3*x = 31*b - 62. Suppose 0 = -5*p + i + 27, 3*p - 4*i - 20 = 3. Calculate the highest common factor of p and b.
5
Suppose 24*u + 313 - 6865 = 0. Let a(b) = -9*b + 3. Let p be a(-4). Calculate the greatest common factor of p and u.
39
Let p = 188 - -306. What is the highest common factor of p and 57?
19
Let n(z) = 74*z - 26. Let v be n(1). What is the greatest common divisor of 1272 and v?
24
Let a(k) = -k**2 - 7*k + 10. Let s be a(-8). Suppose -3*d = s*f - 19, -d = 4*f - 9 - 4. What is the highest common factor of 35 and d?
5
Let k = -18 - -27. Let u = k - 8. Suppose -h + 2 = -0*h. What is the highest common divisor of h and u?
1
Suppose 5*j + p + 187 = 1024, 0 = -3*j - p + 501. What is the highest common divisor of 56 and j?
56
Let b(i) = i**2 - 7*i - 154. Let n be b(-13). What is the greatest common factor of 159 and n?
53
Let p(t) = 41*t - 418. Let w be p(14). Calculate the highest common divisor of w and 204.
12
Let d(z) = 17*z - 27. Let t be d(9). Let x = -106 + t. What is the greatest common divisor of x and 50?
10
Let j(n) = 1 - 2*n**2 - 5 + n + 5. Let p be j(1). Suppose p = 4*b - 21 - 59. What is the highest common factor of b and 4?
4
Suppose 165 = -4*j - 3*y, -4*j + 0*j + 4*y - 172 = 0. Let u be (-28)/j - 148/(-3). Calculate the highest common factor of 30 and u.
10
Suppose 42 = -0*d - 3*d. Let b = d + 38. Suppose -3*t + 3*z = -z - 72, t + 3*z = b. Calculate the greatest common factor of t and 3.
3
Let f(v) = -v**3 + 8*v**2 + 4*v + 16. Let u be f(9). Let s = u + 40. Let l = -3 + 4. What is the highest common factor of l and s?
1
Let m = -11 + -4. Let k be m/6*(-8)/10. Suppose -k*d + 3*d = 52. Calculate the highest common factor of d and 13.
13
Let m = -123 + 591. Calculate the greatest common factor of m and 117.
117
Let y(s) = s**2 - 3*s. Suppose 5*m + 3*o - 4*o = 21, 5*o + 21 = 4*m. Suppose m*i = 2*i + 14. Let h be y(i). What is the greatest common factor of h and 224?
28
Suppose 4*h - 2*g - g = 72, -h = 3*g - 3. Let b be -1*(-6)/(4 - 2). Suppose b*c - 7 = 2*z, -4*c - z - z + 28 = 0. What is the greatest common factor of c and h?
5
Suppose -3*k = 4*q - 156, 2*k + 17 = -4*q + 169. What is the greatest common divisor of 684 and q?
36
Let s = -16 + 19. Suppose s*p + 9 = -0*p. Let c = p + 23. Calculate the greatest common divisor of 50 and c.
10
Let o(u) = u**3 - 2*u**2 - 6*u + 3. Let v be o(4). Suppose 4*z - 8 = 4. Let t = v - z. Calculate the highest common factor of t and 4.
4
Let s = 13 - -32. Let b be (-57)/(-12) - 4/(-16). Suppose 0 = b*o - 19 - 26. What is the highest common divisor of o and s?
9
Suppose -4*v = 3*s + 10, 5*s = -v + 5*v + 26. Suppose -5*l + 2*l = 264. Let g be ((-1)/s)/(4/l). What is the highest common divisor of g and 1?
1
Suppose -5*u + 5 + 32 = -3*k, 2*k + 14 = 2*u. Calculate the highest common factor of 52 and u.
4
Let m = -141 - -98. Let l = 71 + m. Let k = 465 + -269. Calculate the greatest common factor of l and k.
28
Suppose -2*b - 55 = 19. Let w = b - -60. Suppose 4*n = 1070 - 426. Calculate the highest common factor of w and n.
23
Let b = 55 + 65. Calculate the highest common divisor of b and 64.
8
Let j be 6/33 - 159/(-33). Suppose 4*i - 81 = -j*r, -5*r - 2 = -2*i + 1. What is the highest common factor of i and 98?
14
Let n(l) be the first derivative of 1/3*l**3 + 7*l - 5 - 7/2*l**2. Let a be n(6). Calculate the greatest common divisor of 1 and a.
1
Let j = -73 - -57. Let n be 1 + 2 - (11 + j). Let q = 16 + -4. Calculate the greatest common divisor of q and n.
4
Suppose v + 0*v = 1. Let h(b) = -10*b**3 + 2*b**2 - 2*b + 1. Let k be h(v). Let d be ((-16)/(-3))/((-6)/k). What is the greatest common factor of d and 32?
8
Suppose -2*d + 2*u + 30 = 0, -2*d + 5*u + 9 = -24. Calculate the greatest common divisor of 1022 and d.
14
Suppose 8*a - 10*a + 120 = 0. Suppose a + 10 = 5*u. Let g = 2 + 5. What is the highest common factor of g and u?
7
Let n be 638/(-8)*4/(-1). Suppose -4*l = 4*w - 96, 0 = 2*w - 0*l - 3*l - 73. Calculate the greatest common factor of w and n.
29
Suppose 18408 = 15*v - 3*v. Calculate the highest common divisor of v and 26.
26
Suppose 12*k = 73 - 25. Let r = -22 + 26. Calculate the greatest common divisor of k and r.
4
Let z(m) = m**3 - 7*m**2 - 2*m + 8. Let b be z(7). Let o be b/(-15) + (-38)/(-5). What is the greatest common factor of o and 1?
1
Suppose -85*u - 70 = -90*u. Calculate the greatest common factor of 364 and u.
14
Let q = 5 - 1. Suppose -t + 3*a - 1 = 5, -3*t - 54 = 3*a. Let c be t/(-5) - (-1 + 3). What is the greatest common factor of q and c?
1
Let q = 358 + -86. Calculate the highest common divisor of 51 and q.
17
Let o = 2497 + -2437. What is the highest common factor of o and 96?
12
Let m be (11/(-2))/(9/(-414)). Suppose -j + 23 = -0*j. What is the highest common factor of m and j?
23
Let i be 237*2/3*-1. Let b = i - -239. Calculate the highest common factor of 54 and b.
27
Let n be -18*(80/(-30))/(1 - 2). Let f = n - -55. What is the greatest common factor of f and 21?
7
Let u be 1/((-2)/2*(-3)/213). Let y = u + 9. Let z = 9 + 1. What is the highest common factor of z and y?
10
Let q(y) = -y**2 - 13*y - 6. Let t be q(-11). Let v = t - 12. Suppose -15 = -r - d, v*d - 48 = -0*r - 3*r. Calculate the highest common factor of 6 and r.
6
Let h = -80 - -111. Let t = h + -4. What is the highest common factor of 216 and t?
27
Let d(f) = f**2 + 2*f + 1. Let v be d(-3). Suppose 0 = -2*h - 2*h - v*y + 48, 15 = h + 2*y. Calculate the highest common divisor of h and 9.
9
Let q = 1172 + -1116. Suppose -2*u = 2*u. Let m be (2 - 0 - u)*4. What is the greatest common divisor of q and m?
8
Suppose 164*r - 148*r = 15088. What is the greatest common divisor of r and 23?
23
Let q = 6 - 10. Suppose 6*y - y + 270 = 0. Let z = q - y. Calculate the greatest common factor of 20 and z.
10
Suppose 23 = -4*d - u, 2*d + 3*u + 19 = -0*d. Let j be ((-8)/3)/(d + 58/12). What is the highest common factor of j and 4?
4
Suppose 5*c = 78 + 82. Let x = c + -10. What is the highest common factor of 11 and x?
11
Let s = -34 - -20. Let j be 8/56 - 40/s. Suppose j*o - 3*d - 447 = 0, -5*o - 3*d + 741 = -28. Calculate the greatest common factor of o and 19.
19
Let q be (-1)/4 + 3367/28. Let x be (-3 - 0) + 5 + 13. Suppose 0*t + t = x. What is the highest common divisor of q and t?
15
Let y = 10843 - 10756. Let n(d) = d - 4. Let v be n(4). Suppose 4*j - a - 250 + 21 = 0, 5*a - 15 = v. Calculate the highest common divisor of j and y.
29
Suppose -119 = -2*a + 3*c, 3*a = -c - 11 + 173. Let i(u) = -u**3 + 12*u**2 + 4*u - 26. Let d be i(12). Calculate the greatest common factor of a and d.
11
Suppose 92*w - 90*w = 102. What is the highest common factor of 68 and w?
17
Suppose -5*k = 2*t - 3*t + 7, -5*t + 7 = 3*k. Let f(i) = 3*i**3 - i**2 - 2*i + 4. Let z be f(t). Calculate the highest common factor of z and 100.
20
Suppose 5 = 3*i - 10. Suppose -2*o + 0*w - 4*w + 62 = 0, -4*w + 37 = o. What is the greatest common factor of i and o?
5
Suppose -5*o = -0*o + 2*c - 1231, 2*o - c = 496. What is the highest common divisor of o and 13?
13
Suppose 3*l - 4*h = -7*h + 60, 0 = -h + 1. Suppose q - 5*z = 4*q - 71, q = -4*z + l. What is the highest common divisor of 297 and q?
27
Let s = -15 - -5. Let c be (-168)/s*(-6 + 1). Let d = c - -144. What is the highest common factor of d and 24?
12
Let n(j) = 9*j + 28. Let r be n(0). What is the highest common divisor of r and 77?
7
Suppose 5*k + 52 - 277 = 0. Let q = k + 0. Calculate the highest common factor of q and 30.
15
Suppose -2*q = -3*f - 42, 79 = 12*q - 7*q - f. What is the highest common divisor of 465 and q?
15
Suppose 2*p - 3*p + 1320 = 0. Suppose r = -7*r + p. Calculate the greatest common divisor of r and 15.
15
Suppose 64*u = 50*u + 140. Calculate the greatest common factor of 35 and u.
5
Suppose -122 = c - 1013. Suppose t - 12*t + c = 0. What is the greatest common factor of t and 9?
9
Let p = 54 + -5. Let u = p - 42. What is the highest common divisor of 112 and u?
7
Let t(y) = -11*y + y**2 + 0*y**2 + 5*y. Let k be t(8). Suppose 7*c - 4*c + 5*r = 76, 4*r = -k. Calculate the greatest common divisor of 8 and c.
8
Let j(w) = w + 88. Let x = 42 + -62. Let q be j(x). What is the greatest common divisor of 4 and q?
4
Let y(d) = 25*d - 14. Let v be y(1). Suppose -40 = -w + 