 8. Let o be s(5). Calculate the greatest common factor of o and 120.
24
Let d(x) = x + 49. Let n be d(51). What is the greatest common divisor of n and 16?
4
Let i be -36*(6 - (-120)/(-18)). Let t(w) = -18*w. Let y(x) = x**2 + 4*x - 4. Let q be y(-4). Let g be t(q). What is the highest common factor of i and g?
24
Let j(d) = d**3 + 4*d**2 - 9*d + 6. Let y be j(6). Let c(w) = w**2 - 26*w + 16. Let i be c(32). Let o = y - i. Calculate the greatest common factor of 13 and o.
13
Let i(x) = -x**2 - 33*x + 44. Let j be i(-34). Let l = j - -25. Calculate the greatest common divisor of 7 and l.
7
Suppose -4*p + d + 1940 = 0, -72 - 396 = -p - 4*d. Calculate the highest common factor of p and 220.
44
Let v be -2 + (-2 - -5) - 20. Suppose 236*w - 441 = 229*w. Let n = w + v. What is the greatest common divisor of n and 110?
22
Suppose 0 = -4*b + 4*i + 56, -28 = -3*b + 2*i + 11. Let g(n) = n**3 - n**2. Let u be g(1). Suppose 88 = m - u*m. What is the highest common factor of b and m?
11
Suppose 40 = -3*t + 7*t. Calculate the highest common factor of 35 and t.
5
Let w(f) = 6*f**2 + 2*f - 8. Let a be w(3). Suppose -4*j + m = -m - a, -j + 2*m = -13. What is the highest common divisor of j and 26?
13
Let a(g) = -g**3 + 1. Let f be a(-2). Let u(r) = r**2 + 24*r - 36. Let l be u(-27). Calculate the greatest common divisor of l and f.
9
Let z be (-960)/(-18)*(-45)/(-12). Calculate the highest common divisor of 25 and z.
25
Suppose 5*n + 125 = 6*n. Let s = -185 + n. Let m = s - -84. What is the greatest common divisor of m and 16?
8
Let d be (-12)/(-9) + (-1673)/(-21). Let z = 297 - d. What is the greatest common factor of 27 and z?
27
Suppose 0 = -0*x - 2*x + 16. Suppose 0 = -4*m + x, -7*j + 4*j - 5*m = -109. What is the greatest common factor of j and 11?
11
Let t = 10 - -55. Let u be 1/((-7)/140 + 7/28). Calculate the highest common factor of t and u.
5
Let k be (-226)/(-8) - 1/4. Let v be (-20)/(-9) + 36/(-162). Let d be 2/(-2) - (v - 7). What is the greatest common factor of d and k?
4
Let b be (11 + 1)*(-3)/(-6). Suppose -6*l = -9*l + b. Let w = -63 + 65. Calculate the highest common divisor of w and l.
2
Suppose -26 - 7 = -3*t + 5*w, 5*t = -2*w + 55. Let r(x) = -8*x - 117. Let n be r(-27). What is the highest common divisor of t and n?
11
Suppose -3*z + 69 + 18 = 0. Calculate the greatest common factor of z and 203.
29
Let r = 316 - 286. Calculate the highest common factor of r and 90.
30
Suppose 3*l + 4*t = 22 + 18, -5*l + 105 = -t. What is the highest common factor of 14 and l?
2
Let m(u) = -u**3 + 19*u**2 - 16*u - 6. Suppose -8*i = -6*i - 36. Let x be m(i). Let z = 42 - x. What is the greatest common factor of 4 and z?
4
Let s be 0*(-2)/(2/(-1)). Suppose v - 2 = -s*v. Let a = v + 10. Calculate the highest common factor of a and 12.
12
Let b = 177 - 163. Calculate the highest common factor of 224 and b.
14
Let p(i) = -31*i**2 - 14*i + 1. Let s(z) = -z**2 + z - 1. Let b(r) = -p(r) - 5*s(r). Let g be b(-2). Calculate the greatest common divisor of 13 and g.
13
Let p be 3 + 3 + -5 + 4. Suppose -p*z - g + 5*g + 135 = 0, -4*g - 54 = -2*z. Calculate the highest common factor of 3 and z.
3
Let h be ((-2)/(-2))/(1/126). Let j be (8 - 11)/(6/(-98)). Let u = -35 + j. What is the highest common divisor of h and u?
14
Let s = 82 - -29. What is the highest common factor of 74 and s?
37
Let p(f) = -f**3 + 36*f**2 - 35*f + 36. Let y be p(35). Calculate the greatest common factor of y and 234.
18
Let a be (-2)/(-9) - 1074/(-27). Suppose -g = 16 - 24. What is the highest common divisor of g and a?
8
Suppose 4*w = -d + 57, -3*w = -6*w. Suppose -5*a + d + 3 = 0. Suppose -k - 4*n = 14, 31 = k - 7*n + 2*n. What is the highest common divisor of a and k?
6
Let a be (2 + -99)*6*17/(-51). Suppose -a = -i + 58. What is the highest common factor of 28 and i?
28
Suppose -3 = 2*d - 19. Let r = -60 - -76. What is the greatest common factor of r and d?
8
Suppose -u - 3 + 84 = 4*l, 3*l = -2*u + 62. Let n(y) = 3*y**2 + 7*y + 10. Let c = -16 + 11. Let q be n(c). Calculate the highest common factor of l and q.
10
Suppose 2*n + 75 = 5*b, -5*b - 3 + 73 = -n. Suppose b + 23 = 2*i. Calculate the highest common divisor of 45 and i.
9
Suppose 2*f - 6 = 0, 49 = -3*h - 4*f + 124. Calculate the highest common factor of h and 168.
21
Let r(s) = 7*s - 6. Let d(t) = -13*t + 13. Let a(b) = -3*d(b) - 7*r(b). Let i be a(-1). What is the highest common divisor of i and 91?
13
Suppose h + 2*d - 7*d = 311, h - d = 307. What is the highest common factor of 34 and h?
34
Suppose 0 = 3*q - 4 - 8. Let g be 6/(-4)*q/(-3). What is the highest common divisor of g and 14?
2
Let q(a) = -14*a + 78. Let y be q(4). Calculate the greatest common factor of y and 66.
22
Let d(x) = -13*x**2 + 14*x**2 + 1 + x - 5. Let c be d(-5). Suppose -10*v + 5*v = -80. Calculate the greatest common divisor of v and c.
16
Suppose 0 = o - 4 - 5. Suppose c = 4, -3*c + 29 = 3*s - 64. Calculate the highest common divisor of o and s.
9
Suppose 2*j + 55 - 57 = 0. Let x be (-19)/(-3) + j/6*-2. What is the greatest common divisor of x and 3?
3
Suppose 7*s - 192 = 368. What is the greatest common divisor of s and 440?
40
Suppose 4*b - 88 + 24 = 0. Suppose 15 = -b*s + 21*s. Calculate the highest common divisor of 24 and s.
3
Let b(o) = 9*o + 31. Let m be b(8). Suppose m = 6*a - 35. Suppose 0 = 5*u - 0*t + 2*t - 220, 5*t + 25 = 0. Calculate the greatest common factor of a and u.
23
Let f = -104 + 100. Let t be 9 + 6 - (-1 + f). Calculate the greatest common divisor of t and 50.
10
Suppose 0*s + s = 465. Suppose -5*z + s = x + 151, z + 5*x - 58 = 0. Calculate the highest common divisor of z and 9.
9
Suppose 5*g - 141 = -2*n, -2*g - 3*g + 2*n = -129. Let v(b) = -b**3 + 34*b**2 + 73*b - 33. Let p be v(36). What is the greatest common factor of p and g?
3
Let a be (52/39)/((-4)/(-9)). Suppose -2 = -4*p + a*p. Calculate the highest common divisor of p and 8.
2
Suppose -12 = -4*h + u, -u = -13*h + 12*h. Calculate the greatest common factor of h and 44.
4
Suppose 0 = -4*x + 6*x - 128. What is the highest common divisor of 448 and x?
64
Let v be (-384)/(-15) + (-2)/(-5). Suppose -635 = 5*i + 4*g, -g = 4*i - 0*g + 519. Let m = i - -209. Calculate the highest common divisor of m and v.
26
Let a be -2*3/(-12)*(67 - 41). What is the greatest common divisor of 559 and a?
13
Let o(b) = 2*b**3 + 5*b**2 + b + 3. Let h be o(-5). Let l = -116 - h. Calculate the greatest common divisor of 187 and l.
11
Suppose 4*y = 67 + 25. Let g = 27 - y. Suppose -g*m - 20 = -8*m. Calculate the highest common factor of 55 and m.
5
Suppose 5*o = -5*v + 607 - 47, 5*v - 2*o = 581. Calculate the highest common factor of v and 69.
23
Suppose -8*o = 87 + 3473. Let u = -229 - o. What is the greatest common divisor of u and 24?
24
Let a(u) = -u**3 + 32*u**2 - 86*u - 17. Let y be a(29). What is the highest common factor of 372 and y?
12
Let m be 31 - -14*(-2)/4. What is the greatest common divisor of 156 and m?
12
Let d(p) = p**3 - 7*p**2 - 5*p - 5. Let s be d(8). Let z = -20 + s. Let x(o) = -20*o + 2. Let v be x(z). What is the highest common factor of v and 11?
11
Let w be 164/(-10)*(-8 - -3). Suppose 2*n - 58 = w. Let b = -36 + 50. Calculate the greatest common factor of b and n.
14
Suppose 3*l = 1395 + 2856. Calculate the greatest common divisor of 13 and l.
13
Let t = -758 - -828. Calculate the highest common factor of 630 and t.
70
Let r = 28 + -84. Let t = r + 80. Let y be t + 7/(14/6). Calculate the greatest common factor of 18 and y.
9
Let v be (12/15)/((-1)/(-90)). Suppose 0 = 5*h - 10, -2*h + h + v = 5*f. Calculate the greatest common divisor of f and 7.
7
Suppose -2*a + 3*a + 39 = 0. Let h be a/(-6) + (-2)/4. Suppose -2*s + 0*s + 36 = 0. Calculate the greatest common factor of s and h.
6
Let g(t) = -8*t - 12 + 21*t - 6*t - 4*t. Let o be g(15). What is the highest common divisor of o and 22?
11
Suppose 0 = 3*z - x + 9 - 79, 3*z - 62 = 5*x. What is the greatest common factor of 660 and z?
12
Let a be 1791/15 - 3*4/(-20). Calculate the greatest common factor of a and 420.
60
Suppose p = -3*z + 39, 3*z + 22*p - 33 = 19*p. Suppose -3*h = -7*h + 504. What is the highest common factor of h and z?
14
Suppose 2*y - 32 = -2*w, -4*w + 45 = 2*y - 9. Let m = -38 + 71. What is the greate