Suppose -4*t - 5*z - 112 = 0, -t - 1 - 6 = -4*z. Let s = 37 + t. Suppose 6*r - 498 = 2*r + 3*o, -250 = -2*r + o. What is the greatest common divisor of s and r?
14
Let w = -37 + 97. Let z = -38 + w. Let k(x) = x**3 + 12*x**2 + 10*x - 9. Let v be k(-11). Calculate the highest common factor of z and v.
2
Let m(a) = -2*a - 17 + 16 + 15. Let k be m(5). Calculate the highest common divisor of 6 and k.
2
Let c = 430 - 382. What is the greatest common divisor of 32 and c?
16
Let u(l) = -29*l**3 + 2*l**2 - 1. Let k be u(1). Let p be (3 - 27/6)*k. Calculate the greatest common divisor of p and 6.
6
Let t(n) = 6*n**2 - 8*n - 2. Let z(c) = c + 3. Let i be z(3). Let p be t(i). Let l = -40 + p. What is the highest common factor of 14 and l?
14
Let o = 18 + -12. Let f be (-2)/(-12) - 1/o. Let s be 3/9*f + 3. Calculate the greatest common factor of s and 2.
1
Let k = 686 - 665. What is the greatest common divisor of 84 and k?
21
Let c = 50 - -20. What is the highest common divisor of c and 105?
35
Let m(h) = 7*h**2 - 28*h + 16. Let g be m(8). Calculate the greatest common factor of g and 432.
48
Let m be ((-456)/16)/19*1*-10. What is the greatest common factor of 270 and m?
15
Let y = -27 + 37. Let w = 6 + -1. Suppose -y = -3*f - 1, 169 = w*p - 2*f. What is the greatest common divisor of p and 7?
7
Let q(y) = -107*y - 178. Let k be q(-2). What is the highest common divisor of k and 45?
9
Suppose 6*y + 103 - 205 = 0. Calculate the highest common divisor of y and 2.
1
Suppose 0 = -3*w - 2*y + 329 - 50, w + 4*y - 93 = 0. What is the greatest common divisor of w and 4929?
93
Suppose -7*i + 3*i + 745 = -5*x, -579 = -3*i - 3*x. Calculate the highest common factor of 38 and i.
38
Suppose 23*j - 2349 = 2343. What is the greatest common divisor of 24 and j?
12
Suppose -26844 + 3348 = -33*u. Calculate the greatest common divisor of u and 267.
89
Suppose 11*g - 61 = 181. What is the highest common factor of g and 55?
11
Suppose -3*n - 12 = -5*n. Let p = -3883 + 3937. What is the highest common divisor of p and n?
6
Let y(a) = -9*a - 7. Let r be y(-3). Suppose 0 = 16*o - r*o + 36. Suppose 0 = -4*n + 2 + 2. What is the greatest common factor of n and o?
1
Suppose -2*v - 3*a - a = -18, -3*a = 3. Suppose v*p + 36 = 13*p. Calculate the highest common divisor of p and 45.
9
Let m be 80/6*24/16. Let z be 1/2 - (-70)/m. Let q be ((-27)/(-18))/(6/z). What is the highest common divisor of 2 and q?
1
Suppose -5*f - 2*i - 20 = -i, 0 = f + 5*i + 28. Let c be f*(-2 + 14/3). Let h be (-104)/(-18) - c/36. What is the greatest common divisor of 6 and h?
6
Suppose -3*h - 29 = -104. Let i be -1 + (-4)/(-10) - (-515)/h. What is the greatest common factor of i and 20?
20
Let o = -202 + 208. What is the greatest common divisor of o and 312?
6
Suppose 0 = -10*o + 8*o + 110. What is the highest common factor of o and 44?
11
Let s = 143 + 67. Suppose 527 - 1548 - 3029 = -135*v. Calculate the highest common divisor of v and s.
30
Suppose -2*n - 3*h + 276 = 0, 0 = 5*h - 9 - 11. Calculate the highest common divisor of 99 and n.
33
Suppose -b - 2*b - 21 = -4*l, 0 = -3*b - 3*l. Let t be -3 + ((-282)/(-15) - 8/10). Let g = b + t. Calculate the highest common divisor of g and 4.
4
Let j = -11 - -18. Suppose 9*m - 114 = j*m. Suppose -5*d + g = -m, 54 = 6*d - 2*d - 5*g. What is the highest common factor of 22 and d?
11
Let u = -366 + 396. What is the greatest common divisor of 6 and u?
6
Let i(r) be the second derivative of r**3/6 + 11*r**2 - 11*r. Let u be i(-17). Calculate the highest common factor of u and 25.
5
Let d = -466 + 481. Calculate the greatest common divisor of d and 65.
5
Suppose 3*c + 69 = 3*p + 66, -5*c - 2*p = -23. What is the highest common factor of c and 24?
3
Let x(f) = f**2 + 2*f - 4. Let a be x(-4). Suppose -a*k + 87 = -k. Suppose -195 = -2*b + k. What is the highest common divisor of 16 and b?
16
Let d(j) = -j**2 + 8*j - 9. Let y be d(6). Suppose -y*g + 6 = -2*g. Suppose 3*h + 3 = 0, -3*w - 18 = -2*h - 92. Calculate the greatest common factor of g and w.
6
Let c(a) = -a + 7. Let j be c(7). Let s be (-3)/4 + (-15)/(-4). Suppose j = -s*n + 30. Calculate the highest common divisor of n and 10.
10
Suppose 3*k - 403 - 12 = -5*u, -3*k + 255 = 3*u. Calculate the greatest common factor of 112 and u.
16
Let f = 46 + -26. Suppose 2*k + 3*k = f. Suppose 4*s = 5*s - 4*w + 8, -2*w = -k*s + 38. What is the greatest common factor of 108 and s?
12
Let k be (-1749)/(-5) + (-10)/(-50). Calculate the greatest common divisor of 50 and k.
50
Suppose -8 = -4*a + 3*d, -7*d + 3*d = 4*a - 8. Suppose 0 = j + a*h - 9, j + 0*h = 5*h + 2. What is the highest common factor of j and 56?
7
Let v(z) = z - 6. Let q be v(3). Let y = q + 12. Suppose 0 = -3*b - b + 36. Calculate the greatest common factor of y and b.
9
Let z be 2/((-56)/(-12)) + (-228)/(-7). Calculate the greatest common factor of 1419 and z.
33
Let a = 27 + -16. Suppose -2*s = -5*s - 24. Let o(k) = k**3 + 8*k**2 - 8*k - 9. Let i be o(s). Calculate the greatest common divisor of i and a.
11
Let d(c) = c**2 + 3*c + 3. Let u be d(-5). Let i = u + -9. Let b be (-702)/(-7) + i/(-14). What is the highest common factor of 10 and b?
10
Suppose 4*g - 8 = 2*g. Suppose g*o + o = 105. Let m(n) = n**3 + 15*n**2 + 18*n + 1. Let w be m(-13). What is the greatest common divisor of o and w?
21
Let v(p) be the third derivative of -5*p**4/8 - 5*p**3/6 - 10*p**2. Let i be v(-5). What is the highest common factor of i and 14?
14
Let c be (-2 + (10 - 2))*1/3. Suppose 23 = 3*l - 2*n - 189, -c*n = -4. Calculate the greatest common factor of 8 and l.
8
Suppose -r = t - 2*t, -2*t - 35 = 5*r. Let a = 2 + -16. Let j be (a/(-8))/(r/(-40)). What is the highest common divisor of j and 7?
7
Suppose -2*m = -6*m + 20. Suppose m*a - 5 = 4*t - 7*t, 5*t + 5 = -5*a. Suppose a*p - 5*p + 297 = 0. What is the highest common divisor of 27 and p?
27
Suppose -5*n + 4 = -26. Suppose -112 = -n*l - l. Calculate the greatest common divisor of 112 and l.
16
Let b = -1940 + 2858. What is the greatest common divisor of 204 and b?
102
Let o = 4 - -11. Suppose 3*n - 6 = 39. What is the greatest common factor of o and n?
15
Suppose -45*o + 46*o - 168 = 0. What is the highest common factor of o and 7?
7
Let p(n) = 9*n - 221. Let i be p(26). Calculate the greatest common factor of i and 299.
13
Let j be -9 + (0/(-2))/(-4). Let v be 3/(j/(-6)) + 14. Suppose -c + 3 = 0, 3*c = 4*p - v - 15. Calculate the highest common divisor of 50 and p.
10
Let s(t) = t**2 - 8*t - 294. Let m be s(22). Calculate the greatest common divisor of m and 371.
7
Let p(z) = -z**3 + 4*z**2 + 7*z - 7. Let h be p(5). Suppose h*r - 16 = 5. What is the highest common factor of 63 and r?
7
Let n be 8/((-90)/27*3/(-45)). What is the highest common factor of 864 and n?
36
Let s = -181 - -262. What is the greatest common factor of s and 3?
3
Let y(z) = z**3 + 4*z**2 + 5*z + 2. Let n be y(6). What is the greatest common divisor of 280 and n?
56
Let b = -12 + 3. Let i = 32 + b. Calculate the greatest common divisor of 115 and i.
23
Let t be (-3 + -1)*(-22 - 8). Calculate the highest common factor of 15 and t.
15
Suppose -k - 6*a = -2*a - 10, -5*a = -2*k - 6. Let y be ((-9)/15)/(k/10) + 7. What is the highest common divisor of y and 28?
4
Suppose -t + 2*z + 2822 = 2*t, -4*t = -4*z - 3756. What is the greatest common divisor of 59 and t?
59
Let s(u) = -u**3 - 29*u**2 + 32*u + 69. Let w be s(-30). What is the greatest common divisor of 6 and w?
3
Suppose 2*l - 3*f - 378 = 0, 2*l + 4*f + 0*f - 406 = 0. What is the greatest common divisor of l and 78?
39
Suppose -4*y + 103 + 401 = 0. Let m(x) = -x**3 + 46*x**2 - x + 60. Let u be m(46). Calculate the greatest common divisor of u and y.
14
Let d = -93 + 93. Suppose 5*h - 4*p + 9*p - 65 = 0, h + 2*p - 18 = d. Suppose 48 = t + 3*t. What is the highest common factor of h and t?
4
Let j = -8 + 15. Let k = j - -14. Calculate the highest common factor of 147 and k.
21
Let l(c) = 28*c - 63. Let v be l(9). What is the greatest common factor of v and 54?
27
Suppose -4*w - 300 = -10*w. Let d be (-30)/6*w/(-2). Calculate the greatest common divisor of d and 25.
25
Let o(n) = -n**2 + 10*n - 1. Let k be o(9). Calculate the greatest common divisor of k and 316.
4
Let o(a) = a + 32 + 0*a - 6*a - 90. Let s