
Suppose -f + 31 = -t + 2*t, 0 = -5*t - 2*f + 146. Suppose 3*i = i + 256. Suppose -3*g = -i - 82. What is the highest common divisor of g and t?
14
Suppose -3*j - 5*i = -46, 3*j - j = -3*i + 30. Let q = -51 - -135. Calculate the highest common divisor of j and q.
12
Suppose -4*d + 1112 = -4*h, 2*d + 0*h - 554 = 4*h. Calculate the highest common factor of d and 31.
31
Suppose -5*y + v = -813, -y = -3*y - 4*v + 312. What is the greatest common factor of 18 and y?
18
Let i(x) = 58*x + 7. Let o be i(5). Calculate the greatest common factor of o and 27.
27
Let i(z) = z**2 - 11*z + 0*z + 12 + 0. Let a be (-1 + (-2)/((-8)/14))*4. Let n be i(a). What is the highest common divisor of 4 and n?
2
Let o = 10 - 5. Let c = o - -85. Let p be (-2)/4 + 21/2. What is the greatest common divisor of p and c?
10
Let o = 10 - -1. Let b = -51 + 150. What is the greatest common factor of b and o?
11
Suppose -3*p = -3*i + 27, -4*i + 18 = -3*p - 16. Let n(f) = 76*f**3 + 1. Let r be n(1). Calculate the greatest common factor of i and r.
7
Let q = -12 - -18. Suppose q*c - c = 15. Suppose 0 = -c*u + 3 + 9. Calculate the highest common factor of 20 and u.
4
Let v be (-1)/(-4) + 118/8. Suppose 2*m - 13 - v = 0. Suppose 222 = 4*o + s, 5*s - s - 216 = -4*o. Calculate the greatest common factor of o and m.
14
Let t = 37 + -19. What is the greatest common factor of 36 and t?
18
Let d be (6 + -96)/(-1*2). Let w be -4 + 0 - d/(-3). Suppose 2*q + 94 = 2*m, -m + 2*q + 53 = -q. Calculate the highest common factor of w and m.
11
Suppose 0 = 3*s - 29 - 25. Suppose 5*g - 7*g + s = 0. What is the highest common factor of 3 and g?
3
Suppose -3*r + 324 = -0*r. Calculate the highest common factor of r and 12.
12
Suppose -4*q = 3*y - 14, 4*q - 6 = -2*y + 6. Let n(m) = 3*m**2 - q*m - 1 - m + 4*m**2 + 4. Let r be n(2). What is the highest common divisor of 275 and r?
25
Let f = -5 - -8. Suppose 0 = -2*g + 3*t + 7, -4*g = -f*t - 30 + 7. What is the greatest common factor of g and 72?
8
Suppose -w - 4*w + 86 = -4*v, 0 = 5*w + 3*v - 58. Suppose -5*c + 26 = t, -7*c - 4*t + w = -2*c. Calculate the greatest common divisor of 24 and c.
6
Let o(t) = t**2 - t - 4. Let j be o(3). Suppose j*n = 3 + 5. Suppose -n*z + 73 + 33 = 5*d, 5*z - 116 = 2*d. What is the highest common divisor of z and 4?
4
Suppose 3*c - 5 = -2, 0 = -5*d + 4*c + 76. Suppose -25 = -6*w + w. Suppose 0 = -w*h + 722 - 242. Calculate the greatest common divisor of d and h.
16
Suppose 2*h + 0*t = -2*t + 352, -h + t = -166. Calculate the highest common divisor of 19 and h.
19
Suppose y + 69 = 2*y. Let n be 0 - (-1 + 0 - y). Suppose 0 = 4*h - b - 45, 50 = 4*h - h - 4*b. Calculate the highest common divisor of n and h.
10
Suppose 0 = 2*d + 6, -7*d = 2*s - 3*d - 48. Suppose s = 5*x - y, 0 = -2*x - 3*y - 2*y + 39. Calculate the highest common divisor of x and 1.
1
Let f(b) = -b**3 - 2*b + 3*b - 1 - b**2 + 5*b**2. Let y be f(4). Suppose -350 = -5*d + 4*g, -y*g - g + 46 = d. Calculate the greatest common divisor of 6 and d.
6
Suppose -5*v + 42 + 28 = 0. What is the greatest common divisor of 112 and v?
14
Let w = 10 - 6. Let o(b) = -b**2 - 41*b + 133. Let v be o(-44). What is the highest common divisor of v and w?
1
Suppose 0*o + 30 = o. Let g be 15/((o/4)/5). Suppose -a + g = 4*a + 4*m, -2*a + 4 = -m. Calculate the greatest common factor of a and 2.
2
Let a(c) = 4*c. Let v be a(7). Suppose -17 = -3*k - 4*q, 0 = 2*k + 3*q - 2 - 9. Calculate the highest common divisor of k and v.
7
Suppose -2*v + 9 = -7. Suppose 0 = -3*q + v - 44. Let j be 3/18 + (-166)/q. Calculate the highest common divisor of 56 and j.
14
Suppose -m + 5 = -6. Suppose -31 - m = -3*l. What is the highest common divisor of l and 70?
14
Let l(b) = -b**2 - 7*b - 5. Let c be l(-6). Let n = 292 + -195. Let p = n - c. What is the greatest common factor of p and 12?
12
Let t(c) = -21*c. Let k be t(-4). Suppose -6*p + 60 = -p. Suppose f - p + 0 = 0. Calculate the greatest common factor of k and f.
12
Suppose -d = -2*d + 3*f + 11, -4*f = 8. Suppose -q + v + 5 = -d, 2*v + 65 = 5*q. What is the greatest common factor of q and 15?
15
Let t(b) = -b**3 - b**2 - 2*b + 13. Suppose u + 2*u = 0. Let r be t(u). What is the greatest common divisor of 39 and r?
13
Let h = 0 - 0. Suppose 2*c + 1 - 19 = h. Calculate the highest common factor of 6 and c.
3
Let f be (-4108)/(-18) - (-10)/(-45). Let g = f + -144. What is the highest common divisor of g and 12?
12
Suppose -3*z - 3*g + 63 = 0, 2*g = z - 0*z - 21. What is the greatest common divisor of z and 189?
21
Suppose 0 = 2*v - 5 + 1. Suppose -2*i = -7*i + v*n + 108, -4*n = i - 4. Let s = -52 - -57. Calculate the greatest common factor of i and s.
5
Let q be 9/(-15) + (-69)/(-15). Calculate the highest common factor of 1 and q.
1
Let w(u) = -u**3 + 8*u**2 - 3*u + 8. Let r be w(5). What is the greatest common divisor of 170 and r?
34
Let g(l) = 2*l**2 + 2*l - 2. Suppose -2*n - 7 = -3. Let m be g(n). Suppose 55 = m*c - 11. Calculate the greatest common divisor of c and 11.
11
Let a = 91 + -74. Calculate the greatest common factor of a and 170.
17
Let z = 7 - 7. Let i = 9 - z. What is the highest common divisor of 63 and i?
9
Let y be 1 + 12 - (2 + -1). Let z(x) = -3*x + 9. Let q be z(-3). Calculate the greatest common divisor of q and y.
6
Suppose 0*q - 2 = -q. Suppose 2*x = 4*u - 40, 4*x = 4*u - q*u - 8. Calculate the highest common divisor of u and 108.
12
Suppose -j = 4*u - 14, -3*j - u = -75 - 11. Calculate the greatest common factor of 270 and j.
30
Suppose 0 = 2*l + 9 - 35. Calculate the highest common divisor of l and 52.
13
Let s = -72 - -46. Let z = s + 51. Calculate the highest common divisor of z and 5.
5
Let x be (4 + (-2)/(-3))/(1/3). Let p be (-1)/(1/284*2). Let d = -100 - p. Calculate the greatest common divisor of x and d.
14
Let o = -21 - -23. Suppose 0 = -v - o, -2*q + 178 = q - 5*v. Calculate the highest common divisor of q and 7.
7
Let t(u) = -8*u + 2. Let n be t(-11). Calculate the greatest common factor of n and 10.
10
Suppose m - 5*k = 145, -3*m + 621 = 2*m + k. Calculate the highest common factor of m and 50.
25
Let j = 39 - 23. Let p = 30 - j. Calculate the highest common factor of p and 126.
14
Let t be (-2)/5 - (-14)/10. Let i = 1 + t. Suppose -2*h = -i*b + 20, -5*b + 3*b + 3*h = -23. What is the highest common divisor of b and 7?
7
Suppose 2*h = -12 + 50. What is the greatest common factor of 76 and h?
19
Let i = -7 + 9. Suppose 330 = n + i*n. What is the greatest common factor of n and 10?
10
Let w(y) = y**2 - 2*y + 8. Let v be w(8). Let i = 36 - 16. Let m = -6 + i. What is the highest common divisor of v and m?
14
Suppose 4*u + 60 = -2*u. Let q be (-1432)/(-36) + u/(-45). Calculate the highest common factor of q and 100.
20
Suppose -n - 2*n = 0. Let z be n*(-2)/(-18)*3. Let f(c) = -c**2 + c + 36. Let q be f(z). What is the highest common divisor of 24 and q?
12
Let m be (-2 - 3)*3/(-3). Suppose 0 = -m*r + 14 + 21. Calculate the highest common factor of 49 and r.
7
Let d(v) = v**3 + 12*v**2 - v + 15. Let o be d(-12). What is the highest common factor of o and 18?
9
Let x = 197 - 64. Let y = -10 + 15. Suppose -51 = -y*l + 44. What is the greatest common divisor of x and l?
19
Suppose 2*r = 8 + 2. Let f be (0 - (-1)/(-2))*-18. Suppose 0 = -0*o - 3*o + a, f = 3*a. Calculate the highest common factor of o and r.
1
Let j(q) = q**2 + 3*q - 2. Suppose 29 = -4*l - t, t = 5*l + 5 + 20. Let b be j(l). Let o be (15 - 7)/(1/22). Calculate the highest common divisor of o and b.
16
Suppose -5*i = -2*i - 12. Suppose -i*g + 73 = -59. What is the greatest common divisor of 11 and g?
11
Let q = -83 - -46. Let z = q + 121. Calculate the greatest common divisor of z and 12.
12
Let l(o) = -o**3 - 15*o**2 - 12*o + 18. Let m be l(-14). Let r = 37 + m. Calculate the greatest common factor of r and 27.
27
Let k be (12/(-8))/(3/(-8)). Suppose -5*a = 5*y - 210, k*a + 2*y + 1 = 163. What is the greatest common divisor of a and 13?
13
Let n(v) = 3*v**2 + 20*v + 7. Let r be n(-8). Calculate the highest common divisor of r and 13.
13
Let k be 2/(-4 + 3/1). Let a be k - -1 - (0 + 1). Let w be a/(-7) + 178/14. Calculate the greatest common factor of 65 and w.
13
Let q be 8/(-32) - (-46)/(-16)*-6. Suppose 5*h - 92 + 7 = 0. Calculate the greatest common