h(w) = -w**2 - 10*w + 6. Suppose -3*k - k - 40 = 0. Let b be h(k). Calculate the greatest common divisor of 18 and b.
6
Let x be (10/(-7))/(3/(-21)). What is the highest common divisor of 40 and x?
10
Let u be 5 + -6 + (-2 - -3) + 2. Calculate the greatest common divisor of 5 and u.
1
Let q = 9 + -3. Suppose 0 = -4*s - 2*u + 268, -5*u - 2 = -5*s + 318. What is the highest common factor of s and q?
6
Suppose o + 4*k - 6*k = 4, -4*k = -5*o + 32. Let l be 0/2 + o + 5. Let v(s) = 5*s - 1. Let w be v(8). What is the highest common factor of l and w?
13
Let h(m) = 4*m**2 - 6*m - 7. Let t = 6 - 1. Let n be h(t). Calculate the greatest common factor of n and 42.
21
Suppose -5*s - 3*z = 62, -19 - 23 = 5*s - 2*z. Let n(g) = g**2 - 11*g - 1. Let a be n(s). Calculate the highest common divisor of a and 19.
19
Suppose o = 4*m - 720, 0 = 4*m + o + 2*o - 720. Calculate the highest common divisor of m and 20.
20
Suppose 14*r - 15*r = -32. Let u = 1 + 7. Calculate the highest common factor of r and u.
8
Suppose -5*g + 56 = 4*b, -3*g + 56 = 5*b - b. Calculate the highest common divisor of 112 and b.
14
Suppose i + 2*i = -s + 359, 137 = i - 4*s. What is the greatest common factor of i and 11?
11
Let b = -77 - 19. Let c be ((-2)/4)/(3/b). Suppose -12*a = -a - 44. Calculate the greatest common divisor of a and c.
4
Suppose 0 = -0*b - 5*b + 4*s + 39, -2*s - 30 = -4*b. What is the highest common divisor of b and 77?
7
Let x(o) = -o**2 + 7*o - 2. Let t be x(6). Let k be 5 + -2 - (2 - t). What is the highest common divisor of k and 40?
5
Suppose -10*l + 4*l = -72. Suppose -5*g + 3*g = -60. Calculate the greatest common divisor of g and l.
6
Let y(d) be the third derivative of -95*d**4/12 - d**3/6 - 7*d**2. Let m be y(-1). Calculate the greatest common divisor of m and 21.
21
Suppose 2*f + 2*c - 3 = c, -2*f + 2 = 2*c. Suppose 2*k = 2, -f*k + 30 = 3*b - 8. Calculate the highest common factor of 24 and b.
12
Let t = -12 + 17. Calculate the greatest common divisor of t and 35.
5
Let x = 26 - 23. Calculate the highest common factor of x and 1.
1
Let v = 8 + -5. Suppose -v*n = -5 - 31. What is the greatest common divisor of 8 and n?
4
Let p(j) = -4*j. Let x be p(1). Let l = -4 - x. Suppose -6*b - 26 = -5*a - 3*b, -5*a + 5*b + 30 = l. What is the greatest common factor of 4 and a?
4
Let n = 8 - 6. Suppose 5*u = n*u - 306. Let q = u + 237. What is the highest common factor of q and 15?
15
Suppose -2*v + j = -94, 3*v - 155 = -4*j + 2*j. What is the highest common divisor of v and 14?
7
Suppose 0 = 2*s + 17 - 55. Suppose -4*q = -380 - 0. Calculate the greatest common divisor of s and q.
19
Suppose 3*q - 5*l - 6 = 0, 2*q - 4 = 4*l - l. Suppose -5*g + 6 = w, -3*w + q*g + 9 = -9. What is the greatest common divisor of 3 and w?
3
Let s = -11 + 31. Let t be (1/(-3))/(5/15). Let i(u) = -4*u**3 + u**2. Let c be i(t). What is the highest common divisor of s and c?
5
Let k = 2 - 13. Let o = -11 - -33. Let u = k + o. Calculate the greatest common factor of 11 and u.
11
Let q(l) = -l**3 - 10*l**2 - 8*l + 12. Let w be q(-9). Calculate the highest common divisor of w and 1.
1
Suppose -600 = r - 6*r. Calculate the greatest common divisor of 24 and r.
24
Suppose z - 8 = 3*z. Let o = z - -10. What is the highest common factor of o and 1?
1
Let z be (2 - 1)/1 + -4. Let p(v) = 2*v. Let m(t) = 2*t + 1. Let b(c) = 2*m(c) - 3*p(c). Let a be b(z). Calculate the greatest common factor of a and 56.
8
Let a(r) = -r**2 - 7*r - 3. Let n be a(-4). What is the greatest common divisor of 2 and n?
1
Suppose 8 = 3*q - 10. Let s(c) = -c**3 + 7*c**2 - 5*c + 5. Let t be s(q). Suppose 3*y - 34 = -1. What is the highest common divisor of y and t?
11
Let n(m) = -m + 12. Let c be n(6). What is the greatest common divisor of 4 and c?
2
Suppose 5*h + m - 144 = 0, 0*h = -2*h + 5*m + 36. What is the greatest common factor of 7 and h?
7
Suppose 4*y - 335 - 1 = 0. Let z(d) = -d**3 - 2*d**2 - d. Let c = -1 - 2. Let i be z(c). Calculate the highest common factor of y and i.
12
Let g(u) = -2*u**2 - 10*u + 1. Let l be g(-3). What is the highest common divisor of 39 and l?
13
Let x(w) = -5*w - 6. Let c be x(6). Let y = 26 + c. Let t(n) = n**3 + 10*n**2 + 2. Let o be t(y). What is the greatest common divisor of o and 10?
2
Let v = -19 - -41. What is the greatest common divisor of 11 and v?
11
Let w = -8 + 39. Let v = -18 + w. What is the greatest common divisor of 143 and v?
13
Let u(g) = -2*g + 9. Let i be u(-4). Let z = -24 + 7. Let l be z/(-2 - 42/(-22)). Calculate the highest common divisor of i and l.
17
Let z(n) = 5*n - 1. Let p be z(1). Let t(g) = g**2 + 8. Let r be t(p). Calculate the greatest common divisor of r and 264.
24
Suppose 3*f + 5*z = 26, 3*f - 14 = -3*z + 16. What is the greatest common factor of f and 36?
12
Let g = 202 - 42. Calculate the highest common divisor of g and 20.
20
Let f be 7/4*12/3. Suppose -3*u + 308 = 8*u. What is the greatest common factor of u and f?
7
Suppose -1 = k - 0. Let j = 4 - k. Suppose 0 = -t - 5*b - 16, t - j*b - 34 = -0*t. What is the highest common divisor of t and 9?
9
Let q be (-117)/(-2) + (-3 - (-10)/4). What is the highest common divisor of 29 and q?
29
Let k be 6/27 + (-4)/18. Suppose 5*y + 8 + 2 = k. Let l be 16*(y + (-27)/(-6)). Calculate the greatest common factor of 100 and l.
20
Let y be 2/(-6) + 416/6. What is the highest common factor of 23 and y?
23
Suppose -14*u + 192 = 2*u. Calculate the greatest common factor of 8 and u.
4
Suppose 3*p = 3*x + 5*p - 11, p - 13 = -4*x. Let u = 6 + x. Suppose 0 = 4*q + q - 15. What is the greatest common divisor of u and q?
3
Let h(a) = 2*a - 16. Let x be h(12). Let v = -2 + x. What is the greatest common divisor of v and 18?
6
Suppose -9 = -2*h - a, h + 4*a + a - 27 = 0. What is the greatest common divisor of h and 22?
2
Let w(s) = -s + 24. Let o be w(19). Suppose 0*a = 3*a + 2*c + 12, -5*a = -3*c + 1. Let f be ((-2)/5)/(a/50). Calculate the highest common factor of o and f.
5
Suppose 5*h - 4*k - 204 = 0, 3*k + 2*k + 165 = 4*h. Let x = 82 - h. What is the greatest common divisor of 14 and x?
14
Let p(i) = -i + 12. Let m be p(6). What is the greatest common divisor of m and 42?
6
Let n be (-1 - -6)*3/3. Let x = n + -1. Suppose -k - x*k = -60. What is the greatest common factor of k and 3?
3
Let q be 12/1*(2 + -1). Suppose -s + 96 = 3*s. What is the greatest common divisor of q and s?
12
Let q = 10 - 6. Let r be (-1)/(-1) + (10 - q). What is the greatest common factor of 77 and r?
7
Suppose -4*q + 16 = 0, 0 = -4*h + q - 3*q + 140. Calculate the highest common factor of 3 and h.
3
Suppose -2*s - 83 = -3*q + 2*s, 5*s = 3*q - 85. Let j = 75 - 70. What is the highest common divisor of q and j?
5
Let r = 167 - 90. What is the greatest common divisor of r and 7?
7
Let r be 93/9 + (-2)/(-3). Calculate the greatest common divisor of r and 11.
11
Let r = 11 + -6. Suppose -2*f + 0*f = -4*k - 70, -75 = -2*f + 5*k. What is the greatest common divisor of f and r?
5
Let f(z) = -z**3 - 20*z**2 - 7*z + 12. Let s be f(-20). Calculate the greatest common divisor of 19 and s.
19
Suppose 0*w - 4*w = -8. Let m be w*-1*(2 + -4). Suppose -5*p = z - 21, -5*z - 3*p + p + 174 = 0. What is the greatest common divisor of m and z?
4
Let h(p) = p**3 + p**2 + p + 84. Let d be h(0). Calculate the greatest common factor of 12 and d.
12
Let p = -5 - -9. Suppose 2*b - 3*y + 9 = 0, p*b - y - 2*y + 3 = 0. What is the highest common factor of b and 3?
3
Let y(w) = -w**3 + 5*w**2 + 6*w - 4. Let o be y(5). Calculate the highest common divisor of o and 13.
13
Let c be -3 + 5 - (1 - 1). Let a(g) = -3*g**c + g - 5*g + g - 7 - g**3. Let u be a(-6). What is the highest common factor of 17 and u?
17
Let p = 21 - 16. Suppose 0 = -3*t - 12, 5*y - p*t - 56 = 44. Let b(g) = 3*g**2 + 2*g - 5. Let s be b(5). Calculate the greatest common divisor of y and s.
16
Let d be 6 + (-5)/((-5)/2). Let u be (-1)/(-2) - (-4)/d. Let m(a) = 31*a**2 - 1. Let v be m(u). Calculate the greatest common divisor of v and 6.
6
Let i = 15 + -8. Suppose -5*u + 3 = -i. Suppose -u*r + 17 = -1. What is the greatest common divisor of r and 72?
9
Let a be (-1)/(-2)*-25*-2. Suppose 3*v + 23 = 53. Calculate the greatest common divisor of a and v.
5
Let r = 15 + -4. What is the highest common divisor of r and 