5*j**2 + 239*j - 172. Let n be a(43). What is the highest common factor of 100 and n?
20
Suppose l - 13*a + 11*a - 1704 = 0, 3*l + 4*a - 5052 = 0. What is the greatest common divisor of l and 72?
36
Let j(f) = -f**3 + f**2 + 21. Let m be j(0). Let l = -19 + m. Suppose -392 + 366 = -l*t. What is the highest common divisor of 52 and t?
13
Suppose -1225 = -3*w - a + 6910, -w - 2*a = -2725. Calculate the greatest common divisor of 6 and w.
3
Let f be 0*(-3)/(15/5). Suppose 27 = r - l, 5*l = -r - f*l + 9. Let j be (3/2)/(1/r). What is the highest common divisor of 24 and j?
12
Suppose 5*p - 19 = 4*x - 2, -2*p + 20 = 5*x. Let h = -19 - -27. Suppose 0 = 5*r - 4*s - h - 78, r - 16 = x*s. What is the highest common divisor of r and 2?
2
Suppose -g = u - 20, 2757*u - 2758*u - 5*g - 16 = 0. Let q be 1/1 - -3*48. What is the greatest common divisor of q and u?
29
Suppose -9*x = 1699 - 2437. What is the highest common divisor of x and 1558?
82
Let r be 64*(-3)/(15/(-10)). Suppose 0 = 5*g - 3*g + r. Let x = g + 73. Calculate the highest common factor of 54 and x.
9
Let c be ((-27)/15)/((-18)/(85 + 5)). Calculate the greatest common factor of c and 7.
1
Suppose 4*w = 5*u + 3, -w + 5*u = 11 - 8. Let v be w - 18/(-3) - 7. Suppose 0*t + 3*t = 21. Calculate the greatest common factor of t and v.
1
Let m be (5 + -5)*(-2)/(-4). Suppose m = -r + 1602 - 1558. Calculate the highest common factor of r and 198.
22
Let u = 220 - 181. Let k = u - -34. Calculate the greatest common factor of 657 and k.
73
Let f = 868 - 846. Suppose -3*d = -5*p - 2290, 1524 = -2*d + 4*d - 4*p. Calculate the highest common divisor of f and d.
22
Let j = -23994 + 24786. Calculate the highest common factor of 1650 and j.
66
Let h(i) = -9*i**2 - 138*i - 39. Let b be h(-15). What is the greatest common divisor of 11592 and b?
6
Let w = 627 - 622. Let y(n) = n**3 + 8*n**2 - 12*n - 18. Let f be y(-9). What is the highest common factor of f and w?
1
Suppose -3899 = 10*o - 4679. Calculate the greatest common factor of o and 1599.
39
Let b be ((-172)/(-129))/(7/(-14) - (-10286)/20556). What is the greatest common factor of b and 18?
6
Let r be (-11 + 10)/((35/(-28))/5) - -77. Calculate the highest common factor of r and 1107.
27
Suppose 4*r + 4*d = 76, -5*r + 3*d = -7*r + 37. Let b(p) = p**3 - 11*p**2 + 11*p - 1. Let n be b(11). What is the highest common factor of r and n?
20
Suppose 2*y - 53*o + 57*o - 60 = 0, 131 = 4*y - 3*o. Let j(t) = 8*t**2 - 8*t. Let f be j(7). Calculate the highest common divisor of y and f.
16
Let r be ((24/(-1))/(-4))/(33729/8430 + -4). Calculate the greatest common divisor of 80 and r.
20
Suppose -65 = -4*c - 5*f, -222*c + 15 = -218*c - 5*f. What is the highest common factor of 1270 and c?
10
Let r be (-3)/(8 + -2)*456/(-6). Let h = r - 32. Let x be 3/h*1 + 162/4. What is the highest common divisor of x and 41?
41
Suppose 5*b + 3*t = -2*t + 50, -4*t = 3*b - 29. Let y = 356 + -268. Calculate the greatest common factor of y and b.
11
Let p(l) be the first derivative of -l**2 + 35*l - 507. Let z(f) = -3*f - 7. Let b be z(-7). Let s be p(b). What is the greatest common factor of s and 112?
7
Suppose 376 = 43*d + 161. What is the highest common divisor of 245 and d?
5
Suppose 143*s = 194*s - 3672. Suppose 1072 = 3*m + 2*l, m - 21 = 4*l + 355. What is the greatest common divisor of s and m?
72
Let b(z) = 21*z**2 - 4*z - 8. Let u be b(-2). Let n = -63 + u. Let l = n - 17. What is the highest common factor of 44 and l?
4
Suppose -18*a = -8*a - 40. Let z be 282*-2*a/(-24). Calculate the highest common factor of 2 and z.
2
Suppose 5*q = 5*a + 7 - 2, 0 = 3*a - 6. Suppose 5*r + 358 = y, -q*y + 5*y - 3*r = 681. Calculate the highest common divisor of 74 and y.
37
Suppose 2*r + 887 = 4*o + 1111, 4*r - 422 = -5*o. Let w(f) = -f**2 + 11*f - 10. Let n be w(7). Calculate the highest common divisor of r and n.
18
Let q(s) = s**2 - 155*s + 26. Let u be q(-4). Calculate the greatest common divisor of u and 2.
2
Let v = -31045 + 38921. Calculate the highest common divisor of 55 and v.
11
Suppose 0 = 9*v - v - 58 - 22. What is the greatest common divisor of 10490 and v?
10
Suppose 2*j - 7*j = 5. Let u be ((-170)/51)/(j/18). Suppose 2*x + 16 = u. Calculate the greatest common divisor of x and 55.
11
Suppose -2*z + 5*v = 12, -z - 4*v = -8*z + 12. What is the highest common divisor of z and 2440?
4
Suppose -65*m = -23*m - 3360. Let b be -1 - (-2 + -7 - -3). Calculate the greatest common factor of b and m.
5
Let i be ((-307 - 1) + 2)*-1. Let x(t) = 834*t + 10876. Let z be x(-13). Calculate the greatest common factor of i and z.
34
Suppose -v = r - 6*r - 29, -r = -5*v + 25. Suppose 0 = -2*n - 6 + 46. Suppose -2*t = -t - n. Calculate the highest common divisor of v and t.
4
Let g(h) = 11*h**2 - 11*h + 22. Let r be g(5). Let s = -2 - 16. Let o be (-400)/s + 4/(-18). Calculate the highest common factor of r and o.
22
Let u(c) = -11*c**2 - 123*c - 17. Let j be u(-11). What is the highest common factor of 765 and j?
5
Suppose -4*b + 590 + 1210 = 0. Suppose -2*m + 7*m - b = 0. Let k(f) = -4171*f - 58384. Let l be k(-14). Calculate the greatest common factor of m and l.
10
Suppose 0 = -3*s - n + 119, -7*s + n = -163 - 138. Calculate the highest common divisor of s and 489.
3
Suppose 0 = -25*h - 16884 + 75109. Calculate the greatest common divisor of 548 and h.
137
Let s be (-1310)/150*-5*(5 + (-2)/1). What is the highest common divisor of s and 1?
1
Let l(v) = -v**3 + 5*v**2 + 9*v. Let m be (-1 + (1 - 2))/(1*-1). Suppose m*j = -3*j + 30. Let u be l(j). Calculate the greatest common factor of u and 72.
18
Suppose -4*s + 1988 = -3*n, -10*s - 994 = -12*s + 4*n. Calculate the greatest common factor of 781 and s.
71
Suppose -79*t + 64360 = -133693. Calculate the greatest common divisor of 23 and t.
23
Let c be (-1 - 149)*(-1)/2. Suppose 224 - 564 = -5*b + 4*w, -2*b + 2*w = -140. Calculate the highest common divisor of c and b.
15
Let h = 668 - 452. Suppose 1685 = 8*p + 461. Let u = h - p. Calculate the highest common divisor of u and 9.
9
Let p(k) = -5*k**2 + 150*k - 200. Let c be p(14). Calculate the greatest common factor of 69 and c.
23
Suppose -18441 = -27*h + 23*h - w, h = -4*w + 4599. What is the highest common divisor of h and 87?
87
Let j = -6933 + 6941. Calculate the highest common factor of 88 and j.
8
Let c = -127 + 162. Let k(a) = -4*a - 12. Let l be k(-3). Suppose 4*w - 12 - 16 = l. What is the greatest common divisor of w and c?
7
Let j be (3/1)/(15/10) - -31*23. What is the highest common divisor of j and 110?
55
Suppose 5*p + 25 - 101 = -3*t, -8*p = 4*t - 112. What is the greatest common factor of t and 140?
4
Let c be (-36)/27 - ((-4)/14 + 13528/(-84)). Calculate the greatest common divisor of 600 and c.
40
Let z be ((-8)/6)/((-22)/99). Let k(g) = -33*g - 16. Let f be k(-5). Let q = f + -101. Calculate the highest common factor of z and q.
6
Let a(y) = -y**2 + 8*y + 792. Let l be a(-24). Calculate the greatest common factor of 3000 and l.
24
Let w(o) = o - 11. Let l be w(10). Let t be (0/(-1) + l)/(10/10). Let z(u) = -13*u - 3. Let m be z(t). Calculate the greatest common divisor of 20 and m.
10
Suppose -2*r + 27 = -79. Let x be 9/6*1166/3. Calculate the highest common factor of x and r.
53
Let v = 4255 + -4069. Calculate the greatest common divisor of v and 3.
3
Suppose 1 = -3*b + p + 9, -3*p + 24 = 3*b. Suppose x = 7*s - 2*s + 157, b*s - 376 = -3*x. Suppose 0*z = 2*z - 24. What is the greatest common factor of x and z?
12
Let q(h) be the first derivative of 5*h**2/2 + 225*h - 123. Let y be q(11). What is the highest common divisor of y and 20?
20
Suppose -4*s = 5*n - 86 + 8, 0 = 4*s - 3*n - 126. What is the greatest common divisor of 621 and s?
27
Let j(t) be the first derivative of 3*t**2/2 + 78*t + 43. Let q be j(14). Let f be (-1)/2 + (-31)/(-2). Calculate the greatest common divisor of q and f.
15
Suppose 2*h - 458 - 273 = -a, -3*h + 3*a = -1083. Let l be (-2)/(7 - ((-732)/(-56) - 6)). What is the greatest common factor of h and l?
28
Suppose -80 = -8*w - 12*w. Let d be (-4 - (w - -83))*-1*1. What is the highest common divisor of d and 13?
13
Let w(h) = 4*h**2 - 5*h - 3. Let a(m) = 3*m**2 - 6*m - 4. Let p(q) = -6*a(q) + 5*w(q). Let f be p(6). What is the greatest common factor of f a