 a - 2*a = -112. What is the highest common divisor of 36 and c?
36
Let p(c) = 4*c**3 + 2*c**2 - c. Let v be p(1). Suppose -4*x = -2*w - 50, 2*x + v*w - 43 = -2*x. Calculate the highest common factor of 60 and x.
12
Let o be (-33)/(-18) - ((-28)/24 - -1). Suppose -d = 3*d + 5*i - 178, -5*d = o*i - 214. Let n = 4 - -10. What is the highest common divisor of n and d?
14
Suppose 4*z + 4 = 0, -251 = -3*p - 3*z + 7. Let m = -170 + 199. What is the greatest common factor of m and p?
29
Suppose 0 = v + 4*b - 67, -3*v + 177 = 3*b + b. Suppose -5*l + 3 = -r, r - 4*l = -2*r + 46. What is the highest common divisor of r and v?
11
Let d = -20 + 80. Suppose w - 7*w = d. Let r(h) = h**2 + 9*h. Let c be r(w). What is the greatest common factor of c and 90?
10
Let t(l) = -6*l + 80. Let a be t(11). Calculate the highest common divisor of a and 448.
14
Suppose -y + 39 = 2*y. Suppose -5*m - 117 + 182 = 0. Calculate the greatest common factor of m and y.
13
Suppose -n - 12 = -5*u, -5*n - 8 = 2*u - u. Let z = n - -7. Suppose 0 = -z*v + 5 + 35. What is the greatest common factor of 72 and v?
8
Let x = 39 + -1. What is the highest common divisor of x and 266?
38
Let f(h) = -h**3 + 13*h**2 - 6*h - 5. Let d be f(13). Let p = -8 - d. Suppose 20 = 5*l - p. Calculate the greatest common factor of 38 and l.
19
Suppose 2*k + 150 = 2*u, -3*u - 4*k + 265 = k. Suppose n - d = 18, -5*n - 3*d + 70 = 2*d. Calculate the highest common factor of u and n.
16
Let c = -58 - -146. Suppose -4*l + 5*l - p = -56, 2*p + 254 = -4*l. Let k = l + c. What is the highest common divisor of 9 and k?
9
Let s(w) = 43*w**2 + 36*w - 3. Let p be s(1). Suppose 2*i + 2 = 2*l + 46, 0 = -5*i - 5*l + 80. What is the greatest common divisor of i and p?
19
Let h(t) = -2*t**2 - 3*t**2 + 4*t**2 + 15*t. Let x(n) = 2*n + 40. Let u be x(-14). Let j be h(u). What is the greatest common factor of j and 6?
6
Let g = -348 + 489. What is the greatest common divisor of 188 and g?
47
Let d = -419 + 432. What is the highest common factor of 3679 and d?
13
Let s(f) = -f**3 - f**2 + 5*f + 2. Let p be s(-3). Suppose 3*w - 42 - 133 = -p*n, -3*w + 79 = 2*n. What is the greatest common divisor of 4 and n?
4
Let s(d) = -d**3 - 8*d**2 - 5*d + 10. Let w be s(-6). Let l = w + 182. Calculate the greatest common divisor of l and 60.
30
Let x(m) = -20*m**3 + m + 2. Let i be x(-3). Suppose 0 = -0*v + 7*v - i. Calculate the greatest common factor of v and 7.
7
Suppose -760 = 186*w - 196*w. Calculate the greatest common factor of w and 57.
19
Suppose 15*a - 16*a = 5*y - 264, 2*a = -2. What is the highest common divisor of 106 and y?
53
Let h be 8/12 + (-2236)/(-12). What is the highest common divisor of h and 11?
11
Suppose -4*o + 22 = 3*t, 0 = -5*t - 3*o + 10 + 12. Suppose -t*b + 147 = 5*b. Calculate the greatest common divisor of b and 3.
3
Let f(a) = -a**3 + a**2 + a + 1. Let m be f(-4). Let j = 904 - 883. What is the highest common divisor of m and j?
7
Suppose v = 0, 80 = 5*g + 5*v + 20. Calculate the highest common divisor of 4 and g.
4
Let b = -49 + -52. Let x = 109 + b. What is the highest common divisor of 88 and x?
8
Suppose -2*x + 144 = -4*g, 9*x - 264 = 5*x + 2*g. What is the highest common factor of x and 56?
8
Let q(t) = -2*t - 17. Let c be 4/(-20) - 178/10. Let o be q(c). What is the greatest common divisor of o and 19?
19
Suppose 0*m + 3*m + 3 = 0, 2*d - 3*m - 65 = 0. Let b(s) = 0 - 4*s - 2 - d*s - 5. Let f be b(-5). Calculate the highest common factor of f and 24.
24
Let d = 63 - 35. Suppose -4*z + 126 + 47 = -b, 5*z = -2*b + 200. What is the greatest common factor of z and d?
14
Suppose 0*t + 2*f - 4 = 2*t, 34 = 3*t + 5*f. Suppose -5*a = t*g + 19, 2*g + 5*a = -3*g - 15. What is the highest common divisor of 18 and g?
2
Let f = 35 + 185. Calculate the greatest common divisor of f and 40.
20
Let i(j) = j**3 - 2*j**2 + j + 1. Let u(a) = -2*a - 5. Let q be u(-5). Let k be i(q). Calculate the highest common factor of 9 and k.
9
Suppose 2*m + 220 = -3*m. Let k = -7 - m. What is the greatest common factor of 37 and k?
37
Suppose u - 2*a + 1 = 0, -u - 15 = 4*u - 5*a. Let j be u - ((-5)/1 + -300). Calculate the greatest common divisor of 12 and j.
12
Let b(f) = -17*f + 24. Let r be b(-6). Let y be r - 1/(5/(-15)). What is the highest common factor of y and 86?
43
Let m be 211/8 - (-36)/(-96)*1. What is the greatest common factor of 390 and m?
26
Let w = 208 - 202. Let g be (-2)/8 - (-273)/4. Let z = g + -2. What is the highest common factor of w and z?
6
Suppose 7*s = 375 + 857. Suppose -4*r - 141 = -3*x, -4*x = -3*r - 19 - s. Calculate the highest common factor of 204 and x.
51
Let l be (-2 + 24/20)*825/(-110). Suppose 4*r + 24 = 216. Calculate the greatest common divisor of r and l.
6
Let u(s) = -s**3 - 12*s**2 - 31*s + 11. Let f be u(-8). Suppose f*o - o = -5*c + 1078, 5*c = 2*o + 1082. What is the highest common divisor of 27 and c?
27
Let f(m) = m**2 + 4*m + 3. Let t be f(-6). Let w(h) = -h**2 + 6*h - 10. Let z be w(7). Let x = z + 22. What is the highest common divisor of t and x?
5
Suppose 3*y - k = 0, y - 3*k + k = 0. Suppose y = x - 8 + 5. Suppose -4*m = -2*v + 50, -m = -x*v + m + 67. Calculate the greatest common divisor of v and 42.
21
Let k = -1102 + 2167. What is the greatest common factor of k and 75?
15
Let a = 3596 - 2886. What is the highest common factor of 50 and a?
10
Suppose 43 = 2*v + 5*i, 2*v - 5*i - 77 = -24. Let z be ((-8 - -4) + 20)*(16 + -14). What is the greatest common factor of v and z?
8
Suppose 0 = -3*h - 5*d + 21 - 193, -5*d = 25. Let r = h + 77. Calculate the highest common divisor of r and 7.
7
Let h(d) = -d**3 - 8*d**2 - 10*d - 11. Let t be h(-9). What is the highest common divisor of 720 and t?
80
Suppose 5*x + 4*c - 70 = 3*x, 0 = 5*x - 4*c - 203. Let z = -59 + -6. Let p = -39 - z. Calculate the greatest common divisor of p and x.
13
Suppose 4*n - 18 - 2 = 0. Suppose -d - n*d = -6. Let z be d*6/(-2)*-1. Calculate the highest common factor of 3 and z.
3
Let y = -341 - -445. Calculate the greatest common divisor of 130 and y.
26
Let x(u) = u**2 - 10*u + 34. Let y be x(3). Calculate the highest common factor of y and 13.
13
Let k(z) = z**3 + 11*z**2 - 5*z + 12. Let j be k(-9). Let u be j + (3/(-2))/((-12)/8). What is the highest common divisor of 11 and u?
11
Let d(h) = 13*h**2 + 102*h + 2. Let q be d(-8). What is the highest common divisor of 846 and q?
18
Let a(f) = -f**2 - 6*f + 15. Suppose 5*h + 12 = -j, -4*h + h = -3*j - 18. Let l be a(j). What is the highest common factor of 20 and l?
4
Let b(x) = x**3 + 15*x**2 + 9*x - 4. Let g be b(-14). Suppose -2*n + 4*v = 3*v - 56, -3*n = 3*v - g. Calculate the highest common divisor of 26 and n.
26
Let r = -10 + 5. Let o be (-1)/r + (-61)/5. Let v be 1/(o/16 + 1). Calculate the greatest common divisor of 32 and v.
4
Suppose -4*a - n + 1086 = n, n + 822 = 3*a. Suppose 0 = -5*t - 4*d + 455, -2*t + 5*d = t - a. What is the greatest common factor of 13 and t?
13
Suppose -n - 351 = -2*n. Suppose -5*u = -n + 101. Let j be 12/(-3 + -1) - -23. Calculate the highest common factor of j and u.
10
Let d be (-11 - -21)*(-12)/10. Let x be (-100)/d + 2/(-6). Suppose -4*a = -4*h + 23 - 99, -4*a - h = -101. What is the highest common factor of a and x?
8
Suppose 3*c = -3*w + 9, -w + 5*c + 21 = -0*w. Suppose -6*r - 22 + 58 = 0. What is the greatest common divisor of r and w?
6
Let w = -12527 + 12538. Suppose -3*r + 20 = -277. Calculate the highest common factor of w and r.
11
Let t(s) = s**3 - 5*s**2 + 7*s - 5. Let u(o) = 3*o - 23. Let w be u(9). Let r be t(w). What is the greatest common factor of 7 and r?
7
Suppose 3*x = -z + 3*z - 19, 11 = -2*z - 3*x. Suppose z*l - 90 = l. What is the highest common divisor of 30 and l?
30
Let z(x) be the first derivative of x**4/4 - 5*x**3 + 16*x - 5. Let f be z(15). Calculate the greatest common divisor of 32 and f.
16
Let j(m) = m**2 - m + 16. Let p be j(-13). Calculate the highest common factor of p and 36.
18
Let g(a) = -a + 33. Let c be g(0). Suppose 19*d - 22*d = -66. What is the highest common divisor of c and d?
11
Suppose 0 = 2*x, -x - 39 = -4*g + 25. Let n be (-8 + 1)*162/(-9). Let d = n - -2. Calculate the greatest common factor of d and g.
16
Let m = -71 - -69. Let p be (148/8 - m/4)/1. Calculate the highest com