pose -5*r = -y*r + 2, -r = m - 6. What is the highest common divisor of 64 and m?
8
Let h be 1/((-112)/116 - -1). Suppose 26*x = h*x - 18. What is the greatest common factor of 54 and x?
6
Let r be ((-93)/15)/((-18)/(-135))*(-3 - -1). Calculate the greatest common factor of r and 16337.
31
Let p(v) = 2*v**2 - 10*v - 24. Let t be p(7). Suppose b = -3*b + 2*y + 54, 0 = -t*b - 3*y + 49. Calculate the highest common factor of 65 and b.
13
Let g = 1049 - 941. Calculate the greatest common factor of g and 135.
27
Let y be 2*(2 - (9 + -12)). Let w be (y/(-22) + 1)/(219/2409). What is the greatest common divisor of w and 102?
6
Suppose 3*g + g = 16. Let t = -83 + 86. Suppose 5*y + 3*x - 384 = -x, -2*y + t*x = -149. Calculate the greatest common factor of y and g.
4
Let n(g) = 5504*g + 2059. Let j be n(4). What is the greatest common factor of j and 150?
75
Let x(y) = -44*y - 69*y + 5*y**2 + 4 - 11 + 92*y. Let a be x(5). Calculate the highest common divisor of a and 156.
13
Let i be (-15)/(-6) - -164*(-6)/(-48). Calculate the greatest common factor of 437 and i.
23
Let m = -1571 - -2611. Calculate the greatest common divisor of 320 and m.
80
Suppose -67*b + 1350 = -6355. Calculate the greatest common divisor of 3749 and b.
23
Let i be 13 + 1*6/30 + (-14 - (-378)/35). Suppose -4*l + 7 = -5. Suppose b = l*b - 70. Calculate the highest common divisor of i and b.
5
Let w(m) = m**3 + 15*m**2 + 13*m + 1. Let q be w(-9). What is the highest common factor of 50 and q?
10
Suppose 49*n = 53*n - 516. Suppose 0 = -4*c + 147 + n. What is the highest common divisor of 46 and c?
23
Let y be 3832/6 + -2 - (-32)/(-48). Suppose -4*f - 3*h + 73 = 2*h, 0 = -5*f + 3*h + 45. Calculate the highest common factor of f and y.
12
Suppose y + 6*y + 693 = 0. Let w be y/2*(-384)/72. Suppose g + 3*s - 2*s = 22, 0 = -5*g + 4*s + 128. Calculate the greatest common factor of w and g.
24
Let d = 9348 - 9319. Calculate the highest common factor of d and 21.
1
Let s(x) = -x**3 - 32*x**2 - 63*x + 54. Let r be s(-30). Suppose 0*a = 2*a - 2*l - 102, -l = -4*a + 213. Calculate the greatest common divisor of r and a.
18
Let v be (-1)/(-2)*(3 - -5). Suppose v = -4*n + 5*n. Suppose -65 = -5*o - 5*x, n = o - 2*x - 9. What is the highest common divisor of 13 and o?
13
Let w be (19/((-76)/(-208)))/2. Calculate the greatest common factor of 2899 and w.
13
Suppose 218*w + 563456 = 376*w + 978*w. Suppose -5*c + d = 18 - 177, -105 = -3*c + 3*d. Calculate the highest common divisor of c and w.
31
Suppose -15*z + 12*z - 5*p + 555 = 0, z - 3*p = 185. Let k = z - 50. Calculate the highest common divisor of k and 315.
45
Let x be (60/(-25))/((-84)/49700). Calculate the highest common factor of 10 and x.
10
Suppose -4*u - 4*q = -6*u + 26, -u + 5*q = -28. Suppose u*n - 365 = n + d, 0 = -4*d - 4. Calculate the greatest common divisor of n and 26.
26
Let p = -32700 + 36011. Calculate the highest common divisor of p and 385.
77
Let q(f) = 3*f**2 + 192*f - 966. Let t be q(5). Calculate the greatest common factor of t and 6141.
69
Let j be (37510/847)/((-2)/(-42)). What is the highest common divisor of j and 225?
15
Let b = -3647 + 5397. Suppose -b + 76 = -6*h. What is the greatest common factor of h and 62?
31
Let z(k) = -12*k + 23*k + 3*k - 4 - 12. Let d be z(2). Let a = -43 + 67. Calculate the highest common factor of d and a.
12
Suppose 4*b - 3*p + 85 = 0, -4*b = -0*b + 5*p + 93. Let c = b - -84. Let y(f) = 113*f - 9738. Let g be y(87). Calculate the highest common divisor of c and g.
31
Let s be ((-25)/15)/((-265)/150414). What is the highest common factor of s and 44?
22
Suppose 2*o + o - 6 = 0. Suppose -o*f - 3*f + 50 = 0. Let h(y) = 16*y**2 + 117*y - 8. Let x be h(-8). What is the highest common factor of f and x?
10
Let i(u) = u**2 + 524*u + 402. Let z be i(0). Calculate the greatest common divisor of 4 and z.
2
Let r be ((-3)/(-4))/(20/(-16) + 1). Let g be (-8 + 3)*(r - (-2 + 52)). What is the greatest common factor of 106 and g?
53
Let y(r) = r**2 + 3*r - 38. Let s be y(5). Suppose -3*n + 193 = z, -5*n + 325 = -z + s*z. Calculate the highest common divisor of n and 363.
33
Let p = 109 - 101. Suppose -10 = t - 4*f, -7 - p = -3*t - 3*f. Calculate the greatest common divisor of t and 50.
2
Let g be (-20)/(-6)*1/(-4)*(-18 - -6). Calculate the highest common factor of g and 226.
2
Let g(c) = 97*c - 1400. Let o be g(27). What is the highest common divisor of o and 424?
53
Let r(l) = -l**3 + 13*l**2 + 17*l - 12. Let x be (4/(-12))/((-3)/693). Let w = 91 - x. Let n be r(w). Calculate the greatest common factor of n and 330.
30
Let y(g) = 46*g**2 + 425*g - 1699. Let t be y(4). What is the highest common factor of t and 2?
1
Suppose 1673*m - 8250 = 1663*m. What is the highest common divisor of 396 and m?
33
Let i(j) = 92*j - 12. Let r be ((-33)/(-9) - -1 - 3)*3. Let x be i(r). What is the highest common divisor of 7 and x?
7
Let d be (3 + 0)*105/90*12278. What is the highest common factor of d and 49?
49
Suppose -4001 = -16*z + 17503. What is the greatest common divisor of 1512 and z?
168
Let v(a) = 33*a**3 + 1622*a**2 + 118*a - 8. Let b be v(-49). What is the greatest common factor of b and 15?
5
Let w = -81 - -76. Let m(s) = -2*s - 33. Let i be m(w). Let p = 95 + i. Calculate the greatest common factor of p and 8.
8
Suppose -94 = -2*a - 18. Let j(b) = b**2 - 21*b - 30. Let o be j(21). Let p = 87 + o. Calculate the highest common divisor of a and p.
19
Let h be (-240)/21 + 9/21. Let p(j) = -2*j**2 - 24*j - 14. Let f be p(h). Calculate the highest common divisor of 10 and f.
2
Suppose -24*t - 295179 = -138*t + 458931. Calculate the highest common divisor of 30 and t.
15
Let i(f) = f**3 + 4*f**2 - 13*f + 68. Let k be i(-10). Let c = 530 + k. Let u(a) = -3*a - 7. Let v be u(-5). What is the greatest common divisor of c and v?
8
Let r(l) be the second derivative of -l**4/6 - 11*l**3/6 + 57*l**2 - 4*l + 11. Let v be r(0). Calculate the highest common factor of 627 and v.
57
Suppose -15*z = -14*z. Suppose i + a = 3*a + 3, z = -2*i + a + 15. Suppose -6 = -2*u - 4. What is the greatest common divisor of u and i?
1
Let v be 4/(20/45)*(-2)/(-6). Suppose -2*c - v*u = -24, 5*c - 7*u = -5*u + 79. Calculate the highest common factor of 65 and c.
5
Let h = 24 + -14. Let c(d) be the third derivative of d**5/30 - 3*d**4/8 - 8*d**3/3 + 31*d**2. Let t be c(8). Calculate the highest common divisor of t and h.
10
Suppose -23762 - 2446 = -12*b - 51*b. What is the highest common factor of b and 936?
104
Let o be ((-1080)/450)/(-1*(-2)/(-75)). What is the greatest common factor of o and 160?
10
Suppose 0 = -10*k - 2*v + 96, 24 = 6*k - 3*k - v. Let i = -82 + 253. Calculate the greatest common factor of k and i.
9
Let l be (-21)/7*(5120/(-15) + 4). What is the highest common factor of l and 414?
46
Let p(l) = -2*l**3 + l**2 + 20. Let t = 124 + -124. Let z be p(t). What is the greatest common divisor of 100 and z?
20
Let k be (-1 - -4)/(1/(-53)). Let b = -93 - k. Suppose -30*r - 198 = -36*r. Calculate the greatest common divisor of b and r.
33
Let u be 12/9*21/1 + 4. Suppose 2016 = -184*b + 193*b. What is the greatest common factor of b and u?
32
Let m(c) = 12*c + 37. Let n be m(14). Suppose -2*y + n = 173. Calculate the greatest common divisor of 48 and y.
16
Suppose 126*y - 1081567 = -17*y + 831058. Calculate the highest common factor of y and 250.
125
Let m be 1 - (1 + -3)*(-2)/2. Let i be (m/2)/((-4)/(-232)). Let j = 31 + i. Calculate the greatest common factor of 8 and j.
2
Suppose 3*c = 3*j - 8*j + 548, -5*c + 2*j + 872 = 0. What is the highest common factor of c and 242?
22
Let q be 110/3*(3 - 0). Let a(r) = 35*r + 322. Let p be a(-9). Suppose -p*b = -11*b + 40. What is the highest common factor of q and b?
10
Let k = 9 - 5. Suppose 4*n = r + 37, -1 + 47 = k*n + 2*r. Let s be ((-20)/(-8) + -1)/((-108)/(-720)). What is the greatest common factor of n and s?
10
Let y(d) = -144*d - 1914. Let n be y(-16). What is the greatest common divisor of n and 795?
15
Let k(f) be the third derivative of -f**4/8 - 11*f**3/6 - 11*f**2. Let c be k(-13). Suppose -32*v + c = -28*v. Calculate the highest common factor of 7 and v.
7
Suppose -8*i = -6*i + 4*a + 3762, -3*i + 5*a - 5698 = 0. Let r be i/(-155) - (-1)/(-5). Let t = 11 - 7. What is the h