 0, -2*h = -3*t - 69. Calculate the highest common factor of h and 22.
11
Suppose -5*h = -q - 200, q - 2*h + 0*h = -197. Let s = q + 313. Suppose 42 + s = 5*u. What is the highest common divisor of u and 8?
8
Let s be (-2)/11 + (-4768)/(-88) + -4. What is the greatest common factor of s and 350?
50
Let i be (-2)/(2 - 4) + 7. Suppose 4*w - 2 = 6. Suppose w*a = -3*a + 320. Calculate the greatest common divisor of a and i.
8
Let z = 68 + -57. Calculate the highest common factor of 33 and z.
11
Let r be (-2)/(-5)*(-1 - -6). Calculate the highest common divisor of r and 2.
2
Let g = 36 + -16. What is the greatest common factor of g and 4?
4
Suppose 0 = 5*z - z + g + 3, 25 = -5*z + 3*g. Let v be ((-140)/(-3))/(z/(-6)). Calculate the highest common divisor of 14 and v.
14
Let k(g) = -4*g - 1. Let n be k(2). Let t be (-24)/(-9)*n/(-2). Let b be -9*-2*2/t. Calculate the greatest common factor of 9 and b.
3
Let x(t) = 189*t**2 + t + 1. Suppose 2*u + z = -2*z + 4, -3*z + 7 = -u. Let m be x(u). Let k = -41 - -62. What is the greatest common divisor of m and k?
21
Suppose -2*u - 8 = -2. Let a = u - -9. What is the highest common divisor of 2 and a?
2
Suppose -y + 2 = 0, 0 = -5*m - 5*y + 2*y + 41. Calculate the highest common factor of 63 and m.
7
Suppose -210 = -4*n - 5*h, 4*h - 49 = 4*n - 241. Suppose -1 = -w + 9. What is the greatest common divisor of n and w?
10
Let p(v) = 3 - 5 - 5*v + 6*v + 2*v**2 + v. Let i be p(-3). Calculate the greatest common factor of i and 15.
5
Let o(f) = -f**2 - 4*f - 4. Let j be o(-3). Let i(b) = 4*b - 1. Let q be i(j). Let a be (2 - 2 - q) + 2. What is the greatest common divisor of a and 7?
7
Suppose 1 = w - 3. Suppose 0*p + 5*s - 56 = -w*p, 4*p + 4*s - 60 = 0. Calculate the greatest common factor of p and 19.
19
Suppose -9*i + 1155 = 2*i. What is the greatest common divisor of 35 and i?
35
Suppose -p - 10 = -5*z, 5*z - 3*p + 0*p = 20. What is the greatest common factor of z and 2?
1
Suppose 0 = -7*f + 3*f + 36. Suppose 0 = 4*b - f*b + 65. What is the greatest common divisor of 13 and b?
13
Let p = 22 + -7. Suppose 0 = -2*v - v + 135. Calculate the greatest common factor of v and p.
15
Suppose -19 = -4*j + 1. Suppose v - 4*n - 20 = 0, 5*v - 2*v = -4*n - 4. Suppose -v*b = -3*b - 20. Calculate the highest common factor of b and j.
5
Let i be ((-6)/24)/(2/(-8)). Let s(d) be the first derivative of 15*d**4/2 + d**2/2 - d + 1. Let w be s(i). Calculate the greatest common factor of w and 12.
6
Let o be (-2)/(-8) + 77/28. Calculate the highest common factor of o and 6.
3
Suppose -3*j + 74 + 136 = 0. What is the greatest common divisor of j and 14?
14
Suppose -3*f + s + 55 = -4*s, 4*s + 8 = 0. Calculate the greatest common divisor of f and 15.
15
Suppose 2*z - 20 = -0*z. Suppose 0 = 3*v - d - 30, -v + 2*d + z = -3*d. What is the highest common factor of 10 and v?
10
Suppose -g - 2*b = -3*b + 2, 3*b = -2*g + 11. Let z = g - -7. Let u(i) = i**3 - i**2 + 2*i - 4. Let v be u(3). What is the greatest common factor of z and v?
4
Let g(x) = x**3 + 3*x**2 - 6*x - 4. Let k be g(-4). Suppose 0 = -5*r + v + 2*v + 70, k = -r - 3*v. What is the highest common factor of 121 and r?
11
Let c be -1 - 1 - (-21 + -4). Suppose 0 = 4*y + u - 185, y + 2*u - 6 = 42. What is the highest common divisor of c and y?
23
Let y = 27 + -17. Let b be y/1*(19 - 17). Let c be (-5)/((-10)/4 - -2). Calculate the greatest common divisor of c and b.
10
Suppose -12 = -2*z - k - k, -8 = 2*k. Suppose -4*a = y - 98, 6*a - 4*a = -4*y + 42. What is the highest common divisor of a and z?
5
Let y = 209 - 101. Suppose 3*r + y = 2*g, -5*g + 5*r = -2*g - 160. What is the highest common factor of 12 and g?
12
Let y = -41 + 84. Suppose -13 + y = 3*f. Suppose -3*z + 110 = 3*x - 100, -z = -4*x + 280. Calculate the greatest common factor of x and f.
10
Suppose 2*b - 15 = 4*i - 93, 0 = -5*b - 25. Calculate the greatest common factor of 119 and i.
17
Let t = 5 - 1. Let r(m) = 2*m**3 + 3*m - 3. Let z be r(t). Suppose 3*w = z + 79. Calculate the greatest common divisor of w and 9.
9
Suppose m - 24 = 12. Suppose -m = -5*w + w. Suppose -199 = -5*k + 161. What is the highest common factor of k and w?
9
Suppose -6 - 20 = -2*g. Let a = g - 10. What is the greatest common factor of 6 and a?
3
Suppose 10 = -5*v - 15. Let s(o) = -8*o + 5. Let w be s(-6). Let a = w + v. What is the greatest common divisor of a and 12?
12
Let a = -15 + 26. Let d(m) = 4*m**3 + 5*m + 5*m - 10*m**2 - 3*m**3 - 12. Let w be d(10). What is the greatest common divisor of w and a?
11
Suppose 0 = 5*k + x - 30 - 13, -4*x + 10 = 2*k. Calculate the greatest common factor of k and 9.
9
Let k = 10 - 1. Let w = -1 + k. Let r(n) = 3*n**2 - 22*n + 8. Let t be r(10). Calculate the highest common divisor of t and w.
8
Let g(c) = 4*c**2 - c. Suppose -b - 2*b = -9. Suppose -5*u + 2 = -b*u. Let r be g(u). Calculate the greatest common factor of 21 and r.
3
Let j(l) = -l**2 + 15*l + 14. Let q be j(11). What is the highest common divisor of 464 and q?
58
Let t = 100 - 87. Calculate the greatest common factor of t and 39.
13
Suppose 2*u + 0*i + 4*i = 0, u = 2*i - 4. Let w be u/(-8) - 69/(-12). What is the greatest common factor of w and 48?
6
Let g be (1 - (-107)/(-2))*-2. Let d = g - 70. Calculate the highest common divisor of d and 7.
7
Let i be ((-10)/4)/(7/(-14)). Suppose -f - 10 = -i*p, -4*f - 6 = 2*p - 32. What is the greatest common factor of 40 and f?
5
Let w = 89 - 45. Calculate the greatest common factor of 11 and w.
11
Let g(o) = -o**3 + o**2 + 2. Let r be g(0). Let c = 27 - 24. What is the greatest common factor of c and r?
1
Let k(b) = 4*b - 6. Let v be k(5). Let z = 257 + -131. Calculate the highest common divisor of v and z.
14
Suppose x - 20 = q, -3*q - 40 = -2*x + 2. Let d(s) = s**3 - 2*s**2 - 2*s + 3. Let u be d(3). What is the highest common factor of x and u?
6
Let v(h) be the third derivative of h**6/120 + 13*h**5/60 + h**4/24 + 19*h**3/6 - 8*h**2. Let c be v(-13). What is the greatest common factor of 42 and c?
6
Suppose -3*m - m = -4. Let l = m - -2. Let s be (1 + -1 + -1)/(15/(-135)). Calculate the greatest common divisor of s and l.
3
Let l = 3 + 0. Let w(z) = 3*z + 1. Let t be w(l). Suppose -j = 4*j - t, -3*s = -5*j - 71. What is the highest common factor of s and 9?
9
Let o = -16 + 22. Suppose 4*j = 2*p + 10, -o*j + 13 = -p - 2*j. What is the greatest common divisor of 27 and p?
3
Suppose 0 = -9*k + 4*k + 180. Suppose p - k = -p. What is the greatest common divisor of p and 144?
18
Let i be -1*(-1 + -1)*7/2. Calculate the highest common divisor of i and 2.
1
Suppose -2*f - y - 7 = 0, -f + 24 = -6*y + y. Let t be (3 + -4)*(f - 21). Calculate the highest common divisor of t and 11.
11
Let j(q) = 7*q**2 - 4*q - 6. Let d be j(-4). Suppose 2*f - d = -4*b, -b + 0*f = -f - 23. Calculate the greatest common divisor of b and 4.
4
Let q(n) = -n**2 + n + 12. Let p be q(0). Suppose p = 2*t - 10. What is the greatest common factor of t and 77?
11
Suppose -5*w = -148 - 52. What is the greatest common divisor of 16 and w?
8
Suppose 7 = t - 33. Let h(u) = u**2 + 4*u + 3. Let r be h(-5). Calculate the highest common divisor of t and r.
8
Let p(d) = d + 6. Let j(h) = -1 + 8 + h + 0. Let f(w) = 4*j(w) - 3*p(w). Let a be f(-6). What is the greatest common divisor of a and 16?
4
Suppose 0 = -l - 4*l - 5. Let j = 3 + l. Let t be -2 + (j + 10 - 2). Calculate the greatest common factor of t and 8.
8
Let b be 0 + -4 - (2 - 8). Calculate the greatest common divisor of b and 22.
2
Let g be -2 + 2 - (-37 + 1). What is the greatest common divisor of 6 and g?
6
Suppose 0 = 4*k + 12, -1 = -o - 4*o + 2*k. Let f be ((-9)/6 - o)*-82. Let q = 7 + f. Calculate the highest common factor of q and 12.
12
Let o be (88/(-5))/((-2)/10). Let h be (-2)/((-3)/(-4) - 1). Calculate the greatest common factor of h and o.
8
Let m = -7 + 12. Suppose 0 = -3*r + m*d + 12, 2*d + 20 = 3*r + 2*r. Calculate the highest common divisor of 16 and r.
4
Let u(x) be the first derivative of 2*x**4 + 1/2*x**2 - 3 + 0*x - 1/3*x**3. Let y be u(1). What is the greatest common factor of y and 64?
8
Suppose y = -y + 22. Suppose 4*t - 6*t - 163 = -3*q, q - 50 = 5*t. Calculate the greatest common divisor of y and q.
11
Let j be (-1 + 4 - 2) + 19. Suppose -2*k - 44 = -4*c + 3*k