Let j = -50 + k. Calculate the highest common factor of 112 and j.
14
Let b = -6 + 8. Let q be 16/((-1)/b*-2). Let g be 27 + 2 + (9 - 1 - 5). What is the greatest common divisor of q and g?
16
Let f be (-1749)/(-22) + (-6)/4. Let j be (8/(-12))/((-4)/f). Calculate the highest common factor of 143 and j.
13
Suppose 35*g - 42 = 33*g. Let h(c) = -7*c + 35. Let s be h(0). Calculate the highest common factor of s and g.
7
Let k(i) = i**2 + 4*i - 3. Let z be k(-7). Let q(o) = o**2 - 17*o + 27. Let p be q(z). What is the greatest common factor of p and 75?
15
Let s(u) = -u**3 + 4*u**2 + 4. Let c be s(4). Suppose c*x - 2*x = 488. Let i be (-9)/27 + x/3. Calculate the greatest common divisor of 27 and i.
27
Let m(u) = -u**2 - 11*u + 4. Let h be m(-11). Suppose -f = 3*o - 32, h*o = 2*f + 2*o - 80. Calculate the greatest common divisor of 19 and f.
19
Let b(z) = -z**2 - 10*z. Suppose 12 + 60 = -9*d. Let k be b(d). Let s = 360 - 184. What is the greatest common divisor of s and k?
16
Suppose 13*d - 161 - 5130 = 0. What is the highest common factor of 22 and d?
11
Suppose -14*u = 21*u - 595. Calculate the highest common divisor of u and 7.
1
Let t(s) = -6*s**2 + 36*s - 2. Let x be t(5). What is the greatest common divisor of 21 and x?
7
Let u be 6/21 + (-79)/7. Let t be (-285)/(-2) + u/(-22). Calculate the highest common factor of 13 and t.
13
Let r(q) = 2*q**2 - 2*q - 142. Let n be r(-8). Calculate the highest common factor of n and 16.
2
Suppose -7*r + 3695 = -2*r. Let j = -181 + r. Suppose 4*h - j = -62. What is the highest common factor of h and 31?
31
Let m = 8 + -5. Suppose 2*r - 7 = -m. Suppose r*x + 624 = 4*j, 0 = j + x - 134 - 16. Calculate the greatest common divisor of j and 14.
14
Let w(b) = -b**3 - 22*b**2 - 55*b - 217. Let z be w(-20). What is the greatest common factor of 1577 and z?
83
Let k = 16 + -16. Suppose -5*j + k*j + 15 = 0. Suppose -3*t + 65 + 487 = -3*g, t - j*g - 174 = 0. Calculate the highest common factor of 21 and t.
21
Let s(x) = 9*x**2 - x + 2. Let v be s(-2). Let z(p) = -p**2 + 24*p - 30. Let w be z(24). Let k = v + w. Calculate the highest common factor of k and 5.
5
Suppose 45 = 2*v + 3*f, -5*f - 39 = -4*v + v. Suppose 8 = 4*h - 0*h. Calculate the greatest common factor of h and v.
2
Suppose i - 176 = -3*i. Suppose 5*k = 2*t - 231, -t + 2*k = -i - 70. Let g(y) = 2*y - 20. Let l be g(16). What is the highest common factor of l and t?
12
Suppose 47 + 25 = 2*g. Suppose 0 = 2*k - 3*w, -2*w = -3*k + 2*w. Let h be (k + (-9)/2)*16/(-2). What is the highest common factor of g and h?
36
Let s(k) = 10*k**3 - 2*k**2 + k + 4. Let u be s(2). Suppose 1 = -2*x + 13. What is the highest common divisor of u and x?
6
Let x(k) = k**3 + 8*k**2 + 23. Let m be x(-8). What is the greatest common factor of 391 and m?
23
Suppose 21296 = 41*h - 34628. What is the greatest common divisor of h and 44?
44
Suppose -36*a + 105*a - 6072 = 0. What is the highest common divisor of 506 and a?
22
Let b(i) = -3*i**2 + 42*i - 6. Let g be b(13). Let t(l) = -8*l + 1. Let v be t(-1). Let d = v + 13. What is the greatest common divisor of g and d?
11
Let j be 75 - (-2 + -1 + 3). Let o(u) = u**3 + 6*u**2 - 2. Let p be o(-4). What is the greatest common factor of p and j?
15
Suppose -7*l + 2*l = 0. Let a be -2 - (-3 + l) - -242. What is the highest common factor of a and 27?
27
Suppose 0 = -39*q + 292 + 254. Let z(d) = -42*d**3 - d - 1. Let v be 5/(-4) - 2/(-8). Let l be z(v). What is the greatest common factor of l and q?
14
Let m(f) = -36*f**2. Let u be m(-1). Let x = u + 47. What is the greatest common factor of 22 and x?
11
Let i = -438 + 453. What is the greatest common divisor of i and 105?
15
Suppose 0 = 2*o - 75 - 1. Suppose o = 4*s - 34. Let l(f) = -f**2 - 15*f - 24. Let r be l(-2). What is the highest common divisor of r and s?
2
Suppose -j + 3*m + 1134 = 0, -1045 = -3*j + 5*m + 2357. What is the highest common factor of 9 and j?
9
Suppose 0 = 4*j - j - 30. Suppose -12 = -4*h, 5*t + h + 0*h - 228 = 0. Let n = t - j. Calculate the greatest common divisor of n and 7.
7
Let j(y) = 2*y + 64. Let t be j(-17). Calculate the highest common factor of t and 390.
30
Suppose -b + 9 + 7 = 0. Let s be (-24)/b*176/(-6). Calculate the greatest common factor of s and 4.
4
Suppose 0 = -24*h + 1609 + 431. What is the highest common factor of 136 and h?
17
Suppose -4*c + 5*m = 12, -m = -c - 4*m - 3. Let h be 8/(-20)*(-67 + c). Calculate the highest common divisor of 308 and h.
28
Let i(v) = 12*v + 273. Let z be i(-23). Suppose 0*q + 4*q = 248. Let n = q - z. Calculate the highest common factor of 26 and n.
13
Let p be (-108)/4*(-1 + 0). Let v = 45 - p. What is the greatest common factor of v and 90?
18
Let a(q) = 3*q**2 + 21*q - 69. Let x be a(4). Calculate the greatest common divisor of x and 2.
1
Suppose -4*v - 9 = 5*s - 28, -5*s - 58 = -3*v. Let j(g) = -g**2 + 7*g - 5. Let i be j(6). Let c be 267*i/3 - 1. What is the greatest common factor of v and c?
11
Let h = -42 + 48. Let k be ((-54)/15)/((-4)/20). What is the greatest common factor of h and k?
6
Let w = 326 + -216. Calculate the highest common factor of 44 and w.
22
Suppose 13*u = -73 + 268. Calculate the greatest common divisor of u and 24.
3
Let n(d) = -2*d - 10. Let o = 10 - 19. Let f be n(o). Let a be 4/(-6)*-3*f. Calculate the greatest common factor of a and 96.
16
Suppose -16 = -b + 2. Let t = -15 + b. Suppose -50 - 76 = -3*q - t*r, -3*q + r + 126 = 0. Calculate the greatest common factor of q and 63.
21
Suppose -12 = -0*p - 3*p + o, 2*p + 5*o + 9 = 0. Suppose -p*a + 0*a = -162. What is the highest common factor of a and 6?
6
Suppose 25 = 2*w + 3*m, -4*w + 33 = 5*m - 14. Suppose -23*k + 9*k = -14. Let f = k + w. What is the highest common factor of 36 and f?
9
Let y be (-2953 - -139)/((-3)/2). What is the greatest common divisor of y and 56?
28
Let v(q) = q**3 + 7*q**2 - 31*q + 1. Let j be v(4). What is the highest common divisor of j and 53?
53
Suppose 24*i - 27*i + 304 = -4*b, -2*b + 98 = i. What is the greatest common factor of 750 and i?
50
Let u(c) = 2*c**2 + 27*c + 95. Let a be u(-11). Calculate the greatest common factor of a and 10.
10
Suppose -5*t - 4*s = -76, -3*s = 3*t + 5 - 50. What is the highest common divisor of t and 784?
16
Suppose 3*l - 183 = -21. Let i(t) = 40 - 35 + 6*t + 9*t**2 - 5*t**3 + 4*t**3. Let f be i(5). What is the highest common divisor of f and l?
27
Let r(f) = f**3 - 18*f**2 + 68*f - 15. Let v be r(17). What is the greatest common factor of 12 and v?
12
Let m be (4/6)/(5/120 + 0). Let x = -2 + 4. What is the greatest common factor of x and m?
2
Suppose 366 = 6*u - 0*u. Suppose -u = -3*h - 2*d, 0 = -h + 2*h + d - 19. Calculate the highest common divisor of h and 253.
23
Let q be ((-17)/2 + -2)*(-192)/56. What is the highest common factor of 4 and q?
4
Let x be 1*(2 - 4 - -19). Suppose -x*j - 6 = -20*j. Calculate the greatest common factor of 3 and j.
1
Let r = -29 - -49. Suppose 5*z + 0*z - 4*j = -45, -z + 3*j = r. Let n be (2/z - 0)*-5. What is the greatest common factor of 4 and n?
2
Let w be (-9)/(-6)*2*10/6. Suppose -5*l = w*y - 30, -l + y - 2 + 4 = 0. Calculate the highest common factor of 20 and l.
4
Suppose -28 - 24 = -13*b. Calculate the highest common divisor of 226 and b.
2
Let g be (-196)/(-2)*(30/10)/6. Calculate the greatest common divisor of 56 and g.
7
Let r = 2 + 9. Suppose 4*m - 29 = r. Calculate the highest common divisor of m and 80.
10
Suppose -19*g + 12*g + 42 = 0. Let f = 32 - g. What is the highest common divisor of f and 91?
13
Let p be 92700/153 - 4/(-34). Suppose p = 6*w - 54. Calculate the highest common factor of w and 44.
22
Suppose 2*p + 2*q = 12, 5*q = 4*p + 2 - 53. Let x be 2*(-3)/p*-15. Suppose 3*m - x = 71. What is the greatest common factor of 3 and m?
3
Let s = 39 - 12. Let q = 13 + -7. Suppose -15 = c - q*c. What is the highest common divisor of s and c?
3
Suppose -29*p = -5610 - 4482. What is the highest common factor of p and 12?
12
Let f be -5 + 5 + -5 + 155. Calculate the greatest common factor of f and 50.
50
Suppose 2*h = -5*g + 104, 2*h + 0*h + 3*g - 96 = 0. Let u(b) = 37*b - 2. Let m be u(8). Calculate the greatest common factor of m and h.
42
Let l = 39 - 34. Suppose -4*f = -l*f + 16. Calculate the greatest common factor of 8 and 