
Let n be (-12)/(((-3)/6)/1). Suppose 0 = -4*b + 5*a - 27 + 3, 4*b - 3*a = -n. Let i = b - -7. What is the greatest common divisor of 8 and i?
1
Let b = -41 - -56. What is the greatest common divisor of b and 105?
15
Let z = 4 + -1. Let q(a) = -a**3 + 7*a**2 - a + 10. Let h be q(7). Calculate the greatest common factor of z and h.
3
Let g be 5/(-2*45/24 - -4). Suppose j + 2*j - 115 = -5*t, -5*t + 3*j + 85 = 0. What is the greatest common factor of t and g?
20
Let v(k) = -k**2 + 3*k - 3. Let p be v(2). Let z be ((-5)/4)/(p/8). Calculate the highest common divisor of 5 and z.
5
Suppose t = 41 - 7. What is the highest common factor of t and 85?
17
Let n(t) = -2*t**2 + 0*t - 7*t + t**2 + 0*t. Let b be n(-3). What is the greatest common factor of 8 and b?
4
Let d be 1/4 - 19/(-4). Suppose s = d - 2. Suppose -s = -0*z - z. What is the highest common divisor of 12 and z?
3
Suppose 608 = 2*z + 50. Calculate the highest common divisor of z and 31.
31
Let z(f) = 97*f**2 - f + 2. Let h be z(2). Suppose 3 - h = -5*c. Let n be 1 - (1*10)/(-1). What is the highest common factor of n and c?
11
Let d be (3/2)/(18/324). What is the highest common divisor of d and 9?
9
Suppose 4*v + 44 = -u + 15, -5*v + u = 43. Let n = 34 + v. Let m = -24 + 89. What is the highest common divisor of n and m?
13
Let r = 7 - 5. Suppose 5*u + 7 = 3*u + 5*v, -r*u + 11 = v. Suppose -137 + 41 = -3*t. What is the highest common divisor of u and t?
4
Suppose 3*z + 4 + 11 = 0. Let o be 0 - (z + 8/(-2)). Calculate the greatest common divisor of o and 81.
9
Let s(y) = y**3 + 4*y**2 - 7*y - 7. Let q be s(-5). Suppose 0 = -8*n + q*n + 720. What is the greatest common divisor of 18 and n?
18
Suppose -5*b + 139 = -4*i - 231, 0 = -3*b - 5*i + 185. What is the greatest common divisor of b and 10?
10
Let i = 21 + 305. Suppose -3*k + i = 4*x, -3*k = -x + 6*x - 325. What is the highest common factor of k and 10?
10
Let g be 2/8 - (-45)/12. Suppose 3*a = -3*z + 1197, 917 = 2*z + 4*a + 121. Suppose g*o = -o + z. What is the greatest common factor of o and 8?
8
Let k(l) = -l**2 - 8*l + 6. Suppose 0 = g + 2 - 1. Let u be (-13 + g)*8/16. Let q be k(u). Calculate the greatest common divisor of 39 and q.
13
Let w be (98/(-4))/((-5)/40). Let r be ((-3)/6 - -1)*w. Calculate the highest common factor of 14 and r.
14
Suppose -69 = -3*a + 4*v - 19, -3*a - 5*v = -5. What is the highest common factor of 55 and a?
5
Let q be (-1 - 1) + (2 - -20). Suppose s - 15 = -2*s. Calculate the greatest common divisor of q and s.
5
Suppose 5*w - 173 + 68 = 0. What is the highest common divisor of 63 and w?
21
Suppose -4*h - 5*r = -52, h - r - 1 = 3. Let a = 2 + h. Calculate the highest common factor of a and 70.
10
Let l be 2*(15/(-21))/(4/(-14)). Calculate the greatest common factor of 35 and l.
5
Let z = -9 - -15. What is the greatest common divisor of 66 and z?
6
Let b = 80 + -56. Suppose 0 = 2*j - d - 10, -19 = -5*j + 2*d - d. Calculate the greatest common factor of b and j.
3
Suppose -c = 5*k - 29, 5*c - 2*c - 12 = 0. Suppose 4*j - 14 - 46 = 0. Calculate the highest common factor of j and k.
5
Let r(s) = -s**2 + 20*s - 24. Let k be r(11). Calculate the highest common factor of 30 and k.
15
Let j = -25 - -41. Let o(a) = a**2 + 2*a - 8. Let l be o(-8). Calculate the highest common factor of l and j.
8
Let w(t) = 0*t - 4 - t - 11*t**3 + 3. Let r be w(-1). Let y be (r/4)/((-4)/(-16)). Calculate the highest common divisor of y and 99.
11
Let x be ((-338)/(-1))/(6/3). Let r = -69 + x. Suppose -2*f - 3*f - 80 = -4*v, 60 = 3*v - 2*f. What is the highest common divisor of v and r?
20
Suppose 3*t - 5*b - 42 = 0, -3 - 3 = t + 5*b. Calculate the greatest common factor of 45 and t.
9
Let f(n) = n**2 - 7*n - 12. Let x be f(9). Let g = x - -48. Calculate the greatest common factor of g and 6.
6
Suppose 4*d - 855 + 107 = 0. Suppose -z = 5*s - 12, -s + 0*s = -2*z + 68. Suppose z + 36 = 4*o. Calculate the greatest common factor of o and d.
17
Let n = 92 - 65. Calculate the greatest common factor of n and 3.
3
Let r = 11 - 9. Suppose -3*k + r*g + 1 = -3, k + g + 2 = 0. Suppose x - 12 = -k*x. Calculate the greatest common factor of 60 and x.
12
Let v be ((-60)/(-8))/(1/2). What is the highest common factor of v and 120?
15
Suppose b = 27 - 20. What is the greatest common divisor of b and 7?
7
Let b be 2*-2 - (6 + -14). Suppose 2*x = 4*r - 4, 28 = 2*x + 4*r + 8. Calculate the highest common factor of b and x.
4
Let j be (-54)/21*14/(-3). Suppose 0 = -3*n + 98 + 46. Calculate the greatest common divisor of j and n.
12
Suppose 785 + 15 = 5*v. Calculate the greatest common factor of 32 and v.
32
Let d = -186 - -238. Calculate the greatest common divisor of d and 130.
26
Let o = -16 + 23. Let d = o + -6. Let w be 2*d/(-4)*-26. Calculate the greatest common divisor of w and 117.
13
Suppose -c + 2*m = -253, c + 5*m - 470 = -c. Suppose -u = -6*u + 5*g + c, 5*g - 187 = -3*u. Let o = u + -30. Calculate the greatest common factor of 6 and o.
6
Suppose -o = -3*i - 28, -2*i - 25 = -3*o + 2*o. Suppose o + 9 = 4*d. What is the highest common divisor of d and 77?
7
Let l = 73 + -42. What is the greatest common divisor of l and 155?
31
Suppose -4*v = -v - 2*k - 80, -4*v + 2*k + 106 = 0. Calculate the highest common divisor of v and 13.
13
Suppose -372 - 64 = -3*c + f, 2*c - 276 = -3*f. Calculate the greatest common factor of c and 48.
48
Suppose -2*c - 3*g = c - 24, 3*g = -5*c + 44. Calculate the highest common factor of c and 110.
10
Let c be 4 - (2/(-1))/(-2). Suppose -i = 3*i + 2*q - 64, -i + c*q + 30 = 0. Let w = -11 + i. What is the highest common divisor of 7 and w?
7
Let q = 112 + -43. Let r be (0 - 1) + 10 - 2. Suppose c = 2*t - 31, r*t - q = 3*t - 5*c. What is the greatest common divisor of 8 and t?
8
Let u(d) = d**3 + 2*d**2 + 3*d + 2. Let p be u(-2). Let w = p - -2. Let f = w + 8. Calculate the greatest common factor of 4 and f.
2
Let i(m) = 3*m + 30. Let u be i(0). What is the highest common factor of u and 270?
30
Let x(r) = -r**3 - 9*r**2 + 18*r + 22. Let z be x(-11). Calculate the highest common divisor of z and 6.
6
Suppose 5*u = t - 2 - 2, 2*u - 8 = -2*t. What is the greatest common divisor of 4 and t?
4
Let p be 1 + 43 - (1 - (12 - 7)). Suppose -2*w - 3*w + 160 = 0. What is the greatest common factor of p and w?
16
Let w = -8 + 22. Suppose 0 = z - 22 - w. Let d = 787 + -775. What is the highest common divisor of z and d?
12
Let r = -40 - -59. Suppose -6*j - j = -1463. What is the greatest common factor of r and j?
19
Let h be (-4 + -2)/(3/(-2)). Suppose h*g - c - 56 = 3*c, 0 = 2*g - c - 24. Calculate the highest common divisor of 40 and g.
10
Suppose -2*w = -6*w + d + 39, 2*w - 4*d = 30. Suppose 3*f - 3 = 2*f. What is the highest common divisor of w and f?
3
Let w(p) = p + 8. Let m be w(-7). Let a be 7*(-3)/(-2 - m). Suppose 2*s - a = 13. Calculate the highest common factor of 70 and s.
10
Let x(a) = 2*a**2 - 8*a + 8*a**2 - 4 - 4*a**2 + a**3. Let l be x(-7). What is the greatest common divisor of 1 and l?
1
Suppose 3*h + 16 = -i, 12 = 2*i - 4*i - h. Let y be -3*(-1)/(-2)*i. Calculate the highest common factor of 66 and y.
6
Let v = 7 - -7. Let k = -16 + 58. Calculate the highest common divisor of k and v.
14
Let n(s) = 125*s**3 + s**2 - 3*s + 3. Let c be n(1). Calculate the greatest common factor of 14 and c.
14
Let q(k) = -4*k - 1. Let g be q(-1). Suppose -6*b + g = -5*b. What is the greatest common factor of b and 12?
3
Suppose 5*l + 3*o = 135, 187 = 5*l + 2*o + 57. Let d = 10 - 7. What is the highest common factor of d and l?
3
Let d be 21/2 + (-1)/(-2). Suppose 0 = -n - 3*n - 4*z + 408, -2*n = -2*z - 192. What is the highest common divisor of d and n?
11
Let s(n) = 22*n + 12. Let b be s(4). Calculate the highest common divisor of 40 and b.
20
Let t(x) = 2*x - 3. Let b be t(4). Suppose -3*r + 37 + 9 = -5*q, q = b*r - 62. Let h = r - -30. What is the highest common factor of 6 and h?
6
Let h(d) = 6*d - 5. Let y(b) = b**2 - 17*b + 16. Let t(r) = 8*h(r) + 3*y(r). Let k be t(-7). Calculate the greatest common divisor of k and 16.
16
Suppose 0*p + 91 = 2*d - 3*p, 4*d = 3*p + 179. Calculate the highest common divisor of 11 and d.
11
Let t(z) be the second derivative of z**4/12 - 5*z**3/6 + 3*z**2 + 3*z. Let c be t(4). Let u be -4*((-27)