
Suppose 7 = -5*q + 3*u, 5*q + 5*u = 4*q - 7. Let k be 6 + (q - 3) - -36. Suppose k*g - 32*g - 120 = 0. What is the highest common divisor of g and 60?
12
Let p(a) = 15*a - 102. Let j be p(-26). Let d = j - -892. Calculate the highest common divisor of d and 50.
50
Let t(p) = 4*p**3 + p**2 - 33*p + 15. Let z(a) = -a**3 + a**2 + 2*a. Let v(k) = -t(k) - 6*z(k). Let u be v(7). What is the greatest common factor of u and 38?
19
Suppose 24*t = 7*t + 75021 + 35445. Calculate the highest common factor of t and 36.
18
Let l = -2 + 6. Suppose -l*u = -3*u - 10. Suppose 29*p - 46 - 1259 = 0. Calculate the greatest common divisor of p and u.
5
Suppose 0 = 3*z + 15 - 45. Let v(m) = -24*m - 514. Let f be v(-41). Calculate the highest common factor of z and f.
10
Let q be 279/186*(2 - -4). What is the greatest common factor of q and 1089?
9
Suppose 0 = 2*d - 3*s - 198, 1324*s - 1329*s - 299 = -3*d. What is the greatest common factor of d and 2759?
31
Let a = 11134 + -10357. What is the highest common factor of 3219 and a?
111
Let l = -3475 + 3860. What is the highest common divisor of l and 825?
55
Let g(j) = 4*j + 16. Let c be g(10). Suppose -28*a = -29*a + c. Let x = -24 + a. Calculate the highest common divisor of 24 and x.
8
Suppose -3*f = -2*z + 110, 4*f = 2*z + z - 166. Let o = z + -56. Suppose 0 = -4*t - 8, -4*n + o*n + 554 = -2*t. What is the greatest common factor of 25 and n?
25
Suppose 0 = 2*q + 36 - 28. Let d be (-5 - q - 1) + 7 + 0. What is the greatest common divisor of 80 and d?
5
Let v(g) = g**3 - 5*g**2 - 4*g + 2. Let p be v(-4). Let h = p - -196. Suppose 0 = 2*s - h - 10. What is the highest common divisor of 16 and s?
8
Let b(h) = 221*h**2 + 16*h - 20. Let j be b(4). Let o = j - 1564. What is the highest common divisor of o and 12?
12
Suppose -102*t = -t - 8484. What is the highest common divisor of t and 462?
42
Suppose 15*i = 2*i + 39. Suppose s - 37*m - 24 = -42*m, -i*m + 28 = 4*s. Calculate the highest common factor of s and 58.
2
Suppose -8740 = -145*s + 20910 + 16750. Calculate the greatest common factor of s and 350.
10
Let q(r) = -1123*r - 1665. Let b be q(-2). Calculate the greatest common factor of 3071 and b.
83
Suppose -59*y + 61*y - 176 = 0. Let t = y - 43. Calculate the highest common factor of 18 and t.
9
Let m(u) = u**2 - 93*u - 984. Let w be m(-11). Suppose 0*f - 95 = -5*f - i, -4*f + 85 = -i. Calculate the highest common factor of f and w.
20
Suppose -l = -5*h + 210, -l = -3*l + 3*h - 406. Let m be ((-33)/4)/(75/l). Calculate the highest common divisor of m and 55.
11
Let v = 9735 - 9722. What is the greatest common divisor of 49699 and v?
13
Let m(u) = -u**2 - 50*u - 290. Let v be m(-19). Let y = 43 + 9. Calculate the highest common divisor of v and y.
13
Suppose x + 500 = -2*y + 5*y, 0 = -y + 3*x + 156. Let s be y/(-91) - (-2)/(-13). Let j be 21/(1 - (s - -2)). What is the highest common divisor of 3 and j?
3
Let s(o) = -510*o + 1026. Let b be s(2). Let d = 291 - 36. Suppose -d = -3*z + 3*a, b*z + a = z + 395. What is the greatest common divisor of 10 and z?
10
Let x be (2/3)/(12/(-3258)). Let g be 2/(-12) - x/6. Calculate the greatest common factor of g and 6.
6
Let k(r) = r**3 - 9*r**2 + 10*r - 93. Let g be k(11). Suppose -5*a = 8*m - 10*m - g, 0 = a - 2*m - 55. What is the highest common factor of a and 6?
3
Suppose -4*x = 2*w - 390, -4*x + 31 + 364 = w. Let q be 1 - ((-3)/(-6))/(-1 - (-111)/114). Calculate the highest common divisor of x and q.
20
Suppose 0 = 5*c + 25, -2*u + u + 24 = c. Let q = u + -29. Suppose -4*n + 97 - 1 = 4*b, 4*b - n - 96 = q. Calculate the highest common divisor of 16 and b.
8
Let i = -498 + 507. Let v = 86 - 56. Suppose -8*m - v = -i*m. What is the highest common factor of m and 6?
6
Let x = 94 + -94. Suppose -4*d - 4 + 20 = x, w + 2*d = 54. Let y be (-226)/(-10) + (-4)/(-10). What is the greatest common factor of w and y?
23
Suppose -255*x + 13156 = -253*x + 4*o, 0 = -3*x + 2*o + 19766. What is the highest common divisor of x and 148?
74
Let z(q) = q**2 - 8*q - 57. Let w be z(13). Let a be -2 - (w/(-52) + 882/(-13)). Suppose 74 = 7*b - a. What is the highest common factor of 50 and b?
10
Suppose 0 = u - 2*m - 27, u - 4*m - m - 27 = 0. Let n = -22 + u. Suppose -n*i + 6*i = 128. Calculate the greatest common factor of 16 and i.
16
Suppose 5*f = -15, 12*q - 28 = 11*q + f. Calculate the greatest common divisor of q and 895.
5
Let j be 1200/24 + (-3)/6*10. What is the greatest common factor of j and 60?
15
Let x(l) = -2192*l - 236. Let s be x(-2). What is the highest common factor of s and 68?
68
Let h(t) = 4*t - 3. Let o be h(1). Let n = 42 + o. Let q = 88 - n. What is the greatest common divisor of q and 15?
15
Let k = 291 - -291. Let f = 820 - k. Calculate the greatest common divisor of 136 and f.
34
Let h = 5352 + -5301. What is the highest common factor of h and 204?
51
Let k be (-15)/(((-14)/(-35))/(8/(-5))). What is the highest common divisor of 612 and k?
12
Suppose 135 = -4*i + 9*i. Let d(l) = -l**3 + 101*l**2 - 2414*l - 131. Let f be d(62). Calculate the highest common factor of i and f.
9
Suppose -k = -3*p - 131, -207*k + 206*k = -5*p - 139. Calculate the highest common factor of k and 17.
17
Suppose -305 = -5*n - 10. Suppose -n*c + 15*c = -352. What is the greatest common divisor of c and 472?
8
Let u be (190/57)/((-4)/6). Let h(x) = x**2 - 2*x - 14. Let b be h(u). Calculate the greatest common divisor of b and 336.
21
Let y = 168 - 163. Suppose 4*x + 4*s + 12 = 76, 0 = y*x - 2*s - 52. Calculate the highest common divisor of x and 108.
12
Suppose -5*o = 5*o - 280. Let z = -15 + 22. Suppose 3*d = 4*b + z*d + 4, 3*b = -4*d - 8. What is the highest common divisor of b and o?
4
Let b(i) = -i**2 + 433*i - 5044. Let t be b(12). Calculate the highest common factor of 1920 and t.
8
Let j = -411 - -1014. Suppose j = -4*p - 1089. Let c = 613 + p. What is the greatest common divisor of 76 and c?
38
Let f(v) = v**2 + 13*v - 178. Let l be f(-26). What is the highest common divisor of 190 and l?
10
Let j = 808 + -569. Let m = j + -50. Suppose 56*p = 59*p - m. What is the greatest common factor of 84 and p?
21
Suppose -o + 2*y - 47 = -231, 4*o + 5*y - 788 = 0. Suppose 12*m = -0*m + o. Calculate the highest common divisor of m and 208.
16
Suppose -f = 7 - 24. Suppose 0*k - 5*u = -k + f, -3*u - 85 = -4*k. What is the highest common divisor of k and 198?
22
Let d = 2537 - 1856. Calculate the greatest common divisor of d and 9.
3
Let o(z) = -31*z + 46. Let w be o(-24). Suppose 46*b - w = -192. Calculate the highest common factor of 221 and b.
13
Let t(s) = -s**3 + 73*s**2 - 213*s + 9. Let a be t(67). Calculate the greatest common divisor of 22 and a.
22
Suppose d - 324 = -3*k + 1, -329 = -3*k - 2*d. Let b = k + -94. Calculate the highest common factor of 325 and b.
13
Let u(j) = j**3 + 6*j**2 - 1 - 3 - 2*j**3. Let v be u(4). Let h be 5/3*189*(-1)/(-45). What is the greatest common factor of h and v?
7
Let a(z) = 2*z**3 + 18*z**2 - 43*z + 11. Let n be a(-11). Let i be -65*(-3)/3 - (n + -1). What is the greatest common factor of 12 and i?
6
Let v(r) = -73*r**2 + 6*r - 11. Let n be v(3). Let f = n + 914. What is the greatest common divisor of f and 33?
33
Let b be (20/((-6)/3))/((-765)/12852). Calculate the greatest common divisor of b and 312.
24
Suppose -10*d + 11*d - 2*k - 66 = 0, 3*d - 3*k = 186. Let r = 80 - d. Calculate the highest common factor of r and 792.
22
Suppose 0 = i, -81*j - 3584 = -85*j + i. Calculate the greatest common divisor of 168 and j.
56
Let w be -1*(-3 + (-3 - 61)). Let o = w - 65. Let d be 1 + 7 - (o + (-4 - -2)). What is the highest common factor of d and 16?
8
Suppose -66*o + 5236 = -32*o. Let i be 42 + 5/1 + -3. Calculate the greatest common factor of i and o.
22
Suppose r + 1331 = 3*n - 1212, -1717 = -2*n + 5*r. What is the greatest common divisor of n and 18?
18
Let m be (4/6)/(6/72). Suppose 2 + 18 = 4*t. Let y be (m - t) + 27 + 0. What is the highest common divisor of y and 330?
30
Let x be 189/((-9)/21 - 170/(-119)). Calculate the greatest common factor of x and 9882.
27
Let b be 3 + 3/1 + 2. Let g be 28*(30/b - 3). Suppose a - 4*p - 243 = 0, 68*a = 71*a + 2*p - 687. What is the greatest common factor of a and g?
21
Let b(q) = -6*q + 429. Let w be b(0). Let j = 486