7*i**2 + 8*i - 8. Let a be r(6). Let y = a + 2. Suppose o = k + 5, k - 17 = -o + y*k. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 47599 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let g = -16 + 16.2. Is 1\/9 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 110703892?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(h) = 11*h - 311. Let d(b) = 19*b - 624. What is -7*a(y) + 4*d(y)?\nAnswer: -y - 319","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {c: 4, e: 16}. Give prob of sequence ecec.\nAnswer: 8\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 1. Let j(o) = 113*o - 2. Let f be (-2)\/(-4)*(10 - -2). Let a(c) = f*g(c) - j(c). Does 13 divide a(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p**4\/5 + 13*p**3 + 28908*p**2\/5 + 175388*p + 1638784\/5 = 0. Calculate p.\nAnswer: -118, -32, -2, 217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by 1502.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*u + 3*u - 3*u)*(-21*u - 396 + 396).\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor x**3\/5 + 553*x**2\/5 - 2233*x\/5 - 557.\nAnswer: (x - 5)*(x + 1)*(x + 557)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Factor y**3 - 5832361*y**2 + 8504099960032*y + 25512352371372.\nAnswer: (y - 2916182)**2*(y + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in one tenth of a century?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of v**3*w**3 - 248*v**3*w**2 + 7*v**3 + v**2*w + 12*v*w**3 - 459*v*w**2 wrt v.\nAnswer: 6*w**3 - 1488*w**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence thy when three letters picked without replacement from ybtyyyyhbbbyhyyythb?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 4901 (base 11) to base 8\nAnswer: 14416","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d be 5\/5*1*8. Suppose -j - 179 = -2*k, 4 + d = -4*j. Let x = k + -79. Calculate the least common multiple of 45 and x.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the third derivative of o**6\/120 + 3*o**5\/20 + 3*o**4\/8 + 2*o**3\/3 + 1041*o**2. Give t(-8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - 4 + 7\/4*n**2 + 1\/4*n**3 = 0. What is n?\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 5*l**3 + 1013865*l**2 + 51395604975*l - 51396618845.\nAnswer: 5*(l - 1)*(l + 101387)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let p = 20423139\/1219 + -16754. Calculate the common denominator of 18\/161 and p.\nAnswer: 8533","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-2)\/(45\/(-36)*1968\/(-185730)).\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of ((-4 + 2)\/2)\/1 - -245?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 25012*k**4 - 1 - 25012*k**4 - 164*k**5 + 13*k**2 wrt k?\nAnswer: -9840*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2991394 to the nearest integer?\nAnswer: 1730","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fuuffggrf. What is prob of picking 1 f, 1 u, and 1 r?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {d: 1, p: 9, y: 3, v: 2, u: 2}. Give prob of sequence dv.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 41677 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1498.2316 from -473.\nAnswer: -1971.2316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -472840928, -472840927, -472840926?\n\"Answer: x - 472840929","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 20361 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 prob of picking 1 z and 1 l when two letters picked without replacement from zsbjbzijlbj?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 39 and 1027?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 465807 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 9862921 a multiple of 220?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*t**2\/9 + 182*t - 3268\/9.\nAnswer: -2*(t - 817)*(t - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 126178362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13*u + 48 = -u. Let h(c) = -6*c + 29. Let d be h(u). Solve 3*a = -4*o + 21, -d*a + 2*o + 6 = -a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 71\/4 of a year in months?\nAnswer: 213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f = 9 - 3. Let u(h) = h**3 - 2*h**2 + 7. Let p be u(3). Suppose 4 = f*r + p. Let v(i) = -i - 3. Calculate v(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = 6*z - 27. Give a(3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 17531.\nAnswer: 47, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -10952 + 3264 = -1723*g + 6096 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 125*n = 6054 - 4304 for n.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 176.4 - -21.\nAnswer: 197.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 33 divide 22365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3 + 12 = 3*o. Suppose -y + f + 30 = -4*f, -o*y + f + 20 = 0. Let x = -11 - -16. Solve 36 = y*j - 4*d, d = 3*j - 11 - x for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 w and 1 e when two letters picked without replacement from {e: 2, w: 4}?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 53483 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0 times -0.486?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1616.\nAnswer: 2, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b be (24\/9)\/(2\/3). Let f = b + -10. Let n = f + 8. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-2 + 42\/18)\/((-3)\/36). Put 0, -2\/37, p, 5 in increasing order.\nAnswer: p, -2\/37, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(u) be the third derivative of 11*u**6\/60 - 37*u**5\/60 - 2*u**2 - 20*u. Find the third derivative of t(q) wrt q.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 20423*w + 145582.\nAnswer: 20423","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i + 0*o - 2 = -4*o, -o = -i + 1. Suppose -15 = -i*s + 78. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.02903 to 3 decimal places.\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 22 (b) 0.04 (c) 0.076 (d) 37\/92\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*i + 8, -5*x - 2*i + 7*i = 35. Let u(l) be the third derivative of -l**4\/24 + l**3\/6 - 2*l**2. What are the prime factors of u(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -i = -0*i, 40*d - i = 38*d + 2 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = -2*m**3 - 32*m**2 + 34*m + 8. Let a be l(-17). Suppose -2*i - 3*b + 733 = 0, 7*b - 374 = -i + a*b. What are the prime factors of i?\nAnswer: 7, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 179954 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*t - 109 = 3. Let z be -3 + 1164\/t + (-3)\/(-12). Round z to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 4, 2 in ascending order.\nAnswer: -8, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1448901973?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 1319 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 22147675*g**3*p**2 + 150119351*g**3*p + g**2*p**2 + 3*g*p wrt p?\nAnswer: 44295350*g**3 + 2*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/30)\/(12\/36)*(-4)\/(0 + 12)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2211, 4104, 5999, 7896, 9795?\nAnswer: 11696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 106223 and 39.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 5, -1, 994 in descending order.\nAnswer: 994, 5, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 20830 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (22*m + 11 - 4 - 24*m)*(-4 + 2 + 0) + 3*m - 12*m - 3*m to the form l*m + k and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0 - ((-4)\/(-6))\/1*-399. Suppose 379 = 15*u - f. Let r = u + -44. Is -1\/59 bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1354295 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + y = 2*y + 1, -4*y = -4*k - 4. Let q = -7 - -13. What is the remainder when q is divided by k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -8, -9, -5, 1237, -3.\nAnswer: -9, -8, -5, -3, 1237","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let u = -12 + 38. Suppose -5*c + 3*l = 6 + u, -l = c. Let k(t) = -2*t - 2. Determine k(c).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -10, 17, 44, 71?\nAnswer: 98","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let j = 1426.9677 - 1476.967084. Let u = -50 - j. What is u rounded to four decimal places?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l = -2*n + 86, -3*n + l = n - 190. Let h = 50 - n. Suppose -4*u + 721 = v, -u + 2163 = h*v - 6*u. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/2 in -5, -1\/19, 10, 2?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d(u) = u**3 - 9*u + 1. Let v = -417 + 435. Suppose -5*p - m = -8 + 3, 0 = -4*m - 20. Let n(o) = 2 + o - p. Give v*n(x) + 2*d(x).\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 3, 1449, -0.5, 1\/2, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 4, 0.004, 43, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 53201981 >= 53201981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 3008 smaller than 3682?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1 and 10.96372.\nAnswer: -10.96372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1505 is divided by 27.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 8157 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**3 - 15*m**2 + 16*m - 7. Let f be r(14). What is the greatest common factor of 28 and f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 125363?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -1\/4, -2\/3, 3, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1314814 is divided by 32.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c = -0.1 + 0.32. Let n = c - 1.12. What is n rounded to 1 dp?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 145.359 + -0.359. Let n = 144.99855 - g. Round n to 4 dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 194b (base 13) to base 16\nAnswer: ec5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 2665 divide 79762453?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine z, given that -z**4\/6 - 8*z**3\/3 - 29*z**2\/2 - 94*z\/3 - 70\/3 = 0.\nAnswer: -7, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the second derivative of -c**3\/3 - 14*c. Determine j(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4244, -4241, -4238, -4235, -4232, -4229?\n\"Answer: 3*m - 4247","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = 1704*s**2 + 399*s + 1558. What are the prime factors of j(-4)?\nAnswer: 2, 13613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from slddpsnddmdlmp. What is prob of sequence npmp?\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 55751?\nAnswer: 197, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-84)\/(-36) - (-4)\/6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Express (2*z**2 - 5*z**2 + z**2)*(-10*z**2 - 12*z**2 - 35*z**2) as l*z**3 + i*z**4 + b + n*z**2 + c*z and give i.\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6226570157.\nAnswer: 29209, 213173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 i, 1 v, and 1 b when four letters picked without replacement from bvbvbivi?\nAnswer: 9\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 150 and 15630.\nAnswer: 78150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.2 (b) -1 (c) 0 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(55)\/sqrt(80))**2 + (sqrt(176)*5)**2)*-5 + 3 + (-2*sqrt(11)*2 - (sqrt(11) - sqrt(11)*2*5)).\nAnswer: -352007\/16 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 1, j: 4, q: 1, h: 11}. Give prob of picking 1 i and 3 h.\nAnswer: 33\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 3297750 and 2198500.\nAnswer: 6595500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 + u**4 - 1 + (4*u**2 - u**2 - 2*u**2)*(4*u - 4*u - 2*u**2) to the form k*u**3 + c + h*u**4 + b*u**2 + n*u and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*s + 5*b = -17*s - 4025, -10072 = -5*s + 3*b. Let u = 453 - 1791. Let q = u + s. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0.1 + 0.9. Let c = d - -2. Let q = 6 + -6.1. Is q < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2235678 equal to 2235679?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -131 + 142. Suppose 28*p - 17 = k. Solve -2 = c + p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34063 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -5866935\/118 or -49719?\nAnswer: -49719","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h*h**10*h)**26\/((h\/h**(2\/43))\/(h\/h**(-1\/21))) assuming h is positive.\nAnswer: h**(281821\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -6 * 25\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) be the first derivative of -d**6\/8 + 3*d**5\/10 - d**3\/2 + 3*d**2\/8 + 5. Factor z(w).\nAnswer: -3*w*(w - 1)**3*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 2*t - 1058, -3*t - 403*r + 405*r = -1571. Does 35 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -2\/7, 34101, 0.5, -4?\nAnswer: 34101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*y - 6*y - 32 = -2*d, 2*y + 495 = 26*d - 21 for d.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 1, -1.1, -5, -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g be (30\/9)\/(4\/6). Let r = -3 + g. What is the units digit of r + 5 - (-1 - -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = -l + 2. Let w(c) = 2*c - 3. Let i(p) = -5*o(p) - 3*w(p). Let y be i(-4). List the prime factors of 2\/(7 - y) + (-135)\/(-6).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 21306166 and 31959249.\nAnswer: 63918498","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -2, 76 in descending order.\nAnswer: 76, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 602.\nAnswer: 2, 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1400 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*l + 2*k = -l + 15, -5*k - 21 = -4*l. Suppose -v - 22 = 2*p, 3*p + v + 24 = -l. Let y = -6 - p. Is y > 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find s, given that 2*s**5\/13 + 90656*s**4\/13 + 5070880*s**3\/13 + 1448704*s**2 = 0.\nAnswer: -45272, -52, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 180.347 years in centuries?\nAnswer: 1.80347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5402528 is divided by 3996?\nAnswer: 3932","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is eleven eighths of a microgram in nanograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -789*y**2 + 769*y - 769*y.\nAnswer: -789*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-11)\/(-22) - -8)\/(-2 - 11\/6*-1).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 99\/7479680 and -25\/36192.\nAnswer: 22439040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Sort -7361, 3\/2, -2\/5, 2, 1, 68.\nAnswer: -7361, -2\/5, 1, 3\/2, 2, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 3889277 by 5831.\nAnswer: 667","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let u = 8.4 + -7.9. Sort -5, u, 5, 8 in ascending order.\nAnswer: -5, u, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 v and 1 c when two letters picked without replacement from fcwwwwwwwcutvwu.\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 4 + -255?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/20 of a milligram in nanograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is (1 + -2 + 2910)*(33 - 30) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -42 = 2*b - 0*b. Let g be 88\/396 + (-4)\/18. Suppose -4*o + g*o + 24 = -2*f, -3*f = 2*o + 4. Sort f, b, 3 in ascending order.\nAnswer: b, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1.49*0.23.\nAnswer: -0.3427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 8 = -0*u. Suppose 0 = -3*t + v - 12, 0 = -u*v + 2*v. Let o be 1\/6 + (-4)\/12. Which is the third biggest value? (a) -1 (b) o (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -866 - -1007 - (8 - -91).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1229?\nAnswer: 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*d = -4*n, -2*n = -8*d + 5*d + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 652 minutes after 10:51 PM?\nAnswer: 9:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 48008855 to the nearest integer?\nAnswer: 363","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = -5*s**3 + 6*s + 6. Let i(c) = -c**3 + c + 1. Let h(p) = -p**3 - 7*p**2 + 6. Let o be h(-7). Give o*i(r) - m(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -38, -90, -162, -242, -318, -378?\n\"Answer: 2*k**3 - 22*k**2 - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the third derivative of -k**6\/120 + k**5\/20 + 5*k**4\/24 - 2*k**3\/3 - 9*k**2 + 7. Give u(3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ud when two letters picked without replacement from {r: 2, u: 7, d: 1, h: 1, b: 5}?\nAnswer: 7\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 295 minutes after 5:51 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:07 AM and 10:00 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1 - 5 = -2*r. Suppose 3*t = -x + 25, -2*t + x = r*t - 39. Suppose -g = 3*g + 5*j - 68, -5*j + t = -g. What are the prime factors of g?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2\/757? (a) 4\/3 (b) 0.1 (c) 11\/5 (d) -4 (e) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 66979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in sixty-four fifths of a millennium?\nAnswer: 128","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i + 4 = 2*g + 2*i, -4*g + 3*i = -8. Suppose -2*s + 0 = -3*q + 18, -3*s - g*q - 1 = 0. Let j(b) = b**2 - 3*b + 4. Is j(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 72\/(-21) + -15 + 17\nAnswer: -10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 33 at least as big as 798\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 16 smaller than 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-4 - (-68)\/8)\/(15\/(-40)). Let f = 553 - 1699\/3. Let o = w - f. Which is the smallest value? (a) o (b) 2 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-2)\/(-3)*((-1)\/4)\/1.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 28 a factor of (-2)\/((-6)\/(-41)*1\/(-3))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) be the third derivative of 11*r**2 - 1\/24*r**4 + 0*r + 0*r**3 - 1\/240*r**6 + 1\/40*r**5 + 0. Let q(l) = 0. Calculate l.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is seventy-seven fifths of a day in minutes?\nAnswer: 22176","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 709963182?\nAnswer: 2, 3, 39442399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 122102202 - -11?\nAnswer: 122102220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 84241.259 to the nearest 10.\nAnswer: 84240","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate 405 divided by 37.\nAnswer: 405\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 - 6*c - 3 + 7 - 2.\nAnswer: -6*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 329 is divided by 66.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 20 minutes before 1:53 PM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the second derivative of -17*m**3\/6 + 3*m**2 + 5*m. Is h(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 1, a: 1, m: 2, j: 3}. Give prob of picking 1 a and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 28827 divided by -11.\nAnswer: -28827\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) be the second derivative of 301*y**4\/12 + 10*y**3 - 2*y**2 + 1144*y - 3. Find the second derivative of j(t) wrt t.\nAnswer: 602","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -32 + 116. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -483 - -480. Does 18 divide -2*(-5)\/15 - 1078\/g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*1*sqrt(133) + -3*(sqrt(133)*-2 + sqrt(133)))\/(sqrt(112) + 4*(sqrt(112) - 1*sqrt(112)) + sqrt(112)).\nAnswer: sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -2510, -4, 3, 6, -8, 44.\nAnswer: -2510, -8, -4, 3, 6, 44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of -40.4 and -5801.\nAnswer: 234360.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30585 - 10590 = -25*j. Suppose m + 3*m - j = 5*q, -5*q + 1279 = 3*m. What are the prime factors of m?\nAnswer: 2, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 6) to base 12\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*l = 16*l + 1632 - 2592 for l.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2487969 to the nearest integer?\nAnswer: 1577","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 5*a**2 - 4*a - 13. Let m(z) = -z**2 + z + 3. Let w(d) = -9*m(d) - 2*x(d). Let u(g) = 5*g**2 - 7*g - 12. Let n(y) = -u(y) - 6*w(y). Give n(-12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 14030 to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(1 + sqrt(75))*-1 + -3)**2 - 6*(-2 + -5 + -1*sqrt(75))) + 1.\nAnswer: 130*sqrt(3) + 368","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = -2*z - 0*u - 10, -22 = -2*z + 4*u. Suppose z*p + 4*l = 29, -7 - 2 = 2*p - 3*l. Let c be 3 + (2 + -4 - -3). Is p less than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 407, 3820, 13255, 31724, 62239, 107812?\n\"Answer: 502*d**3 - d**2 - 98*d + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 30 and 7312.\nAnswer: 109680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from ssxzxxx. Give prob of sequence xxs.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000047 rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((2*sqrt(126) - sqrt(126))*2)\/sqrt(2)*-6 - 6*(-2 + 1 + sqrt(3087)))**2.\nAnswer: -1944*sqrt(7) + 183744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 125877 to the power of 1\/2, to the nearest integer?\nAnswer: 355","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 155.05, 61, 52?\nAnswer: 155.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 5 - 5. Let g = -13.5 - -14. What is the nearest to q in 0.4, g, 3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1 - (4 - (0 + (5 - 1)))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000040031 to seven decimal places.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = q + 14 - 13 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Put 3, -20792, -66 in ascending order.\nAnswer: -20792, -66, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -20132*j**4 + 3311 wrt j.\nAnswer: -80528*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Express -151 + 65*u - u**4 + 30*u - 98*u as f*u + o + k*u**3 + y*u**4 + d*u**2 and give o.\nAnswer: -151","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let l = 45 + -44.9. Suppose -4*v + 0 = 2*r - 4, 4*r + 1 = v. Let o = -2563\/13 + 197. Which is the closest to -2\/5? (a) r (b) o (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 19 is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.1, -29, -1.56788 in decreasing order.\nAnswer: 0.1, -1.56788, -29","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 494873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -4576898*y**3 + 175259*y**2 - 6*y - 1 wrt y?\nAnswer: -27461388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 2\/89 or -79.5812?\nAnswer: 2\/89","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 2*p + 1 = 0. Let i(u) = 3*u**2 + 2*u - 1. Let k be i(p). Factor 0*s**3 - 48*s - 2*s**4 + 52*s - k*s**3 + 2.\nAnswer: -2*(s - 1)*(s + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -646770*w = -646773*w + k - 13, -2*w - 112 = -11*k for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*x**2 + 586508*x.\nAnswer: -2*x*(x - 293254)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -0.45, 0.5, 2, -3, 0.041?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort -26.5135, -0.12, -4\/7 in ascending order.\nAnswer: -26.5135, -4\/7, -0.12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -4 - -7. Suppose 0 = -h*m + 4*o - 8*o + 3, 6 = -m + o. Let x be (-1)\/m*0 - 5. Sort 0.4, x, 1\/5 in decreasing order.\nAnswer: 0.4, 1\/5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3216*n**3*v**2 - 2*n**2*v**2 + 68*n*v**2 - n + 2*v**2 wrt n?\nAnswer: -19296*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -996008 rounded to the nearest one hundred thousand?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -24*s**4 - 6*s**2 - 112*s - 25.\nAnswer: -576*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 1\/30 + -87\/10. Find the common denominator of 29 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 69\/483*(-1)\/1\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 2*f**3 + 8*f**2 - 19*f + 11. Let l be q(1). Solve -2*p - 3*h = l*h - 1, 0 = -5*p - 3*h - 7 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 91 and 38340302?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 17 + (9 - 14) + -18 + -69 + -5 + 5?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**19*f*f**(-17) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 6152, 24029, 53628, 94949, 147992?\nAnswer: 212757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16 = -w - 7. Let x = w - 5. Let f be 6*6\/(-270)*5\/(-2). What is the third biggest value in x, 9, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 0.2 (b) -478 (c) 241\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*h - 75271 = -29411. Let j = h - 3028. List the prime factors of j.\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -5267322, -10534642, -15801962?\nAnswer: -21069282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 26 a factor of (-8 - -932)\/4 + 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -s**2 - 7*s + 1. Let z be j(-6). What is the third derivative of 4*r**6 - 5*r**6 + 217*r**2 - 200*r**2 - z*r**6 wrt r?\nAnswer: -960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 3*a - 1)*(18*a - 84*a + 5*a) - 11 + 11 - 9*a**2.\nAnswer: 174*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -2 times -2529\nAnswer: 5058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*t + 4*t - 4 + 3.\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 961 is divided by 88.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 103 or 106?\nAnswer: 103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -19 + 19. Suppose -653 = -y - n*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -55, -85, -129, -193, -283, -405?\nAnswer: -565","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*sqrt(700))\/(sqrt(20)\/sqrt(320)).\nAnswer: -240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = t**2 - 3*t. Let c(x) = 3*x**2 + 20*x + 3. Let j(w) = c(w) + 7*o(w). Suppose 0 = -0*z + 3*z + 21. Let f be j(z). Round f to the nearest 1000.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-1)\/18*-15*(-8)\/(-10).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) be the second derivative of -3*y**5\/20 + 31*y**4\/12 - y**3 - 12*y**2 - 514*y. What is the second derivative of z(x) wrt x?\nAnswer: -18*x + 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**3 + 4*g**2 + 7*g + 1. Suppose -5*d = 4 - 39. Let q = -2 + d. Suppose 0*b = q*b - 25. Calculate i(b).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -478397 smaller than -478397?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*v - 1093 = -7*o - 1080, 4*v = 2*o + 10 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 378993?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let a(q) = q - 2. Let r be a(6). Suppose 2*i - 12 = r. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 7 divided by -1627\nAnswer: -7\/1627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -i**4\/2 + 40*i**3\/3 - 41*i**2\/2 + 2*i - 11. Find the second derivative of a(g) wrt g.\nAnswer: -12*g + 80","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 - 1 + 3)*(1 + 97 + 8)*(-4 - 5 + 2)*(2*n - 6 + 4 + 0*n).\nAnswer: -2968*n + 2968","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = p**2 - 4*p + 1. Let u be y(6). Suppose -2*v = -u - 77. What are the prime factors of v?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 18400 is divided by 347.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 88, 0, -5 in increasing order.\nAnswer: -5, 0, 88","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*n + 23110 = 6868. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 16473 + -10177. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 15259 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*w - 16, -3*w + 163 + 464 = 5*g. Calculate the remainder when g is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0 + 0.1. Let i be (-5)\/4*(-27)\/(-180). Let t = 1\/176 + i. Which is smaller: f or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 - -19. Let z = 16 + k. Calculate the remainder when 36 is divided by z.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*o**2 + 18 + 18 - 12*o**2 + 96*o - 108*o.\nAnswer: -4*(o + 3)*(2*o - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Total of -19036.5 and 592.751.\nAnswer: -18443.749","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hxxsshhsh. What is prob of picking 3 h?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {r: 6, x: 2, e: 1, h: 3, m: 5}. What is prob of picking 2 r and 1 x?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = 13*c**2 - 16*c + 12. What is the tens digit of i(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be -3 + 3*4\/(-6). Let x(s) = -4*s - 7. Let y(k) = -9 - 1 - 6*k - 1. Calculate u*y(v) + 8*x(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 4817269459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 1900 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Total of 35766262 and 2.18.\nAnswer: 35766264.18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be 268\/(-18) + (-85)\/765. Put 47, b, 5 in descending order.\nAnswer: 47, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -64587.78 to the nearest one hundred.\nAnswer: -64600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 539 * -49.4971\nAnswer: -26678.9369","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 231082 is divided by 77010?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 4947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 932, 936, 942, 950, 960, 972?\n\"Answer: n**2 + n + 930","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 168 and 20872.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b = -18173374 - -18173319.000124. Let f = -55 - b. What is f rounded to 5 decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) = -468*r**2. Let u(y) = 18*y**2 + 2. Determine u(f(o)).\nAnswer: 3942432*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 111 divided by -103\nAnswer: -111\/103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 26, -406, -4, 1, -0.2, 2\/5 in increasing order.\nAnswer: -406, -4, -0.2, 2\/5, 1, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 17 in 3, 2\/9, -10, 0.4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2348 - 2348. Let h(m) be the third derivative of d + 0*m - 1\/14*m**3 + 1\/420*m**5 - 1\/84*m**4 - 8*m**2. What is v in h(v) = 0?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find h, given that 4*h**3\/5 + 24*h**2\/5 - 108*h - 3888\/5 = 0.\nAnswer: -9, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 51 minutes before 11:24 PM?\nAnswer: 10:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 10:53 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -12 * 1974\nAnswer: -23688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h = 350 + -351. Let z(c) = c**3. Let w(j) = 18*j**3 - 13. Suppose -m = 3*m - 12. Let i(a) = h*w(a) + m*z(a). Differentiate i(r) with respect to r.\nAnswer: -45*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be 3 - -5 - (0 - -3). Let g(j) = 11*j**2 - 5*j - 2. Let o(p) = 6*p**2 - 2*p - 1. Let l(n) = y*o(n) - 2*g(n). Give l(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 129 - 91. Let p = o + -20. Calculate the highest common divisor of p and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -97\/76834 and 85\/129306?\nAnswer: 5301546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0 in -3, 0.3, 4\/7, -3\/5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -730014, -1460028, -2190042, -2920056?\n\"Answer: -730014*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-54575)\/200)\/(-59) + 6\/16.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 10 - 1318218?\nAnswer: -1318208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 3 = 1. Suppose u - 4 = -v. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 2529 + -314. Suppose -b + 5*i + x = 2*i, 6615 = 3*b + i. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 3\/(-2) + 119\/(-14). Let h = g + 9. Let j be 1 - (3 - 4 - h). Let x(q) = -5*q + 1. Calculate x(j).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 22797.\nAnswer: 3, 17, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + (sqrt(3) - sqrt(30)\/(sqrt(10)*2)) + (sqrt(30)*3)\/sqrt(10).\nAnswer: -5 + 7*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*v + 3*u + 2 = -10, 5*v - 5*u - 30 = 0. Let q be (-2)\/6 - (-5 + (-8)\/v). Let w be -8*(-1*2 + q\/4). Solve -4*a + 2*d = -10, -w*a + 7 - 18 = 5*d for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 134524 divided by 33631?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = h**2. Let y(s) = -17*s**2 - 19*s - 2. Let p(v) = 51*v**2 + 60*v + 7. Let f(c) = 2*p(c) + 7*y(c). What is f(x(g))?\nAnswer: -17*g**4 - 13*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 3.8 plus -652885841?\nAnswer: -652885837.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find b such that 477*b**2\/2 + 336*b + 195\/2 = 0.\nAnswer: -1, -65\/159","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = 58*x. Let z(g) = -2*g. Determine z(q(c)).\nAnswer: -116*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = -3 + 3.9. Let n = 0.8 - z. Let r = -0.06 + 2.06. Is n less than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(a) = a**3 - 2*a**2 - 19*a - 12. Give v(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 381381, 381185, 380989, 380793, 380597, 380401?\n\"Answer: -196*v + 381577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-3)\/(-6) - 2\/(-4). Suppose -2*b = 4*g + 6, w = -2*g + b - 0. Let l be (1 - 2) + 2 + -9. Sort -5, 0, g, l in ascending order.\nAnswer: l, -5, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -74 + 13006762*p - 9*p**2 - 13006762*p.\nAnswer: -9*p**2 - 74","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -1206, -5, 0, 5 in increasing order.\nAnswer: -1206, -5, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -32282*j. Let y(n) = 608*n**2. Give t(y(f)).\nAnswer: -19627456*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 - -4. Let f be 5*h*(-2)\/(-4). Let s be (4\/5)\/(-8 + (-287)\/(-35)). Solve 4 = f*p - s*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 886484?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Multiply -1.2 and 0.03.\nAnswer: -0.036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g be (10\/(-15))\/((-5)\/3). Put -5, 1.4, g, -1 in decreasing order.\nAnswer: 1.4, g, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence iii when three letters picked without replacement from {i: 7, u: 12}?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -509 - 9?\nAnswer: -517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 48 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.8724136 years to months.\nAnswer: 10.4689632","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1055?\nAnswer: 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Put 5, 8395, -4527 in increasing order.\nAnswer: -4527, 5, 8395","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Add 10450669990 and 2.\nAnswer: 10450669992","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 294348 divided by 6?\nAnswer: 49058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v**(-2\/3)\/v)**47)**(-6\/7)\/((v**(3\/7)*v\/(v\/(v\/(v*v**(-3\/2)))))\/(v**(-3)*v**(-1\/6))) assuming v is positive.\nAnswer: v**(1303\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 149\/7890 and 42\/1595.\nAnswer: 2516910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2826?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-18)\/3 + (-8027)\/(-23)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(c) = -4*c**3 - 5*c - 4. Let w(n) = -n**3 - n - 1. Let k(g) = -l(g) + 5*w(g). Suppose 0 = -4*z + 3 + 13. Suppose -4 = z*a + 4. Give k(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 15068 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2\/(0 - -2*(-1 - -2)). Let s be -4*(44\/(-64))\/x. Which is greater: s or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be (5 - 37)*1\/(-2). Calculate the greatest common factor of g and 64.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2692, 5382, 8072, 10762?\nAnswer: 13452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1758510965 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -70\/3 and -1 + (-476)\/24 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: (-4*1\/3)\/(18\/(-3))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*w - 12 = -20 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express -25*d**4 - 4*d**4 + 2*d**4 + (2 - 1 - 2)*(-2*d**2 + 2*d**2 - d**4) + 2*d**2 - 4*d**2 + d**2 + 2*d**4 as p*d**3 + a + j*d**4 + f*d + v*d**2 and give j.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-8 - -1) + 10 + -3 - -19.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + (sqrt(832)*-1*-2)**2 - (4 + -1 + (sqrt(13) + -1 + -4)**2).\nAnswer: 10*sqrt(13) + 3287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-6)\/4*644\/(-21). Solve o + 51 - p = 0 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -30809, -123228, -277255, -492884, -770109?\n\"Answer: u**3 - 30810*u**2 + 4*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 230 and 87170?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = u + 21. Let c be (-2)\/8 + 3\/12. What is the tens digit of k(c)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -31*g + 36*g = 35, -26 = -5*s - 3*g for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 2232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 42 and 3.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 355 = -7*a - 142. Let s = a + 99. Solve -4*n = -5*z + s, 10*z - 5*z = -4*n + 12 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = 74 - 56. Calculate the greatest common divisor of t and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -6833 or -143516\/21?\nAnswer: -6833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 t when two letters picked without replacement from {s: 1, x: 4, m: 4, v: 1, t: 7}.\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -29*f + 24*f - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 230 = -4*a, -a + 5*n = -3*a + 124. Let w = a - 102. Is 2\/5 + (-297)\/w a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5771704.\nAnswer: 2, 17, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1250, -5088, -11354, -19928, -30690, -43520, -58298?\nAnswer: -74904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 56 is divided by 1\/(-6) - 230\/(-12)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 13.2089 - 144.4999. Let c = 0.291 + y. Let v = c + 131.00000097. Round v to seven decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -24*d - 93 = 12*d - 363 - 126 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"} {"text":"Question: Let g = -20 - -14. Let q = 21 - g. Suppose h - 28*k = -29*k + 76, -6*h = -2*k - 480. Calculate the remainder when h is divided by q.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -k**3 - 16*k**2 + 2*k + 34. What is the least common multiple of q(-16) and (-1)\/6 + (-610)\/(-60)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 5 or 13492\/2109?\nAnswer: 13492\/2109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 1298641 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -3*s. Suppose -64*q = -72*q + 32. Let d(k) be the second derivative of 0 + 0*k**3 + 0*k**2 - q*k + 1\/12*k**4. What is d(u(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l - 10 = -1. Let o = 19.4 + -1.4. Let n = o - 13. Which is the smallest value? (a) l (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5 (base 16) to base 2.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 4*w + 16 = 0, -w + 5 = -4*x + 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is next in 137135, 137133, 137129, 137123, 137115, 137105?\nAnswer: 137093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (p*p**(2\/7)\/p)**(-14)*p**(-4)\/(p*p\/(p*p*p**0)*p)*(p\/p**(-10)*p*p*p\/(p**(-1\/6)*p))**(8\/9) assuming p is positive.\nAnswer: p**(73\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = i - 5, -g + 46 = 3*i + 9. Suppose -g = 2*d + 42. Let b = 92 + d. Calculate the highest common factor of b and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -t - 4*t. Suppose -2*g + 10 = t, 3*n + 15 = 4*g - g. Factor -4*o**3 + n*o**2 - o**2 + 0*o**2 - 3*o**4.\nAnswer: -o**2*(o + 1)*(3*o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 440, 3355, 11246, 26603, 51916?\nAnswer: 89675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} {"text":"Question: Convert -a (base 14) to base 16.\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert 37806.41 centuries to months.\nAnswer: 45367692","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -3 - (1\/3)\/((-2)\/(-12))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -p**5 - p**5 - p**5 + (0*p**3 + 3*p**3 - 4*p**3)*(2*p - 2*p + p**2) + 2*p - p**5 - 2*p - 3*p**5 + 3*p**5 + p**5.\nAnswer: -4*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 225207 divided by -11853.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) = i**3 + 6*i**2 - 3*i - 2. Let h be k(-3). Let f = -31 + h. Suppose 4*p = -3*s + 22, -3*p + 3 + 5 = -2*s. Solve 5 = -f*a + s for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kkd when three letters picked without replacement from {k: 6, d: 2, a: 7}.\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate -166752 - -12615.\nAnswer: -154137","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:30 AM and 10:33 PM?\nAnswer: 663","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 + 1 + -3 - -4.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*z - 3*n - 141, 2*z = z + 4*n - 59. Let t = -36 - z. Suppose t*r - 7*r + 1688 = 0. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0484371 - 2.456.\nAnswer: -2.5044371","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 584 minutes after 6:38 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*a + 3*a - 24 = 0. Find the first derivative of -9*n - 5 + n + 8*n + 36*n**a wrt n.\nAnswer: 144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 345*b**3 - 171*b**3 - 176*b**3.\nAnswer: -2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -1 greater than -12878\/6595?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b be (10 - 1)\/(-9 + 8). Let c = b + 9. Let j be 2\/(-6) - 7\/6. What is the smallest value in c, j, 5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -4.5 + 4.4999946. Round z to 6 decimal places.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -1411 + 1406. What is the nearest to -1\/4 in b, -2\/9, -0.35?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2685 and 24702?\nAnswer: 123510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(d) = 4293*d**3 + 12*d - 3. Let o(s) = -150256*s**3 - 416*s + 104. Determine -208*h(y) - 6*o(y).\nAnswer: 8592*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(k) = 11*k**2 - 2*k - 1. Let w be d(2). Let g be 2\/6 + 22*(-9)\/(-54). List the prime factors of 48\/(g + w\/(-12)).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(100)*1*-6 - sqrt(100))*2)\/(sqrt(36)\/sqrt(98)*6).\nAnswer: -245*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) = -p**3 + 8*p**2 - 2. Let g be q(8). Let a = -3 - -3. List the prime factors of 18 + a + -2 + g.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((325\/26)\/(-25))\/((6\/(-2))\/(-15)).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:43 AM and 1:37 PM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -4737, -9567, -14417, -19287, -24177, -29087, -34017?\nAnswer: -38967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.52 and -574?\nAnswer: -298.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(i) = i**2 - 5*i. Let m be x(6). Factor 0*u**3 + u + 4*u**3 + u**4 + 3*u + m*u**2 + 1.\nAnswer: (u + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 696 and 792?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 4, -1.6, -0.5, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*c + 0*j - 17 = -c - 3*j, 0 = -3*j. Solve -2 = 5*a + 16*g - c*g, g + 2 = a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1026\/478729 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -1696, -1697, -1698?\n\"Answer: -q - 1695","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((((sqrt(2299) - (sqrt(2299) + -2)) + 2)*4)**2 - (3 + (sqrt(2299) + 2 + sqrt(2299))*-3)).\nAnswer: 261 + 66*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 8141299 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 0.05 > -0.069?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 0*t = 18. Let w be 2*(-2 + t\/10)*-125. Let a = w + -46. Let b(p) = p**2 - p - 5. Give b(a).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor v**3\/4 + 3427*v**2\/4 - 2572*v + 1715.\nAnswer: (v - 2)*(v - 1)*(v + 3430)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 15\/4 of a millennium in months?\nAnswer: 45000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 258.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -115, -105, -95, -85, -75, -65?\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*c = 3*c - 15. Let j(p) be the third derivative of 0 - 1\/60*p**6 - 3\/20*p**4 - 2\/25*p**5 + 0*p + 2*p**2 - 2\/15*p**c. Determine o so that j(o) = 0.\nAnswer: -1, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1156626?\nAnswer: 2, 3, 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -239645763\/8 or -29955721?\nAnswer: -239645763\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = 2*z + 10. Let t be g(-7). Let i = t - -4. Suppose i = -3*f + 26 + 679. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -21\/1376 and -1\/53664.\nAnswer: 53664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 437541584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = -x**3 + 40*x**2 + 20*x - 804. What is j(40)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*u + 1 = 5*w - 4, -5*w + 35 = 3*u. Let h be 6\/(-30)*u*7251\/12. Let o = h + 591. What is the common denominator of -103\/160 and o?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -89.04 - -1.04. Let u = -8.681 - -4.681. What is the second biggest value in g, 0.2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -78.1 + -7.2. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(h) = 14*h - 30*h + 18*h + 12 - 2. Calculate the remainder when n(6) is divided by 19.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*m - 3*x - 30, 82 = -m + 6*m + 3*x. Let q be 132\/21 - 6\/21. Let z be 2\/3 - (-206)\/q. What is the highest common factor of m and z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 78 = -w + 3*i, 3*w - 204 = -3*i. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 43, 4, 1\/3, -2, -5.6?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor r**3\/4 - 1791*r**2\/4 - 136277*r\/2 + 68586.\nAnswer: (r - 1932)*(r - 1)*(r + 142)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Convert 2.04969 centuries to months.\nAnswer: 2459.628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*a + 78 = -143. Put -4, -3, 5, a in decreasing order.\nAnswer: 5, -3, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: -10011101101 (base 2) to base 10\nAnswer: -1261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 5341 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: b\"What is the lth term of 2554425, 5108868, 7663311?\n\"Answer: 2554443*l - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t = -132 - 58. Let a be 238\/85 + (-3)\/(-15). Suppose -a*v = -j - 12 + 23, -2*v = -6. What is the remainder when t is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum -23.2 and -1754.\nAnswer: -1777.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = 3*l**3 + 84*l**2 - 179*l + 187. Let j(c) = -2*c**3 - 41*c**2 + 89*c - 94. Let t(n) = -5*j(n) - 3*z(n). Let s be t(45). Which is bigger: 9\/22 or s?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from phkhhhphpphjjkj. Give prob of picking 3 j and 1 k.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1\/1361791207 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -6 in 2, -1\/2, 9?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/2458 and -107\/10.\nAnswer: 12290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(l) = 1487*l - 1085568. Give m(730).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 118679418?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 6893 (base 11) in base 12?\nAnswer: 52a8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((v*v\/((v\/(v\/(v\/(v\/(v*v**(2\/9)\/v))))*v*v)\/v)*v**(-3))\/(v*v**(1\/3)*v)**(-10\/3))\/(v**5*v\/v**(-3))**(-4\/5) assuming v is positive.\nAnswer: v**(574\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-15)\/5 - (-30)\/8. Which is the smallest value? (a) -0.5 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(r) be the second derivative of -13\/2*r**2 + 0*r**3 - 1\/3*r**4 - 2*r - 12. Let u(g) = 2*g**2. Give u(f(d)).\nAnswer: 32*d**4 + 208*d**2 + 338","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -6 = -96*s + 95*s - 2*q, s = -5*q + 12 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 5165 greater than or equal to 5165?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m**2 - 508255848*m - 32290500878274888 = 0 for m.\nAnswer: -127063962","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 13475489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is -7*9\/(-252)*1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 53\/150 and 43\/225.\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*k - 2*k + 28 = 0. Suppose -2*o - 210 = -k*o. Suppose -4*t = -o + 2. Solve 0*v - 4*v - 3*i = -17, -t = -2*v - 2*i for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 0.5, -0.044, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -1153.4285 to the nearest 100.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 340 and 89347682?\nAnswer: 893476820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that m**4\/3 + 4*m**3\/3 - 26*m**2 - 108*m - 81 = 0.\nAnswer: -9, -3, -1, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 79070 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Express -t + 2*t**2 + t**3 + 3 + 13*t - 9*t in the form p*t**3 + r + z*t + i*t**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.07 - -4.93. Let y be 0 + -2 + -3 + 6. Let s be (y\/6)\/(2\/(-15)). What is the third smallest value in 0, u, s?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 374 minutes after 12:12 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:32 AM and 4:16 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/21)\/(((-3)\/5)\/(8400\/4500))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 3 plus 5519.951?\nAnswer: 5522.951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 17465 to the power of 1\/3, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = 2*j**2 - 3*j. Suppose 13*a - 748 = -722. Let h(x) = x**3 + x**2 - x. Calculate a*h(b) - o(b).\nAnswer: 2*b**3 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -q**3 - 13*q**2 - 30*q + 5. Let y be w(-10). What is the nearest to 1 in y, 2\/17, 2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.2568 + -0.25. Round a to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 375178056 and 6066?\nAnswer: 2022","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = -3*q**2 + 2*q - 1. Let i(u) = -613*u**2 - 35*u + 2. Let a(z) = i(z) - 2*r(z). Find the second derivative of a(f) wrt f.\nAnswer: -1214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in -1\/4, 0.5, -4, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0, 29, 3, -21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put 388, 0, -21, -30, -4, -2 in decreasing order.\nAnswer: 388, 0, -2, -4, -21, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is (20 + -21)\/((-14)\/(-4)) + (-5 - -5)?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert 187218.6 weeks to microseconds.\nAnswer: 113229809280000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 59\/7048 and -55\/5398.\nAnswer: 19022552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18742546.\nAnswer: 2, 9371273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} {"text":"Question: Solve 51*f + 5705819 = 5708420 for f.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1)\/(4\/32) + (1971\/(-162))\/((-3)\/(-18))?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = 5*u**3 - 11*u**2 - 2*u. Let p(o) = 6*o**3 - 12*o**2 - 4*o. Let t(x) = -5*g(x) + 4*p(x). Suppose 3 = -5*w + 23. What is the tens digit of t(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v - 8. Let p(i) = -21*i + 57. Let j(k) = 6*n(k) + p(k). What is j(6)?\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 27 and 3753?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = -f**3 - 65*f**2 + 609*f - 24264. What is g(-77)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many microseconds are there in 31\/2 of a millisecond?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Sum 2392 and -195.\nAnswer: 2197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round -56.9565419 to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 17264?\nAnswer: 2, 13, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (7 + 3 - 1)*(w - 7*w - w).\nAnswer: -63*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v be 21\/84 + (-1)\/4. Suppose y = 2 - 1, v = -k + 5*y - 4. Is -9 less than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*h**2 + 52 + 9*h**3 - 49 - 2*h - 15*h**3 to the form p*h + t*h**2 + l*h**3 + d and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -2*p**3 - 10*p**2 + 9*p + 6. Let w(b) = -b**3. Let x(h) = f(h) - 3*w(h). What is x(9)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 38556 and 307020?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v = 89 - 58. Suppose 4*g - 197 = v. List the prime factors of g.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -2724 less than -2727?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**(-1)*b*b)\/b)**(3\/2)*b**(2\/21)\/b*(b**(-6)*b)\/b*(b**5*(b\/b**(-1\/8))\/b)**(-14\/9) assuming b is positive.\nAnswer: b**(-3749\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 94244629.4 or -1?\nAnswer: 94244629.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 2\/(-4) + 5\/2. Suppose -5 = -4*w + 3*x, 2*w = 7*x - 3*x. Let j = w + p. What is the remainder when 10 is divided by j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*m**4\/9 + 82*m**3\/3 + 2480*m**2\/3 - 7688*m\/9.\nAnswer: 2*m*(m - 1)*(m + 62)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 41 is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be 4\/(-6) + 2044\/(-21). Let x = -151 + -158. Let o = g - x. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 78 and 546?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 5 - -26f?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 x, 2 a, and 1 c when four letters picked without replacement from aaaaxczoacyzz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -142739, -285479, -428219?\nAnswer: -570959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51 and 663.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in twenty-one eighths of a decade?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*p + 3818 + 34917. Suppose c + 4 = 0, 3*w - 5*c = -11797 + 80058. Let i = p + w. What is i rounded to the nearest 10000?\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -g**2 + 6*g - 7. Suppose 2*y = -4 + 14. Let t be q(y). Let c be t + (-6)\/(-3) + 0. Solve 5*m + 0*d + 5*d - 5 = 0, c = d - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = t**2 - 26*t + 180. Let a be ((-16)\/(-5))\/(10*(-9)\/(-225)). Does 2 divide w(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*d + 16, 3*h = -2*d - 58 + 38 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*x + 3*p = -0*p - 15, 5*p = x + 3. Suppose -6*h = -x*h. Solve -2*f + 13 = 3*b - h*f, 4*f = -b + 21 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (0 + 0)*(-2)\/2. Let s be w - 7\/(21\/(-6)). Determine f, given that -11*f**2 + 4*f**4 + 2*f**5 + 6*f**3 - s*f**4 - 4*f**5 + 9*f**2 - 4*f = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 l, 2 o, and 1 s when four letters picked without replacement from {l: 1, r: 4, o: 4, x: 3, s: 7, c: 1}.\nAnswer: 14\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Express 2121*i**2 + 563*i**2 - 479*i**2 + 1067*i**2 + 31*i**2 as b*i + u*i**2 + j and give u.\nAnswer: 3303","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is (-2)\/2*(-1)\/61*(-2)\/1*-1?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -y = -3 + 4. Let z = 9.76 + -12. Let j = z - -2.44. What is the nearest to j in 0.5, 1, y?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(x) = 7*x**2 + 3*x + 2. Let p be (-6)\/8 + 10\/(-8). Let a be y(p). Let u = a + -5. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -5 + 2 + 3 - 7*d.\nAnswer: -7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -5\/7 (b) 6 (c) 0.3 (d) -1\/2 (e) 3 (f) 1 (g) 11\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 2*s + 300 = 0. Let a be 4\/(-18) - s\/45. Suppose w = o - 19 - 289, -2*w = a. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (100 - 38) + -77 - -131?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2765383?\nAnswer: 2765383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -12*s + 21. Let n be i(3). Is 8 a factor of ((-48)\/(-40))\/((-2)\/n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5854 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:29 AM and 2:51 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**2 + 26*k + 144. What is the units digit of w(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1068097 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-24)\/(-14))\/(190\/(-70) + 3).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -222333 - 323?\nAnswer: -223322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 68759?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -256*t**3 + 3*t**2 + 5*t - 5. Let q(c) = 255*c**3 - 3*c**2 - 4*c + 4. Give 4*p(z) + 5*q(z).\nAnswer: 251*z**3 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 630515?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 294335 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -3*s**2 + 1090*s + 129609?\nAnswer: -6*s + 1090","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -665*o + 331*o + 336*o = 0. Solve o = -5*h + 22 - 52 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(84)\/(sqrt(588)*6) - ((sqrt(77)*2)\/sqrt(11) + -5 + sqrt(35)\/sqrt(5)))**2.\nAnswer: -625*sqrt(7)\/21 + 21925\/252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 72*q + 111*q = -32 - 3262 for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let v be 12\/(-4) - (-13)\/4. Let s = 62 - 67. Let y = 2 - 3. Which is the second biggest value? (a) s (b) y (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(66)\/(sqrt(6)*2) - (sqrt(704) + (sqrt(704)*-1)**2) - (-3 + -1*sqrt(33)\/sqrt(3)).\nAnswer: -701 - 13*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -18715559*t**2 - 8792726.\nAnswer: -37431118*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 7*j - 5*j + 0*j. Let z(v) = -5*v - 2. Let x be z(8). Let a(g) = 60*g - 21. Let n(b) = -6*b + 2. Let c(y) = x*n(y) - 4*a(y). Calculate k(c(f)).\nAnswer: 24*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j = -120\/7 - -116\/7. Let b = -7 + 5. Sort b, j, -1 in increasing order.\nAnswer: b, -1, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -n + 13. Let c be q(15). Let j be ((2 - 7) + 133)*(-6250)\/c. Round j to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 divided by 780\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + -41 + (-7 + -4 + 26 - 11) - -10?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 76344609 a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from vssnnsgvtsnc. What is prob of picking 1 c and 1 n?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5*((-1*5*sqrt(95)*-3)\/(-1*sqrt(125) + sqrt(720)*-1) + 2).\nAnswer: -75*sqrt(19)\/17 + 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor -24 + 2\/3*t**2 - 10\/3*t.\nAnswer: 2*(t - 9)*(t + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-8 - 8 + 5)*(4 + 0 - 2)*(-9 - 4*u + 9) to c + p*u and give p.\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -831*b + 802*b = 0. Solve -12*n - 43 + 7 = b for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*b - 2*w = 36, -14 = -b - 2*w - 5. Suppose b*r - 3568 = -r. Calculate the remainder when r is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*f + 140 - 608 = -0*f + 8*f for f.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -23 + 2 + (15 + -15 - -65)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 4.3 take away 0.825277881127?\nAnswer: 3.474722118873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p = -364 - -207. Let h = p - -157.0323. Round h to 3 decimal places.\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = -340673\/1785 - -1336\/7. Is 0 greater than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 o and 1 s when three letters picked without replacement from {b: 1, j: 1, o: 5, s: 2, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is next in 5579, 11194, 16809?\nAnswer: 22424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Round 70792055.5 to the nearest 100000.\nAnswer: 70800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let x = -18 - -25. Suppose -5*r - 13 = -4*m + 6*m, -4*r = 5*m + x. Let z = 6 + r. Solve 0 = c + 4*p + 22, -z = -c - 0*p + p for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -2.6 * 3.583.\nAnswer: -9.3158","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -23*d - 35. Determine m(17).\nAnswer: -426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s = -933 + 962. Calculate the remainder when 77 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - d - 1 = 23, t - 5*d = 8. What is the smallest common multiple of 7 and t?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*v**2 + 2 - 2)*(52827*v**2 + 52832*v**2 - 133*v - 105650*v**2).\nAnswer: 18*v**4 - 266*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1289082 is divided by 429692.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oooyyyy. Give prob of sequence ooy.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -27*p**4 - 27*p**3 + 2*p**2 + 350*p?\nAnswer: -648*p - 162","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(-24)*72\/18)\/(580\/174)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Divide 455 by -91.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00052345592 rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-3)\/(-18))\/(1\/4). Suppose 5*t + 9 = 5*q - 6, 0 = -4*t + 2*q - 2. Let k = 6.7 + -7. Which is the closest to 0.1? (a) w (b) t (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) = d. Let a be (2\/(-6))\/(2\/(-12)). Let z(u) = -2. Calculate a*n(v) - z(v).\nAnswer: 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 0*h**2 - h**2 - h**2. Let q(m) = 5*m**2 + 5*m - 23. Let k be q(-4). Let c(j) = 3832 - 3832 + k*j. Determine c(o(p)).\nAnswer: -74*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate 21 + -26927135568248.\nAnswer: -26927135568227","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 904 a factor of 2487084868?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 3, 0, 14.\nAnswer: 0, 3, 12, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 28296 to the nearest integer?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 206*n + 11529. List the prime factors of t(0).\nAnswer: 3, 7, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 130778, 130709, 130640, 130571?\nAnswer: 130502","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g = 14 - 22. Let f = g + 12. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = 5*m**2 - m. Let a be b(1). Let t = a + 0. Let u be (t - 2) + 1 + 0. Solve u*j + 4*p - 16 = -p, -3*j + 11 = 4*p for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 130994?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put 5, -2, -11, -4 in descending order.\nAnswer: 5, -2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = m**2 + 5. What is the remainder when o(4) is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (5 - 6) + -1 + 1 + -1\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/6 of a day?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 403*h - 1199*h + 401*h + 396 = -401*h for h.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 138844 minus -9305076.1?\nAnswer: 9443920.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -7. Let d(f) = f + 6. Let u(x) = 3*d(x) + 2*h(x). What is the units digit of u(5)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1803 - 2.\nAnswer: 1801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q = 20 - 14. Let n be 73*-1*(q + -3 + -4). Suppose -n = -3*a - 28. Calculate the highest common factor of 105 and a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve m - 10 = -5*p, -m - 111*p + 115*p - 8 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-441)\/(-21)*24\/(-2184)?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -6 (base 15) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7)\/(-1) + (-123)\/41. Solve -2*z = -5*l - 1, -4*z = h*l + 7 + 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.2 times 0.15\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from rserfmeemmemsssrrmr. Give prob of picking 1 m and 2 r.\nAnswer: 50\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-15)\/45 + -1*(-2)\/15. Is -27 at least y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -b**3 - 3*b**2 + 6*b + 4. Let h be z(-5). Let j be ((-8)\/2)\/((-3)\/h). Suppose x = -4*x + 3*i + 3, 4*x + 5*i = j. List the prime factors of x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1872809 * 0.3.\nAnswer: 0.05618427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i = 5206012 - 5212292.986. Let r = -6290 - i. Let t = 0.014 + r. Which is greater: 0.3 or t?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23 + 53 + 38 - 48*x**2 + 79*x**2 - 38*x**2.\nAnswer: -7*x**2 + 68","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -48*k - 12310. Let z(f) = 24*f + 6155. Let n(q) = 6*p(q) + 11*z(q). What is the derivative of n(i) wrt i?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*j + 19*h - 30 = 16*h, 3*j + 4*h - 28 = 0 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = -0.436 + 0.5. Let p = -0.039 - -0.033. Let k = p + a. What is k rounded to two decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -1046*n + 1 = -1045*n for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i be 380 + (5 + -1 - 1). Suppose 85 = 9*v - i. Is 4 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15814 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - (10 - (15 - -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 50 + 1 - 29 + 44 + 51*w**2 - 58*w**2 in the form t*w**2 + s + z*w and give t.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12\/(-8)*(-384)\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -2*g - 8. Let t be (-2)\/(8\/2)*12. Let j be v(t). Let x be -1 - 7 - (j - 7). Put x, -2, 4 in descending order.\nAnswer: 4, -2, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = -12*p**2 + 1189*p + 474. Calculate j(100).\nAnswer: -626","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 262205*g**5 + 195*g - 120 wrt g.\nAnswer: 5244100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*v = 8*v + 9. Let d(m) = m**2 + 4*m + 3. Let f be d(v). Let j(g) = g**3 - g - 2. Determine j(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-3*-2*sqrt(495))\/(-1*sqrt(176)))\/(sqrt(36)\/(sqrt(100) - sqrt(4) - sqrt(4)) + sqrt(9) - (sqrt(63)\/sqrt(7) - sqrt(9))*-4).\nAnswer: -9*sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 4 (base 12) to base 16.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 879321164 to the nearest integer?\nAnswer: 958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j(u) = -111*u**2. Let o(w) = 113*w - 480*w + 373*w. Determine j(o(h)).\nAnswer: -3996*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*(sqrt(156) + -2*sqrt(156)))\/(sqrt(12) + 2*sqrt(768) + sqrt(12) + sqrt(12)).\nAnswer: 4*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, -5574, 177, -2, -4.\nAnswer: -5574, -4, -3, -2, 1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 833 and 196?\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -3*u**3 - 11*u + 9. Let f(g) = -2*g**3 - 6*g + 5. Let w be (3 - 126\/35)\/(3\/(-30)). Give w*a(c) - 11*f(c).\nAnswer: 4*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-27)\/(-3))\/((-5)\/(-80)*12).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -5214255 (base 6) to base 16.\nAnswer: -3d4db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 352821646?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) = b**3 - 8*b**2 + 16*b + 17. Calculate l(5).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((5*sqrt(121))\/sqrt(11) + -1 + sqrt(88)\/sqrt(8) + sqrt(11))**2 + ((sqrt(22) + (sqrt(22) - 2*sqrt(22)))*-5)\/sqrt(200).\nAnswer: -14*sqrt(11) + 540","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Work out -254905803229 - -0.2.\nAnswer: -254905803228.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 15*y + 15. Calculate the least common multiple of t(3) and 22.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -4*r**4 - 7260*r**3 + 72872*r**2 - 233472*r + 233600 = 0.\nAnswer: -1825, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -3 - ((-5 - (1 - 1)) + 3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 3\/175 (b) 2\/7 (c) -3 (d) -2 (e) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -3412 (base 6) in base 2?\nAnswer: -1100100000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 432813*g**3 - 6*g**2 - 71*g - 122.\nAnswer: 2596878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -32, -603, -0.2?\nAnswer: -603","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor -3\/4*z**2 + 0*z + 0 + 3\/2*z**3 - 3\/4*z**4.\nAnswer: -3*z**2*(z - 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -l = -f + 3, -5*f + 14 + 1 = 0. Suppose 12 = 2*h - l*h. Solve 4*r + 5*v = -h, 3*r - 6*r = 5*v + 2 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 35141, 35121, 35101?\n\"Answer: -20*u + 35161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -2*j + 2865, -p - 28*j + 942 = -23*j. Solve 955*u - p*u - 12 = 0 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 5072\/(-18) + (-3 - (-50)\/18). Let s = -201 - j. Let f(l) = l**3 - 3*l**2 - 5*l + 2. Let z be f(5). What is the highest common factor of z and s?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*j = -5*f + 24, 0 = 9094*j - 9099*j + f + 87 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = -2*i**2 + 128*i - 2007. Let p be y(35). Solve p*z = 57*z + 102 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (15 + -9)*(-56)\/(-42)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -48 + 36. Let o = 18359 + -18361. Which is the closest to g? (a) -0.2 (b) o (c) 0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -70*s = 2*s - 576 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 12*f - 6 - 2 + 11 - 4*f.\nAnswer: 8*f + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 49 a factor of 1 - 0 - 3\/(3\/(-175))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 30 - 28. Let f(h) = -h**3 - 6*h**2 + 2*h - 2. Let r be f(-7). Suppose -s + r = k*s. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3768783 to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 126516, 126513, 126510, 126507?\nAnswer: 126504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 4248624*f**3*h**5 + 10*f**3*h**2 + 214*f**3*h - 3441*f**2 - f*h + f - h wrt h?\nAnswer: 84972480*f**3*h**3 + 20*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -243 - -5aa2?\nAnswer: 585b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = 37*b**2 - 4*b - 4. Suppose 3*m - 29 + 5 = -5*t, -m - 2*t + 9 = 0. Is k(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (42\/6 - 5)*4. Suppose 11*p - 42 = f*p + 5*n, n = 0. Calculate the least common multiple of 8 and p.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 11871791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 221542, 222471, 223400, 224329, 225258, 226187?\n\"Answer: 929*g + 220613","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1340235069 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -10.9 (b) 2\/1811 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 35 + 0?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(-8) - (-3)\/(-14). Let t = -0.3 + 2.7. Let b = -0.6 - t. What is the closest to m in 0.3, b, 3\/2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 75475?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let y = -16 + 20. Differentiate 0 + 2*c**y + 2 + 0*c**4 with respect to c.\nAnswer: 8*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 783326?\nAnswer: 2, 17, 23039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is next in -8, 20, 80, 184, 344?\nAnswer: 572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 52\/5 of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -2*k - 5. Let u(p) = -p - 2. Let s be u(-6). Let q(y) = 4*y + 2*y + 7 - s - 5*y. What is -5*q(v) - 3*z(v)?\nAnswer: v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 16243, 13582, 10909, 8218, 5503?\n\"Answer: -z**3 - 2654*z + 18898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 2014 = -15*z. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 5, y: 1, w: 3}. Give prob of sequence ywv.\nAnswer: 5\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -3 (b) -2 (c) 26699\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = 11*b - 6. Let n be r(3). Is 25 at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (-23 + 38 - 25 - 6) + 26\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence tvv when three letters picked without replacement from vutivijuviivu?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 54\/(-45)*(-825)\/(-66)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -12 (base 8) to base 2.\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*i**2 + 2850*i - 8577.\nAnswer: 3*(i - 3)*(i + 953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -277 and -26.22?\nAnswer: 250.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in sixty-four fifths of a gram?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 5 + 3 + (-22 - (-9)\/3).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 92*f**3 + 2117*f**2 - 398982*f?\nAnswer: 552*f + 4234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l(f) = f**3 - 4*f**2 + 2*f. Let b be l(4). Suppose 0 = -r - r + b. Determine u so that -5\/2*u**r + 1\/2*u - 9\/2*u**2 + 1 - 13\/2*u**3 = 0.\nAnswer: -1, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, -0.03, 1, 26, -1.59, -1 in decreasing order.\nAnswer: 26, 1, 2\/7, -0.03, -1, -1.59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 642?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 5, 32, 0.076, 2\/9, -2, 0.2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-10*(-10)\/(-50))\/(4\/(-18)). Sort 3, -40, t in increasing order.\nAnswer: -40, 3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 20 - 58 - 1156*u + 22 + 16 as p*u + z and give p.\nAnswer: -1156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*w - 42 = -r, 2*w + 0*w + r + 33 = 0. Let v = w + 26. Let y = v + -10. Sort 3\/4, y, -0.3 in decreasing order.\nAnswer: y, 3\/4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 5926 divide 2182196166?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose z + 0 = 3. Let q be (0\/(-3))\/2 - 1. Let o be 2*q + 4\/3. Which is the nearest to 0? (a) z (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -119 + 7*h - 10*h + 438 + 15*h - 22*h to the form t + b*h and give t.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -52.3395 - 6.5825. Let t = u - -59. Round t to 2 dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 23.87 and -0.2?\nAnswer: 24.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -g + l = -4, -54*l - 12 = 4*g - 51*l for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let m be 1 - (4 - 3 - 10). Suppose 5*p = m*p + 345. Let y = 109 + p. Is 20 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 + -3 + (-1 - 1 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1302301.\nAnswer: 7, 11, 13, 1301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 1168363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1\/2, -235, -6, -1.3?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -297 - 19 = -2*c. Let z = 372 + c. What is z rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-33*w - 28*w + w)*(20 - 39 + 33)*(-2*w**2 + 4*w**2 + 0*w**2).\nAnswer: -1680*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -30*w = -39*w + 342. Suppose -2*t - k + 5*k = 0, -3*k = 3*t. Suppose t*p + 2*p = w. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 37, 87, 137, 187?\n\"Answer: 50*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c be 3216\/32 + 6\/(-4). Calculate the highest common divisor of 33 and c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 265748 is divided by 16608?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let k = 28 - 11. Suppose -d + 2*b = -0*d - k, 0 = -5*b - 25. Solve -4*g - d = 9 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3149042 to the power of 1\/3, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -1 - -6995524?\nAnswer: 6995523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -166*y + 58*y + 53*y - 115*y**3 + 55*y.\nAnswer: -115*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n be ((-96)\/64)\/((-2)\/4). Differentiate 16*k**3 - 263 + 100*k**n + 247 wrt k.\nAnswer: 348*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence wcw when three letters picked without replacement from wcw?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) = -4*d**2 + 3*d + 2. Give c(-5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/7? (a) 1\/3 (b) 3 (c) -17 (d) 6 (e) -37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h = 2242 + -2252. Let b(o) = o**2 + 10*o + 7. Give b(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 108 divide 12076128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 2029 less than 2026?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 - -0.4. Suppose 4*z = 10 + 10. Suppose -8 = z*g - 28. What is the second biggest value in q, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -18*x - 2*x - 57*x**3 + 4*x**3 + 20*x - 32*x**3.\nAnswer: -85*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Put -3\/7, -7\/6, -1 in decreasing order.\nAnswer: -3\/7, -1, -7\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 162, 156, 132, 78, -18, -168, -384, -678?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = 238*w + 51. Let y(i) = 57*i + 12. What is -3*p(x) + 11*y(x)?\nAnswer: -87*x - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.2*1923977.1.\nAnswer: -384795.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, w: 1, b: 2, j: 2, y: 2}. Give prob of picking 2 b.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 14, 70, 164, 296, 466, 674, 920?\n\"Answer: 19*p**2 - p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(j) = -6*j**3 - 6*j**2 - j + 4. Let z(m) = -7*m**3 - 7*m**2 - 2*m + 5. Calculate -5*c(i) + 4*z(i).\nAnswer: 2*i**3 + 2*i**2 - 3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = -3 - -7. Let u be (-24)\/144 - (0 - 38\/12). Solve a = q + 5*z - 3, u*q - 3*z + 15 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -1320 + 3?\nAnswer: -1312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-90)\/4)\/(-3)*(-2147)\/(-6441).\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 57 a factor of 270562698?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (1 - 4 - 0) + 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*j + 3516 = 18*j. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -8.6457 rounded to the nearest integer?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Convert 20cc (base 14) to base 5.\nAnswer: 140133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = -3*m. Let h(z) = 8*z + 3. Let l(t) = -t**3 + 13*t**2 - 2*t - 14. Let p be l(13). Let x(v) = -105*v - 40. Let f(y) = p*h(y) - 3*x(y). What is f(d(u))?\nAnswer: 15*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1535 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:06 AM and 1:57 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = 5*n - 5*n**2 + 23*n - 28*n. Let o(p) = -5*p. What is o(q(h))?\nAnswer: 25*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Multiply -7 and -0.67.\nAnswer: 4.69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 + 8*t**2 - t. Let u be l(-7). Suppose 0 = 3*j + 4*x - 29, 27 = 5*j + 5*x - 18. Let b = j + u. Calculate the remainder when b is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -116*g - 81*g - r = -389, -5*g - 60 + 45 = 2*r + 3*r for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 138?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let m(h) = 45*h - 29. Let u(l) = -36*l + 30. Let y(r) = -3*m(r) - 4*u(r). Give y(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1136501317?\nAnswer: 7, 162357331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*g - y + 63 - 17, 5*g - 137 = 3*y. Solve 30*n + g = 25*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence tp when two letters picked without replacement from mgmptgtmmgggitmig.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 0, 3, 6?\n\"Answer: 3*h - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(z) = -11*z**3 + 11*z + 17. Let s(c) = -5*c**3 + 5*c + 8. Suppose -5*v + 3*r + 2*r = -100, 4*r = v - 41. Give v*s(a) - 6*l(a).\nAnswer: a**3 - a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = -5*g**2 - 13*g + 197. Calculate w(4).\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 2*s**2 + 12*s + 11. What are the prime factors of v(24)?\nAnswer: 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -82, -277, -798, -1807, -3466, -5937?\nAnswer: -9382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 1379308565 and 0.07.\nAnswer: 1379308565.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} {"text":"Question: Evaluate (-645)\/129*(-217)\/35.\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(u) be the third derivative of 37*u**4\/24 - u**3\/3 - 2*u**2. Is v(2) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -410.32 times -5?\nAnswer: 2051.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 83 - (2 + 1 + 6 - (55 + -65))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -1 (b) 1\/2 (c) -1363267 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is seventeen sixths of a decade in months?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -k**2 - 6 + 6 - 4*k**2 - 3*k**2 + 5*k**2 + (-2*k - 2*k + 2*k)*(4*k - 4 + 4) to i*k + v*k**2 + p and give v.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -384*x + 765*x - 381*x + 20*x**2 - 8*x**2.\nAnswer: 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = -21.77 + 7.77. Sort r, -0.11, -3.\nAnswer: r, -3, -0.11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30817783 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = 3*t + 5*f, -4*f = t - 2*f + 5. What is the second biggest value in t, 45, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 y when two letters picked without replacement from mzmmyyzymmymmmzyzyyy.\nAnswer: 32\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-7)\/(28\/(-8)) + 177. Suppose 43 = -4*s + n. Suppose 0*w - s = -2*w. Solve 0 = -f - 4*p - w, p + p + 10 = 0 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 28\/99 and -35\/72.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 23609659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:05 AM and 8:49 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**6)\/q**(-1\/3) assuming q is positive.\nAnswer: q**(-14\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes before 6:02 AM?\nAnswer: 10:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose m + m - 14 = 4*z, 4*z + 20 = -4*m. Let v = -4.3 - -4. Let d = v + 1.3. What is the second biggest value in -2\/9, d, m?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is -2739 != 7\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.348 - 50.\nAnswer: -50.348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2893069 is divided by 3269?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -151278, -302961, -454650, -606345, -758046, -909753, -1061466?\nAnswer: -1213185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-1)\/(-3) - (-5)\/3. Let v = 1 + a. Let l(c) = -c**3 + c**2 + 8. Calculate the remainder when l(0) is divided by v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {s: 5, l: 3, k: 2}. What is prob of sequence lsls?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v, 2 a, and 1 p when four letters picked without replacement from {p: 1, a: 2, v: 1, t: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 195 to the power of 1\/3, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-14)\/(-21))\/(22\/(-6)). Which is the biggest value? (a) 0.1 (b) q (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 46 + -44. Suppose 17 = y*h - 0*n + 5*n, 2*n - 6 = -h. Sort 4, h, 2 in ascending order.\nAnswer: h, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 9 a factor of 1724\/8 - (-3)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**2 + 2*r + 1. Let k be d(-5). Let g = -7 + k. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = 1712\/7 + -244. Let w = -17.914 - -23.914. What is the smallest value in w, 3, -0.3, x?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 88323 = 861*h - 15858 for h.\nAnswer: 121","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 712065\/2 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 231275 or 231273?\nAnswer: 231275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 139\/(3 + -2)*1?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -50146861 greater than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = -l**2 + 4*l + 4. Let u be h(4). Suppose 5*f - 1 = 4*f. Solve u*t - f = v + 5*t, -6 = -3*t for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -5 + sqrt(400)\/(sqrt(32)\/sqrt(4)) + sqrt(50) + ((sqrt(4)\/sqrt(2) - sqrt(2)) + 5 - (sqrt(128)\/sqrt(4))**2).\nAnswer: -32 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*v**2 - 6*v**2 + v**2 + (-2*v + 0 + 0)*(4*v - 5*v + 2*v) - 2*v**2 + 3*v - 3*v)*(25 + 26 - 9*v - 50).\nAnswer: 108*v**3 - 12*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Convert -1fc (base 16) to base 9.\nAnswer: -624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 17*v - 96 = 0. Calculate the highest common factor of 33 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 32*b**3 - 94*b**3 - 112*b**3 + 43*b**3 + 31 - 31.\nAnswer: -131*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(68)*1*-1 + sqrt(68))\/(-5*-1*sqrt(4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Round -15.7127 to 2 decimal places.\nAnswer: -15.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 222 and 999.\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -37 + 39. Let v(a) = 9 - 3*a - 3 + a**i - 1 - 3*a**2. Give v(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -512*h + 449*h + 3600513 = 0. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 16*k - 3*k**2 - 18*k**3 + 11*k**2 - 8*k**2 wrt k?\nAnswer: -108*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-1)\/((27\/(-99))\/(-3))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert -32067 (base 8) to base 6.\nAnswer: -141515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = 9*b**2 - 9*b + 11. Let w = -91 - 8. Let m = -94 - w. What is the hundreds digit of g(m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2889 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 d, 1 e, 1 z, and 1 q when four letters picked without replacement from {e: 1, z: 8, q: 2, d: 2}.\nAnswer: 32\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 58 = -25*u + 98 + 85 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 9482852569 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 418 minutes after 4:44 AM?\nAnswer: 11:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 24056.14567 rounded to the nearest 1000?\nAnswer: 24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f - 215 = 215. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7187?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -11 divided by -51052955?\nAnswer: 11\/51052955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y - 96 = -4*y. Round y to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 782212.78 to the nearest one thousand.\nAnswer: 782000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round 840992.3 to the nearest one thousand.\nAnswer: 841000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = 5*a. Let l be n(-3). Let m be (l\/6)\/((-2)\/4). Let s = 12 - m. Calculate the remainder when 12 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -4\/15, -107, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21\/77*6\/(-9).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 52*d**3 - 4*d**3 - 45*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-31 - 502*d + 1009*d - 513*d)*(-4*d**2 + d**2 + 4*d**2).\nAnswer: -6*d**3 - 31*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17741 or 16511?\nAnswer: 16511","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 821505?\nAnswer: 3, 5, 54767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in -1, -13, -1\/5, -119?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oosyls. What is prob of picking 1 s, 1 l, and 1 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5164.\nAnswer: 2, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2374*y - 2148*y + 20361*y + 11188*y.\nAnswer: 31775*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 387153?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is s in 12*s**5 - 32*s**4 - 12*s**3 + 48*s**2 + 16*s = 0?\nAnswer: -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: -6 - (0 - 8 - -2 - -5)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let 8*j**4\/5 + 30154*j**3\/5 + 398402*j**2\/5 + 999156*j\/5 + 45072 = 0. Calculate j.\nAnswer: -3756, -10, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(z) = 2*z**2. Let k(n) be the second derivative of n**4\/6 - n**3\/2 + 3*n**2\/2 + 3*n. Let a(c) = 3*c**2 - 4*c + 4. Let b(y) = 3*a(y) - 4*k(y). Give t(b(p)).\nAnswer: 2*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 45, 188, 423, 750?\n\"Answer: 46*x**2 + 5*x - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d(p) = 6*p**2 + 9*p + 7. Let v be d(-1). Sort 164, 1, v in increasing order.\nAnswer: 1, v, 164","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 6220879?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 3 a factor of 161?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5\/693, -5, -1.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find w such that 3*w**4 + 477*w**3 + 1410*w**2 + 936*w = 0.\nAnswer: -156, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -2*l**2 - 3. Let i(h) = -167*h + 2 + h**2 + 0*h**2 + 167*h. Determine -6*i(a) - 4*x(a).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -3658? (a) -3 (b) 1\/173 (c) 2 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 143 = i - 128 - 65. What is the remainder when i is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {b: 1, q: 2, m: 10, w: 3, p: 1}?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14 = 78*s - 85*s. Let i = 0.7 - 1.7. Let h = -0.5 + 0.8. What is the nearest to s in -2\/5, i, h?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -56*r**2 - 12*r - 10.\nAnswer: -112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 1965 divided by 15\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x = -393 + 850. What are the prime factors of x?\nAnswer: 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 107*x = 108*x + 2. Let j(d) be the first derivative of d**3\/3 - 4. Let u(k) = 2*k + 1. Let f(v) = 3*j(v) + u(v). Calculate f(x).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 5*l**2 - l**2 - 2*l**5 + 5*l**2 + 0*l**2 - l**3 - 2*l wrt l.\nAnswer: -120*l**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y + 14. Let r = 42 - 2. Suppose r = -x - 3*x. Let v be n(x). Solve -v*i - 22 = 2*f, -4*f - 5 = i + 11 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*j + 2*j = -6. Let u = -5 + 9. Suppose u*r - 112 = -j*o, 0*o - 3*o + 2*r = -124. Calculate the highest common factor of o and 100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*g = -6*g + 20. Is -4 - (g - (15501 - 5)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-264)\/(-11))\/3*(-51)\/238*21.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 20066 or 20067?\nAnswer: 20067","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Sort -7691, 1\/3, -659, -14 in ascending order.\nAnswer: -7691, -659, -14, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (48\/(-216) - (-1 + 1) - 232\/(-72))\/(-14).\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -6059995*z**3 + 3240128*z?\nAnswer: -36359970*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*n**2 + 8*n**2 - 216*n + 216*n.\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -9*g - 12*g + 21*g + 4*g**3.\nAnswer: 4*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) be the first derivative of 5*l - 15 + 1\/3*l**3 - 3\/2*l**2. What is the units digit of o(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(108) + sqrt(3) + 1 + 3.\nAnswer: 4 + 7*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express (159 - 409 + 7 - 4*d)*(-3 - 1 + 1) as o + s*d and give o.\nAnswer: 729","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 0 + 7)*(-w + 0*w + 2*w + 2).\nAnswer: 3*w + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wp when two letters picked without replacement from lporllwogwoo.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from zzzzzzzzczczz. What is prob of picking 3 c?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = -6*x**2 - 10*x + 4. Let m(u) = -5*u**2 - 9*u + 3. Determine 4*m(s) - 3*p(s).\nAnswer: -2*s**2 - 6*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 375462 to the nearest integer?\nAnswer: 613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -4 + 5b?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is -2 greater than -119\/159?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (((-2)\/(-15))\/(-1))\/(2\/3)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -478*b - 498*b - 252 = -1012*b for b.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 2242 - 3?\nAnswer: 2236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8033831279 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b = 463 + -307. Does 13 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a tonne in kilograms?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 2260, 2279, 2298, 2317, 2336?\nAnswer: 2355","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:33 PM and 10:47 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = 17*r + 334. Let q(y) = 41*y + 667. What is -3*q(s) + 7*x(s)?\nAnswer: -4*s + 337","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*p**4 - 33*p**2 + p**2 + 14*p**2 - 2*p**2 - 20*p**3 + 4*p**2.\nAnswer: -4*p**2*(p + 1)*(p + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-45)\/(-175) - -2 - 6\/(-10))\/((-270)\/(-2268))?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 133130 and 26626?\nAnswer: 133130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/7, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((4\/(-7))\/(24\/28))\/4.\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 530 minutes before 2:26 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 64419165 and 148860.\nAnswer: 257676660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = s**2 - 38*s - 486. Let h be i(-10). Let c(b) = b**2 + 4*b - 3. Give c(h).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 2810, 10995, 24564, 43517, 67854, 97575, 132680?\n\"Answer: 2692*t**2 + 109*t + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b - 5. Let j be 5*(-1)\/(1\/(-1)). Suppose -j = -10*r + 5*r. Let o(m) = -5 + 3 + r. What is -c(t) + 6*o(t)?\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 79 = 259. Suppose 6*q = 14*q - 816. Let y = q - x. Calculate the remainder when 13 is divided by y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(13)*4 + 1.\nAnswer: 1 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -443756, -443646, -443456, -443180, -442812, -442346, -441776?\nAnswer: -441096","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) be the third derivative of y**8\/35280 + y**7\/11760 - y**6\/5040 - y**5\/5 + 25*y**2. Let o(u) be the third derivative of c(u). Solve o(r) = 0 for r.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose u + 3*s = -2, -4*u - s + 3*s + 6 = 0. Suppose -2*b = -5 + u. Suppose -5*p - 14 = w, -b*p = 4*w + 3*p - 4. Solve -w = z + z for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:21 AM and 4:30 PM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 33\/308*-36*(-595)\/85\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + (6*(sqrt(1323) - (sqrt(1323) + 0 + sqrt(1323)) - sqrt(1323)) - (-3 + sqrt(1323) - sqrt(1323))*-6)**2 + -5 + -1.\nAnswer: 9072*sqrt(3) + 190835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -10 at most as big as 97.11625?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -37\/133 and -42\/371041.\nAnswer: 49348453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 y and 1 l when four letters picked without replacement from {l: 10, y: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((z\/(z\/z**(-1\/9)))**(-1)*(z*z**12)**(8\/9))**27 assuming z is positive.\nAnswer: z**315","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*u = -5*s - 50, 8*u - 3*s - 19 = -6*s. Solve u*f + 8 = -4*i - 13, 3*f + 16 = i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s - 10 + 4 = 0. Let p(f) = 12*f**2 - 4*f + 3*f - 22*f**s - 7 + 13*f**2. Let r be p(5). What is the highest common divisor of r and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-969)\/121 - -8)*2. Which is the smallest value? (a) 4 (b) 2\/5 (c) s (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 9 or 44?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 58949, 58956, 58965, 58976, 58989?\n\"Answer: u**2 + 4*u + 58944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n = -348 - -489. Let q = -1414291 + 1414299. What is the common denominator of q and 2\/7 + n\/(-28)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 46913973.\nAnswer: 3, 15637991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of g**7\/6 - 11*g**3\/2 - 32*g**2. Differentiate b(h) with respect to h.\nAnswer: 140*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x - 190 = -38. Let b = -41 + x. Is 15 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3045*q**2 - 5*q**3 + 3046*q**2 - 2*q + 8*q**3)*(0*q + q - 3*q).\nAnswer: -6*q**4 - 2*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -17 + 0 + (5 - -5)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 981 + 32649 = 1013*z - 14994 for z.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 44042, 88310, 132580, 176852?\n\"Answer: p**2 + 44265*p - 224","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*v**2 - 2*v**2 + 2*v**2)*(-4322 + 4322 - 163*v).\nAnswer: 326*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b*b**(1\/3))**46*((b**1\/b)\/b)**(-14\/5) assuming b is positive.\nAnswer: b**(962\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -28*b**2 + 98. Let d(g) = 2*g**2 + g - 1. Let o(p) = -2*d(p) - t(p). Differentiate o(a) with respect to a.\nAnswer: 48*a - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -691, -567, -359, -67, 309, 769?\nAnswer: 1313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*x + 0*x + 3*x)*(4*x + 0*x - x) + (11 + 4 - 11)*(-2*x - 2 + 2)*(-x - 4*x + 4*x).\nAnswer: 11*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-155)\/(-9) + -17 - 677\/9. Let u = -147 - -148. Sort u, t, 3 in ascending order.\nAnswer: t, u, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 7251754?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let d = 1139 + -388. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = 9*d**2. Let t(y) = 276 + 10*y - 142 - 136. What is f(t(k))?\nAnswer: 900*k**2 - 360*k + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 9 (b) 3\/8 (c) 3 (d) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*(-3 - -10) - -137. Let s be (-6)\/(-4) - 923\/h. Let k(q) = -7*q**2 + q. Let y be k(1). Is y != s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -173\/2629290 and -69\/6135010?\nAnswer: 18405030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate -6 + -3 - ((3 - 0) + (55 + -42 - -1)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -158344526446 minus 28?\nAnswer: -158344526474","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w = -415 - -646. Let c = 450 - w. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = -n**3 + 8*n**2 + 1. Let b be a(8). Let d = b + -19. Let z be (-3)\/d + 7\/30. Is -18 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1015135389?\nAnswer: 3, 37597607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 692 minutes before 1:05 AM?\nAnswer: 1:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 546 minutes before 11:25 PM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is q in q**5 + 4989716*q**4 + 6224306460720*q**3 - 24897305678400*q**2 = 0?\nAnswer: -2494860, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 50 and 448975?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) be the second derivative of u**9\/9072 - u**7\/840 - u**6\/540 - u**3 + 3*u. Let x(c) be the second derivative of y(c). Determine d so that x(d) = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 18 * -1387446\nAnswer: -24974028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -2\/7? (a) -0.2 (b) 10 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let m(k) = -89*k - 2752. Calculate the remainder when 4706 is divided by m(-31).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b - 41 + 15. Suppose m + h + b = 0, 0 = 2*m - 2*h - 3 + 13. Let w = 19 + m. Calculate the remainder when 39 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -83*i**5 - 36292*i**4 + 3*i**3 + 1027*i**2 + 28*i - 251.\nAnswer: -4980*i**2 - 871008*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = g + 19. Let s be j(-14). Suppose 0 = -0*z + s*z - 1825. Suppose -4*f + 2289 - z = 0. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i, 1 m, and 1 o when three letters picked without replacement from rmoigwg.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r(v) = 2*v**2 + 141*v + 2217. What is the least common multiple of r(-47) and (-64 + 1\/1)*-6?\nAnswer: 1512","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lzmh when four letters picked without replacement from smzhssshlhsshh.\nAnswer: 5\/24024","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 3755 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = 1132*f**2 + 26*f - 16. Calculate the remainder when q(1) is divided by 128.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000090876 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 1427 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: Convert -110 (base 3) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -256023*o**6 - 3*o**2 + 6284*o + 1?\nAnswer: -30722760*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 125 is divided by 1122\/143 + 1 - (-2)\/13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000602854 rounded to seven dps?\nAnswer: 0.0000603","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 579, 1167, 1755?\n\"Answer: 588*n - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.251 - 2.749. What is the nearest to q in -0.02, -4, -1\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -b**4 - 101*b**3 + 589*b.\nAnswer: -12*b**2 - 606*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -20 - -2103?\nAnswer: 2053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o**(1\/2)*o**(1\/2))\/(((o\/(o**(-2\/7)\/o*o))\/o*o)\/(o*o*o**(1\/4)*o)) assuming o is positive.\nAnswer: o**(83\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 12:03 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 291206053?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j be 2*12\/32*((-28)\/(-6) - 4). Factor j*k**2 + 0 - 1\/2*k.\nAnswer: k*(k - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0 (b) -2 (c) 87\/34 (d) 4\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s = -0*s + 8. Suppose -3*f = 4*b - 20, -4*b + 3*f - 8 = -f. Suppose -3*p = b*p. Solve -y + s*y - 5 = p for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2168?\nAnswer: 2, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Is 30 a factor of 525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*g**2 + 2*g**2 - 3*g**2)*(17 - 15 + 4*g + g**2 - 3).\nAnswer: 5*g**4 + 20*g**3 - 5*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 13645473 divided by 1731?\nAnswer: 7883","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let t(w) = 8*w - 26. Is 17 a factor of t(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-6)\/2 - -1)\/15.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(c) be the first derivative of 4 - 3*c + 5\/2*c**2. What is the units digit of q(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 11669?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) = -z**2 + 11*z + 27. Give j(14).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let l(q) be the first derivative of -2*q**3 - q**2\/2 - 4*q + 834. Let i(s) = 7*s**2 + s + 3. Calculate -5*i(w) - 6*l(w).\nAnswer: w**2 + w + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + (3 + (1 + sqrt(1700)*-1 - sqrt(1700)) - ((sqrt(1700) - (sqrt(1700) + -4 + sqrt(1700) + sqrt(1700)*-1)) + -4)) + -4)**2.\nAnswer: -120*sqrt(17) + 6809","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p(t) = -t**3 + 6*t**2 - t + 11. Determine p(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:53 PM and 4:02 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 1531478806 a multiple of 754?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventeen halves of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*u - 5*t - 5, 63*u + t = 68*u - 22 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 15 or 274.3?\nAnswer: 274.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 656 and 14432?\nAnswer: 14432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3 - -2) + 1 + 25 + -24.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -12*t**3 - 6*t**2 - 3*t - 4. Let d be w(-7). Suppose -4*x = 4*l - 2401 - d, 3*l - 3 = 0. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 1729783?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert 156.10419 months to decades.\nAnswer: 1.30086825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 66*b - 2257. Calculate a(34).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = l**3 + 18*l**2 + 12*l + 176. Let a be v(-11). What is the highest common factor of a and 162?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*f + 7 = -90*j + 88*j, 4*j - 51 = -3*f. Solve 1 = 2*b - 5*c, -j + 4 = 4*b - 3*c for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1\/(-2)*(-85 + 86)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 54 + (12 - (1 - -20)) + (5 - 6)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -b + 2*b + 11. Let w = b + 15. Suppose w*u - u = 48. What is the units digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_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: Solve -12*i - 19725 = -86*i - 26755 for i.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Divide -3422738 by 311158.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*a - u + 4, -2*a = 7*u - 12*u + 56 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*o + 35 = 35*u - 33*u, 2 = -4*o + 2*u. Suppose 0 = 4*x - 11 - 1. Solve g - o*p + 5 = 0, -x*g - 4 + 1 = -5*p for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -130 in 622, 0.05, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -13 = 4*u - l, -4 = 2*u + 2*l - 0*l for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 1232 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 909, 893, 885, 891, 917?\n\"Answer: o**3 - 2*o**2 - 17*o + 927","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between -1678775 and 10?\nAnswer: 1678785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h + 0*h - p = 13, -4*h = -4*p - 4. Let g(f) = -4*f - 1. Let i(w) = 9*w + 2. Let j(b) = 5*g(b) + 2*i(b). Give j(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 3*s = 5, 2*s - s = -4*t + 9. Let i(w) = 9*w**3 - w**2 - 3*w + 1. Let o be i(t). Let j = 166 - o. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-3)\/4 - 28\/48. Sort -1, -5, k in ascending order.\nAnswer: -5, k, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (2\/1 + -2)\/(-2). Let d = -3733\/18202 - -10\/479. Do d and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 17 and 25?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 1931572 and 9.\nAnswer: 17384148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*k**2\/19 - 90*k\/19 = 0 for k.\nAnswer: 0, 45\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 16 divided by 9659?\nAnswer: 16\/9659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*q**2 - 3*q**2 - q**4)*(0*q + q + 0*q) - q**5 + 96*q**3 - 94*q**3 - 14*q**5.\nAnswer: -16*q**5 + 2*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let z = 81 - 40. Suppose -z = -l + 4. What are the prime factors of 2*(l\/6 + -2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {q: 5}. Give prob of picking 3 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 21481 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 79, 82, 87, 94?\n\"Answer: y**2 + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1055789 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 242616 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 1836.29 rounded to the nearest ten?\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 660 minutes after 7:48 AM?\nAnswer: 6:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) be the first derivative of c**2\/2 + 4*c + 188. Give y(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = 19*m**2 + 3*m. Let j = -40 - -39. Let k be x(j). Find l such that 10 - 50*l**3 - 2*l**5 - k*l**4 - 56*l - l**5 + l**5 - 26 - 76*l**2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be -1*(-24 - (3 + 0)). Does 4 divide (0 - p\/6)*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 342 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((x\/(x\/x**(-2)))\/x)**32*(x\/(x\/x**(-1\/8)))\/(x\/(x\/x**(-8))) assuming x is positive.\nAnswer: x**(-705\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 411 to the power of 1\/3, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -64*f - 67*f + 16895 = 414*f for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 529964 to the nearest integer?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d be -4 + -4 + ((-69)\/(-6) - 3). Let q = 35\/2 + -20. Suppose b + 5*m = 0, -19*m = -3*b - 17*m + 17. What is the third smallest value in d, b, q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: 67300233 divided by 307\nAnswer: 219219","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 46995 to the nearest integer?\nAnswer: 217","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = 174 - 173.998796. What is j rounded to three dps?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) be the third derivative of a**6\/600 - a**5\/60 + a**4\/30 - 6*a**2 - 5*a. Suppose s(z) = 0. What is z?\nAnswer: 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*b - 2*b + 0*b)*(2 + 2 - 3) + 5*b + 0*b + 2*b.\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = -7*j**2 + 21*j + 2. Let f(l) = -6*l**2 + 21*l + 3. Let k(p) = -2*f(p) + 3*v(p). What is the second derivative of k(t) wrt t?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 2\/3, -3, 3, -2, -10722?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -432 - -440. Let n(v) = 3*v - 12. Let d be n(5). What is the highest common divisor of c and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 4839764465?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 8 at most 27013\/3637?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 13*d + 50 + 7*d**3 - 92 + 42.\nAnswer: 7*d**3 + 13*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) be the first derivative of 533*i**2\/2 + 937*i + 301. Differentiate v(z) with respect to z.\nAnswer: 533","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/(-1)*(-13 + -8). Suppose 0 = -4*u + 2*u + 5*d + r, 6 = u + 2*d. Calculate the greatest common factor of 24 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -34585 + 24300. Let u be (5 - 6\/3) + s\/3417. Is -1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.9179541 to one decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 12742, 4, 346, -3, -4, -5 in decreasing order.\nAnswer: 12742, 346, 4, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -19, 1 in decreasing order.\nAnswer: 5, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {u: 2, z: 2, y: 2, j: 4, q: 4}. What is prob of sequence yjqq?\nAnswer: 4\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*u**3\/3 + 106*u**2\/3 + 1550*u\/3 + 1250.\nAnswer: 2*(u + 3)*(u + 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h = 63313 + -19591. Is 14 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 q and 1 i when two letters picked without replacement from {q: 3, a: 3, h: 1, i: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from jffxo. What is prob of picking 1 j and 1 o?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = b**2 - 6*b - 9. Let h be q(-9). Let c be (-1 - (5 - 3))*-12. Suppose 0*d - c = -2*d. What is the greatest common divisor of h and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = -2*t**2 + 3*t - 2. Suppose -26*j = -30*j + 12. Let w(l) = 2*l**2 + 0 - 5*l + j*l + 1. Determine -3*h(y) - 4*w(y).\nAnswer: -2*y**2 - y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*((-2)\/4)\/((-2)\/(-4)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(s) = 1875*s + 28084. What is m(-15)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) be the second derivative of -9\/2*q**3 + 1\/2*q**2 - 7*q - 1\/6*q**4 - 13\/20*q**5 - 4. Find the second derivative of s(b) wrt b.\nAnswer: -78*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:19 PM and 12:43 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*x - 35*m - 60, 2*x - 6*m + 4*m - 36 = 4*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = x**2 - 12*x - 7. Let u be c(13). Find the common denominator of (-5)\/((-46)\/(-12) + -2) and (1770\/(-60))\/(-1 + u).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g be 6\/14 + (-64)\/(-14). Solve 105*y**4 - 204*y**3 - 1268*y**2 - g*y**5 - 720 - 2040*y - 171*y**3 - 537*y**2 = 0.\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -664237 + 0?\nAnswer: -664237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Round 0.007559243 to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) be the third derivative of 0 - 2*q**2 + 1\/3*q**3 + 1\/120*q**5 + 7\/24*q**4 + 0*q. Let u(g) be the first derivative of w(g). What is u(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, f: 1, m: 2, d: 5}. Give prob of sequence dm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -x, -x + 16 = 3*l + 5. Factor 1\/2 + 0*r - 1\/2*r**l.\nAnswer: -(r - 1)*(r + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9906 is divided by 242.\nAnswer: 226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -d - 3*s = 6, -5*d - 7*s + 4*s = -6. Let v be d\/(-15) + -3 + 258\/15. Suppose -20 = -18*j + v*j. Solve -5*f = 5*l - j, 6*f = 3*l + 2*f - 31 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -65 + 47 + 12 + -22 + 0 + 1 + 0\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2294?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 13 = k, -3*i = 1139*k - 1134*k + 14 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = 11*j**2 - 8*j - 775. Let b(d) = 6*d**2 - 4*d - 387. Calculate -9*b(z) + 5*v(z).\nAnswer: z**2 - 4*z - 392","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 352867116113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Determine h, given that h**2\/5 - 1632*h\/5 + 16432 = 0.\nAnswer: 52, 1580","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -104*q**2 - 4057*q - 72. Give y(-39).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.0663713391 - -4.33.\nAnswer: 4.3963713391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-3 + 4)*1 - 1. Suppose -4*q - 12 = b, -2*z - 3*q - 21 = -5*z. Let x be (z - 5)*-13*1. Is 12 not equal to x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.68 + -0.98. Let y = -2 - 1. Let k = y + 2.6. What is the third smallest value in z, 1\/8, k?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = 2*x - 2. Let d be b(6). Calculate the common denominator of 83\/18 and d\/16*(-65)\/50.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 11 - 18. Let n = f + 7. Solve -10 + n = 5*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 9122*t**2 + 24656*t wrt t.\nAnswer: 18244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f - 17 = -3*h - f, 12 = -3*f. Let y be ((-30)\/18)\/((-1)\/h). Let i = -42 + 41.9. What is the closest to i in 0.5, y, -1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 655845112 and 829.\nAnswer: 829","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, u: 2, z: 1, v: 1, j: 1, d: 1}. Give prob of picking 1 d, 1 u, 1 z, and 1 v.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = 7669 + -8134. Round z to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-12*r**2 - 10*r - 10*r + 22*r)*(0 - 1 + 0)*(0 + 0 - 2).\nAnswer: -24*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.16488 + 3.83512. What is the nearest to -7\/23 in n, 6, -2, 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -90602 greater than -90593?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(t) = 12302061*t. Let l(j) = -80*j**2. What is r(l(f))?\nAnswer: -984164880*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 236 minutes before 7:43 AM?\nAnswer: 3:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1756 + -1589. What is the remainder when g is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} {"text":"Question: Let l = 3.01 + -0.01. Let r = 0.4769 - 2.4769. What is the closest to r in -2\/53, l, -5?\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1024? (a) -0.1 (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {e: 2, h: 7, g: 5}. What is prob of sequence ehh?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -19941, -38250, -56559, -74868, -93177?\n\"Answer: -18309*q - 1632","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (-5*c + 3*c + 0*c)*(4*c + 2*c**2 - 4*c) + 2*c**3 + 0*c**3 + 0*c**3 - c**3 + 0*c - 5*c**3 + 2*c**2 + c.\nAnswer: -8*c**3 + 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 33 a factor of 1576657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate -4 - 0 - (-13 + 12 - 9).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = 0.87 + -168.87. Let z = b + 167.9999913. What is z rounded to 6 dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 92 is divided by 35?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -6 + 2*n**2 - 3*n**2 + 3*n**2 + 2*n**3 to the form c*n**3 + f + d*n + r*n**2 and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.649785 + 0.65. Round o to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1747 is divided by 92?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -4 + 6. Let n(u) = -u + 1. Let y = 6 - 8. Let d(k) = -2*k + 2. What is g*n(i) + y*d(i)?\nAnswer: 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3, -33, -121, -285, -549, -937, -1473, -2181?\nAnswer: -3085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-20 - -14) + -1 + 5\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -2 = -j, -5*j = 3*a + 27 - 31 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand (t + 2*t + t)*(6 - 1 - 3)*(t**2 + 9 - 9).\nAnswer: 8*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:09 AM and 5:32 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*r = 6, -231685409 = -4*x - 3*r + 34234582. Suppose -t - x = -5*t. Suppose -9*s + 6*s = -t. Round s to the nearest 100000.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be -4 + 6\/(4 - 3). Suppose 3*b + 12 = 0, -2*r - 3*b + 8 = c*r. Let n(y) = 2*y**2 - 5. Let d be n(5). Calculate the highest common factor of d and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.0520933 millennia to centuries.\nAnswer: 0.520933","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Round 30691 to the nearest one hundred.\nAnswer: 30700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be 1\/(-1 - 0)*1. Let t be ((-2)\/l)\/(6\/9). Is (-2 - -118) + (2 - t) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + -7620.\nAnswer: -7617","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 8696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-36)\/(-9))\/((-40)\/4200*-14).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2709*b + 17471*b - 479*b.\nAnswer: 14283*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5229728 divided by 7.\nAnswer: -747104","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -4 plus -0.073338?\nAnswer: -4.073338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 11211.47 litres?\nAnswer: 11211470","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 12043973?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 2 b when three letters picked without replacement from {o: 1, a: 2, b: 3, m: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 398 or 399?\nAnswer: 398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (5*a**5 - 4*a**5 - 2*a**5)*(21 - 3 + 8) + 2*a**5 - a**2 + a**2 + (15*a**4 + 9*a**4 - 38*a**4)*(2*a + 17*a - 4*a).\nAnswer: -234*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = -11 + -15. Let s = -15 - o. What is the smallest common multiple of s and 5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 2*q - 5*l, -7*q + 3*l = 2*l - 23. Solve -q*v - m + 6 = 0, -2*v = m + 3*m - 4 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -39*y**2 - 81*y - 15. Let r(o) = 5*o**2 + 10*o + 2. Let t(b) = 4*j(b) + 33*r(b). Let q be t(-1). Solve q = -7*c + 4*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 18741650?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) be the first derivative of 2*i**3 + 4*i**2 - i - 497. Let p(o) = -7*o**2 - 9*o + 1. What is 5*p(r) + 6*q(r)?\nAnswer: r**2 + 3*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) = k**2 - 6*k - 19. Let v be l(8). Put v, -2, -8 in decreasing order.\nAnswer: -2, v, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(i) = 146*i + 3. Let c = -1 + 2. Is w(c) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*y + 4208805 + 3295195 = 0. Round y to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 29, -0.2, -0.08, 0.1?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = f + 4. Determine o(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3c + -61?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*h - 99 = 74*h + 37 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r = 14934145 - 4644145. Round r to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -791 + 803. What are the prime factors of (-1529)\/(-2) + (-6)\/n?\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 227 is divided by ((-456)\/40)\/((-11)\/55)?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -377 (base 8) in base 13?\nAnswer: -168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 74615.\nAnswer: 5, 14923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is ((-50)\/750)\/(-1*(-1)\/(-2))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s = 6 + -6. Suppose 8*p = -s*p - 8720000. Round p to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5 + (-3 + 32 - (15 - 3))?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6888 and 44702.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p = -4.3 + 1.3. Which is the fourth smallest value? (a) 4 (b) -5\/6 (c) p (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10010001000101 + 10110?\nAnswer: -10010000101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2714*n**2 + 2714*n**2 - 72*n**3 + 177*n**3.\nAnswer: 105*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -100505547 (base 8) to base 7\nAnswer: -264010226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**2\/2 + 247*x\/2 + 1419.\nAnswer: -(x - 258)*(x + 11)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = -7596*j + 16468. Give i(2).\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 275627, 275625, 275623, 275621, 275619, 275617?\nAnswer: 275615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (74*c**2 - 2013*c + 2013*c)*(6 - 4 + 3 + (-1 + 4 - 1)*(-6 + 2 + 2)).\nAnswer: 74*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k be 25 - (44\/(-77)*-14 - 17). Solve 32 = -v + k for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = -18*n + 295. Let w be i(16). Suppose -36 + 1 = -w*b. Let q = -16 + 31. Calculate the highest common factor of b and q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 0\/1 + 23 + 5. Let a = 362\/13 - w. Let s be (-9)\/(-4)*(-1)\/3. What is the nearest to 2\/5 in a, s, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 20, 45, 102, 209, 384, 645, 1010, 1497?\nAnswer: 2124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(h) = h**3 - 9*h**2 + 2*h - 11. Give k(9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -49*y + 28 = -47*y. What is the hundreds digit of (7\/y)\/((-2)\/(-2324))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -12 - (-1 - 6) - (-14 - 5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 547 minutes before 10:06 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 13714?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Expand (-17 + 7 - 26*c**2 + 11)*(0*c**2 - c**2 - c**2).\nAnswer: 52*c**4 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*u + 774 = 2*h, -2*u = -0*u - 3*h - 321. Suppose 2*g**2 - 57 + g**2 - u*g + 210*g = 0. What is g?\nAnswer: -19, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 20*p + 8 - 188. Suppose -3751 + 60550 = p*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) be the second derivative of i**5\/60 - i**4\/6 - 27*i. Factor p(b).\nAnswer: b**2*(b - 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*o = -4*a + 2, -o + 2*a + 1149 - 1148 = 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1\/56 + 15\/56. What is the nearest to h in 0.3, -3\/2, 3\/7?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/(-2))\/(2\/12). Let v be u\/(6\/(-2)) - 21. What is v rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l = 3*r - 7, 5*l + 1014 - 1005 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 2, s: 5, d: 5}. Give prob of sequence ddw.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 8\/(-14) - 291\/(-7) is divided by (11\/3)\/((-2)\/(-12))?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*r + l, -2 = -2*r - 5*l + 4. Solve 4 = 4*i + 4*k, -k + 1 = 3*i + r*k for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 2a - -14a3?\nAnswer: 14cd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p = 3679 + -3669. Solve -5*b + 0*m + p = m, 6 = 3*b + 5*m for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1620848?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -v**4 + v**3 - 2*v**2 + v - 1. Let o(y) = 24*y**4 - 75*y**3 - 129*y**2 - 18. Let d(b) = -18*g(b) + o(b). Let d(i) = 0. Calculate i.\nAnswer: -1\/2, -2\/7, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 10\/9 (b) -1\/6 (c) 0.5 (d) 12\/19 (e) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (10\/8)\/((-1)\/(-360)*45)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: 48467 divided by 6893\nAnswer: 48467\/6893","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x(y) = -10*y**3 - 2*y**2 + 9. Let h(f) = -5*f**3 - 3*f**2 + 5. Calculate -5*h(v) + 3*x(v).\nAnswer: -5*v**3 + 9*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 39900 and 3360?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = -107 + 219. Suppose g - 5*v - i = 0, 4*v - 299 - 113 = -3*g. Is 22 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ezzeeeeezeezeeeezze. What is prob of sequence ez?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = -j**2 - 7*j + 8. Let b be n(-8). Suppose 3*d - 8*d + 20 = b. Suppose 3*m + 11 = d*m. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -205 (base 7) in base 15?\nAnswer: -6d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9909945 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*g - 71 - 6. Let k be 1\/(-2) - (-3 - g)\/24. Let p = 0.01 - -0.39. What is the third biggest value in k, p, 4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 11, -5, -1\/3, 0.072?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -457 - 456 - 5*x + 1839 - 455 - 471.\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is -2965354\/11 bigger than -269577?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.01 times -5945.88\nAnswer: 59.4588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v = 1.43 - -0.57. Let l = -32 - v. Which is the biggest value? (a) 1\/6 (b) l (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(3) + -3*sqrt(3)*-1)**2*-3*1.\nAnswer: -144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is b5 + 103a?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 + 2 - 2)*(-34 - 34 - 108)*(3*j**4 + 0*j**4 - 2*j**4).\nAnswer: -352*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -110 = -5*w - u, 273*w - 5*u + 4 = 272*w. Solve -12 = 11*f + w for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1287562.\nAnswer: 2, 643781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.04601 - -0.045. What is p rounded to four decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 45\/8 of a kilogram in grams?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is (-6)\/(-10) - 94022\/97570?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Work out 2 + 0.1035397.\nAnswer: 2.1035397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0000154519 to 6 dps.\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 41534997 a multiple of 413?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r(k) = -3 - 3*k + 0 + 2*k**2 + 1. List the prime factors of r(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (-2)\/(-4)*(7300 + -318)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.13 * -92.958.\nAnswer: 12.08454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*g + 2*g. Let m be 1 - g\/3 - -1. Which is greater: m or 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find j such that j**3\/8 + 95*j**2\/4 - 14625*j\/2 + 374625 = 0.\nAnswer: -370, 90","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 6\/151 (b) -2 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 39242 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(3\/5)\/c)\/((c*((c**(2\/19)*c)\/c)\/c)\/c))\/(c*c*c*c**(-1\/5)*c*c)**(-3\/25) assuming c is positive.\nAnswer: c**(4918\/2375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 1092994315 a multiple of 3902?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find i, given that -i**2\/9 - 10192*i\/9 + 71785 = 0.\nAnswer: -10255, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 741 and 44909787.\nAnswer: 741","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 226970.2 times 2?\nAnswer: 453940.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 2, 18, 51880?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find p such that -4\/3*p**2 + 2\/9*p**3 - 80\/9 - 8*p = 0.\nAnswer: -2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 45*r**2*y**3 - 2*r**2*y - 3*r**2 - r*y**3 - 51*r + y wrt r.\nAnswer: 90*y**3 - 4*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -17 - -27. Suppose -2*t - 11 = q - 94, -q - 5*t = -71. Suppose -87*b - 72 = -q*b. Calculate the smallest common multiple of b and z.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 5, -21, -236\/11?\nAnswer: -236\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Divide -1751808 by -29.\nAnswer: 1751808\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = 430*m**2 - 81*m + 919. What is the ten thousands digit of v(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Do 7082978 and 7082978 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3316033 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {o: 5, f: 13}. Give prob of picking 1 o and 1 f.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) be the first derivative of -4\/35*s**5 + 1\/7*s**2 + 1 + 0*s - 3\/14*s**4 + 0*s**3. Find r such that c(r) = 0.\nAnswer: -1, 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -2a1634 (base 13) to base 11.\nAnswer: -644a42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let d = 10 + -10.4. Let a = -4\/13479 - -1536866\/876135. Let i = a + -8\/5. What is the biggest value in d, 17, i?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 0.2022871 millilitres in litres?\nAnswer: 0.0002022871","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let o = 10 - 7. Let m = 14.1 + -2.1. Let u = m + -11. Which is the biggest value? (a) o (b) u (c) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) be the third derivative of j**4\/12 + j**3\/2 + 6*j**2 + 2. Give v(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from ruurrurcrcbuufcc.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4 - -13) + (-4 - 9) + 17 + 3?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 46*n*r**3 + 61*n*r + 9*n + 16437*r**3 + 11193452 wrt r.\nAnswer: 138*n*r**2 + 61*n + 49311*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 65 + -197\/3. Let n = -27.3 + 27.7. What is the closest to j in -1\/2, 1\/5, n?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Add together -11450061267 and -11.88.\nAnswer: -11450061278.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 468 minutes before 11:24 AM?\nAnswer: 3:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 357 a factor of 3547152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is (-1 - -5) + -12 + 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (34 - 13) + (4 + (-39)\/6)*-2. What is the highest common factor of 559 and v?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -2*j**4 - 64609*j**3 + j**2 + 1538*j + 77?\nAnswer: -48*j - 387654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 17556*s - 158008. What is v(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4\/(16\/364)*(-14 - 0). Let m be (i\/(-6) + -1)\/(6\/9). Let d = -1889\/6 + m. What is the common denominator of -11\/3 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/80*45*(-4)\/24.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (34\/((-4352)\/(-36)))\/(3*(-1)\/4)?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is next in 11, -13, -37, -61?\nAnswer: -85","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 32, 38, 56, 92, 152, 242, 368, 536?\nAnswer: 752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-42)\/(-105))\/((-7)\/(-10)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = -6 - -22. Suppose 3*o - 96 = o. Calculate the greatest common divisor of o and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 41*0.0349\nAnswer: 1.4309","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let w be -136*21\/84 - -22. Let r(s) = -4*s - 24. What is r(w)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -61\/4 and 17\/13632.\nAnswer: 13632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.05 + 0.25. Let q = -0.3 + p. Let v = -0.1 - 0.3. Put v, 3\/7, q in decreasing order.\nAnswer: 3\/7, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 42535 + -142102?\nAnswer: -55123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 124 and 403.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -25*x - 20*x - 2*x**3 - 23*x + 92*x - 14*x - 36.\nAnswer: -2*x**3 + 10*x - 36","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (14\/8)\/1 + (-12)\/(-16)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -10715*b + 12091. Let z(k) = 5354*k - 6044. Let h(y) = -3*i(y) - 7*z(y). What is the derivative of h(o) wrt o?\nAnswer: -5333","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 2*b**2 - 2*b + 1. Let k = -3 + 12. Let f(r) = -r**3 - 9*r**2 + 9*r - 5. Let y(w) = k*d(w) + 2*f(w). Find the first derivative of y(a) wrt a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 6184 and 19784?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(m) be the first derivative of -1 + 2\/3*m**3 + 3\/2*m**2 + 1\/4*m**4 + m. What is s(-2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = -23 + 36. Suppose -s*a = -15*a + 556. Let l = a - 135. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5 - (-8 + 4 + 14).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(i) = -i**4 + 2*i**3 - 8*i**2 + 3. Let d(x) = -6*x**4 + 9*x**3 - 33*x**2 + 12. Let n(v) = 2*d(v) - 9*q(v). Determine l so that n(l) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be ((-5)\/((-45)\/6))\/(20\/(-6)). Is b at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Sum 0.1 and 1114483189.\nAnswer: 1114483189.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n be 1\/4*-2*2. Let i be 105\/(-18) + n\/6. Let p(j) = j**2 + 6*j + 8. Determine p(i).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 185*g**4\/3 + 1777*g**3\/3 + 5818*g**2\/3 + 7352*g\/3 + 896 = 0 for g.\nAnswer: -4, -3, -2, -112\/185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 637876594.\nAnswer: 2, 7883, 40459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 17 + 19 = 4*z. Let c be 1\/(-2)*(-5 - 5). Solve c*d + z = -6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1138 divide 215718142?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {b: 2, r: 3, c: 3, v: 1, w: 1}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 u when two letters picked without replacement from hhhhhuuhhhuhhhhh?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -229, -1006, -2311, -4150, -6529?\n\"Answer: -x**3 - 258*x**2 + 4*x + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 26035?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 45 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 23562*u**3 - 46084*u**3 - u + u + 22526*u**3.\nAnswer: 4*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w be -1 + 2 + 1 - 1. Let r(d) be the third derivative of 5*d**4\/12 - 3*d**2. What is the tens digit of r(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(55) + sqrt(220)*-1 + (sqrt(165)*1)\/sqrt(3))\/(sqrt(88)\/sqrt(200) - -1*sqrt(99))*6 + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = 5*k**2 + 2*k + 1. Calculate n(1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 19 and 95.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 40996.98 tonnes in kilograms?\nAnswer: 40996980","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -2*u - 18. Let c be a(-9). Let k = 0 + 3. Suppose -k*l = -p - 4*l + 1, -4*p - l = -10. Solve c = p*o + 4*j + 3, -3*o - j = 4*j for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 16246851?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 35790971*n**4 + 3*n**2 + 143397*n - 11 wrt n?\nAnswer: 858983304*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -48 = -p - 62. Let o = -19 - p. Is 4 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 32*a = 11*a - 84 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -g**3*j**2 + 555292*g**2*j**3 + 2*g**2*j + g*j**3 - 213198*g*j wrt g?\nAnswer: -6*g*j**2 + 1110584*j**3 + 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let j = 65 + -41. Let x = 23.9 - j. Which is the closest to x? (a) 2\/13 (b) 4 (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -28 + 15. Let u = 5 - p. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2094355?\nAnswer: 5, 418871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: (-1)\/1*3*10\/6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -4? (a) 3 (b) 1 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 4\/(-8)*30\/3\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n - n = 5*k, 7 = 2*k + n. Suppose 6*y - 8*y - 192 = 0. Calculate the smallest common multiple of 16 and y\/(-6) - k*2.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 240 divided by -48\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 35 minutes after 2:33 PM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s = -3.9 - -5.9. Let x = -3.9 - 0.1. What is the third smallest value in s, 6, x?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1680640 and 1073280?\nAnswer: 216802560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(z) = 6*z + 3. Let r(u) = 13*u + 6. Suppose 4*h = -t - 7, -5 = 5*h - 16*t + 21*t. Determine h*r(n) + 5*v(n).\nAnswer: 4*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 0.059 times -0.4\nAnswer: -0.0236","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 312 is divided by 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1.9 (b) -904 (c) 2\/13 (d) 3 (e) 6\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 4\/(-6)*((-4816)\/196 - -25). Suppose -5*y = 20, 4*x - 6 = -5*y - 38. Let p = x + -4. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -39 - -86. Suppose 38 + 10 = 4*b. Calculate the remainder when u is divided by b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 8962707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + -18 + 11 + 37 - 9?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v - n + 55535 = 0, -3*v + 46322 = 4*n + 4661. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -77586603\/380 + 204175. Let k = q - -2\/95. Which is the smallest value? (a) 19 (b) 2\/11 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) = -11*r**2 + 4*r - 9. Let p(k) = -5*k**2 + 2*k - 4. Suppose -t + 10 = h, -2*t + 25*h - 22*h + 35 = 0. Give t*p(y) - 6*n(y).\nAnswer: y**2 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_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: Differentiate 597 + 24*n**3 - 521 - 114*n**3 with respect to n.\nAnswer: -270*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 13009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 10\/(-8)*((-1422)\/(-1960) - 84\/4816*43)?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 13202054 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) be the third derivative of x**8\/20160 - x**7\/1260 - x**6\/144 - x**5\/15 + 4*x**2. Let l(r) be the third derivative of s(r). Determine l(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = -18*x - 3. Let y be o(-2). Suppose -j + 26 = -182. Let q = j + -164. What is the highest common divisor of q and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -71 - -76. Let z(a) = -9*a + 5. Let h(u) = -4*u + 2. Let m(p) = -p - 2. Let i be m(0). Calculate d*h(y) + i*z(y).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 369 is divided by 195?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -862, -863, -872, -895, -938, -1007?\n\"Answer: -h**3 + 2*h**2 - 863","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 511974 - 10?\nAnswer: 511964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) be the third derivative of 163*s**5\/12 + 65*s**4\/6 + 2*s**2 - 299. What is the second derivative of k(n) wrt n?\nAnswer: 1630","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 69903 - 34826. List the prime factors of d.\nAnswer: 7, 5011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 736 + 3667*p - 1476 + 1091*p + 740 to the form r*p + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1139 in 0, 4\/103, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -33\/7 and (-8 + 25035\/3126)*2\/1?\nAnswer: 3647","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor q**2\/4 + 348*q + 31487\/4.\nAnswer: (q + 23)*(q + 1369)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y = -29 + 48. Suppose 0 = -5*u + 2*z + 18, -3*z + z = 5*u - 22. Suppose v = -2*o - 5 + 21, -u*o - 28 = -4*v. Calculate the remainder when y is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(a) = a - 3. Let k(l) = -l**3 - 7*l**2 + 9*l + 12. Let z be k(-8). Determine i(z).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -440, -879, -1318, -1757?\n\"Answer: -439*d - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express -4*g**3 - 4*g**2 + 18*g**2 + 276 - 287 in the form c*g**3 + n*g**2 + b*g + x and give n.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {m: 1, z: 2, q: 4}. What is prob of sequence zmqq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -5 - -2ab387?\nAnswer: 2ab382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -368*i**3*o**2 + 11*i**3 + 3*o**3 + 114*o wrt o?\nAnswer: -736*i**3 + 18*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of w**3\/6 + w**2\/2 + 26*w - 7. Let t be 10 + -13 + -1 + -1. Give p(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 39*t**2 - 4*t - 3. Suppose 15*n + 14 = 13*n. Let w = n + 6. Let v be u(w). What is the highest common divisor of v and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -v - 3*n - 21, -18 = 2*v - 2*n - 0*n. Let h = v + 12. Let r be -1 + h - (3 - 4). Round r to 3 dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 195\/11 in 4, -22, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7456061.\nAnswer: 7456061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h(b) = 3*b**3 - 338*b**2 - 1793*b - 2192. Let f(n) = 5*n**3 - 675*n**2 - 3585*n - 4385. Let x(p) = 2*f(p) - 5*h(p). Determine t so that x(t) = 0.\nAnswer: -3, -2, 73","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (40 - (98 - 138)) + -10?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 27709?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 83711?\nAnswer: 97, 863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2892947?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q be (52\/(-91))\/((-2)\/14). Suppose -a = -8*p + 3*p - 955, q*a - p - 3725 = 0. List the prime factors of a.\nAnswer: 2, 3, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12)\/sqrt(2)*-5)\/(-4*sqrt(72)).\nAnswer: 5*sqrt(3)\/24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -1 + 2c69b?\nAnswer: 2c69a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {c: 6, y: 12}.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n*n\/n**(-1)*n)**(2\/19)\/((n*n*n**1*n)\/n)**42)**(-7\/6) assuming n is positive.\nAnswer: n**(8351\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7 and 79181249?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 g when two letters picked without replacement from ggggtllglltt?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -72, -1, 2\/5, 0.5, -30?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i - 2*n = -3, 4*n = -3*i + 9*n + 8 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l = 108 + -107.3. Let g = -0.79 - 0.01. Let r = g + l. What is the third biggest value in 0.5, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = 16*g - 244. What is v(14)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((m**6\/m**6)\/(m**(-3)*m**7))**(-21) assuming m is positive.\nAnswer: m**84","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = -5*x**3 + 48*x**2 - 50*x + 24. Let k(d) = 12*d**3 - 114*d**2 + 117*d - 56. Let m(l) = 8*k(l) + 19*r(l). What is m(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2263?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(2\/5)*k)**42)**(1\/16) assuming k is positive.\nAnswer: k**(63\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1976*z - 1960*z + 3*z**2 - 1949*z + 5864*z.\nAnswer: 3*z**2 - 21*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1015624 and 8216.\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 113, 141, 169, 203, 249?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b and 2 x when three letters picked without replacement from {x: 4, q: 6, m: 1, d: 2, b: 2}.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 216327?\nAnswer: 3, 72109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v = 25072\/453 - 166\/3. Suppose -3*b = 1 - 4. Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*y**3 + 3*y**3 + 3*y - 4*y**3.\nAnswer: -4*y**3 + 3*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let x be 0 - (4\/1 + -9). Let r(j) = -5 - 1 - 2 - 4 + x*j. Calculate the smallest common multiple of r(6) and 32.\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrrrwrwwrccr. Give prob of sequence wwrr.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-3 - -3)\/(20\/4 + -6). Suppose -24 = -b - 5*u, 3*b + 3*u - 48 = -q*b. Solve b*h - 10*h = 8 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) be the second derivative of -f**3\/3 + 16*f**2 + 10*f + 2. Let q be o(10). Suppose 5*w = s + 15, 4*s + 8*w = 4*w + q. Solve s = -0*t + 5*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -3794, -15018, -33728, -59930, -93630, -134834?\n\"Answer: -h**3 - 3737*h**2 - 6*h - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve -70012 - 949967 = -9189*d for d.\nAnswer: 111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 6912586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(b) = 2*b**3 + 9*b**2 + 130*b + 610. What is c(-5)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 1007 and 53?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 102 and 15193274.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of ((-504)\/(-10))\/(-4) - -1 and -38\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 8 and 530635808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 286 and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = p**2. Let w(k) = -k**3 + 8*k**2 + 2. Let z(f) = v(f) + w(f). Let o be z(9). Is 2\/3 bigger than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d and 3 h when four letters picked without replacement from hhdhhhhhuhhhhhhh?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(99)*1 - sqrt(110)\/(2*sqrt(10)).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:48 AM and 11:10 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 500 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q = -27943 - -28043. Solve 3*y + q*a = 105*a - 13, 2*y + 3*a - 4 = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -450*f + 453*f + 372 = 1962. What is the remainder when f is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be ((-8)\/(-10))\/(2\/150). Suppose 7*m - 3*m = -q. Let l be 3*(-5)\/(m\/(-4)). Is l smaller than -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -380958449 rounded to the nearest 1000000?\nAnswer: -381000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, -1, -2, 2, -59 in ascending order.\nAnswer: -59, -2, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 74 (base 10) to base 6\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 931 - 932. Let r be (-11)\/4 - (-2)\/(-8). Let l = -594 - -593.9. Which is the nearest to t? (a) l (b) 2\/15 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 29*d - 13*d - 64. Sort d, -1, 2, -25 in decreasing order.\nAnswer: d, 2, -1, -25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -328250*u**4 - 17*u**2*x**3 + 1226183*u*x**3 + 2*u + 3 wrt u?\nAnswer: -3939000*u**2 - 34*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of 3161*l**2*s - 2654*s wrt l?\nAnswer: 6322*l*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y + 4 = -8. Suppose 42 = -2*v - 2*d, -v + 1 = -2*v - 5*d. Let z = v + 46. Calculate the smallest common multiple of y and z.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 79122592 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1675 - 1808?\nAnswer: -3584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*l + 3*a = 53, 71 = 5*l + 2*a - 3*a. Let y be (369\/82)\/(l\/8). Is y not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 45 = 5*z - 6*s + s, 5*s = -15. Let a be z\/(-27) - (-60)\/27. Find the second derivative of v**3 + 187*v**a - 187*v**2 + 6*v wrt v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 130488576.\nAnswer: 2, 3, 131, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -671, -665, -643, -593, -503, -361, -155, 127?\n\"Answer: 2*o**3 - 4*o**2 + 4*o - 673","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 16) in base 15?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 6.19781 and -0.19?\nAnswer: -1.1775839","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -4*r**2 - 48*r + 75. Calculate a(-12).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*w = -105*w - 6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: (-4064)\/(-226) - (33642\/(-21))\/(-89)\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -3*r**5*y - 113*r**3*y**2 + 1389*r**2*y**2 wrt r?\nAnswer: -180*r**2*y - 678*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Does 1657 divide 64951308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 1.4, 3, 20, 5, 6\/67, -41?\nAnswer: 6\/67","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8313 + 8313.5. Let r = 3.2 + -3. What is the closest to 1 in f, -5, r?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence kg when two letters picked without replacement from {g: 3, k: 5}?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = -o**3 + 8*o**2 - 3*o - 16. Let w be f(7). Calculate the greatest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand a**5 - 3*a + 3*a + 4*a**3 - a**5 - 4*a**3 + (0*a**4 + 0*a**4 + a**5)*(2 - 6 + 2) - 2809*a**3 - 1670*a**5 + 2809*a**3.\nAnswer: -1672*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -87? (a) 5 (b) -0.01 (c) -3 (d) 1\/4 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -525 in 2.7, 1\/52, 2\/7?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Round -10009620 to the nearest 100000.\nAnswer: -10000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from rrjjj. What is prob of sequence jjrr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1 - 1) + (7\/(-5))\/(372\/(-1860)). Let c(n) = -21*n**3 - 3*n**2 - 4*n. Let t(i) = 43*i**3 + 7*i**2 + 9*i. Give l*c(q) + 2*t(q).\nAnswer: -19*q**3 - q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 159*z - 163*z = 0, 5*y + 2*z = 0. Solve y = -26*m + 10*m - 64 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(x) = x**3 - 4*x**2 - x + 1. Determine d(4).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let i(m) be the second derivative of m**4\/4 - 5*m**3 + 6*m + 6. Determine c, given that i(c) = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -163\/2640 and -47\/31640.\nAnswer: 2088240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 u and 1 j when two letters picked without replacement from jue.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(228) - (sqrt(228) - sqrt(228)*-2))\/sqrt(12) - (sqrt(76) + 0 - sqrt(76))**2.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2*(-4 + (sqrt(242) - (-2*sqrt(242))**2) - ((sqrt(242) - (sqrt(242) + -2)) + -4) - (-3*sqrt(242)*-2 - (-1*sqrt(242) + 5))**2)*2.\nAnswer: -3124*sqrt(2) + 51412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = -9*j - 15. Let a be x(-12). Let u = -53 + a. Suppose 130 - 8320 = -70*z. Calculate the remainder when z is divided by u.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(3072)*5 - 6*sqrt(27)*6.\nAnswer: 52*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = 11344 - 6303. What are the prime factors of k?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-8)\/(-6))\/(37 + -41)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 2368?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -2386, -5019, -9406, -15547?\nAnswer: -23442","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -j**3 + 105*j + 98*j - 203*j.\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -50173 + -245?\nAnswer: -503b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = 189*n**2 + 2875*n + 654. Calculate x(-15).\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 729486 divided by 9006.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = 4*g. Let c be o(2). Let y = c - -8. What is the units digit of y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) be the first derivative of 7\/10*z**5 + 0*z + 0*z**2 + 0*z**3 - 16 - 1\/4*z**4. Factor x(s).\nAnswer: s**3*(7*s - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1875 = 29*h - 404*h. Let o be (-2 - (-13)\/3) + -2. Which is the smallest value? (a) o (b) -2 (c) -0.024 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(c) = 5*c**3 + 13*c**2 + 5*c + 5. Let m be y(-3). Let x be (-5 + 10)*1*4\/(-5). Put 1, x, m, 5 in descending order.\nAnswer: 5, 1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9824 is divided by 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7226.\nAnswer: 2, 3613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 21\/4 of a gram?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 52513.92ms in minutes?\nAnswer: 0.875232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = -3*v + 17 + 3, 3*n - 20 = -2*v. Solve -3*z = -v*w - 19, 3*z - 10 = w - 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 239.5039ml in litres?\nAnswer: 0.2395039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 518331520 divided by 279424\nAnswer: 1855","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = z + 1. Let b(h) be the second derivative of -2*h**3\/3 - 5*h**2 + 243*h. What is b(u) + 10*o(u)?\nAnswer: 6*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w = -25 + 30. Suppose -8 = -2*f, -4*l = -8*l + 5*f + 80. What is the second derivative of -l*k + 9*k**w - 11*k**5 + 26*k**5 wrt k?\nAnswer: 480*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.314 times -0.1?\nAnswer: -0.0314","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -21, -3, -1 in descending order.\nAnswer: -1, -3, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let r(q) = q**2 - q + 1. Let v(l) = -l + 1. Let s be v(-1). Suppose 0 = s*k - 3*k + 7. Does 13 divide r(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from faxafxfaafxffxaf. Give prob of picking 2 a and 1 x.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*u - 72 + 51 + 3*u - 4*u + 38 + 11.\nAnswer: 2*u + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 6*t + 12 = 0. Suppose g = -t*h - 14, 5*g - 5 = 4*h + 21. Suppose g*l - 16 = 6. What is the remainder when 42 is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 10 + -10.34. Let k = o - -0.464. Let h = 0.124073 - k. Round h to five decimal places.\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = 7*i**2 - 3*i - i**3 - 41 - 40 + 73. Calculate the remainder when ((-8)\/(-6))\/((-4)\/(-114)) is divided by u(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 3 and 0.0555584.\nAnswer: 0.1666752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 1231229.97 milliseconds to days.\nAnswer: 0.014250346875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express -47 + 11867*r**3 - 580*r**2 + 45 - 11869*r**3 in the form w*r**2 + t*r**3 + j + p*r and give w.\nAnswer: -580","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 200 (b) -1.5 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12816 and 1008.\nAnswer: 89712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((-3 + 2 + (sqrt(3) - (0 + sqrt(3))) + -1 + 0)*3)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3173622 - -50926879\/16. Let b = -9311 + o. What is the common denominator of b and -87\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 9824 and 5526?\nAnswer: 88416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i = -381 - -552. Let y = -1 + -27. Let o = y + 47. What is the highest common divisor of i and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*d + 470 = 5*v, 2*v + 2*d = -14 + 202. Find the third derivative of 7*k**2 - v*k**5 + 33*k**5 + 31*k**5 + 33*k**5 wrt k.\nAnswer: 180*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(p) = -2*p - 8. Determine x(3).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*(sqrt(40)*1*2)\/(1*sqrt(8)*-5).\nAnswer: 2*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5688?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1897?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine m, given that -80\/9*m + 26\/3*m**2 - 2*m**3 + 8\/3 = 0.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -9*j - 113. Let q be z(-12). Let n(w) = -w**2 - 15*w - 1. Let u be (9 - -3)*(-4)\/3. Let y be n(u). Put -4, q, y in descending order.\nAnswer: -4, q, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3 + -5 + sqrt(567) + sqrt(567) + (sqrt(567) + sqrt(567) + 0 + sqrt(567) - sqrt(567))*6 + 4 + 3 + -3)**2*-5.\nAnswer: -555680 - 2520*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 21350\/80 - (-1)\/8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 70 and 670.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) be the second derivative of -b**5\/20 + b**4\/4 + b**3\/3 + 3*b. What is s(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = 5*v**2 + 33*v - 66. Give t(-8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 162176032001 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = 130*s - 642. Calculate l(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 39?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 661 minutes before 2:02 AM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 709 minutes after 11:43 PM?\nAnswer: 11:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of p**2*u**3 - 19*p**2*u**2 - 2629*p**2*u - 3*p**2 - 9290*p*u**3 + 254*p*u**2 wrt p.\nAnswer: 2*u**3 - 38*u**2 - 5258*u - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -40*a + 91 - 91.\nAnswer: -40*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = -66 - -34. Let o = w + 32.5. Which is the biggest value? (a) 2 (b) -3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = t**3 - t**2 + 3. Suppose 5*f - 4*l + 45 = 0, -f + l - 4*l + 10 = 0. Let s(i) = 7*i**3 - 7*i**2 + 2*i + 12. Let g(r) = f*j(r) + s(r). Give g(2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(b) = -b**3 + 11*b**2 - 2*b - 14. Let y be o(9). Let d(i) = -70*i - 65*i + y*i. Let p(j) = 0*j**2 - 4*j**2 + j**2. Calculate d(p(w)).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 360*g + 382*g - 737*g + 0 + 3.\nAnswer: 5*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -31\/5934 and -11\/240?\nAnswer: 237360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11 - -1 - 8) + -9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in fifteen quarters of a gram?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 2\/1733 equal to -251?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 192235489 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 0.7, 0.3, 28?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 569 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate -8611*-36533.\nAnswer: 314585663","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zzzzzzzzzz. What is prob of picking 2 z?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: 1a7 (base 15) to base 10\nAnswer: 382","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(y) = -16*y**2 + 2*y + 3. Determine i(-2).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 5923815 divided by -1185\nAnswer: -4999","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 90 and 144.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6028 - 12709 + 6681 + 6041*c.\nAnswer: 6041*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 11*f**2 - 10*f + 7. Let h be w(-10). Solve 0 = -3*d + 4*b - h*b, 4*d + 27 = 5*b for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + 2*o - 12 = 0, 3 = -z + 3*o - 0. Let h be 1*3\/(z + 0). Let w = -0.1 - 1.9. What is the smallest value in w, h, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000163881789 rounded to 3 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 74815, 149609, 224367, 299071, 373703?\nAnswer: 448245","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 71312113385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve p = 1780 - 1776 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*i + 6*n - 64 = 0, -130*i + 3*n = -132*i + 50 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let a = 210326 - 100537. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -113 + -525. Let m = f - -640. Solve -4*k - 6 = -m*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*r = -4 + 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = -5*w - 5*w**2 - 12*w**2 + 7*w**3 + 30*w**2 - 12*w**2 - 3. Let b(a) = -8*a**3 - a**2 + 6*a + 4. Give -5*b(q) - 6*g(q).\nAnswer: -2*q**3 - q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12993 and 28684?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**1)**(-39))**(-28)*(d**2\/(d*d**(-2\/11)*d))\/(d**(1\/4))**(-29) assuming d is positive.\nAnswer: d**(48375\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand (-37*f - 133 + 133)*(-3 + 3 + 3)*(2*f**4 - 3*f**4 - 4*f**4).\nAnswer: 555*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 3*v - 4. Suppose 5*b - 7 - 8 = 0. Let t be a(b). Put t, 4, 1 in decreasing order.\nAnswer: t, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-343)\/245*(-4)\/(-70))\/(36\/(-30)).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2? (a) 5 (b) 0.878 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1.83 + 1.8300091. Round y to 6 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of ((-2)\/3)\/((-2)\/15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 5239?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 49\/482 and -57\/20.\nAnswer: 4820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(v) = -v**3 - 3*v**2 - 2*v + 2. Let x be f(-2). Suppose 0 = 5*q - w - 18, -6*q + x*w + 21 = -q. Let c(n) = n**2 - 3*n - 3. Determine c(q).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 v and 1 m when two letters picked without replacement from mvzzn?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate -160 divided by 100003.\nAnswer: -160\/100003","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = 1765*y. Let x(c) = 2*c**2. Calculate x(k(z)).\nAnswer: 6230450*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert -2321 (base 4) to base 9.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let -4*i**4\/5 + 4264*i**3\/5 - 1449792*i**2\/5 + 31547448*i + 97275060 = 0. What is i?\nAnswer: -3, 285, 499","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-93*z + 81*z - 145*z)*(-3*z + 3*z + 2*z**2) - 3 - 2*z**3 + 3 to v*z + j*z**3 + r*z**2 + i and give j.\nAnswer: -316","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(160)*2 - sqrt(10)) + (sqrt(10) - (sqrt(120) + sqrt(120) + sqrt(120)*2)\/sqrt(12))))\/(2*sqrt(242)*-1 + (sqrt(242) - -5*sqrt(242)*-2)).\nAnswer: 8*sqrt(5)\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -3 at most as big as -0.28898851?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find y such that 106\/15*y**3 - 34\/15*y - 22\/5*y**2 + 0 - 2\/5*y**4 = 0.\nAnswer: -1\/3, 0, 1, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -103573 + 793953 = 301*r - 616562. What is the lowest common multiple of r and 143?\nAnswer: 47762","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 156 is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(a) be the second derivative of -5*a**7\/7 - a**4 + 38*a. Find the third derivative of c(n) wrt n.\nAnswer: -1800*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 25804035*c**6*f**2 - c**3*f**2 + 2*c**2*f**2 + 4*c**2*f - 63*c**2 + 37*c*f**2 + 509*c*f + 2*f**2 wrt c.\nAnswer: 3096484200*c**3*f**2 - 6*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(3\/5)*b*b**2)**42\/((b**(-4\/5)\/b*b*b*b**2)\/(b*b*b**(-2\/21)*b*b**(-1))) assuming b is positive.\nAnswer: b**(3169\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -338 divided by 1079?\nAnswer: -26\/83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3632869?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = 598*f**2 - 5*f + 20. Let k(v) = -72656*v**2 + 608*v - 2432. Let y(n) = 608*j(n) + 5*k(n). Let u(h) = 3*h. Give y(u(l)).\nAnswer: 2736*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s(b) = 9*b**2 - 8*b + 2. Let h(q) = 27*q**2 - 23*q + 7. Let c(t) = 2*h(t) - 7*s(t). Find the second derivative of c(i) wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*t - t = 582 - 568 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 14*d = 17*d - 210. Suppose 4*v = -v + d. What is the remainder when 29 is divided by v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 6.076249 centuries to decades.\nAnswer: 60.76249","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 104710257 + 1?\nAnswer: 104710260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1 + -1. Let g = 341.6 + -342.6. What is the biggest value in -3, g, d, 1\/7?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 175 a factor of 8130325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g(u) = u**2 - 16*u - 7. Let o be g(17). Suppose 4*t - 24 + 2 = -2*l, -o = -3*t + 5*l. Calculate the greatest common divisor of t and 160.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 2897.809 weeks in minutes?\nAnswer: 29209914.72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of 518, 517, 516, 515, 514, 513?\n\"Answer: -i + 519","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/4 in 184, 1, 0.3, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is next in 8731, 17453, 26163, 34855, 43523?\nAnswer: 52161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 20*z**3 + 14*z**2 - 14*z - 14. Let j(c) = 4*c**3 + 3*c**2 - 3*c - 3. Determine 14*j(y) - 3*k(y).\nAnswer: -4*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -24b (base 15) in base 6?\nAnswer: -2225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-10)\/3)\/(18\/(-27)). Suppose 3*k + w = 7*k - 408, t*w = -3*k + 329. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 15277184 is divided by 61.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.817349 rounded to two decimal places?\nAnswer: -0.82","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 2 divided by -1120?\nAnswer: -1\/560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 57 and 1311?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -19 + 9.4. Let g = k + 10. What is the nearest to -1\/2 in -1, g, 2\/13?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -7\/2 + 15\/4. Let z = -30.69 + -0.31. Let h = -31 - z. Put h, -0.4, l in descending order.\nAnswer: l, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 48671439, 97342874, 146014307, 194685738, 243357167, 292028594?\nAnswer: 340700019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = o**2 + 9*o + 3. Let i be c(-7). Let p = i - -11. List the prime factors of 1\/(p + 3\/132).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*a + 5 = a. Let x be (1\/a - 1)*-1. Suppose -3*n + 24 = i, 2 = -x*n + n. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 3, -2, -19\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 21 * 154.5\nAnswer: 3244.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 16289662 (base 10) to base 13.\nAnswer: 34b466c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = -w**3 - 8*w**2 + 6*w - 10. What is the units digit of q(-9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -195*l**5 - 26813*l**3 + 2*l**2 + 170986383*l wrt l?\nAnswer: -3900*l**3 - 160878*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 275.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 4 and 608.\nAnswer: 608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = 59773*y. Let n(p) = -p - 59. Calculate n(j(r)).\nAnswer: -59773*r - 59","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) = -z**2 + 20*z - 33. Determine b(19).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(g) = g - 1. Let x be m(6). Suppose -h = -3, u + 3*h - 3 = x*h. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.1 - 1. Suppose 0 = -4*v + 12, -2*r - 11 - 3 = -4*v. Which is the third biggest value? (a) o (b) -2\/11 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 395\/2765 - (94\/(-126) + 1).\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 1255913 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v\/(v\/(v**3\/v))*v)**(10\/7) assuming v is positive.\nAnswer: v**(30\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3445258?\nAnswer: 2, 29, 191, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 - 1)*(370 - 501 - 8*i - i**2 - i).\nAnswer: i**2 + 9*i + 131","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -259 - -10?\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1623, -2576, -3529, -4482, -5435?\nAnswer: -6388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) be the first derivative of -2*h**3\/3 - 1. Let d = -15 - -11. Let v be (16\/d)\/(-2) - 1. Calculate r(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -m**3 + 7*m**2 + 3*m + 10. Let x be f(7). Let j = x - 3. Does 7 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 34350 + -17?\nAnswer: 34333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.4? (a) 4587 (b) 1 (c) -0.18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.3 in -4, 3\/3410, -1, -5?\nAnswer: 3\/3410","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -1180, -34, 0 in decreasing order.\nAnswer: 4, 0, -34, -1180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 4*t + 8 = -0*u, 4*t = 0. Sort 2, u, -4 in descending order.\nAnswer: u, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 + 4 - 2)*(281 - 22*q - 281)*(-39 + 39 + 8*q).\nAnswer: -176*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = -n**2 - 5*n + 2. Let f be c(-6). Let l(v) be the third derivative of -v**4\/24 - 2*v**3\/3 + v**2 + 612. Determine l(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 407 + -717. Let g = p - -311. Solve -6*w = 25 - g for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (183\/(-12))\/(1\/(-4)). Suppose -3*l = -4*q - 78, -q - 2*q + l - n = 0. Let v = 22 - q. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(p) = p - 3. Let m be g(0). Let w be (m\/(-13))\/((-6)\/4). Let f = 133.25 - 132.85. What is the smallest value in 4, w, f?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00038317 to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*j**2\/3 + 9596*j\/3 - 9590.\nAnswer: -2*(j - 4795)*(j - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 337*m**3 + 4*m**2 + m - 112*m**3 - 114*m**3 - 2 - 106*m**3. Let i be y(-1). What is the closest to 1 in 4\/3, 5, i?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(h) = -2*h**3 - 12*h**2 + 28*h - 4. Let x be z(2). Let u(c) = -c**2 - 12*c - 6. Calculate u(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify i**(4\/9)*i**(-3\/5)*(i\/i**(1\/4))**(-6\/5)*((i*i**(-1))**(-36))**6 assuming i is positive.\nAnswer: i**(-19\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i + 5*y = 19, 10 = i - 6*i - y. Let x(j) = 5*j**2 + 1. Let q(v) = -6*v**2 - 2. Let f(h) = i*q(h) - 4*x(h). Factor f(c).\nAnswer: -2*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -422 + 0*f**2 + 390 + 2*f**2.\nAnswer: 2*f**2 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6\/(-9) - (-357)\/9?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(r) = -r**3 + r**2 - 5*r + 4. Let h be w(6). Let o = h - -103. Let g = 4 - o. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of 512254, 1024504, 1536754, 2049004, 2561254, 3073504?\n\"Answer: 512250*u + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*b**3 - 669*b**2 + 1329*b - 663 = 0.\nAnswer: 1, 221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Put -0.6, 0.04, -100, -0.5 in ascending order.\nAnswer: -100, -0.6, -0.5, 0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g(o) = -472*o + 468*o + 40 - 17. What is g(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-4 + (-371)\/(-84))\/((-10)\/135). Let o = 12 - 17. Which is smaller: b or o?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 6*6\/(-48) + (1 - (-47470)\/8).\nAnswer: 2, 3, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -171 - -171. Let h(s) = -s - 1. Let l(p) = 4*p + 3. Let d(j) = -3*h(j) - l(j). Let y be d(t). Solve y*w + 4*w - 4*g - 40 = 0, -3*w - 3*g = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115254 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) 0.3 (c) -1 (d) -1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*c**2\/11 + 368*c\/11 + 7272\/11.\nAnswer: -2*(c - 202)*(c + 18)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = -p**3 + p**2 - 5. Suppose -r - 5*z = r - 6, 0 = -5*z + 10. Let o be r\/17 - (-870)\/170. Let l(y) = -y**3 - 2. What is o*l(x) - 2*f(x)?\nAnswer: -3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) be the second derivative of -102*b**5\/5 + b**4\/6 - b**3\/3 - 95*b**2 + 2*b - 2379. What is the second derivative of y(c) wrt c?\nAnswer: -2448*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 110338, 220527, 330700, 440851, 550974, 661063?\nAnswer: 771112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 451*u - 4854. Determine o(11).\nAnswer: 107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 = g - 22. Calculate the remainder when g is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(104)\/(sqrt(200) + 1*sqrt(200)) + 3.\nAnswer: sqrt(13)\/10 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.3 (b) 179686 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/5 of a meter in centimeters?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -211*k + 216*k = -25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 5280787 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 51*c + 7*c + 43*c.\nAnswer: 101*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-3)\/(-54)*-1)\/((-1)\/8). Which is the closest to 0.1? (a) 1\/6 (b) p (c) -20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 898890233?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 75 - 35 = -10*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 466 minutes after 2:03 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17787 divided by 147.\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -400 and -156?\nAnswer: 62400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Convert 413054 (base 6) to base 10.\nAnswer: 33082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b = 2.761 - -0.439. Let m = -461366999.79999971 + 461367003. Let z = m - b. Round z to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-23)\/(-2))\/(3\/6). Let v = -17 + s. Let z(y) = 9443*y**2 + 10*y - 8. Let w be z(v). What is w rounded to the nearest 100000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 17 + -11 + -1 + -5 - -2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*s = -6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b*b**(-1\/3))\/(b*b*b*b*b**(-11)))\/(b\/(b**(2\/5)*b)*b*b\/(b*b*b*b**(1\/6)*b)) assuming b is positive.\nAnswer: b**(307\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = -3*p - 10. Let r(c) = c**2 - 7*c + 7. Let i be r(4). Let t be h(i). Suppose -6*w = t + 79. Sort w, 5, 2\/13.\nAnswer: w, 2\/13, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 321534 times -0.7?\nAnswer: -225073.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = 7*h**2 + h + 1. Let r(d) = 16*d**2 + d + 1. Determine 3*r(c) - 5*v(c).\nAnswer: 13*c**2 - 2*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 8924.62 rounded to the nearest 10?\nAnswer: 8920","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand -k**3 + 0 + 0 + (-3*k**2 + 2*k**2 - k**2)*(12*k - k + 0*k) + 3*k**3 - k**3 - 3*k**3 + (-5*k + 4*k + 3*k)*(3*k**2 - 5*k**2 + 3*k**2).\nAnswer: -22*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {i: 5, p: 1, f: 1, x: 1, j: 3, l: 1}.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 70769.29 kilometers in meters?\nAnswer: 70769290","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 4 = -4*f, 0*f + 10 = 5*q + f. Let j(t) = t + 1. Let z be j(2). Solve z*g + 6 = 5*g + x, q = g + x for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -9 + 20 + (7 - (4 + -2)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3070*x - 680672 = -3102*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 48\/121 and -97\/21179752.\nAnswer: 232977272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d = -35 + 103\/3. Let w = -26\/3 + 9. Put 0.4, d, w in ascending order.\nAnswer: d, w, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {v: 3, a: 5, o: 1, u: 3, e: 1, j: 1}. What is prob of picking 1 u, 1 o, 1 e, and 1 a?\nAnswer: 15\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 3 and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence risr when four letters picked without replacement from eikrrseesrsere?\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = 21\/68 + -1\/17. Sort 5, 2\/3, u in increasing order.\nAnswer: u, 2\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 88\/65 - 6\/5. Which is the nearest to 0? (a) -0.1 (b) l (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*a = 4*a + n - 26, 2*a = -5*n + 16 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let n = 3262 + -832. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 0.371587 centuries?\nAnswer: 445.9044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let l(y) = -4*y - 2. Let b(a) = a + 1. Let q be b(-5). Let n(t) = -1. Let d(r) = q*n(r) + l(r). Let u(j) = -9*j + 5. Determine -7*d(w) + 3*u(w).\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 8 = 4*f, 2*n - 4 - 6 = -5*f. Suppose 0 = 4*k + q - 128, n*k + 3*k + q - 96 = 0. Does 16 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = -w**3 + 9*w**2 + 11*w - 8. What is the units digit of d(10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 617?\nAnswer: 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -11*c = -3*c - 1296. Let r = c + -84. Let w be (2\/(-8))\/(13\/r). What is the nearest to 2 in 1\/7, w, 5?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.1 - -1.46. Let x = -0.84 - v. Suppose -4*h = 4*q - 3*h - 8, -7 = -5*q - 2*h. Which is the second smallest value? (a) q (b) -5\/3 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.2 and -581.\nAnswer: -116.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 4 + j**3 - 3*j**2 - 2*j + j**3 + 0*j. Let f be 2\/6*3 + -4 + 5. What is the units digit of b(f)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(y) = 3*y - 46. Let d = -41 - -59. Let j be z(d). Suppose 3*v = q + j, 2*q + v - 4 = 2*v. Solve r = -r + q for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 20*c**3 - 3*c - 15. Let n(x) = -x - 1 + 7*x**3 - 4 - 6 + 6. Let f(p) = 17*n(p) - 6*o(p). Determine f(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2064, 4, -2, -3 in descending order.\nAnswer: 2064, 4, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 967, 1676, 2387, 3100, 3815?\nAnswer: 4532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -56561, -56567, -56575, -56585, -56597?\n\"Answer: -r**2 - 3*r - 56557","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p = 0.4 + -0.3. Let d = -118 + 231\/2. Let v be (3 + 0)\/(1 + 4). What is the closest to -1\/3 in d, p, v?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:57 AM and 7:00 AM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -41*x*z**2 + 5*x*z - 6324*z**2 - 233807*z wrt z?\nAnswer: -82*x - 12648","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 1182953 minus -0.13185?\nAnswer: 1182953.13185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11099 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-8 + 4\/2)*10\/(-150). Which is the nearest to -3\/4? (a) -3\/7 (b) 0 (c) -0.06 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 290236249 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -70*s + 73780 = 13*s - 6149. What is the highest common factor of 4601 and s?\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q**3 - 2*q**2 + 6*q - 2. Let z(i) be the third derivative of i**6\/60 + i**5\/12 - 11*i**4\/24 + 5*i**3\/6 + 160*i**2 - 2*i. Give 5*s(l) + 2*z(l).\nAnswer: -l**3 + 8*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -227*n = -469*n + 4598. Solve 4*z + 4*o = -24, -4*z + 5*o - 4*o - n = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 313276853.000333 - 313276693. Let w = 160 - c. Round w to five dps.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14 - 37. Let a = p + 29. Suppose 2*x - 62 = -4*h, -x - 5*h = -a*h - 25. Calculate the highest common factor of 27 and x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) be the first derivative of -r**5\/3 + 7*r**4 - 32*r**3\/3 + 62*r**2 - 175. Let s(i) be the second derivative of b(i). Factor s(x).\nAnswer: -4*(x - 8)*(5*x - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15678804?\nAnswer: 2, 3, 67, 19501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 43133151 (base 6) in base 2?\nAnswer: 100110110100100011011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*i**5 - 30*i**4 + 972*i**3 - 6588*i**2 + 17334*i - 16038.\nAnswer: -2*(i - 9)*(i - 3)**3*(i + 33)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the second derivative of 0 - 1\/110*n**5 - 4\/33*n**3 + n + 0*n**2 - 2\/33*n**4. Factor b(r).\nAnswer: -2*r*(r + 2)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-140)\/(-42))\/(15\/18)*45\/20.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -110*d - 3508 = 5*l - 9*l, l = 5*d + 157 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y(t) = 5027*t**2 - 2*t - 1. Let w be y(-1). Suppose -4*x + 3176 = -w. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(l) = l. Let q be 2 - (3\/(-1) - -3). Let p(f) be the second derivative of 0 - 1\/6*f**4 + 0*f**2 + 0*f**3 + q*f. Calculate z(p(n)).\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 514427 - 1?\nAnswer: 514426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(y) = -195*y**3 - 3*y**2 + 443*y + 18. Let r(m) = 390*m**3 + 5*m**2 - 885*m - 30. Let v(d) = -3*r(d) - 5*w(d). Find the second derivative of v(k) wrt k.\nAnswer: -1170*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5051789894?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 188 divided by -4?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -280 divided by 2?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 134.67108 months?\nAnswer: 0.1122259","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let j = 70 - 70. Let w(a) = -a - 1. Let s be w(-2). Let u = 0.29 - -0.01. What is the nearest to 1\/4 in u, s, j?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*u + 3*u = -2*z + 45, -4*u = 4*z - 188. Let y = -195\/4 + u. Let f = 30 - 29.9. Sort y, -4, f in descending order.\nAnswer: y, f, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 9526?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1884.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1 + -0.7. Suppose 18*a + 1527 = 1509. Let f be (-3 + 2)*(-15)\/(-25). What is the closest to a in -1, f, h?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -19 or 453?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 96*i - 4*i - 4416 = 0. Calculate the smallest common multiple of 56 and i.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -698 - 3?\nAnswer: -69b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) be the third derivative of n**8\/168 - 4*n**7\/105 - 11*n**6\/240 + 27*n**5\/40 - 9*n**3 - 124*n**2. Solve i(f) = 0 for f.\nAnswer: -3\/2, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -1010301230 (base 4) to base 5\nAnswer: -33003313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.06 and -1064.83.\nAnswer: -63.8898","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 6 and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5883137 a multiple of 381?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of (-22096)\/(-32) - (-3)\/(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) = -4*k**2 + 3. Let r(z) = z + 1. Let v be r(0). Let p(a) = a**2 - 1. Let c(i) = v*p(i) + q(i). Find the first derivative of c(g) wrt g.\nAnswer: -6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -6*d + 27 + 3 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1 + 3. Suppose 17 - 5 = y*w. Differentiate 3*p**3 + 4 - 10 - w*p**3 - 2*p**3 with respect to p.\nAnswer: -6*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -575, -576, -577, -578, -579, -580?\n\"Answer: -b - 574","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 12110358 and 6055179?\nAnswer: 12110358","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -52*a + 135 - 74 = -303 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1 = -2*w + 4*r + 11, -2*w - 14 = 4*r for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -33, 756, 3141, 7920, 15891, 27852?\nAnswer: 44601","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.06? (a) 1 (b) 57 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 15636606?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -443 + 1021?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -425 (base 7) to base 8\nAnswer: -327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -146061*h**3*k - 180286*h**3 wrt k?\nAnswer: -146061*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let l be 3 - (2 - 1)*-2. Let p(t) be the second derivative of t**4\/6 - 3*t**3\/2 - 3*t**2 - 7*t. Let o be p(5). Put o, 1, l in increasing order.\nAnswer: o, 1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = k**3 + k**2 + k - 1. Let y be j(0). Let w be (y + 2)*(-2 - -7). Let l be 90\/75*w\/(-11). Is l < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 e and 2 r when three letters picked without replacement from reereeeeeereeee?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-5)\/(r*((r\/((r\/(r*r**(-1)*r))\/r))\/r)\/r))\/(r*r**(1\/2)*r)**(-6\/29) assuming r is positive.\nAnswer: r**(-159\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is -3361 divided by 13728?\nAnswer: -3361\/13728","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 7862.\nAnswer: 47172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 3344 and 17102052.\nAnswer: 836","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 82563.64l in millilitres?\nAnswer: 82563640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 1638418 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-8)\/((-2)\/(-1)))\/((-36)\/(-36))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -36 (base 13) in base 7?\nAnswer: -63","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 32 + -23313?\nAnswer: -23251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 11177415 to the nearest integer?\nAnswer: 3343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2 + sqrt(3) + -5)**2 - (sqrt(30) + sqrt(30) + sqrt(150)\/sqrt(5))\/sqrt(10).\nAnswer: -17*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -0.80692 - -5\nAnswer: 4.19308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 5\/3 (b) -411 (c) -3 (d) 2\/11 (e) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -48 - -61. Suppose -3 + a = -2*d - 5*g, -4*g = 8. Solve i + 5 = 3*l - d, -2*l - 5*i = 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = 5*v**2 + 5*v - 8. Let p(j) = 4*j**2 + 4*j - 9. Determine -6*a(r) + 7*p(r).\nAnswer: -2*r**2 - 2*r - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = s**2 + 7*s + 4. Let g be (-2)\/(5\/(-40)*-4). Let v be f(g). Let r be 3*-2 + -5 + 6. Is v != r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find m such that 0*m + 14\/3*m**4 + 0 + 6*m**3 + 4\/3*m**2 = 0.\nAnswer: -1, -2\/7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 1 (c) 1\/5 (d) -2041\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4447\/4 - 31093\/28. Which is the smallest value? (a) y (b) 0.4 (c) 4 (d) 11 (e) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ze when two letters picked without replacement from {e: 4, z: 8, d: 2, v: 3, m: 2}?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(-21)\/p*p*p\/(p\/p**12) assuming p is positive.\nAnswer: p**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 133004 + -4?\nAnswer: 133000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -6, 4, -0.2, 0.236, 0.2, -1\/4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 2915017.8 months?\nAnswer: 242.91815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 9529919 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -5 - -20e?\nAnswer: 209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2442, -4884, -7326, -9768, -12210, -14652?\nAnswer: -17094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 11022851?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose x + 2*z = -203, 0 = -3*x - z - 549 - 50. Let w = -8 - x. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 11) to base 6\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n - 55 = -510. Let q = n - 53. Solve h = 3*g + 6*h - q, 2*g = 2*h - 8 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) = 3*x - 26. Let i(v) = 293*v**2 + 614. Calculate i(m(q)).\nAnswer: 2637*q**2 - 45708*q + 198682","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(t) = t**2 + 6*t + 5. Let v be (-135)\/9*2*2\/6. Let z be (-1)\/(8\/(-6)) + v\/(-8). Let a be z\/4 + (-9)\/2. Determine x(a).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*a - 13*a = 5*p - 15, 2*p - 2 = a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5929) - (sqrt(5929) + (sqrt(5929) + (sqrt(5929) - sqrt(5929)*-3) - sqrt(5929))))\/((sqrt(7) + sqrt(7) + 3*sqrt(7))*1).\nAnswer: -44*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*s - 100*s**2 + 109*s**2 - s - 4*s**2 + 0*s + 0*s - 6*s**2 + s**2 + 3*s**2 + (5*s + s - 4*s)*(-2 + 2 - 2*s).\nAnswer: -s**2 - 3*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p be 12\/(-1)*(-9 - (-39)\/9). Factor -3*l**5 - 7*l + 18*l**3 + 16*l - p*l**2 + 32*l**2.\nAnswer: -3*l*(l - 1)**3*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 192389762 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-10)\/4)\/(1\/2). Let g(u) = -u**2 - 5*u + 2. Let c be g(t). Let q(s) = -s + 20. Let l be q(6). Calculate the greatest common divisor of l and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1631 (base 7) in base 9?\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -38882953191302.9 + 0.3?\nAnswer: -38882953191302.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000044 rounded to five decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:33 AM and 9:09 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/187 < -26910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y = -4.8 + 5. Let p = y + -1.15. Round p to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/1266968 and -111\/80?\nAnswer: 12669680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -482 + 482 - 2*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is -224777 (base 10) in base 3?\nAnswer: -102102100002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -353222 divided by 6?\nAnswer: -176611\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**2 - 13*d + 68. Let y be p(-17). Solve 4*x + 2*x = y for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -6*z**2 + 95. Let n(q) = -13 - 118*q**2 + 5 + 120*q**2 - 24. What is 3*a(i) + 8*n(i)?\nAnswer: -2*i**2 + 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 99017503 to the nearest integer?\nAnswer: 463","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -15049.728 rounded to the nearest ten?\nAnswer: -15050","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2290?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = i - 19. Let q be s(23). Let w(p) = -912*p - 906*p + 1822*p. Let g(t) = t**2 + t. Calculate q*g(j) - w(j).\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 71091 (base 11) in base 9?\nAnswer: 167484","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-80)\/18 - -4)*57\/304?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) = 8*q + 3. Let a be (13 - 12) + -1*1. Suppose -2*w + 6 = -4*y, 11 = -a*y - 4*y + w. Let k(h) = -7*h - 2. What is y*u(m) - 5*k(m)?\nAnswer: 3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 0.627294015 or -1\/4?\nAnswer: 0.627294015","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 1194.908 rounded to the nearest integer?\nAnswer: 1195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 8*h + 6*h + 4*h + 19*h - 27*h.\nAnswer: 10*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6*j**2 - 25*j - 13*j**2 + 20*j + 9*j**2.\nAnswer: -10*j**2 - 5*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j - 3*g + 73 + 12 = 0, 2*j = -g - 65. Which is bigger: j or -43?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 50800386*k - 50800386*k - 8*k**3.\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let u be 10\/(-35) + 30\/7. Suppose 2*y + 4*o - 83 = 27, -y + 2*o = -35. Suppose 5*a - 2*m - y = 48, -2*m + 78 = 4*a. Solve -4 = u*j, 3*j + a = -3*q - q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 0\/2 + 27 + -2. Suppose -2*j + 3*j + b = 2, 0 = -5*b + f. Put j, 1, -2 in ascending order.\nAnswer: j, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose w**2\/8 + 26*w + 7335\/8 = 0. What is w?\nAnswer: -163, -45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = -5*k**2 - 5*k + 12. Let m(f) = 22*f**2 + 19*f - 47. Give -2*m(o) - 9*y(o).\nAnswer: o**2 + 7*o - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 71800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*j - j + 9 = 0. What is the remainder when 10 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 871541.\nAnswer: 11, 79231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -2 (b) -2\/5 (c) -4\/1293\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -1363*t = -1756*t - 9144 - 4218 for t.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 323 minutes before 12:43 PM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q be 1\/(15\/(1 - -2)). Let h = -8386 - -8405. Sort h, 0.08, q in descending order.\nAnswer: h, q, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -74 + 86. Let t(x) = x**2 - 3*x - 10. What is the tens digit of t(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-224)\/(-196))\/(43\/(-7) - -3).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (n**(2\/15)\/n*(n*n**(-10))\/n)**(-6\/11) assuming n is positive.\nAnswer: n**(326\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3617368750?\nAnswer: 2, 5, 578779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2472999265 to the power of 1\/2, to the nearest integer?\nAnswer: 49729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {a: 7, u: 9}. Give prob of sequence aua.\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j = -3464 - -3768. Calculate the remainder when j is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be ((-21)\/(-5))\/(3\/(-15)). Is -21 at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 3 = h - 102, -2*h + 198 = 3*a. Calculate the greatest common factor of h and 1296.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49025928.8 less than 3?\nAnswer: -49025925.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 10 - 221010122020212?\nAnswer: -221010122020202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*k + 9*k. Solve 5*t + 10 = -k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 2166611677?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 2275 and 27525.\nAnswer: 2504775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = -144 + 100. Let i be -3 + (-148)\/o + 0. Suppose -34*z = -31*z. Which is the third smallest value? (a) -3 (b) i (c) 2 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 4, -5.9, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3622, 3699, 3776, 3853, 3930?\nAnswer: 4007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence svo when three letters picked without replacement from vsoooooooogos.\nAnswer: 3\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 10782499451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y = 3*l + 20, 3*l + 18*y = 21*y - 18 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let g(i) = -71*i**2 - 42*i + 12. Let m(a) = -210*a**2 - 127*a + 34. Determine -17*g(d) + 6*m(d).\nAnswer: -53*d**2 - 48*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = -11*f**2 + 191083*f - 1527959. Give t(8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*g + 271 = 5*q, -7*g = 5*q - 5*g - 277. Let x be -3 - (q\/44 - 75\/12). Solve 0 = -x*r - 0*a + 3*a + 6, 5*a + 20 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 5222?\nAnswer: 2, 7, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 9579 is divided by 23.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.2797 - 0.3697. What is the nearest to u in -2, 0.1, 31?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4 - 15 = c + 2*t, -5*t - 47 = -4*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 699 minutes before 1:57 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 2.621913 nanoseconds?\nAnswer: 0.000002621913","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y = 32935 + -14385. What is y rounded to the nearest one thousand?\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -8, 1, -4, -883 in descending order.\nAnswer: 1, -4, -8, -883","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -4*w**2 - 226*w - 1. Let l(f) = 2*f**2 + 118*f + 1. Calculate 5*l(k) + 3*y(k).\nAnswer: -2*k**2 - 88*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = 4*r**2 - 4*r - 1. Let m be j(-4). Let h = m + -71. What is the remainder when 22 is divided by h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 76276497.4 to the nearest ten thousand.\nAnswer: 76280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 6*a**3*p + a**3 - 4*a**2*k**3*p + 3*a**2*k**3 + 2*k wrt p.\nAnswer: 6*a**3 - 4*a**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is -1*(-1)\/((-88)\/(-264)*(-3)\/(-1))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Product of -1.75 and 175.63.\nAnswer: -307.3525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*p + 0*p = 0. Let y = -6 - p. Is (-229)\/(-3) + (-4)\/y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 0.0815495kg?\nAnswer: 81549.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is thirty-three fifths of a century in decades?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -404814 - 159*p**2 + 621*p**2 + 809627 - 404813 + 265*p**2.\nAnswer: 727*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence mpp when three letters picked without replacement from {p: 3, m: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 67*w**3 + w**2 - w. Let p be z(1). Let k = p - 4. Round k to the nearest ten.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-32 + 30)\/(18\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:56 PM and 2:33 PM?\nAnswer: 97","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 - 17*r**2 + 16*r + 28. What is d(16)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (0 - -4 - (-15 + 18))*(11 + -19)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 2*g + 4. Let u be k(-4). Let o(a) = -16*a**2 - 6*a - 11. Let l(w) = 3*w**2 + w + 2. Let s(i) = u*o(i) - 22*l(i). Find y such that s(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s**2 - 3875185*s - 3875190 = 0. Calculate s.\nAnswer: -1, 775038","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 9429099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 995.\nAnswer: 5, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 331 (base 5) in base 13?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -123 = -5*q - z - 116, 0 = -2*q + 5*z - 35 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 784 divide 2731610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 324 and 97354872?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 7125 + -7?\nAnswer: 711b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -8*k + 11 = 67 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 19 in -0.5, 2\/7, 5, 478?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 5989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is (1518\/(-252) - -6)\/(368\/(-64) + 6 + 0)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -19*j + 4695 = 2*r - 20*j, 2*j - 11751 = -5*r. Does 27 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = n**2 + 2*n + 7. Let z be g(-3). Let y = 267 - z. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (16*d - 4 + 11*d + 4 - 3*d)*(-137 + 137 - 4*d) as c*d**2 + p*d + v and give c.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 23 + 3400\/884*-26?\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 11604663857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 857, 856, 855, 854, 853, 852?\n\"Answer: -o + 858","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let n(a) = -3*a - 6 + 5 - 5 + a. Let j be n(-4). Suppose 0 = -j*s + 5*s. Solve 0 = -3*w - s*w - 4*y, -y = w - 1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (2607\/(-6) + -3)*-2352. Round m to the nearest 100000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (0\/(-4))\/1 - -2. Suppose y = -u + 1. Let f be 8 - -5 - 1*u. What is the highest common factor of f and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*h - 26*h + 56*h.\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.071 + 28.071. Let c = m - 27. Sort -2\/3, c, 2, 1\/2.\nAnswer: -2\/3, 1\/2, c, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -i**2 + 2*i**3 + 4*i - 6 - 4*i**2 + 3*i - i**3. Let c be p(4). Suppose 9 = 3*m + c. What is the greatest common factor of 2 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(13) + sqrt(65)\/sqrt(5) + sqrt(13) + sqrt(13) + sqrt(13) + 4 + 2)**2.\nAnswer: 60*sqrt(13) + 361","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 807364.5 minutes to hours.\nAnswer: 13456.075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = 102*j - 93. Calculate z(1).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) = j**2 - 5*j + 7. Suppose 3*d + 7 = -5*v, -v + 6*d - d - 7 = 0. Let f = 5 + v. Let q(r) = -2*r**2 + 14*r - 20. Let g(s) = f*q(s) + 8*o(s). Factor g(u).\nAnswer: 2*(u - 1)*(u + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(f) be the first derivative of f**5\/120 - f**3\/3 - 7. Let s(z) be the third derivative of n(z). Let m(a) = 4*a. Calculate m(s(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s + 5*l = 0, -4 = -s - s - l. Suppose w = -w + s. Let z = w - 0. Calculate the highest common divisor of 2 and z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -6*i*l**4 - 157*i*l**3 + 1878*i*l**2 - 78339*l**3 - 70*l**2 wrt l.\nAnswer: -144*i*l - 942*i - 470034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-23247)\/135 - -137)*(-10)\/8?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -29 or -248\/9?\nAnswer: -248\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t = -3 - 6, -4*i + 3*t + 51 = 0. Suppose -4*s = s - 4*j - 202, 0 = -3*s + j + 124. Calculate the remainder when s is divided by i.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/15)\/(50\/(-120))*1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = 0*l - 5108 - 2*l + 6*l + 5105. Suppose -5*q + 5*g = -10, 2*g + 0*g + 9 = -3*q. Let p be (-2 - q)\/((-3)\/9). Give v(p).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 112 a factor of 5032?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let s = -2.16 + 2. Let i = s + 5.16. Which is greater: -0.2 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -q**3 + 20*q**2 - 36*q = 0 for q.\nAnswer: 0, 2, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-124)\/765 + 57\/25650*20.\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 8163.629246 rounded to the nearest one hundred?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 361274511.\nAnswer: 3, 13, 712573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 10242?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + 6 + -10 + (2 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) be the first derivative of -2*g**3\/21 - 18*g**2\/7 - 85. Factor o(y).\nAnswer: -2*y*(y + 18)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 80*o - 307*o**2 + 108*o + 2*o**3 + 148*o + 215*o**2.\nAnswer: 2*o*(o - 42)*(o - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in one quarter of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (6\/243)\/(((-74)\/(-111))\/(4\/2)).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand -t - t + 0*t + (t + 0*t + 0*t)*(4 - 1 - 7) + (-36 - 165*t - 26 + 64)*(2 + 0 - 1).\nAnswer: -171*t + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -34*(-3)\/(-12)*((-14)\/14 - -3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (28\/6)\/7*15669\/6. Let s = y - 230. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -49, -158, -459, -1036, -1973, -3354?\n\"Answer: -14*b**3 - 12*b**2 + 25*b - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 5323906319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/8 of a millennium in years?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*v = -16, 4*v - 2 = 2*a + 2*v. Which is bigger: a or 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -1 + 1 + 12*a. Let g(k) be the third derivative of -k**7\/2520 - k**4\/4 + 31*k**2. Let j(w) be the second derivative of g(w). What is d(j(s))?\nAnswer: -12*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d + 12*d - 5448 = 0. Suppose -4*b = -755 - d. Calculate the remainder when b is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 8*y - 10*y = 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = 41\/5 - -59\/30. Calculate the common denominator of -13\/8990 and o.\nAnswer: 26970","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 19917*j + 290947*j + 24 - 46.\nAnswer: 310864*j - 22","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Divide 1025 by -5.\nAnswer: -205","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the sth term of -44, -87, -116, -125, -108, -59, 28, 159?\n\"Answer: s**3 + s**2 - 53*s + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sv when two letters picked without replacement from {v: 1, i: 1, f: 1, l: 1, s: 1}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 10663 divided by -378\nAnswer: -10663\/378","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.21 and -163.8065.\nAnswer: 34.399365","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -596*u**2 + 17*u - 4*u**3 + 1221*u**2 - 625*u**2 + u.\nAnswer: -4*u**3 + 18*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -436 + 1501?\nAnswer: 1076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(27) + sqrt(54)\/sqrt(2)*-4)\/(3*sqrt(324))*5*-1)**2 + -3.\nAnswer: -11\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 12373356899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 3432?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 12459, 25013, 37955, 51279, 64979, 79049, 93483?\nAnswer: 108275","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -55699? (a) -3\/4 (b) -3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g = 6 - 6.3. Let y = 0.4 + g. Let z = 51.67 - 48.67. What is the biggest value in 1, z, y, 0?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u = 3*g + 103, 5*u + 0*u - 3*g = 125. Suppose -2*t + 3*h - 2*h + 7 = 0, -3*t - u = 5*h. What is the units digit of (t - -6 - 1) + 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 8*((-17)\/(-2))\/(-17)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 22 = -2*p - 4*x, -412*p + 415*p - x = 2 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6 - 1225*c - 13 + 6731*c**2 + 7.\nAnswer: 6731*c**2 - 1225*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 578139139 to the power of 1\/3, to the nearest integer?\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40004017.\nAnswer: 40004017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Expand (18 + 408 - 36)*(4*n + 2*n - 4*n).\nAnswer: 780*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:50 AM and 7:20 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find l such that -l**5\/2 + 30221*l**4\/2 - 228312097*l**3\/2 - 228402765*l**2\/2 + 228342321*l = 0.\nAnswer: -2, 0, 1, 15111","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -109*x + 5247 + 3146 = 0. Calculate the greatest common factor of 7 and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p - 1 = -10. Suppose -9 = -3*a + p. Let r = 2 - 1.5. What is the closest to -2\/7 in a, -0.5, r?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-196*d + 3 + 331*d - 6)*(-3 + 1 + 0)*(-3 + 2 + 0) to the form o*d + f and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**2)\/r)**4 assuming r is positive.\nAnswer: r**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-9 - 0) + -1286 + 1344.\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: (-3)\/(7*30\/140)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -1917*k**2*m**3 + k**2*m**2*u - k**2*u**2 + 2*k*m**2*u**2 + 3*k*u**2 - 9*m**3*u**2 - 2*m**2*u**2 wrt k?\nAnswer: -3834*m**3 + 2*m**2*u - 2*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0 + 0 + 329608*q**3 - 329610*q**3.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 0.3828172cm in meters?\nAnswer: 0.003828172","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: (-26)\/((-31616)\/(-8688)) - -7 - (-2)\/8\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Convert -200001022011 (base 3) to base 15.\nAnswer: -703cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 12, 6, -708, 3, -3.\nAnswer: -708, -3, 3, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + 1 + 36 + (4 + 11 - -2).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let o(x) = 19*x**2 - 56*x - 304. Determine o(-6).\nAnswer: 716","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -0.159853+595017\nAnswer: 595016.840147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -45, -2\/55, 1, 2\/5?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Does 56 divide 1364?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-7 - 7 - 9)*(-3*r + 3*r - r).\nAnswer: 23*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + 4 + (sqrt(17)*2 + sqrt(17) + 1 - sqrt(17))**2.\nAnswer: 4*sqrt(17) + 78","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -188 + 654. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 q and 1 l when four letters picked without replacement from qqlqllqqqqlqlqll.\nAnswer: 21\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 1*((-884)\/(-1547))\/(3\/(-126)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 9 and 595?\nAnswer: 5355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from duuuswuuw.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -147 + 0.11\nAnswer: -146.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2 + 21 = p. Let j = -8 + p. Let w(q) = 2*q**3 - 33*q**2 + 43*q + 34. Let f be w(15). Sort j, f, 2.\nAnswer: 2, f, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -51503359\/244 - -211079. Find the common denominator of b and 59\/6.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.4, -5, -2\/375 in decreasing order.\nAnswer: -2\/375, -0.4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in 2\/13, -1, 42\/13, 1\/5?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(n) = 24*n**2 + 32*n + 149. What is the hundreds digit of f(-15)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 118? (a) -1\/6 (b) 0.4 (c) 11\/361 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 204 and 1237.797?\nAnswer: 252510.588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0.2061? (a) 1\/6 (b) -9 (c) -3 (d) 3 (e) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q**1\/q)**(-2\/17)\/(q**(-2))**5*(q**(-2\/29)\/((q*(q\/(q*q**(4\/9)))\/q*q*q)\/q*q))\/((q\/(q\/(q*q**(2\/3)\/q*q*q)))\/q*q)**(-3\/26) assuming q is positive.\nAnswer: q**(29462\/3393)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1 + (4 + sqrt(468) + 1 + sqrt(468))**2 + -4 - ((1 + sqrt(468))**2 + 5 + ((-3*sqrt(468) - sqrt(468))**2 + sqrt(468) + sqrt(468))*-5))*4.\nAnswer: 672*sqrt(13) + 155432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) be the second derivative of b**4\/12 + 5*b**3\/2 + 9*b**2\/2 - 2*b. Let r be q(-13). Let g = -10 - r. What is the units digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*i + 42 = -0 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -85690 or -342757\/4?\nAnswer: -85690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 75194 and 310616.\nAnswer: 284834872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*w - 78*w + 5481 = 58*w + 54*w for w.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-158976)\/2688 - 759\/(-11)?\nAnswer: 69\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-3)\/(9\/(-15)) + -3. Suppose 0 = 3*i - 2*i - x. Solve -4 = 6*k - i*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 149\/1980 and 19\/6600.\nAnswer: 19800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-11)\/22)\/(1\/2). Let j be (-5 - -5)\/(d + 2). Suppose 5*i + j*i - 3*t - 731 = 0, 4*i - 586 = 3*t. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = n**2 - 15*n + 65. Let y be j(6). Solve 0 = y*c + 16 + 6 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -45*(-7)\/(105\/230). Let n = f - 194. What is the tens digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 47 + -27. Let h = d - 18. What are the prime factors of ((-28)\/5 - h)*-5?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 7475.825 litres?\nAnswer: 7475825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let n = -0.15 + -6.85. Let h = n + 7.1. Let i = -3.014 - -0.014. Which is the closest to h? (a) 3\/5 (b) 0.3 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify q**(-23)\/q**33 assuming q is positive.\nAnswer: q**(-56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Are -1886856 and -1886824 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand (-72*p - 11 + 5 + 8)*(38 - 7 + 9).\nAnswer: -2880*p + 80","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -290.53 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ssjs when four letters picked without replacement from sssjssss?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert -5b (base 15) to base 6.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t(x) = -x**3 + 6*x**2 - 4*x + 7. Let o be t(5). Let k be (-1)\/(0 + (-3)\/o). What is the units digit of -3*k\/30*-15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = -0.043 + 274.043. Let u = 276 - d. What is the fourth smallest value in -5, 1\/6, 10\/7, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: -30405 divided by -2027\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 48, -4922, -5 in descending order.\nAnswer: 48, -5, -4922","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-2)\/(-5) - ((-1016)\/(-40) + -10). Is h smaller than -198\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(n) = n**2 + 7*n + 4. Let u be c(-7). Suppose 0 = -5*h - 4*z + 77, -3*h + z + 59 = -3*z. Solve h = -u*g + 4*w - 3, -5*g - 16 = 4*w for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -536 - -527.21. Round t to 1 dp.\nAnswer: -8.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100011110000111000110 - -10010?\nAnswer: 100011110000111011000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 12*c**2*j**4 - c**2*o + 3*c*j**4*o + 3*c*j*o + 23*o wrt j?\nAnswer: 144*c**2*j**2 + 36*c*j**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*x + 111 = 6. Let u be (6\/(-10))\/(x\/70). Let c(g) = 2*g**2 + g - 6. Let b(t) = 3*t**2 + t - 11. Let k(l) = -3*b(l) + 5*c(l). Calculate k(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 80984 + -45738. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -80 (b) -0.04 (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 10316311 to the power of 1\/3, to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.1205 and -4.\nAnswer: -0.482","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 217207644 - 217207644 + k**2.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 133 + 1442002?\nAnswer: 1442135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = 5*x**2 - 104*x - 36. Calculate a(21).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1232225 is divided by 1142?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 25933539?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Determine n so that -25*n**3\/2 - 35*n**2\/2 + 12*n + 18 = 0.\nAnswer: -6\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be 325\/45 - 4\/18. Suppose -i*g + 90 = -4*g. Suppose -8 + g = r. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 48 + -18. Let h = -26 + q. Suppose 2*k - 7 + 25 = -4*i, -4*i - 17 = k. Which is the second smallest value? (a) k (b) h (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 2*z - 2*z - 5*z + 2 as q*z + a and give q.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = -41*w. Let x(i) = -11*i. Let l(u) = 36*u + 2. Let y(k) = -l(k) - 3*x(k). What is o(y(h))?\nAnswer: 123*h + 82","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 821445, 3285797, 7393073, 13143279, 20536421, 29572505?\nAnswer: 40251537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y**2 - 14*y + 11. Calculate the remainder when r(-5) is divided by 59.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 2220 + 2215 + 2*d - 4424 + d**3 - d**2 in the form a + c*d**2 + o*d + k*d**3 and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {q: 1, g: 1, i: 1, j: 2, l: 1, b: 2}. Give prob of picking 1 b and 3 j.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -w + 2*l = 21, -3*w + 4*l - 354 = -309 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*s = -2*s + 4. Let i be (88\/(-6))\/s + -3. Factor 2\/3*q**2 + i - 4\/3*q.\nAnswer: 2*(q - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 7179.9 plus -775179327?\nAnswer: -775172147.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Add together 51329806.3 and -3129.\nAnswer: 51326677.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor 2\/7*u**4 + 0 - 10\/7*u**2 - 2\/7*u**5 + 6\/7*u**3 + 4\/7*u.\nAnswer: -2*u*(u - 1)**3*(u + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15032 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 59 is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let f(b) = b**3 + 65*b**2 + 247*b + 218. What is f(-61)?\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 18 (base 13) in base 8?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t + 2*m = 89, -t + 131 = 4*t - m. Calculate the least common multiple of 27 and t.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 1110110101101100010001110 - -101?\nAnswer: 1110110101101100010010011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 795241?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10 + 101111000011001100101?\nAnswer: 101111000011001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -31 (base 10) in base 6?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -41.8574 or 0.07?\nAnswer: -41.8574","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + (4*(-3*sqrt(114)*-2 + sqrt(114) + (sqrt(114) - 3*(sqrt(114)*2 + sqrt(114)))))\/(3*(sqrt(486) + (sqrt(486) - 1*sqrt(486)*-4))).\nAnswer: -1 - 2*sqrt(19)\/81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 77 or -2\/77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let z be 6\/4*(-16)\/36. Let u be 2 + -2 + 4\/18. Which is the nearest to u? (a) -3\/5 (b) -4\/5 (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from dbddudbbdddbdb. What is prob of picking 2 d?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in -19, -0.3, 1, -18, 0, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let u = -5652 + 56579\/10. Let l = 991\/22 + -655\/11. Find the common denominator of u and l.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 25 + 1 + 2 + -150 + 142.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*y + 372 = r, 2*r + y + 2*y = 744. What is the hundreds digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 48.04296 centimeters in kilometers?\nAnswer: 0.0004804296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 310215 - 112400?\nAnswer: 153415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + p = 24. Suppose -22 = -5*k - p. Suppose -4*m = -4*y + 12, -2*y - k*m + 50 = 3*y. Solve q + 3 = y for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = 4*k**3 - 5*k**2 - 2*k + 7. Let b(r) = -5*r**3 + 6*r**2 + 2*r - 8. Give 5*b(j) + 6*p(j).\nAnswer: -j**3 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -82 - 9*k - 96 + 198 as j*k + n and give n.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand 0 - r**3 + 0 + 2*r**3 + 0*r**3 - r**3 + r + r**3 - r + 6*r**3 - 3*r**3 - 4*r**3 + (-3 + 4 + 0)*(2*r**3 - 2*r**3 - 2*r**3) - 2*r**3 - r + r.\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o(h) = 45*h - 10 - 90*h + 43*h. Let c be o(-5). Suppose c*x + 154 = 11*x. What is the remainder when 40 is divided by x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.4*13.4\nAnswer: -5.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-559)\/(-5))\/((-48191)\/(-18535))\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 6*z - 57*z**2 + 41*z**2 - 161*z**2 + 151 wrt z?\nAnswer: -354*z + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(w) = -w**2 + 13*w - 11. Let v be l(11). Suppose 7*j = v*j - 8. Suppose j*g = -4*g - 2880. Round g to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(a) = 6*a**2. Let s(x) be the first derivative of 0*x + 2\/3*x**3 + 0*x**2 - 2. Determine s(o(z)).\nAnswer: 72*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 1.94 - 2. Let u = y - 0.06. Round u to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 412\/(-106) + -7 + 11. Let u(n) = -n**3 - 6*n**2 - 6*n - 4. Let a be u(-5). Which is smaller: a or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 j and 2 n when three letters picked without replacement from dataajtjnandandaadda?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(s) = s**2 + 174*s + 3721. Give d(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f = 1109 + -739. Does 10 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 2, 1, 146, 5 in increasing order.\nAnswer: 1, 2, 5, 146","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z = 2*x + 558, -2*z + 277 = -z - 3*x. Suppose -42 = -2*u + z. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 10706*t + 11016*t - 21714*t.\nAnswer: 8*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Express (-7 + 37 + 29)*(-250*w + 0 + 49*w - 203*w + 0) in the form p*w + g and give p.\nAnswer: -23836","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 91?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1\/8 in -53, 0.5, -1.7?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -3255586591 - -5.\nAnswer: -3255586586","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 3535 and 359675645.\nAnswer: 3535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57195 is divided by 2492.\nAnswer: 2371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -4*u**2 + 58. Let o(r) = -6*r. Determine o(y(c)).\nAnswer: 24*c**2 - 348","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4.65 + 0.35. What is the second smallest value in y, 0.5, -0.03?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/5 of a centimeter in millimeters?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:03 PM and 9:04 PM?\nAnswer: 181","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 - x**2 + 19\/3*x = 0. Calculate x.\nAnswer: 1\/3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*(0 + sqrt(567) + 0 + sqrt(567))*-6)**2.\nAnswer: 2041200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 419 (b) 1 (c) -4\/9 (d) -4 (e) 2\/5 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let q = -5 + 7. Suppose 28 = 4*m + 5*g, -2*m - q*g = 3*g - 24. Solve 5*n - 14 = m*l, -5*n = -4*l + l - 16 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 32\/(-40)*(-10)\/4. Solve -5*x - 27 = j*t, x + 4 = -0*x + t for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v - 32 - 4 = 0. Suppose 44 = i - 364*g + 360*g, 2*g = -12. Solve 13*j = v*j + i for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -684, 0.1, -0.3, -2\/3 in increasing order.\nAnswer: -684, -2\/3, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let d = -60 - -39. Let k = d - -21.0154. What is k rounded to 3 decimal places?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((l**6*l*l**(-2\/3)*l*l)\/((l**(3\/2)\/l)\/l**2))**(2\/73))**(6\/5) assuming l is positive.\nAnswer: l**(118\/365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*s = 5*f, 60*s = -4*f + 64*s + 12. Let j be (f\/(-14))\/(35\/1225). Calculate the highest common divisor of j and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(q) be the second derivative of 0*q**2 + 0*q**4 - 6*q + 4\/9*q**3 - 1\/45*q**6 - 1\/10*q**5 + 0. Suppose u(k) = 0. Calculate k.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.7, -5\/8, -63 in increasing order.\nAnswer: -63, -5\/8, 0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 3*m - 3*m - m + 0*m + m + 0*m + (-m + 4*m - 2*m)*(2 - 4 + 3))*(2*m**3 - 2*m**3 - 7*m**3).\nAnswer: -7*m**4 - 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 48*j + 12. List the prime factors of k(6).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (-165)\/(-4) - (-1)\/(-4). Let y be -7*(-4)\/8*84\/49. Suppose -y*f - 11 + w = 0. Calculate the remainder when 6 is divided by f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 5 and 89912?\nAnswer: 89907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) = -6*g - 153. Let k(q) = -q**2 - 5*q + 13. Let z be k(5). What is the units digit of b(z)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 8787 - 6200. Is 51 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -6*(-2*sqrt(425) + sqrt(425) + sqrt(425) + 5 + sqrt(425) + 1 + -4*sqrt(612))**2.\nAnswer: -37038 + 1368*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s = -0.602 - 331.238. Let v = 332 + s. Is -9 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 6*(-8 + 10 + 0) - 28\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 24*m**2. Let c(h) be the second derivative of 2*h**3\/3 + h**2\/2 - 7*h - 9. Give c(p(n)).\nAnswer: 96*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 0.04, 4\/3, 1?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4089464?\nAnswer: 2, 29, 17627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(l) = l**2 + 8*l + 3. Suppose 3*o + 12 = 9*o. Suppose -5*m = 20, -4*c - o*m = -0*c + 36. Give a(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add -7 and -24823.\nAnswer: -24830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 17*r - r - 10*r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y = 386 + -665. Let o = 278.99809 + y. Round o to four decimal places.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 30 and 192.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Express 153 + 170 - 227 + 4*n**2 + 586 - n + 2*n in the form y + u*n + p*n**2 and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 456 minutes after 7:40 AM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: 22261 (base 7) to base 5\nAnswer: 140004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) be the third derivative of -b**6\/360 - b**4\/8 + 3*b**2. Let t(a) be the second derivative of m(a). Let v(i) = 3*i. Calculate t(v(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 3*a**3 + 146*a**2 - 1419*a + 309. What is w(-57)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round -117.01292613 to 3 dps.\nAnswer: -117.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 150 and 435945.\nAnswer: 4359450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve -m = -5*s + 19, 3*m + 21 = 3*s - 0*s for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*sqrt(78)*6 - sqrt(78))\/((sqrt(96)*5 - sqrt(96)) + sqrt(6)) + -4.\nAnswer: -4 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 77 - 77 - 2*t**3 + 3*t**2 - 4*t to the form m*t**2 + p*t**3 + k*t + h and give k.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2\/(3\/27*6) - -63?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1454 (base 10) in base 12?\nAnswer: -a12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 17 + (12 - 15) - (4 - (-1 + 3))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b = -0.1 - -60.1. Let u = 60.4 - b. Sort -2\/11, -0.5, u, -0.2 in descending order.\nAnswer: u, -2\/11, -0.2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:19 PM and 8:19 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*x + 9*x - 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 73 + -159. Let g = 950.4 + -1036.39824. Let z = g - t. What is z rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = m**3 - 2*m**2 - 49*m - 1. Let q be y(-6). Solve -w - 2*x - 11 = -4*w, 0 = -w + 5*x - q for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2.18 - -2.297. Let y = h + -0.077. Which is the closest to 2? (a) -0.5 (b) 0.2 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7 + 18376*t + 6 - 37050*t + 19271*t + 1.\nAnswer: 597*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Is 81 a factor of 324?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*j - 25 - 35 = b, -3*b = 9. Suppose -7 = 3*g - j. Solve g = 4*f - 5*l - 7, 0 = f + l - 5 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence aaa when three letters picked without replacement from jatoaawaooaa?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: -33160880 divided by 170\nAnswer: -195064","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6639 or -2581?\nAnswer: -6639","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 45 - 91 + 3*z + 46.\nAnswer: 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 7545 is divided by 286?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is next in -665839, -1331678, -1997519, -2663362, -3329207, -3995054, -4660903?\nAnswer: -5326754","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is (-49)\/((-26117)\/(-82))*7*-13?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 3\/(-18)*410202\/8765\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = 713 + -709. Solve -8 = 3*r + m*q, -5*r = 2*q + 3*q + 15 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -6577\/5662 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d = 482337 - 142337. Round d to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*x + 4*t = 28, 3*t = 2*x + x - 60. Suppose 2*f - v - 21 = 0, -3 = -f - v + 3*v. Suppose 19 + f = b. What is the remainder when b is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 0.9657 + -0.8657. Which is the fourth biggest value? (a) o (b) -0.5 (c) 1 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 366 times 0.06?\nAnswer: 21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 1b39 - 3bb2?\nAnswer: -2078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k(s) = 5 - 6 + 4. Let a(t) = t**2 - 1. Let u(w) = 3*a(w) + k(w). Let x(l) be the second derivative of l**4\/6 - 2*l. What is u(x(i))?\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((n\/(n*(((n**(-2\/19)*n)\/n)\/n*n*n*n)\/n))\/n)\/n)\/n)\/(n**(14\/9)\/n)*(n**(1\/6)*n*n*n*n)\/n**(2\/11) assuming n is positive.\nAnswer: n**(-1751\/3762)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j = 23 - 17. Suppose 12 = 9*h - j*h. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 divided by -70177.\nAnswer: 2\/70177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16563 is divided by 737.\nAnswer: 349","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1425747, -1425750, -1425753, -1425756, -1425759?\nAnswer: -1425762","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let t = -81 - 267. Let b = t + 348.00000183. What is b rounded to seven dps?\nAnswer: 0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 33385468.\nAnswer: 2, 8346367","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*u**2 + 3*u**2 - 54468*u**3 - 81953*u**3.\nAnswer: -136421*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 177183240.\nAnswer: 2, 3, 5, 13, 53, 2143","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4 - 8 = 2*i - x, 3*i + 5*x - 20 = 0. Suppose i*d + 54 = 3*d. Is d a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -8.0368 + 262.9128. Let n = u - 248. Round n to zero decimal places.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) be the third derivative of 0*k**5 - 2*k**2 - 1\/168*k**8 + 1\/24*k**4 + 0*k**7 + 0*k + 0 + 0*k**6 + 0*k**3. Find the second derivative of j(m) wrt m.\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.06 + 0.44. Let i = u + 5.5. Let s be (2\/24)\/((-4)\/(-8)). Which is the smallest value? (a) s (b) 1\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (1 - (-14)\/2)\/1. Let v be (-58)\/(-18) - (-10)\/(-45). Suppose -f - p = -v*f. Solve f*k + 21 = 1 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 710 = 3*u, -2*u = 3*s - 6*u - 455. Suppose -s = 2*w - 9. Let x = -14 - w. Does 27 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 26\/(40\/6 - 24\/(-6)) and 43\/240.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q = 3*z - 15, -2*q + 6*q = 3*z - 15. Suppose q = 3*d + 1457983 - 21257983. Round d to the nearest one million.\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify n**(-2)*n**(-4)*(n**0*n)\/((n\/n**(-2\/13))\/n*n) assuming n is positive.\nAnswer: n**(-80\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is -23898837 at most -23898838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of (2097 + 0 + 16 + 42\/(-6))*29?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -217661 (base 8) to base 9.\nAnswer: -122022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {j: 8, e: 7, q: 3}. Give prob of picking 1 q and 2 e.\nAnswer: 21\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 k, 1 l, and 1 i when four letters picked without replacement from iltklwciw?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v = -3*i + 15, i - 15 = 4*v - 2*i. Suppose -p - 3 - 1 = v. Is 17 a factor of (-2832)\/(-60) - p\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -9 in -10780, -1, -0.0168?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-73)\/(-7) - 9*6\/126. Solve 7*b + 6 = v*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13 = -3*x - 4*m, -2*m - 5 = -4*x + 7. Calculate the remainder when 3 is divided by x.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 179601?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1020 + -21100?\nAnswer: -20010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Find r such that 4*r**5\/11 + 446*r**4\/11 + 12310*r**3\/11 - 7396*r**2\/11 - 31808*r\/11 - 12544\/11 = 0.\nAnswer: -56, -1, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 348671, 1394678, 3138021, 5578700, 8716715, 12552066, 17084753?\nAnswer: 22314776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.1 (b) -4.159 (c) 4 (d) -2\/3 (e) -0.17\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 1 i when two letters picked without replacement from {y: 4, i: 3, z: 8, l: 1, n: 1}?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -1771, -3586, -5335, -6988, -8515, -9886, -11071?\n\"Answer: 5*c**3 + 3*c**2 - 1859*c + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -118a154 (base 12) to base 7\nAnswer: -41024401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -48.42 in -2\/9, 2, -5, -2\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve -14*r = -19*r - 3*m - 1, -2*r = 4*m + 6 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2 + 1. Let s = 64.008 - 64. Let n = s - 0.208. What is the nearest to n in -2, -1\/7, u?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -10615 + 22598. Calculate the remainder when c is divided by 107.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many kilometers are there in 20.27063 meters?\nAnswer: 0.02027063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2369 + -929. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y = 5*g + 102, -2*g + 6*g + 90 = -y. Let h be 18\/4 - (-11)\/g. Solve -h*a - 16 = 4*u, -4*a - 19 = 3*u - 4 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((0 - 6 + 4)*(40 - 40 - 59*h**3) - 13*h**3 + 22*h**3 + 10*h**3)*(-2*h - 5*h + 6*h) to c*h**3 + y*h**4 + g + v*h + a*h**2 and give y.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u = -0.7983 + -0.0017. Which is the smallest value? (a) -0.07 (b) u (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(s) = 4*s**2. Let z(b) be the second derivative of -328*b**3\/3 - 1822*b. Determine z(y(x)).\nAnswer: -2624*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q(w) = 105*w**2 + 15*w + 15. Let b(g) = -31*g + 15*g - 4*g**2 + 14*g - 11*g**2 - 2. Determine 30*b(t) + 4*q(t).\nAnswer: -30*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes after 3:21 PM?\nAnswer: 6:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 103 a factor of (-80 - 20035)*6\/(-6)*(-4)\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -40.3 - -44.3. Which is the closest to 11? (a) q (b) -1.9 (c) -0.1 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(c) = -3*c - 13. Calculate a(7).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n be (102\/(-24) - (-1)\/4) + 2. Let m be 7\/((-14)\/n) + 3. Put -10, -3, m in descending order.\nAnswer: m, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*h + 3*h + 39 = 0, 0 = -3*t + 4*h + 155 - 112 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 5*d + 55, 5*d - 9 + 36 = o. Which is bigger: 25 or o?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -106, -412, -916, -1612, -2494, -3556, -4792, -6196?\n\"Answer: c**3 - 105*c**2 + 2*c - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4025 + -4012. Solve -l - 5*j - 7 = 0, 3*l - 8*j + 1 = -s*j for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put together 1448339.041029 and 5.\nAnswer: 1448344.041029","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16 = 3*f + 1. Suppose -6 = -l - 5*c, -2*l - 4*c = -l - f. What is the highest common divisor of l and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 7) to base 6\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ddw when three letters picked without replacement from gdwwdwwdddwzhdd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve 24*l = 1935 - 2391 for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*m = -57 + 33. Factor -31 + 6*w + m*w**2 + 14 + 17 + 3*w**3 - 3*w.\nAnswer: 3*w*(w + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 42 take away 0.055?\nAnswer: 41.945","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 82457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(w) = w. Let x(p) = p**3 + 9*p + 3. Determine -4*d(z) + x(z).\nAnswer: z**3 + 5*z + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 3, o: 4, t: 4, d: 9}. What is prob of sequence uu?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) = -5*c**2 - 8*c + 9. Let o(q) = q**2 + 2*q - 2. Let v = -7 + 11. Let d(g) = v*r(g) + 18*o(g). Find the second derivative of d(p) wrt p.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -8, -2\/15, -2\/349, -0.3?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-11564)\/4410)\/(-59))\/((-33)\/27)?\nAnswer: -2\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is -1635149 equal to -1635163?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 52559 and 13858.\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j = -0.07 + -0.93. Which is smaller: j or -0.1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(117)\/(sqrt(72)\/sqrt(8)) - sqrt(143)\/sqrt(539))*4.\nAnswer: 24*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2*c**4 - 80*c**2 + 863?\nAnswer: 8*c**3 - 160*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from zkaaqkaqza. What is prob of sequence kqzz?\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -519*s**2 + 4688*s + 7. Determine u(9).\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 3*g - 8 = 0, -2*g - 7 = 3*i - 6*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: -63145454 (base 7) to base 15\nAnswer: -7020cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*i - 21 = 3*s, 23*s - i = 24*s + 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: (81\/3132)\/((-249)\/1328)\nAnswer: -4\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 17109 = -2*j + 4*h, h = 3. Do j and -17097 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:03 PM and 9:41 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/11 + 184\/44. Solve 0*s - 2*s + 2*l = 2, 5*s - u*l = -5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-45)\/210)\/((-21)\/56).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = -r**2 - 2*r + 11. Let p be q(-5). Let v be 4 - p\/(1 + -5). Suppose -i = v*i - 12. Which is smaller: 4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) = -q**2 - 7*q - 6. Let p be d(-6). Let t(x) be the first derivative of 0*x + 2 - 1\/16*x**4 + p*x**3 + 1\/8*x**2. Factor t(i).\nAnswer: -i*(i - 1)*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*f - 3*f - 100. List the prime factors of f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 16 and 472.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let s = 3601 - 3581. Solve 30*c - 25*c = s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 13 + -27. Let y = -4765 - -4750. Which is bigger: m or y?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 13210 (base 4) to base 9.\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -15268*h - 15760*h + 12274*h.\nAnswer: -18754*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w = 86 - 58. Solve 4*g = s + 4, 0*g - 5*s + w = 4*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = 223*g. Suppose 4*s = 2*p + 10 + 6, 0 = -4*s - 2*p + 32. Let k(i) = s*i**2 + 6*i**2 - 7*i**2 - 6*i**2. Give k(f(w)).\nAnswer: -49729*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve -13*w + 9*w + 2*a - 10 = 0, -w - 1 = -2*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let o be (4 + (-15)\/12)*4. Suppose -o*j = -2*j - 270. Suppose 3110 = -j*n + 35*n. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 314823 rounded to the nearest 10000?\nAnswer: 310000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12 and 89716472.\nAnswer: 269149416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*b = 3*j - 22, -5*j + 2*b + 0*b + 16 = 0. Solve -2*k - 2*l = j - 0, -7 = 2*k + l for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 34 + -34 + 10 - -29.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m = -1 - -16. Calculate the remainder when 29 is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*g - 430 = -5*r, -3*r + 67 = -2*r + 3*g. Let j = -94 + r. What is the remainder when 20*(-18)\/j - (0 - -1) is divided by 13?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 126 = -w + 149. Let z(f) = 2*f**3 - 7*f**2 + 6*f + 5. Let p be z(6). Suppose -3*y - 26 = -p. What is the remainder when y is divided by w?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -27 = m + 5*w, 5*m - 4*w = -98 + 108 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -9.2759 times 0.1?\nAnswer: -0.92759","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let f = -364 - -362. Let b = -0.41 - -0.01. What is the smallest value in -1\/9, b, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(612) + sqrt(612) + 0 - -4*sqrt(68)\/sqrt(4)*-4) + -2 + 4.\nAnswer: -4*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1361, 1398, 1459, 1544, 1653?\nAnswer: 1786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2 and -22.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = -o**3 + 4*o**2 - 3*o. Let k be j(3). Solve k*h - 5*h = -10 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 1041 - 1027. Let k be l\/(0 + 2) - (-2197)\/169. What is w in 0*w + 0 - 30*w**3 - 45*w**4 - 25\/2*w**5 + k*w**2 = 0?\nAnswer: -2, 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/8 - (-11)\/2. Suppose -2*o = -p*o + 812. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 5 - -d2b95?\nAnswer: d2b9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence az when two letters picked without replacement from {z: 2, a: 5, o: 5}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 259788 is divided by 206?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence cu when two letters picked without replacement from cquhuhuuu?\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -115276 - 318?\nAnswer: -115605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 2\/5 or -596?\nAnswer: -596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 221 a factor of 23868?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) be the third derivative of -r**6\/30 + 7*r**5\/60 + 10*r**2. Find the third derivative of k(g) wrt g.\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -4 - 60?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-5*j + 2*j + j)*(0*j**3 - 3*j**3 + 2*j**3) + 2*j**2 + 71*j + 52*j**4 - 71*j)*(-4*j + j + 0*j)*(-5 - 1 + 2).\nAnswer: 648*j**5 + 24*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify y\/((y\/(y\/(y\/y**(1\/13))))\/y)*y**2*y*y*y assuming y is positive.\nAnswer: y**(79\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round -8.37022 to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = 4*j - 1. Let p = 23 + -7. Suppose 2*u = 41 - 11. Let b = u - p. Let s(t) = t. Give b*g(r) + 2*s(r).\nAnswer: -2*r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 54346 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sc when two letters picked without replacement from ccs?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2507 is divided by 1168?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 410 minutes before 7:17 PM?\nAnswer: 12:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = -35\/6 - -19\/3. Which is the closest to -2\/3? (a) u (b) -3 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 420 - 928. Let z = q - -849. Which is smaller: 0.1 or z?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -0.91 + 0.51. What is the nearest to 3\/10 in 0.4, 2\/3, q?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {p: 2, n: 17}. What is prob of picking 2 p?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Round 1.319 to 1 decimal place.\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 4*n = -12, -2*p + 5*p + 4*n + 12 = 0. Which is the closest to -1\/2? (a) p (b) 0.3 (c) 3\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.1, 18, -60, 34 in decreasing order.\nAnswer: 34, 18, -0.1, -60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 513002*f - 1026000. Give b(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) 23.2 (c) -213.28 (d) -2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 888 is divided by 287?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the third derivative of 19*r**6\/20 + r**5\/60 - 1931*r**4\/24 - 2031*r**2. What is the second derivative of n(b) wrt b?\nAnswer: 684*b + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 4666, 11211, 17756, 24301, 30846, 37391?\n\"Answer: 6545*v - 1879","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + 4 + 0 + -11 + 2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Subtract 86.16 from -95.1.\nAnswer: -181.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n = -14.1 - -13. Let u = 0.1 + n. What is the nearest to -2\/9 in -2\/9, -1\/9, u?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 795598, 1591132, 2386666, 3182200, 3977734, 4773268?\nAnswer: 5568802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence rjrg when four letters picked without replacement from rjjggrgjhgr?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -15 (base 7) in base 2?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 199793*o**4 - 110*o**3 - 30554540*o?\nAnswer: 2397516*o**2 - 660*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let k be 27\/(-45) + 1 - (-76)\/10. Let i(r) = 76*r**2 + r - 11. Is i(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in u**2 - 1 - u**2 + 7913*u**3 - 7934*u**3 - 58*u.\nAnswer: -21*u**3 - 58*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Subtract 1634249651 from -0.4.\nAnswer: -1634249651.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -3744618 - 186?\nAnswer: -3744815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 29974972133 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = -y**2 - 5*y - 2. Let z = 16 - 19. Calculate b(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3306305 + 5?\nAnswer: -3306300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -1102 - -1?\nAnswer: -1101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 56 + 34*p - 73*p - 420*p.\nAnswer: -459*p + 56","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) be the first derivative of d**3\/3 - 10*d**2 + 2*d - 16. Let l be s(20). Calculate the highest common divisor of l and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 694432.\nAnswer: 2, 21701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s + 0*s - 20 = 0. Let r be 534\/15 - 2\/s. Calculate the highest common divisor of 24 and r.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 3*r = -3, -7*y + 41*r = 43*r - 2 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 165 minutes after 9:24 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Express (7*f**2 + 10*f**2 + 4*f**2)*(1 + 1 - 1)*(2*f + 0*f + 0*f) as c*f**3 + a*f**2 + h*f + x and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = 14 + -14. Are d and 2\/23 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + 5 + 3 + (0 + sqrt(245))**2 + 1 + ((-1*sqrt(605) - sqrt(605)) + -1)*-6.\nAnswer: 258 + 132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -1cb - 189?\nAnswer: -387","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 1260478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((-5 + t + 5)*(1 - 4 + 5) + 171 - 26*t - 171 + (1 + 1 - 3)*(-2*t + 0*t + 0*t))*(-t + 4*t - 4*t) to the form a*t + g + v*t**2 and give v.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {l: 2, k: 5, s: 5, g: 1, w: 1, j: 5}. Give prob of sequence kkw.\nAnswer: 10\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4 - (2 + -2 + -4)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(p) = -p**2 - 8*p. Let m be u(-7). Solve -5*s = -4*b + 24, -s + 5*b - 2 = m for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4949592?\nAnswer: 2, 3, 206233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -1596 or -923?\nAnswer: -1596","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (9*h - 10*h + 6 - 5)*(119 - 119 - 17*h**2) in the form s*h**2 + p*h**3 + n + u*h and give s.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: -56ab (base 13) to base 2\nAnswer: -10111101101100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -196*j**2 + 196*j**2 + 3357*j**3.\nAnswer: 3357*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2, -1\/136, 0.056?\nAnswer: -1\/136","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 497029 is divided by 230.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 16 and 392?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 5 a factor of 916340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let o(g) = -g - 1. Let p(k) be the first derivative of -2*k**2 - 2*k**2 - 3 - 5*k + 2*k**2. What is 5*o(i) - p(i)?\nAnswer: -i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert 906.1425kg to milligrams.\nAnswer: 906142500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 0 + 4 + 7*y**2 - 3 + 5 as a + f*y**2 + h*y and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let a be 0\/(((-438)\/(-2847))\/((-2)\/(-13))). Factor -5*b**2 + 1\/4*b**3 + a + 25*b.\nAnswer: b*(b - 10)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t be (16\/14)\/((-184)\/(-966)). Solve -2*f + 4*b + t = 0, 3*f = 4*b + 1 + 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 44 minutes after 7:26 AM?\nAnswer: 8:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:28 PM and 6:22 AM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 108456599 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-8 + 5 - 8)*(4*r + 8*r + 31*r)*(-1 + 1 + r)*(-5*r + 4*r - 3*r).\nAnswer: 1892*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m + 18. Let r be l(-7). Find w, given that 2\/7*w**5 - 2\/7*w + 0*w**3 + 0 - 4\/7*w**r + 4\/7*w**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = 106 - 106 - b**2 + 6*b**2. Let z(d) be the third derivative of d**8\/10080 + d**5\/30 - d**2. Let w(a) be the third derivative of z(a). Give n(w(t)).\nAnswer: 20*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from qqqqaqqqqqaaqq. What is prob of picking 1 q and 3 a?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) -2 (b) -3 (c) -0.1 (d) -7\/8 (e) -30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 48776803.\nAnswer: 48776803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g = -4*k - 44, 0 = -4*g + 2*g - 2*k - 38. Let v = g - -20. Let m(r) = -r**3 + 4*r**2 - r + 3. Determine m(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -0.1 - -0.2. Let w = 0 + k. Let x = -3.01 + 0.01. Is x bigger than w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = j**2 + 32*j - 239. Give w(-38).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 4*b - 22 = -9*b, -41 = -5*x - 4*b. Solve -2*a = 4*m - 4*a - 6, 2*m = -5*a + x for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 64, 4, -3, 224 in increasing order.\nAnswer: -3, 4, 64, 224","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + 4. Let z = -121 - -123. Let k(r) = -132*r**2 + 68*r**2 + 67*r**z - 5*r. Let y(p) = -p. Calculate i*y(b) + k(b).\nAnswer: 3*b**2 - b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gaa when three letters picked without replacement from agagaaaaaaaaagagaaa?\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(w) be the second derivative of 3*w**3\/2 - 3*w**2 + 12*w. What is the remainder when 81 is divided by n(3)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 21\/(-1155)*-775 - 15\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18 + 10 = -14*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -124023 - 11?\nAnswer: -124034","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + 3 + (sqrt(1539) - (sqrt(1539) + -1)**2) - (3*2*sqrt(57))\/((sqrt(3) + (sqrt(3) - sqrt(12)\/sqrt(4)))*-6))*-2.\nAnswer: -56*sqrt(19) + 3070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z*z**(-3))\/z**(2\/7)*(z*z**(3\/4))\/z*z\/z**2 assuming z is positive.\nAnswer: z**(-71\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let y(o) = o**3 - 8*o**2 + 7. Let n be 19\/2 + (-195)\/130. Determine y(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -268389 (base 10) to base 8.\nAnswer: -1014145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = -0.035 + 2.935. Let o = v + 1.1. Suppose 2*w = w. What is the closest to w in -0.3, o, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) 0.3 (b) -930 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = -27*o - 9. Calculate the remainder when r(-5) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-5)\/t**(-5))\/((t\/(t*t*t**4))\/t**0) assuming t is positive.\nAnswer: t**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) be the second derivative of -1\/60*x**6 + 21*x + 1\/3*x**4 + 0*x**5 + 0 + 0*x**3 - 4*x**2. Factor z(n).\nAnswer: -(n - 2)**2*(n + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 104322 and 6.\nAnswer: 104322","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 150676 = 8*f + 12620. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**2 + 4*q + 5. Let w be p(-2). Let c(i) = -64*i + 11. Let b be c(w). Is 19 a factor of b\/12 - 3\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in fifty-one halves of a litre?\nAnswer: 25500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s + 2. Let n be h(3). Solve 10 = n*w - 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 179.8 - 179.8. What is the nearest to k in 1, 3\/5, -1\/11, 2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -1068 - -1074. Let q be 6\/(-10)*(-5 - 0). Let f be -1 - -1*27 - (-6 - -5). Solve q*n - o = 0, -5*w - n + f = -0*n for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find l such that l**4\/5 - 76*l**3\/5 - 982*l**2\/5 + 2188*l\/5 - 1131\/5 = 0.\nAnswer: -13, 1, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -26 = -5*m + 4. Calculate the least common multiple of m and (1*3)\/(3\/10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millennia are there in 1.589802 decades?\nAnswer: 0.01589802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = d + 3*d + 96. Let u = -24 - d. What is the nearest to -2\/9 in 3, -1\/10, u?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 207781933?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from lzdddzzdfddddfodl. Give prob of sequence do.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u = -25 + 27. Suppose -u*p - 11 = 7. What is the common denominator of -79\/18 and p\/(-270)*(2\/1)\/(-1)?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 49, -6, -61?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 2*l**2 - 2*l - 1. Let o be h(-1). Suppose -1 = p - o*a, -2*p + a + 8 = 5*a. Let f be ((-4)\/(-8))\/(2\/4). Is p at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 22123463 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 5, e: 2, r: 2}. Give prob of sequence bre.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 236228089 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -37*h**4*k**3 + 139*h**3*k**3 + 36295*h*k - h - 2*k**3 wrt h.\nAnswer: -444*h**2*k**3 + 834*h*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 2\/15 (b) -174 (c) 5 (d) -55 (e) 51\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f = 120 + -72. Calculate the highest common divisor of 8 and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = 2*o**3 + 3*o**2 - 6*o + 4. Let g be i(1). Which is the nearest to -0.1? (a) 0.1 (b) g (c) -1 (d) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a. Let h = -89 + 175. Let d = 91 - h. Let x(b) = -2 + 3 + d*b + 0 + 0. Calculate -4*x(w) + 22*z(w).\nAnswer: 2*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 116 - 78. Does 19 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find u, given that 2*u**2 + 72596*u + 33183210 = 0.\nAnswer: -35835, -463","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 8792 and 6?\nAnswer: 26376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is -979407 minus 0.108?\nAnswer: -979407.108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 4 - (-8 + (-7 - -7) + 27 - 2)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = 21*g**2. Let w be i(1). Let p be w\/(12\/4) + 3. Suppose 0*j + p = 5*j, 8 = h + 4*j. Put 2, -4, h in decreasing order.\nAnswer: 2, h, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 155*k**2 - 309*k**2 + 284*k**2 as c*k + q*k**2 + l and give q.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(o) be the first derivative of 4 - 5\/4*o**2 + 2*o + 1\/6*o**3. Factor t(m).\nAnswer: (m - 4)*(m - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 27 minutes before 1:15 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1324*o + 1334*o = -140. Let h be ((-4)\/o)\/((-1)\/(-63)*6). Let 2\/5 + 2\/15*n**2 - 2\/15*n**h + 2\/3*n = 0. What is n?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 18*m**2. Let i be (4*(-3)\/(-6))\/(-2). What is the least common multiple of 18 and y(i)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = -4*x + 5. Let g(d) = -5*d + 3. Let a(y) = y. Let f(i) = -3*a(i) - g(i). What is -7*f(q) - 4*w(q)?\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-2)\/3)\/(2\/(-6)). Let x(b) = -d*b - 7*b - 5 + b**2 + 4 - 4. Let y(c) = -4*c - 2. What is 2*x(u) - 5*y(u)?\nAnswer: 2*u**2 + 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 93781278?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-4)\/(8\/(-6)) + 9. Suppose 0 = -2*d - 2*r - m + 62, -5*r = d - 9. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (16\/(-24))\/((-4)\/30). Suppose z*o = 5*f - 40, f - 3*o - 21 = -f. Let d be (34\/(-12) + f)*4. Which is smaller: d or 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*1*sqrt(160) + sqrt(160) - sqrt(160))\/(sqrt(64)\/(sqrt(8) + 6*(sqrt(8) + sqrt(40)\/sqrt(5))))*4)**2*-5.\nAnswer: -6760000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 1.1185 rounded to 1 dp?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-10)\/(-25) + (-26)\/(-10). Factor 2*i**4 - 2*i**3 + 5*i**3 - 3*i**3 + 2*i**s.\nAnswer: 2*i**3*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 4*a - 560. Suppose 2*l = -3*l + 4*k + 172, k = -4*l + a. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -0.3 (b) 1\/5 (c) -5\/2 (d) 1.570054\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w = 4*v - 8, 2*w = -5*v + 10 + 9. Let q(y) = y - 7. Let m be q(v). Let p be ((-1)\/2)\/(2\/16). Is p not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 14963.37 to the nearest ten.\nAnswer: 14960","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 503310 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 32012 (base 4) in base 10?\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + (-2 + sqrt(3) + sqrt(3))*-6)*3.\nAnswer: -36*sqrt(3) + 39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i be (10488930\/(-132))\/(16821\/(-6)). Let g = i - 2199\/77. Let w = g - 2\/267. Which is the nearest to 0? (a) w (b) 0.3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2170.\nAnswer: 2, 5, 7, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -6\/169, 37\/10, 9, 0?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -11, 1.8, -2\/5, 4?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 d, and 1 c when three letters picked without replacement from ervdcie.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 8*c. Let j(d) = -60*d**2 + 205261*d - 205261*d. Calculate j(t(r)).\nAnswer: -3840*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-12*35\/(-147))\/(28\/(-686)). Are 50 and t unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 5 + 14*w - 40*w + 5 + w**3 + 47*w**2 - 21*w**2. Let d be v(-27). Let u(o) = 3*o + 26. Let c(r) = -r - 9. Calculate d*c(g) - 6*u(g).\nAnswer: -g - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -2494050 times 5?\nAnswer: -12470250","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5.19 - -0.19. Let n = -140\/3 - -1537\/33. Which is the second smallest value? (a) 5 (b) n (c) -4\/3 (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = a - 5*o + 44, -2*o + 6*o = -2*a - 60. Let l = a + 58. Suppose -26*k = -32*k + l. Let n(i) = -2*i**2 + 7*i - 6. What is n(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 29442\/273 + (-5)\/(130\/(-4)). Calculate the greatest common factor of 12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 202946271 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.049246416 rounded to three dps?\nAnswer: -0.049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 138 divide 1794?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t = -2*h + 10, 36*h = 34*h - 3*t + 10 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(h) = 24*h + 1986. Determine q(-80).\nAnswer: 66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 51662406 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m(b) = b**3 + 12*b**2 + 14*b + 11. What is m(-11)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4\/(-10) - 12\/(-5). Solve 6 = -0*u + p*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -848980 rounded to the nearest 100000?\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -0.84 times 378\nAnswer: -317.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -2\/17 (b) 0.03 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r = -9 + 15. Let x(g) = -8*g - r + 14*g + 13*g. Is x(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -f**3*l**2 + 2*f**3 + 45918*f*l**2 - 32904*f*l + f wrt l.\nAnswer: -2*f**3 + 91836*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let v = -1.68 + 1.84. Which is the smallest value? (a) -0.1 (b) 0.4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 331420 or 331422?\nAnswer: 331420","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) = 11*l - 934. Let z(t) = 8*t - 622. Calculate -5*h(x) + 7*z(x).\nAnswer: x + 316","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 3167\/79 smaller than 40?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*x**2 - 533192*x + 101985596.\nAnswer: -4*(x - 191)*(x + 133489)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 233817240 to the nearest integer?\nAnswer: 15291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = 5*s + 2. Let d(o) = 36*o + 17 - 14*o - 13*o - 14. Determine 3*d(l) - 5*i(l).\nAnswer: 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -s**3 + 10*s - 18*s + 8*s.\nAnswer: -s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-28)\/(-32))\/(-7) - (-9)\/8. Which is the nearest to 0.4? (a) g (b) -0.19 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 20 - 18 - 20 - -37?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-32)\/50512*(-1332)\/72 and -23\/3157.\nAnswer: 3157","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 5) to base 15\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1 or -2\/847?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2388\/21 + -2 - 4\/(-14). What is the highest common divisor of 14 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = -7*o**2 - 845*o - 5044. Give l(-6).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let g = 69 - 72. What is the third smallest value in g, 2\/5, 7, -3\/4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 0*j**2 + 0*j - 5*j - j**2. Suppose -4*y - 4*f + 5715 - 167 = 0, 5*f + 2760 = 2*y. Suppose -1406 = 7*q - y. Determine i(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 115 minutes after 2:57 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Sort -5, 64, 709298.\nAnswer: -5, 64, 709298","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*z + 2*z + 5*x + 27 = 0, -z + 2*x + 9 = 0. Let p be (1*3)\/(z\/9). Suppose -2*i + 0 = -3*r - 11, 2*r - p = -i. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 10 from -12.71.\nAnswer: -22.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0011791081 to seven dps.\nAnswer: 0.0011791","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 17 (base 16) to base 14\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = r - 14, -3*r = -8*a + 3*a - 28. Let s be 1*r\/4*2 + 2. Let n = -0.34 + -0.06. What is the second biggest value in s, -36, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 702605 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let o be (0 + 2)\/(-2)*-7. Suppose -1 + o = 2*f. Suppose -2*l - f*l = -5. Is l not equal to 2\/15?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 239652 and 315.\nAnswer: 1198260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -188436, -188435, -188434?\n\"Answer: a - 188437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(c) = 83073*c + 830703. Give g(-10).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h = 3*c + 405, -c = -2*c - 2*h - 145. Let g = c + 228. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 0.2 and 9.93656?\nAnswer: 1.987312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 3 at least as big as -6484130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((c*c\/((c*c\/(c\/(c*c*c*c\/(c**(2\/5)*c*c))))\/c))**(-5\/7))**(-19))**(-3\/7) assuming c is positive.\nAnswer: c**(-114\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*m + 51 - 39 = -5*i, -3*m = 2*i + 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -6aa694 (base 11) in base 9?\nAnswer: -2106671","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be 2*((-3 - -7) + -3). Let m(c) = 20*c. Suppose -5*g - z - 3*z + 93 = 0, 2*g + 4*z = 30. Calculate the remainder when m(u) is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 14 - 27\/2. Let o(p) be the first derivative of 2 - 2*p + a*p**2 + 1\/4*p**4 + 4\/3*p**3. Determine o(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 284 or 278?\nAnswer: 284","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*u = 3*x + 25, 2*x + 8*u - 3*u = -20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*a**2 + 6*a**2 + 0*a**2 + 13*a**3.\nAnswer: 13*a**3 + 9*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -359*x - 704 - 13670 = -2886 for x.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0175 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1 (base 8) to base 7\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 903 - 1075. Sort -2, 0.4, -1\/7, v.\nAnswer: v, -2, -1\/7, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 4\/3 in 1\/2, 5\/3, 41\/4?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r be 0 + (-202)\/(-5 + 3). Is 102 not equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Express w**3 - w**3 - 3*w**3 + (2*w**2 - 5*w**2 + 2*w**2)*(-4*w + w + 4*w) - 555 - w**2 - 202 + 5*w - 2*w**3 + 1026 as p*w**3 + m + o*w + b*w**2 and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort -50, -3, 190, -20, -4, -9 in increasing order.\nAnswer: -50, -20, -9, -4, -3, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccn when three letters picked without replacement from {n: 15, c: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Multiply -2.2 and 20795.1.\nAnswer: -45749.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q + 0 = -4. Suppose q*i + 7 = -3*f, -4*f - 11 = -i + 11. Let t = i - 1. Is -2\/3 at least t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 144, 195, 266, 345, 420, 479, 510?\n\"Answer: -2*l**3 + 22*l**2 - l + 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -103\/20 and -125\/78?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = z, -2*o - z + 29 = -0*z. Suppose 2*i - 38 = -q + 52, q - 93 = -3*i. Calculate the remainder when q is divided by o.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (n**2 + 3*n**2 - 6*n**2)*(97 + 93*n - 73*n - 24*n).\nAnswer: 8*n**3 - 194*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 34320 - 34320.5. Let l = 1 + -0.9. Which is the fourth smallest value? (a) l (b) -0.3 (c) -3\/7 (d) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.1 and -628.486?\nAnswer: 628.386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w\/w**(-1))**(-11)*(w\/(w**(-1\/2)*w))**(-3\/10) assuming w is positive.\nAnswer: w**(-443\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3 + (sqrt(17) - (sqrt(17) + sqrt(102)\/(sqrt(18)\/sqrt(3))) - -2*(sqrt(17) + 1)).\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 33851 is divided by 4813.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) be the first derivative of 27*x**5\/5 + 3*x**3 - 12. What is the third derivative of v(s) wrt s?\nAnswer: 648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be 128\/320*(-1 - 4). Let s(h) = h + 1. Let c(p) = -3*p - 2. Calculate l*c(t) - 5*s(t).\nAnswer: t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i + 8 = -4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of (-11 - -1)*24\/(-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 s, 1 k, and 1 b when three letters picked without replacement from {r: 1, k: 1, b: 2, j: 1, s: 3, q: 3}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v = 78.1315 + -2.2795. Let u = v - 75. What is u rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (282\/3290)\/(6\/60).\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 13 + (-15 - 5) + 12 + 1.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) be the first derivative of -y**2\/2 - y + 3. Let o(m) = -2*m**2 + 4*m + 2. Let w = -2 + 0. Let j(x) = w*t(x) - o(x). Factor j(s).\nAnswer: 2*s*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:47 PM and 6:11 PM?\nAnswer: 324","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(p) = -13 + 2*p - 6*p + 2*p. Let m be c(-9). Suppose 6*h = 2*h - m*n + 26, 6 = 4*h - 5*n. Solve 4*y + 24 = h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = -2*o - 4*b, -o + 23 = 4*o + b. Solve -o*i = -2*m - 21, -22 = -5*m - 2*i - 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 251407*h**4 + 105*h**3 - h**2 - 69039958*h wrt h.\nAnswer: 3016884*h**2 + 630*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = -46895*c + 695. What are the prime factors of o(-1)?\nAnswer: 2, 5, 4759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-106*u + 14*u**2 + 106*u)*(3*u + 0*u - u)*(-4*u + 6*u - u) as z*u + p*u**4 + w + c*u**3 + o*u**2 and give p.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-117)\/(-162) - 1\/2.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -32 + 223\/7. Let c = 90791 - 90790.5. Sort z, -14, c.\nAnswer: -14, z, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**2 - 25*r + 150. Let t be p(9). Let i be 56*11\/66*t\/4. Calculate the highest common divisor of i and 854.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1765406?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-1 + 0 + 2 + (-2 - 2 + 7)*(-40 + 213 - 4))*(-1 - 5*n + 1)*(-3*n**2 - 2*n**2 + 3*n**2) to c*n**2 + u*n**3 + z*n + j and give u.\nAnswer: 5080","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*z + 8 = 2*q, 12 = 148*q - 145*q - 3*z for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 41, -200, -587, -1120, -1799, -2624?\nAnswer: -3595","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 13 - -8. Suppose -s = -2*s + 40. What is the remainder when s is divided by q?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 128*z**2 - 23534*z - 7084387.\nAnswer: 256*z - 23534","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 6450 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d = 3142 - 2155. Let x = 2514 - d. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.423 + 0.023. What is the closest to 1\/9 in y, 0, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 0.149 + -0.1490135. Round r to five decimal places.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 145 divide 2465?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from oyjfyfyoojbysjjjfy.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(5) + sqrt(405) + -4 + 1)**2 + -1)*-1 + 2.\nAnswer: -506 + 60*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 2*h. Let m(c) = -38*c. Calculate i(m(u)).\nAnswer: -76*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 507103 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:34 AM and 4:17 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 b when three letters picked without replacement from {s: 2, b: 5}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -216*u + 218*u + 3*g + 13 = 0, -3*u + 4*u = -3*g - 14 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: 0.25 * 23\nAnswer: 5.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -604*o - 135*o - 228 - 237 + 465.\nAnswer: -739*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let m(o) = -318*o. Let a(i) = i**2 + 0*i**2 + i**2 + 6*i**2 - 6*i**2. Determine m(a(y)).\nAnswer: -636*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 k and 1 q when three letters picked without replacement from kkgddrgdkgq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -60 divided by -5?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -5, 53.06, 3, -0.1 in increasing order.\nAnswer: -5, -0.1, 1, 3, 53.06","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {n: 5, j: 4, r: 3, t: 3, l: 4}. What is prob of sequence rjll?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = 14 - 9. Let c be (10\/(-2 + 0))\/((-4)\/8). Let y = o + c. What is the remainder when 43 is divided by y?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-13 - 0) + -2 + -19 + 33.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 + (-23 + -24 - -8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y = 731 - 736. Let r(b) = b**3 + 5*b**2 - 4*b - 9. Calculate r(y).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 20584685 and 628540?\nAnswer: 82338740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let b(q) = 23*q + 1. Let f(y) = 70*y + 3. Give -17*b(v) + 6*f(v).\nAnswer: 29*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Do -2\/11115669 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p be 4*(2 - 9\/6). Suppose p*g = -g - 12. Suppose -6 = f + 2*f. Put g, -1, f in descending order.\nAnswer: -1, f, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 110096279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o\/o**(-33)*o)\/(o\/o**(10\/17)) assuming o is positive.\nAnswer: o**(588\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w(c) = -c**3 + 5*c**2 - 6*c + 2. Let d be w(3). Let x(l) = -l**2 + 4 + 7 - d - 8. Determine x(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 212.4751t?\nAnswer: 212475100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = 473 + -475. Put 0.07, -3, o, -4 in increasing order.\nAnswer: -4, -3, o, 0.07","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 335, 313, 277, 221, 139?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = 367.96 + -369. Let z = -1.04 - x. Which is the closest to -2\/7? (a) -3 (b) z (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -3*(-3)\/(-3)*1. Let o(p) = -91*p - 2. Let s be o(f). Let a = s + -164. List the prime factors of a.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of 8759708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 k and 3 s when four letters picked without replacement from {s: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is -93\/49882 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3*(12750\/(-50))\/(-51).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 705059053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let w be (3\/5)\/(4\/580). Let f = 87 - w. Solve u + 4*i = -20, -u - 2*i + 3*i = f for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -22 + 14 - (0 - 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let t = -51 + 120. Suppose -73*k = -t*k - 468. Let d = -65 + k. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - 9*k - 81. Determine n(-6).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a + 42 = -5*m, 5*a - 4*a + 19 = -2*m. Let h(v) = 1. Let z(d) = -d**2 - 8*d + 8. Let y(s) = 3*h(s) + z(s). Let k be y(m). Solve 4*q + k = -2 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 976351?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1? (a) 1 (b) 5 (c) -0.021\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.03 in -4, 0.4, -6, 0.5, -203?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5 + 12\/4)\/((-6)\/(-9)). What is the tens digit of h + 8 - (-25 + 10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 631 minutes before 10:58 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 7148*d + 567*d - 354890 = 0 for d.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -1 + 7 - 11 - (-6 - 2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*(24\/8)\/(3\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 0.3, -2\/7, -1\/43, 0.4 in descending order.\nAnswer: 0.4, 0.3, -1\/43, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**5 + 3*r**5 - 6*r**5 + (-r**2 + 1 - 1)*(484*r**3 - 155*r**3 + 607*r**3).\nAnswer: -937*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -315*l + 315*l + l**4 - 458*l**5 - 2*l**3 - 3264*l**2 + 447*l**5 wrt l.\nAnswer: -660*l**2 + 24*l - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 340231 (base 6) to base 4\nAnswer: 12332323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 - 2 + 3)*(3467*s**2 + 1 + 3283*s**2 - 6391*s**2).\nAnswer: -718*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 289 is divided by 49?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) -4\/5 (c) 0.3 (d) 1\/65 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 1835 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 430 minutes before 5:10 PM?\nAnswer: 10:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 1441, 1524, 1667, 1870, 2133?\nAnswer: 2456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1*((-3 + sqrt(125) + -1*sqrt(125))**2 + sqrt(125) + 3 + -1).\nAnswer: -5*sqrt(5) - 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*n = 4*n + 8. Let m = -2 - n. Calculate the remainder when 2 is divided by m.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*((sqrt(891) - (sqrt(891) + sqrt(891)*5)) + 0))**2*-6.\nAnswer: -1202850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put 1\/254, -3\/14, 2 in descending order.\nAnswer: 2, 1\/254, -3\/14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*f = -12*t - 18, 11*f + 6 = 13*f + 2*t for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 9 + (-7 - 1 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 717 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -52463, -52011, -50789, -48413, -44499, -38663, -30521, -19689?\nAnswer: -5783","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the second derivative of 11*s**5\/4 + 115*s**3\/3 - 67*s. Find the second derivative of b(t) wrt t.\nAnswer: 330*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -151*d**3 + d**2 + 369*d?\nAnswer: -906","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Put 1645, 6, -9, 9, 1, -3, 3 in decreasing order.\nAnswer: 1645, 9, 6, 3, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = 4*b - 16, -b + 4 = -7*t + 11*t. Let o be (-5)\/2*(-8)\/(-10) + b. Suppose -f + 0 = -2. What is the greatest common factor of o and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 4 * -66.\nAnswer: -264","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 8.456829 litres?\nAnswer: 8456.829","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w = -9*w + 20. Sort 2, 1, w.\nAnswer: 1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 + 169*j**2 - 164*j + 1347. Determine m(-170).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((u**(1\/18)\/(u**7*u))\/(u**(-3))**(-13\/4))**(-25) assuming u is positive.\nAnswer: u**(15925\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the second derivative of 0*l**3 + 1\/18*l**4 + 0 - 1\/3*l**2 + l. Let h(f) = 0. Calculate f.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 1033 divide 287170901?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let p(d) = -d**2 + 24*d - 36. What is p(15)?\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(57)\/(sqrt(3)*-2))**2 + 3*(1 + sqrt(19)).\nAnswer: 31\/4 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -23*p + 20*p - 5*c + 25, -5 = 5*p - c. Suppose 2*v - 10 = -u + 1, 0 = 5*u + 3*v - 27. What is the second biggest value in p, 1\/14, u?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 19 - 20.9. Let k = y - 1.1. Let l = k - -2.7. What is the smallest value in -5, l, 1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -14 + 6 + (10 - -2) - 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 549110041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:50 AM and 7:43 AM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s be (6 - 8) + 3*1. Let m be (s - -2) + 41\/1. Let d = -26 + m. Is d a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(x) = x**3 - 3*x**2 - 2*x - 3. Let h = 4 - 6. Let l = 2 - h. Suppose l*a = a - 6. Let s(z) = -2*z**2 - z - 2. Calculate a*v(i) + 3*s(i).\nAnswer: -2*i**3 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:39 PM and 9:31 PM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -2*h**2 - h - 4. Let m be u(0). Let r be m + 20 - (-3)\/3. Suppose -8*f + r = 1. Solve 2*o - 2*i = -3*o - 21, 2*o - 4*i = -f for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 795491371.\nAnswer: 795491371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 576 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 43771660 to the nearest integer?\nAnswer: 6616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let o = -268 - -267.99999513. What is o rounded to 6 decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19*v = -0 - 0. Let s = v + 3. Find the first derivative of 13 - 23*t**4 - 24*t**4 + s wrt t.\nAnswer: -188*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(s) = s - 4. Let u be 5\/2*(0 - -2). Let o(t) = -373*t + 260*t + 10 + 255*t - 144*t. Give u*o(c) + 12*l(c).\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ob when two letters picked without replacement from {b: 3, o: 3, k: 12, e: 2}?\nAnswer: 9\/380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 9733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 66862 is divided by 170?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 8106 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Put 0, -10566, -0.5, -14, -1 in ascending order.\nAnswer: -10566, -14, -1, -0.5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(m) be the first derivative of -m**4\/4 + 3*m**3 - 7*m**2\/2 - 3*m - 4. Let o be h(8). Suppose -f = -j, -3*j = 2*j + o. Put -1\/5, f, 1\/5 in decreasing order.\nAnswer: 1\/5, -1\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(4\/(-6)) - 1. Suppose 60 = k*s - 2*q, q + 0 + 1 = 0. What is the units digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 18 + 18. What is the common denominator of 62\/((-35)\/(-15) + -1) and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(h) = -h**2 - h - 26. Calculate b(-7).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 63445155 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(b) = 2924*b**2 - 1. Let u be y(-1). Suppose 4*n - 2919 = -5*z, -5*z = -0*z + 3*n - u. Let q = 1056 - z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*x = 3*x + 12 - 6 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*i + 0 - 5 = 0. Solve -o + 2 = 5*x, x = -2*o + 3 + i for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -53 in -0.1, -81, -5, 7?\nAnswer: -81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 1, l: 2, w: 1, c: 2}. Give prob of picking 1 l, 1 c, and 1 z.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1085149 is divided by 8752.\nAnswer: 8653","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 + 6*q - 9. What is w(6)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 1005?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 48906 divided by 2970\nAnswer: 247\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be (30\/9)\/((-17)\/(-204)). Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (8\/(-110))\/((-4)\/(-10)). Let u(o) = 3*o**2 + 5*o + 4. Let g be u(-4). Let k be (0 + -2)*(-6)\/g. Put j, 0.4, k in decreasing order.\nAnswer: 0.4, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.2*-2706.\nAnswer: -541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(7) + 0 + -5 - (sqrt(567)*1 + sqrt(567)))**2.\nAnswer: 170*sqrt(7) + 2048","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*z + 5*i = 10*i - 72, 2*i - 96 = -4*z. What is the smallest common multiple of 15 and ((-27)\/z)\/((-12)\/(-16))*-6?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 80697439 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -83\/16852077 and -107\/2484?\nAnswer: 67408308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 - ((-8 - -4) + 1 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = -3*h**3 - 7*h**2 - 1 - 5*h - 4 + 4*h**3 + 2. Let y = 15 - 7. Let k be v(y). What is the highest common factor of k and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 373 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Does 290 divide 316862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = -2*o**3 - 19*o**2 - 10*o + 11. Let y(x) = -2*x**3 - 20*x**2 - 10*x + 11. Let d(f) = -3*u(f) + 4*y(f). Let n be d(-11). Does n = 1\/61?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7751 is divided by 136.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a = 37935 - 37935.5. What is the fourth biggest value in -5, a, 1, 4\/5, 49?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be ((-220)\/25)\/(38\/(-285)). Suppose -a*w = -60*w + 18. Let x(b) = b**3 - 5*b**2 - 3*b - 5. Let o be x(5). Sort w, 3, o in increasing order.\nAnswer: o, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6 bigger than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:46 AM and 12:56 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 0.011459 rounded to three dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o = -275 - -402. Let h = 204 - o. Is h a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -84 = 2*d - 14*d. Let r(o) = -o**3 - o**2 - 13*o + 3. Let x(i) = i**3 + 2*i**2 + 12*i - 4. Let b(v) = d*x(v) + 6*r(v). Calculate b(-7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -28219904, -112879618, -253979142, -451518476, -705497620?\nAnswer: -1015916574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 21 + -13 + -6 + 4.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -40 * -19807\nAnswer: 792280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let u be ((-12)\/(-3))\/(4\/(-10)). Let i be 4\/18 - u\/(-126). Let h = -1856 - -3711\/2. What is the nearest to h in i, -1, -5\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 12 in 4, -3, -1\/5, 1, 0.211?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/((f*f*f**(1\/19))\/f)*f**4)\/(((f*f**0*f)\/f)\/(f\/f**(-18))))**(-1\/2) assuming f is positive.\nAnswer: f**(-417\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 4.4402616 rounded to two dps?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, -2\/13, -5, -4.\nAnswer: -5, -4, -2, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 4139*d**4 - 470*d**2 - 12*d wrt d?\nAnswer: 99336*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 57*((-14)\/12)\/((-1106)\/(-632))?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r = 8 + -5. Let c(s) = -s**3 + 25*s + 11. Let y be c(5). Suppose r*h - 41 + y = 0. Which is smaller: 9 or h?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -55 + 86 - ((97 - -10) + 10)?\nAnswer: -86","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7 = -4*f + 1, -5*f = 4*o - 62. Let v = 1 + 7. Calculate the remainder when o is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -90, -65, -40?\n\"Answer: 25*h - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -213*o + 14605 = -3500. What is the remainder when o is divided by 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 4*o - 8. Solve r - 2 = o*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 10458 - 5253. What is the highest common divisor of 15 and b?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-2)\/4)\/((-1)\/4). Suppose 3*o - l*o = x + 7, x = -2*o + 8. Put 2, -4, o, 3 in decreasing order.\nAnswer: o, 3, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(k) = -4*k - 84. Let m(l) = -l**2 + 37. Let v be m(8). What is the remainder when 90 is divided by t(v)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, 1\/4, -1.6, 1\/5.\nAnswer: -1.6, 1\/5, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*w - 14, -14*k + 2*w = -12*k - 654. Calculate the smallest common multiple of k and 22 + (3 - 0) + -5.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2*g*i*y**3 - 2*g*i*y**2 - 12*g*y**3 + g*y**2 - 3*g - 218*i*y**3 - 8*i*y**2 - 12*i*y - 2*y**3 wrt y.\nAnswer: 12*g*i - 72*g - 1308*i - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) be the second derivative of -a**5\/5 - 36*a**4 - 2592*a**3 - 93312*a**2 + 20*a. Solve p(l) = 0 for l.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -2 * 0.04\nAnswer: -0.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t = -55 - -44. Let d(r) = r**2 + 13*r + 19. Give d(t).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 354 minutes before 1:31 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -44.8 * 1094788.\nAnswer: -49046502.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:16 AM and 10:52 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (6*((sqrt(245) - (sqrt(245) - (sqrt(245)*-1 + 5)))*2 + (-1*sqrt(245) + -2)*-3)*-1)**2*1.\nAnswer: 8064*sqrt(5) + 18036","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12 = 3*n + 3*b, 5*b + 4 = 5*n - 16. Suppose 2*y + 3*y - 10 = n. Suppose -3*k + 5*c = -111, c + y*c = -k + 37. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*i = 726 + 664. What are the prime factors of i?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 9505591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -52*r + 63*r + 22 = 0. What is the hundreds digit of 11276\/10 - 1\/(5\/r)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-z + z + z)*(-172 + 81 + 82 + 5*z**3).\nAnswer: 5*z**4 - 9*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -71 (base 10) to base 9\nAnswer: -78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(w) = -w**2 + 2*w - 3. Determine f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2136125?\nAnswer: 5, 23, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 41*h - 5*h**4 + 113*h**4 + 2*h**2 + 56*h**4 wrt h.\nAnswer: 3936*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x - h = 171042, -277*x + 3*h - 102636 = -280*x. What is the tens digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 444 minutes after 2:34 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (22576\/(-996))\/((-272)\/864).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 1177790129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d(v) be the first derivative of 16*v**5\/45 - 4*v**4\/3 + 52*v**3\/27 - 4*v**2\/3 + 4*v\/9 + 13. Factor d(b).\nAnswer: 4*(b - 1)**2*(2*b - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 (base 9) to base 10\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 34777 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*a + 40*a - 2084 = -7544. Is a a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 909161114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -10*s**3 + s**2 + 6*s - 15. Give c(-3).\nAnswer: 246","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -736*z = -735*z - 97. Is 20 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = f**2 - 11*f - 19. What is g(13)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find o such that -6*o**2 + 467759577*o + 233879790 = 0.\nAnswer: -1\/2, 77959930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 2 + (-1 - 10) + 10\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i**(-6)\/i)**(-21)\/((i**(-2\/23)\/i)\/i**(-2\/9)) assuming i is positive.\nAnswer: i**(30608\/207)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Divide -296 by -4.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4181762t in kilograms?\nAnswer: 418.1762","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(g) = -g**2 + g + 3. Let t be i(2). Suppose 5*f - 14*a + 11*a - 30 = 0, -2*f = 3*a + 9. Let r be ((-36)\/(-27))\/(f\/(18\/8)). Is t greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 81 - 10?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 4256.864ng in micrograms?\nAnswer: 4.256864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 12707?\nAnswer: 97, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide 2640 by 33.\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 3032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let m = -25 - -54. Let l = -70 - -134. Suppose -6*s = -2*s - l. Calculate the remainder when m is divided by s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in 319, -4, 0.1, 4, 3177, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + 3*h. Let k be v(-5). Suppose 4*j - 22 = k. Find the second derivative of 13*p**2 - 5*p**2 - j*p + 10*p**2 - 5*p**2 wrt p.\nAnswer: 26","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 4396 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 263766?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 104806\/(-36279)*12\/26.\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(d) = -3*d + 272. Let v(t) = 3*t - 265. Calculate 3*k(j) + 2*v(j).\nAnswer: -3*j + 286","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is 5aa0 - -b3?\nAnswer: 5b93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z(a) = a + 1. Let v be -4 + (7 + -1)*1. Suppose 3*p = -3*k + k + 9, -v*p - 5*k = -17. Calculate z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1812*u - 3673*u - 4 + 3424*u.\nAnswer: -2061*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {r: 1, d: 2, n: 4}. Give prob of picking 2 d and 2 n.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the billions digit of 1466871819?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let n be 141\/27 + (-2)\/9. Let t(w) = 2*w**2 - 12*w - 12. Let u be t(8). Solve -n*o + 0*o = u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 5*a + 256 = -169, a = -4*k - 544. Let c be -8*3\/(-6) - 62. Let f = c - k. What is the highest common factor of f and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 64, 255, 574, 1021, 1596, 2299?\n\"Answer: 64*h**2 - h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m be -32*((-14573)\/(-52))\/(-19). What is the greatest common divisor of 1003 and m?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v + 2074*i - 2075*i + 6 = 0, 0 = -2*v - i - 2 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*c - 2 + 6. Let k(m) = 0 - 5*m**2 + 1 - m - c*m + 4*m**2. Give k(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4027 at most as big as 3830?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -103*f + 102*f + 1 = -2*i, -1 = 2*f - i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 86692783 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*v + v + 7*v)*(1 - v**2 - 1) + (3*v - 3*v - v)*(-4*v + 2*v**2 + 4*v) - 2 + 5 - 2 + 3*v**3 to n*v**2 + l*v + t*v**3 + k and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 10, -3*z = -3*t + 207 + 9. Let h = t - -13. Calculate the remainder when h is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 359 minutes before 9:55 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 17566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -42*y + 62 + 14 - 78*y + y**2 + 43*y.\nAnswer: (y - 76)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (9\/(-36))\/((-1)\/4) + 69. Let s = -65 + j. Solve -s*h - 5 - 5 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from zifiiyyyiyfzi. Give prob of picking 1 i and 1 f.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.66 and 3.3.\nAnswer: -2.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhwwww. Give prob of picking 1 h and 1 w.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y be (-8)\/(-12) - 2\/(-6). Let q be (-5 - -1)*y\/(-2). Factor 0 + 2\/3*b + 2\/3*b**q.\nAnswer: 2*b*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -3*i**2 - 90*i + 2. Give o(-30).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = 28 - 27.91. Let w = 0.11 - x. Round w to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -147354088*d**3 - 288552*d**2 + 86*d wrt d?\nAnswer: -884124528","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is 3e1 + 986?\nAnswer: d77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is (1\/115)\/(8506\/17012)?\nAnswer: 2\/115","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 211 is divided by 100.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 10 - 18. Suppose 0 = l*w + 3*w - 320. Is w a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 3, 37, -1, -1\/4, -12, -153?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4815016*-0.4.\nAnswer: -1926006.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is next in 86, 84, -12, -214, -534?\nAnswer: -984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 1737358373 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Does 3487 divide 24569402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k(r) = 41*r**3 + 2. Let q be k(2). Suppose -4*i = -i - 5*c - q, -405 = -4*i - 5*c. Is 29 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*y = -20 - 8. Suppose -13 - y = -5*z. Suppose 0*h + 54800 = -z*h. Round h to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 605712 (base 10) to base 11.\nAnswer: 384098","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 31*-394004\nAnswer: -12214124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4396 plus -50701.1?\nAnswer: -50701.5396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 56, 203, 448, 791, 1232, 1771, 2408?\nAnswer: 3143","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let b be 41 - (-6 + 7 + 3). Suppose b*n - 42*n = -30835. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 1410278 and 19043.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14920 + 14917 - 3*c**2 - 29844.\nAnswer: -3*c**2 - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 52878 is divided by 25?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is 59 - -4.5190643462?\nAnswer: 63.5190643462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*q - 30*j + 32 = -26*j, 5*q = 2*j + 36. Suppose -q*a = 27*a - 36925. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of 7551, 8219, 8909, 9633, 10403, 11231, 12129, 13109?\n\"Answer: 2*b**3 - b**2 + 657*b + 6893","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -127734*q + 27256*q + 7 - 7.\nAnswer: -100478*q","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} {"text":"Question: Express -26*o - 179 + 179 + (2 - 2 - 1)*(o + 2*o - 6*o) - o + 1 - 1 as i + n*o and give n.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-4*sqrt(1331)*3)**2.\nAnswer: 191664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/(-75))\/((-948)\/(-162)). Let q = 11848411\/3950 - u. Let j = q + -3011. What is the common denominator of 93\/2 and j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes before 8:09 AM?\nAnswer: 1:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 4, 323, 2\/9, 0.65, -5?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let -65*w**2 + 70 - 116 - 210 - 96*w + 65*w**2 + 2*w**3 = 0. Calculate w.\nAnswer: -4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p = 8*u - 3*u + 19, 4*p = 2*u - 8. Let l be (-2)\/(-4) - p\/(-6). Let y = -599 - -6583\/11. Is y greater than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (11 - 6)*(-18)\/(-60). Let k = 0.05 + 7.95. Sort -4\/9, k, -4, q.\nAnswer: -4, -4\/9, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(v) = -v**3 + 2*v**2 + 8*v + 5. List the prime factors of x(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 4, 267, -1, 0 in increasing order.\nAnswer: -1, 0, 4, 267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 109\/3564 and -115\/1034748.\nAnswer: 3104244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:44 PM and 12:57 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert 0.111813 months to millennia.\nAnswer: 0.00000931775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor f**3 + 37293*f**2 - 111886*f + 74592.\nAnswer: (f - 2)*(f - 1)*(f + 37296)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1719554, 1719521, 1719438, 1719281, 1719026, 1718649, 1718126?\nAnswer: 1717433","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 230088*j**3 + j**2*v - 175023*v - 1 wrt j?\nAnswer: 690264*j**2 + 2*j*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u = -4*f + 2*f + 6, 3*f = 5*u - 35 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Put -2, 0.1, 4, 41, -2152, 0.4 in decreasing order.\nAnswer: 41, 4, 0.4, 0.1, -2, -2152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let f(x) be the second derivative of x**4\/12 - x**3\/3 + 3*x**2\/2 - 17*x. Suppose 2*g = c, 5*g - 4 - 7 = -3*c. Suppose -3*n + c = -7. What is f(n)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 2*j + 6. Let n be t(16). Let y = n + -34. Solve -u = -5*u + y for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -0*p + 9. Suppose 2*h - p*h = -3*h. Solve 0 = -h*i - i - 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 271048 (base 9) to base 6.\nAnswer: 3310542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*a = k - 0 - 20, 0 = 5*k - 2*a - 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(4840) - sqrt(4840)*-1) + sqrt(40)*-3*-6)\/((sqrt(1600)*-2 + sqrt(1600))\/(sqrt(20)\/(sqrt(10) - (-1*sqrt(10) + sqrt(10)))))*5.\nAnswer: -20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -o - 4*o + 20. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5828 in 2\/7, 1\/3, 0.4, -0.5, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(2299))*-1)**2.\nAnswer: -22*sqrt(19) + 2300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 47238 to the power of 1\/4, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1025*i - 986*i + 1976*i)*(-2 + 0 + 4).\nAnswer: -70*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = -12*m**2 + m + 1. Let g(s) = -24*s**2 + 2*s + 2. Let w(l) = -23*l + 902. Let a be w(39). Give a*k(t) - 2*g(t).\nAnswer: -12*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*o + 3*n - 30 = 2*o + 1, 0 = -n - n + 14 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - -11) + -8 + 0 - 16?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*i - 4*p = -56, 749*i - 745*i + p + 11 = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-4)\/(-2) + (0 - -3). Suppose 71 = -2*z - 2*o + 169, 0 = c*o - 5. Let k = z + -32. What is the least common multiple of k and 22?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*q = 8*q. Let t = q - -4. What is the smallest common multiple of 8 and (t\/14)\/((-11)\/(-77))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 15 divide 1508?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.9 + 0.89. Which is the closest to 1\/3? (a) -5 (b) -0.2 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (11 - 10) + -19 + 3.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -38*y - 10*y + 49*y - 2*y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 91552 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round 6204.8 to the nearest 10.\nAnswer: 6200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 2230 + -1714. What is the smallest common multiple of p and 10?\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -585 + 587. Suppose -4*m + n*g + 8 = 0, -g + 4*g - 9 = -m. Solve m*l - i = 5, 3*l + 5*i = 5*l + 1 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -8\/7, -2\/15, 0.1, 850?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*s - z = 2*z - 14, -2*s - 3*z = -4. Suppose 0*c - 50 = -s*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*d + 188979 = 1180044. Is d 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 7236 and 1087452.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*x = 5*d - 5, 5*d - 6 - 11 = -x. Let w(b) = -10*b + 28. Let v be w(x). Solve v - 10 = -m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*u + 3*m + 37, -m - 188 = 2*u - 194. Solve u*n - 20 = 9*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in 36\/5, -3\/26, 0.4, -3, 20, -2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 560 minutes after 2:18 PM?\nAnswer: 11:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((f\/f**(-9))\/((f*f*f\/(f*f*f**(-1))*f)\/f))\/(f**(-4\/7)*f**(-2\/23)) assuming f is positive.\nAnswer: f**(1394\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 2*q - 4 = 0, -q - 7 = -2*l - l. Let d be (-24)\/4 + -4 + l. Let u(x) = -x - 5. Determine u(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 45 = 3*a + 12*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 2.37883209 rounded to 1 decimal place?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 3093087*b**3 + 2945495*b**2 + 2*b - 1?\nAnswer: 18558522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 8 + -11 - (-15 + 5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*r = 3*g + 20, -4 + 6 = -r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1777439*j - 25*j**3 + 1777439*j.\nAnswer: -25*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 1\/(3\/(-14))*(-54)\/(-1134)*-6\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the first derivative of v**6\/6 + v**3\/3 + v**2 + 63*v + 188. Find the second derivative of y(j) wrt j.\nAnswer: 20*j**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.084 + -0.05. Let t = 0.0393 - -0.002. Let g = n - t. What is g rounded to three decimal places?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 1984 by -31.\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 625396967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = -5*j**2 - 4. Let t be z(-6). Let b = -67 - t. Is b a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(a) = 2*a**2 - 3. Let l be w(0). What is the second biggest value in 0.3, 0.1, -0.1, l?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 18*f = 22*f. Is f greater than -2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -y**3 + 4*y**2 + 3*y + 2. Let h(l) = 3*l**3 + 1 - 7 - 7*l**2 - 8*l - 4*l**2. Suppose 33*v + 460 = 724. Calculate v*t(g) + 3*h(g).\nAnswer: g**3 - g**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d = -4742274 + 66449597\/14. Let g = d - 4133. What is the common denominator of (45\/(-200))\/(-3)*156 and g?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 133\/300 and -117\/800.\nAnswer: 2400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -u + 1. Let b(t) = 29*t**2 + 2*t + 17. Let c(d) = b(d) + 6*o(d). Is c(4) a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (-13 + 0 - (-13 + -9) - 25) + 10 - -64\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 63 is divided by 38.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let q = -38 - -62. Suppose -37 = -5*f - 12. Suppose q + 51 = f*u. Solve -u = 3*x - 6*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1947*j**2 + 0*j - 1949*j**2 + 9*j**3 + 0*j.\nAnswer: 9*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -118*m**3 + 270*m + 9*m**4 + m**5 - 56*m**4 - 139*m**4 + 118*m**3 wrt m.\nAnswer: 20*m**3 - 2232*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -12*n**3 + 2*n**3 - n**3 + (n - n**2 - n)*(n - 2*n + 0*n) - 17*n**2 + 6*n**2 + 8*n**2 + 2*n**3 in the form y + v*n**3 + t*n**2 + q*n and give v.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k*k*k**(-5\/7)*k*k*k*k*k*k**(-2\/39)*k**3*k*k**(-7\/6)*k)**(-7\/3) assuming k is positive.\nAnswer: k**(-5497\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 1371027 divided by -457009?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve c + n + 27 = 0, -4*c + 181 - 337 = -8*n for c.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -9*g - 3*g - 132 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert -98 (base 15) to base 7.\nAnswer: -263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*b**5 - 15*b**5 - 3*b**5)*(199 - 1058 - 792).\nAnswer: 23114*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -115 + 346 = -33*n for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Does 8 divide 26216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many seconds are there in 931912.7 weeks?\nAnswer: 563620800960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 12389 and 143.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve -85*d = 364 - 1116 - 183 for d.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -1807, -1759, -1615, -1327, -847?\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7775 + 1759 = -47*a. Suppose -11*x = -a + 40. Calculate the smallest common multiple of x and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -6\/41683 and -27\/5710.\nAnswer: 416830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in 2997, 17, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in 6, 1\/6, -378?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c - p + 105 = 14, -4*c = -2*p - 84. What is the remainder when 2\/7 + (-257)\/(-7) is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -532 (base 6) to base 8.\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 525989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -2*g**2 + 3*g. Let q(k) = -120*k**2 + 126*k. Let l(f) = 4*q(f) - 168*z(f). Let d(r) = -11*r**2. What is 27*d(p) - 2*l(p)?\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -5? (a) 0.3 (b) 15 (c) -1 (d) 1\/10\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Product of 75 and -17.\nAnswer: -1275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = -13 + 7 - 17*r + r**2 - 15 - 35. Let q(o) = -o + 5. Let b be q(16). List the prime factors of a(b).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -21315610 rounded to the nearest 1000000?\nAnswer: -21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 1336515\/31 greater than 43112?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1 + (2 + sqrt(242) + sqrt(1280)\/sqrt(10))**2.\nAnswer: 76*sqrt(2) + 727","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = d**3 - 10*d**2 + 18*d + 34. Let n be s(6). Which is the closest to n? (a) 5 (b) -2 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -s**2 - 4. Let j be r(0). Let u be (j*2\/(-8))\/7. Suppose -5*p - 16 = 9. Which is the second smallest value? (a) u (b) 4 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 16912 is divided by 398.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3 - 2a9049b?\nAnswer: -2a90498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -p + 11 = -0*p - 4*m, -40 = -2*p - m. What is the remainder when 74 is divided by p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(x) = -x**3 - 11*x**2 - 31*x + 27. Determine u(-6).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.27 in 2.16, 3\/4, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k + 3 = 2*u + 5, -5*k = 2*u + 30. Let t = -7 - -12. Suppose -4*o - 3 = -2*x - 15, -2*x - 13 = -t*o. Is x greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3452?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 4 divide 78468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22 + 32. Suppose s = -5*q + 34, -5*s = 2*q - 42 + k. Solve 3*x + q = -5*b, -2*x + 2*b = -4*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 23 and 152853699.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate -12 + (-9 - -27 - 2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) = -211*r + 14. Let k(q) = 420*q - 27. Give 5*j(n) + 3*k(n).\nAnswer: 205*n - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 66*o - 7664 - 29735 = 29657. Calculate the remainder when o is divided by 23.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (1 + -48)\/((-18)\/90).\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(k) = -126*k + 126*k + 3*k**2 - 2 + k**3. Determine b(-4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(33) + sqrt(99)\/sqrt(3) + sqrt(33))\/sqrt(3) - sqrt(44)\/(sqrt(4) + (1*sqrt(4) - sqrt(4))))*-2)**2.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 58925 is divided by 699?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g = -5 - -10. Suppose g*l + 80 = 4*a, -2*a - 40 = -6*a - 5*l. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -105*j - 32 = 53 + 20. Let t(d) be the third derivative of -d**6\/24 + d**5\/10 + d**4\/4 - d**3 - d**2. Let c(h) = -h**2 - h + 1. Give j*t(b) - 6*c(b).\nAnswer: 5*b**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Round -0.00000496953 to 6 dps.\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 5 (base 11) in base 16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 3*p + 2*p - 6*p + (3*p - 5*p + 0*p)*(3 + 5 - 5) + (2*p + 0*p - p + (2*p - 3 + 3)*(-3 + 5 - 1))*(-1 + 3 + 10).\nAnswer: 29*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 198 = 61*u + 74 - 242 for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 2 (base 10) to base 9\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 19661 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let f(s) = -6*s - 52. Let k be f(-9). Suppose -19*t + 2*t = -51. Solve t*j + 23 = k*h, 0 = -4*j + 5*h - 41 + 1 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2*sqrt(102)*6)\/sqrt(6) + sqrt(17) + 1*sqrt(68)\/sqrt(4) + (sqrt(2057) + 1)**2.\nAnswer: 36*sqrt(17) + 2058","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -11*q - 280. Give n(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: 128425+-3387185\nAnswer: -3258760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Express -1 - 64*b**3 + 19*b**2 + b + 187*b**3 - 60*b**3 - 56*b**3 as d*b**3 + x*b + y + i*b**2 and give i.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 4*i. Let w be 2\/2*(-8)\/(-4). Let l(t) = -6*t + 6*t - w*t**2. Determine l(d(b)).\nAnswer: -32*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let b be (0 - 2)\/2*0. Suppose -m - a + 12 = 0, b*m - a = -m + 12. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 29, 121, 277, 497, 781, 1129?\n\"Answer: 32*r**2 - 4*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (5*((sqrt(304) + 0 - sqrt(304) - 3*sqrt(76)\/sqrt(4)) + -1))**2.\nAnswer: 150*sqrt(19) + 4300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 2*v**2 - 17*v + 23. Let n(r) = r**2 - 8*r + 11. Let k(s) = -2*i(s) + 5*n(s). Factor k(m).\nAnswer: (m - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (2 + -3)*-3 - -8 and 10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that 12552820*n - 3*n**4 - 150*n**3 - 2799*n**2 - 12575920*n + 13602 - 84750 = 0.\nAnswer: -14, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14 - -22 - (-54 - (24 - 50))?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1893058 divided by 1893058?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is -c28 (base 14) in base 16?\nAnswer: -954","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*d**4 - 732*d**3 - 9810*d**2 - 19596*d + 30153 = 0. Calculate d.\nAnswer: -23, -19\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let d = -8523 + 8519. Sort 1, -378\/13, d.\nAnswer: -378\/13, d, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -600 divided by 6.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = 419 - 421. Which is the second smallest value? (a) 39 (b) -3 (c) -2\/5 (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5*((sqrt(42) + sqrt(84)\/sqrt(2)*-3)*5)\/(2*sqrt(6)*2*1))**2 + -3.\nAnswer: 4363\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let l = 3.4317 - 0.2317. Which is the closest to -0.3? (a) l (b) 2\/7 (c) 0.2 (d) -1\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-2917)\/35004)\/(4\/752)?\nAnswer: -47\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.93*2237.\nAnswer: -2080.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(r) = -2*r**2 + 6*r - 7. Let z be x(5). Find the common denominator of (z\/30)\/((-2)\/(-18)) and -9\/7.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 480390, 480333, 480276?\nAnswer: 480219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 77*h - 17 = 68 + 69. Solve h*x - 5*l - 18 = 0, 16 = 5*x + 53*l - 51*l for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5 - 3. Suppose -6 = -2*x - p. Let v be 183\/(-2) + (-1)\/x. What is v rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is u in -u**2\/6 - 2736787*u\/3 - 7490003083369\/6 = 0?\nAnswer: -2736787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 15947*t**5 - 4*t**3 + 859*t**2 - 1?\nAnswer: 956820*t**2 - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -2 + -203*(1 + 4). Is 13 a factor of (-2 - s\/(-18))\/(2\/(-12))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in r - 17*r + 18*r.\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z = -97 - -123. Let w = -33.2 + z. Let r = w + 7.2. Which is the smallest value? (a) -2 (b) 4\/7 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be ((-18)\/(-8))\/(((-20)\/(-112))\/(-5)). Let d = 11 - -26. Calculate the remainder when d is divided by (-345)\/(-27) - 14\/p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*a = w - 320, 5*w = 4*a - 33 - 381. Which is smaller: 523\/5 or a?\nAnswer: 523\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 56478976.\nAnswer: 2, 41, 5381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y be 86404\/10 - (-315)\/(-225). Suppose 33*x + y = 86*x. List the prime factors of x.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = -2 + 1 + 1 + 27*v + 1. Is 22 a factor of z(1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 138 and 30958?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 4292 and 16?\nAnswer: 17168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:30 PM and 8:17 PM?\nAnswer: 167","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand 1 - 1 + i**3 + (2*i**3 + 0*i + 0*i)*(-1 + 2 - 5) + (-29*i + 405*i - 7*i)*(2*i - 2*i - i**2).\nAnswer: -376*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = 5*n - 42, -5*k - 50 = 2*n - 7*n. Suppose 3*q + 426 = -2*g, -842 = 3*g + g + q. What are the prime factors of (g\/(-56))\/(3\/n)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 = 6*c - 5*c. Solve c*h - 8 = 1 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Do -3 and -9 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2230035 is divided by 5348?\nAnswer: 5267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*m*o*p*u**2 + 3*m*o - 16*m*p*u**2 - o*p*u**2 + 5*o*p - 2*p*u wrt m.\nAnswer: -4*o*p*u**2 + 3*o - 16*p*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -281 - -106. Let z = x + 179. Let l = 6 - 3. Solve 0 = -2*c + 2*w - 4*w + 8, -l*c = z*w - 12 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -2.38697 to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) = 2*s**4 - 10*s**3 + 2*s**2 - 6*s + 2. Let i(f) = -f**2 + f. Let v(a) = 2*b(a) + 12*i(a). Let x(y) be the first derivative of v(y). Factor x(q).\nAnswer: 4*q*(q - 4)*(4*q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*s**3 + 3*s + 2*s**3 + s**3 + 2 + (-s - 5*s + 4*s)*(s**2 - 2 + 2).\nAnswer: s**3 + 3*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 111\/14 and -53\/352.\nAnswer: 2464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2150 - 2141 + 3*y - y + 4296.\nAnswer: 2*y + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*h**4 + 6*h**4 - 2*h**4)*((0 - 6 + 5)*(5*h - 5*h - 2*h) - 2*h + 4*h - h).\nAnswer: 24*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -4*w**2 + 2 - 3 - 9 + 3*w**2 to the form d*w**2 + q*w + b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let d = -101 + 181. Let k = 991\/12 + -797\/12. Find the common denominator of (47\/(-5))\/((-448)\/d) and k.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 16 - 22. Let l be ((-2)\/i)\/((-16)\/(-6)). Let s be (-49)\/(-1617)*55*36\/70*1. Which is the nearest to 0? (a) -2 (b) s (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*f - 4 = -8*f + 5*i, 3*i + 9 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -347*f = -8*f - 2107 - 4978 - 4102 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Convert 110110101001 (base 2) to base 16.\nAnswer: da9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -17244 - -2?\nAnswer: -17242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 34010930 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Put 0.1654, 11, 1\/28 in ascending order.\nAnswer: 1\/28, 0.1654, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.063613 litres to millilitres.\nAnswer: 3063.613","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c(v) = -34*v - 399. Let r be c(-12). Suppose -3*x + 25 = 2*x. Solve x*g - r = 16 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -65*x**2 + 255. Let j(s) = -3*s**2 + s + 1. Let y(o) = a(o) - 2*j(o). Find the first derivative of y(t) wrt t.\nAnswer: -118*t - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 3\/2 + 2\/4. Suppose 2*v - 12 = -2*v. Suppose v*m - 14 = -j. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.4015029 rounded to two decimal places?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*s - 44 = a, s - 6 = a + 2*a. Calculate the remainder when 79 is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2659.\nAnswer: 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -5 in 2\/5, 1.2, -7, 0.3?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 134044335 a multiple of 316?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = -s**3 + 5*s**2 + 6*s + 8. Let r be h(6). Suppose -r = 3*n + n. Let u(c) = -4*c + 1. What are the prime factors of u(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-4)\/2)\/(15\/(-13) + 1). Suppose -7 = -10*g + w. Solve -g*i + t = -4, -t = -i - 0*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 148743.\nAnswer: 3, 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify n*n**(-3\/4)*n**5 assuming n is positive.\nAnswer: n**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*o**4\/9 - 2678*o**3\/9 - 5348*o**2\/9 = 0 for o.\nAnswer: -1337, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: 10 + (55 - 17 - 64)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 3\/5? (a) -5 (b) 140 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*m**2 + m**2 - 8*m**2 + (5*m - 4*m - 8*m)*(-3*m + 0 + 4 - 1).\nAnswer: 19*m**2 - 21*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -3*s**2 + 78*s - 36. Let n be c(7). Which is smaller: 364 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -21 - -10100102001?\nAnswer: 10100101210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 7*f**3 - 2*f**2 + 3*f - 2. Let b = 95 + -94. Let c be s(b). Suppose -y + 7 = c. Sort 2, y, 5, -19 in ascending order.\nAnswer: -19, y, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -261 - -267. Solve -p*s + 41 = 47 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7541010435?\nAnswer: 3, 5, 7, 71819147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.08 in 0.16, 1\/4, -6, 10?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 14402 (base 6) to base 12\nAnswer: 1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 220742?\nAnswer: 2, 19, 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -16 + 12 + (6 - (-2 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -287*o**2 + 48*o**2 + 248*o**2.\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s(i) = -7*i - 1. Let j = 255 - 251. Let u(w) = -3*w - 1. Calculate j*s(d) - 9*u(d).\nAnswer: -d + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in -275.8, -0.2, 3, 20?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 5 = -2*j, -3*f + 6*f + j + 7 = 0. Let t = 0 - f. Which is smaller: 6\/5 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -19898261, -39796524, -59694789, -79593056, -99491325?\n\"Answer: -h**2 - 19898260*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 176074?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jkjfu. Give prob of picking 2 j, 1 u, and 1 f.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + 0 + sqrt(7) + 2 + sqrt(7) + sqrt(49)\/(sqrt(7) - sqrt(1400)\/sqrt(8)).\nAnswer: -2 + 7*sqrt(7)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(i) = i**3 + 4*i**2 - 1. Let z be c(-3). Find the second derivative of 3*d**2 + 5*d**4 - 3*d**2 - 2*d - z*d**4 wrt d.\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y be (90\/196 + (-2)\/4)\/(-1). Is y smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 4141931 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand (-6 + 4*i - 3*i - 2*i)*(-3 - 4 + 6).\nAnswer: i + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 8? (a) -0.5 (b) -0.1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 69*t + 1269 - 1269 + (-2 + 1 + 2)*(t + t + 2*t) to the form u + c*t and give c.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -155*c - 699*c - 289*c = 3429 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 108 a factor of 637176?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*d + 0*d + 12*d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4 + 7 - 1)*((1 + 4 - 3)*(-1 + 1 - z) - z + 3*z + z)*(-15*z**3 - 6*z**3 - 11*z**3).\nAnswer: -64*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {z: 1, m: 2, x: 1, u: 2, f: 1}. What is prob of picking 1 m and 1 u?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d = d - 24. Suppose -31 = -3*l - h + 2*h, 0 = 4*l + 4*h - 68. Calculate the remainder when d is divided by (0 + -2)*(-54)\/l.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15 = 3*a, 4*b + 67*a - 16 = 71*a for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 + (-4)\/20 + 1?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 5313 and 1928388?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -0.1078 + 0.1578. What is the nearest to 0.1 in -0.22, g, 2\/5, -1?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 327 minutes before 11:48 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -w**2 + 0*w**2 + 1 - 2.\nAnswer: -w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: 10 + -3 - (18 + -27)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(170) + (sqrt(170)*1*4 - sqrt(170)))\/sqrt(10)*6.\nAnswer: 24*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(c) = -c**2 + 9*c - 8. Let w be i(5). Calculate the common denominator of (1 + (-13)\/w)*14 and -15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (-60 - 12 - 31 - 106)*(0*k**2 - 2*k**2 + k**2) in the form d*k**2 + f*k + c and give d.\nAnswer: 209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*d**3\/7 + 29016562*d**2\/7 - 105245152312310*d\/7 + 315735195787926\/7.\nAnswer: -2*(d - 7254139)**2*(d - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*k = 3*w - 4, 12*k - 10 = 7*k + w for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*h**2\/5 + 38244696*h\/5 - 182832096516552\/5 = 0 for h.\nAnswer: 9561174","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let o(m) = -m**2 - 18*m + 5. Let z be o(-15). What is the second derivative of -25*d**2 + 27*d**3 + 3 + 8*d**2 - z*d**3 + 25*d**3 - 9*d wrt d?\nAnswer: 12*d - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -71\/36 and 70\/387.\nAnswer: 1548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = -3*w. Let d be i(-4). Suppose 0*z = -3*z - d. Let l = z + 2. Which is greater: -6\/11 or l?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 154554978.\nAnswer: 2, 3, 29, 888247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = m**3 + 41*m**2 - 150*m - 278. Is g(-36) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l + 124 = -4*a, -31*a - 243 = -68*l - 32*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Multiply -69531 and -1.\nAnswer: 69531","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 44590441.3 + 58628?\nAnswer: 44649069.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -c = 5, 5*i = -c + 61 + 634. Is 17 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-4)\/6*18\/(-48).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 5112 and 5064?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*n + 4*i + 40, 0 = -n + 2*n - 5*i - 30. Let h = n - 1. Suppose 1\/3*r - 2\/3*r**3 + 0*r**2 + 1\/3*r**5 + 0 + 0*r**h = 0. What is r?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -3 (b) 2\/9 (c) 0.06 (d) 4 (e) 2891\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-6)\/35*(-5)\/2 + (-1575)\/(-441). Solve -15*q + 14*q - 19 = 5*s, r = -2*s - 4*q for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(y) = y - 1. Let k = 8 - 5. Suppose 6 = -k*s + 5*s. Let b(z) = -2*z**2 + 3*z + 4. Let l be b(s). Determine r(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.254751544 to three dps.\nAnswer: -0.255","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-14)\/4)\/7*10.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(b) = 129*b + b**2 - 253*b + 1 + 124*b. Let o(d) = 5*d**2 + d + 6. What is -o(h) + 4*u(h)?\nAnswer: -h**2 - h - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -6173*t*x**3 - 2289*t*x**2 + t*x wrt x?\nAnswer: -37038*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Convert 1626416 (base 8) to base 13.\nAnswer: 13609b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 192 = -3*r + 453. Suppose 0 = -4*p - i + r, 1 = 2*i + 11. Suppose -5*q - 3 = -p, -38 = -2*a - q. Calculate the remainder when 49 is divided by a.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many litres are there in 452951.8ml?\nAnswer: 452.9518","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 7*w. Let o(p) be the first derivative of -1 + w*p**2 - p + 2\/3*p**3. What is the derivative of o(j) wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1319 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is -4137.8 at least as big as -539?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(m) = 4*m**2 + 2*m + 1. Let y be (-2)\/(-4)*0\/(-5). Calculate the lowest common multiple of (3\/6 + y)*7*2 and d(-1).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 8\/6*(-5 - 52\/(-8)). Suppose b*y - 5*s + 1234 = 6707, -y = 2*s - 2759. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16, -25, -18, 11, 68, 159, 290, 467?\nAnswer: 696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -a + 19 = 7*o - 5*o, a + 1 = 3*o. Suppose -7 + 29 = a*k. Solve -2*n + 4 = 5*v, k*n + 2*v + 0*v = 4 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 8*n**2 + 76*n - 497. Give s(6).\nAnswer: 247","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -24669*g**5 - 14*g**4 + 53*g**3 + 309321193*g**2?\nAnswer: -1480140*g**2 - 336*g + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -93 = 3*u - 90. What is the tens digit of u\/4 - 309\/(-4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 132a (base 11) to base 16\nAnswer: 6be","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*(3 + sqrt(99)))**2.\nAnswer: 288*sqrt(11) + 1728","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in 61788044, 61788046, 61788050, 61788056?\nAnswer: 61788064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 67899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*p + 76 = -8. Let q be (-3 - -1)*(-8 + (-90)\/p). Let v(x) = -6*x**2. Give v(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -8*k**2 + 8*k - 42*k + 5*k**2 + 34*k. Let y(i) = -381*i + 2. Give z(y(b)).\nAnswer: -435483*b**2 + 4572*b - 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let i = -35984 + 36061. Solve 128 = 17*z + i for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) be the third derivative of g**6\/120 - g**5\/60 + 5*g**4\/12 - 7*g**3\/3 + 210*g**2. Let r be c(0). What is the second biggest value in -2\/9, r, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from yhgehghygb. Give prob of picking 2 h and 1 b.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 7706497 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2006*j - 2019*j + 78. Let w(y) = y + 1. Suppose -3 = -r - 2. Let g(c) = -2 - 1 - r - 8*c. Calculate j*w(s) + g(s).\nAnswer: -2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Convert -610175 (base 8) to base 16.\nAnswer: -3107d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*y = -14*y - 4. Let j(d) = 3*d + 13. Let v be j(-4). Put v, y, 9 in increasing order.\nAnswer: v, y, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:51 PM and 4:05 AM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*d = -10*d + 70. Let l be d\/10 - 6\/15. What is the units digit of 1\/1 + l - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -1\/5*x**5 + 0 + x**4 - 7\/5*x**3 + 0*x + 3\/5*x**2.\nAnswer: -x**2*(x - 3)*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (57\/(-228))\/((-55)\/(-7920)).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 f and 1 j when two letters picked without replacement from {c: 2, f: 8, e: 8, j: 1, w: 1}?\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Does 117 divide 1129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -17301, -17355, -17447, -17577, -17745, -17951?\n\"Answer: -19*w**2 + 3*w - 17285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 15659 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: (1*(-9)\/6)\/(60\/24)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = s**2. Let z(y) = 9*y + 5. Let l(p) = p + 1. Let i(v) = -5*l(v) + z(v). Suppose -16 = 4*n + r, -22*n + 3*r = -24*n - 38. What is n*i(c) + 2*x(c)?\nAnswer: 2*c**2 - 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 15*d**3 + 42*d**3 + 39*d**3 + 34*d**3 - 102*d**3.\nAnswer: 28*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: -11 (base 4) to base 13\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Are 2 and -350 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let y(d) = 25*d**2 + 22*d**2 - 52*d**2. Let p(r) = -91 + 52 + r - 3*r + 39. Give p(y(s)).\nAnswer: 10*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = 22 - 24. Let l be ((-3)\/9)\/(q - -3)*-21. Let g(t) = 5*t**3 + t - 4. Let s(c) = -11*c**3 - 3*c + 9. Give l*g(j) + 3*s(j).\nAnswer: 2*j**3 - 2*j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + 4*h = s + 40645, -3*h + 3*s = -24387. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z be (1 + -5)*17\/(-4). Let k = 37 - z. Solve 3*o - k = -2*o for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) = 22*m**2 + 159*m + 471. Calculate q(-3).\nAnswer: 192","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose i = 1 - 2. Calculate the least common multiple of 1\/i*(12 - 52) and 18.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 917 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: (-8)\/(-3)*951\/(-10144)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (-39)\/(-12) + (-11 - -6 - -1)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.7 + -0.6. Which is the closest to 0? (a) -1 (b) -5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -6\/1603 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -4*a**3 - a**2 - a - 1. Let s be d(-1). Suppose s*m + 10 = 22. Suppose -r - 3 = -m*r. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let -13905*d - 863*d**2 - 3777*d**2 - 5*d**5 - 6885 - 305*d**4 - 4810*d**2 - 2730*d**3 = 0. Calculate d.\nAnswer: -51, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**2 - 9*r + 2. Let t be m(9). Suppose -4*u + 31 = -49. Calculate the remainder when (-2 - (-1 + t))*-13 is divided by u.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 671\/39 + -228\/13. Which is the second smallest value? (a) k (b) -0.07 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -72 (base 8) to base 10.\nAnswer: -58","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 26\/6 + 143\/(-39).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 725 + -648. Sort b, 5, 0 in increasing order.\nAnswer: 0, 5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = -4*m + 25. Let r = -19 + m. What is the remainder when (1 - 0) + (12 - -9) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 37 - 9883220731*i**2 + 9883220737*i**2 - 37.\nAnswer: 6*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -1872 = -119*t + 106*t. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 5.761 rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let n = 9 - 4. Suppose 4*v + 2 = -n*w - 9, -2*v = -2*w + 10. Let b(r) = -r - 2. Let j be b(-4). Which is bigger: j or w?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -16 or 14?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f(g) = -2*g**3 + g**2. Let c(x) = 138*x**3 + x**2. What is 2*c(u) - 4*f(u)?\nAnswer: 284*u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence kcs when three letters picked without replacement from cokccks.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -100 (base 3) in base 16?\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence gcgg when four letters picked without replacement from cgrggcgurrcggrugucg?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = -84 - -89. Let x(q) = -q**2 + 8*q - 11. Let z be x(t). What is the highest common factor of 44 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 282716 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 3845598 to the power of 1\/2, to the nearest integer?\nAnswer: 1961","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 32 = -4*y. Is y < 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -71691, -71689, -71685, -71679, -71671?\nAnswer: -71661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0 + -0.1. Let y = -22.1 + 23. Let z = y - q. What is the nearest to -0.2 in 1\/5, -2\/5, z?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 10*m = 5*f + 12*m - 11016, -4*f - 5*m + 8806 = 0. List the prime factors of f.\nAnswer: 2, 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:44 PM and 1:52 AM?\nAnswer: 488","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -193258, -193259, -193260, -193261, -193262, -193263?\n\"Answer: -u - 193257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = z**3 - 4*z**2 + z + 4. Let o be p(3). Let x be o\/3*(-192)\/(-8). Is 17 a factor of 2 + (-252)\/x - 2\/(-8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 7 = 3*r, 2*r = -3*r + 5*x - 5. Let g be 0 + -22 + 0\/r. What is the common denominator of (-71)\/(-3)*3\/g and -65\/16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 6338, 12668, 18996, 25322?\nAnswer: 31646","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 16) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1 + -2 + (-9)\/(-3). Find the third derivative of 6*h**r - 3*h**2 + 2*h**4 - 5*h**4 - h**2 wrt h.\nAnswer: -72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 1. Let y(i) = 2*i + 32 + i**2 + 45 - 124. Let w be y(-8). Let x(h) = -3*h**2 - 2*h - 1. Determine w*x(g) - l(g).\nAnswer: -3*g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let c(y) = -17*y - 12*y**2 + 17*y - 21*y + 13*y + 12*y + 7. Let b(o) = 13*o**2 - 5*o - 8. What is 6*b(p) + 7*c(p)?\nAnswer: -6*p**2 - 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7202*l**3 + 3619*l**3 + 3552*l**3.\nAnswer: -31*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((w*w\/w**0)\/w**(-2\/15))**(-17\/2)*(w\/(w\/(w\/w**(-1\/21)))*w*w**(-1))**(-45) assuming w is positive.\nAnswer: w**(-6854\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = 258 - -269. Let g = m - 290. Suppose -a - 2*a = -g. Is 25 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l + 4*i + i - 84 = 0, -l - 3*i + 43 = 0. List the prime factors of l.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -20560619*k**2 - 3*k - 22465604.\nAnswer: -41121238*k - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 6456232 and 38?\nAnswer: 122668408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 24017, 48030, 72041, 96050, 120057, 144062?\n\"Answer: -v**2 + 24016*v + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -4333*l**2 - 7 + 1962*l**2 + 7 + 3*l + 1937*l**2.\nAnswer: -434*l**2 + 3*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b be 2 + (5 - (0 + 2)). Suppose -4*j + 28 = 3*n, b*j - 7*n = -2*n. Suppose 0 = -o - j*r - 12, 2*o + 3*r = -6 + 2. Solve -25 = -h - o*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = 0 + 5 + 1 - 6*y. Let l(u) = -5*u + 5. Let q be 3 + (-1 - 0)*(-4)\/4. Give q*t(v) - 5*l(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 506093 or 6073129\/12?\nAnswer: 6073129\/12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 0.3 (b) -2 (c) -59 (d) -3103\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is next in -2963, -2956, -2945, -2930, -2911?\nAnswer: -2888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 203*k**2 + 3*k - 1960 + 1960 - 3*k.\nAnswer: 203*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let h(a) be the second derivative of a**5\/20 + a**4\/4 - 2*a**3\/3 + a**2\/2 + 13*a. Let c be h(-4). Let z(b) = 6 - b - c - 6. Calculate z(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 15 = -3*s + 11*m - 8*m, 2*s = -3*m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is -1020 - -0.2347?\nAnswer: -1019.7653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = -89 - -149. Suppose -5*u + m = -0*u. Let v = u - 4. What is the smallest common multiple of v and 22?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o - 6*o - 52 = 0. Let j be 2\/5 - o\/20. Solve 0 = 4*a - 9 - j for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 0*h**3 - 2*h**3 + 9*h**3 + (20*h**2 + 1 + 95*h**2 + 8*h**2)*(-h - 4 + 4)*(2 - 1 + 1) as v + s*h**2 + m*h + t*h**3 and give t.\nAnswer: -239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o = 20 + -18. Solve -v + 17 = m + 2*v, 33 = 5*m + o*v for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -4 + 17*c**2 - 1298*c - 6*c**2 + 1303*c - c**3 + 2. Let g be ((-55)\/10)\/((-2)\/4). Does 15 divide z(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 9871249 and 281?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**3 + 399*v**2 - 19407*v - 29757. Determine k(342).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (5\/(-4))\/(((-325)\/(-30))\/(-13)) - 1?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = z**2 + 33*z - 31. What is the least common multiple of a(-36) and 14?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-5 - 3) + 20 + -17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -73 - -160. Let f = g - 43. Let x = -23 + f. Is 7 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 8780.3 to the nearest 100.\nAnswer: 8800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 503.\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Express 7*z - 6*z - 2 + 131*z**3 + 4*z**4 - 2*z**2 - 130*z**3 + 40*z**2 as u + j*z**3 + m*z**4 + h*z + o*z**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 16 + 4745*r - 16 + 8458*r + 15863*r in the form h*r + k and give h.\nAnswer: 29066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 160382523 is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put -9, 7, -3, 0.5, 3\/113, 8.2 in descending order.\nAnswer: 8.2, 7, 0.5, 3\/113, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 986?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -o + 2. Let s(z) = z**2 - 14*z + 6. Let m be s(14). Let a = -9 + m. Give v(a).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 132 minutes after 6:39 AM?\nAnswer: 8:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) = 6*z - 3. Let v be d(6). Suppose 36*b = v*b - 18. What is the tens digit of (3 - 7) + (76 - b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 47265524.1 minus -24535?\nAnswer: 47290059.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Simplify (3*(4 + -1*sqrt(28)*-6))**2.\nAnswer: 864*sqrt(7) + 9216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 715 minutes after 8:41 PM?\nAnswer: 8:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 16 + (-21 - -17) - 17?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k be 14*4 - (2 - 3). Suppose -2*n - n = -k. Let q be -2 + (100 - 2) + -1. Calculate the highest common divisor of n and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 179644087 and -0.5.\nAnswer: -89822043.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 4 a factor of 45024?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is (20 + (-868806)\/(-155))\/(4\/10) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -1.1837 and 0.268?\nAnswer: -0.3172316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -15, -17, -3, 27?\nAnswer: 73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(h) = 2*h**2 - 3*h + 4. Let k be w(-5). Let b = -48 + k. What is the greatest common factor of b and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -2\/3, -1\/7, 1\/3, -2, -0.7538?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 12088134 to the nearest integer?\nAnswer: 3477","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -350 + -1056504?\nAnswer: -1056854","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: (-6)\/((-48)\/(-58656)*141)\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**2 - 2*t - 22. Let j(v) = -3*v**2 - 4*v - 42. Let w(a) = j(a) - 2*l(a). Let g be 3 + (-1 - 0)\/(-1). Let u(p) = -4*p + g*p - p. Calculate w(u(o)).\nAnswer: -5*o**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let g(r) = -7*r**3 - 3*r**2 - 3*r. What are the prime factors of g(-2)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -f = -3*s + 33, -26*f + 4*s = -25*f + 45 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**(-12)*i**13)**(-10))**(2\/67) assuming i is positive.\nAnswer: i**(-20\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(d) be the first derivative of -d**8\/240 - d**7\/420 + 7*d**6\/360 + d**5\/60 + 4*d**3\/3 + 6. Let x(m) be the third derivative of j(m). Factor x(q).\nAnswer: -q*(q - 1)*(q + 1)*(7*q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 29.08855s to microseconds.\nAnswer: 29088550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Express 126*o**2 + 16*o + 17*o + 32*o - 65*o + 20 as y + u*o**2 + f*o and give u.\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let u(f) be the first derivative of 6 - 8*f**2 + 26\/3*f**3 + 0*f. Find the second derivative of u(g) wrt g.\nAnswer: 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 396966 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 54.51? (a) -2 (b) -0.04 (c) 1\/25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w(j) = -7763*j + 2096012. Give w(270).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 128225 and 37375?\nAnswer: 575","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**(-14)\/c**(-17)*c**(-1\/7)*c**(-5\/2))**(-20) assuming c is positive.\nAnswer: c**(-50\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/23? (a) -13 (b) -24 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is ((-12)\/(-9))\/(2\/(-3))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let z(g) = -5*g. Let m(u) = u - 8. Let k be m(5). Let i be -1 + (-1)\/k + 16278\/9. Let o(y) = 1808*y - i*y + 9*y**2. Give o(z(q)).\nAnswer: 225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let t be 5*1*(32 + -31) - -12. Let m(r) be the third derivative of r**4\/8 + 29*r**3\/6 - 2*r**2. Is m(t) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*sqrt(10)*1)\/(2*sqrt(500) + sqrt(500)))**2 + 2 + (-3 + sqrt(2)*2)*-4 + (sqrt(72) - sqrt(8)*5)**2.\nAnswer: -8*sqrt(2) + 1152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -87 + 5*f**4 + f - 15 + 250*f**3 - 4*f**4 + 23 - 32*f**3 wrt f.\nAnswer: 12*f**2 + 1308*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {v: 10}. Give prob of picking 3 v.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z be 3 - (-2 - -2*4) - -39. Suppose 9*x - z = 6*x. What is the common denominator of -23 + 22 + (-7)\/x and 145\/18?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 32077?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u = 834 - 829. Let t = -7 - -32. Suppose 4*j - t = -j. Calculate the lowest common multiple of u and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -26 + 40. Suppose t = i + i. Calculate the remainder when i is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -775, -1784, -3029, -4510, -6227, -8180?\nAnswer: -10369","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l = 3*m + 25 + 23, -l = -4*m - 64. Let x = 14\/207 + -2125\/28359. Let y = x - 130\/959. Which is the second biggest value? (a) y (b) m (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -622, -623, -624?\nAnswer: -625","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 13472824219 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (6 - -1) + (-9 - 1) - 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of -343, -699, -1053, -1405, -1755?\n\"Answer: v**2 - 359*v + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let x = -9331 + 19513. List the prime factors of x.\nAnswer: 2, 3, 1697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 5689, -0.4, -0.5, -5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3294351400 + 72450423817\/22. Let r = 1148349 + o. Let j = r + 1969. What is the common denominator of j and -47\/60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -149*a - 70220 + 79905 for a.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3.38812 rounded to two dps?\nAnswer: 3.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -9 divided by 127\nAnswer: -9\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 509*m**4*n**2 - m**2*n**2 + 1534*m*n - 2*n**2 wrt m?\nAnswer: 6108*m**2*n**2 - 2*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*b = 5*b. Suppose -t = 4*c - 10, -2*c + 68 = 4*t - b*c. What is the remainder when t is divided by -6 + 5 - -11*1?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2600 + -2600.2. Let r = 7.4 - 4. Let c = -0.4 + r. What is the nearest to c in w, 0.1, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:49 AM and 7:11 AM?\nAnswer: 142","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v + 0*k + 2*k + 24 = 0, -3*v + 3*k + 18 = 0. Suppose 2*r + 7*u - 3446 = 5*u, v*r = 4*u + 6932. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 1 + (-1)\/(-2)*(22 - 14). Let p = -446\/7 + 452\/7. Solve 0 + 3\/7*l**3 + p*l**4 + 0*l + 3\/7*l**s + 0*l**2 = 0 for l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (2 + sqrt(12)\/(sqrt(20)\/sqrt(20)))**2 + sqrt(108)*-1 + sqrt(15)\/sqrt(5)*-4 + -4.\nAnswer: -2*sqrt(3) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:46 PM and 11:27 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 6288 a multiple of 66?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 r and 1 y when three letters picked without replacement from jrjiiy?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 180 a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.05162 - -0.06.\nAnswer: 0.11162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -394 + 127. Let h = 274 + b. Solve -h*f + 3*f + 8 = 2*d, 0 = -f + 3*d + 16 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -l**4 + l**3 - l**2 - 1. Let j(b) = 4*b**5 + 6*b**4 - 6*b**3 - 4*b**2 + 6. Let c(i) = -j(i) - 6*q(i). Find the third derivative of c(s) wrt s.\nAnswer: -240*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.4 - 734.\nAnswer: -733.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(a) = a**2 + 115*a - 5250. Give p(-154).\nAnswer: 756","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 153986113 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 3\/7? (a) 4 (b) -0.2 (c) 386\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 111\/4 + -57\/2. What is the closest to -1 in l, 2\/11, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/143016)\/(-2 - -1). Let r = -846197\/679326 - s. Let c = 12068 + -120781\/10. Find the common denominator of c and r.\nAnswer: 570","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 58\/35 less than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let 3*z**4\/8 - 9*z**3\/8 + 3*z**2\/8 + 9*z\/8 - 3\/4 = 0. Calculate z.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -920, -4096, -9388, -16796, -26320?\nAnswer: -37960","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 104*j**2 - 4*j - 96*j**2 + 4*j + 0*j to the form t + n*j + l*j**2 and give l.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 55982 and 8519.\nAnswer: 391874","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let v be 11 + (-6)\/(-21) + 9\/(-7). What is the tens digit of v\/(-30) + 939\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -189*z**2 - 3*z - 21*z + 244*z**2.\nAnswer: 55*z**2 - 24*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -7*r - 6 - 15. Which is the closest to r? (a) -6 (b) 2\/3 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be (4\/6)\/((-2)\/(-3)). Let p = 3 - w. Suppose p*y = 6*y + 14800. What is y rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -13*d**3 - 407*d**2 + 407*d**2 + 19*d**3.\nAnswer: 6*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 587050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify 1*((sqrt(425) + sqrt(425) + 1*sqrt(425) + 0 - (1 + (sqrt(425) - (3 + sqrt(425)))))*4*-6*1)**2.\nAnswer: 34560*sqrt(17) + 2205504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is 1511 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 3596 - -2?\nAnswer: 3598","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t = 28 - 33. Suppose 4*h - 67 = -3*i - 22, -4*h + 26 = 2*i. Let s = i + -15. What is the closest to -0.1 in t, 0.1, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: 43426480 divided by -8\nAnswer: -5428310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j = -12 + 16. Let c be j - 5\/(260\/116). Let t = 167\/65 - c. What is the nearest to 0.4 in 2\/5, t, -3\/7?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*z + 1500 = 106*z. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2002 - 2002. Let i(o) be the second derivative of -1\/42*o**4 + 3\/70*o**5 + 11*o + 1\/147*o**7 - 1\/35*o**6 + 0*o**2 + 0*o**3 + y. Factor i(b).\nAnswer: 2*b**2*(b - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19 minus -23714?\nAnswer: 23733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.6 in 10.24, -3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = -6*m - 97. Let v be y(-18). Suppose -2*h - b = v, 0 = -5*h + b - 3*b - 25. Let i(k) = k. Let p(l) = 1 - 4 + 0*l + 2 + l. Determine h*i(o) + 2*p(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 1942*n - 1919*n + 253 = 0 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Work out -29584973 * -0.4.\nAnswer: 11833989.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2935386991 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(l) = -l**3 + 37*l**2 - 21*l + 14. Let d be v(36). Suppose -u + d - 189 = 0. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 2*w**4 + 17025*w**3 + 33081*w - 5 wrt w.\nAnswer: 24*w**2 + 102150*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is -20215 <= -20214?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is -4\/2845 >= 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -30\/73, 13250, 5?\nAnswer: -30\/73","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Does 49 divide 248952879?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of o**4*p**2 - 19*o**4 + 6*o**3*p**3 - 2*o**2*p - 126*o*p**3 - p**3 wrt o.\nAnswer: 24*o*p**2 - 456*o + 36*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -q - q + 6 = 0. Let o be -3*(-1)\/q - 25. Let c be (o\/9)\/(10\/(-15)). Solve -2*y = -0*y - c for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 719 minutes before 11:11 AM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 240 + -224. Solve -4*r - x = 8*k - 4*k, 18 = -5*k - 3*r for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 16 - 9 - (23 + -7 + -2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + ((sqrt(10) + sqrt(60)\/sqrt(6)*3 - 3*sqrt(490))\/((sqrt(2560) + (sqrt(2560) - -2*sqrt(2560)) + sqrt(40))\/(sqrt(88)\/(-2*sqrt(11) + sqrt(11)))))**2.\nAnswer: -3778\/1089","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-514)\/(-23387)*9\/(99\/77)?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -213*f - 52 = -411*f + 208*f + 308 for f.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Factor -5*v**3 - 57905*v**2 + 11361910*v.\nAnswer: -5*v*(v - 193)*(v + 11774)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 1863595?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 10d0 - -4?\nAnswer: 10d4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yl when two letters picked without replacement from {l: 1, w: 1, y: 2, o: 1, n: 1, f: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-1)\/4)\/(11679\/5496).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -3*q**2 - 232 - 2*q**3 + 4*q**3 + 231 + 3*q**4 to x*q**2 + d*q + h + s*q**4 + y*q**3 and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 0.12342 rounded to 2 dps?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 7794 and 1299.\nAnswer: 7794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1 - 0\/4) + 32. Suppose u = 2*r - 3*c, 0 = 5*r - r + 5*c - 99. Let a = 3 - r. Is -17 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2.6 in 3, 2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let p(r) = r**3 + 11*r**2 - 3. Let o be p(-11). Let m(i) = -2*i - 6. Let n be m(-5). Suppose 0 = -3*d + n*d + 4. Put -0.1, o, d in increasing order.\nAnswer: d, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -458, -872, -1274, -1658, -2018, -2348, -2642, -2894?\nAnswer: -3098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put 3, 0, -66, 16, 1 in increasing order.\nAnswer: -66, 0, 1, 3, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) be the second derivative of -c**5\/20 + c**4\/4 + c**3\/2 - c**2 + 34*c + 1. Calculate b(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 103 is divided by 56.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 12\/8*-4*(4\/18 - 17945\/(-1746))?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -34081, -35818, -37555, -39292, -41029?\nAnswer: -42766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (2 + sqrt(98))**2 - (sqrt(98) + (sqrt(98) - (3 + sqrt(98) + sqrt(98)*-2)) + sqrt(98)).\nAnswer: 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1679 and 2.\nAnswer: 3358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -6659, -13378, -20145, -26954, -33799, -40674?\nAnswer: -47573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 2130691205 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 2*j**2. Let y(x) = -977*x - 56. Let p(l) = 202*l + 11. Let g(q) = -14*p(q) - 3*y(q). What is n(g(t))?\nAnswer: 21218*t**2 + 5768*t + 392","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 0.582*-7\nAnswer: -4.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 41593841.\nAnswer: 41593841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/3779696 and -13\/5197082.\nAnswer: 41576656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = k**2 + 7*k + 4. Let l be n(-7). Let v = 58 + -55. Suppose -a + 25 = l*y, 2*a = v*y - a - 30. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 7682?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w = -a + 613 + 20612, -4*w + 28300 = 4*a. What are the prime factors of w?\nAnswer: 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express 3*a - 7 + 21*a**4 - 5*a**3 - 18*a**4 + 6*a**3 in the form p*a**2 + z*a**4 + j*a**3 + u*a + y and give y.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1.3? (a) 1765 (b) 0.5 (c) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*n**2 - n**2 - 2*n**2 + 4*n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 217365?\nAnswer: 3, 5, 43, 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 749367 and 5891250.\nAnswer: 4713","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*d + h - 5*h + 29, 14 = -3*d - h. Let w = 3 - d. Suppose -x = -w - 5. Is 9 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x + 14 = -2*x - y, 0 = -4*x - 3*y - 28. Let n(p) = 3 + p**2 - 5 - 27*p - 7 + 32*p. Let w be n(x). Solve 5 = -3*b - 2*g + 22, 3*b - 29 = -w*g for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) = i**2 + i. Let n(b) = 3*b**3 + 7*b**2 + 7*b. Determine -5*n(g) + 35*u(g).\nAnswer: -15*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve g + 18 - 9 = 4*d, -2*g = -4*d + 10 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 284 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18*l - 50 = -1040. What is the smallest common multiple of l and ((-14)\/4)\/(5\/(-10))?\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = 107.916 - 108. Let z = i - -0.084128. Round z to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1.3432548 months in decades?\nAnswer: 0.01119379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence yhn when three letters picked without replacement from ymymnmmhymnm.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is (-12)\/18*6*1\/2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 18*d**5\/17 + 6952*d**4\/17 + 166730*d**3\/17 - 1143948*d**2\/17 + 1603872*d\/17 + 414720\/17 = 0 for d.\nAnswer: -360, -32, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (i*i**3*i**(-1\/4)\/i*i**(-1\/55))\/(((i*i**2)\/(i\/(i*i\/i**5)))\/i**(16\/5)) assuming i is positive.\nAnswer: i**(305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Simplify (1*sqrt(252) - (sqrt(567)*2)**2 - (sqrt(84) - sqrt(84)*-1*1)\/sqrt(12))*-4.\nAnswer: -16*sqrt(7) + 9072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 47 - 40. Suppose -15*t = -x*t. Sort 5, t, -10, -2 in increasing order.\nAnswer: -10, -2, t, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -213 and -14817?\nAnswer: 3156021","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: ((-14)\/28*160\/48)\/(1\/12)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (3381\/(-1428) - 102\/(-867))*(-4)\/(-10).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 22231654 (base 8) in base 9?\nAnswer: 10021655","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u = 0.05 - -6.95. Let y = -6.9 + u. Let f = 3\/7 + 1\/14. What is the closest to f in 3, y, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 323 a factor of 1106598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 130 - (7 + (118 - -83))?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 0.07 (b) 1 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 6 - -482.547537?\nAnswer: 488.547537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 17 divide 5587?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 5*o**2 - 73*o - 28. Let x be j(15). Which is bigger: 1\/2 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -71\/651 and 95\/6.\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 488*h - 488*h - 146*h**2.\nAnswer: -146*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1349 + 2701 - 1352 + 2450*c.\nAnswer: 2450*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in three eighths of a decade?\nAnswer: 45","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 621551541 to the power of 1\/5, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v = 26 + -25.1. Suppose 2*l = 4*o + 2, -569*l + 5*o - 2 = -571*l. What is the nearest to v in 4, 5, 0.5, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3469 take away -8004061092?\nAnswer: 8004057623","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: -115390 (base 10) to base 7\nAnswer: -660262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -17 = -p + 5*o, -5*p = -3*p - 4*o - 10. Let y = 148 - p. What is the remainder when y is divided by 26?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) = f**3 - f**2 - 3*f - 1. Let y be k(-1). Solve y = -n - 3*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:12 PM and 5:31 PM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2\/5 (b) 3 (c) -3 (d) 6\/5 (e) -2\/9 (f) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1617231*w**3 - 3234468*w**3 + 566*w**2 + 1617235*w**3 - 2*w.\nAnswer: -2*w**3 + 566*w**2 - 2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) be the second derivative of -v**3\/6 - 4*v**2 + v. Suppose 0 = 5*g - 3*a + 25, -7 - 8 = 3*g + a. Give y(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 + 0 - 3)*(-30*z**2 - 80*z**2 + 3*z**2) to r*z + g*z**2 + b and give g.\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 4\/(-112)*((-40)\/(-140))\/(3\/14).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = -3*b. Let q(o) be the second derivative of o**6\/360 - o**4\/12 - 4*o. Let v(h) be the third derivative of q(h). Give v(d(j)).\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.1466 - 0.16397. Round z to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 490028530 a multiple of 258?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: 4 (base 8) to base 7\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: 2a (base 11) to base 15\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 685155.2 millilitres in litres?\nAnswer: 685.1552","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 11803656703 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*o + 5*r = -4*o + 114, -5*r - 94 = -4*o. Let i be o\/(((-2)\/(-1))\/(-4)). Let x = i - -94. Is x a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -7096, -7866, -9160, -10984, -13344, -16246?\nAnswer: -19696","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let l(b) be the second derivative of -2*b**7\/21 - 40*b**6\/3 - 39*b**5 + 100*b**4\/3 + 392*b**3\/3 - 111*b + 6. Let l(z) = 0. Calculate z.\nAnswer: -98, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -2*a*f*o + 2*a*f*z - 5*a*o + a*z + 2*a + 6*o*z - 12*z wrt o.\nAnswer: -2*a*f - 5*a + 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ffy when three letters picked without replacement from {y: 3, f: 7}.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t = 213\/5 - 43. Let w = -0.093 - -0.093. What is the fourth smallest value in 2\/9, -1, w, t?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 498.354 + -440.5481. Let j = o + 0.0941. What is j rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + 6. Let b(r) = -3*r**2 - 19*r - 2. Let j be b(-6). Let v be j - (-18)\/(-26)*6. Sort i, v, -4 in decreasing order.\nAnswer: v, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u*u\/(u*u\/(u\/((u*u**(2\/15)\/u)\/u)))*u)\/(u\/(u**(-7)*u*u))*(u\/(u**(-5)*u))\/(u\/u**(5\/3)*u) assuming u is positive.\nAnswer: u**(23\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00058983391 to six decimal places.\nAnswer: 0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -2.756 rounded to 1 decimal place?\nAnswer: -2.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Express (-z + 2 - 2)*(-5 + 4 - 1) + 4*z - 2*z + 0*z - 89*z + 90*z - 155*z - 2*z + 2*z - z + 0 + 0 + z in the form k + m*z and give m.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.49, -5, -3\/8, 1\/6, -428 in increasing order.\nAnswer: -428, -5, -3\/8, 1\/6, 0.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b = -43 + 13. What is the common denominator of (12\/b)\/((-72)\/(-370)) and (-14)\/(-36) + 1\/(-1)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 84 to the power of 1\/3, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 2 times -5.4\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -92807 or -92805?\nAnswer: -92805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let n = -288 - -53. Let k = n - -239. What is the third biggest value in 2\/17, k, 2\/29?\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -3132211 + -2?\nAnswer: -3132213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 660053189 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 0.03 times -13844?\nAnswer: -415.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 10124052 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (w*(((w*w\/w**(2\/5))\/w)\/w)\/w*w*w)**6*((w\/w**(-4))\/w*w)\/(w*w\/(w*w**7)*w) assuming w is positive.\nAnswer: w**(98\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 261 a factor of 1128564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let v = 187.72416864 - 79.72416751. Let y = v + -108. What is y rounded to 7 dps?\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -3, 1, -2, -10 in decreasing order.\nAnswer: 1, -2, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = -844*g - 297136. Determine h(-352).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 276802233 to the power of 1\/2, to the nearest integer?\nAnswer: 16637","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 37*f**2 - 37*f + 162. What is the thousands digit of v(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:24 AM and 3:34 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of 715, 4970, 16583, 39232, 76595?\n\"Answer: 613*q**3 + q**2 - 39*q + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(k) = 2*k**2 - k + 232. Let x be v(0). Calculate the greatest common factor of 29 and x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 0.0063232 micrograms?\nAnswer: 0.0000000000000063232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -130233, -260532, -390831, -521130, -651429, -781728?\nAnswer: -912027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = 35 + -29. Let b(n) = -n**3 + n - 1. Let r(v) = -4*v**3 + 5*v**2 + 10*v. Let f(o) = 3*b(o) - r(o). Determine f(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 4306\/9*9\/3. Let z = i - 1450. Calculate the common denominator of 101\/4 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0*l + 64*l**2 - 2\/3*l**5 - 89\/3*l**4 + 340\/3*l**3 + 0 = 0.\nAnswer: -48, -1\/2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -4 - (-25 + 12 - (-7 + 3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 932585?\nAnswer: 5, 37, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in -1, 0.5, 8, -5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 671 is divided by 328.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*h = 3*k + 10, -5*h + 18 = -2*h - 3*k. Let p(y) = 72*y - 7. List the prime factors of p(h).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = -k. Let a(r) = -1302*r**2 + 248*r**2 - 3017*r**2 - 287*r**2. Determine a(g(d)).\nAnswer: -4358*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = k + 225. Let i(b) = 180. Let r(d) = -5*i(d) + 4*x(d). Let t(p) = -2*p**2 + 58*p. Calculate t(r(z)).\nAnswer: -32*z**2 + 232*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 160441?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 10 - 155202501?\nAnswer: -155202461","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = -m**3 - 11*m**2 - 9*m + 12. Let o be p(-10). Solve o*r = -0*r - 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = 153*k. Let t(u) = 468*u - 286. Let r(j) = -13*j + 8. Let h(n) = -143*r(n) - 4*t(n). What is z(h(a))?\nAnswer: -1989*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let r(m) = m**2 - 19*m - 37. Calculate r(21).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrrr when four letters picked without replacement from {q: 7, r: 5}.\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.06 + -0.012. Let b = 0.02 + a. What is b rounded to two dps?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:14 AM and 6:44 PM?\nAnswer: 690","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 254 minutes before 4:41 AM?\nAnswer: 12:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is next in -35, -80, -161, -284, -455, -680, -965, -1316?\nAnswer: -1739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let w be (9 - 48\/(-8)) + -7. Let r(c) = 2*c - 11 + w + 12 + 3 - c. What is r(-10)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/7 in 0.02, 772, -10?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 323020133 - -123?\nAnswer: 323020311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*a + 2*a + 2*a)*(-4*a**3 + 2*a**3 + 0*a**3) - 24*a**2 + 9*a**4 + 24*a**2 + (-a**3 - 3*a**3 + 2*a**3)*(2*a - a - 3*a).\nAnswer: 9*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -393 + 157. Let a = j + 348. Calculate the highest common factor of 7 and a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -2110157 - -4?\nAnswer: -2110153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Divide 5112491 by 14.\nAnswer: 5112491\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) -2 (b) -147 (c) 1\/2 (d) -0.3 (e) 2.543 (f) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -3*m**3*w**4 + 2*m**3*w**3 - 503*m**3 wrt w.\nAnswer: -12*m**3*w**3 + 6*m**3*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*v = 77 + 575. Suppose 9 = 4*s - v. List the prime factors of s.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((p**(1\/2))**(-37))**(2\/9) assuming p is positive.\nAnswer: p**(-37\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*d - 3*d = -15, 0 = -3*b - 4*d + 50. Find the third derivative of 7*i**2 + 2*i**2 - b + 6*i**4 + 9*i**4 - 7*i**2 wrt i.\nAnswer: 360*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-15*m - 133*m - 57*m)*(m - 2 + 2)*(m**3 - 2*m**3 - 3*m**3 + (-5*m**3 + 2*m**3 + m**3)*(2 - 4 + 3) + 5*m**3 - 2*m**3 - m**3).\nAnswer: 820*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let p(q) = -q**3 - 5*q**2 - q - 2. Let v be p(-5). Suppose -3*h + 207 = -0*h + 3*i, -5*h - v*i + 339 = 0. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -52, -38, -40, -64, -116, -202?\nAnswer: -328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 669 take away -1467312176?\nAnswer: 1467312845","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 326370 to the power of 1\/2, to the nearest integer?\nAnswer: 571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let j = -7959 + 7958.6. Put 3, -93, j, 15 in descending order.\nAnswer: 15, 3, j, -93","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wwyh when four letters picked without replacement from {w: 2, y: 1, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w + 4 = -1506*y + 751*y + 759*y, 2 = 2*y + 17*w for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -60*a + 57*a = 15. Put -2, -4, 5, a in decreasing order.\nAnswer: 5, -2, -4, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 231 - 91. Let c = r - 137. What is the nearest to -3 in 2\/3, c, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(b) = 7*b - 16. Give d(16).\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 + 13*r**2 - 74*r - 635. Let a be m(-15). Let c(g) be the second derivative of -1\/8*g**4 - g**3 + 0 + a*g - 9\/4*g**2. Factor c(i).\nAnswer: -3*(i + 1)*(i + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:25 PM and 9:47 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 81 and 30.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in -4, -1, 0.5, -3, 11\/26, -210?\nAnswer: -210","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4860 is divided by 46.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*d**2\/9 - 184300*d\/9 + 16622242.\nAnswer: 2*(d - 91331)*(d - 819)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eeeneene. Give prob of sequence eee.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is -21844 minus -5?\nAnswer: -21839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -4a5a + -9?\nAnswer: -4a68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -2, 7.1, -0.1 in increasing order.\nAnswer: -2, -1, -0.1, 7.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -0*i + 5*i - 20, -71 = 3*o + i. Let f be ((-10)\/o)\/((-3)\/(-15)). Solve -f*a = -3*g + 12, -g - 4 = -3*g for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {w: 5}. Give prob of picking 4 w.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Sum -24368103773626.9 and 5.\nAnswer: -24368103773621.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let n(q) = -5*q + 22. What is the least common multiple of 3 and n(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 6, y: 4}. What is prob of picking 2 y and 2 z?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 890, -5065, -15004, -28939, -46882, -68845, -94840, -124879?\nAnswer: -158974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of a*g*z**3 + 14*a*g*z + 6*a*g - a*z - 3303*g*z**3 + 5*z**2 wrt z.\nAnswer: 6*a*g - 19818*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(n) = -3*n + 128. Let t be r(42). Suppose -5*d - t*d + 21 = 0. Solve 2*v + 2 = 4*f, -3*v + 4*v - 1 = d*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 4? (a) 24 (b) -2 (c) -0.1 (d) -0.011 (e) 21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 1615078179?\nAnswer: 3, 11, 13, 29, 109, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7330751?\nAnswer: 19, 353, 1093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1 + 0.22. Let n = -0.19 - y. Let r = 0.49 - n. Which is bigger: r or 0.45?\nAnswer: 0.45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000013052017078 rounded to 6 decimal places?\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = 3*z - 3. Calculate f(-1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(c) = 4*c**2 - 2*c + 2. Let m(b) = -3*b**2 + 2*b - 2. Calculate -3*m(x) - 2*p(x).\nAnswer: x**2 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*(sqrt(96) + sqrt(96)*-1)\/sqrt(3))\/(sqrt(400) + sqrt(400) + (sqrt(400) - ((-6*sqrt(400)*-1 - sqrt(400)) + sqrt(400) - sqrt(400)))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q(n) = -89*n**2 + 9*n - 8. Let k(a) = 104*a**2 - 8*a + 9. Let g(f) = 5*k(f) + 6*q(f). Let r(j) = -5*j**2 + 5*j - 1. Give -3*g(u) + 8*r(u).\nAnswer: 2*u**2 - 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 4*t - 2, 1 = -7*o + 8*o. What is the common denominator of (-31)\/(-19) - (0 + 3 + t) and -41\/209?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 8 or -27?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (172 + -121 - 61) + 45?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -101111001110110010 (base 2) in base 14?\nAnswer: -50706","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from pppppappppapbp. What is prob of picking 1 b and 1 p?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((3*(sqrt(119) + sqrt(119)*-2 + sqrt(119)))\/(sqrt(7) + sqrt(21)\/sqrt(12)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 15985*x + 127363. What is h(-8)?\nAnswer: -517","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (-764 - 670 + 434 - u)*(2 + 0 - 1) in the form y + v*u and give y.\nAnswer: -1000","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 2:57 AM and 12:04 PM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*i = -2*s + 12, 2*s + 8*i - 4*i = 14. Suppose 4*k = s*k + 1. What is the remainder when -1 - k*-1*37 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: 138734133.07911+-0.2\nAnswer: 138734132.87911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*r + 2*r - 5*h - 47 = 0, 46 = 2*r + 2*h. Calculate the smallest common multiple of -3*(-2 + (-6)\/(-9)) and r.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -10*n + 14*n - 40 = 0 for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -79324*x + 1716 = -79376*x for x.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2532613922 to four decimal places.\nAnswer: -0.2533","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 313 minutes before 10:05 AM?\nAnswer: 4:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is 14.752 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let l be (28\/42)\/((-2)\/(-12)). Suppose -l*o + 13 = -3. Suppose -105 = -8*x - 73. Solve 2*m = 3*p + 19, -4*m = o*p - x - 4 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/(-4)*(-48)\/24?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1564925, -3130091, -4695261, -6260435, -7825613?\n\"Answer: -2*k**2 - 1565160*k + 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-2)\/(-5) + 612\/45. Let a(z) = 37*z - 22*z - 14*z + 7. What is the remainder when 144 is divided by a(k)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -5\/184 and -87\/46.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(d) = -d**2 + d**3 + 2848834*d - 2848834*d - 2. Let v be (-2 - -3)\/((-2)\/(-4)). Give i(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -311.0874 - -311. Round u to two decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*k + 4*p + 944, k + 2*k - 3*p - 567 = 0. Suppose -5*m - 220 = -5*l, -l - 3*l - 2*m = -k. Suppose y = -12 + l. Does 5 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -4 + -1.939.\nAnswer: -5.939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let i = 30 + -37. Suppose 0 = -2*r - 3*z + 7, r + 3 = 4*z + 1. Which is the closest to r? (a) 0.1 (b) -4 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -6 + 2 + (10 - (19 - 5)) - (16 + -125).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let r be 1\/3 + 35\/21. Suppose r*q + 2*q = 3476. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -2 from 0.14544878371404.\nAnswer: 2.14544878371404","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 21*(1376\/(-224))\/(-43)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*k + 6*h + 54 = 3*h, 0 = -2*h. Calculate the remainder when 207 is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 28 - 9. What is the derivative of 20*o**4 + 4*o**4 - 10*o**4 + r wrt o?\nAnswer: 56*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 + 2)\/((-7)\/(-21)*-3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = -r**2 - 9*r + 1. Let d(y) = 3*y + 16. Let x(w) = 2*w + 8. Let g(i) = 6*d(i) - 10*x(i). Let a be g(11). What is the tens digit of l(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 3\/(-4) + (-42)\/8. Let a be (2\/f)\/((-3)\/18). Suppose 0 = -4*m + a*m + 20. Calculate the least common multiple of m and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(p) = 9*p**2 + 99*p - 10. What is the remainder when o(-14) is divided by 74?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: (((-810)\/(-48))\/45)\/(((-825)\/(-20))\/5)\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 4434\/504 - (-4)\/14 and 73\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 202 + -300. What is the lowest common multiple of 6 and (-28)\/k - 66\/(-14)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -11*k + 10 + 122. What is the third derivative of -18*s**2 - k*s**4 - 6*s**4 - s**4 + 2*s**4 wrt s?\nAnswer: -408*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (5812\/16)\/((-13)\/(-156)) - -7 a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -2*k**2 - 5*k - 2. Let j be (-5 - -4) + 0 + -2 - -11. Let a(x) = -9*x**2 - 11 + 8*x - 2*x + x**3 + 3*x. Let p be a(j). What is f(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -166\/297 + 20\/27. Suppose 2*m - 2*s - 119 = -13, -m - s + 61 = 0. Suppose -5*r + m = -18. What is the common denominator of r and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = 13*v**3 - v**2 + 7*v + 5. Let k(x) = x + 1. Let c(t) = 6*k(t) - z(t). Suppose -5*n - 17 = 3*h, 2*h + 5 = -h - 2*n. Calculate c(h).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 330036?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Put -32.7, 3\/7, 37 in ascending order.\nAnswer: -32.7, 3\/7, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = x**2 - 2*x + 6. Let j = 10 - 10. Suppose j = 4*y - 5*m - 2, 2*y - 4*m - 2 = -2*m. Let v be a(y). Calculate the greatest common divisor of 72 and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = 12*u - 224. Let a be k(19). Let o(s) = -13*s**2 + 9*s**2 + a*s**2 - s**2 + 4 - 6*s. Give o(4).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 z and 1 f when two letters picked without replacement from dwhdddhffddddffdzhzh.\nAnswer: 4\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2833487 is divided by 2825.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 11, 46, 95, 164, 259, 386, 551, 760?\n\"Answer: n**3 + n**2 + 25*n - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/14 in 0.7, -18, 16.8, -5?\nAnswer: 0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -10111100110001 (base 2) in base 15?\nAnswer: -38a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.0537971 - 2.69950177.\nAnswer: -2.75329887","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let o(l) = l - 6. Let k(f) = 5. What is 4*k(p) + 3*o(p)?\nAnswer: 3*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 344 and 43.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = 113 - -102. What are the prime factors of r?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 37916848961 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 8.1 in 22, 1\/4, -0.1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 480589070 to the power of 1\/2, to the nearest integer?\nAnswer: 21922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {q: 2, i: 2}. What is prob of picking 2 q?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (2240\/24)\/14*(1 + 28\/20).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 25.531 and -3?\nAnswer: -76.593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y - 4*y - 35*j + 34*j = 5*y + 307, 5*y + 319 = 3*j for y.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 1\/4, -3, 137, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 59\/4 of a milligram in micrograms?\nAnswer: 14750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find t, given that -3*t**4\/4 + 33*t**3 - 444*t**2 + 1404*t + 4860 = 0.\nAnswer: -2, 10, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express -30*r**3 - 27 + 9 + 5*r + 5 + 11 as i*r + h*r**2 + c*r**3 + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 1961, 2997, 4049, 5111, 6177, 7241?\nAnswer: 8297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (-7 - -1) + (-1485)\/(-450) and 111\/836.\nAnswer: 4180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 15 - (113 - (19 - -31))?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k\/(k\/k**(7\/3)))**(-6\/7)*k**(-2\/21)\/(k**(2\/43)*k) assuming k is positive.\nAnswer: k**(-2837\/903)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let r = -440 + 441. Let d = -0.08 + -3.92. Put r, d, -3\/4 in decreasing order.\nAnswer: r, -3\/4, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 12 divide 65986332?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = q - 5. Let l be z(5). Suppose -3*h - 6 = -5*k, 0 = 2*h - l*h + 4*k - 18. Suppose 4*a = -4*t, -3*a - 4*t = -h*t - 4. Solve -4*v = -a*v + 10 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 38 * 0.03.\nAnswer: 1.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 38*z**3 - 53*z**3 - 40*z**3 - 48*z**3 - 13*z**3.\nAnswer: -116*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 27 - (3 - 9 - -35)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2 + ((sqrt(176)*4 + -5)*-1 + -5 + 4*sqrt(176) + 4)**2 + -4.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Express 0*l**2 + 18*l + 2*l**2 - 6*l**2 - 14*l + 2*l**2 as x + a*l**2 + b*l and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 396\/(-96) + 16 - 12?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let y(i) = i. Let m(j) be the second derivative of j**5\/10 - j**2 - 11*j. Let d(p) be the first derivative of m(p). Determine y(d(q)).\nAnswer: 6*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 114696 and 299720?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a = 11 - 6. Find the second derivative of a*v - v - 2*v**4 - v wrt v.\nAnswer: -24*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7112.465 centuries to millennia.\nAnswer: 711.2465","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 376 minutes after 3:58 PM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from keddedkk. What is prob of sequence kekd?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 + -13027?\nAnswer: -13025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve -781*u + 1530*u + 144 = 818*u + 6 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: -50058801.15 - 0.4\nAnswer: -50058801.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -15*s**2 - 24 - 2*s**2 + 3*s - 9*s. Let k be z(-3). Does 34 divide 32\/(-12)*(k\/2 + 3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (20\/35)\/(5\/(-7) + 1). Let k(f) = -5 - 30*f + 12*f + f**3 + 4 - 5*f**m + 11*f. Suppose 2*s - 2 = 10. What is k(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide 217601?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-three quarters of a meter in millimeters?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(c) = -c**3 - 6*c**2 + 4*c + 44. Calculate the remainder when f(-9) is divided by 15.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3151743.\nAnswer: 3, 7, 150083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 616 - 80 = 2*c. Suppose c*y + 3950 = 278*y. Calculate the remainder when y is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 5 + ((-12)\/6 - -3). Let b(x) = -20*x + 117. Let k be b(s). Let t(j) = 2*j - 7. What is t(k)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 z and 1 s when three letters picked without replacement from {z: 3, c: 2, s: 1, k: 4, l: 1}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -511382646 - -0.408632?\nAnswer: -511382645.591368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = q - 1. Let f be 433\/3 + 1\/q. Suppose 4*x = -40 + f. What is the highest common divisor of x and 39?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -3, 3, -2\/7, -2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -873 or -275048\/315?\nAnswer: -275048\/315","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 3*c + o - 15, -5*c + 2*o + 3*o + 5 = 0 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0892369 rounded to two decimal places?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 10363 or 10360?\nAnswer: 10363","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r*r**(-5\/4))\/(r\/(r*r**4)*r))**(1\/41)*((r*r**(-5))\/(r\/(r**(-6)\/r)))\/(((r*r**(3\/4)\/r)\/r)\/(r\/(r*r**(-4\/5))*r)) assuming r is positive.\nAnswer: r**(-2026\/205)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -4 - 22?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence jkt when three letters picked without replacement from {t: 2, j: 13, k: 3}.\nAnswer: 13\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Round 0.000009037 to six decimal places.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 110 + -1002220102111?\nAnswer: -1002220102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -2767156 and -219364?\nAnswer: 2547792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let s(p) = 645*p - 21066. Give s(33).\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**3\/(a*a\/a**(-6)*a))**(-30))**(-3) assuming a is positive.\nAnswer: a**(-540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is -315 + 234421?\nAnswer: 234102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -145, -271, -385, -481, -553?\n\"Answer: d**3 - 133*d - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000062999354 to five decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let p = 1.934 + -0.934. Is -1249\/2 > p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(a) = a + 9. Let w be t(-9). Solve -i - i = w for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -21? (a) -2 (b) -76 (c) -0.3 (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that u**4\/11 + 37*u**3 + 809*u**2\/11 - 37*u - 810\/11 = 0.\nAnswer: -405, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 146.5 rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d be (-8)\/12 + (-1)\/(-2). Let f = 239 + -235. Which is the nearest to -2? (a) d (b) 0.4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the fth term of 1692, 3427, 5162, 6897, 8632?\n\"Answer: 1735*f - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d**(-5)\/(d**(-8\/7)*d))\/(d**(2\/5))**12)**6 assuming d is positive.\nAnswer: d**(-2028\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = 29*k - 91. What is s(5)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -12942 + 12940. Is x not equal to 3\/530?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-76)\/133)\/(1062\/(-210) + 5). Solve 3*v = 4*s - l, -5*s + 2 = -33*v + 31*v for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -l**3*q**2 - l**3 - 23*l**2*q**4 - 2*q + 42 wrt q?\nAnswer: -2*l**3 - 276*l**2*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Add -0.02810824 and 23090.\nAnswer: 23089.97189176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (1\/21)\/((-4)\/8)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 216 = -5*z + 3*z, -2*z - 2*l = 214. Let d be 2\/((z\/115 + 1)\/(-7)). Round d to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {w: 9, a: 1, k: 1}. Give prob of sequence wkw.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.01 - 0.03. Sort -0.4, -0.3, a, 0.1.\nAnswer: -0.4, -0.3, a, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:59 PM and 10:13 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -1102221 (base 3) to base 7.\nAnswer: -3031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 291212 is divided by 61?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, i: 1, c: 1, n: 4, h: 3}. What is prob of picking 1 x and 1 i?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g**(-7\/2)\/g)\/g)\/(g*(g**3\/g)\/g)*(g*g*g\/(g**(-2\/75)*g*g))\/((g**(-13\/5)*g)\/g) assuming g is positive.\nAnswer: g**(-581\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 2202817 to the nearest integer?\nAnswer: 1484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y = 2\/13545 - 275417\/13545. What is the common denominator of y and -47\/897?\nAnswer: 897","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*k - 584 = -10*k + 3*f, 3*k - 838 = -5*f. Suppose -105*c = -83*c + k. What is the second biggest value in c, 3, -4, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 181403500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 45 + 32 = -11*a + 11 for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q = 5*a - 70, -7*q = 3*a - 3*q - 68. Suppose 0 = 5*u - 0*u - 5, 3*n - 3*u = -15. Let m = a - n. Does 10 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -623*z - 899*z - 36528 = 0 for z.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 84*u = 57*u - 87*u + 99180. Calculate the highest common factor of u and 60.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 617061 and 213.\nAnswer: 213","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -73\/404 and 25\/37413.\nAnswer: 15114852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -51, -200, -449, -798, -1247, -1796?\nAnswer: -2445","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 2424335 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y = 4 - 16. Let s = -11 - y. What is the nearest to s in 2\/9, 1\/8, -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -9*j + 2. Let k be q(-6). Let l(n) = 4*n + 16. Let h be l(-10). Let v = k + h. What are the prime factors of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 12632 is divided by 4207.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1117875 is divided by 367.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 2, p: 1, n: 2, j: 5, s: 4, m: 1}. What is prob of sequence mjn?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of -235930978, -235930992, -235931022, -235931074, -235931154, -235931268, -235931422, -235931622?\n\"Answer: -h**3 - 2*h**2 - h - 235930974","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -g - g - g + 0.\nAnswer: -3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-15)\/(-12))\/((-3)\/(-60)). Let d = -14 + s. Suppose -x - 5*v = 0, -2*v = -0 + 4. Calculate the lowest common multiple of x and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 43 + 62. Let o be ((-3906)\/d)\/(6\/(-100)). Round o to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -318*h**2 + 47 - 24 - 24.\nAnswer: -318*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the third derivative of c**7\/630 + c**6\/9 + 23*c**5\/60 - 131*c**4\/36 + 76*c**3\/9 - 520*c**2. Suppose r(n) = 0. Calculate n.\nAnswer: -38, -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 661956 is divided by 871.\nAnswer: 867","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let y = 7 - -17. Suppose -i + 4*i + y = 0. What is the lowest common multiple of 2 + 0 - (i - 1) and 4?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6521 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Expand -2 - 2*c - 29*c**2 - c**3 + c + 7*c**2 + (2 - 2 - c**3)*(78 + 26 - 12).\nAnswer: -93*c**3 - 22*c**2 - c - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -5*j**2 + 5*j - 5. Suppose 0 = -6*k - 6*k + 12. Let z be (7 - k)*(-1)\/1. Let w(o) = -5*o**2 + 6*o - 6. Calculate z*l(c) + 5*w(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 13757774?\nAnswer: 2, 29, 237203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let c(s) = -25*s + 2446. Give c(76).\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -24 = -4*n, -46 + 4 = -2*u - 2*n. Suppose -2*d = x - 8, -3*x = 4*d - d - 21. Which is smaller: x or u?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -4*u**4\/7 - 5204*u**3\/7 - 1695200*u**2\/7 - 1690000*u\/7.\nAnswer: -4*u*(u + 1)*(u + 650)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Sort 2\/5, -4, -5, -1\/8.\nAnswer: -5, -4, -1\/8, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Express -4 + 4 + 18*a**2 + 19*a**2 in the form m*a + i + t*a**2 and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*f**3 + 5*f**3 + 3*f**3 + 23882 - 2*f**3 - 23797.\nAnswer: 3*f**3 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is ((-6)\/(-55))\/(33\/55)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*l + 2 = 362. What is the tens digit of (7 + 40)\/(4 + l\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -9 >= -155\/19?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.093 - 10.\nAnswer: -9.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -78b1 (base 16) in base 4?\nAnswer: -13202301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate -55*-218.\nAnswer: 11990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 947 is divided by 118\/3 + (-252)\/189?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 170 a factor of 162144300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.75 + -0.75. Let s = -35.5 + 35.9. Let b = 0 - 1. What is the closest to b in 5, a, s?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -246*d - 7498 + 16600 = 0 for d.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = 27*v**2 - 815*v + 2945. What is g(26)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Convert 352 (base 6) to base 4.\nAnswer: 2030","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 1557, 3112, 4667, 6222, 7777, 9332?\n\"Answer: 1555*j + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:44 PM and 5:04 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose d + 3*k - 2534 = 0, -12634 = -80*d + 75*d + 3*k. Calculate the remainder when 5061 is divided by d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be 6 - ((-8)\/4 - -3). Suppose -4*u - 5 = v + m, u = -3. Suppose v*q + 2 - 6 = 0. Solve 0 = q*a - 5 - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 8 - (10 + 3) - -2 - (-9 - 0)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 48651 (base 13) in base 9?\nAnswer: 222266","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1151*l**2 - 1115*l**2 + 2673*l**2.\nAnswer: 2709*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Convert 824.2379 hours to microseconds.\nAnswer: 2967256440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3\/2 in -10, 1\/17, 4, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5 - -13. Let t be (-1 - 67)*9\/4. What is the least common multiple of t\/(-15) - (-1)\/(-5) and v?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 51 + (-113 - (11 + -41)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-6)\/(-33) - (-8)\/(-44))\/1. Suppose -2*l + 1502 = 5*r, g*l - 3*l + 2*r + 2215 = 0. What are the prime factors of l?\nAnswer: 3, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 5 (b) -13\/33 (c) -65\/63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k(f) be the third derivative of f**6\/720 + f**5\/60 + f**4\/16 + 23*f**3\/6 - 15*f**2. Let q(c) be the first derivative of k(c). Find v such that q(v) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*m + m + 30 = 0. Let l(w) = 4*w - 9 + 3 + w + 7*w**2. Let i(c) = 8*c**2 + 6*c - 7. What is m*i(g) - 7*l(g)?\nAnswer: -g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 23099, 18714, 14329?\n\"Answer: -4385*c + 27484","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 88262 greater than 88223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 38897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -2*u**2 + 0*u**2 - 9*u**2. Let f(w) = 150140 + 14*w**2 + 150147 - 300287. Determine f(b(t)).\nAnswer: 1694*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2273?\nAnswer: 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 42 and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(r) = 3*r - 4. Let u(h) = h**3 + 7*h**2 + 4*h - 7. Let w be u(-6). Let p(i) = -1. Calculate w*p(t) - y(t).\nAnswer: -3*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q = 56.5 - 56.8. Which is the third biggest value? (a) 4 (b) 3\/2 (c) 1 (d) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6 + 27 - 3)*(-2 + 2 - 2*y**2) - 6*y**2 - 4 + 5*y**2 + 3*y**2.\nAnswer: -58*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -157\/1759818 and -113\/216118.\nAnswer: 12318726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 39329 and 2479.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {i: 2, k: 1}. Give prob of sequence ki.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -688 = 4*q + 4*a, -4*q - 5*a = 407 + 277. Calculate the common denominator of (254\/48)\/(1\/(-2)) and ((-429)\/q)\/(9\/4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 209016600?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 64580 to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 19*g**3 - 4*g**3 + 28*g**3 - 3*g to o*g**3 + w + l*g + q*g**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 723*i*j**3*k*q + 4*i*j*q + 4*j**3*k*q + 6*j**3*k + 37*j**2 + 2*k with respect to i.\nAnswer: 723*j**3*k*q + 4*j*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 39 = 4*w + 19. Let q = -6 - -24. Suppose w*d - q = 2*d. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*t + 1 - 1)*(478 - 2*t - 2*t - 503)*(-3*t + 4*t + 1 + t).\nAnswer: 24*t**3 + 162*t**2 + 75*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.041 - -13.959. Let c = q - 11. What is the closest to -1 in 1\/7, -2\/5, c?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be (322\/(-23))\/(2\/426*-2). Let i = c + -928. Find the third derivative of 563*k + 11*k**2 - i*k + 15*k**4 wrt k.\nAnswer: 360*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k be 159500\/(-26625) - (2 + -8*1). Suppose -5 + 1 = -4*s. Is s < k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10361.\nAnswer: 13, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i(f) = -5*f**3 + f + 1. Let j be i(-1). Suppose -j*s + 4 = 5*o - 1, -3*s = -o + 1. Is o\/(-3) + 160\/12 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 7792\/19 - 410. Let g = -473\/8 + 59. Which is the nearest to 2\/5? (a) g (b) f (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p**2 + 2*p - 9. Let a be (2 + -11)*12\/(-36). Let b be f(a). Solve -6*j = -0 + b for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -431661 + 431617.0021. Let f = m + 44. Round f to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 4240, 16921, 38056, 67645, 105688?\nAnswer: 152185","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Express (-t**2 - 6*t**2 + 5*t**2)*(-2 + 3 + 0)*(0 + 4*t + 0) as w*t**2 + b + n*t**3 + f*t and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Express 2 - 1343*a**3 + 11*a - 5 + 3 - 8*a in the form r*a + h*a**2 + g*a**3 + i and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) be the first derivative of -s**5 - 159 + 5\/4*s**4 + 0*s + 15\/2*s**2 + 25\/3*s**3. Factor r(v).\nAnswer: -5*v*(v - 3)*(v + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1040.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*-1*sqrt(176)*2)**2 + 0 - (sqrt(176) - (sqrt(176) + -1 + -2)**2 - 1*-3*sqrt(176)).\nAnswer: -40*sqrt(11) + 25529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let x = 13775 + -13772. Sort x, -35, -3, -4, 2 in descending order.\nAnswer: x, 2, -3, -4, -35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-21)\/(-35) - (-2)\/2 - 1. What is the third biggest value in q, -1, -0.2, 0.3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -38 + 38. Suppose -4*h + 304 = 4*d, 4*h + u*h - d = 289. List the prime factors of h.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: 0 times 6740976\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let i be (0 - -127) + -1 + -1. Suppose 10 - i = -5*p. Let l(s) = -s**2 + 7*s - 4. What is the remainder when p is divided by l(4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -11\/20 in -0.02, 0.1, 5, 1?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 34300 a multiple of 175?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (-14*l - 291 + 291)*(-5 + 0 - 5)*(-l - 2*l + 4*l).\nAnswer: 140*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 2068068 and 2530.\nAnswer: 113743740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 6 = 12. Let c be (4 - 5) + 0 + 0 + 3. Let a(f) = 2*f**2 + c*f - f**2 - 5*f - 2 + f. Determine a(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00030934 rounded to five dps?\nAnswer: 0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*h*m**5 - h*m**3 - 49*h*m + 437*m**4 - 8*m wrt m?\nAnswer: -40*h*m**3 - 6*h*m + 5244*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let m(v) = -32*v**2 - 15*v + 8. Let l be m(-17). List the prime factors of l\/(-27) - (-22)\/99.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = -878 - -873.976. Let v = -0.024 - n. What is the third smallest value in v, -0.04, 2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 3657674802 and 12322?\nAnswer: 12322","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 34 is divided by ((-1)\/2)\/(1*(-1)\/18).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 7\/(-20)*(-27)\/((-2268)\/24)*12.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is (40\/76)\/(102\/646)*(-351)\/(-15)?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*d**2 - 4*d**2 + 3*d**2)*(2 - 2 + 3*d**2)*(8 - 8 - 7*d).\nAnswer: 21*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -102021 - 332120201?\nAnswer: -332222222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 52*o. Let t(r) = 17*r**2 + 66*r + 11. Let f(d) = -6*d**2 - 24*d - 4. Let l(u) = 11*f(u) + 4*t(u). Calculate j(l(a)).\nAnswer: 104*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i = -5*p - 6 + 16, -5*i - 10 = 5*p. Solve -k - 2*a + 2 = p, -k + a - 5 = -1 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 136 = 2*c - 6*c + 4*n, 3*c = -3*n - 132. Let k be c\/(-7) - (-24)\/(-42). Solve 1\/3*i**4 + 0 - 1\/3*i**k - 1\/3*i**2 + 0*i + 1\/3*i**3 = 0 for i.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -14281 + 14294. Calculate the greatest common factor of 227 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f**3\/3 + 4*f**2\/3 + 19*f\/3 + 14\/3 = 0. Calculate f.\nAnswer: -2, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let x = -21 - -11. Let m = x + 41. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-44032)\/(-1462) - (38 - 8).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) be the second derivative of c**9\/756 - c**6\/360 + c**3\/2 + 2*c. Let h(n) be the second derivative of j(n). What is the third derivative of h(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*z + y - 3*y + 12 = 0, 0 = -3*z - 2*y + 7. What are the prime factors of 66\/(z + (-28)\/6)?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3367\/2, 3, -0.2, 18, -1, 2\/27.\nAnswer: -1, -0.2, 2\/27, 3, 18, 3367\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 18*b**2 + 100*b**3 + 19*b**2 + 157*b - 58*b**2 + 21*b**2 + b**4 wrt b?\nAnswer: 12*b**2 + 600*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 480244*i - 42 = -4*v + 480245*i, 22 = 3*v + 4*i for v.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 137 is divided by 47.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 1 = 3*c + 2*a - 22, 2*c + 2*a - 18 = 0. What is the units digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*b - 5*m = 20, 3*b - 34 + 45 = -2*m for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -133 + -303010032303?\nAnswer: -303010033102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 718912 to the power of 1\/2, to the nearest integer?\nAnswer: 848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 5*1136\/40 + (0 - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-x**3 - x + x)*(62*x**2 + 66*x**2 - 28*x**2 + (0*x + x - 5*x)*(-18 + 18 + 9*x)).\nAnswer: -64*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 697 minutes before 5:54 AM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) = -45*l**2. Let z(r) = -9*r**2 - 8*r**2 + 3*r**2 + r**2 - 18*r**2. Calculate z(c(m)).\nAnswer: -62775*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p(x) = 143177*x**2 - 4*x - 4. Is p(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(5 + 1*sqrt(396)*4 + sqrt(396)))**2.\nAnswer: 2700*sqrt(11) + 89325","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 187*c + 3*c**2 + 38*c**3 - c**2 - 359*c + 172*c.\nAnswer: 38*c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(k) = k**3 + 28*k**2 - 190*k + 78. Determine w(5).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -72022*h**4 + 112202 wrt h.\nAnswer: -288088*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6644 + 6639.953. Let s = -0.047 - q. Which is the closest to s? (a) -1\/2 (b) -2 (c) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (7\/21)\/((-2940)\/7840)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -14, -3, 0, 2, 2092, 4 in increasing order.\nAnswer: -14, -3, 0, 2, 4, 2092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 23476174.\nAnswer: 2, 11738087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let d = 53 - 52. Let j be 1\/1 + 110\/(-30). Sort d, -1\/6, j, -0.5 in increasing order.\nAnswer: j, -0.5, -1\/6, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(u) = -7*u**2 - 4*u - 1. Let q be -5*(-12)\/(-15) + 9. Let z(m) = 10*m**2 + 6*m + 2. Calculate q*z(b) + 7*f(b).\nAnswer: b**2 + 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in thirteen fifths of a litre?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 10*v**4 - 22*v**3 + 28*v**2 - 16. Let z(x) = 3*x**4 - 7*x**3 + 9*x**2 - 5. Let b(q) = 5*i(q) - 16*z(q). Factor b(y).\nAnswer: 2*y**2*(y - 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 385371427 and 730499.\nAnswer: 4239085697","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-90)\/(-18) - (-5 + 2). Suppose 0 = u*b - 132 - 84. Calculate the remainder when 51 is divided by b.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z**(-1\/5)\/((z*(z\/(z**3\/z))\/z)\/z))**(2\/9))**(14\/9))**(-5) assuming z is positive.\nAnswer: z**(-28\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-18 - 5510\/(-304))*-12. Let c = -51 + 24. What is the third smallest value in -4, c, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**15*t*t**(-2\/9)*t*t)\/(t**(3\/5)\/(t**(-9)*t)) assuming t is positive.\nAnswer: t**(413\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 18513 and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Expand 15*y**2 + 6*y**4 - 15*y**2 + (y**2 - y**2 + y**2)*(y**2 + y + 3*y**2 - 2*y**2).\nAnswer: 8*y**4 + y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j = -1.7 - 1.3. Let o = -0.04 + 0.04. Which is the closest to j? (a) -2\/11 (b) 5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 79*t**3 + 4*t**2 - 203*t**3 + 6 + 4*t + 123*t**3. Calculate k(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} {"text":"Question: What is 120 minutes after 11:42 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -3 (base 7) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 10 (b) -5\/3 (c) 4 (d) -5257\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let k = 14 - -15. Suppose -4*p = -k - 87. Suppose 90*h - 902 = 8*h. What is the remainder when p is divided by h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 123 minutes before 9:41 PM?\nAnswer: 7:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + 4*n - 3*m - 1278 = 0, -4*m = 10*n - 6352. Does 76 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8940769 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 97559547 to the power of 1\/3, to the nearest integer?\nAnswer: 460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 476\/6 - (-6)\/9?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 255713*l**3 - 154396.\nAnswer: 767139*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 787080746?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*t - 6 = 4*j, 3*j - 5*j - 10 = 6*t for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence llh when three letters picked without replacement from {w: 1, l: 1, p: 1, m: 2, h: 1, t: 2}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 413 and 612361.\nAnswer: 4286527","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = 3*m**2 - m**2 - 3*m**2. Let d = -13 + 15. Let v(u) = -5*u**d + 10*u**2 - 3*u**2. Give v(f(y)).\nAnswer: 2*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(l) = 5 + 3*l - 23*l**2 + 22*l**2 - 7*l. Let g be k(-5). Solve 1\/3*b**2 + g*b + 0 + 1\/3*b**3 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*j + j + 4*j)*(11*j**4 - 7*j**3 + 7*j**3) + (j**5 - 7*j**5 + 4*j**5)*(-14 - 29 - 4).\nAnswer: 149*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*sqrt(252)\/sqrt(4) - (-5 + (5 + sqrt(7) + 5 + sqrt(7))**2).\nAnswer: -123 - 34*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence nss when three letters picked without replacement from ssnsnnnnnnnnnnnnnns?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 7860532222 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f + 3*b = -1884, 8 = -3*b - 1. Calculate the greatest common divisor of 5 and f.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = 6 + 2. Let z be j\/44 + 4612\/44. Suppose -2*b = b - 2*v - z, -34 = -b + v. Round b to the nearest 10.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = -4*g - 45. Let y be q(-17). Suppose -14*h = 33 + y. Is (-1066)\/h*4 + 3 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be ((-3)\/4)\/(1\/12). Let i(d) = d**2 + 7*d - 13. Let k be i(w). What is the highest common divisor of k and 50?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 31, 121, 305, 613, 1075, 1721, 2581, 3685?\n\"Answer: 5*y**3 + 17*y**2 + 4*y + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o = 0, 4*b + o + 12 = 5*o. Suppose 2 + 22 = -6*k. Sort k, -1, b in descending order.\nAnswer: -1, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(p) = 245*p - 2420. Give j(10).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -4*u**3 - 41*u**2 + 291*u + 2336. Give p(-12).\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*x - 24 = -24 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 = l - 3*g, 3*l + 20*g - 24*g - 58 = 0. Let m = 24 + -2. Let d = m - l. Solve -d*z + 2*c = -4, -3*z + c + 5 = -c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(l) be the third derivative of l**5\/45 + 2*l**4\/3 + 70*l**3\/9 + 43*l**2 - 3. Factor h(p).\nAnswer: 4*(p + 5)*(p + 7)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 4 - 46. Let f(t) be the second derivative of -t**3\/6 + t**2 + t. Calculate the smallest common multiple of f(m) and 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -25*j**3 + j**2 - 2*j + 117 wrt j?\nAnswer: -150*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: -4422 (base 5) to base 4\nAnswer: -21210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0 - (-4 + 9) - (2 - 13) - (-398 - -335).\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3\/2 in -5, 0.03872, -2\/13, -3?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10*-22076515.\nAnswer: -220765150","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Does 167 divide 32732?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (z**2\/((z\/z**(2\/5))\/z))\/(z**5*z**(1\/8)\/z) assuming z is positive.\nAnswer: z**(-69\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -779*t**3 - 231352 + 462705 - 231353.\nAnswer: -779*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let a = -122\/707 + 3\/101. Let u be (-1 - 5)\/(-3) - 1. Put a, -0.4, u in increasing order.\nAnswer: -0.4, a, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(w) = 4*w - 6. Let z be o(-6). Let b = -6 - z. Suppose -b = -2*i - i. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from {a: 2, w: 1, j: 5, v: 1, t: 6, l: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -1\/3 in 4, 2\/11, 5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 4635 - 2703. Is 14 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:41 AM and 10:48 AM?\nAnswer: 547","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let q(s) = s - 2. Suppose 5*x = 0, 2*d - 2*x - 2 = 2. Suppose 0 = -d*o + 1 + 1. Let z be q(o). Is 6\/13 smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1126703 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((c*c**(-1\/2))\/(c**(3\/2)\/c*c*c))**27\/(((c\/(c**(-1\/5)*c))\/(c**(-3)*c))\/(c**(2\/7)\/c)**3) assuming c is positive.\nAnswer: c**(-2042\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -122237*r**3 + 95*r**2 - 969874110*r wrt r?\nAnswer: -733422*r + 190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Expand (-t**2 + 4*t**2 - 2*t**2)*((-1 + 0 + 0)*(-4 + 5 + 12) + (-10 + 20 + 14)*(4 - 2 - 4 + (1 + 2 - 5)*(0 - 4 + 2))).\nAnswer: 35*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (2 - 1)*(152 - -8501)?\nAnswer: 17, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.5, -2, 0, 2\/3065, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round -9293.85 to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v - 24*r = -23*r + 18409, -12278 = -2*v - 2*r. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -296857 + 75*a + 296857 as q*a + h and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1 - 3 + 0 + 4*s - 6*s**2 + 5*s**2 to u*s + z*s**2 + c and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*c = -2*y - 146170, -4*c + 9*c - 4*y = 146180. Is 21 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2607374?\nAnswer: 2, 7, 11, 16931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7 - 2. Suppose -i*r - 2 + 7 = 5*s, 0 = s + 2. Let l be (-6)\/18*6*-2. Put l, -0.5, r in decreasing order.\nAnswer: l, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(v) = v + 2. Let u(c) = -c**3 + 28*c**2 - 131*c - 21. Let k be u(22). Calculate n(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = 173*p - 6. Let o(b) = -341*b + 11. Calculate 3*o(l) + 5*y(l).\nAnswer: -158*l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -119\/1296 and 91\/1296.\nAnswer: 1296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -26972216799\/134 + 201286890. Let i = m + -1690. Let t = i - -257\/1474. Is -0.1 at most t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be (-2)\/8*6*-10. Let l = j + -2. Suppose 0 = -g + l - 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(z) = -z + 6. Let s be w(6). Suppose m = 5*u - 74, -4*u - 4*m + 40 = -s*u. Let l = 27 + -23. Solve 4*g = 2*q + u - 0, -2*q = l*g - 18 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*w = -5*n - 29, -w - 2*n - 1 = 10. Suppose 0 = 3*m - 10*m + 14. Put -5, m, w in descending order.\nAnswer: m, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from {n: 1, d: 1, l: 2, f: 1, s: 1, y: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -61*y - 64*y - 65*y - 56*y + 252*y.\nAnswer: 6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let o = 384 - 383.4. What is the smallest value in o, -26, -0.5?\nAnswer: -26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-45)\/(-6)*(-7322)\/2615?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -561 divided by 3\nAnswer: -187","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.4, -10, -1\/9, -0.8, 0.\nAnswer: -10, -0.8, -1\/9, 0, 3.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m*m**(1\/2))**(5\/19)*(m\/(m\/(m**(-1\/2)*m)))\/m**(-7) assuming m is positive.\nAnswer: m**(150\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 9.091837 years in months?\nAnswer: 109.102044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 8 and 416?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -4 times 0.034\nAnswer: -0.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 0.9892467 days?\nAnswer: 85470914880000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 166 and 16.\nAnswer: 1328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = -k**3 - 13*k**2 - 35*k - 125. Let v be i(-11). Let w be 4\/(-14) + 3026\/7. Suppose 0*y - 3*y = -w. What is the highest common factor of v and y?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from arrabrrarxbparrrr. Give prob of picking 1 b and 1 r.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let l = 7 + -11. Sort l, -3, -5 in decreasing order.\nAnswer: -3, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -2.4? (a) 544.195 (b) -3 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n = -5*b - 14, 2*b - 12 = -0*b - 4*n. Let d be -1 + (b + 3)*15. Is 11\/1 - d\/7 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1041 is divided by 387.\nAnswer: 267","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Express 12*d - d - d**4 - 164*d**2 - 3 + 5 - 598*d**2 - 13*d in the form u + k*d + x*d**4 + j*d**3 + o*d**2 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is 488 minutes after 4:50 PM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*t + s + 20, -2*s - 20 = -3*t + t. Suppose -4*m - 3*h = -4, -2*m - 2 = -2*h + t. Sort -1, 55, m in ascending order.\nAnswer: m, -1, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -850 in -10, 30, 1?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Find r, given that -2*r**2\/3 + 54316*r\/3 - 36208 = 0.\nAnswer: 2, 27156","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 l, and 2 m when four letters picked without replacement from {l: 2, m: 2, d: 1, h: 1}?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let w = -11290 - -11295.061. Let b = -0.061 + w. Are 21 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 132 divide 36564?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -6132*i**3 + 0*i + 0*i + 6205*i**3.\nAnswer: 73*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 0.308 (b) -0.1 (c) 3 (d) -3 (e) 2\/247 (f) 4 (g) -5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*w**3 - 1119*w**2 + 130665*w - 4540725.\nAnswer: 3*(w - 155)**2*(w - 63)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1402.695 + 1409. Round k to 1 dp.\nAnswer: 6.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1089 is divided by 120?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -110 (base 3) in base 13?\nAnswer: -c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand (-10 + 2*n + 10)*(0*n**2 - 6*n**2 + 4*n**2).\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5195081\/22141860 + -1\/85161. Let s = r + 1\/65. Which is the nearest to s? (a) -0.1 (b) -4 (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 365?\nAnswer: 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*t + 5*w - 1323 = -1348, 20 = -4*w for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Work out -3669 + 81539.\nAnswer: 77870","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + 20 - (-101 - -76)?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Express 4 - 6 + 16*p**2 - p**2 - 1 as d*p + c*p**2 + o and give c.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*v + 49*v = 1180. What is the hundreds digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-h**2 + 2 - 2)*(-2*h + 2*h + 2*h) + (h + 0 + 0)*(3*h**2 - 5 + 5) - h**3 - 2*h**3 + h**3.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.07201*0.3.\nAnswer: -0.021603","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -3\/2596, -152, 5\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = 16*w. Let o be z(1). Let l = o + -5. Solve 0 = 4*s - l - 5 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:54 AM and 4:48 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve k = -6, 1808*c + 12 = 1805*c - k for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*f = -2*y - 12, -2*y = -3*f + 3*y + 21 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1126\/285 or 5?\nAnswer: 1126\/285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -26*o - 5 + 1 + 17*o + 8*o. Give i(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -1\/69, -5, 2\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(i) = 91568*i**3 + 1164*i**2 - 1164*i - 3492. Let z(a) = 393*a**3 + 5*a**2 - 5*a - 15. What is 5*d(r) - 1164*z(r)?\nAnswer: 388*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 70279229 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -1779717, -1779719, -1779721, -1779723?\n\"Answer: -2*i - 1779715","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 859, 890, 953, 1054, 1199, 1394, 1645, 1958?\n\"Answer: v**3 + 10*v**2 - 6*v + 854","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = 0 - -0.019. Let m = d - 0.119. Put 2\/3, -11, m in increasing order.\nAnswer: -11, m, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 7.702443l to millilitres.\nAnswer: 7702.443","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 0.5 (b) -9\/5 (c) -2.87 (d) -216 (e) -1\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be (4\/110)\/((-12)\/66 + 168\/440). Which is the closest to 1? (a) -0.212 (b) n (c) -2\/9 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 14061?\nAnswer: 3, 43, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*d - 5*d + 58 + 3*d - 35.\nAnswer: -2*d + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let z(w) = w**3 - 15*w**2 + 2*w - 27. Let p be z(15). Solve -3*g - 8*g**p - 14*g + 13*g**2 + 7*g**2 + 4 + g = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 416 minutes after 3:47 PM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-2*x**3 + 3*x**2 - 3*x**2)*(10 - 30 - 4*x + 6*x) to b + c*x**3 + s*x + q*x**2 + v*x**4 and give v.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 46 a factor of 26792?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((o\/(o\/(o*o*o*o**(-2\/11)))*o)\/o)\/(o**(1\/6)\/o)*o**(5\/3)\/(o\/((((o**(2\/5)\/o*o*o)\/o)\/o)\/o)))**(-9) assuming o is positive.\nAnswer: o**(-2691\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -6, 4*i + 0*i - 526 = 2*u. Let x = -117 - u. Which is greater: x or 141?\nAnswer: 141","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 4927 divide 5832492434?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*i - 14 = d, -5*i + 14*d - 12*d = -13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 18 + -17. Let p be (2 + s + -4)*-8. Let g be (8 + 0)*162\/p. Calculate the greatest common divisor of 18 and g.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*t + 6 + 4 = 0. Suppose 0 = k - 3*k + t. Let v(f) = f**3 - f**2 + f - 1. Let q(x) = 2*x**2 - 56*x + 49*x + 3 - 3*x**3 + 3*x**2. Give k*q(w) + 5*v(w).\nAnswer: 2*w**3 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 9806579.\nAnswer: 23, 647, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*w - 10 = 0, -12*q + 14*q - 2*w - 8 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -332\/639, -2\/33, 0.2, -1\/4?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let n be 13\/(-26)*3*6\/9. Let t(k) = -2*k - 1. Let d be t(2). Sort n, 5, 2, d.\nAnswer: d, n, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -5\/7 (b) 0.2 (c) -2\/15 (d) -58.2 (e) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 24 = 4*o - 0*o. Let b be (-17487)\/(-335) - (-15 + 1) - 1\/5. Calculate the highest common factor of b and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1255 + -2576. Let v = 1324.071 + o. Round v to one decimal place.\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 121\/13032 and -31\/88?\nAnswer: 143352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -0.3 times 324\nAnswer: -97.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 12059.341 to the nearest 1000.\nAnswer: 12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -3\/16 and -75\/686?\nAnswer: 5488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (-4*f**4 + 0*f**4 - f**4)*(23 - 67 - 13).\nAnswer: 285*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let q(f) = -11*f**2 - 19*f - 71. Let z be q(-4). Suppose -726 = -3*c - 5*l, -3*c + 2*c + 253 = -2*l. Let o = z + c. List the prime factors of o.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) be the second derivative of -h**9\/2520 - h**7\/360 + 7*h**4\/12 + 6*h. Let u(f) be the third derivative of y(f). Find the third derivative of u(m) wrt m.\nAnswer: -144*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.159266 to three decimal places.\nAnswer: -0.159","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(f) = 67*f**2 + 4*f - 3. Let i be t(1). What is the greatest common factor of i and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 61 + -22 + 15 + -20.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 1845632900 to the nearest 1000000.\nAnswer: 1846000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) = 12*r**3 + r**2 - r + 1. Let b be a(1). Let y = 20 - b. Let c be 55\/35 - (-3)\/y. Solve -6 = -c*w - w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n - 75 = -5*i - 25, 0 = -4*i - 8. Let m be 3\/n*2*0. Let g = m + 12. Is g a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 101\/18 and 67\/1332?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s**3 + 12728*s**2 + 9308836*s + 9296112 = 0. Calculate s.\nAnswer: -2044, -1137, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let i be -7 - -9 - -94 - (1 - -2). Which is bigger: 83 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -247760 divided by 24776.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let v = 55748 - 22641. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n be (281 - -1) + (-47)\/(893\/(-114)). Let u be (15 - 1)*1\/2. Suppose y - n = u*y. What is y rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*t + 4*t - 3 = 0. Let g = t - -6. What is the smallest common multiple of 6 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-5*-3*sqrt(204))\/(sqrt(12) + sqrt(600)\/sqrt(2) - sqrt(12)))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let p = 14829.8197 + -14829. Let r = p - 0.82. What is r rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -1102*c**2 + 2103*c - 10. Calculate m(2).\nAnswer: -212","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w = -27788\/7 + 3962. Let b = 40 - 182\/5. What is the common denominator of w and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -330.074325552 + 1.93\nAnswer: -328.144325552","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is next in 1086, 1035, 984, 933?\nAnswer: 882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5*7 + 51510\/1414.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*3\/(-21) + (-9)\/63?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u = -3045.0000007916 - -3045. Round u to 7 decimal places.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {s: 1, z: 7}. What is prob of picking 1 z and 1 s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -0.2, 188, 2\/13, -0.15, 0.9, 0 in decreasing order.\nAnswer: 188, 0.9, 2\/13, 0, -0.15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 154 and 110?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Round -0.7238523 to the nearest integer.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*z + d - 32 - 10 = 0, -5*d + 10 = 0. Suppose 2*o - 26 = 5*c - 0, c - z = -o. Calculate the remainder when 51 is divided by o.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = -4*u**3 + u**2 - 11*u + 8. Let v(l) = 7*l**3 - 3*l**2 + 19*l - 15. Let j(x) = 5*a(x) + 3*v(x). Calculate j(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be ((-18)\/(-3))\/((3420\/(-440))\/(-57)). Solve -50*y = -d*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -9236, -20529, -31822, -43115?\nAnswer: -54408","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 9:11 PM and 4:05 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -4*t + 7. Suppose 85*b - 76*b = 0. What is d(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.11*-19.\nAnswer: -2.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let h(g) = g + 1. Let p(r) = -r**3 + 5*r**2 + 2*r + 4. Let d(b) = -2*h(b) + p(b). Let x be d(5). Sort -4, -5, x in increasing order.\nAnswer: -5, -4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 - 55 - (-39 - -23).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or -2\/489?\nAnswer: -2\/489","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -75.36545 + 166755\nAnswer: 166679.63455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18356.\nAnswer: 2, 13, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 2392758494 to the power of 1\/2, to the nearest integer?\nAnswer: 48916","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(l) = 65*l**2 - 2*l + 1. Let b be i(1). Find the common denominator of (-10)\/(-8)*b\/(-84) and 23\/3.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 10001000001010101110 - 11?\nAnswer: 10001000001010101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -w**2\/5 - 539588*w\/5 - 72788802436\/5 = 0.\nAnswer: -269794","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 479047?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 18 = -2. Suppose 0*z + b*j + 40 = 2*z, -4*z + 110 = 5*j. Let p be z + 3 + 4\/(-1). Calculate the highest common divisor of 264 and p.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -48, 4, -549 in descending order.\nAnswer: 4, -48, -549","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Convert 91507.09 hours to seconds.\nAnswer: 329425524","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97 + 31 = 6*t. Let c = t + 16. Let q(y) = -y**2 + 4*y - 4. Give q(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -57163*n - 5202*n - 647*n.\nAnswer: -63012*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -52\/15 and 59\/1925.\nAnswer: 5775","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Expand (k + 9*k - 13*k)*(k**4 - 3*k**4 + 4*k**4).\nAnswer: -6*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: -73819121 divided by 1\nAnswer: -73819121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Divide -4224 by -352.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:11 AM and 9:06 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Put -5\/3, 3, -39\/4, -1.5, 0.5 in descending order.\nAnswer: 3, 0.5, -1.5, -5\/3, -39\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide -77 by 9.\nAnswer: -77\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -6b02 - 11a6?\nAnswer: -80a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3496470?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*p = -4*w - 1886, -p - 3*w = -1014 + 51. Let j = -634 + p. List the prime factors of j.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from sstttstststst. What is prob of picking 2 s?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of (8 - 7)\/((-2)\/(-162)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(i) = -6*i - 3. Suppose 4 = 2*x, 2*x - 2 = 4*q - x. Let g = q + -4. Does 4 divide p(g)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -8 + 3. Let y(q) = -29*q + q**2 + 15*q + 13*q - 3. List the prime factors of y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is 2 - -151?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is c03 (base 13) in base 5?\nAnswer: 31111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: -3318 (base 11) to base 5\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let w = 4 + -5. Let o = 0.44 - 0.4. Let s = o - -2.96. Which is greater: w or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.31138304 - -0.277785. Let h = p + -23.96650596. Let x = h + 24. What is x rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(f) = 272*f. Let h(i) = -21*i. Calculate 51*h(a) + 4*s(a).\nAnswer: 17*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 5040?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 388 minutes before 2:14 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand (-110 + 3*p - 25 + 243 + 340)*(-p**2 + 2*p**2 + 0*p**2).\nAnswer: 3*p**3 + 448*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-5)\/(-25) + (-265)\/(-175). Factor 0*d**3 + 8\/7*d - r*d**2 + 4\/7*d**4 + 0.\nAnswer: 4*d*(d - 1)**2*(d + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a = -2*a - 15 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 217582 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: Simplify ((y**(-3)\/y)\/y**3*(y*y**1)**(11\/3))**(-45) assuming y is positive.\nAnswer: y**(-15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let j(o) = 42*o - 36. Let u(y) = -6*y + 5. Suppose 2*v = -10*k + 5*k - 31, -5*k = -5*v + 10. Calculate k*j(a) - 36*u(a).\nAnswer: 6*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 6594271 to the power of 1\/3, to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -26 in 0.5, -1\/3, 4?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 408 (base 10) in base 12?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 76 minutes after 1:41 PM?\nAnswer: 2:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -858 - -1?\nAnswer: -857","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 8274047 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -113\/348 and 69\/8410.\nAnswer: 50460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -2338, -2336, -2334, -2332, -2330?\nAnswer: -2328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 146\/(5\/(-50)*2*-1).\nAnswer: 2, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -7*r + 6*r**3 + 61*r**4 - 3 - 63*r**4 - r**3 - 6*r + 0 in the form t*r + j + m*r**4 + o*r**2 + b*r**3 and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: ((-8)\/6*(-51)\/(-238))\/((-21)\/490*-15)\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let p(h) = 7*h**2 + 1056*h + 6383. Calculate p(-6).\nAnswer: 299","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-3379)\/(-3379)*(18\/(-8))\/(2\/8)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1950.15 + -1950. Put 2\/3, -83, i in descending order.\nAnswer: 2\/3, i, -83","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 6 + -7 + (1 - 3)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*sqrt(119)\/(sqrt(567) - (-2*sqrt(567) + sqrt(567))).\nAnswer: sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 152382?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 5 * -4495.\nAnswer: -22475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of (-8)\/(28\/8 + -4) and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be ((-150)\/(-315))\/(((-39)\/351)\/((-10)\/25)). Solve -4\/7*u**3 + j*u**2 + 0 - 8\/7*u = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -16 in 13, 0.1, 375?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y(m) = 5*m**2 - 61*m + 410. Give y(6).\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Is 841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 37993?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -27*d + 70*d - 31*d.\nAnswer: 12*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.2 (b) -2\/5 (c) 316.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 232782 or 232781?\nAnswer: 232782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = 65*g**2. Let m(a) = -14*a**2 + 4*a - 98. Determine m(r(c)).\nAnswer: -59150*c**4 + 260*c**2 - 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let l(k) be the first derivative of 17*k**4\/4 - k**3 + 2*k + 24. What is the hundreds digit of l(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(x) = -22*x + 335. Give a(15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = q**2 - 6*q + 11. Calculate w(4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let b = 21 - 20.6. Suppose 0 = -4*a - 14 - 142. Let p be 32\/a + 6\/9. What is the nearest to 0.1 in 0, b, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -318 + 356.6. Let c = 38.59662 - z. Round c to four decimal places.\nAnswer: -0.0034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 22, -8, 2, 1, 29, 99, -5 in decreasing order.\nAnswer: 99, 29, 22, 2, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 499 - 449. Suppose -1019 - z = -l. What are the prime factors of l?\nAnswer: 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/11 in 0, 487104, 0.053?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate -247*((-265)\/(-53))\/((-650)\/10).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 2565*y + 46061 + 28324 for y.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2038, -2053, -2066, -2077, -2086, -2093, -2098?\n\"Answer: d**2 - 18*d - 2021","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*r = -2*i + 7 + 5, -2*r - 5*i = -9. Factor -z**2 + 9*z**2 + 2 - 11*z**r - 8 - 9*z.\nAnswer: -3*(z + 1)*(z + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (3 + -1 + -4)*-43 + -3. Let g = l - 84. Let x(o) = 6*o**2 + 3*o + 2. Let t be x(g). Let q(m) = -m**2 + 6*m - 1. Calculate q(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(b) = -5*b**3 + 14*b**2 + 5*b. Let n(y) = -2*y**3 + 5*y**2 + 2*y. Calculate 8*n(j) - 3*z(j).\nAnswer: -j**3 - 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find h such that -h**3 + 4*h**5 + 0*h**5 - 55*h**4 + 54*h**4 + h**2 - 3*h**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-717 + 353 - 937 - 1730 - 1533)*(-2*t + 4*t - t).\nAnswer: -4564*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is -b (base 14) in base 15?\nAnswer: -b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 6\/25 of a tonne in kilograms?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -9*c + 288 = 3*c. What is the units digit of ((-12)\/c)\/((-2)\/1264)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 678 minutes before 3:58 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Divide -82 by -5807202.\nAnswer: 41\/2903601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 122 - -16607?\nAnswer: 16731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let k be -4*-4*(-2)\/(-4). Suppose 0 = 5*t - 10, k*h - 3*h = t + 323. Is h a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4 + (4\/8 - 1)*6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*s - 245 = 55*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 28252?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 279 - 1119 = -5*p. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 35684126557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1 divided by -1474426.\nAnswer: -1\/1474426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 29433317 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -208520, -209429, -210944, -213065, -215792, -219125?\n\"Answer: -303*g**2 - 208217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c = 6.7 - -2.3. Let x = 8.9 - c. Sort 2\/7, x, 1 in increasing order.\nAnswer: x, 2\/7, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1052609 to the power of 1\/6, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: -8 divided by 88\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Is 2143\/55400 >= -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = -2*w + 1. Let s be h(-2). Suppose -60004 = 5*k + 4*m, k - 59995 = 6*k - s*m. Round k to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 16488.\nAnswer: 2, 3, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2 = c - w - 4, -3*w + 34 = 5*c. Solve 0*l - 4*o + 19 = l, 4*o - 15 = -c*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = -2*c**2 + 2*c + 1. Let n be k(2). Let j be (n\/(-18))\/(5\/(-110)). Let t = j - -3. What is the nearest to t in 0, 1, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 320 minutes after 7:50 AM?\nAnswer: 1:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let v be (0\/2 - 1) + -19. List the prime factors of 4\/(-2)*50\/v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 2176 and 2416?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in 1\/45 of a hour?\nAnswer: 80000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 9738 is divided by 26?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 4645977 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 83180435371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let i(w) = 2*w**3 + 3*w**2 - 11*w + 11. Let m(x) be the second derivative of -x**5\/20 - x**4\/12 + 2*x**3\/3 - 2*x**2 + x - 81. Calculate 4*i(l) + 11*m(l).\nAnswer: -3*l**3 + l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let r be -1*(2 + (-32)\/20). Is r greater than or equal to -0.03?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.00585717 to 4 decimal places.\nAnswer: 0.0059","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 33\/2 and 97\/132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 8108423 to the nearest integer?\nAnswer: 2848","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-1 + 2*g + 1)*(0*g**2 + g**2 + g**2) + 3 - 3 - 5*g**3)*(6*g**2 + 0*g**2 + 0*g**2).\nAnswer: -6*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let w(s) be the first derivative of s**3\/3 + 5*s**2\/2 - 10*s - 3. Let f be w(-7). Let n(a) = 7*a - 4. Is 24 a factor of n(f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mnaanaanaaannanvavm. What is prob of picking 2 a and 1 v?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose s - 19 = 2*d, 5*d = -5*s - 0*s + 125. Let u(x) = -10*x + 13. Calculate the remainder when u(-9) is divided by s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 25 a factor of 1220575?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let y = 107 - 107.3. Put 22, 1\/3, y in descending order.\nAnswer: 22, 1\/3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -3899839 or -19499188\/5?\nAnswer: -19499188\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Is 20 a factor of 198740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Divide 4530 by 906.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.057 * -2.6265.\nAnswer: -0.1497105","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is 7022 - -2?\nAnswer: 7024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put together 7.63 and -0.03102.\nAnswer: 7.59898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 55\/14 and (-292)\/(-48) + (-2 - 1).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 0*m + 0*m - 2*m + 6*m to the form u + z*m and give z.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1765.9 + 1766. What is the closest to -1 in -2.7, 4, -0.05, k?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 118.1, -5, 10, -15\/7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -45 + 0 - (-1 + 2 + (10 - 13) + -1)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-16)\/18 - 4\/(-6). Is n greater than or equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = 15\/5302 - -69779\/167013. Calculate the common denominator of 85\/14 and y.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0059850268 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5088793 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 16152076 (base 9) to base 14\nAnswer: 10dd1d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 31745071?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -103, -216, -317, -400, -459, -488, -481?\nAnswer: -432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 62ab267 - -6?\nAnswer: 62ab270","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose -316*z - 180 = -321*z. Suppose -z = -15*b - 21. Is 1\/343 greater than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 1.7 + 0.3. Let k = w - 1.4. Let m = 0.4 - k. Which is bigger: -1 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(u) = -3*u**2 - 18*u - 1. Let o be r(-6). Which is smaller: o or -20\/31?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(a) = 99*a - 173. What is the units digit of s(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 2*v**4 + 2027*v**3 - 25*v**2 - 1468936 with respect to v.\nAnswer: 8*v**3 + 6081*v**2 - 50*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**1)**(-4\/7))**37 assuming a is positive.\nAnswer: a**(-148\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m(z) = -53*z + 4214. Calculate the smallest common multiple of m(78) and 92.\nAnswer: 1840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 1950812.1 months to decades.\nAnswer: 16256.7675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6677, -12479, -17407, -21461, -24641, -26947, -28379?\nAnswer: -28937","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: -2 + (10 + -11 - (3 + -3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 157*g = 163*g + w + 13, -5*g - 35 = -4*w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 2101*h**2 - 1267*h - 7. Let z(g) = -1050*g**2 + 628*g + 4. Let l(a) = -4*x(a) - 7*z(a). What is the second derivative of l(i) wrt i?\nAnswer: -2108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -0.2 - -0.3. Let z(a) = -a**2 - 4. Let i be z(10). Let g = 103 + i. Is g bigger than l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i - 42 = -5*j, 2*j + 3*i - 9 = 10. Let h(s) = s**3 - 6*s**2 - 13*s + 18. List the prime factors of h(j).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) = x. Let q(i) = -9. Let t(f) = 58*f - 3654. Let l(n) = 3248*q(n) - 8*t(n). Give l(r(a)).\nAnswer: -464*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1 + 1. Let s = 0.025 - 0.005. Let r = -0.08 - s. Put -2, q, r in descending order.\nAnswer: q, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -573 + 423. Let n = 150.000026 + j. Round n to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth smallest value? (a) 0.1 (b) 14 (c) -2\/25 (d) -16\/5 (e) 3 (f) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -19, -21, -23, -25?\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 160.\nAnswer: -480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 587625*b**2*w**2 - 304*b**2*w - 2*b*w + 152*b wrt w.\nAnswer: 1175250*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let r(x) be the first derivative of -5*x**3\/3 - 2. Let q(y) = -1. Let a(p) = -p + 1. Let u(o) = -a(o) - q(o). Determine r(u(i)).\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let n be (-8696)\/(91\/46 + -2). Suppose -h - h - 800016 = 4*w, -h - 4*w - n = 0. Round h to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 8\/40*15\/12*6?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -0.0652 times 53763\nAnswer: -3505.3476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 35 (b) -0.09 (c) -3 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*z + 321 + 217 = 2*g, 0 = 4*z + 3*g - 1079. Suppose 29*p - 772 = z. Is 12 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -l - 3. Let w be n(-7). Let v(h) = 2*h - 7 + 2 - h**2 + 2*h + w*h. Let j be (22 + -1)*12\/36. Determine v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/1)\/(176\/22*(-1)\/12)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -27\/20, -12, -1\/8, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = 3*p. Let a(g) = -89 + 19*g - 34*g - 68*g + 103 - 8*g. Give a(z(h)).\nAnswer: -273*h + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {l: 5, b: 11}. What is prob of sequence bl?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -41*y + 1888 + 1556 = 0. Calculate the lowest common multiple of 64 and y.\nAnswer: 1344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -9 + 4 - (1 - 7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = m. Let w(k) = -k**3 - 2*k. Let a be w(0). Suppose -2*i + 5*h + 35 - 2 = m, -i + h + 9 = a. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose r + 3*r = 4*y - 48, -2*y + r + 28 = 0. Calculate the greatest common divisor of y and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -74631 (base 13) to base 10.\nAnswer: -209769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from jqqjxjjx. What is prob of picking 2 j and 2 x?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-52)\/117*6\/(-4)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(r) = 19*r**2 + 2*r + 7. Let l be u(-5). Let f = l + -226. What is the hundreds digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hahag. Give prob of sequence gh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -43 = -y + 3*m, -35*m = y - 37*m - 38. Calculate the remainder when 249 is divided by y.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(m) = 113590*m**3 + 2*m**2 - 16*m + 15. Is z(1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -9, 0.68, -2\/7, 2, -0.5.\nAnswer: -9, -0.5, -2\/7, 0.68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*h + 2*q + 6, -7*h + 3*h - q = -10. Suppose -3*o - 4 = -c, c = 2*o + h + 2. Solve -4*y + y + 12 = o for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in -3, 0.13, 3\/68?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -38\/49 and 19 + -44 + 13 + (-9398)\/(-756)?\nAnswer: 2646","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(r) be the first derivative of -14*r**2 - 4\/3*r**3 - 25 + 0*r. What is the second derivative of s(b) wrt b?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-45)\/15 - (338\/(-28) - -9)?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -10 + 1 = -3*x. Let p(y) = 3 - 4*y + x*y + 2*y. Determine p(-4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be 7\/(-2)*(-120)\/35. Solve 0 = -7*d + 4*d + h for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 634343 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h(i) = i. Let v(k) = 8 - 3978*k**2 - 3979*k**2 + 11929*k**2 - 7*k + 0*k - 3974*k**2. Give v(h(o)).\nAnswer: -2*o**2 - 7*o + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 374 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 1061179623 a multiple of 1503?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -7893 divided by -3\nAnswer: 2631","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose 15*v - 45*v + 21390 = 0. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -4331 times 2.5?\nAnswer: -10827.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 35, 133, 291, 509, 787?\n\"Answer: 30*r**2 + 8*r - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6775791 is divided by 1540?\nAnswer: 1331","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/4? (a) -5 (b) -0.5 (c) -2\/23\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*j = 86*k - 88*k - 76, 14*j - 4*k - 482 = 0. Solve 0 = -4*w - 69*s + 65*s - 12, -4*w + 5*s = -j for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -12.52399085 to one dp.\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-4)\/(-1)*3\/((-12)\/2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 8449?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -7*l**3 - 2*l**2 - 7*l. Let r(k) = -14*k**3 - 5*k**2 - 15*k. Let w(b) = 5*q(b) - 2*r(b). Find the second derivative of w(a) wrt a.\nAnswer: -42*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: -1.3*-3334\nAnswer: 4334.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 1093 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-185)\/(-1295)*-14*(-1)\/(-4)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate 701961338 + 1210.\nAnswer: 701962548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 3821254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 711.\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -19 = -5*o + 6 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 1 (base 13) in base 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 345 minutes before 12:20 AM?\nAnswer: 6:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 - 8*a**2 - 6*a + 5. Let x(o) = 26*o + 19. Suppose -3*f = -5*p + 13, f - 5*p + 7 = -4. Let v be x(f). Give b(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*a + 5 = 15 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let g = 24 - -96. Suppose -u - g = 3*u. Let p = u + 33. Solve p*y + y = 12 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find d, given that -1521*d**5\/2 - 5083*d**4 - 16539*d**3\/2 + 3319*d**2 + 9030*d + 1764 = 0.\nAnswer: -42\/13, -1, -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1755 is divided by 293?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*z**4\/9 - 1252*z**3\/9 - 15604*z**2\/9 + 1252*z\/9 + 5200\/3 = 0.\nAnswer: -12, -1, 1, 325","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.8 + 1.2. Let l = 6.08 - 6. Put f, -4\/3, l in descending order.\nAnswer: f, l, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3 (b) 17 (c) -0.3 (d) -3.6 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let g(q) = -3*q**4 + 2*q**3 + q**2 - 2*q. Let m be (-2)\/(-1) + (2 - 2). Let k(b) = -7*b**4 + 4*b**3 + 3*b**2 - 5*b. Let c(z) = m*k(z) - 5*g(z). Factor c(x).\nAnswer: x**2*(x - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 495 and 33165.\nAnswer: 33165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 168 divided by -21743?\nAnswer: -168\/21743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 r and 2 q when four letters picked without replacement from {q: 4, r: 2}.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*z - 35 = -5*n, 15*n - 2*z = 10*n + 10 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let s(w) = w**2 - 5*w + 6. Let o be s(8). What is the first derivative of 2 - 4 + o*c**2 - 20*c**2 wrt c?\nAnswer: 20*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 2.949106+0.04951\nAnswer: 2.998616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-5)\/(150\/(-12)))\/((-8)\/20).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round 1124228000 to the nearest one million.\nAnswer: 1124000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is -10 + (-56)\/14 + 15?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, -52, 68, 2, -142 in decreasing order.\nAnswer: 68, 2, -1, -52, -142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*u = v - 8, -5*u + 22245 = -2*v + 22252 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8704 or 8274?\nAnswer: -8704","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes before 5:24 PM?\nAnswer: 3:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x = 32.7 + -33.7. Let o = 129\/595 - 2\/119. What is the smallest value in 0, -0.2, x, o?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(y) = 0*y - 5*y + y - 4*y. Let w(b) = 215*b. Let f(r) = -r**2 + 6*r + 9. Let i be f(7). Determine i*w(x) + 55*h(x).\nAnswer: -10*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3*l**3 - l**2 + 6*l**2 + 5*l**2 - 10*l**2.\nAnswer: -3*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 67\/85 and 51\/10.\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate (3 - (98219\/31482 - 4\/18)) + (-92)\/1242.\nAnswer: 3\/106","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.5 and 74582.\nAnswer: -37291","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 2\/7, 1.518, 0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*s = -5*d + 73, 3*d = 4*s + 44 - 122. Is s a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: ((-333)\/(-8325))\/((-6)\/(-30))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 + 10*s**2 + 6*s + 21. Let i be z(10). Let y = 89 - i. Solve 20 = 3*b - y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 102, 197, 278, 339, 374, 377?\n\"Answer: -h**3 - h**2 + 105*h - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -12\/1021 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 12.2 times 0.27\nAnswer: 3.294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand -i**3 + i**3 + 2*i**5 - i**5 - 3*i**5 + 5*i**5 + (-2*i**4 - 2*i**4 + i**4)*(i + 5*i - 4*i) + 4*i**5 + 0 - 3*i**5 - 3.\nAnswer: -2*i**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 10 - (30 + (-42 - -23)) - (8 + 3)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let i(k) = k**2 - 35*k - 696. What is the smallest common multiple of 6 and i(-30)?\nAnswer: 1254","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 3384 and 92196?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = 11*h - 31. Let z = 153 + -150. Let t be x(z). Solve 0 = -3*b + 4*n + 24, t*n + n = -5*b + 11 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 d, 1 r, and 2 b when four letters picked without replacement from sbdsrsrrsbr?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 6, w: 10, l: 1}. What is prob of sequence wwl?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -931099, -931098, -931097, -931096, -931095, -931094?\n\"Answer: g - 931100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -a**4\/3 - 3*a**3 - 13*a**2\/3 + 15*a + 50\/3.\nAnswer: -(a - 2)*(a + 1)*(a + 5)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0.1 or 17\/35?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -0.2 + -25636093290193\nAnswer: -25636093290193.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m, 1 r, and 1 w when three letters picked without replacement from pprmw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate 44\/(-72)*27\/(-810)*-60.\nAnswer: -11\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Factor -256\/19 - 2\/19*j**3 + 132\/19*j + 126\/19*j**2.\nAnswer: -2*(j - 64)*(j - 1)*(j + 2)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -2, -4, 1\/10, -1686 in descending order.\nAnswer: 1\/10, -2, -4, -5, -1686","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -74*v + 155 = 31*v - 265. Solve -30*b + 9 = f - 28*b, 0 = f - v*b + 9 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -4.06 - -0.06. Let k = 6 + -10. Let t = k - c. Is t equal to 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) - sqrt(114)\/(sqrt(6) - (sqrt(6) - sqrt(6)*-1)) - (sqrt(475) - ((sqrt(475)*-4)**2 - sqrt(475))))*1.\nAnswer: -8*sqrt(19) + 7600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o - 7*o = -32. Suppose 10 = -2*j - 5*f, o = 4*j + 10*f - 6*f. Solve -j*k + 3*k = 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -382, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -15*c**2 + 70*c + 712. Give h(-11).\nAnswer: -1873","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: How many weeks are there in 133886.5605ns?\nAnswer: 0.00000000022137328125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let a(r) be the first derivative of -56 + 2\/19*r**2 + 0*r + 1\/57*r**6 - 2\/19*r**5 + 9\/38*r**4 - 14\/57*r**3. What is b in a(b) = 0?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -3*p**2 + 13*p + 3. Let n(x) = 4*x**2 - 12*x - 4. Let q(s) = 2*n(s) + 3*t(s). Let r be (-106)\/(-8) + 16\/(-64). List the prime factors of q(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 3 + 2*b + (2 - 3 - 1)*(-3*b + 4*b - 3*b) + 257 - 257 + 19*b)*(-1865 + 55*b + 1865) - 3*b**2 + 0*b**2 + 5*b**2.\nAnswer: 1377*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 8229653723 to the power of 1\/2, to the nearest integer?\nAnswer: 90717","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 331 minutes after 4:47 AM?\nAnswer: 10:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15*z + 8473 = -7397. List the prime factors of z.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = 11\/270 + -7717\/540. Suppose 4*q + 995 - 4495 = 0. Find the common denominator of q\/(-882) + (-2)\/7 and v.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-8 - (9 + (-4 - 6))) + 8 + 3?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -x**2 + 89*x - 5. Let w(s) be the first derivative of s**2\/2 - 6467. What is w(k(u))?\nAnswer: -u**2 + 89*u - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let o(c) = 109*c - 1. What is o(-1)?\nAnswer: -110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1384 - -1389. Solve -x - d*w + w = 24, 0 = -w - 5 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be 60\/(-32) - (1 + -3). Let w be -1 + 1 - 40\/192. Let y = s - w. Which is the closest to 2? (a) y (b) 4\/5 (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1820835827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -48 - 28 = -19*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when (15 - 244\/12)*69*2\/(-4) is divided by 97.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l - 5*l - 2*a + 5594 = 0, -5*a - 15 = 0. Let b = l - 744. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34540 - 6459. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -7.5 + 42.5. Let d = 35.46 - w. What is d rounded to one dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(j) = j**2 + 3*j - 71. Let n be g(7). Let d(z) = z**2 - 2*z - 2. Let p(r) = r**2 + r. Give n*d(b) - p(b).\nAnswer: -2*b**2 + b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate -654289 divided by -5.\nAnswer: 654289\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (23*i - 84 + 84)*(-56*i**2 - 3 + 58*i**2 + 1)*(-1 + 0 + 4)*(2*i + 2*i - 2*i) + (3*i + 2*i**2 - 3*i)*(-3*i**2 + 2*i**2 + 2*i**2).\nAnswer: 278*i**4 - 276*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -226, -821, -1770, -3037, -4586, -6381, -8386, -10565?\n\"Answer: 6*w**3 - 213*w**2 + 2*w - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) be the third derivative of -23*j**5\/105 - 71*j**4\/42 - 4*j**3\/7 + 22*j**2. Determine o so that z(o) = 0.\nAnswer: -3, -2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 280 = -512*i + 568*i. Which is the nearest to i? (a) 3 (b) 0.3 (c) 7\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 378 and 17661?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 71 in 17\/5, 1, 3\/8, -9, -2\/49?\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let j(i) be the second derivative of 15*i - 3\/2*i**2 + 0 - 1\/6*i**3. Calculate j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(p) = 44*p - 95*p**2 + 85*p**2 - 45*p - p**3 - 17. What is h(-10)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.3574 + -52.\nAnswer: -51.6426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v - 8 = 3*v - 2*i, -3*v + 5*i = 20. Let z(s) = -6 + v*s + 3 + s + s**2 + 3*s. What is z(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 629231 is divided by 453.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Is 45 a factor of 52307525?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-20)\/70)\/(((-3)\/7)\/3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = -2700*d + 14725. Calculate m(6).\nAnswer: -1475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from sunwc. What is prob of sequence sun?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00507168122 rounded to 5 decimal places?\nAnswer: 0.00507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 12 and 484?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*u - o - 84, -o = -u + 4 + 12. What is the greatest common factor of 119 and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(u) = -3*u. Let z = -4 + 6. Suppose z = -p - 12. Let j(c) = c - 2. Let x(f) = -4*f + 7. Let s(w) = p*j(w) - 4*x(w). What is s(k(q))?\nAnswer: -6*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-7 - (-175)\/30)*1\/(-28). Let q(x) be the third derivative of 7*x**2 + 0*x + 0*x**3 + k*x**4 + 0. Let n(s) = -3*s**2. Determine n(q(t)).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 132\/117859 less than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let j(s) = -2*s**2 + 12*s - 30. Let u be j(11). Let g = 368 + u. What are the prime factors of g?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + t = 0, -p = 4*t - 4. What is the nearest to 2\/5 in 3\/5, -1, p?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -80950 by 10.\nAnswer: -8095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Round -0.2031 to 1 dp.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -2860, -11489, -25870, -46003, -71888?\n\"Answer: -2876*a**2 - a + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: -5232 (base 6) to base 15\nAnswer: -532","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 23697317 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*o = 2*o + 24. What is the remainder when 23 is divided by o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 355439653 to the power of 1\/3, to the nearest integer?\nAnswer: 708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) = k**3 + 8*k**2 + 5*k - 4. Suppose q - 15 = 13. What is the remainder when q is divided by y(-7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(j) = j**3 + 7*j + j - 8*j**2 - 5 + 18*j**2. List the prime factors of v(-7).\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 45 and 180?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 47 + -47. Suppose -5*j = -5*v + 1700, 5*v - 7*j + 3*j - 1696 = i. What is the highest common divisor of v and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/2*1)\/((-1751)\/(-17510))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 473 minutes after 12:36 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*h + 6 = -2*l + 3*h, 0 = -l + h. Let t be 547 + 4\/6*57\/38. Let m = t - 543. Put -2, l, 3, m in ascending order.\nAnswer: -2, l, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(s) = s**2 + 9*s + 8. Give h(-10).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of ((-6)\/4)\/(((-60)\/(-8))\/(-15)) and 225.\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pivi when four letters picked without replacement from bvpvipbbpgcigbbcvb.\nAnswer: 1\/4080","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-3)*2\/(-6)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 1838 and 4?\nAnswer: 3676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.4 - 1.3. Is 1 at least o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/(-12))\/(1\/30). Let j be o\/(-4) - (10\/(-4) - -3). Let l = 1.9 - 9.9. What is the third biggest value in j, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 105516, 422071, 949660, 1688283, 2637940?\n\"Answer: 105517*r**2 + 4*r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let d = -18 + 26. Suppose d - 2 = k. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 77 and 21049?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 3*z + 3*r - 1917, -18*r = -z - 14*r + 659. Calculate the smallest common multiple of z and 6.\nAnswer: 3858","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -4*k**3 + 14*k**4 - 3*k**2 + 2*k**3 - 12*k**4 in the form b*k**2 + s + y*k + o*k**3 + p*k**4 and give b.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -9 * 104.\nAnswer: -936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 12*v - 10. Suppose -15*a + 14 = -a. Let j be s(a). What is the nearest to 1.7 in 2\/7, -2, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 1\/4 of a day in minutes?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 729869 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let g(x) = -8*x**3 - x**2 - x + 1. Let b(q) = q**2 + 8*q + 8. Let p be b(-7). Calculate g(p).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of -9, -29, -85, -195, -377?\n\"Answer: -3*c**3 + c - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*k**3\/5 - 294*k**2 - 351486*k\/5 - 27070082\/5.\nAnswer: -2*(k + 169)*(k + 283)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = w**3 + 313*w**2 - 8085*w - 46. Give h(24).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 66.3 + -69.33. Let x = z - -3. Let s = -0.03 - x. What is the closest to 0.2 in s, -1, -0.4?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 54796940 is divided by 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(z) = -21*z**3 + 6*z**2 + 16*z. Let u = 19 + -21. Let p(m) = 4*m**3 - m**2 - 3*m. What is u*a(j) - 11*p(j)?\nAnswer: -2*j**3 - j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let a = 45 - 42. Let r(c) = -c**3 + 3*c**2 + c. Let s be r(3). Let y = s + a. Solve -y = 2*v - 0*v, 3*p + 9 = v for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 1.92 + 0.08. Suppose 0 = -4*z + 2*z + 8. Suppose 0 - z = n. Which is the third biggest value? (a) 1 (b) g (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(p) be the first derivative of 15*p**2 - 32 + 0*p - 53\/3*p**3. What is the second derivative of q(h) wrt h?\nAnswer: -106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3 + (-5 - -2) - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 2*y = -5*a + 3604, -2*a - 4*y = -1436. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*z**3\/9 - 65096*z**2 - 14301135520*z\/3 + 171623000192\/9.\nAnswer: -2*(z - 4)*(z + 146468)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -7 (b) 1 (c) -3 (d) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-6*(((1 + sqrt(4608))*4 - sqrt(4608)) + (sqrt(4608) + 1 + sqrt(4608))*-3 - (sqrt(4608) + -1 + 2)*-5))**2.\nAnswer: 41472*sqrt(2) + 664848","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let g = -58.3 - -58. Which is the nearest to -0.1? (a) g (b) 2\/5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = -163*n - 1226. What is y(-12)?\nAnswer: 730","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (2*d - 5*d - 3*d)*(-4 + 0 + 1)*(1 - 38*d - 40*d + 77*d) in the form a*d**2 + h*d + b and give a.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 66738 and 3106110?\nAnswer: 705086970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -60 - 497 - 245 + 184 + x in the form v + h*x and give v.\nAnswer: -618","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = 98*x + 74 - 74 - 125*x. Let s(h) = -2*h**2. What is s(i(g))?\nAnswer: -1458*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -164 - -a?\nAnswer: -155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-9)\/(-27))\/(-4 + 889\/210).\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((-2 + sqrt(448))*-2 - (sqrt(448) + (sqrt(448) - (sqrt(448) + -2) - sqrt(448))*4 - sqrt(448))) + 1 + 2)*2 + 5 + 1)**2.\nAnswer: 256*sqrt(7) + 7184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {e: 1, q: 5, g: 4, x: 5}. What is prob of picking 1 q and 1 e?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (7*w - 440 + 440)*(2*w**2 - 5*w**2 + 0*w**2 - 2*w).\nAnswer: -21*w**3 - 14*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -720 = -w + 6*w. Let s = w - -216. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 11 - 11 + 63*j + 75*j + 147*j - 276*j.\nAnswer: 9*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -68, -4, -18, -85, -2.\nAnswer: -85, -68, -18, -4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let q = 98 + 6201. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -2340, -2338, -2336, -2334, -2332, -2330?\n\"Answer: 2*d - 2342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let b(s) be the third derivative of -2*s**2 + 0*s + 1\/2*s**3 + 0 - 1\/12*s**4. Suppose -3*w = -w + 8, o = -3*w - 15. Give b(o).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((w**5\/w)\/w)\/(w**(-9)\/w))\/(w*w\/w**(-1)*w**(-2\/9)) assuming w is positive.\nAnswer: w**(92\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: (16 - 12 - 8 - -7) + 11\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 10*f**3*m + 3*f**2 - 13*f*m**2 - m**2 + 152*m - 3 with respect to f.\nAnswer: 30*f**2*m + 6*f - 13*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 42584 = 4*m + 2*n, -2*n - 34258 = -5*m + 18963. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 130513 is divided by 837.\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 7*y**2 - 2*y**3 - 29970930 + 29970930 + 3*y**3 + y**3.\nAnswer: 2*y**3 + 7*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:59 AM and 3:11 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (7 - (-54)\/(-8)) + (3 - (-1790)\/(-600))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 35\/11 + -477\/143. What is the second smallest value in 2\/7, -3\/4, g, -1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -3*x**6 + 131*x**4 + x**2 + 51.\nAnswer: -360*x**3 + 3144*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pcp when three letters picked without replacement from gccpph.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12*t + 537 - 81 = 0. Calculate the remainder when (-2)\/(-7) - 12408\/(-84) is divided by t.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (13\/(-65))\/(4\/10)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -209 + 212. Let f(u) be the first derivative of -g*u + 0*u**2 + 0*u**3 + 3 - 5\/4*u**4. What is the derivative of f(z) wrt z?\nAnswer: -15*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 197919?\nAnswer: 3, 21991","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*s + 35 = 5*v, -s + 6*v = v + 11 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -5*m - 4*m + 9. Suppose -3*t + z + 7 = -2*t, -4*t - 4*z + 12 = 0. What is the second derivative of m - 1 - 12*n**5 + 0 + t*n wrt n?\nAnswer: -240*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 27171233 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) be the second derivative of 801*r**4\/2 - 3824*r**3\/3 - 283*r. What is the second derivative of z(g) wrt g?\nAnswer: 9612","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(w) = 73*w - 1460. Determine h(20).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (129\/(65016\/144))\/(10\/(-5))?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -12 - 18 - 15 + 29*i**3 wrt i?\nAnswer: 87*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 30 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 782 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let l(m) = 2*m**2 - 1424*m - 36280. What is l(-25)?\nAnswer: 570","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1989 - 1953. Solve 56 = 4*y + o for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1446160 (base 8) in base 9?\nAnswer: -688208","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -j**2*p**2 + j**2*p*v + 10*j**2*v - 342*j*p**2*v - 564*p**2 - 77*p wrt v?\nAnswer: j**2*p + 10*j**2 - 342*j*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + 102?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 688825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (0 + (sqrt(700) + sqrt(700) + 0 + sqrt(700) + sqrt(700))*5*4 + (2 + (-2 + sqrt(700) + sqrt(700) - sqrt(700)) - (-1*sqrt(700)*-4 - sqrt(700))))**2.\nAnswer: 4258800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} {"text":"Question: Let a(w) = 3*w + 803 - 5*w**2 - 2*w - 801. Let c(b) = -11*b**2 + 3*b + 5. What is -5*a(u) + 2*c(u)?\nAnswer: 3*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {o: 5, z: 7, h: 2}. Give prob of sequence ozo.\nAnswer: 5\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) be the first derivative of 0*l - 18 - 4\/3*l**3 + 1\/4*l**4 - l**2. Determine n(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 804 + -18. Let t = 51881\/66 - k. Which is bigger: 1 or t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(x) = -7*x. Let t = -75 + 79. Let a(c) = 15 + 13*c - t - 7 - 4. What is b(a(v))?\nAnswer: -91*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*d, 3*b - 4*d = -2*b + 397. Calculate the greatest common divisor of b and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 0 + 13302131232?\nAnswer: 13302131232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose n - 324 = -2*n. Does 18 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -225*f + 238*f = 208. Suppose -2*p = p - 873. Let l = -179 + p. Calculate the highest common divisor of f and l.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(s) = -s**3 - 15*s**2 - 28*s - 60. Determine z(-11).\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2590*c - 243 = 2581*c. What is the remainder when 53 is divided by c?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -15*l + 460. Is q(-7) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -22 and 0.2456.\nAnswer: -5.4032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-21)\/(-6))\/(((-432)\/(-12))\/576).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -a**3 + 14*a**2 - 5*a - 20. Let l be d(9). Calculate the remainder when (12\/(-5))\/((-51)\/l) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -1\/22, -0.4, -61186, 0.3 in decreasing order.\nAnswer: 0.3, -1\/22, -0.4, -61186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = 97 + -106. Which is the closest to g? (a) -0.1 (b) 0.5 (c) -0.4 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = -67*j**3 + 1673*j**2 - 27*j + 1899. Give s(25).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0? (a) 0.5 (b) -4 (c) -2 (d) -18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) be the first derivative of -t**4\/4 + 2*t**3\/3 + 2*t**2 + 3*t - 1. Let g = -8 - -6. Is s(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 1 (b) -3\/5 (c) -3.9 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 62 - 3*q + 2*q + 89 - 22.\nAnswer: -q + 129","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate 46 divided by 12.\nAnswer: 23\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -20355 (base 9) to base 13\nAnswer: -614c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*h + 3*w - 2 + 7, -4*h - 2*w = 2. What is the second derivative of 5 - k + 2*k**2 - 5 - h*k wrt k?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -5, -8, -22, 11, -1, 3 in increasing order.\nAnswer: -22, -8, -5, -1, 3, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 6\/11 in -11.91, -442, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) = -z**3 + 6*z**2 + z - 4. Let u be r(6). Let n(l) be the first derivative of 9*l**3 - 3*l**2\/2 + l + 61. What is the units digit of n(u)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 28*d*g**3*t**2 + 34*d*g*t - 1238*g**3*t**2 + 69*g**3*t - 2*g**2 - 34646*t**2 wrt g.\nAnswer: 168*d*t**2 - 7428*t**2 + 414*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n be 9\/(-6)*(-2 + 0). Suppose n*q - q = 32. Let y = q - 5. Does 11 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -5 - -280645068?\nAnswer: 280645063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-266)\/95 + 1\/(-5). Let a be b*(-6)\/579*4\/(-8). Is a smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/40)\/((-10)\/75)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 + 14 - 5) + -8.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 498 (b) 5 (c) 6 (d) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 57753 is divided by 110.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth smallest value in 1\/71, 2.5, -0.5, 0.079, -0.3, -6?\nAnswer: 2.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of 54061, 108199, 162393, 216643?\n\"Answer: 28*o**2 + 54054*o - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 25, 4532, 1, 4 in increasing order.\nAnswer: 1, 4, 25, 4532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.2 in -0.03737, 16, -11\/21?\nAnswer: -0.03737","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*d + 2040 = 315. Suppose 0 = -2*b + 539 - d. Are -21 and b nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 1.01135 - 31575585.\nAnswer: -31575583.98865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let r(b) = b**3 - 114*b**2 - 572*b - 2663. Determine r(119).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*k - 2 + 0*k - 3*k)*(-20 + 0 + 77*k - 70*k).\nAnswer: -7*k**2 + 6*k + 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) be the first derivative of -7*y**5\/5 + 3*y**2\/2 + 10. Find the second derivative of d(u) wrt u.\nAnswer: -84*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3130 by 5.\nAnswer: 626","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 37231 to the nearest integer?\nAnswer: 193","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 86661 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 7314, 14709, 22104?\n\"Answer: 7395*l - 81","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 40670 and 28.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 12 and 176?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Does 27 divide 2430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -2\/11 (b) -52 (c) 0 (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let z(j) = j**3 + 76*j**2 + 236*j - 4. Determine z(-3).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve 42 = -6*g - 4*h, -49*g + 52*g + 18 = -h for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let u(v) be the first derivative of v**4\/8 - 28*v**3 + 333*v**2\/4 - 83*v - 10519. Factor u(n).\nAnswer: (n - 166)*(n - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -75*j + 161 = -52*j for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1864 is divided by 104.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 1189 and 58.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(v) = v**3 - 6*v**2 - 8*v + 7. Let d(a) = -a**2 + 8*a - 2. Let i be d(7). Suppose i*n + 28 = 9*n. Let k be p(n). Solve 5 = -w - k*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 705676 to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is next in 147, 582, 1323, 2382, 3771, 5502, 7587, 10038?\nAnswer: 12867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.4 in 1\/4, 44, -3170, 2.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is -0.0140449114 rounded to four dps?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 4\/(24 + 10292\/(-403))*(16 + -1)?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Is 105784858353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, c: 3, m: 3}. Give prob of picking 1 m and 1 c.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-6)\/(5\/5)*2*(-6)\/324. What is the closest to 0.66 in -3, 2\/13, -2\/3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 50.53 less than 13822279?\nAnswer: 13822228.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let g(k) = k**3 - 33*k**2 - 20*k - 789. Is g(38) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -28 + 29. Which is the smallest value? (a) -3 (b) l (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) 73\/7 (c) 5 (d) 1 (e) 3.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*h**3\/5 - 1158*h**2\/5 + 223494*h\/5 - 14378114\/5.\nAnswer: 2*(h - 193)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 0.492541 nanograms?\nAnswer: 0.000492541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 346109479 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let y(u) = -1085*u**2 - 4*u - 12. Let l(c) = -98736*c**2 - 363*c - 1089. Give 4*l(f) - 363*y(f).\nAnswer: -1089*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0005952 rounded to four dps?\nAnswer: 0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 309402 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 7380977711?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: 18\/(-44)*(-4)\/90*10\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 18965354.\nAnswer: 2, 9482677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve 35 = 3*y - 4*m, -33*m - 39 = 2*y - 30*m for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Does 41 divide 52793322?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 23952323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ith term of -17313, -34619, -51925?\n\"Answer: -17306*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 1, s: 4, e: 5}. What is prob of sequence ssu?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many centimeters are there in eleven halves of a meter?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i(j) = 2*j**3 - j**3 + 5*j - 9*j**2 - 5 + 5*j. Does 4 divide i(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1\/3? (a) 3\/4 (b) -2 (c) -10 (d) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q = 176.32 - 171.96. What is the second smallest value in q, 2, -1\/4, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 714 minutes after 3:15 AM?\nAnswer: 3:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 30\/(-20)*(-4*1)\/((-54)\/153).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 551 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = g**3 - 6*g**2 - 8*g + 7. Let v be 1*16\/6*-3. Let l = v + 15. What is u(l)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0002430255751 to five dps.\nAnswer: -0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -s - 43 + 5. Let c = s - -62. Let y = c + -14. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 12? (a) 3 (b) 1\/3 (c) 2 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*y**2 + 8876*y + 2263800 = 0.\nAnswer: -1925, -294","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Solve -28*q = 182851 - 180555 for q.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 216 and 88?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 83 = -4*u - 4*b + 95, 4*b = -4 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t(n) = 14*n**2 - 8. Let m(s) = -12*s. What is t(m(u))?\nAnswer: 2016*u**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: 3 (base 9) to base 8\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2355 is divided by 205?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let b(u) = -29*u + 445. What is b(16)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Express (h + 0*h - 3*h)*((4 - 2 - 3)*(0 - 1 + 2) - 5 + 4 + 0 + 1 - 6 + 1) as m*h + y and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*-1*sqrt(170)*1 - 2*sqrt(170)*-1*2)\/(-3*(sqrt(360)*-2 - sqrt(360)) - (sqrt(360) + 3*sqrt(360)*-2)).\nAnswer: 5*sqrt(17)\/84","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -139\/2562 and -49\/97032?\nAnswer: 41432664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express (3*d**2 - 3*d**2 - d**2)*(372*d - 675*d - 190*d) as n*d**2 + b*d**3 + c*d + r and give b.\nAnswer: 493","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*p + 44 = 29. Let c(q) = 28 + 4*q - 3*q - p*q. Let z be c(6). Is 7 not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 2377758 and -0.3053?\nAnswer: 2377758.3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 1686316 and 147348?\nAnswer: 15176844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.3 and 1511023?\nAnswer: 1511022.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-15)\/(-6)*8\/10. Let d be 2\/(-6) + 7\/3. Find the second derivative of a*v - v**4 + v**d - v**2 wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 1.81+-1858\nAnswer: -1856.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in 22, -5, -3\/7, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -31 (b) 3563 (c) 2.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6238498?\nAnswer: 2, 7, 19, 47, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j = -5 - -10. Let n(q) = -q**2 + 2*q + 3. Let b be n(3). Suppose b = 37*t - 42*t - 15. Sort t, j, -5 in ascending order.\nAnswer: -5, t, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(f) = f**3 - 16*f**2 + 18*f - 27. Let z be d(15). Suppose -6*m = -108 + z. What is the lowest common multiple of 33 and m?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.09 plus 88.766?\nAnswer: 88.676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose -14*n - 392069403 = -51869403. What is n rounded to the nearest one million?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence msm when three letters picked without replacement from {s: 4, m: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate (9435\/8880)\/(1\/(-32)).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: -13*-283828\nAnswer: 3689764","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} {"text":"Question: In base 14, what is -1a84 - -1405?\nAnswer: -67d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 194818366 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let q = -6 + 4. Let t be q - (32\/7)\/(-2). Let h = 4.85 + -1.85. Which is smaller: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -60685629.4 rounded to the nearest 1000000?\nAnswer: -61000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Expand 95*m - 39*m**4 - 95*m + (-m**2 - 5*m**2 + 4*m**2)*(6*m**2 - 3*m**2 - m**2) - 3*m**4 + 2*m**4 - m**4 - 4 + 4 - m**4 + (5*m - 3*m - 3*m)*(m - m + 2*m**3).\nAnswer: -48*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 2319286159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -4 - -3 - (3 - (2 - 2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 u and 1 d when three letters picked without replacement from {e: 1, d: 1, u: 7}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 688, 13\/108 in descending order.\nAnswer: 688, 13\/108, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -379.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 214773?\nAnswer: 3, 13, 5507","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*k = 8*k - 22. Let h be (-9 + k)*(1 - (-2)\/(-4)). What is the common denominator of -41\/64 and h - (-3 - (-154)\/16)?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) be the third derivative of -p**6\/30 - p**5\/60 + p**4\/24 + p**3\/6 - 2*p**2 - 15. Determine y(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -263, -259, -255?\n\"Answer: 4*y - 267","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + (-1 - -1) + -2 + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let q = -10 + 15. Let j be (-2)\/4*(-370)\/q. Suppose 2*s - j = -3*t - 2*t, -2*s + 45 = -3*t. Is s a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 34 - 5?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: 17\/17 + (3 - -6)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, 6, -5, 8, 3, -34 in descending order.\nAnswer: 8, 6, 3, 0, -5, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 283984 is divided by 543.\nAnswer: 538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from toaedwaowdeoodd. Give prob of picking 2 a and 2 d.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(228) - sqrt(228)*-3)*-1 - sqrt(228)) + sqrt(228))\/sqrt(12).\nAnswer: -4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 50665 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Convert 1 (base 2) to base 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, 0.01, 0.1, 0.8, -15753, 0.4 in descending order.\nAnswer: 4, 0.8, 0.4, 0.1, 0.01, -15753","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 19233310.\nAnswer: 2, 5, 73, 26347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 109, -100, -441, -908, -1495, -2196, -3005, -3916?\n\"Answer: v**3 - 72*v**2 + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 156 a factor of 256620?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -1077817*p**2 - p + 1584895 with respect to p.\nAnswer: -2155634*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = -1. Let z(b) = 2*b**3 + 233*b**2 + 110*b - 695. Let h be z(-116). Let l(i) = -4*i**2 - 2. Calculate h*l(v) - 3*o(v).\nAnswer: -4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -2*q**2 + 7101595. Let r(a) = -a. Determine r(w(u)).\nAnswer: 2*u**2 - 7101595","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-30)\/(-50) - (-1)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 14 (b) -1\/7135 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 13 + 15 + 0 + -1 + (-189 - -163)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*n + n - 5*r = 65, 0 = -5*n - r - 397. Let h = n - -117. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.22 take away 4759076015023?\nAnswer: -4759076015023.22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: (6104\/(-224))\/109*-84\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(35) - sqrt(105)\/sqrt(3))*5*-6)\/(sqrt(84)\/(sqrt(12) + -5*(sqrt(12) - (sqrt(12) - (sqrt(192) + sqrt(12)))))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.129 and -43824.2?\nAnswer: 5653.3218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -3948, -3956, -3968, -3984, -4004, -4028?\nAnswer: -4056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8203 or -8204?\nAnswer: -8203","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 507597?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*o - 20 = 3*o. Let l(n) = 14*n - 11. Let f be l(1). Solve 2*a - 5 - 5 = o*g, -3*g - 6 = f*a for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*o - 8 = b, o - 2*o = b - 7. Suppose 0 = 6*m + 17 - 65. Solve 19 = -3*f - b*w - 2*w, 2*w = -m for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(k) = k**2 + 5*k - 8. Let b be o(-6). Let l be (4 + -1)\/(-6) - b. Is l not equal to 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1*(-5 + 4)*9. Sort h, 3, -1 in ascending order.\nAnswer: -1, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (62\/31)\/(50\/(-25))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = 3*s - 1. Let k be v(2). Suppose 6 + 0 = 3*z. Let f be 0*z\/6 - 5. Sort 2\/5, f, k in decreasing order.\nAnswer: k, 2\/5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = 11*d + 211. Let r be s(-12). Suppose -31*i + 76 = -r. Let k = 1 - 0. Solve 0 = i*t - k - 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 88 minutes after 5:41 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -62159 and -252?\nAnswer: 61907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Factor -39*h**3 - 279*h**2 - 42*h.\nAnswer: -3*h*(h + 7)*(13*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -11*k + 1. What is j(1)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 19546?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + l - 8 = 0. Let y be 0\/(3\/(9\/(-3))). Solve -a + 1 = y, -3*x + 2*x + l*a = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that w**5\/4 + 11*w**4\/2 - 33*w**3 + 45*w**2\/2 + 243*w\/4 = 0.\nAnswer: -27, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:49 PM and 9:05 AM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Is 92 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 12555 and 142560?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 331588 is divided by 66041?\nAnswer: 1383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 520 and 1040?\nAnswer: 1040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is next in 19820, 39635, 59448, 79259, 99068, 118875?\nAnswer: 138680","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -104*b**3*c**3*y**2 + 67158*b**3*c**3*y + b**2*c**3*y + 147*b**2*c**2*y - 1957*b**2*y**2 - 3*b**2*y wrt b.\nAnswer: -624*c**3*y**2 + 402948*c**3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 m and 1 o when two letters picked without replacement from mmfofmomoommoxmmmf.\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let z = -179 + 5381\/30. Let h(w) be the second derivative of -w + 1\/5*w**2 + 1\/30*w**6 + 7\/20*w**4 - z*w**3 + 0 - 17\/100*w**5. Factor h(s).\nAnswer: (s - 1)**3*(5*s - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1678549 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -79\/52770 and 17\/4005243.\nAnswer: 40052430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x(h) = -h**3 + 12*h**2 - 6*h - 11. Let s(v) = -v**3 + 13*v**2 - 7*v - 12. Let f(d) = 4*s(d) - 5*x(d). What is f(7)?\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/(h\/(h\/(h*h*h**(3\/7))*h)))**(2\/29) assuming h is positive.\nAnswer: h**(-6\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let z = 133 - 127. Suppose 0 = 9*l - 15*l + z. What is the remainder when 3 is divided by l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = u**2 - 3*u + 6. Let y be q(4). Let s be ((-8)\/y)\/(12\/(-30)). What is the third derivative of 0 - 2*j**4 - 2*j**s - j**4 + 0 wrt j?\nAnswer: -72*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (126*g + 127*g - 255*g - 5*g**2)*(-2 + 4 - 3).\nAnswer: 5*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -381 + 789 = -121*z - 15*z. Let i = -4\/9 - -11\/18. Let p = 1\/53 + -58\/265. What is the closest to 2\/5 in p, i, z?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*m + 0 = q - 3, -2*m = -2*q + 6. Suppose w = -m*u - u + 89, 0 = 4*u - w - 336. Is 15 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: (46 - 10 - 29) + -27\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(r) = r**3 + 17*r**2 + r + 20. Let n be m(-17). Suppose -4*p + n = -3*p. Is 13 a factor of ((-2)\/p + 0)*-3 - -11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be 48\/11*(-13167)\/(-133). What is the highest common factor of f and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-1)\/2 - 201\/6. Let f = i - -24. What is the remainder when 37 is divided by (3 + 4\/f)*5?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 3*(0 + sqrt(18) - sqrt(18))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k = -5 - -7. What is the remainder when 375\/15 + k*-2 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 269 - 254. Suppose 4*w - 177 = w. What is the remainder when w is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -37*l = -23*l + 56 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 6 - 8 - -9 - 8\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1040 - 1040.5. What is the smallest value in 8\/7, 5, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3.5, 1, 3, 4, -0.04 in decreasing order.\nAnswer: 4, 3.5, 3, 1, -0.04","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Sort 21, -2\/3, 3, -2\/5, -0.3 in ascending order.\nAnswer: -2\/3, -2\/5, -0.3, 3, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z = 5281 - 2003. What is the tens digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 822 by 137.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 88*f**2 + 87*f**2 + 89*f**2 + 94*f**2 - 347*f**2.\nAnswer: 11*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let r = 329 - 332. Which is the biggest value? (a) r (b) -0.2 (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of -680*a**3*p - 2*a**3 - a**2*p + 135*a**2 wrt p.\nAnswer: -680*a**3 - a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 294.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (((-18)\/(-81)*-3)\/2)\/(9\/180)?\nAnswer: -20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*c + d - 511 = -4*d, 0 = 4*d + 4. Let t be (-43)\/c - 26\/6 - -78. What is the highest common factor of t and 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence pd when two letters picked without replacement from {d: 7, p: 1}.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let c(o) = 2*o**2. Let h(a) = 1 - 1 + 22*a - 18*a. What is h(c(k))?\nAnswer: 8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let k(y) = -580*y + 7. Is k(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1 + 3. Let a(x) = 8*x**2 + x**2 - 11*x**k. Let h(m) = 0*m**2 - m**2 + 3*m**2. Give h(a(i)).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 - 1 - 3*b)*(-2*b**3 + b**3 - 3*b**3) + 9*b**4 - 3*b**4 + 7*b**4 + (4*b**4 - b**4 - b**4)*(3 - 3 - 1).\nAnswer: 23*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let m = -250225450113105 - -250225355981929.0000068. Let p = m + 94131138. Let i = p + 38. Round i to six decimal places.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {k: 1, e: 1, i: 1}. Give prob of sequence ke.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*g + 58*g - 19*g to i*g + c and give i.\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = 980*t**2 - 116*t - 173. Let n(q) = -327*q**2 + 39*q + 61. Let u(b) = 6*h(b) + 17*n(b). Find the second derivative of u(d) wrt d.\nAnswer: 642","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 37386 and 18693.\nAnswer: 37386","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let y = 126 + -116. Let n be 72\/4*5\/2. Calculate the greatest common factor of n and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (619\/(-4333))\/(2\/(8\/2)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or -2\/42295665?\nAnswer: -2\/42295665","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let r(p) = -p - 5*p - 13*p - 4*p. Let i(z) = -17508*z**2 - 3 + 8756*z**2 + 3 + 8758*z**2. Determine i(r(g)).\nAnswer: 3174*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 5*h*j**2*t*w + 4*h*j**2 - 79*h*j*t + h*j - 20837*h*t**2 - 2*h*w - 18*j**2*t**2*w + 24*j**2*t*w - 4 wrt t?\nAnswer: -41674*h - 36*j**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: (1278 + -1259)*168\/133\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of 40197, 81902, 123607, 165312, 207017?\n\"Answer: 41705*z - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(v) = -249*v - 2982. Let l be g(-12). What is the closest to l in -4, 2, -1, 3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 11178 by -138.\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: -44 times 1527\nAnswer: -67188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1413423 - -3215?\nAnswer: 1421042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be (-14 - -13)\/(1\/(-10)). Suppose -t*z = -11*z + 26. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -14 - 5*o + 2*o + 23 - 27 in the form k + g*o and give k.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 4261022?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 100001100011101011010 (base 2) to base 10\nAnswer: 1099610","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) be the second derivative of 2 + 1\/12*w**4 - 2*w**2 - 6*w + 1\/6*w**3. Calculate p(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b be 1409\/(35\/15 + -2). Suppose b + 5718 = 15*g. List the prime factors of g.\nAnswer: 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*s + 8 + 2 = 0. Solve -s*b - j - 8 = -4*b, -2*j = -b + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide 3042820 by 2.\nAnswer: 1521410","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let o(z) = -2*z**2 + 177*z - 2. Let w(b) = 6923*b. Give o(w(l)).\nAnswer: -95855858*l**2 + 1225371*l - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x + 5*c = -16162, 4*x - 13*c + 11*c - 64522 = 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 924 and 4575802?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*m = 4*p - 4779, 5*m + 10*p = 5*p + 7960. What are the prime factors of m?\nAnswer: 7, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 z and 2 n when three letters picked without replacement from {z: 2, x: 10, n: 6}?\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let h = 1.238 - 0.537. Let o = -6.701 + h. What is the nearest to 2\/5 in -2\/17, o, 4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*a = 4*m - 200, 3*m + a - 85 = m. Let h = -43 + m. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -97*h + 90*h + 476 = 0. Let y(l) = 61*l**2 - 3*l - 29 - h*l**2 + 5*l + 30. Let v(s) = s**2 - s - 4. Let b be v(3). Determine y(b).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(x) = -8406617*x**3 - 17397*x**2 + 52191*x. Let i(b) = 1933*b**3 + 4*b**2 - 12*b. Determine -17397*i(o) - 4*s(o).\nAnswer: -1933*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is -342138173 plus -3?\nAnswer: -342138176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let x(n) = -3*n**2 + 17*n - 37. Let r be x(4). What is the tens digit of (-6 - r\/3) + 584\/6?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of -a**4 + 671*a**3 - 2*a**2 + 111 wrt a?\nAnswer: -24*a + 4026","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth smallest value in -4, -1, -2\/27, -0.14, -129?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 3586 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 24 = -3*w, 0*x - 16 = -x + 3*w. Suppose 4*p = 5*p - 17. Let h(a) = -2*a - 3*a - p + a**2 + x. Calculate h(5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 147*z**4 - 1687*z**3 + 112729346*z**2 wrt z.\nAnswer: 3528*z - 10122","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*d - 1 = 1. Let o be d - -5*1 - 2. Suppose -1 = -z + o. Is 2 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1 - (2 - 4 - -3).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = -2*l**2 + 19*l - 4. Let g(k) = -k**2 + 10*k - 2. Let c = -10277 + 10280. Let a be 5\/(1 + -2 + 0). Let u(p) = a*g(p) + c*d(p). What is u(6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(99) + ((sqrt(99) - (sqrt(99) + 0) - sqrt(99)) + sqrt(99) - sqrt(99))**2 + sqrt(99) - (sqrt(1331)*2 - sqrt(11)).\nAnswer: -15*sqrt(11) + 99","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = 198*c - 416*c + 1 + 219*c. Suppose -8 = 3*q + q. Determine h(q).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 - 2*l - 2 - 6)*(2 - 2 + 1 + (-2 - 1 + 1)*(3 + 1 - 5) + 2 - 2 + 1 + 2 - 5 + 2).\nAnswer: -6*l - 15","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 2\/9*v**3 - 7\/9*v**2 + 1\/3 + 2\/9*v = 0 for v.\nAnswer: -1\/2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 2 - ((-117)\/(-36) - 2\/8). Let u(g) be the third derivative of g**5\/20 - g**4\/8 - g**3\/3 - g**2. What is the least common multiple of 16 and u(x)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 23*x + 758 = 276 + 114 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 140 and 145565.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 24\/(-1260)*-15*(-3311)\/(-22).\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} {"text":"Question: Let y = -72 + 74. Suppose -y*x + 668 = -0*w + 5*w, 5*w - 1655 = -5*x. Let q = x + -163. What is the tens digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*o**2 + o**2 + 12*o**2)*(9 - 6*o - 9 + (-4 - 1 + 3)*(0*o - 4*o + 2*o) + 0*o + 2*o - 4*o).\nAnswer: -44*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t = 460302\/161 + -2859. Let u = -3053\/322 - t. Let k = u + 9. Which is smaller: -0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 68791 to the power of 1\/2, to the nearest integer?\nAnswer: 262","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 312 (base 11) in base 13?\nAnswer: 22c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let y(f) = f**2 + 7*f - 6. Let h be y(5). Suppose h = -4*g + 694. Suppose -b = -2*b + 32. Calculate the highest common divisor of b and g.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) be the third derivative of 3305*u**4\/8 + 1570*u**3\/3 + u**2 - 567*u. Find the first derivative of a(s) wrt s.\nAnswer: 9915","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = -119*x - 26. Let l(y) = 60*y + 12. Give -6*h(j) - 13*l(j).\nAnswer: -66*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -1 - (1 - 3 - (13 + -16)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -49*r = -1762*r - 87363 for r.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*g + 3*o + 106 + 326 = 0, 4 = 4*o. Is 2 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 242050 and 193640.\nAnswer: 968200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*v + 6 = 18. Suppose h = 2*t - 6, v*h - 6*t + t = -12. Suppose n - 5*d = 20, -n - 2*n + 34 = -h*d. Does 2 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 12:26 PM and 7:26 PM?\nAnswer: 420","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Convert -100001111001100110101111 (base 2) to base 12.\nAnswer: -2b86927","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 4814 < 4811?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 25 - 5 = -10*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = k**3 - 26*k**2 + 30*k + 8. What is the remainder when a(25) is divided by 87?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 44 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 37096 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: Suppose 0 = 3*x - b - 171, 2*x - 91 = b + 24. Is 14 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13 - 27 = -4*g. Solve 0*z = -2*z - g for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.573 - -0.083. Let b = -0.01 + p. Let x = -5 + 4. What is the second smallest value in 1, b, x?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qkgvooeooekokeo. What is prob of sequence ooq?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*-1*sqrt(637) - (sqrt(637) + -1*sqrt(637) + -4))**2.\nAnswer: -224*sqrt(13) + 10208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 17988101 or 17988108?\nAnswer: 17988101","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(-2\/9)\/l**(-21)*l**(7\/3)\/(l**24*l))**43 assuming l is positive.\nAnswer: l**(-731\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let -h**4 + 551*h**3 + 13346*h**2 - 78444*h - 2417688 = 0. Calculate h.\nAnswer: -18, 13, 574","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 75776 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(850))\/(-2*sqrt(32)).\nAnswer: 5*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n = 304 + -47. Suppose -1231 = -4*y + n. Is y a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 223593 = 3692*o - 34847 for o.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Expand (0 + 0 + z)*(-13 + 13 + 5*z) - 18*z + 71*z**2 - 82*z**2 + 17*z**2 + 2.\nAnswer: 11*z**2 - 18*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose h = 0, -2*l = -5*h + h + 6. Let t(g) = g**3 + 5*g**2 + g. Suppose 5*d - 496 = -56. What is the remainder when d is divided by t(l)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -13846 + 67481 = -5*b. Let m = b - -235931\/22. Calculate the common denominator of 20\/3 and m.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: -867 divided by 243\nAnswer: -289\/81","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of 2675, 2670, 2657, 2636, 2607, 2570, 2525?\n\"Answer: -4*r**2 + 7*r + 2672","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = 22*j - 1312. Let l(p) = 32*p - 1967. Determine 7*k(h) - 5*l(h).\nAnswer: -6*h + 651","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = r**3 + 3*r**2 - r - 2. Let b be d(-3). What is the closest to 2 in -0.5, -2\/7, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (13\/(-26) + 1)*2. Does 165 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = 82 + -84. Let f be 2\/(-1) + -1 + -1. Let i be (3\/o)\/(f\/8). Which is the nearest to 2? (a) i (b) 2\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 2812 and 37.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-39)\/(-15) - 2\/(-5). Let l = 320813\/15 - 21398. Let h = -44\/5 - l. Which is bigger: h or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0004528318 to five dps.\nAnswer: 0.00045","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -2*s**2 - 46*s - 225. Let m be t(-6). Which is bigger: -191\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 40773330.\nAnswer: 2, 3, 5, 13, 34849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.1? (a) 8 (b) -16 (c) 2\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 11685 and 17876?\nAnswer: 5094660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.39 + -0.87. Let n = m - -1.56. Put 3, -3\/2, 5, n in decreasing order.\nAnswer: 5, 3, n, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 344775?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 39146590 and 1862?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify o**3*(o*(o\/(o*o**(3\/5)))\/o)\/o assuming o is positive.\nAnswer: o**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from aiadaddaiiuauuuiuud. What is prob of sequence aaaa?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Put 27, -1, 0 in ascending order.\nAnswer: -1, 0, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -111916 (b) 0.5 (c) 149\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 p when three letters picked without replacement from uzpzurzruuzzz.\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y = -18 - -21. Suppose 0 = y*n + 3, 3*h - 5*n = 4*h - 3. Suppose 2*s = 5*r + 61, 3*r + 2*r + 25 = 0. Calculate the smallest common multiple of s and h.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 15355 or 17784?\nAnswer: 17784","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose -18 = -z - 15. Let d be ((60 - 0)\/z)\/((-4)\/14). Let f be 7\/d + 14\/(-260). Sort f, -0.2, -2, -3 in decreasing order.\nAnswer: f, -0.2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 at most as big as 1265\/182?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 5930327 and 456179.\nAnswer: 5930327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m(f) be the first derivative of -13*f**4\/4 + 2*f**3\/3 - 11*f**2 - f + 339. Is m(-6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence wf when two letters picked without replacement from fdnggwwgngwwnfdwfd.\nAnswer: 5\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 + 2 + q)*(-3*q - 3*q + 0*q)*((2 + 2 - 6)*(q**3 + 3*q**3 - 3*q**3) + 1 - 2*q**3 - 1).\nAnswer: 24*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 a and 1 s when four letters picked without replacement from nssassnnsssansnsaan?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = 27*g + 603. Let t be q(-21). Solve 0 = -44*d - t*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -849*h**3 - 4*h**2 - 8*h - 10. Let m(k) = -848*k**3 - 5*k**2 - 10*k - 12. What is 4*m(p) - 5*u(p)?\nAnswer: 853*p**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -4\/27? (a) -24 (b) -2.2 (c) -1 (d) 2 (e) 1.7 (f) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 13248 and 9702918.\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b be 0\/(-2) + 3 + 0. Let n = b + 0. Let u(i) = 2*i - 6. Calculate the remainder when u(6) is divided by n.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (k**(-2\/11))**(-2)*(k**11\/k*k*k)\/k*k**(-10) assuming k is positive.\nAnswer: k**(15\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 53\/(-34450)*-25*-20?\nAnswer: -10\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 3\/5, -2\/13, 161\/24119?\nAnswer: 161\/24119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} {"text":"Question: Rearrange -5*c - 4*c + c - 4*c to u*c + g and give u.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let t(p) = -6*p**2 - 7*p + 9. Suppose j - 14 + 34 = -3*x, -j = 2*x + 13. Let v = 17329 - 17325. Let z(y) = -3*y**2 - 4*y + 5. Give v*t(m) + x*z(m).\nAnswer: -3*m**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 149\/580 - 1\/145. Let l(b) be the third derivative of 0 + 0*b**3 + 0*b + 2*b**2 + t*b**5 - 1\/4*b**4 + 7\/40*b**6. Suppose l(j) = 0. Calculate j.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - -1)\/(-14*1\/(2\/2)).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -16686 - -16692. Solve -s - 2*s = -q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-d + 5*d - 3*d + (2*d - 1 + 1)*(2 - 5 + 2) - 3*d + 3*d - d)*(0*d - d - 2*d + (1 + 3 - 6)*(-5*d + 0*d + 4*d))*(0*d - d + 2*d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4\/((-12)\/(-9)*11\/(616\/147)).\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2034169098.\nAnswer: 2, 3, 13, 29, 31, 29009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 12322, 12306, 12290?\nAnswer: 12274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {v: 3, f: 2, u: 1, y: 1, k: 3}. What is prob of sequence uk?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is (-219)\/(-146) + (9403\/2)\/1 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -28*n - 331. What is the remainder when g(-66) is divided by 169?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*v - 2*v + 215 = 0. Suppose -2*t + 17 = -0*t - 5*l, 38 = 3*t + 5*l. Calculate the remainder when v is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 3322, 3309, 3274, 3205, 3090, 2917, 2674, 2349?\nAnswer: 1930","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let y = 165.1 + -165. Which is the closest to -2? (a) -0.5 (b) 1\/3 (c) -5 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is (-1900619)\/21*48\/(-28) + (-3)\/(-7) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -s**2 + s + 12. Let c be a(0). Suppose 0*n = -3*n + c. Suppose n*f = f. Is 2\/13 at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 74 a factor of 666?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let a = -189 - -197. Suppose -a = 31*b - 35*b. Solve -d - 4 = b*l - 3*l, -d = 2*l - 8 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(q) be the third derivative of 0*q**5 + 11\/210*q**7 + 0*q**6 - 7\/6*q**3 + 0*q**4 + 0 - 2*q**2 + 20*q. Find the first derivative of d(p) wrt p.\nAnswer: 44*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from ojoojyj.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -10*m**3 - 19*m**3 - 38*m**2 + 16*m**2 - 29*m**2 + 23*m**3.\nAnswer: -6*m**3 - 51*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let t = -1326058.199997 - -1326051.2. Let y = 7 + t. What is y rounded to 5 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 35340?\nAnswer: 2, 3, 5, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is -3 - 33637?\nAnswer: -33642","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 36288 and 810?\nAnswer: 181440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 420 a factor of 25372203?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (t + 2*t - t)*(8 - 17 + 21)*(-1 + 0 + 0).\nAnswer: -24*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose -f = -3*m + 24, -8*f - 24 = -3*m - 9*f. Which is the nearest to m? (a) 0.2 (b) -2\/5 (c) -0.2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 3 is divided by (2\/5)\/(4\/20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: How many centuries are there in 730703.7 millennia?\nAnswer: 7307037","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify k*(k\/(k*k**(-10)\/k*k)*k*k)\/k*k**(-3)\/k assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let k(v) = -v**2 + 16. Let t be k(4). Let n(w) be the first derivative of -4 + t*w**2 - 2\/3*w**3 + 0*w. Let a(y) = -7*y**2. Determine n(a(m)).\nAnswer: -98*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let y(v) = -v. Let f(p) = p**3 + 5*p**2 + 12. Let l be f(-6). Let h be (2 + 0)*12\/l. Calculate the remainder when 1 is divided by y(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of 83, -321, -987, -1909, -3081, -4497, -6151?\n\"Answer: t**3 - 137*t**2 + 219","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 81 + -39. Calculate the greatest common factor of 14 and v.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1678200, -3356363, -5034526, -6712689, -8390852?\n\"Answer: -1678163*n - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 4 and 163450?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 6\/(-22) + (-195)\/(-715). Solve q = 28*j - 18*j - 30 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -384 = 113*k - 121*k. Suppose -10*a = -5*a, 4*m + k = -4*a. Let p(v) = v**3 + 12*v**2 + v + 8. Determine p(m).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -k - 3*k = -45512. Suppose -y - 3*y + 3*s = -k, 0 = -y + 5*s + 2853. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor c**3 + 3*c - 5128*c**2 + 5054*c**2 - 3*c.\nAnswer: c**2*(c - 74)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 39494 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is (-17*6\/(-1224))\/(((-90)\/(-48))\/15*-13)?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve 126 = -55*w - 71*w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is -0.199919102 take away 6?\nAnswer: -6.199919102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Multiply -3 and 81171254.\nAnswer: -243513762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (h\/h**(-7)*h\/(h*h**(1\/2))*h)**(-6\/11) assuming h is positive.\nAnswer: h**(-51\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12211.6*0.4.\nAnswer: 4884.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1271 is divided by 22.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/7 in -3, 0.2, -49, 0.31?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Factor 4*a**3\/5 + 2108*a**2\/5 - 68996*a\/5 - 111522492\/5.\nAnswer: 4*(a - 207)*(a + 367)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((6*((sqrt(720)*-3 - sqrt(720)) + 2) + 0)*-4)**2.\nAnswer: -110592*sqrt(5) + 6637824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -1 = i + 1, -m + 12 = -5*i for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Expand -4 + 3 - 4*w**4 - 8*w**4 - 2*w**3 - 5*w**4 + 2*w**3 + (3*w**4 - 6*w**4 + 2*w**4)*(-2 + 6 - 2).\nAnswer: -19*w**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = -389*s**2 + 11*s - 11*s + 90*s**2 + 282*s**2. Let q(g) = 6*g**2 - 15*g. Calculate q(t(y)).\nAnswer: 1734*y**4 + 255*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let u(i) be the first derivative of -i**5\/60 + i**4\/24 + i**2\/2 + 3. Let m(o) be the second derivative of u(o). Calculate m(0).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 200294980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Is 8695079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 467 minutes after 6:59 AM?\nAnswer: 2:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 272511 and 16947?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 6471 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 76144.44 grams?\nAnswer: 76144440000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 6 + -10. Let q = -1666357 + 1666362. Which is the nearest to -1? (a) q (b) 0.4 (c) -3 (d) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j = -250 + 225. Let m be (80\/j + 2)*10\/(-3). Solve -6 = m*x - 3*s + s, -s = x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 228108631 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: -4 + -1 + (11 - 11)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 13512765?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -11117259 or -11117258?\nAnswer: -11117259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 235 minutes before 6:38 PM?\nAnswer: 2:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k(x) = -2*x**2 - x. Let o(t) = t**2 + t. Let a(c) = 3*k(c) + 7*o(c). Let d be a(-4). Suppose 0 = -d*h - 2*h - 2*b + 50, 19 = h - 5*b. Is 14 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 at least -25\/109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m - 2. Let u be p(2). Let v = -6 + u. Let f = -1798 + 23372\/13. Which is the nearest to v? (a) 4 (b) 1.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14042119979 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 6275679?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q(y) = 7*y**2 - y - 4. Suppose -11 = 3*n - 5*g, -2*n + 3*g - 13 + 6 = 0. What is the tens digit of q(n)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -260 divided by -5.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 1.1 take away 3.8196?\nAnswer: -2.7196","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0 in -3, -33, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let s be (28\/(-8))\/(2\/(-4)). Let p = -3 + s. Is (-135)\/(-6)*p\/3 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of -1877, -1923, -1969, -2015?\n\"Answer: -46*n - 1831","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (162 - 478 + 123)*(-r**4 + r**4 - r**4).\nAnswer: 193*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (-8 - -3 - 3) + 6 + -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*g = 3*g - i + 34, 2*i = 5*g + 38. Let c = -5 - g. Suppose 4*x + 5*w = -12, 5*x + w = 5 + c. Solve z = -f - 4, x*z = -4*f - 4 - 6 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2*u*z**5 + 2*u*z + 963316*z**6 - 13974*z**2 wrt z.\nAnswer: -120*u*z**2 + 115597920*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -159 = -23*j + 140. Suppose -m + 3 = -7. Suppose -m*n - 309 = -j*n. What is the tens digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 5285?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2311?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let t = -22 + 31. Let r be 6\/t + 2\/(-3). Let s be 1\/(2 - 4)*r. What is s rounded to the nearest 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 6.8047 + 0.1253. Let q = 7.23 - r. Which is the nearest to -2? (a) -3\/5 (b) q (c) -0.3 (d) -17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(k) be the third derivative of -k**4\/12 + 6084*k**2. Let m(f) = -9266*f. Calculate y(m(x)).\nAnswer: 18532*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Does 193 divide 25288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*f = -2*f - 8. Calculate the lowest common multiple of f and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = -q**2 - 12*q - 8. Let o be y(-11). Find the second derivative of -3*p - p + o*p + 2*p**3 wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2\/4 - (-42)\/(-28).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let t be -3 + 1 - 1*-6. Let x be (-30)\/t*1188\/55. Let m be ((-2)\/(-3))\/((-12)\/x). Calculate the highest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -463 + 3238\/7. Which is the closest to -2\/3? (a) 12\/7 (b) 0.2 (c) 2\/19 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 0.1 - 0.05. Let f = -2.95 - q. Let w be (2\/3)\/(34\/(-6)). Which is the second biggest value? (a) w (b) 2\/3 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 65 + -58. Suppose -q*o + 2*o + 1125 = 0. Does 15 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(r) be the second derivative of 0 - 37\/10*r**5 + 0*r**4 - 25\/6*r**3 + 0*r**2 - 10*r. Find the second derivative of n(u) wrt u.\nAnswer: -444*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (11760\/(-14))\/10*52\/(-91).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(f) = f**2 + f - 154. Let w(v) = -v**3 + 6*v**2 - 10*v - 6. Let p be w(4). Let m be j(p). Is 10 at most as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 101 - -1113?\nAnswer: 1220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1765*v**2 - 2*v**3 + 1765*v**2.\nAnswer: -2*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*f - 17 = 2*l, 40 = 5*l + 2*f + 2*f for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 4118309 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 23859700 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -i**2*s*u**3 - 4*i**2*u**3 + 16*i**2*u - i*s*u**3 + 3*i*u**3 + s*u**2 wrt i?\nAnswer: -2*s*u**3 - 8*u**3 + 32*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 129146897.\nAnswer: 11, 1213, 9679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 + 8*i + 20. Let s be z(10). Is 23 a factor of 28 + s + -1 + 1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**2 - 17*y + 23. Let a be u(-18). Suppose -a*h + 16*h = 198. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) be the first derivative of 13*t**5\/5 + t**3\/3 + 159*t**2\/2 - 104. What is the second derivative of j(z) wrt z?\nAnswer: 156*z**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 127048\/7 or 18150?\nAnswer: 127048\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate 3 + (-9 - (2 - 7) - -5).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21732347, -43464696, -65197045, -86929394?\nAnswer: -108661743","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) 161\/12 (b) -3 (c) 0 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let 27*g**2 - 225306*g + 470025867 = 0. What is g?\nAnswer: 12517\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 7192308?\nAnswer: 2, 3, 599359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 31\/60 and 23\/330.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 2453816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*m = 5 + 29. Let x = -9 + 23. Let p = m - x. Solve 5*d = p*w, 5*d - 4*w = d + 8 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 336873237?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 2743 (b) -0.1 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -2*u - 13. Let j be z(6). Let k = 36 + j. Is k a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 243409343?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: -3412444232 (base 5) to base 11\nAnswer: -4295043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (-z + 0*z + 2*z)*(-1 + 2 - 2)*(3 + 4 - 4)*(-7*z**2 + 0*z**2 + 4*z**2) to b*z**2 + n*z**3 + l*z + x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 79 at least 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-7 + 3 - (-1 - 3)) + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Solve -30*k = -11*k - 19 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let z = 1255\/9 - 6257\/45. Determine h so that 2\/5*h**4 - 2\/5*h**5 - 2\/5*h**2 + 0 + 0*h + z*h**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*h - 25 = -29. Let x be -8*3\/(-72) + h\/6. Solve x = -4*r + 3 - 19 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1226905, -1226868, -1226831, -1226794, -1226757?\nAnswer: -1226720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose l + 171 = 4*l - 3*w, 2*w = l - 54. Is l a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -430 + 430. Solve r = -5*m - 14 - 6 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (-3 - (-2 + -1)) + (-3 - (9 + 7 - 42))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = 344 + 433. Calculate the remainder when p is divided by 52.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {b: 1, j: 4, y: 5, s: 3}. Give prob of picking 1 j, 2 y, and 1 s.\nAnswer: 24\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*s + 3*a - 74 - 108, -2*s + 71 = 3*a. Suppose p + 2*p - z = s, 0 = 2*z - 4. Is 13 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -0.1 + 0.3. Let z = -930 + 934. Let u = -14\/69 + -3\/23. Put p, z, u in decreasing order.\nAnswer: z, p, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 49 minutes before 3:43 PM?\nAnswer: 2:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*(18\/15)\/(16\/(-40)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 0 * -109.6\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(19) - (sqrt(19) + sqrt(209)\/(sqrt(44)\/sqrt(4) + sqrt(11) + sqrt(11))))*6 + sqrt(171) + (-1 + sqrt(171) - sqrt(171)) + -5.\nAnswer: -6 + sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 0.13*-1008.16.\nAnswer: -131.0608","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let c be -3*(35 + 6255\/(-135)). Suppose 0 = -2*b - 213 + 791. What is the highest common divisor of b and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 21724973?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*x = 3*t + 21, 3*t - x + 6 = 1. Let h be 3\/(-2)*(t - -1). Suppose 4*p - h = -3*v, -5*v - 14 - 1 = 0. Solve -c = -p*c - 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 538 minutes after 12:46 AM?\nAnswer: 9:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/4 in -1\/95, 0.2186, 0.5?\nAnswer: -1\/95","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2 - 1 - 2 + (-3 - 1 + 3)*(-3 - 1 + 2))*(-68 + 68 + 5*l).\nAnswer: -15*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 1 or 634\/335?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let m = 164 - 82. Let k = -36 + m. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, c: 2, b: 7, z: 7, t: 1}. Give prob of picking 2 z and 1 c.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*s + 97 = 85. Let r(m) = -2*m**3 + 11*m**2 + 9*m - 13. Let b be r(s). Suppose 0 = b*t + 12 - 47. What are the prime factors of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 192427189?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Express 2*m**2 + 10 - 2 + 3*m**4 - 6 as h + j*m + w*m**4 + l*m**2 + a*m**3 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.025 - -0.905. Let m = -4.62 - z. Let x = 5.494 + m. Round x to three dps.\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 337 minutes after 8:43 PM?\nAnswer: 2:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*p = -5*p + 88. Solve -p = -2*b - 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(w) = -1073*w. Let b(d) = -1286*d. What is b(p(q))?\nAnswer: 1379878*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of (11 - (-4598 + 0)) + 2*2?\nAnswer: 7, 659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 1\/3? (a) 4\/15 (b) -2 (c) -0.4 (d) -395 (e) -1\/268\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let q(d) = d**2 + 2*d - 7. Let b be q(-4). Let i be 27\/18*(19 - b). What is the tens digit of (-4)\/(12\/i)*-2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4.15917714 + 15.84081096. Let u = -81.8 - -61.8. Let v = u + s. What is v rounded to 6 dps?\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 divided by -2935.\nAnswer: 1\/587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 191 is divided by 176?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4161050?\nAnswer: 2, 5, 83221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q(o) = o**3 - 124*o**2 + 3779*o + 72. Let v be q(70). Let r = -9 - 0. Sort v, 3, -1, r.\nAnswer: r, -1, v, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 2*j**2\/5 + 2424*j\/5 + 734472\/5.\nAnswer: 2*(j + 606)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 6019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (12 - 12 + 2*z)*(-2 + 10 + 4)*(-2*z - 3*z + 0*z) to a + u*z**2 + c*z and give u.\nAnswer: -120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = -284*g - 233. Is k(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 33\/74 + 2\/37. Let x = -1 + 0.9. What is the nearest to -1\/4 in 0, x, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 17842 and 396?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 3730367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:40 AM and 6:31 AM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (d**(2\/3))**31*d**(-3\/11)\/(d\/(d*d*d\/(d*(d**(-1\/6)\/d*d)\/d))) assuming d is positive.\nAnswer: d**(1489\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*j**5 + 824*j**4 - 34848*j**3 + 369076*j**2 - 1211718*j + 653940 = 0.\nAnswer: -173, 2\/3, 5, 9, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y be (4075\/(-3150) - (-42)\/28) + (-3)\/7. Let l = 0.02 + 0.38. Which is the closest to y? (a) 22 (b) 1\/4 (c) -3 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 13411 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 769970 to the nearest integer?\nAnswer: 877","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*a - 3*z = -84, -2*a + 5*z + 60 = 3*a. Let s be (24\/(-10) + 2)*-5. What is the units digit of s\/5 - (-114)\/a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12240 and 28560.\nAnswer: 85680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put 17, -5, 2\/9, 5, 0.4, -20 in decreasing order.\nAnswer: 17, 5, 0.4, 2\/9, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let k = 189\/4 + -48. Let s = -0.2 - -0.4. Let c = 0.3 - 1.3. Put k, s, c in ascending order.\nAnswer: c, k, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(a) = 2*a**2 + 9*a + 8. Determine u(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the third derivative of -k**4\/3 + 10*k**3 + 12*k**2. Let p be q(-4). Calculate the greatest common divisor of 230 and p.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 104, -3, 2, 6, -2, 0.\nAnswer: -3, -2, 0, 2, 6, 104","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 18900 and 17150?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-2)\/3 - (-344)\/(-6). Let m = -2653 + 2767. Let j = v + m. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*t**5 + 45*t**3 - 45*t**3 + (-t**2 - 2 + 2)*(-2*t**3 + 6*t**3 - 3*t**3).\nAnswer: -4*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 64735071 divided by 4\nAnswer: 64735071\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let a(t) = -2*t. Let z(v) = -37*v**2 - 6*v + 6. Let d(p) = -p + 1. Suppose 2*i + 5 - 7 = 0. Let r(j) = i*z(j) - 6*d(j). Calculate r(a(f)).\nAnswer: -148*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1 in -10, -3, -791302?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let g(m) = -m + 71. Let x be g(0). Suppose -423 = -4*i - x. List the prime factors of i.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-3)\/(15\/(-2)))\/((-696)\/580)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -24 + 6?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q be (-1)\/(-4) - (9\/12)\/3. Let a(f) be the first derivative of 1\/24*f**6 + q*f**2 + 0*f**3 + 0*f - 1\/16*f**4 - 3 + 0*f**5. Factor a(w).\nAnswer: w**3*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3 + 10 - 1)*(-8*n - 21*n + 7*n)*(-5 - 1 + 5)*(-4 - 3 + 6)*(0*n**4 + n**4 - 3*n**4).\nAnswer: 528*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5750130\/371 + 108600\/7. Let p = -183416\/11925 + h. Let m = p - -8\/25. Which is bigger: 1 or m?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5 = 7*h - 2*h - 5*y, 2*h + 4*y = 2. Let c(r) = 44*r**2. What is the remainder when c(h) is divided by 0 - (-58)\/5 - (-56)\/140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of 2383, 1760, 1137, 514, -109?\n\"Answer: -623*m + 3006","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(350) + sqrt(350))\/sqrt(7) + (sqrt(198)\/(sqrt(22)\/sqrt(2)))\/sqrt(9))*5.\nAnswer: 5*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Convert 577613.7km to micrometers.\nAnswer: 577613700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*v = -0*v - 5. Let o = 12 - 10. Suppose 2*j + 2*j + 2*r - 18 = 0, j + o*r = 6. Solve -j*h - 9 = -v for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -h - 4*h + 381 + 15*h + 257.\nAnswer: 10*h + 638","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence bvbv when four letters picked without replacement from bbvvrbrrrrrr.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -902*s + 776. What is the hundreds digit of r(-9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (3 - 4 + 0)*(-249*t**3 + 3*t + 11*t**4 + t**2 + 249*t**3) in the form k*t**3 + n + v*t**2 + j*t**4 + p*t and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.2 * -0.4142496.\nAnswer: 0.08284992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 100917*i**2*u**3 - 1055*i**2*u + i**2 + 2*i*u**2 wrt u.\nAnswer: 605502*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.2, 0.4, -6 in decreasing order.\nAnswer: 0.4, 0.2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: 6817 (base 9) to base 7\nAnswer: 20455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Factor 15*o**3 + 39*o**2 - 27*o - 27.\nAnswer: 3*(o - 1)*(o + 3)*(5*o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Is 60 a factor of 168097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((n\/(n**(-1)*n)*n)**(1\/83)*(n**(-5\/2)*n*n)\/((n*n**(3\/8))\/n))**(-5\/3) assuming n is positive.\nAnswer: n**(2825\/1992)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: -150a00 (base 11) to base 16\nAnswer: -397ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = 7*b + 154. Let w be v(-21). Solve w*d - 3*d + 16 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -13130113 (base 4) in base 9?\nAnswer: -45734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Convert -114c590 (base 14) to base 13.\nAnswer: -1930566","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Round -7252.7567 to the nearest 10.\nAnswer: -7250","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 39611 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -5*o**3 + 9*o**2 - 4*o - 2. Determine d(3).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 55\/15534 and 75\/6904.\nAnswer: 62136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let x be 116\/14 - 2\/7. What is the highest common factor of 8 and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*t + 11*t. Suppose t = -4*m + 2*m - 54. Let v = 26 + m. Is 0 smaller than v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is -113 + -1133023?\nAnswer: -1133202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 10395619 to the nearest integer?\nAnswer: 3224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-3)\/30*1*-6.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s be 2 + (3 - (2 + -1)). Suppose -t + 3*j = -12, -3*t - 23 = 3*j - 59. Solve t = x + 2*u, 4*u + s = 24 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(j) = 320*j + 6408. Suppose 5 = 5*v - 4*v. Suppose -v*b - 4*u + 255 = u, 0 = 3*b - 4*u - 167. Calculate the remainder when b is divided by n(-20).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 27 = 8*k - 13. Solve 4*z + k - 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 201 * 0.6.\nAnswer: 120.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) = b**3 - 6*b**2 + b + 8. Let u be g(7). Suppose -4*l = -50 + 18. Calculate the greatest common divisor of u and l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 16*i - 3. Let y(t) = 7*t - 1. Let q(b) = 3*l(b) - 8*y(b). Calculate q(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 29151792 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.03 * 1082669\nAnswer: -32480.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand 5*d**4 - d**4 - d**4 + (-2*d**4 + 2 - 2)*(-2 + 7 - 3) - 3*d**3 + 3*d**4 + 3*d**3 - d**4 + d**4 + d**4.\nAnswer: 3*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -2\/5 (b) -0.2 (c) -36780.9 (d) 4 (e) -5 (f) -0.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0119 less than 71357599647?\nAnswer: 71357599646.9881","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 8:41 AM and 10:44 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) be the third derivative of -h**5\/20 - h**4\/12 + h**3\/3 + 7*h**2. Suppose 0 = -0*l - 4*l - 8. Give d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(k) = k**2 + 5*k + 1. Let j(v) be the second derivative of -1\/3*v**3 - 26*v + 0 + 27\/2*v**2. Let o be j(16). What is s(o)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -2d - -2c?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Are 37672 and 37670 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -2391*q**6 - 3*q**4 - 48*q**3 - 2026*q**2 + 143 wrt q.\nAnswer: -286920*q**3 - 72*q - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 7379125 and 351091?\nAnswer: 3107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 2152 and 7224?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jww when three letters picked without replacement from {w: 12, j: 6}?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let y(j) = -2*j**3 - 2*j - 1. Let g be y(-2). Let p = -10 + g. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -703, -1404, -2087, -2746, -3375, -3968?\nAnswer: -4519","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 378, 998, 2034, 3486, 5354?\nAnswer: 7638","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 72 + 6882?\nAnswer: 6914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (x**(2\/19)*x*(x**(-13)*x)\/x)**(-1\/53)\/(((x\/((x*x**(-2\/5)\/x)\/x)*x)\/x**0)\/(x**(2\/5))**(29\/3)) assuming x is positive.\nAnswer: x**(10439\/15105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -1001*y = -957*y - 1276 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a litre in millilitres?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 150699531.\nAnswer: 1\/50233177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-3)\/(12\/5))\/((-15)\/(-8400)*28).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 124754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -20 - -35. Let t(d) = -7*d**2 + i*d**2 - 10*d**2 - 9*d**2. Let w(x) = 2*x**2. Determine w(t(v)).\nAnswer: 242*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-11)\/(-154)*14)\/((-5)\/(-120)*15)?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12*v - 61 = -1. Solve v*l + 19 - 4 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 i and 1 z when two letters picked without replacement from tzimg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.1 in 1, 0.03, -1, -1.7, 7?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -1\/5? (a) -0.04 (b) -10 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-23 - (-18 + 13)) + 6.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: 45021 (base 6) to base 5\nAnswer: 200102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 11\/212 and -57\/1166.\nAnswer: 2332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 13 in -16\/7, 114, -2, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Work out -84031 * -2208.\nAnswer: 185540448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 + 3 = -2*k, -y + 3 = 3*k. Calculate the common denominator of y\/(-1) + 102\/(-9) and 19 - 4494\/238 - 1388\/(-918).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21\/6*108\/(-42)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 20 - 4341100110?\nAnswer: -4341100040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let a = 0.698 - 0.078. Let c = -1.32 + a. Let y = 0.3 + c. Sort -3, y, 1.\nAnswer: -3, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Find q such that 2*q**5\/21 - 148*q**4\/7 - 10736*q**3\/21 = 0.\nAnswer: -22, 0, 244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vjaivjbibjbbiijj.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2962?\nAnswer: 2, 1481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let r = 5.53695 + -6.407159. Let n = r + 0.87. What is n rounded to 4 dps?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) be the second derivative of 0*l**2 - 35\/3*l**3 + 5\/12*l**4 - 72*l + 0. Factor x(z).\nAnswer: 5*z*(z - 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -25 + (18 - (8 - (-13 + 18))).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 127\/4712620 and -85\/471262?\nAnswer: 4712620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-581475)\/50*(-4)\/(-6). Let s = o - -14588. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 2, r: 2, p: 4}. Give prob of sequence gp.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1.2 + 0.2. Let j = 0.278 + 239.722. Let z = 243 - j. Which is the nearest to -0.12? (a) -2\/3 (b) k (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 292 minutes after 1:27 PM?\nAnswer: 6:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: (10 - 32) + 1 - (-6 + -3 + -4)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 644611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 275776?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 49372 and 12932?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 109332028 and 24934.\nAnswer: 3562","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*f = 2*m + 20, 0 = -3*f - 5*m + 38 + 8. Let l be ((-16)\/f)\/((-4)\/15). What is the biggest value in -0.4, 2\/71, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-15 - 5808\/(-162)) + 1260\/(-60)?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*y + 4*i - 9 = 0, -2*i = -3*y + i + 27. Let r(b) = b - 7. Calculate r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*m - 8 = 3*g, -m + g + 8 = m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 418689.5 litres?\nAnswer: 418689500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let c = 545 - 545.0000824. Round c to five decimal places.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3 (base 15) in base 16?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Work out 26 * 268435.\nAnswer: 6979310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 28879 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -20*t**4 - 24*t**4 + 38*t**4 + (-t - 45 + 45)*(-t**3 + 2*t**3 + 0*t**3) in the form z*t + h*t**2 + f*t**3 + j + m*t**4 and give m.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Divide 0 by -46587.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is 9.56 + -2?\nAnswer: 7.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 68*t + 162*t + 423 + 77*t - 307*t + 15*t**2 - 419.\nAnswer: 15*t**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d*d*d*d**(-4\/9)*d*d)\/d)**(-2\/15) assuming d is positive.\nAnswer: d**(-64\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve 10*y - 170 = 0, -20*b + 17*b + 2*y = 22 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let i(n) = n**3 - 5*n**2 - 10*n - 13. Let u be i(11). Suppose 5*p - 157 = u. What is the highest common divisor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -1111, -1475, -2083, -2935, -4031?\n\"Answer: -122*k**2 + 2*k - 991","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 495*l - 59112 = 57602 + 84256. Solve 408*z + 14 = l*z for z.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(l) = 2*l + 6 - 3 - 6*l. Suppose 3*q = u - q - 8, 4*u + 4*q - 32 = 0. What is the remainder when d(-5) is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -639 and 24.\nAnswer: -15336","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*h - 2*h + h + 6*h - 2*h - h + (6 - 4 + 0)*(-h + h + 3*h) + 2*h + h - h)*(-3 + 3*h**2 + 3)*(0*h + 2*h - 3*h).\nAnswer: -30*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: 77006800 divided by 10\nAnswer: 7700680","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is (-4*6\/(-924)*7)\/((-4)\/2)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify (u**(1\/2)\/(u\/(u*u**(-4))))\/(u**(2\/13)\/u**4) assuming u is positive.\nAnswer: u**(9\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.5 - 800265.1424.\nAnswer: -800264.6424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g + 12 = -4*c, -2*g + 3*g - 5*c = 1. What is the units digit of 498*5*(g - 9\/(-2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1726 - -51781\/30. Let c(z) be the third derivative of 0*z**5 + q*z**6 + 4*z**2 + 0 + 1\/24*z**4 + 0*z**3 + 0*z. What is c(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify y**(-3\/14)*y\/(y**(-9\/2)\/y*y) assuming y is positive.\nAnswer: y**(37\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -1 + 2*i**2 + 1 + (-3*i - i + 2*i)*(2*i + 2*i - 3*i) + 4*i**2 + 3*i**2 - 4*i**2.\nAnswer: 3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*x - 5 = 4*z, -24 = -3*z - 5*x - 6 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*l - 6 = 3*b - 2*b, -3*b = 5*l - 22. Suppose -15*r**4 + r**2 + 13*r**4 + r**l = 0. Calculate r.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(k) be the first derivative of -k**3\/3 + 219*k**2 - 47961*k - 3652. Solve q(x) = 0.\nAnswer: 219","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.3, -3\/7, 2, 54\/5, 15 in ascending order.\nAnswer: -3\/7, 0.3, 2, 54\/5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(18)\/sqrt(216)*1.\nAnswer: sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {i: 1, e: 2, x: 2, z: 4, t: 1}. What is prob of sequence xiz?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:43 PM and 6:45 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -1176*j - 453930. Determine l(-386).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is next in -559, -852, -1341, -2026, -2907, -3984?\nAnswer: -5257","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.298*4469.4.\nAnswer: -1331.8812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -16375 times -127?\nAnswer: 2079625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: 42992322 - 7.61\nAnswer: 42992314.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3 + 62*s - 4 - 116*s - 453*s**3 + 582*s + 452*s**3.\nAnswer: -s**3 + 528*s - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 11? (a) 23 (b) -2 (c) 0.5 (d) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.5 - 2.7. Let h = 0.2 - 1.2. Let y = 0.5 + h. Sort y, o, 0.2 in decreasing order.\nAnswer: 0.2, o, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-17 - (-25 + 20)) + (-5 - -2).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let c be (10\/45*-6)\/(3\/(-9)). Solve -c*d = -0*d - 16 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -4\/7, 3\/2, 2\/91, -0.1 in decreasing order.\nAnswer: 3\/2, 1, 2\/91, -0.1, -4\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(s) = -6*s**2 + 206*s - 2. Let t(z) = -5*z**2 + 205*z - 2. Determine 7*t(d) - 6*x(d).\nAnswer: d**2 + 199*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let v be 2\/12 - 2940\/(-72). Let p(u) = -v + 20*u + u + 0 + 0*u. Is p(20) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) = 21*u + 5*u**3 + u**2 - 22*u - 4*u**3. Let w(r) = 2*r**3 + 3*r**2 - 6*r. Determine -4*q(k) + w(k).\nAnswer: -2*k**3 - k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t**3 + 3*t**2 - 2*t + 3. Suppose 8*b - 84 = -116. Give l(b).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2 in -3, -3\/13, -17\/59?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -649.52 + -1.48. Let d = -650.9 - w. Suppose -4*l = -5*m - 7, 4*m - 2*m - 4 = 5*l. What is the nearest to d in 1, 0.4, m?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 22758 and 30.\nAnswer: 113790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: -282252 divided by 6564\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -20537*b*i + 156655*b + 17*i wrt i?\nAnswer: -20537*b + 17","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-35)\/7*14\/70.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*z - 3471 = 232. List the prime factors of z.\nAnswer: 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = 5842 - 4058. Let q be c\/(-3)*3\/(-2). What is the common denominator of -50\/7 and (-2)\/8 - q\/(-176)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 116955856*g**3 - g**2 - 55265878*g?\nAnswer: 701735136*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*m**4\/5 - 8*m**3\/5 - 3*m**2\/5 + 2*m\/5.\nAnswer: -m*(m + 1)*(m + 2)*(3*m - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Divide -1571086 by 1.\nAnswer: -1571086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let p(k) = -47*k. What is the units digit of p(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the second derivative of -c**6\/120 + c**3 + 32*c. Let u(h) be the second derivative of m(h). Let v(t) = 9*t. What is v(u(r))?\nAnswer: -27*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 16*w + 1356 = 1276 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3*sqrt(57)\/(sqrt(132)\/sqrt(11) + sqrt(3))*2.\nAnswer: -2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -89.3, -5, 10, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 2*t**2*x*z + 2*t**2*z + 6*t**2 + 3*t*x**2 + 159*x**2*z - 4 wrt x.\nAnswer: 2*t**2*z + 6*t*x + 318*x*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 7*l - 23*l = 15*l + 310 for l.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let k be 3\/(((-3)\/(-1))\/3). Suppose 3*m = -y - k*y - 11, 0 = -4*m + y + 17. Solve 3*u + m = -3 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-4 + 14 + 3)\/(1\/40). Let m = x - 369. What is the tens digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (8*(-5)\/(-40))\/10.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 87480208 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*v**2 + 36723498*v + 112384608779667.\nAnswer: 3*(v + 6120583)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (-659*j**3 - 353*j**3 + 432*j**3)*(-2 - 1 + 5)*(-j + 5*j - 3*j + (1 - 2*j - 1)*(3 - 5 + 1) - 4 - j + 4).\nAnswer: -2320*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (12\/(-10))\/(4\/10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 458 a factor of 22571957?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {g: 3, l: 2, a: 10}. What is prob of picking 2 g?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let o(f) = -f**2 + 12*f + 53. Let p be o(15). Suppose p = 2*d - 5*k + k, 0 = -5*k + 20. Calculate the lowest common multiple of d and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -1.4 from 12807407398.\nAnswer: 12807407399.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = -14*l**2 - 154*l + 10. Let x be q(-11). Solve -k = 4*w - 15, -5*w + 5*k = x*k - 15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -7*n + 6*n = -14. Calculate the highest common divisor of n and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: -5 * -5967.5\nAnswer: 29837.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 1146 + -16374?\nAnswer: -15226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 1572*m - 2348*m + 1206*m - 4730 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let q(u) be the third derivative of 5*u**4\/24 - 8643*u**2. Let p(o) = -398*o. Give q(p(c)).\nAnswer: -1990*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-19)\/4)\/(-2 - 35\/(-20)). Suppose v - 199 = 4*y. Let f = y - -49. Solve -g = -f*k + 8, 2*g - 10 = -5*k - 0 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -b**4 - 65*b**3 - 17*b**2 - 148045*b wrt b?\nAnswer: -12*b**2 - 390*b - 34","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 274*n**2 + 55*n**3 - 274*n**2.\nAnswer: 55*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -0.112 and -0.274?\nAnswer: 0.030688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 466*v - 370*v - 3264 for v.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let i(h) = 9*h**3 - 530*h**2 + 454*h + 580. Determine i(58).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k = -4459 + 4453. Sort 2\/29, 0.5, k in ascending order.\nAnswer: k, 2\/29, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*sqrt(20))**2 + 5.\nAnswer: 185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 467 is divided by 17?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = -c**3 + 7*c**2 - 5*c + 12. What is z(7)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k*k**(-8)*k*k)\/k**(-2)*(k\/k**0)**42)\/(k**(-2\/51)*k*((k**(1\/5)*k)\/k*k)\/k)**(-6\/11) assuming k is positive.\nAnswer: k**(37057\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let p = -782 + 872. Solve 16*y + p = -14*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 3 + 0 + (4 - 2) + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let k = -548 + 598. Is (-211351)\/(-70) + (-15)\/k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -177\/4 - -44. Let z = 38227\/76458 - -1\/38229. Which is the closest to 2\/3? (a) -0.4 (b) q (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 4 + ((-1476)\/(-21) - (-6)\/(-21)). Suppose 0 = -75*q + u*q + 67. What are the prime factors of q?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*w - 1 = -a, -3*a - 11 = -3*w - 5 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -11197*g - 43992. Determine c(-4).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: (6\/(-9)*-2)\/((-18)\/(-3))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2738169 meters in micrometers?\nAnswer: 273816.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i be ((-4)\/2 + 9)\/1. Suppose 5*q = i*q - 54. Let d(z) = -z**3 - 13*z**2 + 5. Let o be d(-13). Solve o*n - p = -28, -5*p + 8 = -4*n - q for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(v) = -v**2 + 19*v + 13. Let o be a(19). Let k(j) = -2*j + 11 + 2 - 13 - o. Let i be k(-10). What is the highest common factor of i and 77?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) = -19*c**2 - 46*c - 14. Let d(p) = -12*p**2 - 31*p - 9. Give 8*d(y) - 5*m(y).\nAnswer: -y**2 - 18*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let q(m) be the first derivative of -11\/18*m**4 + 4\/9*m**6 + 14\/45*m**5 - 121 - 1\/9*m**2 + 0*m - 14\/27*m**3. Determine f, given that q(f) = 0.\nAnswer: -1, -1\/3, -1\/4, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: -9 divided by 144\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let i be 5488\/(-6)*(-39)\/26. Suppose x - 3*o = 1385, 2*x - i - 1430 = -2*o. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 9300? (a) -7 (b) -5 (c) -0.4 (d) -0.1 (e) 0.2 (f) 4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let a = -220 - -402. List the prime factors of a.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 12, what is -34 - -595?\nAnswer: 561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t be 4\/(-10)*15\/(-3). Let r be 9\/6 + t\/4. Solve i + 18 = -2*i + 3*w, 0 = -4*i - r*w for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((d\/(d\/d**(-5)))\/(d*d\/d**(2\/29)*d)*(d\/(d**(1\/3)\/d))**(2\/69))**(-3\/20) assuming d is positive.\nAnswer: d**(2366\/2001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 31\/1755 and 92\/141131835.\nAnswer: 141131835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (9\/(-6))\/1*8\/18.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from pawwyacq. Give prob of sequence wca.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 8 and 440?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let y(h) = h**2 - 4*h + 4. Let b be y(2). Suppose b = 3*r + 3 + 6, -2*q + 2*r = -124. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 15298 and -0.5.\nAnswer: -7649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -f**3*x**3 + 7*f**3*x + 12*f**3 + 40*f**2*x + 97*x**3 wrt f.\nAnswer: -6*x**3 + 42*x + 72","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let h(x) = 398*x**2. Let i(o) = 5*o. Give h(i(l)).\nAnswer: 9950*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s be (840\/182)\/(-12)*19\/12. Let o = -3\/52 + s. Which is the third smallest value? (a) 3 (b) 3\/5 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 215143511 (base 7) in base 14?\nAnswer: 1a184b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*n + 4*u - 2*u - 94 = 0, 2*u - 16 = -n. What are the prime factors of n?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 133423 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*s - 300 = 2*x - 318, -11 = -9*x + 4*s for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = 2*b + 66*b**2 - 2*b - 64*b**2. Let y(u) = 0 + 0 + 4*u. What is q(y(h))?\nAnswer: 32*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (-c + 4*c - 2*c)*(-1 - 2 - 3)*(3*c - 3*c + 2*c).\nAnswer: -12*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Solve -276*b + 30 = -273*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = 6*k + 50. Calculate the remainder when j(18) is divided by 27.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.2? (a) -1 (b) 0.5 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*l + 0*l - 12*l + (-l + 3*l - l)*(3 + 2 - 3) + 5*l - 2*l - 2*l)*(l - 4*l + 4*l)*(1 + 0 + 4)*(0*l**2 + 0*l**2 - l**2).\nAnswer: 35*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let d(y) = -46*y**3 - y**2 + 2*y. Let v be d(-1). Suppose -40*u + v*u - 48 = 0. Solve -u*r = -18*r - 8 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.38516 + -105110.\nAnswer: -105109.61484","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -31276 divided by -5?\nAnswer: 31276\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose a = -3*a + 288. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand t**5 - 8*t**3 + 8*t**3 - 2*t**4 + 3*t**4 - 2*t**5 - 3*t**4 + (0 - 2*t + 0)*(2*t**4 - t**3 + t**3).\nAnswer: -5*t**5 - 2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let a(b) = 7*b**2 + 11*b + 6. Let n be a(-13). Let v = n + -458. Suppose -5*y = y - v. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -117 + 108.2. Let c = -9 - z. Sort -5, -1\/2, 5, c in decreasing order.\nAnswer: 5, c, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*i**2 - 74*i + 6 - 81*i - 5*i**2 + 155*i.\nAnswer: -5*i**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate -5 + 8 + (1 - -6) + 0 + -30.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Divide -13356 by -126.\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -n**2\/2 + 60555*n - 2179332 = 0. What is n?\nAnswer: 36, 121074","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = -2108 - -2105. Let w = 4\/153 + 874\/1683. Which is the smallest value? (a) -13 (b) t (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*q - r = 16, -2*q - 5*r = -2 + 10 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4888648?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Convert -1111011000111111100110 (base 2) to base 13.\nAnswer: -ab34ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 62958838 to the power of 1\/3, to the nearest integer?\nAnswer: 398","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let z be ((-165)\/10)\/3 + 6. Let a(d) be the first derivative of z*d**2 - 2*d + 3. Let l(j) = -2*j + 5. Calculate -10*a(h) - 4*l(h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((30\/27)\/(-1))\/((-10)\/12)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 57, 188, 409, 726, 1145?\nAnswer: 1672","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*9\/(-54) + 30\/117.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in seventy-one fifths of a litre?\nAnswer: 14200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 104 minutes before 5:52 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let t = -4728 - -7768. Suppose -5*x + t = -k, 6*k = -x + 4*k + 597. What are the prime factors of x?\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*l - 616 + 634. Suppose -4 - 6 = -5*n. Solve -l*q - 12 = n*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 4\/3 in 3\/8, 13.81, -4, -2\/5, -10?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*z + 8*z - 10*z.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 152 and 57684?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -193 = 8*l + 79. Let v = l - -61. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(i) = -2 + 2*i - i + 3 - 3*i. Suppose -5*b + 15 = 45. Determine o(b).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50*c - 8 = 46*c. Solve 4 = -2*f - c*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*t = 5 - 17. Let n = 5 + t. Let x be 2 - (n - (-20000)\/(-2)). Round x to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -86 or -696556\/8171?\nAnswer: -86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is next in 21, 49, 77?\nAnswer: 105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the th term of -44015, -176028, -396047, -704066, -1100079, -1584080, -2156063, -2816022?\n\"Answer: b**3 - 44009*b**2 + 7*b - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 8.2 and 872663?\nAnswer: 7155836.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let m(i) = 15479*i - 7522800. What is m(486)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort -203, 2, 66.\nAnswer: -203, 2, 66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let c = 36\/155 + -1513\/775. Calculate the common denominator of 41\/15 and c.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 1 or -1\/24?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth biggest value in -1, 1\/3, 0.68, 0.5, 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*g - 16 = c, 4049*c = 2*g + 4050*c + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 70348.\nAnswer: 2, 43, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let g = 7421 + -7420.9. Which is the nearest to 2? (a) 2\/103 (b) 3 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1600 is divided by 529.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Multiply 6.352656 and -0.1.\nAnswer: -0.6352656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i + s = 26, 4*i = -13*s + 16*s + 18. Suppose 3*a - 3*u - 117 = 0, 7*u = -5*a + i*u + 207. What is the remainder when a is divided by 18?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -75265 + 75323. Suppose 50 = 4*y + y. What is the smallest common multiple of q and y?\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*z - 12 = -2*p + 12, 9*p = -z + 23. Let u(b) be the first derivative of -22 - 4\/15*b + 1\/5*b**p - 2\/45*b**3. Find m, given that u(m) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*c - 676*o - 30 = -678*o, -3*c + 13 = 5*o for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let r(g) = -93*g + 636. Let s be r(8). Let m = 1 + -0.7. What is the biggest value in -2\/7, s, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(j) = -j**3 + 8*j**2 - 5*j + 7. Let g be q(7). Suppose -2*w - w - g = 0. Let b = 14 + w. What is the least common multiple of 5 and b?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 659, 1328, 2007, 2702, 3419, 4164, 4943?\n\"Answer: p**3 - p**2 + 665*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 1\/2 in 1, -125, -2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -287198, -287196, -287194, -287192, -287190, -287188?\nAnswer: -287186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: How many tonnes are there in 58.5354 milligrams?\nAnswer: 0.0000000585354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from ktkkktktkkkyka. Give prob of sequence kt.\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*3*sqrt(102)*-1)\/(sqrt(72)\/(sqrt(12) - (sqrt(1200)*-1 + sqrt(1200) - sqrt(1200)) - sqrt(12))) + -1.\nAnswer: -1 + 90*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -6 + 52?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -522 (base 6) to base 16\nAnswer: -c2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6082490?\nAnswer: 2, 5, 523, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 29838 divided by -6.\nAnswer: -4973","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let j be (7 - 12)*(2 + (-46)\/10). Suppose -3*o = 3*f + 36, -5 + j = -4*f. What are the prime factors of (5\/2 + o\/(-20))*29?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -1132, -6298, -14908, -26962, -42460, -61402, -83788?\nAnswer: -109618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from kkkkkkukkkukkkkkkkuk. Give prob of picking 3 u.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve 4594*q = 4664*q + 1120 for q.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(p) = -p**2 - 25112*p + 880086. Calculate y(35).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 9366207 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose 112*k - 119*k + 756 = 0. What are the prime factors of k?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 107\/54 and 125\/126.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jzmt when four letters picked without replacement from pztjptpzzm?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqqbbqbqqqqbqbqq. Give prob of sequence qb.\nAnswer: 65\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 665 minutes before 12:58 AM?\nAnswer: 1:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let p = 4.161 - -0.839. Let o = -5.81 - 0.19. Let a = o + 9. What is the nearest to -0.1 in 2\/13, p, a?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify sqrt(35)\/((sqrt(80) - sqrt(5))*5 - sqrt(5) - sqrt(5)).\nAnswer: sqrt(7)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Is -157 smaller than -3914?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express -71 + 71*l**2 + 133 + 85*l**2 - 62 as u*l**2 + o + m*l and give u.\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (-294)\/(-49)*14\/24*(-88)\/154.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let r(a) be the third derivative of 43*a**5\/60 - 7*a**2 + 3. Let k(u) = -4*u. Determine r(k(i)).\nAnswer: 688*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 17607 + -17604 + -1 + -18.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the rth term of -143, -12, 105, 202, 273, 312, 313?\n\"Answer: -r**3 - r**2 + 141*r - 282","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.001608247 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 6133385 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve 164 = -4*a - 19*x + 156, 5*a = -x - 16 + 6 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1 + 0. Suppose 4*s - 13 - 21 = -2*g, 4*g = 3*s + 35. What is the lowest common multiple of t and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be ((-8)\/(-6))\/(10\/30). Let w(o) be the third derivative of -1\/24*o**6 + 0 - 2*o**2 + 1\/3*o**3 + 0*o + 5\/24*o**r - 1\/30*o**5. Factor w(k).\nAnswer: -(k - 1)*(k + 1)*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 960\/(-2772) + (-42)\/(-693).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 - 2553*l**3 - 4059*l**3 + 1 + 696*l**3 + 237*l**3.\nAnswer: -5679*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*a + 5*k - 31 = 13*a, 5*a - k + 44 = 0. Let n = -2 + 14. Let j = a + n. Solve -4*v = w - j*v, -4*w = 3*v - 1 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: -3186330 divided by 1062110\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let x be 1593 - (-11 - (-1 - 3)). Calculate the highest common divisor of 64 and x.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-11 - 3) + (13 - 4) - -39?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x be ((-24)\/(-12))\/(-10) + (-27)\/15. Sort x, -1, 3, -3, 207 in ascending order.\nAnswer: -3, x, -1, 3, 207","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = -61*b + 123*b - 58*b + 29. What is w(-9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from emtitmdd. Give prob of sequence mmet.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7254.\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Divide -1309 by 67.\nAnswer: -1309\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: 144735914 divided by 1\nAnswer: 144735914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Expand (1 + 0*j**3 + 3*j**3 - 2*j**3)*(-6*j + 0*j + 5*j).\nAnswer: -j**4 - j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = 14*y. Let p(l) = -2148*l**2 + 4*l + 100. Give u(p(a)).\nAnswer: -30072*a**2 + 56*a + 1400","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: (-5)\/2*(-1940)\/(-16975)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 532 minutes after 7:05 PM?\nAnswer: 3:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*n + 3 - 3 - 18*n + 16 - 16 + (4 - 1 - 2)*(16 - 12 - 7)*(4 - 4 + n).\nAnswer: -24*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*t**3\/7 - 279021*t**2\/7 + 8372655*t\/7 - 8971425.\nAnswer: -3*(t - 15)**2*(t + 93037)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Expand (2 - a**2 + 2*a**2 + 0*a**2)*(3*a**2 + a**2 - 5*a**2).\nAnswer: -a**4 - 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 2\/9? (a) -2\/5 (b) -2 (c) 2 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 1281*w + 1271*w + 11 - 7 - 2552*w + 207*w**2 to z*w**2 + f + l*w and give f.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Is 58402609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(119) + -2*sqrt(119)*2 + (sqrt(119)*-3 - sqrt(119))*-2)\/(6*4*sqrt(1008)).\nAnswer: 5*sqrt(17)\/288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let t = 20 + -19. What is the closest to t in 1\/8, -1\/7, -0.01?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -4*r - 1. Let m be o(2). Let u(z) = -9*z - 11. Let v(a) = -7*a - 9. Let n(w) = -3*u(w) + 4*v(w). Give n(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h be (1 - 14\/8)*4. Let c(q) = q**3 + 85*q**2 + q + 87. Let r be c(-85). Put -2, h, r in descending order.\nAnswer: r, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 - (-7 + 0 + (3 - 5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 280\/96*(-60)\/42*((-2024)\/33)\/(-46).\nAnswer: -50\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(j) = 2*j**2 - 3*j - 3. Let w be b(3). Suppose -5*x = -4*x - 16. Suppose -r = -w - x. Does 11 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-2)\/((-24)\/106) - (-2)\/12. Suppose 3*o + m = -5*i + 323, -2*i + 120 = 4*o. What is the highest common factor of 64 and i?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 63006*n + 19720858. Determine b(-313).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = k**3 + 4*k**2 + 4. Let x be f(-4). Suppose -x*t = -12 - 4. Suppose j = -j + t. Solve 11 = -j*s + 3 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 2.257389l?\nAnswer: 2257.389","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 11\/47600 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = o**2 + o + 2. Let u be p(-3). Suppose 3*c + u = 11. Sort c, -6, -2, 4.\nAnswer: -6, -2, c, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -486*s = -223*s + 7890 for s.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = -w**3 + 4*w**2 - 2*w + 2236. Let k be y(0). Calculate the highest common factor of 65 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -12 + -201020?\nAnswer: -201102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Put 22, -42, 375 in ascending order.\nAnswer: -42, 22, 375","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the tenth root of 671 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Sort 57, 5, -0.3 in decreasing order.\nAnswer: 57, 5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*b + 4*c - 64, 2*b + 4*c + c = 69. Let d = b + -15. Calculate the remainder when 32 is divided by d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -12773 - -12773.34. Let a = -2.5 + 2. What is the closest to l in a, 5, -5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.16 in 1, 4, 14?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10923\/231 - (5 - -1) - -5*(-44)\/770.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -882884, -882771, -882642, -882491, -882312, -882099?\nAnswer: -881846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let g(w) = 3*w + 2*w - 6*w + 0*w. Let p(k) = 16*k + 1. Let a(i) be the third derivative of 2*i**4\/3 - 7*i**2. Let s(c) = -3*a(c) + 2*p(c). Calculate g(s(r)).\nAnswer: 16*r - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 1\/4, -3, 3\/7?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*y + 8*y - 320. Let s(v) = -y*v + 14*v + 20*v. Let x(i) = -i + 0 + 0. Give x(s(u)).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 6583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 x and 1 p when three letters picked without replacement from {x: 1, p: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 1929109 and 833?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.3, 0.144, -1 in descending order.\nAnswer: 0.144, -0.3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 - -10989661?\nAnswer: 10989664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let c(d) be the third derivative of -761*d**7\/70 - 2713*d**3\/2 + 7*d**2 + 212*d. Differentiate c(j) with respect to j.\nAnswer: -9132*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor i**2\/8 - 9853*i\/8 + 2463\/2.\nAnswer: (i - 9852)*(i - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 322 = u. Suppose -h + 2*h = 4*t - u, 199 = 5*t - 2*h. What is the remainder when t is divided by 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -5*x + 3*g - 4 - 1 = 0, 3*g - 2 = 2*x for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(i) = 352*i**2 - 6*i - 10. Let h be l(-2). What is the tens digit of ((-12)\/20)\/((-6)\/h)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4 = x - 3*x. Let q(j) = x*j - 5*j + 5*j - 5*j. Let a(s) = 2*s**2 - 3*s**2 + 9*s - 9*s. What is q(a(m))?\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 515510 or 515509?\nAnswer: 515510","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*a = -4*z - 8 + 9, 5*a + 3*z - 7 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 458, 542, 644, 770, 926, 1118, 1352?\nAnswer: 1634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2665 = 3*l + 2*g, -l - 3*g - 569 = 324. Let m = -586 - l. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(d) = -d**3 - 24*d**2 + 342*d + 7491. Determine b(-16).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 73 = 4*m + 1. Let g = 20 - m. Let r = 224 + -222. Solve -r*f = -g - 2 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of -0.3 and 54.\nAnswer: -16.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = i**2 - 598*i - 80354. What is t(-114)?\nAnswer: 814","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 32419497.01 rounded to the nearest one thousand?\nAnswer: 32419000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 24 and 68?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 191 minutes before 12:31 PM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/(-7))\/((-70)\/(-35))?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from qqqqqqqqq. Give prob of picking 2 q.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 7214 is divided by 65.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let g be (2\/6)\/((-1)\/3). Suppose 7*m + 1374 = 3*m + 1382. Sort m, -4, g in ascending order.\nAnswer: -4, g, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y(z) be the first derivative of -z**4\/4 + z**3 - 5*z**2\/2 + 7*z + 159. Let r(l) = l**2 - 2*l + 3. Give 5*r(p) - 2*y(p).\nAnswer: 2*p**3 - p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from iibbaq. Give prob of sequence bqi.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let o = -13 + 7. Let m(h) = -h - 4. Let j be m(o). Let k(p) = -2*p - 5*p + 4*p + 4*p + j. Calculate k(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (4\/8)\/((-3)\/(-30)). Solve 5*k + 25 = 0, -k = -s*n + 2*n + 5 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(o) = 295*o**3 + 12*o + 15. Let j(q) = q**3 + 2*q. Let g(c) = 6*j(c) - l(c). Differentiate g(s) wrt s.\nAnswer: -867*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -71 + 75. Let w(r) = -32*r - x - 36*r + 69*r. Calculate w(3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((x**(-1\/2)\/x)\/x)\/x)**(-12\/7)\/(x\/(x**(-2)\/x))**(-23\/2))**(-21\/2) assuming x is positive.\nAnswer: x**(-546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s(t) = t**2 - 16*t - 13. Let i be s(16). Let l(p) = -p**2 - 19*p - 12. Does 22 divide l(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -22, -19, 3, -5, 67 in descending order.\nAnswer: 67, 3, -5, -19, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(245)\/(2*sqrt(7)))\/(sqrt(5) + -4*sqrt(245)))**2.\nAnswer: 7\/2916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) be the first derivative of -28\/3*b**3 + 0*b**4 + 0*b**6 + 0*b**2 + 0*b**5 + 26 + 0*b + 23\/7*b**7. What is the third derivative of i(p) wrt p?\nAnswer: 2760*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*n + 2*j + 31 = 7*n, -6*n - 119 = -3*n + 16*j for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 19598 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 20744 is divided by 253?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 3031*c = 3039*c + 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is three fifths of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 7074.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: 76.6 - -78.8665146\nAnswer: 155.4665146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let a = 4965 + -4901. Let k(j) = 2*j**2 - 5*j - 1. Calculate the remainder when a is divided by k(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -417 in 0.3, 1\/5, 1\/2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 6397636 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 2*((-4)\/18)\/((-1140)\/513)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(p) = -p**2 - 20*p - 48. Let q be z(-15). Let j = q - 26. Calculate the greatest common factor of j and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(g) = -11*g**2 - 7*g - 43. Let j(y) = -18*y**2 - 11*y - 64. Determine -5*j(q) + 8*v(q).\nAnswer: 2*q**2 - q - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is 100001111 - 10?\nAnswer: 100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 16283689 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let a(p) = p**3 - 5*p**2 - 18*p - 1. Is a(13) 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 1425?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*c + 25 = 5*m, 4 = -2*m + 5*c + 17. Suppose 3*a + 0*s + s = 17, m*a = -5*s + 41. Suppose 5*r + h = 6*h + 615, a*r - h = 504. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Put -6.62, 4, -5\/2, -6, -2, 5, 0 in decreasing order.\nAnswer: 5, 4, 0, -2, -5\/2, -6, -6.62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (62\/(9672\/(-2535)))\/((-10)\/(-4)).\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let s(q) = -q - 26. Calculate s(-10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Do -1\/4 and 65.7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let t be (7*-2)\/2 - (-4)\/(-4). What are the prime factors of ((-6)\/t)\/((-2)\/(-240))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 5404 and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)\/sqrt(20) + -2*sqrt(864))\/(sqrt(2)*-3*1 + sqrt(2) + sqrt(18)\/(sqrt(63)\/sqrt(7))).\nAnswer: 23*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 170642130 is divided by 95?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let o(j) be the third derivative of j**4\/4 - j**3 - 10*j**2. Let y(w) = 5*w - 5. Let g(r) = 4*o(r) - 5*y(r). Calculate g(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(q) = -2 + 318*q - 2 + 5 - 320*q. Let y(o) = 35*o - 27. Let u(h) = -i(h) - y(h). Differentiate u(b) with respect to b.\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 48371\/70 + -691. Let v(y) be the third derivative of -g*y**5 + 0*y + 1\/84*y**4 + 0 - 4*y**2 + 0*y**3. Factor v(c).\nAnswer: -2*c*(3*c - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:31 AM and 3:15 PM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-85)\/34*(-4)\/5. What is the third derivative of -5*c**2 + 24*c**6 + c**k + 11*c**2 wrt c?\nAnswer: 2880*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -n - 3*u - 1, -3*n + u + 37 = 0. Calculate the smallest common multiple of n and 4\/8*418*1.\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 0? (a) 0.51 (b) -1\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 2325 and 505920.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 2461067?\nAnswer: 7, 59, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:22 AM and 10:21 AM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let s(u) be the third derivative of 0*u**3 + 1\/56*u**8 + 4*u**2 + 0*u + 0 + 1\/8*u**4 + 0*u**5 + 0*u**7 + 0*u**6. What is the second derivative of s(z) wrt z?\nAnswer: 120*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of 1039*i**5\/5 - 225*i**2\/2 - 1528. Find the second derivative of k(a) wrt a.\nAnswer: 12468*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18414 divided by -2046?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 4 (b) -0.213 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Determine k, given that k**3\/4 - 7*k**2 + 165*k\/4 + 225\/2 = 0.\nAnswer: -2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 1011 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: Calculate ((-2)\/(-10))\/(8\/((-64)\/(-2))).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (v - v - 14*v)*(3*v - 3*v - 4*v + (-v - v + 4*v)*(-1 - 3 + 5)).\nAnswer: 28*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 4*t + 5*n = 55, -5*n = -2*t + 57. Suppose -11*o + t*o = 10. Solve -7*l = -o*l + 10 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1 in 1, -0.061, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Determine i, given that -2\/11*i**4 + 0 + 0*i + 2\/11*i**2 + 2\/11*i**3 - 2\/11*i**5 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 t, 1 q, 1 y, and 1 x when four letters picked without replacement from yxyzxzztxqtzzzy?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/(-33))\/(78\/(-429)) - (57 + -1)?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 2*b + 3*b - 7*b - 16*b**3.\nAnswer: -16*b**3 - 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -3984782*m + 7097002 with respect to m.\nAnswer: -3984782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:56 AM and 8:32 AM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 33561 and 50787.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate 1*35\/(-7)*2\/(-65).\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -0.041755121 or -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve 61 = 524*b - 539*b - 89 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*n + 6322 = 6267 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) be the third derivative of -z**5\/60 - z**4\/6 + 5*z**3\/6 - 16*z**2. Give n(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 3*v**2 - 1. Let r be l(1). Let i(t) = 2*t**2 - 4*t**2 + 2 + 2*t**2 - t**r + 3*t. Let s be 3 + -4 - -7*(-24)\/(-28). Give i(s).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose a**2\/5 - 302692*a\/5 + 22905611716\/5 = 0. Calculate a.\nAnswer: 151346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u(z) = 4*z + 3. Suppose 0 = 8*i + 8*i - 1136. Suppose -11*n + 5 = i. Calculate u(n).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 306 less than 579.2?\nAnswer: 273.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 t and 2 g when three letters picked without replacement from tgjjg.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-4)*(-16)\/(-6). List the prime factors of (4\/(-10))\/(v\/220).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -2bbbb5a (base 13) in base 9?\nAnswer: -28436477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z(q) = 3417051*q. Let p(l) = -64*l - 3. Calculate p(z(u)).\nAnswer: -218691264*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let j be -2 + (-40)\/(-18) - 0. Let t = 8 - 8.04. Let g = t + -0.06. Which is the closest to g? (a) j (b) -1\/7 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 5*w - 5. Let z(r) = -r - 57. Let i(k) = -6*k - 226. Let q(t) = i(t) - 4*z(t). What is -3*b(j) - 8*q(j)?\nAnswer: j - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 35988901.\nAnswer: 13, 37, 74821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-2*((sqrt(672) + sqrt(672) + (sqrt(672) - 5*sqrt(672)*-1 - sqrt(672) - sqrt(672)))\/(sqrt(24)\/sqrt(2)*-2))\/(4*-1*sqrt(392)*6))**2.\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((j*j**(1\/42)*j)\/j)**(5\/7)\/(j**(6\/17)\/j*j**(-26)) assuming j is positive.\nAnswer: j**(136837\/4998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is 0.053178523 rounded to three decimal places?\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let d(r) = 6*r**2 - 143*r - 14. Let n be d(24). What is the common denominator of (22\/n - 3\/(-6)) + 1 and -1\/80?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = 12030 + -12015. Calculate the remainder when 8189 is divided by k.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 28 + -169\/6. Let s = a - 13\/30. Which is smaller: s or 6\/13?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 11 and 9163.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 48 and 72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*j + 96 = -204. Suppose -g = 3*g - j. Suppose -5*n + g = -0*n. Solve 16 + 9 = n*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 32 + 22 = -5*f + 3*v, -5*v - 34 = 2*f. Let n(l) = l**2 + 10*l - 11. Let o be n(f). Let g be (o\/(-26))\/((-1)\/2). Which is smaller: 4 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: -107 times -1325\nAnswer: 141775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*i = -0*i - 458. Let j = 406 + i. Suppose -j = 3*t - 4*t. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 263 (base 7) to base 12.\nAnswer: bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 4425\/4 or 1106?\nAnswer: 4425\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -2\/9 in 569, -3, 3, 0.15?\nAnswer: 0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3843 = 5*x - 26*x. Is 10 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 103 - 82 = -3*o. Let i(b) be the second derivative of -b**3\/6 + 4*b**2 + b. Let z(t) = -t + 9. What is o*i(w) + 6*z(w)?\nAnswer: w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let l = -256 - -259. What is the second derivative of -10*c**2 + 18*c**3 + 3 + 18*c**l - 40*c**2 - 37*c**3 + 17*c**2 - 27*c wrt c?\nAnswer: -6*c - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Add 0.263501995 and 3677204.\nAnswer: 3677204.263501995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*w - 20*w + 1908. Calculate the highest common divisor of 212 and w.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 21 + 67036*x + 3*x**2 - 2*x**2 - 67036*x + 34 to the form w + a*x**2 + v*x and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let o be (-6)\/27 - 22\/(-18). Let q = -2153.1 + 2217.1. Is o less than or equal to q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -10010111000100011 (base 2) to base 8.\nAnswer: -227043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 26 in -0.5, -21, -3, 0.3, -6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -221202210200202012 - -1?\nAnswer: -221202210200202011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let o = 183100 + -128100. What is o rounded to the nearest 1000000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 3\/(-4)*2*(-1004)\/(-3765)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -33.22 - -35.22. Which is the fourth smallest value? (a) 20 (b) w (c) 4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: Let n(y) = y**2. Suppose 44*o = 50*o - 24. Let v(r) be the third derivative of 0 + 0*r + 1\/24*r**o + 0*r**3 + 3*r**2. Calculate n(v(f)).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: -8 or -177\/25?\nAnswer: -177\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*p + 5*p - 7*p + 3*p**3 wrt p.\nAnswer: 18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*d - 5 = -4*c, 3*c + 0*c + 3*d - 6 = 0. Suppose 2*o = -9*z + 4*z + 45, 15 = -o + c*z. Solve -2*m - i + 2 = 1, -5*m + o = 4*i for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 13.81 rounded to one dp?\nAnswer: 13.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let b(g) be the third derivative of -7*g**6\/20 - 589*g**5\/30 + 48*g**4 - 116*g**3\/3 - 39*g**2 + 14. Determine k, given that b(k) = 0.\nAnswer: -29, 2\/7, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -72*n - 10136 = -76*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -13 + 8 + (0 - 0).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m = -2*m + 6. Let s(p) = 3*p - 4*p - 65*p**3 - 1 - 20*p**m. Is s(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 412 divide 2742186089?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 5, i: 3}. What is prob of sequence iiii?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 935 to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5256 - -52487\/10. Let u = -3304 - -13303\/4. Find the common denominator of u and h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 80521 times 0.2?\nAnswer: 16104.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: (-56*(-9)\/216)\/((-1)\/(-3))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-234 - -233) + (-252)\/(-105).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(3 + sqrt(475)) + -4*sqrt(1900) + 2.\nAnswer: -30*sqrt(19) + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is 29071013261 plus 0.04?\nAnswer: 29071013261.04","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*b + z + 122 - 128, -17*b + 18*b + z = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 49, 45, 39, 31?\n\"Answer: -d**2 - d + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n and 1 u when two letters picked without replacement from nnnunnnn?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is -0.4 times 0.357?\nAnswer: -0.1428","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let t(y) = -8*y - 294. What is t(-33)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.002094 to 4 dps.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*d + 23 - 23 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let r(z) be the first derivative of z**3\/3 + 29*z**2\/2 - 6*z + 29. Let s be r(8). What is the greatest common factor of 116 and s?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -377 - -401. Let d be (6*5\/45)\/(4\/t). Solve d*q + 32 = 2*s + 10, -4*q = -4*s + 24 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*b + 40 = -0*b. Let f(t) = b*t + 0 - 4 + t**3 - 1 - 8*t**2. Is f(7) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -729 - -850. What is the smallest common multiple of 66 and b?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is one sixteenth of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let r = 121 - 52. Suppose 2*o = -o + r. Suppose -5 + 33 = 14*l - 0. Sort l, o, 0, -1 in ascending order.\nAnswer: -1, 0, l, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.23 - -3.43. Let d = i - 1.3. Let v = 0.25 + 0.25. Put d, 3\/2, v in decreasing order.\nAnswer: d, 3\/2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose i + 177 - 180 = 0, 2*h - 2*i = 18. Let x(v) = 3 + 1 - 3*v**2 + 4*v**3 - 5*v - 2*v**3. What is the least common multiple of h and x(3)?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1024911571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 3073 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is -853483.4 less than 35166?\nAnswer: 888649.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is (-2 - 8\/(-4 + 2)) + 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 4434429?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Simplify (b**(-1\/2)*b**(2\/7)*b*b**(1\/10)\/b**(-1))\/((b*b*b\/(b*b**(4\/7))*b*b*b*(b**3\/b)\/b)\/(b**(-2\/7)\/(b\/((((b*b*b**(-2)*b)\/b)\/b*b)\/b)))) assuming b is positive.\nAnswer: b**(-204\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = 3*y - 2. Let a = -557 + 563. Let r be v(a). Calculate the greatest common factor of 216 and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -7 - -10. Suppose 117*z - 123*z + 18 = 0. Solve -2*l - p*c - 6 = -25, z*l + 9 = 3*c for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(i) = 2*i**3 + i**2 + 16*i - 3. Let u(y) = 6559 + 3*y**2 - 3282 + 0*y - y**3 - 11*y - 3275 - 4*y**2. Determine -5*r(w) - 7*u(w).\nAnswer: -3*w**3 + 2*w**2 - 3*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 16 (b) 0.3 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose h - 6 = 41. Suppose h = 11*a - 19. Let j(r) = 11*r + 11. Let u(v) = 5*v + 5. Calculate a*j(o) - 13*u(o).\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 470?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 105\/16 (b) 15 (c) -521\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 35 = g + g, 4*g = 2*b - 30. Let l be (((-15)\/g)\/3)\/((-1)\/(-2)). Let s be (23 - -4 - -1)\/l. What is the greatest common divisor of 112 and s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 4744445\/266 - 17836. Calculate the common denominator of -79\/798 and g.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = 4*j**2 + j - 2. Let x be t(2). Suppose -w = x - 7. Let m = -14 - w. Let p(q) = q**3 + 4*q**2 - 4*q. What is p(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*i + 895 = 3*r - 955, -4*i + 1480 = -r. Is i a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p be (-1)\/(-3) + 0\/(-1). Let k be (-2)\/(-6) - 34\/(-6). Suppose -3*o + k = 3. What is the closest to 0.1 in o, 3, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose c + 48 - 17 = 0. Let b be -1 + -1 - (c - 1). Let a = -61528 - -61531. Solve a*u - b = -5*k - u, 21 = -2*k + 5*u for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 2545598 is divided by 56?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 634234 and 8469.\nAnswer: 5708106","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Factor -2*o**4\/9 - 194*o**3\/9 - 1600*o**2\/3 - 512*o.\nAnswer: -2*o*(o + 1)*(o + 48)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -0.08? (a) -0.2 (b) 0.4 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is -112298 at least as big as -112301?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 454, 432, 398, 346, 270, 164?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.35, 3346, 1\/2 in ascending order.\nAnswer: 0.35, 1\/2, 3346","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let z be 4\/6 - 140\/(-6). Suppose 0 = 8*h - 13 - 35. What is the greatest common divisor of h and z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 106572 a multiple of 249?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -902078215*h**2 + 334906549*h wrt h.\nAnswer: -1804156430","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(1344) - (sqrt(1344) + 5*(sqrt(1344) + sqrt(1344)*-1 + sqrt(1344))))*-1)\/(sqrt(3)*-1*-2 - sqrt(240)\/sqrt(5)).\nAnswer: -20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 22508 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let b(w) = 5*w**2 - w. What is the tens digit of b(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = 279 + -156. Suppose -v + n = -2*n - l, -2*v + 258 = -2*n. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 612 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:24 AM and 3:41 PM?\nAnswer: 557","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -160.4*-0.3\nAnswer: 48.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Round 56921140 to the nearest 1000000.\nAnswer: 57000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*m + 4585950 = -v - 3*m, 5*v + 22929710 = 5*m. Let y = v + 8925944. Round y to the nearest 100000.\nAnswer: 4300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: 14201646 (base 8) to base 7\nAnswer: 36206003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 19 = -9*s + 73. Suppose s*n - 1 = 5*n, 2*p + 5*n - 1243 = 0. List the prime factors of p.\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 58*l - 27*l + 24*l + (0 + 3 - 2)*(3 - 3 - 2*l) - 9*l + l + 0*l - 4 - 2*l + 4.\nAnswer: 43*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let k = -30008 + 719951\/24. Let s = -57551\/5736 - k. Which is greater: 1\/4 or s?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + -6*(5 + (sqrt(153) - (sqrt(153) + sqrt(153)*2*3)) + -3*(sqrt(153) + (sqrt(153) - (sqrt(153) + 0))))**2 + -4.\nAnswer: -74508 + 1620*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.2 - 727359242?\nAnswer: -727359242.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 744551086?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let x(w) = w**3 + 4*w**2 + 4*w + 32. Let k be x(-4). Let o be 5 + (k\/(-2) - -4). Suppose i - 19 = -0*i + 3*c, i = 5*c + 25. Which is greater: o or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.125263 * 4\nAnswer: 0.501052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify 0 + sqrt(9)\/sqrt(3) - ((sqrt(147)*-1)**2 + sqrt(3)).\nAnswer: -147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Factor 110*q**2\/7 - 49776*q\/7 - 175712.\nAnswer: 2*(q - 476)*(55*q + 1292)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2)\/(-5) + (7840\/650)\/(-14). Suppose c + 17 = 5*a, -3*a + 5*c = -0*a - 19. Suppose 0*o - a*o - 3 = 0. Is o bigger than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(g) = 4*g + 10. Let i(k) = -3*k - 9. Determine -7*i(a) - 6*w(a).\nAnswer: -3*a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let n = -2.6 + -0.4. Let y = 4 + n. Let r = -11 + 11.1. Which is the nearest to r? (a) 2\/7 (b) -1\/3 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 152155, 152274, 152393, 152512?\nAnswer: 152631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Is 6745239671 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -36*h + 15230 = 14546 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find l such that 36*l**4 + 5421*l**3 - 24567*l**2 + 12135*l + 6975 = 0.\nAnswer: -155, -1\/3, 1, 15\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 8.001045 minutes in hours?\nAnswer: 0.13335075","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: 10\/(-18) - (128\/(-24))\/8\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*i = 4*g - 5*g - 26209, 0 = -3*i + 3. Round g to the nearest 10000.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -36842278 by -3349298.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve l - z - 4 = 4, -4*l - 3*z + 11 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 7, 2\/11, 5, -2\/7, 2\/7.\nAnswer: -2\/7, 2\/11, 2\/7, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let a(k) = -k**2 + 18*k + 22. Let u be a(19). Let i be (-5)\/(4 + (-15)\/3). Solve -i*d = -3 + 13, u*h + 4*d = -17 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be 4\/(-2) + 6\/2. Suppose v = -2*x + 9. Let o be ((-16)\/(-24))\/(x\/414). Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p(u) = -250*u + 4851. Is p(-7) a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.04 - 11.04. Let a(z) = 21*z - 250. Let f be a(12). What is the closest to f in -0.2, -3, s?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 125 - -226?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Product of 666 and -0.2.\nAnswer: -133.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth biggest value in -17\/3, -1\/12, 0.12, 2?\nAnswer: -17\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the fourth root of 952092227 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 230 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let j(t) = -7*t**2 - 20*t - 8. Let z be j(-4). Let w = z + -23. Let g be (-28)\/w*6\/(-4). What is the biggest value in 2\/153, g, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(j) = j + 86. What is the units digit of k(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 280940 and 240.\nAnswer: 3371280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 172*d - 154*d = 0. Solve d = 11*q + 8*q - 7*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -1.65037 to 2 dps.\nAnswer: -1.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 6 and 282?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -254 - -77 - -189 - (-96 + -2 - -1 - -3)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8106.971 + 8116. Let b = 9 - w. What is b rounded to one dp?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Divide -402 by 7683.\nAnswer: -134\/2561","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 267a4 (base 16) to base 10.\nAnswer: 157604","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2\/3 (c) -1 (d) -243 (e) -9.6 (f) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.2, -3, -108744?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let y(n) = 5*n**3 - 3*n**2 - n - 3. Let v(j) = 7*j**3 - 3*j**2 + j - 3. Give -2*v(d) + 3*y(d).\nAnswer: d**3 - 3*d**2 - 5*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((o*o*o\/(o**(11\/2)*o))\/(o*o**6*o))\/((o\/o**(-1\/5))\/o**3) assuming o is positive.\nAnswer: o**(-97\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 5 - 3 + 14*m**2 - 2.\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 0.225 and 7.05?\nAnswer: 6.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 11396146417 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*c + 0*c - 106 = 0. Let b = 122 - c. Is b a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3854 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Suppose d - 2*p - 18 = -0*d, 2*p = -d - 2. Let t(n) = -7*n**2 + 13*n - 2. Let o(w) = -15*w**2 + 27*w - 4. Let b(j) = 6*o(j) - 13*t(j). Is b(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-14)\/1)\/(1\/(-3)). Suppose s + o = -s. Let r be s\/18*2*-3. Solve 3*y - r = 5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 43008 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let w be 228\/54 - 2\/9. Solve p + 1 + w = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose k + 18 = 4*j, 2*j = -0*j + k + 10. Solve -11 = -j*z + 5 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 11154.0005093 + -11154. Round z to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:34 AM and 6:44 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Work out -6138 - 0.1.\nAnswer: -6138.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let t = -5\/22 - 23\/44. Let g = -0.3 - -0.3. Which is smaller: g or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 74\/175 and -46\/49.\nAnswer: 1225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(u) = u + 1 - 4*u + 4*u**3 + u**2 - u**3. What is the tens digit of n(2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 58303112 to the power of 1\/3, to the nearest integer?\nAnswer: 388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 89 + 38 + -58 + -25.\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -0.000101811563 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = -2*d**2 - 5*d - 7. Let q(t) = -t + 1. Calculate 6*q(f) - u(f).\nAnswer: 2*f**2 - f + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort 70, -2, 25, 4, 21, 0 in descending order.\nAnswer: 70, 25, 21, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -15 = -2*n + 69. List the prime factors of n.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(s) = s**2 + 1. Let v(w) = -w**2 - 8*w + 4. Let j be v(-7). Suppose 5*r = 4*f + 7, 0*r + j = r - 4*f. Determine t(r).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 22328199?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 440 and 35200.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -116 or -941?\nAnswer: -116","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) = -k. Let m(z) = -435*z - 28660. Determine u(m(q)).\nAnswer: 435*q + 28660","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is 10 + 11430?\nAnswer: 11440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 156300 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 4, w: 6}. What is prob of picking 4 w?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let j(r) be the first derivative of -2 - 1 + 2*r**2 + 0. Let c(m) = m**2. Determine j(c(y)).\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 902896095.\nAnswer: 3, 5, 17, 263, 13463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 30 and 195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 943, 1783, 2609, 3415, 4195, 4943, 5653?\n\"Answer: -y**3 - y**2 + 850*y + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Round -0.0000113293625 to 7 dps.\nAnswer: -0.0000113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30*o - 31*o = -2*w - 3297, 2*o - 6597 = w. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-495)\/(-90)*27\/(-198))\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let u(d) = d**2 - 25*d - 26. Let f be u(23). Let k = f - -75. Suppose 4*s + 3059804 = 5*n + 364820, 1617012 = k*n + 3*s. What is n rounded to the nearest 10000?\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many milligrams are there in 136.2321 grams?\nAnswer: 136232.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(o) = 58*o + 317. What is the remainder when 1805 is divided by f(-2)?\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*q + 260*q**3 + 0*q - 254*q**3.\nAnswer: 6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h. Let r(g) = 1 - 175*g - 2 + 168*g. What is 5*d(t) - r(t)?\nAnswer: 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -240*p - 2291 + 1091 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 5461 divided by 43\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 191*k**3*t**3 - 3*k**3 + 49*k**2*t - 60*t**3 wrt k.\nAnswer: 1146*t**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x - 3 = 4*x. Let i(b) = 0*b**2 + 3 + 1055563*b + b**3 - 2111120*b + 1055558*b + 2*b**2. Calculate i(x).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -709*r**3 - 3*r**2 - 6 wrt r.\nAnswer: -4254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i = -0.8042 - -0.4042. Which is the nearest to 0.2? (a) 0.2 (b) i (c) 133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(s) = -6*s + 25. Let t be (-1)\/7 - (-6)\/126*3. Let j be a(t). Is j smaller than 25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 29085069443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 10110\/674 + 283\/(-19)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 1759777 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 107693 in 2, 8, -2, -2\/3, -1\/6, -0.4?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -123464 + 3623?\nAnswer: -116541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is 132538556 to the power of 1\/2, to the nearest integer?\nAnswer: 11513","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -4*b**3 - 2*b**2 - 63*b - 6. Let c(q) = -3*q**3 - 2*q**2 - 62*q - 5. Determine 6*c(h) - 5*n(h).\nAnswer: 2*h**3 - 2*h**2 - 57*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Work out 3920764.7 * 1.\nAnswer: 3920764.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 PM and 12:13 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 192619185 is divided by 5074.\nAnswer: 5071","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify a**(3\/14)\/(a*(a**(-17)\/a)\/a) assuming a is positive.\nAnswer: a**(255\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 65*o**2*s**2*x**2 + o**2*x**2 - 2*o**2 + 8*o*s**2 + 2*o*s - 4*s**2*x**2 + 2*s*x**2 wrt o.\nAnswer: 130*s**2*x**2 + 2*x**2 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*r + 4*r - 3*l + 14 = 0, 5*l = 5*r + 20. Let t = r + 4. Let b(y) = y**2 + 3*y + 6. Let k be b(-4). Calculate the greatest common divisor of t and k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = 3 + t + t**2 + 1 + 4*t - 2. Let m be k(-4). Is (2\/3)\/(m\/(-279)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 4 + -4. Suppose q + q - 239 = -5*t, u = -t + q + 52. What is the units digit of t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -945214 != -945204?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(1*sqrt(95) + sqrt(95)))\/sqrt(5) + -2.\nAnswer: -2*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -429 (b) -244 (c) 0.1 (d) 5\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Put -5, 85, -31, 1, -1, -7 in ascending order.\nAnswer: -31, -7, -5, -1, 1, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 10\/4*1248\/5720.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 48 and 1049772.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let t = -13 + 23. Let n be 2*(0 - -7 - -3). What is the greatest common factor of n and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 1970162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 0.1, 2\/61, -3\/4, 0, -1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 2604*s**4 + 13594 wrt s?\nAnswer: 10416*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from efeeef. What is prob of sequence ef?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let t(b) = -2*b - 4. Let w(j) = 1. Let i(z) = t(z) + 4*w(z). Let n(h) = 24*h**2 + 2. Calculate n(i(q)).\nAnswer: 96*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: -0.069839 + 8\nAnswer: 7.930161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let q(x) = -22*x + 88. What is q(5)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find a such that -4*a**2 + 3436*a + 24248 = 0.\nAnswer: -7, 866","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many micrograms are there in 432029.2 milligrams?\nAnswer: 432029200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 69593644 is divided by 101.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -q**2 - q + 5. Let b be c(-4). Let l(f) = -5*f**2 - 23*f + 13. Let h(n) = 3*n**2 + 12*n - 7. Let j(w) = b*h(w) - 4*l(w). Give j(6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out -423983 + 12604.\nAnswer: -411379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Is 53806649479 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 8268.75189ms in weeks?\nAnswer: 0.000013671878125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*f + 74*f**2 - 99 + 10 + 92 to the form t*f**2 + a + p*f and give t.\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x = -3 + 3. Suppose k + x*k = -4. Let l = k + 7. Solve l*q - s = -q - 12, -12 = 4*q - 2*s for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(m) = m - 11. Let y be c(14). Suppose -2*l + 460 = y*l. What are the prime factors of l?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = 17 + -33\/2. Put b, -3, 1 in descending order.\nAnswer: 1, b, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 30403558 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Are -48131517 and -48131518 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 0*j = -5*m + 17, 4*m = -j + 7. Suppose j*o = 13*o - 60. Calculate the lowest common multiple of o and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = -t**3 - 2*t. Let z be b(2). Suppose s + 0 = -17. Let m = z - s. Solve -4*x - 4 = -2*f, 5 = -m*f + 2*x + 3*x for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = -0.45 - -0.09. Let l = w - -0.06. Let j = 421.1 - 424.1. Which is the smallest value? (a) l (b) j (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 37041966?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 67 divide 567?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 7:09 PM and 11:07 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let i(v) = 5*v**2 + v + 1. Let c be i(-1). Suppose -c = 2*b - 1. Let g(w) = -15*w + 1. Let t be g(b). Solve 4*q - t = 5*s, 8 - 19 = q + 5*s for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1317 divided by -1.\nAnswer: 1317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 53322742?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(j) = 18*j + 219. Calculate s(-13).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kskksokjoso. Give prob of picking 2 k.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let d(h) = -h**3 - 171*h**2 + 5785*h - 3004. What is d(-200)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate 912\/380 - (671\/90 + (-16)\/(-36)).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 198 and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: 5 + -14 - (80 - 67)\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort 0.4, -3, -32860, 1, 2\/19 in decreasing order.\nAnswer: 1, 0.4, 2\/19, -3, -32860","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -o - 6 + 10 + 17 + 3*o. Suppose -5*x = -19 - 16. Calculate the smallest common multiple of b(-10) and x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 8685277187?\nAnswer: 24977, 347731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {x: 2, k: 3}. Give prob of picking 2 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = -3*o**2 + 14. Let g be v(2). Solve -2*t - 4 = -g*x + x, 5*x - 3*t = -1 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 142075, 284157, 426241, 568327, 710415, 852505?\nAnswer: 994597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Work out -0.62852 + -6.07.\nAnswer: -6.69852","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Suppose 62 = 5*n + 4*w, 4*n - 74 = -n + 2*w. Suppose 3*t + n = 2*b, 0*b + 3*b - 38 = -4*t. Let m = -35 + 82. Calculate the remainder when m is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 10, -35, -116, -239, -410, -635, -920?\nAnswer: -1271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 4344342 is divided by 2244.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let a(u) = u**3 - 5*u - 2. Let c be a(0). Let n = -1 - -5. Let z = n + c. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -22*x + 7*x = 8*x - 132848. Which is bigger: 1 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(1088) + 1 + sqrt(1088))*-1 - sqrt(1088)*1*-2 - (sqrt(1088) + 0 + -5 - ((sqrt(1088) - 1*sqrt(1088)) + 4)))*-4*-4)**2.\nAnswer: -32768*sqrt(17) + 294912","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) 3 (b) -3 (c) -0.062 (d) -4 (e) -2 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(78) - sqrt(78)*-1)\/sqrt(6) - (-1*sqrt(39))\/sqrt(3) - (-3 + sqrt(13) + 1 + 2))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (180\/2)\/((-231042)\/(-5501)).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Put 1, 81, -126 in descending order.\nAnswer: 81, 1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate (5 - (0 - -1)) + -3 - 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 317599.7 millilitres to litres.\nAnswer: 317.5997","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let o = -4 + 6. Let j = -741 - -684. Let i = -58 - j. Which is the closest to i? (a) o (b) -24 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2 + 8 - 1 - (-21 - -25).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: -0.403*-4\nAnswer: 1.612","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: -4 times 4\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-3)\/(-2) - (-6)\/(-4). Suppose -2*g + 8 + 0 = v. Suppose 0 = 4*q - 16, -8 = n - g*q + 10. Put -5, 0, n in increasing order.\nAnswer: -5, n, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 41 + -9. Which is the smallest value? (a) -3 (b) -0.2 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate -10*(-77)\/686*-49.\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = 152*c - 784. What is the remainder when x(19) is divided by 81?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 271785*c + 4002 = 271727*c for c.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let l = -1 - 2. Let p = 8 - l. List the prime factors of p.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Product of 5 and -1026.\nAnswer: -5130","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose 31*i = 148 + 38. Let d be (1 - 2)\/(-1) - -2. Factor c + 2*c - 2*c**4 - d*c**5 - 4*c**4 + i*c**2.\nAnswer: -3*c*(c - 1)*(c + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 9 + -5. Suppose 2*u + 1 = 4*t + t, 5*t = u - 2. Let v = u + h. Solve -o - 5*f + v - 5 = 0, -4*o = 4*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 13984 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((648\/(-96))\/(-9))\/((-3)\/20). Let c(g) = -7*g**3 - 15*g**2 + 9*g + 5. Let z(u) = 4*u**3 + 7*u**2 - 5*u - 3. Calculate m*z(p) - 3*c(p).\nAnswer: p**3 + 10*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 241209\/62 less than or equal to 3889?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/10*11\/(55\/(-20))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = -861 + 866. Let k(l) be the second derivative of 7*l + 1\/12*l**4 + 0 - 7\/40*l**g + 0*l**2 + 1\/12*l**6 + 0*l**3. Factor k(p).\nAnswer: p**2*(p - 1)*(5*p - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: 36068.69 * -23.9\nAnswer: -862041.691","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3829?\nAnswer: 7, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 72 = 4*h - p + 37, -3*h = p - 21. Solve h*x + 22*x = -90 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v = -5.854 - -0.054. Let f = 5.8 + v. Which is the second biggest value? (a) f (b) 0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v(f) = 2*f**3 - 6*f**2 + 8*f - 15. What is the units digit of v(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -s**4 - 369894*s**3 - 14424852*s**2 - 187518682*s - 812571435 = 0.\nAnswer: -369855, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let k(i) be the first derivative of 3\/2*i**2 - 1\/4*i**4 + 5*i + 6 - i**3. What is k(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 0*u**3 + u**3 + 2*u + 3*u**3 + 2*u.\nAnswer: 4*u**3 + 4*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let s = 1353.4 + -1353. Suppose -2 - 2 = 4*k. What is the biggest value in s, k, 1.1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -417*n = -203*n - 11137 - 19465 for n.\nAnswer: 143","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) 3\/7 (b) -1\/2 (c) -0.069\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: -2062420 (base 7) to base 6\nAnswer: -5212104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the nth term of 874, 1219, 1574, 1945, 2338?\n\"Answer: n**3 - n**2 + 341*n + 533","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 3524699 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let u = 23680\/3 - 8021. Let v = -127 - u. Which is the second biggest value? (a) v (b) 4 (c) -4 (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.677 + -0.6769987559. Round f to 7 decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -420\/19 > -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*t - 11631 = -2*s, -s - 2329 = -3063*t + 3062*t. Does 5 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(z) = -2*z**3 + 5*z**2 + 34*z + 58. What is f(0)?\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1739 + 683 - 2318 - 127 - 25*n + 203.\nAnswer: -25*n - 3298","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 241580322 to the nearest integer?\nAnswer: 623","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Factor -r**4 - 217*r**3 - 11430*r**2 + 38500*r + 121000.\nAnswer: -(r - 5)*(r + 2)*(r + 110)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.6, 1, 153?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -2207*d - 5*m - 44 = -2208*d, 26*d + m = 96 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -513 = -32*v + 543. What is the third derivative of 2*k**3 - 70*k**2 + 64*k**2 + 0*k**3 + 235*k**4 + v*k**2 wrt k?\nAnswer: 5640*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 12114466 and 10711246.\nAnswer: 2774212714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in fourty-one fifths of a tonne?\nAnswer: 8200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} {"text":"Question: Let i = 24 - 20. Solve -i*g - 2 = -22 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 812041.9kg in tonnes?\nAnswer: 812.0419","meta":{"dup_signals":{},"source":"measurement__conversion_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: Round -545504857 to the nearest one million.\nAnswer: -546000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -299 = -38*m + 254 + 207 for m.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 394*g*p**5 + 8400*g*p**3 + 3*g*p**2 + 29*g*p - 155275*p wrt p.\nAnswer: 7880*g*p**3 + 50400*g*p + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 19733 is divided by 990.\nAnswer: 923","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -0.4, -6\/11, -0.3, -5, 476, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Convert 4.008171 tonnes to nanograms.\nAnswer: 4008171000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate 34 divided by -734372.\nAnswer: -17\/367186","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let b(r) = 93*r - 28*r + r**3 - 29*r - 30*r + 4*r**2 + 3. Let g be b(-2). Put g, 5, 1 in descending order.\nAnswer: 5, 1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between 3642423 and -6.49?\nAnswer: 3642429.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -704*q**3 + 5*q - 610*q**3 + 20*q**3 - 2*q.\nAnswer: -1294*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d(o) = -o**3 - 176*o**2 + 1067*o - 4558. What is d(-182)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate (7\/(-6))\/((-28)\/(-4)*(-28)\/((-1036)\/(-37))).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (((-108)\/16)\/9)\/(9\/(-6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 4*m - 5. Let w be p(2). Suppose -w*y - 195 = -984. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (5 - 14) + -177 + 167.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 630 minutes after 12:16 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Does 4 = 139\/33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) = 6 + 3*n - n + n**3 - 5*n**3 - 8*n. Let u(w) = -4*w**3 - 5*w + 5. What is -5*b(c) + 6*u(c)?\nAnswer: -4*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1058257*q**2 + 10 - 4 - 6 - 1058253*q**2.\nAnswer: 4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let k(m) = m**2 - 6. Let g be k(-3). Suppose -1655 = 3*a - 2*u - 3*u, 1097 = -2*a - g*u. What is a rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (6 - (3 + 1)) + -8 + 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a(f) = -10*f - 38. List the prime factors of a(-12).\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*w - 2*f + 141, -4*w - 33 = -3*w - 2*f. Let p be (1\/(-2))\/((w\/12)\/9). Let t be (-1 - p - 7\/(-2))*-8. Round t to 0 dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify l\/l**5*l\/(l*l\/((l*l**12)\/l)) assuming l is positive.\nAnswer: l**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*x = -x + 8. Let t(b) be the third derivative of -b**6\/120 + b**5\/60 + b**3\/3 - b**2. Give t(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {p: 4, u: 3}. What is prob of sequence uuu?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h(c) = -107*c + 10063. Calculate h(93).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Round 0.0001285901 to six decimal places.\nAnswer: 0.000129","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is -1\/4 at least as big as -4780\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Put 0, 3, -1014, -6 in descending order.\nAnswer: 3, 0, -6, -1014","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 0.00000006 rounded to seven decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -8 + (7 - 104\/(-88))\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 5812000417.\nAnswer: 5812000417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -3\/4, 6958\/113, 1\/18?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the mth term of -4260, -17075, -38446, -68373, -106856, -153895?\n\"Answer: -4278*m**2 + 19*m - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to -9? (a) -3 (b) 0.1 (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1\/4, 5, -0.1, 3, -3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 87111.75 nanometers in centimeters?\nAnswer: 0.008711175","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1120 is divided by 559.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Sort 4, -28, -4, 5 in decreasing order.\nAnswer: 5, 4, -4, -28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.13903 and -2.\nAnswer: -0.27806","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let b(v) = 9*v**2 + 4*v + 7. Let w(j) = -10*j**2 + 2*j**2 + 11*j**2 + j + 6 - 4. Give -2*b(f) + 7*w(f).\nAnswer: 3*f**2 - f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -36 + 8 - 1379*n**3 - 2*n**4 + 1381*n**3 - 3*n as s + p*n**4 + t*n**3 + z*n**2 + a*n and give s.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lzu when three letters picked without replacement from {k: 1, l: 2, v: 3, u: 3, z: 5, c: 6}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -45\/18844 and -87\/4.\nAnswer: 18844","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -2*t - 2*t - 6*t - t - 5*t.\nAnswer: -16*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let b = -6 - -6. Suppose b = m + m - 34. List the prime factors of m.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.1 in 0.1, 2\/7, 417?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Total of -0.3754 and -0.5.\nAnswer: -0.8754","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*f*w**2 + 18*f*w - 4512*w**3 - 137*w wrt w.\nAnswer: -4*f - 27072*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1*(sqrt(539) + -3 + -5)*5)**2.\nAnswer: -2800*sqrt(11) + 15075","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the third derivative of c**9\/504 + c**5\/30 - 12*c**2. Find the third derivative of m(t) wrt t.\nAnswer: 120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18b94 (base 15) in base 16?\nAnswer: -1396f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-24822)\/(-115836)*(-14)\/(-564)?\nAnswer: 1\/188","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -1.42 + 34.42. Let j = 27.94 - -0.06. Let i = z - j. What is the fourth smallest value in i, -1, -5, 2\/9?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((z*z*z\/(z\/((z\/(z\/(z\/(z*z*z*z*z**(-11\/4)*z))))\/z*z))*z**(-1\/13))\/(z*z**(-2))**(42\/11))**(-16\/7))**(-26) assuming z is positive.\nAnswer: z**(2936\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 874762444?\nAnswer: 2, 641, 341171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -c**2\/6 + 547*c\/3 - 299209\/6 = 0.\nAnswer: 547","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (q\/q**(-8)*q**(-2\/5)*q)**47*(((q\/q**(4\/3))\/q)\/q*q**(-6))\/(((q*q\/q**9)\/q)\/q**(-6\/7)) assuming q is positive.\nAnswer: q**(47251\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Put -4, 0, 3, 13615 in descending order.\nAnswer: 13615, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(208)*-4*-1)\/(((2*sqrt(64))\/sqrt(2))\/sqrt(8))*-3)**2.\nAnswer: 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let j(y) = -2*y + 6. Let c be j(4). Let i be 2 + 13 - -4 - c. Let s = 21 - i. Solve 3*v + 3*r + s*r = -6, v + 3*r = 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -1 - (24 - 0) - (593 + -597 + 11 + 1)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is 43395684 to the power of 1\/3, to the nearest integer?\nAnswer: 351","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 17711, 17691, 17649, 17579, 17475, 17331?\nAnswer: 17141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let v be (9\/6)\/(2\/(-4)). Let g be v - 1 - -2 - -5. Let l be 1\/4*-2*0. Solve 0 = g*c - l*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -5.2, -148\/7, 5\/3?\nAnswer: -148\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of -3 - -8*(39 - -4)?\nAnswer: 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -3052 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Does 18 divide 253493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 9*q + 2*q - 24*q + 3*q. Calculate t(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y + 3*b + 0 - 10 = 0, -5*y + 2*b + 44 = 0. Suppose y*r = 9*r + 5. Put r, 5, -1, -2 in descending order.\nAnswer: 5, -1, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -103040121 + 104?\nAnswer: -103040012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 458 is divided by 45.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v be ((-3)\/(-2))\/(12\/4). Let b = 44003 - 88005\/2. Factor -v*x**2 - x + 0 + b*x**3.\nAnswer: x*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-2)\/7 - 168\/(-245). Let u = -388\/945 - -2\/189. Let w = -6\/13 + 80\/117. Put u, x, w in decreasing order.\nAnswer: x, w, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -8 + 12. Suppose -2*j = -15 + 13. Solve l**2 - j - 2 + 5 + i*l + 1 = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 2*z + 18. Sort 3, 2\/9, z in descending order.\nAnswer: 3, 2\/9, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(r) = -5*r + 47. Let q be (-5)\/(-2)*14\/5. Suppose 3*c + n + 48 = q*c, -5*c - 3*n = -43. What is the remainder when c is divided by z(8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 93\/4372 and 91\/2.\nAnswer: 4372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -4*i - 3*f - 16, 36*i - 34*i = -5*f - 8 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = 2*q**2 - q**3 - 1 - 10*q**2 + 14*q - 3. Let s be k(-10). Calculate the greatest common divisor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 10\/4*(-14)\/70?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let l(v) = 7275*v + 58120. Calculate l(-8).\nAnswer: -80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 865 is divided by 285.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify p**(1\/5)*p*p**26*p assuming p is positive.\nAnswer: p**(141\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2063*a**2 + 14 + 0 + 16 - 30 to the form x*a**2 + d + v*a and give x.\nAnswer: 2063","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) be the third derivative of 0*p**3 + 40*p**2 + 0*p**4 + 7\/120*p**6 - 1\/60*p**5 + 0*p + 0. What is v(1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify g**(-2)*g*g**(-8) assuming g is positive.\nAnswer: g**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let s be (28\/6 + 2)*3. Let c be 4\/s + 292\/(-10). Let l = 43 + c. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4712645 (base 11) to base 2.\nAnswer: 11111011001101011111111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 12*u**6 - 1737*u**3 - 9*u**2 + 682*u wrt u?\nAnswer: 1440*u**3 - 10422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 3591977 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3 + 2 = -5*g + 4*o, 0 = g + 4*o - 23. Suppose 0*l - 3*l = 5*j - 214, 169 = g*l - 4*j. What are the prime factors of l?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 113 is divided by 88.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 99\/10 and 0 + (47\/20*2)\/3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**34)**28 assuming a is positive.\nAnswer: a**952","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let v be (-31 - 9)\/280*3\/1. What is the closest to v in -5, -1\/7, -9?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*p - 23 = -27 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Find f such that 3*f**3 + 2123943*f**2 - 25487640*f + 76463244 = 0.\nAnswer: -707993, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -10345*d**5 + 3*d**2 + 22981*d?\nAnswer: -206900*d**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from hhhhhhhhshhhhhhjhh. What is prob of picking 1 h and 1 s?\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(z) = 127*z**2 - 266*z + 22. Give x(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Sort 14, -18, 5, -82.\nAnswer: -82, -18, 5, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) 1\/802 (b) 5761 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put 60, -4, 186 in descending order.\nAnswer: 186, 60, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 364760726 and 74.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 241308.\nAnswer: 2, 3, 6703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let j be -1 + 4 + (-1 - 12). Let h = 7 - j. Calculate the remainder when 66 is divided by h.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i be 1*0\/((-3)\/3). Suppose 4*b + i*b = 24. Let t be (-20)\/b - 3\/(-9). Are t and -3 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/7, -5, -0.008, -8, 2\/5 in descending order.\nAnswer: 2\/5, 2\/7, -0.008, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ddd when three letters picked without replacement from ddddd.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 22, 32, 50, 70, 86, 92, 82, 50?\n\"Answer: -p**3 + 10*p**2 - 13*p + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from qqqcqqqqccrccqqqqrq. What is prob of sequence crc?\nAnswer: 20\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2\/9 in -18\/11, 0.1, 3\/4, 0.7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:58 AM and 9:21 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let y = 91 + 187. Calculate the remainder when y is divided by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(x) = 41*x + 6. Is z(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 2723624869?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is 1324.9 take away 0.21?\nAnswer: 1324.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-1 + -12 + 15)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Is 401087 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Divide 3 by 54936935.\nAnswer: 3\/54936935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -39038120, -39038122, -39038124, -39038126, -39038128?\nAnswer: -39038130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand (93 + 56*d - 93)*(2 + 3 - 3).\nAnswer: 112*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 130 minutes before 5:36 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 6 and 19010.\nAnswer: 57030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Express -23*t**3 + 26734 - 26711 - 8*t**3 as u*t**3 + a + m*t + k*t**2 and give u.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*l + 22 = -4*a + 5*a, 2*a + 2*l = 20. What is the remainder when 522\/14 - (-4)\/(-14) is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(f) = 2*f + 19. Let j(t) = 7 + 13 + 4*t - t - 2*t. Let q(z) = 2*g(z) - 3*j(z). Let b be q(25). Solve -3*x = -4*x - b for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r be -248*(-4 + 2 + -27). Let n = r - 2997. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 5581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = -91.62 + 93. Round d to one dp.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 60790 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let m = -0.24 - 0.06. Let t = -5.8 + 16.6. Let d = t + -11. Which is the closest to -2\/7? (a) 1 (b) d (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Express (m + 0*m + 0*m)*(-208 + 6*m - 35*m + 210) in the form k*m**2 + t + r*m and give k.\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -15141, 1, 0.2?\nAnswer: -15141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) be the third derivative of -i**8\/2240 - i**7\/2520 + i**6\/360 - i**5\/120 - i**4\/8 - i**2. Let k(j) be the second derivative of z(j). Calculate k(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -v + 627 = 595. What is the highest common divisor of 24 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract -11101 from -167.\nAnswer: 10934","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Expand ((0 + 1 + 0)*(1 - 1 - 1) - 1 + 0 - 1 + (5 - 1 - 2)*((2 - 7 + 2)*(-3 + 1 + 1) + 3 - 1 + 2 + (0 - 1 + 0)*(-1 + 3 - 1)))*(17*j**5 + 14*j**5 - 10*j**5).\nAnswer: 189*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 396242 is divided by 817?\nAnswer: 814","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let i = -65 + 71. Suppose 3*u - i = 39. Solve 5*k + 10 + u = 0 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: 43760 (base 12) to base 5\nAnswer: 10323313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((-1)\/15)\/((-24)\/(648\/(-9)))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -2 + -1 + 8 + (-24 - -12).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -9*l + 7*l + 8. Let s = 9.6 - 3.3. Let z = s + -1.3. What is the third smallest value in z, -0.1, l?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 1 (b) 0 (c) -0.4 (d) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (96 - 71)*4\/(-5) - 2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 10*d + 5 - 5*d + 2*d**2 - 3*d**4 - 3*d + 2*d**3 - 4*d to l*d**3 + b*d**4 + p*d**2 + w*d + c and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Solve -14 - 3 = 3*c + 2*v, -5*c - 3 = -3*v for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve 1611*t + 210 = 1632*t for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let o = -3.01 - -0.01. Let w = 4.959 + 0.041. What is the second smallest value in w, o, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (21 - (17 - -17)) + 15.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j be 34\/(-187) - (-134)\/11. Let z(k) = k**3 - 13*k**2 + 18*k - 14. What are the prime factors of z(j)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 3629974.\nAnswer: 2, 43, 42209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let b = 15 - -5. Let x = -274 + 274. Solve x = -a - 4*a + b for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 2*r**3 + 6 - 1 + r - 3 + (-7*r - 5*r + 6*r)*(-3*r**2 + r**2 + 0*r**2).\nAnswer: 14*r**3 + r + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 2.856959 days in milliseconds?\nAnswer: 246841257.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {y: 1, j: 3, m: 3, l: 3, e: 3, u: 1}. Give prob of picking 1 j, 1 e, and 2 m.\nAnswer: 27\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 45 - (140 + -106 - 11)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is next in -125947, -252370, -378793?\nAnswer: -505216","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: (-27)\/27*0\/(-3)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -1.23502114 rounded to 1 decimal place?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let o(u) = 43*u + 13. Let h(t) = -7*t - 2. Let d(k) = 6*h(k) + o(k). Calculate d(-13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 426a8 (base 12) in base 4?\nAnswer: 111111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let i = 7158 + -200335\/28. Find the common denominator of i and -155\/204.\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*i**3 - 2*i**3 - 2*i**3)*(-5 + 23 - 7).\nAnswer: 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let o = 2.6 + -4.7. Let u = 0.1 + o. Let n = 0.44 - 0.04. Put n, -0.3, u in decreasing order.\nAnswer: n, -0.3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine u, given that -2*u**3\/3 - 25*u**2\/2 - 23*u - 67\/6 = 0.\nAnswer: -67\/4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -16776861, -16776871, -16776887, -16776909, -16776937?\n\"Answer: -3*j**2 - j - 16776857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t = 2*i - 4, t = -5*i - 0*i + 10. Suppose -i*k + 5*b = -0*k - 97, -158 = -3*k - 5*b. List the prime factors of k.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1488930?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u be (1\/1 - 1) + 2. Let i = 304 + -302. What is the remainder when u\/(-9) + 58\/18 is divided by i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -38*w + 34*w - z + 59 = 0, 0 = z + 5. What is the smallest common multiple of w and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 341136 = -30*k + 343836 for k.\nAnswer: 90","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -35*x = -95*x + 255660. What is the hundreds digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*c + 258 = -6*c - 5*p, -486 = -4*c - 5*p. What is the remainder when c is divided by 64?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*w - 28 = 4*v, 3*v + 2*w - 3*w = -5. What are the prime factors of (-136)\/(-3)*3\/(-3)*v?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((k**(-2)\/k)\/(k*k*k*k**6*k))\/(k\/(k\/(k*k**(-1))))**(1\/4) assuming k is positive.\nAnswer: k**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of -3679, -3678, -3677, -3676?\n\"Answer: d - 3680","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let w(m) = -m**3 - 6*m**2 - 10*m + 1. Let c(v) = v**3 + 6*v**2 + 10*v - 1. Let y(u) = -3*c(u) - 2*w(u). Is y(-8) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.07 - 0.37. Let v = 2.77 - 1.77. Which is the nearest to v? (a) z (b) -3 (c) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w be 1\/(2\/72)*(-240)\/(-18). Suppose -9*j = -3*j - w. Calculate the highest common divisor of j and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -15 + 21. Suppose -8*b + 33 = 1. What is the lowest common multiple of z and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -4*x + 93. Let t(o) = -3*o + 47. Let s(l) = 2*i(l) - 5*t(l). Let k(z) = -z + 6. Give 49*k(a) + 6*s(a).\nAnswer: -7*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: -3 + -1*7\/((-49)\/23)\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let h = -168358.99 + 167499. Let i = h - -861. What is i rounded to one decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange ((3*h + h - 3*h)*(0 - 1 - 1) + 4*h + h - 4*h)*(-h**2 - h - 2*h - 6*h) to the form j + s*h**2 + d*h + v*h**3 and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26854 and 65424?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: -0.09*-1\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (6*t**4 + 3*t**4 - 5*t**4)*(t + 2*t - 2*t) + (-4 + t + 5*t - 11*t)*(6*t**4 - 2*t**4 - 2*t**4).\nAnswer: -6*t**5 - 8*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, o: 1, r: 4, j: 6, e: 1}. Give prob of sequence oe.\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:47 AM and 12:43 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve -1\/6*j**3 - 62\/3 - 9\/2*j**2 + 20*j = 0 for j.\nAnswer: -31, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 275, -89, -535, -1069, -1697, -2425, -3259?\n\"Answer: -l**3 - 35*l**2 - 252*l + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 4 minutes before 5:44 AM?\nAnswer: 5:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the zth term of -4582, -4600, -4606, -4594, -4558, -4492, -4390, -4246?\n\"Answer: z**3 - 25*z - 4558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let z = 106 - -1750. List the prime factors of z.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the second smallest value? (a) 9069 (b) -299.33 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is (-22579)\/1348*16\/(-21976)?\nAnswer: 1\/82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -89*i - 10035. Let a be z(-115). Let t(m) = 13*m - 5. Let l be t(5). Calculate the greatest common factor of l and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*q = 48*q - 63 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 12 = 3*w - 6. Suppose 0 = -2*d + 3*c - w, -2*c - 8 = -2*d - 6*c. Let r = 73\/3 + -377\/15. Which is greater: r or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(i) = -8*i**2 - 4*i - 6. Let l(h) = -h - 1. Give -f(o) + 6*l(o).\nAnswer: 8*o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of -2*f**4 - 453*f**3 - 2*f**2 - 773*f - 17 wrt f.\nAnswer: -24*f**2 - 2718*f - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*q = -14*q + 504. What is the highest common factor of 54 and q?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7922 - 8*n + 6*n + 3*n.\nAnswer: n - 7922","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(l) = 2*l**2 - 308*l - 9333. Calculate w(180).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: In base 4, what is 11111123 - 32022?\nAnswer: 11013101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x be (-12)\/(-16)*2\/(-6). What is the nearest to -1 in 4, x, 1\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 87 a factor of 2523?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from {q: 2, v: 9, j: 4, h: 1, m: 1}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*h + 4*h - 3*h)*(0 + 0 - 7*h) - 3*h**2 + 3*h**2 + 8*h**2 + (0*h + 0*h + h)*(-1 + 1 - 2*h) + 4*h**2 - 5*h**2 + 3*h**2.\nAnswer: 15*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 22 a factor of 16482405?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (392*y + 301 + 301 - 602)*(-20 + 25 - 48).\nAnswer: -16856*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let j(g) = 6*g**2 + 3*g + 22. Let c be j(5). What is the highest common divisor of c and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate (26\/(-2))\/((-38389)\/(-109261)).\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 41704 and 25936?\nAnswer: 135204368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 421 minutes after 9:09 PM?\nAnswer: 4:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -3 in 2, 1\/6, 55\/2, 8\/3, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 376 at most -342?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 512, 1129, 2544, 5099, 9136, 14997, 23024?\nAnswer: 33559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6537.9987412 - 6538. Round h to 4 dps.\nAnswer: -0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -56\/6515 and 23\/30?\nAnswer: 39090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let m = -652833 - -158833. Round m to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -18 - -26. Let q(w) = 10*w**2 + 59*w - 4. Let f be q(-6). Solve 0 = -f*p - o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -1189 - -1280. Calculate the greatest common divisor of 52 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -86*l - 689 = 258 - 259 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Add together -228655157 and 675.\nAnswer: -228654482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m be (0 - -2)\/1 - -2. Suppose 2*b - 26 = y, 2*b + m*y - 76 = -2*b. Suppose o = -0*o + 5. What is the highest common factor of b and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-46)\/12*2622\/(-3496)?\nAnswer: 23\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 1*-1*15\/(-10)*2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 24*l**2 + 25*l**2 - 8*l**2 - 2*l**2.\nAnswer: 39*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Does 451 divide 999539123?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Add -143.9109030451 and 0.23.\nAnswer: -143.6809030451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let w(v) = v**3 - 15*v**2 + 21*v + 55. Give w(13).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let n(b) = -2*b. Suppose -2*p = -6*p - 2*i + 38, 3*i = -3*p + 30. Let o(t) = t + p - 9. What is n(o(g))?\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the eighth root of 84687106 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let h = -5005261\/13959990 + -3\/70505. What is the common denominator of h and -133\/324?\nAnswer: 3564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 47? (a) 0.22 (b) -2 (c) 0.2 (d) 12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -8 (b) 0.1 (c) -4 (d) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: 4 + 1.33123\nAnswer: 5.33123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 3, 39, 2, -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3*q**2 - q**2 + 3*q**2 + (0*q - q + 3*q)*(0 + 0 + 2*q))*(27*q - 18*q - 12*q)*(18*q - 11*q**2 - 18*q).\nAnswer: 99*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let f = 0.21193 + 0.08807. What is the closest to -0.011 in f, -11, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(r) = 4*r - 2. Let q(t) = -5*t + 3. Let w(l) = 3*c(l) + 2*q(l). Let u(j) = 36*j. What is u(w(k))?\nAnswer: 72*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the difference between -0.442 and 2.9?\nAnswer: 3.342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = -2.168 + 0.148. Let z = j - -2. Let o = 0.73 - 0.53. Which is smaller: z or o?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -478*u**2 - 4*u - 3 wrt u?\nAnswer: -956","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = -2 - -8. Let a = z - 6.009. Round a to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = -789765.814827 - -1.814827. Let z = p - -789724.9967. Let m = z + 39. What is m rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a = 26 + -19. What is the second derivative of a*u - 8*u + 9*u**5 + 8*u - 3*u**5 wrt u?\nAnswer: 120*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*y - 3*b = 5*y - 189, 4*y - 2*b = 222. Let d = y + -55. Let j(p) = -d - 167*p**2 + p - p**3 + 168*p**2 + 0*p. Determine j(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 + c1?\nAnswer: c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Express 115*m + 87*m + 1 - 1 + 349*m in the form g + d*m and give d.\nAnswer: 551","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -4, -16.92, -5.71 in ascending order.\nAnswer: -16.92, -5.71, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o(r) = -r**3 + 10*r**2 - 10*r - 11. Let s be o(9). Let z be (6\/4)\/((-3)\/s). Let m = 1 + z. List the prime factors of m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 158222 is divided by 59?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let d(z) be the second derivative of z**3\/6 + 6*z**2 + 2*z. Let r be d(-8). Suppose r*l = 5*l - 1. Solve -l = 4*b - 13 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(q) = -3*q**3 - 41*q**2 + 25*q + 20. What is c(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {z: 4, f: 1, b: 2, l: 2, q: 1}. Give prob of picking 2 b and 1 l.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Solve -2456 = -3*i - 4*v - 2428, -2*i - 4 = -3*v for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert -7612 (base 9) to base 7.\nAnswer: -22220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let z = 72662 - 35580. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -6*v = -2 - 16 - 6 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of 12011, 24022, 36033, 48044, 60055, 72066?\n\"Answer: 12011*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((q**(-2\/3))**(-26)\/((q\/((q\/(q**5\/q))\/q))\/q**(-3)))\/(q**6\/(q*q\/(q\/q**(2\/15)))*q\/(q**(1\/3)\/q)*q*q\/q**(3\/7)) assuming q is positive.\nAnswer: q**(43\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -2*m**2 - 5*m + 4. Let y be n(-4). Let i be (-2)\/y - (-43)\/4. What is the greatest common divisor of i and 44?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(f) = -f**3 - 5*f**2 + 8*f - 5. Let l be w(2). Let x = 22 + l. Solve 0 = 4*r - y - 0 - 9, x*r + 4*y = -15 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 4182552 and 60?\nAnswer: 20912760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Is 17758397 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b be -1 - -15 - 468\/52. Solve -b*t + 2*q + 27 = 0, -5*t + 20 = -q + 6*q for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 248050 to the power of 1\/3, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let v be 6\/(-18)*1*-21. Suppose 5*s + 3*c + 5 = 0, 2*c - v*c - 3 = 3*s. Let x be 2\/(-3) - (s - 0). What is the second biggest value in x, -3\/2, 2\/3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -751.6704 to the nearest 10.\nAnswer: -750","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Solve -134*u = -140*u - 18 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((a\/(a*a**(1\/3)))\/a)\/(a\/((a**(2\/7)\/a)\/a*a)))**(-47) assuming a is positive.\nAnswer: a**(3008\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let q(a) = -2*a**2 - 12*a - 4. Let z = -163 + 157. Give q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Express -2*a**2 + 8 - 6 - 4 + 4*a**2 + 9*a as j*a**2 + w*a + f and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate -28*(-1)\/1*221\/((-71162)\/(-276)).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate -151493100 divided by 3.\nAnswer: -50497700","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2*x - 20240*x**2 + 20235*x**2 - 13*x + 3 - 3 + 3 to o + d*x + n*x**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let c be ((-6516)\/27)\/(-2) - (-2)\/(-3). Suppose -6*n + 4*n = -36. Let b = -3 + n. Calculate the greatest common divisor of b and c.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*w = 13*w + 20. Sort 5, w, 4, 8 in descending order.\nAnswer: 8, 5, 4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d = 57 + -35. Which is bigger: 25 or d?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 11 (base 6) to base 5.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c*c**(-7)*c)\/((c\/c**(-8))\/c) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 496428 and 492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000002775 rounded to 7 dps?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*k + 11 = 20. Let v = -1 + k. Let n = v - 0. Solve n*x - 12 = x - 2*j, j - 3 = x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 301 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let s(y) be the second derivative of y**6\/15 - 8*y**5\/5 + 15*y**4\/2 + 54*y**3 + 2*y + 204. Factor s(p).\nAnswer: 2*p*(p - 9)**2*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of 36, 19, 4, -9, -20, -29?\n\"Answer: y**2 - 20*y + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: (61 - 73) + -1 - (0 + -68)\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -41.0414 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u(s) = -55690360 + 55690360 - 10*s**2. Let y(l) = 946*l. What is y(u(g))?\nAnswer: -9460*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is (3*1\/(-10))\/(8\/((-5208)\/(-279)))?\nAnswer: -7\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 9, what is -1 + 1230?\nAnswer: 1228","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the tth term of -8096, -16199, -24302, -32405?\n\"Answer: -8103*t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let m(x) be the third derivative of -8*x**2 + 0*x - 7\/6*x**3 + 0 - 7\/12*x**4. Is m(-4) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 16*c**3 - 4*c - 2*c + 15*c + 14*c wrt c.\nAnswer: 96*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(n) = -n**3 + 24*n**2 - 22*n + 11. Let u be g(23). Let i(q) = -16*q**3 + q**2 + q + 1. Let y be i(-1). What is the greatest common factor of y and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -259 + 415. What are the prime factors of y?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -16*v = 19*v - 4*v - 12183. Solve -v + 375 = 3*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((b**6*b)\/b**7*b**0\/b**(-3))**(-19) assuming b is positive.\nAnswer: b**(-57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -73*d - 106242 - 21630 = -1849*d for d.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Sort -0.34834, 0.1, 1, -2\/11, -8 in decreasing order.\nAnswer: 1, 0.1, -2\/11, -0.34834, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of -6140, -24479, -55016, -97751, -152684?\n\"Answer: -6099*a**2 - 42*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000000344218 rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let j = 246\/5 + -49. Let g(n) be the first derivative of -j*n**5 - 2*n**2 + n**4 + 4*n + 3 - n**3. Find x, given that g(x) = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 9073 and 22489.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = 62 - 58. Suppose 3*k = -c*r - r + 98, 5*k + r = 156. What are the prime factors of k?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -3 + 5 + 49232*y - 2 - 91*y**2 - 49232*y.\nAnswer: -91*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 32925642?\nAnswer: 2, 3, 1297, 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 52346408.\nAnswer: 2, 6543301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2451\/133 - (1 + 17).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -167 - -176. Suppose 4*w - k = 4*c + 15, c - 44 = -4*w. What is the lowest common multiple of 41 and w?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve h = -3*o + 25, 35*o - 78*o - 2*h - 50 = -47*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the square root of 3273009 to the nearest integer?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let i(x) = -x + 2. Let y be i(-3). Let g be ((-4)\/(-10))\/((-1)\/y). What is the units digit of 2\/g + -2 + 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -0.00622594597 rounded to four decimal places?\nAnswer: -0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(o) = o. Let c(l) be the third derivative of 7*l**4\/6 - 44*l**2 - 2*l. Calculate v(c(z)).\nAnswer: 28*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Suppose 13*w + 28 = 15*w. Let o(r) = w*r**2 + 4*r**2 - 15*r**2 + 8. Let k(u) = -u**2. Calculate k(o(f)).\nAnswer: -9*f**4 - 48*f**2 - 64","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 229819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 748*o - 2 - 1284*o + 792*o to the form l*o + u and give l.\nAnswer: 256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 4583150 and 114098.\nAnswer: 1282","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Is 4810921 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is ((3\/(-6))\/(-1))\/(2\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Determine j, given that -j**2 - 6064154*j - 9193490933929 = 0.\nAnswer: -3032077","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: -1200 or -1110?\nAnswer: -1110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 1\/221 or 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let f = -2743 + 3163. Calculate the highest common factor of f and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -406 = -14*i - 20*i - 134. Solve 3*p = -q - 11, 0 = q - 6*p + i*p + 7 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -1 > -871846\/25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: 6\/2*(7\/(-7))\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((g*g**0*g*g**(-3)*g*((g**(-2\/7)*g)\/g)\/(g\/(g**7*g)))**(1\/2))**38 assuming g is positive.\nAnswer: g**(893\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: 0.3*34.265333\nAnswer: 10.2795999","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 1292819 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: 119*0.69\nAnswer: 82.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is -3 times 0.02814296?\nAnswer: -0.08442888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let v(i) = -i**3 + i**2 + i - 1. Let d(q) = -2*q**3 - 5*q**2 - 5*q + 5. What is d(u) + 5*v(u)?\nAnswer: -7*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -19\/18 and (-189)\/(-22) + -2 + 2\/(-1).\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {t: 10, u: 2, c: 3}. What is prob of sequence ctcc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f = -11.86 - -12. Let h = f + -0.04. What is the nearest to -2\/5 in -5, h, -2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((1232\/759)\/28)\/(4\/(-450)*-5)?\nAnswer: 30\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) -0.5 (b) 0 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from twnavnwtnw. Give prob of sequence av.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Total of -990648 and 99.01.\nAnswer: -990548.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l = 250.0000891 + -250. What is l rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 6:46 AM and 9:41 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let o(n) = n**2 - 29*n + 168. Suppose -4*t = -2*y - 70, -2*t - t - 5*y + 85 = 0. Let r be o(t). Put r, -4, -2, 0 in increasing order.\nAnswer: r, -4, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 4642 and 1320.\nAnswer: 278520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let h(t) = t**3 - 26*t**2 - 4164*t + 81639. Determine h(19).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {m: 1, j: 1, o: 1, g: 1, e: 1, i: 2}. Give prob of picking 3 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 2199031?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1271922.\nAnswer: 2, 3, 59, 3593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Solve -381 = -27*b + 132 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let m be ((-721)\/(-175) - 4)*(-45)\/(-54). What is the closest to -1\/4 in -1\/2, 1, -0.3, m?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let p = 8 - 6. Let v(h) = h - 3*h + 2*h + h + 10*h**p. Let n be v(-1). What is the highest common divisor of 81 and n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 2*z**2 + 7*z + 84. Let s be k(-7). Suppose 14*t + s = 231. Let d = -37 - -114. What is the highest common divisor of d and t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is y in 5*y**3 + 175*y**2 = 0?\nAnswer: -35, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {u: 1, j: 1, f: 1, p: 2, l: 1, h: 2}. What is prob of sequence jf?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -21*f**2 + 6*f**2 + 130*f**2 + 21*f**2.\nAnswer: 136*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -5*h**2 + 2*h. Let q(z) = -4*z + 5*z - 1 + 2 + 0*z**2 + z**2. Let n(m) = l(m) - 2*q(m). Differentiate n(v) wrt v.\nAnswer: -14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -12138001*p*x**2 - 16469445*x**2 wrt p?\nAnswer: -12138001*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} {"text":"Question: Put -4, 2791\/3, -2 in decreasing order.\nAnswer: 2791\/3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the fifth smallest value in 11, -0.02, 7, 0.2, 0.3, -20?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence srqf when four letters picked without replacement from {n: 1, f: 1, r: 3, t: 2, q: 4, s: 1}?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 2*1\/(2*2\/10).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let a = 47 + -47. Suppose a = 5*i + 5*t - 430, 0 = -2*i - 0*t - 4*t + 174. Calculate the greatest common factor of 34 and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 4652800 rounded to the nearest 10000?\nAnswer: 4650000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -4, -0.146, 2\/23, -3, -2\/7, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let c = -11.5095 + 7.5. Let l = c + 4. What is l rounded to three dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*q + 4*q + 405 = 5*a, 5*a - 5*q = 420. Suppose 2*k + 0*k = 10, -4*n - 4*k = -28. Suppose -n*m = 53 - a. Which is smaller: 12 or m?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Are -138122 and 54 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ukwk when four letters picked without replacement from {w: 2, u: 1, k: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -2\/17 (b) -1.56 (c) -1\/5 (d) -1\/7 (e) -2 (f) 1.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 340, 336, 332?\nAnswer: 328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*g + 187 = -4*f, 0 = g + f - 24 + 88. Is ((-92)\/g)\/(2\/27) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*g**3\/4 + 48*g**2 - 99*g.\nAnswer: 3*g*(g - 2)*(g + 66)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express 36 + 42 - 3*u**4 - 2*u - 75 - 5*u**4 - u**2 in the form j*u + z*u**2 + f*u**3 + l + c*u**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2400 and 1.01502?\nAnswer: -2436.048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 782\/(-12) - ((-27288)\/432 + 64).\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ccd when three letters picked without replacement from {d: 4, c: 3, w: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j(n) = 2*n. Let s(x) = 79581858*x. Determine s(j(a)).\nAnswer: 159163716*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-6*sqrt(56))\/sqrt(8))**2*2 + (sqrt(63) + sqrt(567)\/sqrt(9))**2 + 2.\nAnswer: 758","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = 2*w - 1. Let g(j) = j**3 - 5*j**2 + 4*j - 3. Let p be g(4). Suppose h = 5*d + 11, 3*d - d = -5*h + 1. Let q(r) = r - 1. Give h*u(o) + p*q(o).\nAnswer: -o + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 2817363, 5634726, 8452089, 11269452, 14086815?\nAnswer: 16904178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 8375910*y**2 + 11025145.\nAnswer: 16751820*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose t = -t + 4. Let s = 10 - 6. What is the second derivative of -4*p - 2*p**t + 2*p - s*p + p wrt p?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.01038+-261452864\nAnswer: -261452863.98962","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 292291031 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Calculate 10828260 divided by -4.\nAnswer: -2707065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let m = 1.8 + -1.73. Let v = 0.07 - m. Which is greater: v or -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6 = -3*q + q. Let g be (-19)\/(-3) - 14\/42. Let r = q + g. Calculate the remainder when r is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.07 - -0.03. Let c = 3.5 - -3.5. Which is smaller: n or c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-3 + 3 - v**2)*((1 + 2 - 5)*(v - 2*v + 3*v) + 85*v + 19*v - 6*v) + 2*v**3 - 2*v**3 - v**3.\nAnswer: -95*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 48 and 216?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let a(o) = 20*o - 308. What is a(6)?\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let z(c) = 7*c**3 + 43*c**2 - 183*c + 98. Is z(31) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -k = y + 2, 7*k - 10*k - 10 = 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 30 = 37*o - 34*o. Suppose o*w = 13*w - 7443. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(l) = -10*l**2 + 1. Let u(c) = -c**2 + 2. Let j(n) = 7*n**2 - 12. Let q(p) = -j(p) - 6*u(p). What is 14*q(m) - 2*s(m)?\nAnswer: 6*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from fhn. Give prob of sequence fhn.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6\/5 of a decade?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence ru when two letters picked without replacement from uuuuruususr.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 5381093 (base 10) to base 4.\nAnswer: 110201233211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 2\/5 (b) -177 (c) 18 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(b) = -b + 11. Let f be v(9). Sort f, 1, 3.\nAnswer: 1, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 366494 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v = -40 + 38. Which is the second biggest value? (a) 0.3 (b) v (c) -14\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 250 smaller than 8719\/35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 794817697 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 140902 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth biggest value in -1\/7, -45, 1, -41, 0.4, -14?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let j be (50\/5)\/((-2)\/(-36)*-4). Let n(l) = -9*l + 451. What is the hundreds digit of n(j)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: 53895 (base 11) to base 4\nAnswer: 103012332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 4 + 42*c + 0 - 7*c - 17*c + 5*c. Let n(q) = q. Give b(n(h)).\nAnswer: 23*h + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {b: 3, d: 1, e: 3, f: 2, l: 1}. Give prob of picking 1 f and 2 e.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 4012559?\nAnswer: 991, 4049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -589*i**3*q - i**2*q**2 + i*q**3 - 984*q**3 wrt i.\nAnswer: -1767*i**2*q - 2*i*q**2 + q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 32 = -0*o - 0*o - 2*w, 2682507*o + 2*w = 2682542*o + 108 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -5? (a) 1\/7 (b) 1\/11 (c) -1\/4 (d) -518 (e) 0.5 (f) 137\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*k - 3*k = -1. Suppose -k = -x + 17. Calculate the greatest common factor of x and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (-2)\/(-11) - 1083\/(-33) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 950, 1440, 1940, 2456, 2994, 3560, 4160, 4800?\n\"Answer: g**3 - g**2 + 486*g + 464","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let y be (16 + -2)*3\/6. Let n(j) = -j**2 + 8*j - 1. Let q be n(y). Suppose -2*s = -q*s. Solve 7*k - 4*k - 6 = s for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = 993.749 + -14.649. Let r = -930 + m. Let d = r + -49. Which is smaller: 67 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -2*b**2*c*x - 7*b**2*c - 29*b**2*x - 9*b**2 - 30*b - 2*c*x + 116 wrt b?\nAnswer: -4*c*x - 14*c - 58*x - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when -7 - -1291 - 0\/(-2)*(-2)\/6 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 12 and ((-12)\/(-10))\/(3\/10).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:10 PM and 6:41 PM?\nAnswer: 91","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: -24a (base 13) to base 6\nAnswer: -1504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 3 + 43341?\nAnswer: 43344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence ve when two letters picked without replacement from {e: 1, o: 1, v: 7, x: 6, c: 2}?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let x(q) = -q**2 + 7*q + 12. Let o be x(8). Suppose -o*d + 5*d = 0. Solve 5*y + 2 + 3 = d for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2264.\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Suppose 20 = -4*q, 1 + 13 = -3*f - 4*q. Factor -5*s**4 - 6*s + 4*s - 9*s**3 + 0*s - 3*s**f - s**5 - 4*s**2.\nAnswer: -s*(s + 1)**3*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(x) = -53*x. Let j be c(-2). Let i = 217 - j. Suppose 12 = p + 4*q - 8, 3*p = 5*q + i. Calculate the highest common divisor of p and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 1481?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1232 - 43856501109.\nAnswer: -43856501108.8768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth biggest value? (a) 1\/3 (b) -9.1 (c) 3\/4 (d) -0.2 (e) 1 (f) 19 (g) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve -38 = -4*y + i, 0 = -29*y + 2*i + 9 + 172 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Solve -62*k - 38*k + 32063 - 28963 = 0 for k.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the biggest value in -10\/29, 3, -3, -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 7401290?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*t**3 - 14586*t**2 - 203616*t = 0 for t.\nAnswer: -4848, -14, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t = 1021 - 1020.7. Let a = -0.05 - 1.95. What is the smallest value in 0.1, t, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 179484920 from 0.233.\nAnswer: -179484919.767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let z(i) = -i**2 - 3*i + 2. Let j(o) = 4*o**2 + 13*o - 7. Let l(h) = -2*j(h) - 9*z(h). What is the units digit of l(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose l = -a + 3*a - 11, 9 = l + 3*a. Let b = 50408 + -50406. What is the closest to -0.1 in l, -1, b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 7078*b**3 - 8962*b**2 - 271409951*b wrt b?\nAnswer: 42468*b - 17924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is 73\/5 of a gram in milligrams?\nAnswer: 14600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of 3244*j + 68?\nAnswer: 3244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*l + 7*o - 2*o = 15, -5*o + 30 = -l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {y: 1, w: 2, c: 6, r: 2, x: 1, a: 6}. What is prob of picking 1 c, 1 y, and 1 x?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Multiply -0.2 and 23527.\nAnswer: -4705.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is -5163\/5485 bigger than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is (-15)\/(-6)*36\/30?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g be 2\/(-3) + 28\/6. Let t(u) = u**2 + 3*u - 2. Let q be t(-4). Suppose -3*j = -4*i - 1946, -g*j - j + 3252 = q*i. Round j to the nearest 100.\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 2014?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*l - 58 = y + 73, 263 = 4*l - 3*y. Solve 15*d - l = -5 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*i = -4*h - i + 281, 5*h = 2*i + 355. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -16431, -29193, -41955, -54717?\nAnswer: -67479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is 1.2738382 times -0.02?\nAnswer: -0.025476764","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 13 a factor of 572416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let -t**3 - 9*t**2 + 21*t + 245 = 0. Calculate t.\nAnswer: -7, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in 0.5, 2\/107, 4\/7, -3\/4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -4*j**2 + 37557*j + 603883 with respect to j.\nAnswer: -8*j + 37557","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from eboymmebyfyyofym. Give prob of picking 2 y.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the pth term of 12, 30, 62, 108, 168, 242, 330?\n\"Answer: 7*p**2 - 3*p + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.348 in 28, -3\/5, -2.36, 2, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Divide 648 by -3.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 82936748, 165873500, 248810252?\n\"Answer: 82936752*v - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let c(z) = z**2 - 7*z - 4. Let l be c(6). Let p be 3*(l\/(-6) - 1). What is the first derivative of 4*j**2 + 1 + 2*j**p - 4*j**2 wrt j?\nAnswer: 4*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 527 a factor of 115033243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 331 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*p = -3*x - 27, -4*x + 3 = -2*p + 29. Suppose 3 = p*k - 27. Solve 3*j = -2*w - 5, -k = -j - 5*w - 3 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*q + 28310 = 2*i, 0*i - 5*i - 14161 = -2*q. List the prime factors of q.\nAnswer: 2, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 20388 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let u(o) = 25*o**3 + 10*o**2 + 93*o + 27. Let a(w) = 8*w**3 + 3*w**2 + 31*w + 8. What is -7*a(m) + 2*u(m)?\nAnswer: -6*m**3 - m**2 - 31*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Put together -0.01 and 5451.\nAnswer: 5450.99","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -23, -147, -485, -1145, -2235, -3863, -6137?\n\"Answer: -18*u**3 + u**2 - u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 4, b: 2, x: 1, w: 7, m: 2}. What is prob of sequence wwx?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 9*n - 8*n = 206. Suppose 154 = -4*u - n. Let l be (0 - 60000)\/((-1)\/u). Round l to the nearest one million.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*v + 11 = 3*v. Suppose 2*w + w = -3*y - 6, -w - 8 = 3*y. What is the biggest value in v, -0.4, w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*y - 19*y + 8 = 0. Let u be (y\/4)\/((-2)\/(-32)). Which is bigger: u or -10?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 32050.3 rounded to the nearest ten thousand?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = 2375*z**3 - 18*z**2 + 6*z + 5. Let f(l) = -2374*l**3 + 15*l**2 - 5*l - 4. Calculate 6*f(o) + 5*h(o).\nAnswer: -2369*o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1572*w - 3207*w + 1635*w + 8*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Sort -120, 0, 1\/2, 0.22273, -5.\nAnswer: -120, -5, 0, 0.22273, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) -3 (b) -2 (c) -0.5 (d) 0.2 (e) 21 (f) 3 (g) 3\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Round 491412400 to the nearest one million.\nAnswer: 491000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let v(r) = -r + 0*r**3 - 4*r**3 + 2 + 0*r + 3*r. Let g(u) = 9*u**3 - u**2 - 4*u - 4. Let b(j) = 2*g(j) + 5*v(j). Determine o so that b(o) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(d) = -d**3 - 22*d**2 - d - 11. Let f = 5929 - 5951. What is z(f)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 15714037.\nAnswer: 23, 137, 4987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let a(j) = -7*j - 23. Let v be a(-3). Suppose -4*f + 6*z = z + 29, 0 = 2*f + z - 3. What is the tens digit of f*v*56\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 700 minutes before 4:35 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) = 6*u + 4. Let h(m) = 5*m + 5. Let t(i) = 5*h(i) - 4*x(i). Let g be t(-9). Put g, 2, 3 in descending order.\nAnswer: 3, 2, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 1284321 and 88190042?\nAnswer: 264570126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 3*q - 9. Let z be j(4). Which is the biggest value? (a) -3\/4 (b) -0.1 (c) z (d) -6\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 4*r + 1494 - 1498 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 335 is divided by 24?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 7*y - 396 - 73. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the jth term of -968, -1881, -2794, -3707, -4620, -5533?\n\"Answer: -913*j - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 3 in -0.095663, -2\/15, -0.1, 6, -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*l = -5*y + 295, l + 227 = y + 3*y. Let k = 272 - y. What is the highest common factor of k and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: 1 divided by -7265086\nAnswer: -1\/7265086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Suppose -111 = -4*b + 6*g - 3*g, 0 = -2*b + g + 53. What is d in -510*d**4 + 80*d**2 + 86*d**2 - 128*d + 78*d**3 + b + 320*d**4 + 50*d**5 = 0?\nAnswer: -1, 2\/5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 9845586?\nAnswer: 2, 3, 546977","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let v(p) = -9*p**2 - 297*p + 9. Let s(c) = 11*c**2 + 298*c - 12. What is -3*s(w) - 4*v(w)?\nAnswer: 3*w**2 + 294*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 1875900 and 225.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 408530 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Is 135023 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Suppose 102*m + 2 = 104*m, -5*p + 4*m = -15406. What are the prime factors of p?\nAnswer: 2, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3\/25 of a millimeter in micrometers?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 3.02017 litres in millilitres?\nAnswer: 3020.17","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u + 59 = -b, 9*u - 5*b + 209 = 12*u. What is the remainder when 311 is divided by u?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be (60\/25)\/((-9)\/(-30)). Suppose s + 12 = 4*n, -d = -s - 5*n - 2. Let h = s + 36. What is the tens digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: ((564\/6063)\/((-1)\/(-2)))\/4\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*u + 3*r = 11, u - r + 1 = 4. Let i(g) = 4*g - 12. Let n be i(u). Solve -n*h = -h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*o + 23500 = 2*o. What is o rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is 1102221 - -112?\nAnswer: 1110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let r(s) = -7*s + 3. Let h = -103 - -202. Let i be (0 + h\/(-6))*2. Let l(d) = 57*d - 24. Let y(m) = i*r(m) - 4*l(m). Find the first derivative of y(g) wrt g.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 40391552 a multiple of 3241?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the third root of 3194326 to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {n: 2, i: 1, q: 3, w: 4, v: 4, g: 1}. Give prob of picking 1 g, 1 v, and 1 i.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 31.2 in 2\/3, 0.1, -0.2, -2\/7?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let y = -278.9353 + -0.0647. Let p = 278.99999666 + y. Round p to 7 decimal places.\nAnswer: -0.0000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 1032 + -5314255?\nAnswer: -5313223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate -2*(-2)\/(48\/4)*-9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: 2 + -23 + 0 + 3 - -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let m(j) = j**3 - 220*j**2 - 823*j + 228138. Calculate m(219).\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 7 in 2, -0.4, 2\/7, 0.3, 23?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = -1391*q**2 + 70*q. Let z(p) = 56*p. Give t(z(b)).\nAnswer: -4362176*b**2 + 3920*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 2*r - 1)*(1 + 3 - 2) + (2 - 3 - 1)*(29 + 45 + 251*r - 253*r) in the form b + c*r and give b.\nAnswer: -148","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(o) = -o**3 - 8*o**2 - o - 8. Let a be x(-8). Suppose 2*n = q - 6*q + 44, -n - q + 16 = a. What is the remainder when 83 is divided by n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(g) = 0 + 2 - 3 + 2*g**2 + 3*g. Calculate the remainder when t(-6) is divided by 28.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 0 + (50 - (-4 - -56))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(z) = z**3 + 3*z**2 - z - 12. Let f(h) = h**3 + 4*h**2 - 2*h - 14. Let t(r) = 5*f(r) - 6*n(r). Let d(w) = -w**2 - 5*w - 2. Let c be d(-4). Give t(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 6*o - o - 20 = s, -4 = -o - 2*s for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -18 + 15 - (-1)\/(-2)*2?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the vth term of 31, 65, 103, 145, 191, 241?\n\"Answer: 2*v**2 + 28*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v(y) = -9*y + 182. Calculate v(18).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 100.8712538 rounded to one decimal place?\nAnswer: 100.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let u = 3654.7 - 3655. Which is the third biggest value? (a) u (b) 5 (c) -2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1141128.\nAnswer: 2, 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {g: 1, n: 1, p: 2}. Give prob of sequence gpn.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 16794587?\nAnswer: 53, 316879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let l(r) = 17167*r - 14042609. What is l(818)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Put together -341 and -0.047052746.\nAnswer: -341.047052746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let k(z) = 22*z - 15. Let i(s) = -66*s + 45. Let c be 4\/5 + 26\/5. Let b(x) = c*i(x) + 21*k(x). What is the derivative of b(d) wrt d?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 1933535653.\nAnswer: 7, 12253, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 5, 2\/3, 4401\/7?\nAnswer: 4401\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 3\/2*4\/6. Let t(o) = -o + 1. Let d be t(h). Let b be ((-1 - d) + 0)*-11. Calculate the greatest common factor of 11 and b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 1141 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 9907 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is 36838007181 take away 2.7?\nAnswer: 36838007178.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Product of 1272 and -0.032.\nAnswer: -40.704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 0.2259243228 rounded to 5 dps?\nAnswer: 0.22592","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify (1 + 1*(sqrt(2448) - (sqrt(2448) + (sqrt(2448) - sqrt(2448)*-3 - sqrt(2448)))) + sqrt(2448) - (-3*sqrt(153)*-1)\/(sqrt(9) + sqrt(9)*1*-5))**2.\nAnswer: -93*sqrt(17)\/2 + 147049\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -23*y**2 + 0*y**2 - 376*y + 372*y + 3*y**2.\nAnswer: -20*y**2 - 4*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -o + 5*t = -6*o + 30, -18 = -5*o - 2*t. Suppose 2*q = 4*i - i + o, 0 = -4*i + 4*q. What is the units digit of i\/(-3)*(-18)\/(-12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 4854 - 4832. Solve -23*h = s*h + 225 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(b) = -b**3 + 2*b**2 + 15*b + 7. Let h be 60\/8 - 160\/64. Determine k(h).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (r**(-6\/25)\/r)\/r**(-30)*(r*((r*r\/(r*r\/(r**(-11)\/r*r*r)*r*r))\/r)\/r)**(-2\/53) assuming r is positive.\nAnswer: r**(38757\/1325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Solve -2763*q = -766*q + 597*q + 337220 for q.\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when (5 - (4 - 2)) + 5*1 is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (4*((2 + sqrt(117) - sqrt(117)) + sqrt(117)))**2 + 1.\nAnswer: 192*sqrt(13) + 1937","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let k be (-5)\/10*-12 + -5. Let g be k\/2*(1080\/265 - 4). Which is smaller: g or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 7 + 10665?\nAnswer: 10672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 7, 0.5, 0.3, -0.12?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let w = -8 + 3. Suppose 4*b = 4*u, 5*b + 10 = 10*b - 3*u. Let j be b - ((-4)\/(-6) - (-196)\/48). Which is smaller: j or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: (50 - 3) + 3 + -1 + 1 - (20 - 20)\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 3151375933 to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 82, 90, 104, 124?\nAnswer: 150","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -86\/45 + 32\/15. Which is the third biggest value? (a) h (b) 1\/47 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 9*p + 44*p - 12*p - 13*p - 11*p - 13*p.\nAnswer: 4*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let i be (-5 - (-51)\/9)*66\/(-4). Let s(u) = -6*u + 3. Let n(h) = 31*h - 16. Let y(w) = i*s(w) - 2*n(w). Give y(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m = -34 - -63. Let q = 59 - 39. Suppose a = 3*a - q. What is the remainder when m is divided by a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence zy when two letters picked without replacement from hhhffyhffzerhf.\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 118359 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Divide 131 by 3.\nAnswer: 131\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in -4\/15, -3\/10, 2, 467?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let k(c) = c**2 + 6*c - 8. What is k(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -10*y - y + 2299. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 5.77555 - 3701.\nAnswer: -3695.22445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(o) = 6*o**2 - 37*o + 39. Let n be p(5). Solve 0 = -s + n*v - 21, -5*s - 8 = -v + 21 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2 in 2\/21, 0.2, -0.07, 3\/8?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6 = 2*i + 3*n - 1, -25 = -2*i + 3*n. What is the remainder when 13 is divided by i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x be 38*(-2 - -1) - 3. Is 16 a factor of x\/2*1*-2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2 + 3. Let a = 23 - 19. Let u = -26 - -77\/3. What is the nearest to q in u, a, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -90 - 59 + 68 - 96 - 254*v wrt v.\nAnswer: -254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u = 2282 + -2217. Let t = -14965 - -89401\/6. Let l = u + t. Which is the closest to -1? (a) l (b) 1\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 327 or 329?\nAnswer: 329","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let u be 5\/(-1)*(26112\/(-30))\/16. Is 7 != u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 71, 159, 247, 335, 423, 511?\nAnswer: 599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let k = 146 - 1213\/8. Calculate the common denominator of k and 14\/21 + (-41)\/192.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(w) = 5*w**2 - 24*w + 1. Let k(n) = 4*n**2 - 19*n + 1. Let o(t) = -3*c(t) + 4*k(t). Suppose 4*y - 8 = y + 4*r, 3*y + r - 13 = 0. Give o(y).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d be 8\/44 + 152\/11. Let a = -10 + d. Solve 5*m = -2*l + 4 + a, 2*m - 3*l = -12 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 3 + -164497?\nAnswer: -164494","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is bigger: 87 or 529\/6?\nAnswer: 529\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: -2632 divided by -4\nAnswer: 658","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let r be (1 - -11)*(-4)\/(-12). Suppose -1236780 - 283220 = r*i. Round i to the nearest one hundred thousand.\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 624319146?\nAnswer: 2, 3, 11, 79, 167, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -68744 in -1\/7, 1\/3, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Is 52250251 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 0.2 in 5\/4, 1\/8, 2\/7, -1\/12, 0?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 0.5, -35.18, -1\/2 in descending order.\nAnswer: 0.5, -1\/2, -1, -35.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let x(u) be the second derivative of u**3\/6 - 8*u**2 + 4*u. Let c be x(12). Let i be c\/10 + (-14)\/(-10). Are 2\/23 and i unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -2 (b) 7 (c) -72\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is -185 times 1?\nAnswer: -185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is greater: 2 or -14?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*x**5 + 1 + 2*x**5 + 0 + (1 - x**2 - 1)*(x**3 - 128*x**2 + 53*x**2 + 2 + 0*x**3).\nAnswer: x**5 + 75*x**4 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*j + 48 = -4*p, 2*j - 2*p - 80 = 5*j. Calculate the remainder when (7 + 189\/j)\/((-1)\/(-28)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ninth root of 5985594 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rrm when three letters picked without replacement from {r: 2, m: 1, h: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate 18\/(-924)*-189 + (-2)\/11.\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Multiply -5 and 2602.\nAnswer: -13010","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: In base 8, what is 600 + -164?\nAnswer: 414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve 59*o + 20454 + 3462 - 1638 = 341*o for o.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.8 - -0.71. Let n = -4.09 - y. Let s = -2.26 + 2.06. Put 3, n, s in descending order.\nAnswer: 3, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) be the first derivative of -4 - 15\/2*j**2 - j. Calculate the remainder when 55 is divided by x(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of -69\/70 and -83\/546?\nAnswer: 2730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the hth term of 528, 538, 554, 576, 604, 638?\n\"Answer: 3*h**2 + h + 524","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20*s**3 + 4647255*s**2 - 4647255*s**2.\nAnswer: 20*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let p = 78 + -238\/3. Suppose 2*i = -2*i. Is p smaller than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(q) be the first derivative of -3*q**4\/4 + 26*q**3 + 255*q**2\/2 + 174*q - 566. Factor o(d).\nAnswer: -3*(d - 29)*(d + 1)*(d + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 2756 = -116*i - 82*i + 146*i for i.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 580 and 34?\nAnswer: 9860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000075383 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) be the first derivative of -67*l**2\/2 - 2*l + 6435. Let x(j) = 135*j + 5. Give -5*g(u) - 2*x(u).\nAnswer: 65*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) 11 (b) -0.3 (c) -1\/3 (d) 39 (e) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 172491650?\nAnswer: 2, 5, 683, 5051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 3566477, 3566473, 3566469, 3566465, 3566461?\nAnswer: 3566457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-9 - -11) + -7 + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let f(q) = 2*q**2 + 25*q - 8. Let k be f(-13). Let a = -26 + 46. Solve i - a = k*i for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x(c) = c. Let i(p) = -5*p. Let n(d) = 6*d. Let w(l) = -4*i(l) - 3*n(l). Give x(w(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 0 less than -4129508?\nAnswer: -4129508","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 1 in 0, -7\/23, -0.07, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -x - 23 = -166. Let u = -334 + x. What is u rounded to the nearest 10?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (1890 + 1914 + 318*m - 3803)*(-m + m - m)*(m - m - 2*m**2).\nAnswer: 636*m**4 + 2*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the third biggest value in -0.02, 7, 5, -2\/15, -14688?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 22\/(-4*8\/240*15)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 21 - 5 = -a. Let u be (1 + 52\/(-4))*12\/a. Find the second derivative of -q**3 - u*q + 15*q**3 + 0*q - 2*q wrt q.\nAnswer: 84*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2 a factor of 16559?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 m and 1 z when two letters picked without replacement from zzzmlkmzklzlzw?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Is 37 a factor of 90175?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -4*f + 5*w + 9 - 1, 4*f = -4*w + 8. Find the third derivative of -4*i**2 + 146 + 14*i**f + 6*i**6 - 146 wrt i.\nAnswer: 720*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let x = -17 + 33. Suppose z - x - 29 = 5*f, 3*z - f = 135. What is z rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (t**(-1\/7)*t**(-2\/13))**(-41)*(t**(-3\/7)\/t*t*t**(-2))**(-50) assuming t is positive.\nAnswer: t**(12157\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} {"text":"Question: Let s(g) be the second derivative of -g**5\/20 - g**3\/6 + g**2 - 6*g. Let z be s(0). Suppose 0*m - m = 0. Sort 3, z, m.\nAnswer: m, z, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*t**2 - 4*t**2 + 3*t**2 + (-14 - 5*t + 14)*(-t + 2*t + 0*t).\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let n(o) = -o - 17. Let u(s) = -2. Let v(c) = n(c) - 3*u(c). Let i be v(-7). Sort 0, i, 5, 11 in ascending order.\nAnswer: i, 0, 5, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 239921 to the power of 1\/3, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let l be ((-5)\/(-3))\/((-3 + 2)\/(-12)). Let r(k) = 161*k**2 + 2. Let i be r(-1). Suppose 0 = -2*u + i - 43. Calculate the highest common factor of l and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(p) = p. Let q(l) = l. Let z be 8\/(-10)*15\/(-6). Let o(h) = -h**2 - 15*h - 17. Let y be o(-14). Give y*q(a) + z*f(a).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 45172042387 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in 6.599799 decades?\nAnswer: 791.97588","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 721541969 to the power of 1\/2, to the nearest integer?\nAnswer: 26862","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Simplify (l**(1\/7)*l*l*l*l**(5\/2)*l**(3\/7)*l*l\/(l*l**6)*l)**(7\/6) assuming l is positive.\nAnswer: l**(29\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*z = 15, -z + 0*z = -5*u - 3. Let k(p) be the third derivative of -3*p**2 + u + 1\/4*p**4 + 0*p + 1\/20*p**5 + 1\/2*p**3. Find l, given that k(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) -1\/3 (c) -5 (d) 12\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Add -2 and -9336203.55.\nAnswer: -9336205.55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*l = w, 10*w = 4*l + 15*w + 6 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -3*l + 87 + 27. Let a = l - -8. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from oqqooqqqg. What is prob of picking 2 q and 1 g?\nAnswer: 5\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let x(m) = -7*m + 22. Let g be x(2). Find the third derivative of -9*v**3 + 11*v**3 + 6*v**5 + 6*v**2 - 3*v**5 + 7 + g*v**3 wrt v.\nAnswer: 180*v**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = x**3 + 37*x**2 + 32*x - 34. Let a be w(-27). Suppose 0 = 5*b - a - 1223. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (12\/((-240)\/(-10))*-2)\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Round -31.644 to 1 decimal place.\nAnswer: -31.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f = -642 - -650. Let l(z) = -22*z + 138. Let a be l(f). Let i = 12 + -52. Which is smaller: a or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -146833000 to the nearest one million.\nAnswer: -147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 1 - (-6 - 1 - -11)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Convert 32a5 (base 15) to base 7.\nAnswer: 43166","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 130 is divided by 125?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve -102*c + 120*c = -54 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 16049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 4 - -50a52?\nAnswer: 50a56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {n: 10, x: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose o = 5*o - 123 + 15. Let v = -8 + 12. Suppose 0*u + 864 = v*u. Calculate the highest common factor of o and u.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*w + 9803 = p, 5*p + 307*w - 49023 = 309*w. What are the prime factors of p?\nAnswer: 5, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 65*m - 699 = -168*m. Suppose -3*y = 4*j, -2*j + j = 3*y. Sort j, 0.5, m, -3\/5.\nAnswer: -3\/5, j, 0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(y) be the second derivative of 2*y**4\/3 + 4*y**2 - y. What is the derivative of n(r) wrt r?\nAnswer: 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second smallest value in 0.083, -0.022, -9.05?\nAnswer: -0.022","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 40*x - 1074183088 + 1074183088.\nAnswer: 40*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -163, -712, -1619, -2884, -4507?\n\"Answer: -179*x**2 - 12*x + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1958*a + 2 + 260*a - 217*a.\nAnswer: 2001*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = -10 - -14. Suppose 3*i = -d*f + 54, i + 24 = 2*f - 8. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 33511236 divided by 1?\nAnswer: 33511236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h(z) = -z**3 - 2*z - 4. Determine h(0).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*g + 233 = -5*b + 3*b, -245 = -5*g + 5*b. Is (4713\/(-9))\/((-15)\/g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*g - 6 = -2*b, 4*g - 1 = 3*g. Let f be 3 - 4\/b - 16. Let s = f - -22. List the prime factors of s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0 + 10 + -6 + -9 + 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8744 = 3*a + 8585. What is the remainder when 1215 is divided by a?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is fifty-seven halves of a week in hours?\nAnswer: 4788","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Differentiate 83*o**4 + 205272*o**3 - 7945992.\nAnswer: 332*o**3 + 615816*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 9119419777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.073 in 5, 0.08, -7?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*p + 125*n - 121*n + 34, n = 4*p - 12. Which is bigger: 22\/2031 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -1\/6 + 2\/3. Let v = -0.43014 - -0.03014. What is the closest to -1\/6 in v, y, -1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*j = 938 + 3220. What are the prime factors of j?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-10)\/75 + 96\/45 - -13. Suppose -2*l - m = -5*l. Suppose -90 = -3*r + 3*o, 0 = -l*o + 21 - 1. Calculate the remainder when 305 is divided by r.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 14344731 is divided by 37.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 14*r**2 - 52*r**2 + 21*r**2 + 15*r**2.\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Add -0.3 and 32720.3.\nAnswer: 32720","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 83714768?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} {"text":"Question: Let c(m) = -m**3 - m**2 + 2*m + 2. Let j be c(-2). Let l be -4 + 5 - 2\/2. Let i = l + j. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 424077488?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 140847732?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Solve -158*z + 705 + 798 = 9*z for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Simplify 4 + (6*(1 + sqrt(405)))**2*3.\nAnswer: 1944*sqrt(5) + 43852","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let u be -1 - ((-22)\/(-33) - 305\/3). Suppose 0 = -5*q + 65 + 135. Calculate the highest common factor of u and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Determine w, given that -w**4\/8 - 21*w**3\/4 - 207*w**2\/8 + 169*w\/4 + 63 = 0.\nAnswer: -36, -7, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: (302\/19630)\/(93\/45 + -2)\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -159.99 - -160.098. Put 3, 1, z in ascending order.\nAnswer: z, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 3*(-10)\/120*4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g(l) = -l**2 - 3*l - 4. Let c(q) = -q**2 + q - 1. Let j(m) = 2*c(m) - g(m). Let u be j(6). Put u, 3, 5 in decreasing order.\nAnswer: 5, 3, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 278 and 1\/4*(7 - 5)*22.\nAnswer: 3058","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) be the first derivative of k**7\/30 - k**3\/6 - 5*k**2 - 8. Let d(m) be the second derivative of f(m). Differentiate d(r) wrt r.\nAnswer: 28*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 2 + 1 + -2 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n(t) = t**3 + 5*t**2 + 6*t + 2. Let i be n(-4). Let b = i + 43. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 52 a factor of 173505?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 11, what is -21 - 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let w(q) = -3*q - 9. Let u(j) = j + 4. Let v(m) = 5*u(m) + 2*w(m). Let h be v(2). Let b(c) = 2 - 3 - 4*c + h. What is b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*m**4 + 13588*m**3 - 95048*m**2 + 203628*m - 122166 = 0. Calculate m.\nAnswer: 1, 3, 6787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) be the first derivative of 5*i**3\/3 + 3*i**2 + 4. What is the second derivative of t(g) wrt g?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -0.1? (a) -5 (b) -7\/15 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let l = 34 - 321. Let h = l + 285.41. Round h to 1 decimal place.\nAnswer: -1.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 108341773667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -52\/591 and -56\/6618609.\nAnswer: 6618609","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 1\/10 (b) 0.2 (c) 3\/4 (d) 103977 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is the ten millions digit of 123303069?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v(h) = h**2 + 6*h - 7. Let s be v(-7). Suppose 2*f = -s*i + 3*i + 67, 0 = 5*f - 4*i - 171. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 5, o: 9}?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let y(w) = 21*w**2 - 3*w + 3. Let z be y(-2). Suppose -z = 5*f - 36*f. Solve -5 = f*c + 7 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -3355*t**3 - 501*t**2 + 15195*t + 10?\nAnswer: -20130*t - 1002","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: 9\/(-6)*2 - 45\/(-12)\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 8 + -2. Solve -5*h - 6 = q, -g = 2*h + h + 3*q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 6*m**5 + 36*m**3 + 13*m**3 - 8*m**3 - 12*m**5 + 741*m - 109*m**3 wrt m?\nAnswer: -120*m**3 - 408*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is a (base 14) in base 5?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence sc when two letters picked without replacement from pafapxcs?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let n(c) = -2*c**2 - 26*c - 9 - 4*c**2 - 11 + 7*c**2. Calculate the remainder when 42 is divided by n(27).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 172, -6208, -12588?\nAnswer: -18968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 1? (a) 4 (b) -1\/9 (c) -21.3 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let h be 2\/(-15)*36\/(-15180). Let m = -164608\/499675 + h. Let r = 8297\/474 - m. What is the common denominator of r and 41\/6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6351*b**4\/5 - 11430*b**3 + 7605*b**2 + 20334*b + 144\/5 = 0. What is b?\nAnswer: -1, -3\/2117, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 2*h**4 - 12707686*h**3 - 5*h**2 + 1953*h + 113 wrt h?\nAnswer: 48*h - 76246116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 72 is divided by 27?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {u: 2, w: 12, h: 2, e: 2}. What is prob of sequence ehu?\nAnswer: 1\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let h = 14.9 - 15. Let z = 1000.5 + -1000. Sort -3\/7, -3, h, z.\nAnswer: -3, -3\/7, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 14441636327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let d = 4 - 3. Let s be 2 + -1 + 0\/d. Solve -t**4 - 11*t**3 - 3*t**4 + t + s - 2*t - 9*t**2 = 0 for t.\nAnswer: -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c(l) be the second derivative of 2*l + 23\/5*l**5 - 4*l**2 + 26\/3*l**4 + 14\/3*l**3 + 16 + 4\/5*l**6. Determine r, given that c(r) = 0.\nAnswer: -2, -1, 1\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l = -10 + 9. Let m be l\/3*7 + -3. Let r = m - -71\/15. Which is the biggest value? (a) 1 (b) -2 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -1, -4\/15, -55?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Sort -140, -3, 1, 70, -1 in decreasing order.\nAnswer: 70, 1, -1, -3, -140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 98361 is divided by 19?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -686*s**2*u**2 - 2*s**2*u + 4*s*u**2 - u**2 + 6170*u wrt u?\nAnswer: -1372*s**2 + 8*s - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let n = -24639 + 43822. What is the thousands digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -20*n**2 - 11 + 9 + 2.\nAnswer: -20*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let n = -6 + 9. Let g = -75 + 66. Let t = n + g. Let m(d) = -2*d - 7. Give m(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(o) = -o**3 - o**2 + o. Let c(g) = 2*g**2 - 5*g**3 + 216 - 5*g + 8*g**2 - 5. Let w(t) = -c(t) - 5*s(t). Differentiate w(k) with respect to k.\nAnswer: 30*k**2 - 10*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 518453479?\nAnswer: 3739, 138661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the dth term of 22, 48, 96, 178, 306, 492?\n\"Answer: 2*d**3 - d**2 + 15*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Solve b - 5*w = 6 + 6, -4*b = 5*w + 2 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate 2 + 8\/(-5) + 0 + 25\/((-2250)\/(-1134)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is 3242333 (base 7) in base 6?\nAnswer: 12302022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 48 divide 13651776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Convert 96 (base 14) to base 3.\nAnswer: 11220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-7)\/(-35) + ((-336)\/(-185))\/2. Let s = -1903\/148 + h. Calculate the common denominator of -99\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -21, -42, -67, -96?\nAnswer: -129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -472 - 463 + c**3 + 935.\nAnswer: c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is (6\/5)\/(84\/(-140))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is ((-5)\/((-80)\/(-46)))\/(11*8\/(-704))?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = -194\/1187 + 2956\/3561. Suppose -4*x + 5*y + 12 = -5, 3*y = 5*x - 5. What is the third biggest value in g, -3\/2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred thousands digit of 1056652468?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let q = 71\/222 + 1\/74. What is the closest to q in 2\/11, -4\/3, -2?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f be -1 - ((15 - 93) + -5 + 0). What is the biggest value in -2\/13, f, 4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 282\/8 - -2*3\/(-24). Suppose -11*o + c = -4*o. Suppose 2*v - 160 = -0*v - 5*m, -2*v + o*m + 160 = 0. List the prime factors of v.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(g) = g**2 - g - 9. Let c(z) = -z + 3. What is the remainder when c(-8) is divided by q(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r(c) be the second derivative of c**3\/6 - 592*c - 2. Let i(a) = -213*a + 0 - 2 + 2. Determine i(r(l)).\nAnswer: -213*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Is 2092841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let b(y) = 13*y**2 + y - 1. Let o be b(1). Suppose -1 = -a - k, -9 = -2*a - 5*k - o. Put a, -0.5, 1.1 in decreasing order.\nAnswer: a, 1.1, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1 + sqrt(1377))*5)**2.\nAnswer: -450*sqrt(17) + 34450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Put -3, 3\/772, -2\/7 in descending order.\nAnswer: 3\/772, -2\/7, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate 109197660 divided by -195.\nAnswer: -559988","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Simplify 2*(sqrt(13) + sqrt(13) + (-1 + sqrt(13) + -4)**2).\nAnswer: -16*sqrt(13) + 76","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(d) be the second derivative of d**6\/105 - 2*d**5\/7 - d**4\/2 + 2450*d. Find w, given that n(w) = 0.\nAnswer: -1, 0, 21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1152 divided by -384?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let h = -2 + 4. Suppose 2*k - 8 = -2*y, -5*k + 12 + 7 = 4*y. Put h, 5, y in decreasing order.\nAnswer: 5, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve j - 8 = -5*o, 2*j - 5 + 1 = -4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -14555, -14558, -14559, -14558, -14555?\nAnswer: -14550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: 1155 * 0.5\nAnswer: 577.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose -m = 3 - 4. What is the remainder when 19 is divided by (5\/15)\/((2\/66)\/m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let v be (6\/7)\/(2\/(-14)). Let h = v - -8. Suppose -49 = -5*y + 3*x, h*y - y - x = 11. Calculate the remainder when 29 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 43 - 33 - ((-2 - -2) + 5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Rearrange -o + o + 39*o**2 - 39*o**2 + 1 + 2*o**4 - 4*o - 2*o**3 to the form a*o + n*o**2 + s + d*o**3 + f*o**4 and give a.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k = -22.00073 + 22. Round k to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 14, what is 101 + 345c9?\nAnswer: 346ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*v**2 + v**2 + 2*v - v**2 + 0*v.\nAnswer: 3*v**2 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Product of 0.1 and 3.42956.\nAnswer: 0.342956","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Is 2802432977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-1)\/(116\/16 - (-7)\/(-1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Does 10 divide 12654350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = 15*o - 54 - 6 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 0.0000298358 rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: 15\/(-20)*24\/117\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is -10222202212 (base 3) in base 5?\nAnswer: -10003231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 544 - 388. Let z = s + -54. Suppose 4*k + z = 850. What is the greatest common factor of k and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 1142817667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Calculate the least common multiple of 958867 and 853497.\nAnswer: 77668227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Put -1\/9, 16, 182.12, 3 in descending order.\nAnswer: 182.12, 16, 3, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 26458251 at least as big as 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is 149 minutes after 8:10 AM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 23*n - 20*n + 3 = 0. Let t(v) = v**3 + 3*v**2 - 5*v - 3. Let l be t(-4). Let a(h) = -h**2 - h. Let w be a(-2). Sort w, l, n.\nAnswer: w, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(x) = 59*x**2 - 3*x - 2. Suppose -5*d = 5*z + 2 - 22, 0 = 4*d - 5*z + 29. Is 12 a factor of w(d)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence rlrl when four letters picked without replacement from {l: 2, r: 8}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 7, e: 3}. Give prob of sequence er.\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 2 b and 1 q when three letters picked without replacement from qfqqqbqqbqbqqqqaqfq?\nAnswer: 13\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from fssveptttfs. Give prob of sequence ef.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let j be 253\/198 + (-22 - (-3970)\/180). Determine m, given that 59\/2*m**2 - 52\/3*m**3 - 35\/3*m + 8\/3*m**4 + j = 0.\nAnswer: 1\/4, 2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -848*t + 3191*t - 799*t - 852*t - 687*t.\nAnswer: 5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1082035 is divided by 783.\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let v(w) = 3*w**2. Let u(p) = -8*p + 6. Let g(a) = -9*a + 7. Let k = 2 - 4. Let y be (k\/(-3))\/((-4)\/(-42)). Let d(q) = y*u(q) - 6*g(q). Determine v(d(i)).\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Convert 13946c (base 16) to base 7.\nAnswer: 13623023","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Does 13 divide (-862)\/(-22) + (-2)\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: How many millilitres are there in 21\/2 of a litre?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose -12161 = -26*t + 9055. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(o) = -2*o + 26. Let p(s) = s + 4. Let n(a) = b(a) - 5*p(a). What is the remainder when 35 is divided by n(-2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 21000 (base 3) in base 6?\nAnswer: 513","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let u be (-2*(-2)\/(-4))\/((-2)\/4). Suppose 4*d = -2*z + u, -5*z - 5 = -10*z. Solve -2*h - 10 = -d for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is next in 3005, 3002, 2999, 2996, 2993?\nAnswer: 2990","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44 = -5*r - 3*v + 67, -15 = 5*v. Let l = r - 23. Let t = 0.01 - -0.29. What is the closest to t in -1\/2, 2\/11, l?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -3910*p + 4174*p - 11352 for p.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b(f) = 2*f**2 - f + 1. Let o be b(2). List the prime factors of (-4)\/14 - (-44)\/o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(a) = -a**3 - a**2 + 98*a + 191. What is b(-2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Solve h + s = -9, h + 1 = 5*s + 16 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let l(j) = -2*j**3 - 4*j**2 + 6. Let a be l(-2). Let m(s) = -68*s - 23. Let h(q) = -23*q - 8. What is a*m(w) - 17*h(w)?\nAnswer: -17*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let t = 13 - 14. Let k be -18*(22\/(-3) + t). Suppose a + k = 6*a. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 147933413 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Which is the sixth biggest value? (a) 2 (b) 0.1 (c) -5 (d) -15 (e) -1 (f) 5 (g) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -3 + 1 + 0 + 10 + -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 15141 and 5500509.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {c: 1, l: 2, w: 1, s: 4, t: 2}. What is prob of sequence wc?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 572208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is 11 a factor of 605?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Determine n, given that -n**2\/4 - 2535137*n\/4 - 633784 = 0.\nAnswer: -2535136, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let f be 4*(1 + -1 - 1). Let g be -3 + f\/(-1) - -1. Suppose -g*d = -10, 3*t + 2 = -d - 2. Let n(y) = -y**3 - 3*y**2 + 2*y. What is n(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanometers are there in 7.647061cm?\nAnswer: 76470610","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 527484 a multiple of 389?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is 1 plus -253021632?\nAnswer: -253021631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is -12317513.08 rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 20 - 1 - 19 + 156*w**2.\nAnswer: 156*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let q = -1007 - -1065. What are the prime factors of q?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of 56402, 112850, 169298, 225746, 282194, 338642?\n\"Answer: 56448*g - 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 209 and 646.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is -6710281 times -0.3?\nAnswer: 2013084.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((((w*w\/(w**(1\/2)\/w*w)*w)\/w)**41\/(w*w**(-1\/9)*w**(-1)))**(2\/53))**(-37) assuming w is positive.\nAnswer: w**(-41033\/477)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let t(r) = r**2 - 145*r + 13. Let y(g) = 3*g**2 - 511*g + 40. Let j(n) = 7*t(n) - 2*y(n). Calculate j(-11).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-44)\/40*-4 - 12\/(-20). Let p be (0\/2)\/(0 - 2). Let w = p - l. Let m(v) = -5*v - 8. Let i(x) = -4*x - 7. Give w*m(q) + 6*i(q).\nAnswer: q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Express -82*r + 248*r - 76*r + 26 - 87*r in the form o + s*r and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let i(o) = -26277*o - 1944456. Determine i(-74).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let k(a) = 2*a - 1. Suppose 3 = 3*f - 12. Let b(n) = f + 0 + n - 4. Let i be b(1). Give k(i).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 73 - 45. Let o(n) = 2*n**2 - 2*n. Let a be o(2). Calculate the highest common divisor of a and q.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1\/5, 8, -0.3, -2\/5, -364\/9, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let d(a) = -5*a - 1. Let o(p) = 6*p + 1. Let c(s) = 5*d(s) + 4*o(s). Let x(g) = 76*g + 95. Let t(n) = 95*c(n) + x(n). Let k(h) = 0 + 0 + h. Determine k(t(b)).\nAnswer: -19*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 75 - da?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -6708.001336873 + -0.01?\nAnswer: -6708.011336873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Does 73 divide 1844063950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Factor -12*k**2 - 562*k + 94.\nAnswer: -2*(k + 47)*(6*k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 5940, 11883, 17826?\nAnswer: 23769","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let i = -57 - -165. What is the smallest common multiple of 20 and i?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -61416*w**4 - 796*w - 624052807?\nAnswer: -245664*w**3 - 796","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let x = -6.3 + 203.3. Let f = -196 + x. Which is smaller: 3\/22 or f?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 34*h - 27*h - 168. Suppose 7*s - 5*s - 2*v = 0, 3*v = -3*s - h. Let a = -1 - -6. Sort s, a, 1, -3 in descending order.\nAnswer: a, 1, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(b) be the second derivative of 5*b**3 + 33*b**2\/2 + b. Let i(o) = o + 1. Let d(x) = 2*g(x) - 66*i(x). Let v(r) = 2*r**2. Give d(v(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is the millions digit of 3369822?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Does 16 divide 14560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 70981660 and 535.\nAnswer: 535","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 1 + 187*b - 1 - 185*b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (v**(-11)*v)**29*(v**(-5\/2)*v)\/v**(-37) assuming v is positive.\nAnswer: v**(-509\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((0 + -1 + sqrt(17))**2 - ((sqrt(170)\/sqrt(5) - sqrt(34) - sqrt(34))\/sqrt(2) + sqrt(17))**2) + -1.\nAnswer: -2*sqrt(17) + 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i = 1373 - 165. Suppose 7*z = -i - 1788. Let f = 658 + z. What is the greatest common factor of 46 and f?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 15 times -15945191?\nAnswer: -239177865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Sort -1, 1, -2, 8 in decreasing order.\nAnswer: 8, 1, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is 2043 (base 5) in base 9?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((d*d**(-2\/5)\/d*d*d*d*d*d*d**15)**50)**17)**(40\/3) assuming d is positive.\nAnswer: d**(666400\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*i**3 + 2094*i - 20*i**3 + 16*i**3 + 1140*i**2 - 412*i**2 - 35218*i = 0. Calculate i.\nAnswer: 0, 91","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1600 is divided by 399?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 6*10\/(-75)*(-5)\/(-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let p = -2 - -8. Let d be p\/(-24)*0\/2. Solve -7*u + 4*q = -4*u + 23, d = -5*u + q - 10 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 878 + -7?\nAnswer: 871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let z = -12 - -12. Let f = z + 5. Suppose -s + 25 = f*y - 3*y, -2*y - 26 = -2*s. What are the prime factors of s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(v) = 46*v - 15. Let b be s(-3). Let k = b - -157. Let q(c) be the second derivative of -c**4\/6 + 7*c**3\/6 - 3*c**2 - 4*c. Determine q(k).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(v) = v**3 + v - 2. Let p be t(0). Let z be (-444)\/(-10) + p\/5. Suppose 4*a = 28 + z. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -18 times 0.0855?\nAnswer: -1.539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Put -2, -54, 1, -16, 5, -8, 2 in decreasing order.\nAnswer: 5, 2, 1, -2, -8, -16, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Solve -1571*w + 21 = -1578*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Is 15 a factor of 402068967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve 464 = 13*m + 139 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve -r + 271 = -3*h + 268, h = 3*r - 25 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, 997, -13 in ascending order.\nAnswer: -13, 1, 997","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Which is the smallest value? (a) 5.4 (b) -4 (c) 5 (d) 1\/10 (e) -0.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let l(t) = t + 6. Let a be l(-4). Suppose 0 = 4*y + 7 - 67. Suppose -5*h + y = -a*n - 1, 2*h = 5*n - 2. Sort -1\/6, -3, h in ascending order.\nAnswer: -3, -1\/6, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 14.99061051 rounded to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 17\/54 and 109\/105768?\nAnswer: 317304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 5*k - 5*i - 50, k + i + 2*i + 2 = 0. Solve -2 + k = -s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*g = 2*f - 8, 5 + 1 = g - 5*f for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of 9250234, 18500477, 27750718, 37000957?\n\"Answer: -x**2 + 9250246*x - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Do -3739\/38 and -98 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 140 and 640.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let f = -8084 + 8085. Is f less than 3461\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 19514 divided by 659?\nAnswer: 19514\/659","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 n, 1 u, and 1 w when three letters picked without replacement from {u: 9, k: 2, w: 1, n: 1}?\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Expand -d + 2*d**2 + d + (3 - 5 + 3)*(d**2 + d**2 + 0*d**2) + 4*d**2 - 5*d**2 + 3*d**2 + 2*d**2 - 2*d**2 - 2*d**2 - 5*d**2 - 526 + 266 + 265.\nAnswer: -d**2 + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Evaluate -8 + (3 - (-3 - -7 - -7)) + 10.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 830?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -40, -30, -14, 8, 36, 70, 110?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((t\/t**(-1\/4))\/t)**(-20))**(5\/16) assuming t is positive.\nAnswer: t**(-25\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose -426*m + 435*m = 10026. What are the prime factors of m?\nAnswer: 2, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -9596, -19506, -29720, -40238?\n\"Answer: -152*q**2 - 9454*q + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 20\/(-6)*526008\/(-620)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 6, what is 52115 + 20?\nAnswer: 52135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the product of -2 and -2.6986?\nAnswer: 5.3972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1582*m**2 - 6 + 1582*m**2 - 2*m**3 + 10*m**4)*(6*m - 3*m + 0*m).\nAnswer: 30*m**5 - 6*m**4 - 18*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: How many grams are there in 740.7625ng?\nAnswer: 0.0000007407625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -64, -59, -50, -37, -20?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*z = 2*m - 176 - 8, 5*z + 5*m = 190. What is the smallest common multiple of z and 6?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 2150003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let h be (-5)\/6 + (-3345)\/(-4230). Let y = -174\/329 + h. Suppose -5*k + 15 = -5*o, -5*k - 12 - 23 = 5*o. Which is the smallest value? (a) y (b) k (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(d) = d**2 + 632*d + 29104. What is m(-50)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 12*j + 21 - 69. Suppose 22 = j*x + 6. Solve 0 = x*a - 8 - 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1337615 is divided by 56.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -0.000284773 rounded to five decimal places?\nAnswer: -0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is next in 516, 1066, 1618, 2172?\nAnswer: 2728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of (110\/(-35))\/((6\/(-126))\/((-10)\/1350)) and -131\/1872.\nAnswer: 9360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the nearest to 84? (a) 1 (b) -2\/5 (c) -34 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 490 minutes after 4:30 AM?\nAnswer: 12:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) be the first derivative of -1\/3*i**6 + 0*i + 0*i**2 - 6\/5*i**5 - 2\/3*i**3 - 3\/2*i**4 - 32. Factor a(v).\nAnswer: -2*v**2*(v + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = -2324 + 44808. List the prime factors of r.\nAnswer: 2, 13, 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -6 - -12. Let n = c - -42. Calculate the remainder when n is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(q) = 121*q + 17. Let p(d) = 82*d + 1. Determine j(p(i)).\nAnswer: 9922*i + 138","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let s = 2332 - 310. Is s a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -2 + 125?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 507 + 525 - 4189*l**2 - 2078 + 523 + 523.\nAnswer: -4189*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let v(m) = m**3 - 19*m**2 - m - 37. Is v(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b = -171 - -262. Let a = b - 96. What is the closest to 0 in 0, -2, a?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 0, 2, 0, -6, -16, -30?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from ddnndnnndnn.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Put -117, -5, 4, 6, 11, 3 in increasing order.\nAnswer: -117, -5, 3, 4, 6, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the third derivative of 463*m**3*p**2 + 9606*m**3*p - m**3 + 24091*m**2*p + 4*p**2 wrt m?\nAnswer: 2778*p**2 + 57636*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Simplify 5 + sqrt(153)\/(sqrt(36)\/(sqrt(16)\/sqrt(4))) + 0.\nAnswer: sqrt(17) + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the qth term of -61, -42, 3, 86, 219?\n\"Answer: 2*q**3 + q**2 + 2*q - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Is 509966976 a multiple of 128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is next in -182954, -365258, -547562, -729866, -912170, -1094474?\nAnswer: -1276778","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Put together 113 and -268450189.\nAnswer: -268450076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let p(b) = b**2 + b + 187. Is p(0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 41*b + 90 + 15 = -18 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 252316?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {o: 1, p: 4, v: 3, a: 2}. Give prob of sequence vvpp.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Convert 8.719362ml to litres.\nAnswer: 0.008719362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Simplify (a**(-7)\/(a\/(a**(-2\/77)*a)))\/(a**6*(a*a\/a**(-6\/11))\/a) assuming a is positive.\nAnswer: a**(-102\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let d = -1667\/5 - -333. Let g(q) = -2*q**3 + 2*q**2 + 2*q. Let h be g(2). Let b = 6 + h. Which is greater: b or d?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u be 110\/144 + 3*(-19)\/76. Which is the third smallest value? (a) -1.5 (b) u (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate ((-3)\/297*6)\/((-19)\/285).\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from {w: 3, h: 8}.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose -600 = -23*w + 19*w. Suppose -y = -6*y + w. Solve -c - 4*c = 2*r + y, 2*c - 4*r = 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -d**2 - 3*d**2 + 6*d**5 + d**5 + 0*d**2 wrt d.\nAnswer: 420*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be ((-5)\/(-15))\/((-9)\/27). Is s*(-41948)\/(-4)*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 6911890327 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Put 6\/35, -19\/4, 6\/5 in increasing order.\nAnswer: -19\/4, 6\/35, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let w = 2704 + -2367. List the prime factors of w.\nAnswer: 337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s(d) = -11*d**3 + 7*d**2 + 8. Let a be s(-5). Let t be (-2)\/3*-1 + 8935\/(-15). Let c = a - t. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 499837 is divided by 320.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Solve 37 - 26 = 11*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: How many kilograms are there in 61\/4 of a tonne?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let x(a) = 2*a. Let r(c) = -6*c + 0*c + 13*c - 5*c. Determine x(r(t)).\nAnswer: 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand -a - a**2 + a + (-a**2 - a**2 + 0*a**2)*(0 - 1 + 3) - 3*a**2 + 3*a**2 + a**2 + (3*a + 3*a**2 - 3*a)*(0 + 0 + 4) - 4*a + 2*a**2 + 4*a.\nAnswer: 10*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 20 and 190?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let p(m) = 2*m**2. Let t be 2\/(-3) + (-1455)\/45. Let s be (-4)\/20 - t\/15. Let b(c) = -s*c + c - 4*c. Give b(p(w)).\nAnswer: -10*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is -19781915 rounded to the nearest one hundred thousand?\nAnswer: -19800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*l = 3*z - 4*z - 11, l = 3*z + 11. Let y = 6 - 3. Let g be l\/y - (-2)\/6. Are g and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (3*g + 2*g**3 - 3*g)*(0 - 2*g + 0) + 0*g**4 + 4*g**4 - 3*g**4 + 0*g**4 - g**4 + 2*g**4 + (63*g**2 - 106*g**2 + 105*g**2)*(3*g**2 + 3*g**2 - 5*g**2).\nAnswer: 60*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the hundred millions digit of 560965813?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let w = 3.698 + -3.498. Let d = 4 - 15. What is the nearest to -1 in 2, w, d?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {k: 6, w: 7, q: 1, h: 3, e: 2}. What is prob of sequence wwkq?\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let w be 5\/10 - (-13)\/2. Suppose 3*i + w = k, -2*k - i - 13 = -5*k. Factor -6*p**k - 3*p**4 - 15*p**3 + 6*p**2 - p**4 - 11*p**4.\nAnswer: -3*p**2*(p + 1)*(7*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is -1ab + -344?\nAnswer: -4ef","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let q = -132.258 + 0.258. Let t = q + 132.1. Which is the second biggest value? (a) 3\/7 (b) t (c) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor -30*k**3 + 176*k**2\/3 + 8*k\/3.\nAnswer: -2*k*(k - 2)*(45*k + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is the cube root of 73780 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 12043978.\nAnswer: 2, 73, 82493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let q = 915 - 3633\/4. What is the common denominator of -109\/10 and q?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 1538363, 3076725, 4615093, 6153473, 7691871, 9230293, 10768745, 12307233?\n\"Answer: a**3 - 3*a**2 + 1538364*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is -110056000 rounded to the nearest 1000000?\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Let f(d) = -396*d**3 - 16*d**2 + 16*d + 551. Let v(l) = -2*l**2 + 2*l - 1. Let q(h) = f(h) - 8*v(h). Differentiate q(z) with respect to z.\nAnswer: -1188*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 22*c**3 - 61*c**3 + 29*c**3.\nAnswer: -10*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let d = 2 - 2.5. Let o = 2.8 + 0.2. What is the nearest to 2\/3 in o, d, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 1243 is divided by 964.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of ((-1719)\/15)\/(12*17\/(-36040)).\nAnswer: 2, 53, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*n + 2*s = -15, 2*n - 2*s - 1 = 5. Let u = -1012 - -1015. Let v(d) = -2*d**n + d + d**3 + 2 + u*d**2 - 10*d**3 + 12*d**3. Give v(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(h) be the second derivative of h**4\/2 - h**3\/6 - 43*h**2\/2 + 23*h. Is j(-14) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 65? (a) -0.08 (b) -3\/2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 17867 is divided by 303.\nAnswer: 293","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Put 2\/121, -0.71, 5, 3 in descending order.\nAnswer: 5, 3, 2\/121, -0.71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 6*q - 972 - 480. Let i = q + -2180\/9. Which is the closest to -1? (a) 0.5 (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Evaluate ((-34)\/(-85))\/(22\/10).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 366915 is divided by 4880.\nAnswer: 915","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*l**2 - 2*l**5 - 15*l**4 - l**3 + 15*l**4 + (0*l**3 + 2*l**3 - 4*l**3)*(2*l**2 + l - l) + l**5 - l**5 + l**5.\nAnswer: -5*l**5 - l**3 - 2*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is (4\/(16\/4))\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b be (-1)\/(2\/(-8)*40\/30). Calculate the highest common factor of b and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 7*h**3 - 28*h - 58*h**2 - 3*h - 20*h + 5 + 50*h to the form r*h + y*h**3 + a + l*h**2 and give y.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -96253, -192546, -288843, -385144, -481449?\n\"Answer: -2*y**2 - 96287*y + 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Factor -x**3 - 27*x**2 - 206*x - 480.\nAnswer: -(x + 5)*(x + 6)*(x + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let m = 4 + -9. Let x(o) = -o - 5*o**3 + 4*o**3 - 5*o**2 - 6 + 1 - 1. Let y be x(m). Is y < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 8 a factor of (-2 + 2\/(-3))\/(6\/(-108))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 4236 (base 13) to base 16.\nAnswer: 23d3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 2? (a) 6072 (b) -0.08 (c) -0.75 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -110100110111000101011110111 + 11?\nAnswer: -110100110111000101011110100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let x = 0.097623 - 0.187623. Let a = 0.4 + -3.4. Put a, 4, x, -1 in ascending order.\nAnswer: a, -1, x, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -1\/623 and 71\/801.\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s + 12*m - 11*m = 4009, 3004 = 3*s - 2*m. Suppose -8*q + s = -5150. Is q a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -16, 97, -2.\nAnswer: -16, -2, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-1 - -12) + 2 - (-59 + 68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 204 and 320004?\nAnswer: 5440068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*a**3 - 2379*a**2 + 472824*a - 470448 = 0 for a.\nAnswer: 1, 396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {z: 1, t: 7, i: 1}. Give prob of sequence tttz.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 4*s**2 - 3 + 33*s**2 - 190*s**2 + 4 + 52*s**2 - 9*s**2.\nAnswer: -110*s**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 6*l**3 - 335280*l**2 - 5*l + 335280*l**2 + 5*l.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is 631 plus 0.5?\nAnswer: 631.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6126287 is divided by 6126271?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is -47894 + -0.9?\nAnswer: -47894.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the uth term of -43, -3, 63, 155, 273, 417, 587?\n\"Answer: 13*u**2 + u - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 59526 + -6.10505384.\nAnswer: 59519.89494616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let m = 725 - 725.0000449. Round m to 5 decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*s - 31 - 21 = 0. Let j = s - 8. Solve 37 = -3*g - j*a, -5*g - 46 = 2*a - 16 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -1.1926976048 rounded to 4 decimal places?\nAnswer: -1.1927","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Round -18.3018518 to zero dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Suppose -44*n + 62 + 118 = -8*n. Solve -5*l = 3*d - l - 6, 2*l + 4 = -n*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Put 2.1, 2134, 1\/4, -1\/12, 4 in increasing order.\nAnswer: -1\/12, 1\/4, 2.1, 4, 2134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Is 3587669 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c - 626 = 94*q - 150, 4*c + 10 + 3 = 38*q - 39*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 6 + 82\/16 + -11 + (-67959)\/(-8) is divided by 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*c + 19*z + 573 = 0, 488293*c = 488298*c + 4*z + 104 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*t - 6 = 4*g, 2*g + 3*g = -4*t - 1. Let w be 1 + g - -1*7. Suppose w*f = 9*f - 6. Is 2\/5 smaller than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(n) = 62*n + 1. Let i(v) = v**2 + 25*v + 83. Let j be i(-4). What is a(j)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {b: 11, t: 2}. What is prob of picking 2 b?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 62460.\nAnswer: 2, 3, 5, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Sort 0, -7, -9285, 8.\nAnswer: -9285, -7, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.18209 times 0.3?\nAnswer: -0.054627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = 41*l**2 + 30*l + 51. Let z(n) = 113*n**2 + 90*n + 154. What is -11*x(w) + 4*z(w)?\nAnswer: w**2 + 30*w + 55","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-2*sqrt(102)*-6)\/(sqrt(6) + (sqrt(6) - sqrt(486)*-1)))**2.\nAnswer: 2448\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -7*n**2 - 7*n**2 - 12*n**2 + 27*n**2 - 14*n**2.\nAnswer: -13*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*g**2 - 30441*g - 152130 = 0 for g.\nAnswer: -10142, -5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -2*f + f + 65. Suppose 0 = 4*j + j - f. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort -192732, 12, 0.3 in increasing order.\nAnswer: -192732, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (25938\/(-2882))\/((-3)\/(-1))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest common multiple of 2339334 and 1728?\nAnswer: 74858688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let n(p) = -285*p + 25. Let a be n(-6). Suppose -m - a = -6*m. Differentiate m - 316 + 3*l**3 + 6*l**3 with respect to l.\nAnswer: 27*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 0.237 + 0.018. Let l = n - -0.045. Which is the nearest to -3\/2? (a) -0.01 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the cth term of 2514, 5026, 7536, 10044, 12550?\n\"Answer: -c**2 + 2515*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is ((1\/(-1))\/1)\/((-26)\/(2184\/154))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Work out 55.33 + 0.03360957.\nAnswer: 55.36360957","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 66 and 1164?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let c = -101.592 - -102. Let r = -0.102 - -0.01. Let w = c - r. What is the nearest to 1 in -0.5, 0.4, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Multiply 0.05491 and 17710.\nAnswer: 972.4561","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Suppose p + 6*r = 5*r + 5, -4*p + 4 = -4*r. Solve 2*y = y - p for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(a) = 11*a - 9. Let c be l(2). Let b be c - (2 + 0)*(-9)\/6. Suppose -138 = 10*f - b*f. Round f to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 33396 and 88?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let b(c) = 2*c + 3. Let l(y) = 5*y**3 - 2*y + 24. Calculate -b(h) - l(h).\nAnswer: -5*h**3 - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1347 is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let j(c) = 9*c**2 + 14*c - 21. Give j(7).\nAnswer: 518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: -261*-10940\nAnswer: 2855340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let g(z) = -2*z**3 + 9*z**2 + 5*z - 4. Let x(w) = w**2 + 0*w - 7*w + w - 2. Let i be x(6). Let f(j) = -j**3 + 4*j**2 + 2*j - 2. Determine i*g(p) + 5*f(p).\nAnswer: -p**3 + 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many decades are there in 6\/5 of a millennium?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -300423 + 2331?\nAnswer: -243042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -b**3 + b - 1. Let f(l) be the first derivative of -l**4\/4 + l**2 - l + 6. What is f(z) - 2*i(z)?\nAnswer: z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is 41527.2m in kilometers?\nAnswer: 41.5272","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let k(t) = t**2 - 3*t - 4. Let a be (-6)\/(-3 - 0 - -2). List the prime factors of k(a).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((r**0)**(4\/21)*r**3\/((r**5\/r)\/r))\/((r**(-1))**(-36)\/(r**(-1\/8)\/r**(2\/7))) assuming r is positive.\nAnswer: r**(-2039\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let m = -69 + 68. Does m = 1\/108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n = 65 - 52. Let a = 13 - n. Sort a, 5, 1\/3 in increasing order.\nAnswer: a, 1\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Round 3.940837637 to three dps.\nAnswer: 3.941","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence buv when three letters picked without replacement from uvbxfuxbfuuvxxuxvquu.\nAnswer: 7\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the yth term of -63897600, -127795196, -191692792, -255590388, -319487984, -383385580?\n\"Answer: -63897596*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, -99, -2, 2, -8 in ascending order.\nAnswer: -99, -8, -2, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 2 and 275923114?\nAnswer: 275923112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 3*b**4 - b**3 - 261*b**2 + 289*b - 1 wrt b.\nAnswer: 36*b**2 - 6*b - 522","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let 5*z**4 + 2875*z**3 + 462385*z**2 + 13951685*z + 75979050 = 0. Calculate z.\nAnswer: -269, -30, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of -21, -19, -7, 33, 119, 269, 501?\n\"Answer: 3*k**3 - 13*k**2 + 20*k - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from xbubuubwbpxfwux. Give prob of sequence pf.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express -w - 33 + 3*w**2 - 5 + 49 + w**3 - 98*w**4 - 12 in the form a*w**3 + l*w**2 + y + x*w**4 + q*w and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5 = -6*u + 67. Let j = u - 6. Let k(a) = -2*a + 5. What is k(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j be 280\/21*990\/(-4). What is j rounded to the nearest one hundred?\nAnswer: -3300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((i**24\/i*i*i*i)\/(i**12*i))**28 assuming i is positive.\nAnswer: i**364","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 2143 is divided by 122.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*x = 5*x - 27. Is 37 a factor of 856\/x + ((-31)\/3 - -9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the first derivative of -112346*c**4 + 62751 wrt c?\nAnswer: -449384*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let z = 0.12 + -0.52. Which is the third smallest value? (a) -0.3 (b) -13\/4 (c) z (d) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 22 divide 506?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Suppose -j + 6 = 2*j. Let c = j - -1. What is the highest common factor of c and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 185799.1m to kilometers.\nAnswer: 185.7991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Are -678327 and -678663 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -97 - -296?\nAnswer: 1cc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is -30 plus -714.0765613?\nAnswer: -744.0765613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*g = 19*g - 22*g - 56 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 41*l - 96 = 39*l. Does 16 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: -0.01 - 8.7040698\nAnswer: -8.7140698","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let j = 85.94 + 1.06. Let l = -86.02 + j. Round l to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 7623 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*y - 4*p = 38, -p + 1 - 6 = 0. Let v be y\/27 + 85\/3. Let l be (-1)\/((-2)\/v) - -1. Calculate the highest common divisor of l and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c = -8782 + 8788. Suppose -3*k - 4 = k - 4*b, k = 2*b - 6. Suppose s + k*s = 4*u + 13, 0 = -3*u - 3*s + 24. Solve u*t = c*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -26*l**2 + 21 + 26*l**2 + 10*l**3 + 34*l**3 - 45*l**3.\nAnswer: -l**3 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = -106*t + 534. Let c be w(5). Let d(i) be the first derivative of 9 + 0*i - 6\/7*i**3 + 6\/7*i**c - 2\/7*i**5 + 2\/7*i**2. Determine n so that d(n) = 0.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 204242?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: What is -88 (base 9) in base 3?\nAnswer: -2222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the hundreds digit of 10566?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let v = 2383\/1626 + 28\/813. Put v, 3\/16, -10 in ascending order.\nAnswer: -10, 3\/16, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -12149125 + -3?\nAnswer: -12149128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (-10 - -4) + 4 + 6 - 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate (55\/165)\/(2\/(-2))*(0 + 42).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let f be (-1)\/(-7)*1 - 5550\/(-350). Suppose -2*c = 4*l - 18 - 6, -2*c = 2*l - f. Solve 3*a - 4*o = 2*a + c, -2*o = 4*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 16398245 is divided by 4099555?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose t + 4*t - 296157 = -4*v, 5*t = -5*v + 296155. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 16, what is 3 - -e9fd632?\nAnswer: e9fd635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 18\/5 or -50445?\nAnswer: -50445","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Let l = -47.36 - -48. Let k = -0.24 + l. What is the nearest to -1.5 in 0.1, k, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((2*(sqrt(363) + 1) - 2*sqrt(363)*3) + 3)**2.\nAnswer: -440*sqrt(3) + 5833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -13 - (-9 - ((-30 - 4) + 8 + -5))\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Expand (5 - 1 - 2)*(-4 - x + 4) - 3*x + 310 - 153 - 85 + 3*x - x - 3*x + (1 - 1 - 2*x)*(0 + 0 + 2).\nAnswer: -10*x + 72","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 106\/95 + (-128)\/160?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*w**5 + 113037*w**4 + 565068*w**3 - 1582308*w**2 = 0.\nAnswer: -37674, -7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 10:18 PM and 3:01 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*r - 5*z - 9 + 42 + 32, -28*r - 2*z = -156 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 19000 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate (2\/1)\/8*(-24)\/(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -7\/72 and -45\/2.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let g = -47 + 54. Let w = -13.02 + 0.02. Let n = 12.7 + w. Which is the closest to 1\/3? (a) g (b) n (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = -270\/13 - -5139\/208. Let w be (-28)\/182 - 1868\/26. Find the common denominator of 2 - 1\/(w\/(-273)) - -3 and q.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the least common multiple of 659190 and 126?\nAnswer: 1977570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Suppose 234 = 7*m + 17. Suppose 3*y - 49 = -m. Is y a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 15, what is -be9 - 6e?\nAnswer: -c68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let t(j) = -2*j. Let m(u) = -199915225*u. What is m(t(c))?\nAnswer: 399830450*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let x(l) = -l + 14. Let c be x(10). Let j be c\/(-32)*4*(0 - 0). Which is greater: -2\/317 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 274719 is divided by 3821.\nAnswer: 3428","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((y**1\/y)\/(y\/(y\/y**(2\/5))))**15*(y**2\/y*y)**(4\/27)\/(y\/(y*y*y**2*y*y*y))**(-3) assuming y is positive.\nAnswer: y**(-640\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: What is the thousands digit of 29135852?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = 7*n - 21. Let t(b) = -7657204 - 10*b + 7657204. Calculate t(s(q)).\nAnswer: -70*q + 210","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 6981847?\nAnswer: 6981847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 66912 and 6256.\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 76793 is divided by 100.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let p(z) = -48*z. Suppose 0 = 5*t + 3*d - 0*d + 26, -5*t - 22 = d. What is the tens digit of p(t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = 15*c**3 + 11*c**2 - 11*c - 6. Let r(x) = 8*x**3 + 6*x**2 - 6*x - 3. What is 11*r(w) - 6*t(w)?\nAnswer: -2*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Is 77 a factor of 59906?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the ten thousands digit of 59783979?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let i = -35199 + 35196. Is -77\/23 != i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(209) + sqrt(209) + sqrt(209)*1*-1)\/((-2*sqrt(110))\/sqrt(10)))**2.\nAnswer: 171\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let i(s) = -14*s + 80. Let o(w) = -9*w + 50. Let n(m) = 5*i(m) - 8*o(m). Let a(p) = -5*p**2 - 7*p. Determine a(n(h)).\nAnswer: -20*h**2 - 14*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence op when two letters picked without replacement from {p: 1, o: 1, q: 1, r: 2}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 2\/3 in -0.17, 4, -5, -2339?\nAnswer: -0.17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 140.21 less than 0.0769856?\nAnswer: -140.1330144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 51 and 278358.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence qdd when three letters picked without replacement from {q: 4, d: 2}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 11:53 AM and 11:59 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in -5, 18980\/19, -0.5, -3, 0.7, -2\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: -8 or 0?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Solve -2*r + 3*h = h + 8, 8 = r + 5*h for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let v(d) = d - 3. Let n(q) = -2*q + 5. Let w(r) = -4*n(r) - 9*v(r). Let f be w(5). Suppose 3*o - 4 = f. Solve -3*p - 1 = -2*b - 0, -14 = o*p - 4*b for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -4 (b) -9 (c) -2\/25 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 18750, 37502, 56256, 75012, 93770, 112530?\nAnswer: 131292","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (3 + j**3 - 3)*(-2*j - j + 2*j) - 151*j**2 + 233*j**2 - 41*j**4 + 558*j**4 - 80*j**2 to the form v*j + f*j**3 + g*j**4 + s*j**2 + b and give g.\nAnswer: 516","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -12, -2 in ascending order.\nAnswer: -12, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let g = -778 - -1171. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 109644149?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose -577 - 158 = -7*y. What are the prime factors of -28*(y\/(-5))\/1?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify -2 + -2*sqrt(252)\/(sqrt(4) + sqrt(12)\/sqrt(3))*-3.\nAnswer: -2 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*v - 6*j + 15 = -3*j, 0 = 5*v - 4*j + 27 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 16 + 86*v**2 + 2 + 30 - 47 - v**3 - 3*v**4 to n*v**2 + g*v**3 + h*v**4 + l*v + c and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: What comes next: -58280, -54677, -48674, -40271, -29468, -16265, -662?\nAnswer: 17341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is -3 + -1452631155?\nAnswer: -1452631161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Solve q = -k + 38, 6*q - 11*q + 2*k = -162 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Calculate the smallest common multiple of 108 and 126.\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {r: 1, o: 1, h: 1, t: 1, w: 1}. Give prob of picking 1 w and 1 h.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 1:49 PM and 9:25 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let n = 82 + -82. Suppose 14*m - 5516 - 12866 = n. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (4*u + 0*u - 3*u)*(3*u - 3*u + u) + (-5*u - 3*u - u)*(2*u - 2*u + 2*u).\nAnswer: -17*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) = 7*d**4 - 2*d + 1. Let q(h) = 21*h**4 - 7*h + 4. Let y(x) = -2*q(x) + 7*t(x). What is the derivative of y(n) wrt n?\nAnswer: 28*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 236*f**3 + 136*f**3 + 225*f**3 - 277 - 595*f**3.\nAnswer: 2*f**3 - 277","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*h - 12 = -t - 0*h, -5*h - 19 = 3*t. Solve 5*c = -5*q - 35, -c - 12 = t*c for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3\/2*q**3 + 0*q**2 + 0*q + 0.\nAnswer: 3*q**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let f = -0.523 + 0.5226515. What is f rounded to 5 decimal places?\nAnswer: -0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-3 + (-15)\/(-6))*-8. Let q be (-6)\/a + 3\/(-6). Let m(l) = -7*l + 1. Is 5 a factor of m(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of 75\/22448 and -11\/4.\nAnswer: 22448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Calculate 12 divided by -4962935.\nAnswer: -12\/4962935","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Evaluate 101\/(-5) - (-57)\/(-95) - 2\/10.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = j + 8 - 12, 3*y - 4*j = 25367. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of 94*i**5 + 2*i**4 + 785*i?\nAnswer: 1880*i**3 + 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Is 6333 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kajddscjacdjdj. What is prob of picking 1 k and 1 s?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = 4*i**2 - 4*i - 12. Let m be a(-8). Suppose 83 = 4*t + 4*j - 281, 2*j = -3*t + m. Let p = t + 2. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Does 20 divide 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: In base 3, what is -2 - 1110?\nAnswer: -1112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(54)\/(-1*sqrt(2)))\/(2*sqrt(9)*-5) - (6*sqrt(84))\/(sqrt(7) - (sqrt(567) + sqrt(567)*2 + sqrt(7))).\nAnswer: 49*sqrt(3)\/90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: 3\/(((-15)\/(-25))\/((-6)\/285))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let g = 723 + -341. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) be the third derivative of h**6\/180 + h**5\/60 + h**4\/12 + 74*h**3\/3 - 106*h**2. Let t(n) be the first derivative of l(n). Determine t(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 471 a factor of 9833814?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Is -370542 >= -370545?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Express (-1 - 3 + 1)*(-2 + 9 + 2*i**2 - i - 4) in the form u*i**2 + p*i + h and give p.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose -33*a = -24*a - 5661. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: 58 divided by 2030\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 133445898?\nAnswer: 2, 3, 41, 73, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let t(i) = 19*i**3 - 5*i**2 - 5*i - 5. Let k(x) be the third derivative of 3*x**6\/40 - x**5\/30 - x**4\/12 - x**3\/3 - 10*x**2 + 7*x. Determine 5*k(v) - 2*t(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = 312*t**2 + 3*t + 10. What are the prime factors of u(-2)?\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.17 - -0.73. Let b = s - 0.89997. What is b rounded to five decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert 5.823235cm to kilometers.\nAnswer: 0.00005823235","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Is 645 a factor of 9819348?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2*((-36)\/(-6)*-1)\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let b(t) = 41 + 23 - 113 - t + 46. Let z = 20 - 20. Calculate b(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify m*m**(-7)*m*m*m**(-4) assuming m is positive.\nAnswer: m**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*w**2 + 14*w - 14*w - 4*w**2 + 5*w**2 - 2*w - 6 + w + (2 + 3 - 2)*(0*w**2 + 0*w**2 + 2*w**2).\nAnswer: 5*w**2 - w - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Is 313\/(4\/6924*3*(1 - 0)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 12097 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 ((-166 + 936)\/154)\/((-15)\/294 - 0).\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve -15*i + 4*k - 36 = 0, 88*i - 27 = 93*i - 3*k for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Convert 44288.03 nanometers to micrometers.\nAnswer: 44.28803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 0 + 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let s = 0.12 - -0.18. Let d = 1.7 + s. Which is the closest to d? (a) -0.2 (b) -2 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (-216)\/(-84)*62\/124.\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-3*(sqrt(20)\/(sqrt(32)\/sqrt(8)) + sqrt(5)))**2 + 1.\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q be 175\/100 - (-12)\/32*-18. Let g(w) be the second derivative of -3*w**5\/20 - w**3\/2 + w**2\/2 + 4*w. Let c(b) = -b**3 - b. What is q*c(m) + g(m)?\nAnswer: 2*m**3 + 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Solve 2*g + 3 = -5*r - 6, -5*r - 5*g = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-5 + 1 + sqrt(13) + -1 + 1 + 3*(-1 + sqrt(39)\/sqrt(3) + sqrt(13))*2)**2.\nAnswer: -260*sqrt(13) + 2297","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let n(l) = -3*l - 20. Suppose 3*j - 60 = 15*j. Let c(x) = -3*x - 21. Let d(w) = j*c(w) + 6*n(w). Let u be d(-5). Sort 1, u, -4 in ascending order.\nAnswer: -4, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Work out 0.1 * 25.568.\nAnswer: 2.5568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Which is the fifth smallest value? (a) 5\/19 (b) -4 (c) 9\/2 (d) 0.01 (e) 0.4 (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -2*g - 20, -z + 7*g - 41 = 4*g + 7*g for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 26 is divided by ((-12)\/9)\/((-3)\/9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(u) = -u**2 - 8*u + 50. Let f be z(29). Let x = 2558 + f. List the prime factors of x.\nAnswer: 5, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*h - 18 - 18 = 0. Let x be (4\/12)\/(((-6)\/h)\/(-2)). Is x greater than -7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -2 in 2\/3, -23, 0.3, -0.2, 0.03487?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*r = 4*s - 440, -5*r + 91 + 431 = -2*s. Let i = -93 + r. Suppose 0 = i*w - 153 - 510. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0*x - 2 = -x - o, 2*x - 5*o = -3. Let h be (-34)\/(-9) - ((-170)\/(-45) + -4). Which is the nearest to -2? (a) h (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate (14042\/288864)\/(28\/16).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence oggg when four letters picked without replacement from gboombgoobbgmbb?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Express (-15 + 15 + 6*m**2)*(3 - 4 + 0 - 2*m) as s*m + y*m**3 + l + g*m**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let -2*l**2 - 6000*l - 4500000 = 0. Calculate l.\nAnswer: -1500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*(sqrt(448) + -1 - sqrt(448)) + sqrt(448) + sqrt(448))**2 + ((-2*-2*sqrt(112))**2 - sqrt(112)) + sqrt(112) + sqrt(112).\nAnswer: 36*sqrt(7) + 3585","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let c(g) = -5*g. Calculate c(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is two sevenths of a week in days?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose h + h = -3*d - 4, 2*d + 8 = -4*h. Put d, -3, 5 in ascending order.\nAnswer: -3, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 40831 and 14819504?\nAnswer: 2149","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2075.\nAnswer: 5, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Simplify -3 + (-2*(sqrt(130) - 2*sqrt(130))*-2)\/(-1*sqrt(40)\/(-1*sqrt(4))) + -1.\nAnswer: -4*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: -2835 divided by -7\nAnswer: 405","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the third smallest value in 1118, -0.3, -2\/9, 3\/4, 5?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 5451001 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Express -9*i + 32*i - 4*i + 24*i in the form w*i + f and give w.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let k(g) = 0*g - g**2 + 0*g - 5 - g - 2*g - 2*g. Let q = 95 - 100. Let m(d) = -2*d**2 - 7*d - 7. Calculate q*m(a) + 7*k(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 105314 divided by 50\nAnswer: 52657\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Convert 3.53141um to millimeters.\nAnswer: 0.00353141","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let v = 42 + -23. Let p = -19.6851 - -20.1851. What is the nearest to v in p, 2\/17, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 1232 and -0.02?\nAnswer: -24.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 4:54 AM and 3:04 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Let u = 13.2 - 22.9. Let x = u - -14.7. Which is the nearest to 2? (a) 7 (b) -0.3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1057345 is divided by 245?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Suppose -2*o + 12*p = 14*p, 5*o + 2*p - 12 = 0. Solve -2*i + o = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 53700 is divided by 4757.\nAnswer: 1373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 156, 310, 464, 618, 772, 926?\nAnswer: 1080","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Let h = -10219.09569 - -10219. Round h to three dps.\nAnswer: -0.096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is ((-20)\/(-8))\/5 + 2\/(-20)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let -9*g**4\/8 - 11*g**3\/8 + 295*g**2\/8 - 501*g\/8 - 63\/4 = 0. What is g?\nAnswer: -7, -2\/9, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Does 72 divide 84634776?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let r be (-8)\/(-5) - 4\/(-10). Find the second derivative of -3*p**4 + 5*p**2 - 2*p**r - 3*p**2 - 2*p wrt p.\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -446*i = 533*i + 125*i - 39744 for i.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Solve 258*r + 12103 = 8749 for r.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let b = 104 - 104. Solve -j + b*j = -2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate 386\/322 - 4239\/3297.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Solve 4*w = -a - 18, 0 = -3*w - 5*a + 7 - 29 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: What is the value of ((0*4\/32)\/4)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is 83b00b0 - -2?\nAnswer: 83b00b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = q - 2*y - 2463, 5*y + 768 - 13068 = -5*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Find the first derivative of 16*d**3*i + 2*d**3 - 2824*d**2*i**2 + 48*d*i**2 - 10640*d - 48 wrt i.\nAnswer: 16*d**3 - 5648*d**2*i + 96*d*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Let i(b) = -10*b + 4. Calculate the lowest common multiple of 27\/(-9) + 44\/20 - 164\/(-5) and i(-4).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of picking 1 s and 1 c when two letters picked without replacement from {c: 2, s: 1, n: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let r = -7637074.29 + -139523.71. Let s = 7776680.00126 + r. Let z = -82 + s. What is z rounded to four decimal places?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve 3*k = 23*w - 21*w - 5, -5*w - 4 = -2*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: How many months are there in one quarter of a decade?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -35\/344 and -49\/208.\nAnswer: 8944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Solve 131*p - 180 = 86*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let c be (-16 + 2)\/(-2)*-1. Suppose -5*h + 2*h = -5*t - 47, 0 = 2*h - 4*t - 34. Let r = c + h. Solve 4*u + k - 11 - r = 0, -2*u + 5*k - 21 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: 0.3 * 87607.9\nAnswer: 26282.37","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate -1548342 divided by 1431.\nAnswer: -1082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Solve 0 = -5*b + 2*c + 12 + 13, -23 = -b + 4*c for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -u - 2 = 5*n, 118 = u + 4*n + 119. Sort u, 10, -85.\nAnswer: -85, u, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 2*q - 330 = -3*q. Suppose -t = 3*t + 136. Let j = t + q. Does 12 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -3*c + 6*c - 8 = c, 44*q = 86*q - 46*q + 3*c - 20 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Is 6630 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Solve -1251*q = -683 + 35711 for q.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let s = 26 + -19. Solve -2*w - 5*j - 19 = 0, -4*w - w + j - s = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let j(k) = -67*k + 185. Calculate j(3).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let s be -4 + 0 - (-1 + 2). Let x = -5 - s. Let t = -147\/212 + -3\/53. What is the smallest value in x, t, -0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of -8 + (-2 + -6 + 3 - -3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 3:41 AM and 2:51 PM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 5825926 is divided by 4268?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let h(v) = v**2 + 4*v + 1. Let z(u) = 1. Determine -h(m) + 4*z(m).\nAnswer: -m**2 - 4*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is the value of (4\/(-2))\/(68\/238)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let j(x) = 2025*x**2 - 13*x - 22774. Let o(y) = -809*y**2 + 5*y + 9110. Let d(m) = 5*j(m) + 13*o(m). What is the derivative of d(s) wrt s?\nAnswer: -784*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(i) = -i**3 + i + 189. Let y be n(0). Suppose -2*p = p - y. Let g = p + -38. What is the tens digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(k) be the first derivative of 160*k**3\/3 - 197*k - 175. Differentiate u(a) wrt a.\nAnswer: 320*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the common denominator of 87\/165156292 and 79\/5761266?\nAnswer: 495468876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to -0.2 in 1, 57, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: In base 5, what is -2 + 113143012?\nAnswer: 113143010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let v = -50\/21 - -8\/3. Let d(q) = -q. Let l(y) = y + 5. Let x be l(0). Let h be d(x). Which is the third smallest value? (a) h (b) 0.5 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(n) = n**5 + n**5 + 2*n - 4*n**3 - 2*n**4 + 8*n**2 - 6*n**4. Let v(w) = w**5 - w. Let p(x) = -k(x) + 4*v(x). Factor p(b).\nAnswer: 2*b*(b - 1)*(b + 1)**2*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*w - 2*w = -2*w. Suppose w = -29*g + 2140 - 139. What is the remainder when g is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.17537 plus 4?\nAnswer: 4.17537","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let y = -6 + 6. Suppose -4*c - 5*l - 1 = y, 4*l - 1 = -5*c - 0. What is the remainder when 3 is divided by c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -201 (base 5) to base 11.\nAnswer: -47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is next in -49, -61, -89, -139, -217?\nAnswer: -329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: In base 2, what is -10 - -1000110111?\nAnswer: 1000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Let j(z) be the second derivative of 87*z**4\/4 + 2*z**3\/3 - 3*z**2\/2 + 21*z. Let c(u) = -262*u**2 - 4*u + 3. Let v(t) = -3*c(t) - 2*j(t). Is v(1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let s be (-848)\/184 + -3*(-15)\/9. Let i = -53\/253 + s. Solve -10\/11*a - 10\/11*a**5 + i - 4\/11*a**2 + 2\/11*a**4 + 20\/11*a**3 = 0.\nAnswer: -1, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 32 - 5. Calculate the greatest common factor of 9 and h.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*p - 3*p + 3*p)*(0 + 11 - 1) + (-23*p + 18*p - 138*p)*(2 - 1 + 1).\nAnswer: -266*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: What is 116.304 millilitres in litres?\nAnswer: 0.116304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Let s = 117.6 - 14.6. Let i = 106 - s. Which is the nearest to 0.05? (a) 0.4 (b) i (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -0.2 - 0. Let p = 6.09 + -8.09. Which is the nearest to -2\/5? (a) t (b) p (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Round -5659.82 to the nearest 10.\nAnswer: -5660","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Simplify r**9\/r**3 assuming r is positive.\nAnswer: r**6","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the ath term of 45685951, 45685946, 45685939, 45685930, 45685919, 45685906, 45685891?\n\"Answer: -a**2 - 2*a + 45685954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: What is 176 minutes after 1:45 PM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Suppose 16*p - 96602 = -6*p. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.003085 rounded to 4 decimal places?\nAnswer: 0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is 387 minutes before 12:41 PM?\nAnswer: 6:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Find x, given that 8*x**5 - 1244*x**4 + 46556*x**3 + 96876*x**2 + 49068*x = 0.\nAnswer: -1, 0, 141\/2, 87","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let s(n) = n + 7. Let b be s(-3). Let d(k) = 30*k - 5. Is d(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 32409271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 840*g*m**2*z**2 - 3*g*m**2*z + 103*g*m*z**2 + 7*g*z**2 + 53*m**2*z**3 - 105*m*z**3 wrt m.\nAnswer: 1680*g*z**2 - 6*g*z + 106*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What comes next: 637, 678, 719, 760, 801?\nAnswer: 842","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Convert 36083.55 minutes to microseconds.\nAnswer: 2165013000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: What is -5786 (base 10) in base 11?\nAnswer: -4390","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Divide -53601638 by -2.\nAnswer: 26800819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 41 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((a**(2\/3)*a**6)\/(a**1\/a)**(-23\/2))**(-13) assuming a is positive.\nAnswer: a**(-260\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: In base 7, what is 103 + 61?\nAnswer: 164","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: -1.05 * 1.5\nAnswer: -1.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence gggg when four letters picked without replacement from {m: 10, g: 4}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -301 (b) -10 (c) 0 (d) -1\/23 (e) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Is 18 a factor of 45271366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let g = 46179 + -46181.22. Put -0.5, -2\/11, -2\/7, -2\/9, g in decreasing order.\nAnswer: -2\/11, -2\/9, -2\/7, -0.5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let d(t) = -8*t**2 - 813*t. Let z(l) = -2*l**2 - 271*l. What is 2*d(v) - 7*z(v)?\nAnswer: -2*v**2 + 271*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Suppose -i - 5*d + 4 = 0, -3*i + d + 32 = 36. Let p be 4\/(-26) + -1 + 1. Which is the nearest to 0? (a) i (b) p (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + (-6 - (-1 - 4)) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let x(j) = 179*j. Let b(w) = -963*w**2. Calculate b(x(l)).\nAnswer: -30855483*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: What is 592 minutes before 9:05 AM?\nAnswer: 11:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 23643869 is divided by 38697.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let t(d) be the first derivative of 9*d**2\/2 - 1. Let c(f) = -6408*f + 3202*f + 3207*f. What is t(c(b))?\nAnswer: 9*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Expand (2*f**2 + f**3 - 2*f**2)*(32*f + 28*f - 200*f + (-7*f + 2*f + 3*f)*(5 - 2 - 2)).\nAnswer: -142*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(12) - sqrt(48)*1)\/(sqrt(4)*-1*3).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is next in -6194749, -6194732, -6194715?\nAnswer: -6194698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Expand ((-3 + 4 + 0)*(7*l - 6*l - 17*l) - 3 + 3 - 2*l + (4 - 3 + 1)*(-2*l + l - l))*(-l**2 + l**2 - 2*l**2)*(-l + l + 2*l).\nAnswer: 88*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Find n, given that -2*n**4\/11 - 6*n**3\/11 + 36*n**2\/11 + 64*n\/11 - 192\/11 = 0.\nAnswer: -4, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of -37\/7710 and 139\/48.\nAnswer: 61680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Let q(l) = 35418*l - 17718*l - 17702*l. Suppose -4 - 6 = -2*z. What is q(z)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 11.2039 rounded to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: Is 5937 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let m(q) = -q**2 - q + 42. Let d be m(-7). Which is smaller: d or 12\/169?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(r) = 341*r**2 - 2*r + 2. Let d(h) = -3408*h**2 + 21*h - 21. Determine 6*d(j) + 63*q(j).\nAnswer: 1035*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: 2\/(-3)*(-60 - -45)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Expand -3*f + 3*f + 3*f**4 - 2*f**3 + f**4 + 2*f**3 + (-f**2 + 2*f - 2*f)*(-2*f**2 - f**2 + f**2) + 0*f**4 + f**4 + 0*f**4 + 13*f**4 + 16*f**4 - 9*f**4.\nAnswer: 27*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Rearrange (1 - 1 - o)*(-2*o + 1 - 1) + 12*o**2 - 10*o + 10*o - 2*o**2 - 3*o**2 + 6*o**2 to the form y*o**2 + k + s*o and give y.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let r = 30 + -21. Suppose 3*n - r = 33. Let z(b) = 3*b**2 - 266*b + 545. Let t be z(2). Solve 0 = -5*d + 3*s + t, -3*d - 4*s = -0*s + n for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((-1*sqrt(102))\/sqrt(6) + 1 - (sqrt(119)\/(sqrt(21)\/sqrt(3)) - (-5 + sqrt(272))))*4.\nAnswer: -16 + 8*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Find the common denominator of -26\/2415 and 37\/280945.\nAnswer: 842835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) -0.07 (b) 4\/13 (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let v(c) = -4*c**3 + 55*c**2 - 2375*c + 33408. What is v(14)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the gth term of -392120, -392115, -392106, -392093, -392076?\n\"Answer: 2*g**2 - g - 392121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let q be (3\/(-3) - -1) + 109. Let a = q + -74. Suppose 0 = -w, 0*w + a = 5*k + 2*w. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -0.9 - -0.6. Let t = -2.7 + o. What is the third smallest value in 1, t, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) be the third derivative of -b**7\/42 + 7*b**6\/24 + 7*b**5\/12 - 215*b**4\/24 - 35*b**3 - 136*b**2 - 18. Let w(o) = 0. Calculate o.\nAnswer: -2, -1, 3, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from mmmdwgwtmtdxm. What is prob of sequence mwm?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common factor of 56 and 1022.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 73*r**3 - 102*r**3 + 71*r**3 - 50*r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Factor -3*f**2 - 13683*f - 461754.\nAnswer: -3*(f + 34)*(f + 4527)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: What is 260 minutes after 7:27 PM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common factor of 270 and 2614554.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Sort 5, 4\/3, -30, -0.01, -44.\nAnswer: -44, -30, -0.01, 4\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Calculate the common denominator of 994\/(-1420)*1390\/(-980) and ((-2)\/(-5))\/(308\/435).\nAnswer: 1540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 17 a factor of 1986?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Let z be (-8532)\/(-27)*(-6441)\/(-6). Is (-1)\/(-5) - z\/(-95) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Let u(g) = -g**3 - g**2 + 4*g - 2. Let z be u(1). Solve -5*x - 8 - 7 = z for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Factor 3*r**3\/2 + 15861*r**2\/2 - 23811*r - 31740.\nAnswer: 3*(r - 4)*(r + 1)*(r + 5290)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Let y(q) = q**2 - q + 31. Let h be y(0). Let u = h - -18. Let x = -43 + u. Calculate the remainder when 16 is divided by x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -63354 (base 10) in base 6?\nAnswer: -1205150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 425 and 228055?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Simplify w**(-7)*w\/w**(-1\/2)*w**(-9)\/(w*w**12) assuming w is positive.\nAnswer: w**(-55\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Is 615 a factor of 39831090?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Simplify -1 + -4 + ((sqrt(98)*-1 - sqrt(98))*6 + (1 + sqrt(98))*-4)*-6.\nAnswer: 19 + 672*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -6*k = -k - 5*i - 645, -2*i = 5*k - 652. List the prime factors of k.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of sequence lebl when four letters picked without replacement from lllbbelelell.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let u(w) = w**2 - 12*w + 15. Let k be u(11). Solve 2*t - k*t + o = 12, 0 = 5*t + o + 23 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from {m: 4, v: 4, d: 8}. What is prob of sequence vv?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 92846572 and 213028?\nAnswer: 11212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 11190.\nAnswer: 2, 3, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Let o(v) be the third derivative of -v**4\/24 + v**3\/6 + v**2 + 20. Let j be 304\/(-64)*(5 - 1). Let x = 13 + j. Let d(z) = z**2 - 2*z + 2. Give x*o(a) + 3*d(a).\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Sort -62, -1\/6, -2, -3, -4, -138 in decreasing order.\nAnswer: -1\/6, -2, -3, -4, -62, -138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let o = 1.4 - 0.4. Let f = -0.1 + -1.9. Which is the closest to -0.2? (a) f (b) -1 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q(v) = -v**2 - 7*v + 8. Let l be q(-7). Is l\/6 - (-2)\/3 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Subtract 0.16548431 from -5.\nAnswer: -5.16548431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What is 305326 (base 7) in base 2?\nAnswer: 1100110001001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose k = -2*k - l, 4*l = 2*k. Sort k, 25, -2.\nAnswer: -2, k, 25","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 5 + -2 + -3 + 0. Suppose -3*d + 6*d - 15 = c. Suppose 4 = -4*r + y + 1, 5*y + 15 = 5*r. Put r, -1, d in increasing order.\nAnswer: r, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m be (-14 - (34 + -54)) + 1 + (0 - 5). Solve 2*x - 2*u + 73 - 65 = 0, u - 6 = m*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is (7 - (2 + 6))\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Let u(h) = -h**3 - 2*h**2 - 3*h - 1. Let v be u(-2). Suppose 6*q = v*q + 5. What is the second derivative of 4*t - 5*t**5 - 6*t + t**5 - 2*t**q wrt t?\nAnswer: -120*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let i = -124.4 + 0.4. Let w = i - -129. Suppose 4*l + 20 = -l. Which is the closest to 0.2? (a) -2\/11 (b) w (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*d = 2*d + 12. Let f be (-105)\/(-18) - ((-51)\/(-18) - 3). Suppose 5*k - 5*h = f + 14, -3*h - 9 = 0. Calculate the remainder when d is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 24 a factor of 11974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} {"text":"Question: Expand (0*o**2 + 3*o**2 - o**2)*(85 + 6*o - 85 + (-2*o - 2*o + 6*o)*(3 + 2 - 3)).\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose g - 11 = -2*n, -23 = 4*n - 7*n + 5*g. Factor -n*y + 3*y**2 - 24 + 21 - 21.\nAnswer: 3*(y - 4)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((4 + 1*sqrt(320)*-1)*6 - (1 + -5 + sqrt(160)\/sqrt(2) + -4))**2.\nAnswer: -3328*sqrt(5) + 14544","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let q = -2.63 + 1.63. Which is smaller: q or 428?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o(t) = -8*t**2. Let z(r) = -18652409*r. Calculate o(z(x)).\nAnswer: -2783298892026248*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let p = 5542 - 5537. Let m = 2 + -1. Solve 8 = -2*t, -t - 18 = -p*s + m for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let c be 2\/(2\/131) + -1 + -1. Determine x so that 590*x + 2*x**3 + 1323 + 33*x + 191*x + c*x**2 + 635*x + x**3 = 0.\nAnswer: -21, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*u - 5*u = -1, -u - 155 = 4*m. Suppose -35 = -2*f + 67. Let b = f + m. Calculate the highest common factor of 48 and b.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(o) = 153*o**2 + 4*o - 2. Suppose c - 5*a - 23 = 0, -a - 120 = -5*c - 5. Calculate the remainder when z(1) is divided by c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a(i) = i**3 - 3*i**2 - 2*i - 14. Let j(z) = 2*z**3 + 71*z**2 - 192*z - 72. Let f be j(-38). What is a(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t = -12046 - -12048. Let q be (0*(-4)\/32)\/(-2*1). Factor q + 2\/19*x**5 - 4\/19*x**t + 0*x + 0*x**4 - 6\/19*x**3.\nAnswer: 2*x**2*(x - 2)*(x + 1)**2\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -1 + 2 + 6*h - 1.\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of 2977154*w**3 - 180208*w**2.\nAnswer: 17862924","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = -8*k - 353 + 89. Let y(u) = -u**3 - 33*u**2 + u + 38. Let w be y(k). Solve 24 = -2*h - 4*m, 10*h = w*h - 4*m - 30 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 40*j - 216 = -32*j. Let k = 0 + -0.5. What is the nearest to 29 in j, 0, k?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z = -0.12 + 18.32. Let i = 18 - z. Round i to the nearest integer.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is -168 - 64?\nAnswer: -232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: Is 1944857773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let r(h) = -137*h**2 + 4*h - 5. Let k(p) = 273*p**2 - 7*p + 8. Give -4*k(n) - 7*r(n).\nAnswer: -133*n**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: What is (-45 - (11 - 26)) + -7 + 0 - -1?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -2, 12, 5, 3 in descending order.\nAnswer: 12, 5, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Let h = -1.8 + 5. Let g = -3.5 + h. Let k = 3 - 3.2. Put k, g, 0 in increasing order.\nAnswer: g, k, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let b(z) be the first derivative of z**9\/3024 - z**5\/30 - z**3 - 2. Let g(f) be the third derivative of b(f). What is the second derivative of g(p) wrt p?\nAnswer: 20*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 15280108?\nAnswer: 2, 197, 19391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is 1184293 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 38070 and 840420.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Solve 5*s - s - k + 25 = 0, -2*s + 177*k - 35 = 172*k for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Suppose -8*y + 55 = -3*y. Let z = 14 - y. Suppose 0 = -4*b + 5*r, -z*r = -2*b - 8*r. Solve -3*t - 10 + 1 = b for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: What is 0.1458164l in millilitres?\nAnswer: 145.8164","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 2272986.\nAnswer: 2, 3, 197, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is -26123724 divided by -3?\nAnswer: 8707908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 151296478 and 12173.\nAnswer: 1739","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is 21311222 (base 4) in base 2?\nAnswer: 1001110101101010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 10520.\nAnswer: 2, 5, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Find the third derivative of -14591929*l**4 + l**3 - 4015398*l**2 wrt l.\nAnswer: -350206296*l + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence jjvl when four letters picked without replacement from {j: 2, i: 1, l: 1, v: 1}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Simplify -4 + -5 + sqrt(22)\/sqrt(2) + -4.\nAnswer: -13 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: What is -0.06 - 5.8?\nAnswer: -5.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let b = -28.6 + 30. What is b rounded to 0 decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Convert -22 (base 3) to base 2.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 635 is divided by 71?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Determine m so that -m**5 + 8515*m**4 + 17035*m**3 - 8515*m**2 - 17034*m = 0.\nAnswer: -2, -1, 0, 1, 8517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.05? (a) 0 (b) 1\/3 (c) 0.131 (d) -3\/7 (e) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify f**(-3\/5)\/f**(1\/4)*(f*f**1)\/f**(-2\/9) assuming f is positive.\nAnswer: f**(247\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Suppose 64 - 49 = 3*j. Calculate the remainder when j is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve v - 58 = -59 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 8*p - 7 + 23. Let k be (p - 0)\/(-2) + 1. Suppose k*a + 2*a = 24. What is the highest common factor of a and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 50 + 170 = 5*y. Let u(x) = 3*x**3 - 2*x + 2. Let g be u(2). What is the highest common divisor of g and y?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: How many nanoseconds are there in 33.23063 hours?\nAnswer: 119630268000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Expand 0*k**2 + 5*k**2 - 3*k**2 + (8 - 5*k - 8)*(-3 + 3 - 3*k)*(-1 + 2 + 2).\nAnswer: 47*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -188308 - 2*i**2 - 26*i + 188308.\nAnswer: -2*i**2 - 26*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Let w(b) = 56*b**2 + 14*b + 31. Is w(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 6*c = 4*c. Suppose -4*s + c = -8. Let j be 68 - (-4 + s)\/2. What is the greatest common divisor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 167012 is divided by 231?\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 0 or 1\/44975382?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(5) + sqrt(20)\/sqrt(4) + 1 - -1*sqrt(320)) + -4 - ((sqrt(105)*3)\/sqrt(3) - sqrt(35))\/((sqrt(14) + sqrt(504))\/sqrt(2) - sqrt(7) - sqrt(7)).\nAnswer: -3 + 48*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Let b(n) be the first derivative of n**3\/3 - 1. Let z = -476 - -483. Let v(g) = 12*g - 4*g + 16*g + z*g - 4*g. Calculate b(v(x)).\nAnswer: 729*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Solve 123*j - 120*j = -3*h - 3, -2*h - 14 = -j for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Which is the third biggest value? (a) 5 (b) 47 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: 12.3 * -82473\nAnswer: -1014417.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let p = -515 - -519. Suppose -m - m + 18 = 2*y, -p*y + 6 = -m. Is m greater than -0.042?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify ((sqrt(119)*-3)\/sqrt(7) + (sqrt(153) + sqrt(17))*-6 + -3 - (sqrt(1088)*-2*5*5 + -2))**2.\nAnswer: -746*sqrt(17) + 2365194","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Simplify (-1*sqrt(84)*1)\/sqrt(12) - (sqrt(14)\/sqrt(8) + -4 + (sqrt(28))**2 + sqrt(7)).\nAnswer: -24 - 5*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: List the prime factors of 868266811.\nAnswer: 233, 3726467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common divisor of 840 and 260926680?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Differentiate -68673*f*t - 200182*t with respect to f.\nAnswer: -68673*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 41 and 451?\nAnswer: 451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: Which is the second biggest value? (a) -0.63 (b) 1 (c) 2\/11 (d) -5 (e) 2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: What is 291 minutes before 5:35 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Simplify (c**19*c*c\/c**4*c)\/(c*c**(-1\/2))**(4\/17) assuming c is positive.\nAnswer: c**(304\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let x = -25 - -24.84. Let r = x + -1.84. Put r, 2\/5, -4\/7 in descending order.\nAnswer: 2\/5, -4\/7, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Let n(k) = -k**3 - k**2 + k. Let o be n(-3). Let v = 21 - o. Calculate the common denominator of ((-134)\/(-12))\/(2\/v) and -99\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let t(q) = 4*q - 8. Give t(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 121 minutes after 3:06 AM?\nAnswer: 5:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: Are 0 and -2\/8805849 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Round 1503000 to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common divisor of 26 and 3875794?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: What is the distance between 20 and 7059?\nAnswer: 7039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 3651654?\nAnswer: 2, 3, 608609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Product of 10936061 and 0.5.\nAnswer: 5468030.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Let q be 12\/(-16) + (-13)\/(-12). Solve 0*b + 0 - 1\/3*b**3 + q*b**5 + 0*b**4 + 0*b**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 38094535?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {g: 2, p: 4, t: 5, h: 1, u: 2}. What is prob of picking 1 u and 3 t?\nAnswer: 20\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 248739 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: Round -0.00007257 to 5 dps.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: -1*(-5)\/((-20)\/12)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Suppose -4*d - 4*b + 40 = 0, 0*d = -4*d + 3*b + 68. Suppose 7*u + 3115 = d*u. Suppose -8*p + u + 835 = 0. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the smallest value in 3, -1, -0.5, 2.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 2, o: 3}. Give prob of picking 2 h and 1 o.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: (-10)\/70 - (-93)\/357\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the biggest value? (a) -1 (b) 2\/3 (c) -32 (d) 5 (e) -0.4 (f) 7274\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from {h: 3, y: 1, i: 7, b: 1}. What is prob of picking 3 i?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in 101, 128, 193, 314, 509, 796, 1193?\nAnswer: 1718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -13, -13, 13, 65, 143, 247?\nAnswer: 377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Suppose -5*p + 83182236 = -57288774. Suppose 11*c = 175777275 + 330158947. Let f = p - c. Round f to the nearest 1000000.\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the next term in -88, -348, -788, -1414, -2232, -3248, -4468, -5898?\nAnswer: -7544","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} {"text":"Question: Calculate 4*((-6)\/8)\/(-1)*(-240)\/(-90).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to -1? (a) -3\/7 (b) 1\/3 (c) -0.4 (d) 22 (e) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -33e010 (base 16) to base 7.\nAnswer: -40616436","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the highest common factor of 406 and 4263?\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Four letters picked without replacement from {i: 3, r: 7, w: 3, o: 2}. What is prob of picking 1 i, 1 w, and 2 o?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: What is 22991414 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let q(b) = -79*b + 8338. List the prime factors of q(0).\nAnswer: 2, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the greatest common factor of 43818 and 34553?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let u(y) = -y**3 + 3*y + 76. Let b be u(0). Let r = -76 + b. Solve 0 = o + 2*m - 1, 5*m - 19 + 4 = r for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the lth term of 181, 185, 181, 163, 125, 61, -35, -169?\n\"Answer: -l**3 + 2*l**2 + 5*l + 175","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let u = -13 - -24. Suppose r + 4*w - 13 = 0, -2*r - 4*w = -7 + 1. Let v = -7 - r. Solve v = 5*b - 9 - u for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 80 = 81*f - 41*f. Solve 16*g - f - 30 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from hixidmj. Give prob of sequence mii.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the sixth root of 5351311969 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: Let t(c) = -c**3 + 16*c**2 + 2*c - 1. Give t(16).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 b, 1 n, and 1 a when three letters picked without replacement from puannaananppnauabu.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Simplify (((sqrt(50) - sqrt(150)\/sqrt(3))\/sqrt(10) + 1)*5)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Solve -4*y**3 + 28*y**2 - 28*y - 60 = 0.\nAnswer: -1, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} {"text":"Question: Express ((-43 + 43 + 34*d)*(2 - d - 2) + 2 - 2 - 2*d**2)*(-4*d - 11*d + 10*d) as l + i*d + m*d**3 + n*d**2 and give m.\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Expand -2*i + i + 3*i - 2*i + 4*i - 4*i + (-4*i + 3*i + 0*i)*(4 - 1 - 4) + 0*i - 3*i + i - 4 + 4 - i + (2 + 5 - 3)*(-5*i + 2*i + i).\nAnswer: -10*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Express 1061 + 2*w**3 - 2314003*w + 2314003*w in the form c + b*w**2 + j*w + q*w**3 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let z(k) = -61*k - 1172. Is z(-32) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-29 + 7 - 40)*(0*h + 0*h + h**2).\nAnswer: -62*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Multiply 1 and 0.7.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is the nearest to 2\/5 in 4, 0.1, 3, -3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Convert -10642 (base 7) to base 9.\nAnswer: -3657","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 394?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Calculate -0.241 - 1.84.\nAnswer: -2.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Two letters picked without replacement from kqqqdqqddqqdddid. What is prob of picking 2 d?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: Let q = -57 + 59. What is the closest to 1\/2 in q, -3, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*z + 4*u - 5*u - 7, -4*z - 1 = -5*u. Suppose -725 = x - z*x. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*w - 4*s = 31, 3*s - 1 = 5*w - 28. Suppose -d + 8 = -2*i, w*i - 57 = -3*d - 2*i. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Let m(c) be the first derivative of -21*c**5\/25 + 127*c**4\/10 - 31*c**3 - 1008*c**2\/5 + 196*c\/5 - 427. Suppose m(v) = 0. Calculate v.\nAnswer: -2, 2\/21, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: Let a be (-4)\/(-26) - 1055\/13. Let d = -47 - a. What is the remainder when d is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o be ((-4)\/6)\/(4\/(-168)*4). What is the second biggest value in 0.3, -4, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: What is -38112076089 less than -0.71?\nAnswer: 38112076088.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in 3*s**3 + 3705 - 3705.\nAnswer: 3*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: Simplify (o*o**7\/o)\/(o**(1\/9)\/o)*o**9*o**(4\/7) assuming o is positive.\nAnswer: o**(1100\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Let w = 202 + -417. Let h = -66 - w. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the lowest common multiple of 5076 and 186.\nAnswer: 157356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 1165428 is divided by 8154?\nAnswer: 7560","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the xth term of -142, -577, -1304, -2323, -3634, -5237, -7132?\n\"Answer: -146*x**2 + 3*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Which is the third smallest value? (a) -1 (b) 3\/2 (c) 2\/689 (d) -1\/3 (e) 7\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Let f(k) = -k**3 + 16*k**2 + 16*k + 98. Give f(17).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: What is 6149 to the power of 1\/3, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} {"text":"Question: 19.39 times -0.6\nAnswer: -11.634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: Solve -11*t - 23 = 9*a - 7*a, -t = 44*a - 5*a + 114 + 121 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} {"text":"Question: Let y = -0.4376 - 269.4124. Let m = y - -276. Let k = m - 6. What is k rounded to one dp?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Is -260\/9 < -29?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: In base 10, what is 11 - -6?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the derivative of -4*h*o**3 - h*o**2 - 86*h*o - 2*h + 1006*o**3 + 74*o wrt h?\nAnswer: -4*o**3 - o**2 - 86*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: What is the value of 2 + 1 - 1 - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} {"text":"Question: Sort -17, -4, -63, 1132, 2, 28.\nAnswer: -63, -17, -4, 2, 28, 1132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Simplify (j*j\/(((j\/(j*j**(1\/8)*j))\/j)\/j*j)*j*j*j*j**(-9)*j**7\/((j\/j**(-5\/2))\/j))**(-32) assuming j is positive.\nAnswer: j**(-84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Sort 1, -14, 2559, -259.\nAnswer: -259, -14, 1, 2559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the lowest common multiple of 6 and 674050?\nAnswer: 2022150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the kth term of 10, 11, 8, 1, -10, -25?\n\"Answer: -2*k**2 + 7*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Let v = 41790.979757 - 41791. Round v to four dps.\nAnswer: -0.0202","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k(q) = -q**2 - 10*q - 12. Suppose -8 = -3*p - 32. What is the units digit of k(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Calculate the greatest common divisor of 354294 and 162.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Calculate prob of picking 1 a and 1 m when two letters picked without replacement from aaallamjlajallaamaj.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} {"text":"Question: In base 13, what is -24b - 15?\nAnswer: -263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} {"text":"Question: What is the second biggest value in -501, -3\/23, -5\/4, 1?\nAnswer: -3\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} {"text":"Question: Express (m**3 - m**3 - 2*m**3)*(0*m - m + 3*m)*(15 + 27 + 0)*(3 - 5 + 3) in the form k*m**2 + q*m + x + y*m**4 + v*m**3 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Which is smaller: 4130\/9 or 458?\nAnswer: 458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: Suppose 4*y + 3 = 5*m - 2, -4*y = -m + 1. Suppose -g + 4*g + 12 = 0. Which is bigger: m or g?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Let h = 6651 - 2528. Is 2\/(-12) + h\/42 a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the remainder when 457775 is divided by 374?\nAnswer: 373","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the wth term of -2, -8, -14?\n\"Answer: -6*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Divide -46 by -4.\nAnswer: 23\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} {"text":"Question: Let l be (-1)\/(-3)*(-2373)\/(-7). Let r = -68 + l. What is the remainder when r is divided by (-5)\/1*48\/(-15)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 34027 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Is 60007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: Let v(s) = -s**2. Let u(t) = t**3 - 7*t**2 + t + 1. Let q(a) = -u(a) + 3*v(a). Let p be q(3). Suppose 40 = p*z - 0*z. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-2*k + 0*k + 0*k)*(30513874 - 4264*k - 30513874)*(-2*k + 5*k - k).\nAnswer: 17056*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Suppose 57 = 5*n - 33. Suppose 5*p - 2*a - n = 0, -3*a + 0*a = -3. Let r(j) = j + 4. What is r(p)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} {"text":"Question: Let w = 324 - 797. Let c = w - -724. List the prime factors of c.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} {"text":"Question: Let k = -3.1 + 3. Let v = -87 + 83. Let z = -355\/1059 + 2\/1059. What is the third biggest value in z, v, k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 3*t - 6 = t. Suppose 30 = t*y - 2*y. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 188537 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} {"text":"Question: What is 15818810 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: Solve 140254 + 830425 + 258807 = -17855*s + 211751 for s.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Let w(t) = 15*t**2 + 13*t + 9. Let r = -16 + 23. Let n(a) = -6*a + 0 - r + 3 - 7*a**2 + 0. Let p(u) = -13*n(u) - 6*w(u). Differentiate p(b) with respect to b.\nAnswer: 2*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence yy when two letters picked without replacement from yyypyyyyyyyyyyyyyy?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Suppose 0 = 2*k - 7*k + 30. Suppose -k = -4*v + v. Suppose v*q - 9 = q. Calculate the greatest common factor of 99 and q.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let q = 6181\/16 - 386. Find the common denominator of (-22)\/(-8)*(4 - (-26)\/(-8)) and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} {"text":"Question: Let z(v) = v**2 - 3*v + 1466. Let l(p) = 12*p**2. Calculate z(l(u)).\nAnswer: 144*u**4 - 36*u**2 + 1466","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let w(n) = -3*n + 11. Let f(a) = -15*a + 54. Let j(t) = -5*f(t) + 24*w(t). Let h be j(3). Suppose 4 = 2*z, -38 = -3*y - 4*z - 6. Solve h*p = -7 - y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Collect the terms in -220 + 167 - 130 + 21*x - 306 - 20*x.\nAnswer: x - 489","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence zaef when four letters picked without replacement from kafezzafeaaeaea?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is 0.000014486 rounded to 6 dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} {"text":"Question: b\"What is the oth term of -4169, -8403, -12699, -17057?\n\"Answer: -31*o**2 - 4141*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} {"text":"Question: Express (7 - 4 - 1)*(a - 2*a + 0*a) + (-68 + 51 - 87)*(-3*a - 2*a + 6*a) in the form g + c*a and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Suppose 165*w + 110 = 187*w. What is the nearest to -2 in w, 1\/8, 0.021?\nAnswer: 0.021","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Let r = 1563 + -1063. What is the greatest common factor of 80 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: What are the prime factors of 78313?\nAnswer: 71, 1103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} {"text":"Question: Which is the closest to 0.3? (a) 1\/5 (b) 0.1 (c) -1\/7 (d) -7031\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Let r(o) = 146*o + 43. Let b(u) = 21*u + 6. Calculate -15*b(z) + 2*r(z).\nAnswer: -23*z - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} {"text":"Question: Let h be -1 + 8 + 182504 + -1 + 0. What is h rounded to the nearest one thousand?\nAnswer: 183000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the second derivative of -70*t**3 - 390743*t**2 + 11*t + 1464107?\nAnswer: -420*t - 781486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} {"text":"Question: How many years are there in 11\/2 of a decade?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} {"text":"Question: Put -667, -3, -6, 0, -1 in descending order.\nAnswer: 0, -1, -3, -6, -667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is the product of 138.2 and -0.6?\nAnswer: -82.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} {"text":"Question: What is 10 - -0.2433?\nAnswer: 10.2433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Let l(u) = 2*u**3 - 20*u**2 + 9. Suppose -2*m + t = -156, -m + 2*t + 152 = m. Suppose -5*k + 5*j = -m, -4*k + 40 = k + 3*j. What is the tens digit of l(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: Sort 3, 4\/7, -5, 230, -3\/7.\nAnswer: -5, -3\/7, 4\/7, 3, 230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: What is -0.3 + -1.469?\nAnswer: -1.769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 9 and 369.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Let r = -11920 - -21687. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*b - 32 - 8 = 0. Suppose -2*s + 20 = 3*t - 12, 3*t - 12 = 3*s. Calculate the highest common factor of b and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Simplify (sqrt(120)\/sqrt(2))\/sqrt(3) + (sqrt(500))**2*1 - sqrt(140)\/(sqrt(700)*3).\nAnswer: 29*sqrt(5)\/15 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} {"text":"Question: Calculate the highest common divisor of 988 and 447044.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} {"text":"Question: Suppose -3*c - 4*o + 560 = 0, -49*c + 5*o + 788 = -45*c. Solve -c + 186 = 3*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g(d) be the first derivative of d**2\/2 + 2*d - 2. Let p be g(-5). Sort 1\/3, p, 0.3 in increasing order.\nAnswer: p, 0.3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -82*p = -81*p - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: 9\/(-108)*4*(-39)\/(-52)\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} {"text":"Question: Let n be 24\/3 - (-1 - (-8 + 3)). Let d(o) be the first derivative of 0*o - 1\/3*o**3 + 0*o**2 + 2 - 1\/4*o**n. Find the third derivative of d(c) wrt c.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} {"text":"Question: What is prob of sequence vnn when three letters picked without replacement from jjavavkvjaannkvnka?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: What is the units digit of 35595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Suppose 5*h - 171 + 14 = -3*s, -2*h + 78 = 5*s. Let r = h - 12. Suppose -3*i = -10 - r. What is the units digit of i?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} {"text":"Question: How many minutes are there between 5:23 PM and 2:15 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to -1\/2 in -1, -26, -32?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: What is 63b (base 15) in base 13?\nAnswer: 842","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Suppose 8*v - 180 + 169 = 733. Calculate the greatest common divisor of 8401 and v.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} {"text":"Question: Let y = -3720 - -3722. Factor 10\/13*z**3 + 0*z + 0 - 8\/13*z**4 - 2\/13*z**y.\nAnswer: -2*z**2*(z - 1)*(4*z - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} {"text":"Question: What is the tens digit of 629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} {"text":"Question: Let u(t) = -2*t**2 + 8*t**2 - 5*t**2. Let w(q) be the first derivative of 11 + 37\/2*q**2 + 0*q. Determine w(u(k)).\nAnswer: 37*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Calculate the remainder when 88879 is divided by 119.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} {"text":"Question: Let n(m) = -11*m**4 + m**3 + 19*m**2 + m. Let f(s) = 10*s**4 - 18*s**2. Let w(d) = 10*d - 36. Let v be w(4). Let q(r) = v*n(r) + 5*f(r). Solve q(j) = 0 for j.\nAnswer: -2, 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} {"text":"Question: Solve -1725 - 1287 = -586*w - 668 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: Express (1 + 4 + 1)*(-38 + 2*y + 4*y**2 + 19 + 23) as z + x*y + m*y**2 and give m.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Put -1, 2, 24591, -8, -2 in decreasing order.\nAnswer: 24591, 2, -1, -2, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} {"text":"Question: Suppose -572*m + 551*m + 3270 = -5718. Calculate the remainder when 1304 is divided by m.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Let g = 0.3 - -0.4. Let n = 0.3 + g. Suppose -315 = 4*j - 319. Which is the closest to n? (a) 1\/4 (b) -0.3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 2 - 7*j**3 + j**3 + 2*j + 2 + 7*j**3 to b + k*j**3 + c*j**2 + a*j and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let x(k) = -17*k + 13. Is x(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose 7*g = 9*g + 16. Let i = g - -10. Suppose 0 = 2*z + j - 14, -4 = -z - 4*j + 2*j. Solve -z = -4*f - i*p, 2*p - 3*p + 1 = f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let o = -2\/4133 - 16518\/28931. Let j = -731 - -726. Suppose b + 4*h + 30 = -h, 2*b + 4*h = -36. Sort o, b, j in ascending order.\nAnswer: b, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} {"text":"Question: Solve -7 = -7*l + 21 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} {"text":"Question: What is 11230022021 (base 4) in base 14?\nAnswer: 2ab825","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} {"text":"Question: Let p = -28.999999412 + 29. Round p to 6 decimal places.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} {"text":"Question: Expand (-1 - 2 + 5)*(2*q**3 - q**2 + 2*q**4 + q**2 + (0*q + 6*q + q)*(-4*q**3 - 2*q**3 + 3*q**3) + q**4 + 0*q**4 + q**4).\nAnswer: -34*q**4 + 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} {"text":"Question: Let g be ((-525)\/20)\/((-6)\/16). Suppose -2 = 4*y - g. What is the remainder when 65 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} {"text":"Question: Is 939\/635611 at least as big as 1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} {"text":"Question: What is the closest to 0.1 in 6\/7, 0.5, -39, 2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} {"text":"Question: Simplify (m**14\/m**(-11\/4))\/(m**(-14)*(((m*m*m\/m**(-20)*m)\/m)\/m)\/m) assuming m is positive.\nAnswer: m**(39\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} {"text":"Question: Rearrange 6*q**4 - 28*q + 8*q + 20*q - 36*q**2 + 2*q**3 - 2*q to j + m*q**2 + l*q**3 + n*q**4 + y*q and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} {"text":"Question: Let b(m) = -m**2 + 13*m + 12. Calculate b(14).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Let q = 550 + -550.036. Let o = 24 + -51. Let s = -26 - o. Is s less than q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} {"text":"Question: Three letters picked without replacement from eoeeosooeoseeqssoqq. What is prob of sequence oos?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} {"text":"Question: Let f(m) = -52600819*m**2. Let x(d) = d. Determine x(f(b)).\nAnswer: -52600819*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} {"text":"Question: Let q = -18 - -16. Which is the nearest to -3? (a) q (b) -0.2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} {"text":"Question: Suppose -90 = -11*k - 2. Solve -2*a = -5*a - 5*g - 16, -k = 4*g for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} {"text":"Question: Let l(h) = -1201*h**2 - 114*h + 120. What is l(1)?\nAnswer: -1195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} {"text":"Question: Find the second derivative of 15*c**3*l**2 - 3*c**3*l - 282057*c**3 - 2*c**2*l**2 + 7*c*l**2 - 1374*l**2 wrt l.\nAnswer: 30*c**3 - 4*c**2 + 14*c - 2748","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}