and r.
4
Let c = -24 - -26. Suppose 7 = -g - 4*y, -2 = -0*g + c*g + 5*y. Calculate the highest common divisor of g and 63.
9
Let j(z) = z**3 - z**2 + z - 1. Let f be j(2). Suppose 5*h = -d + 6*d + 215, f*h = -3*d - 113. Let p = 86 + d. What is the greatest common factor of p and 15?
15
Let k be (4 - 1) + -1 + 3. What is the highest common factor of k and 30?
5
Suppose 3*p - 5*p + 5*q + 485 = 0, p + q = 239. Calculate the highest common divisor of p and 30.
30
Let r = 6 - 3. Suppose 4*x - 10 = 5*o, -o - r = -2*x - 1. Let p(f) = f**2 + 2*f + 2. Let u be p(o). Calculate the greatest common factor of u and 18.
2
Suppose 2*b + 110 = -3*b. Let q = 11 - b. What is the highest common factor of 22 and q?
11
Suppose -12 = -4*y - 8. Let x be y - (1 + -6 + 3). Calculate the greatest common divisor of x and 6.
3
Let s(r) = -r**3 + 11*r**2 + 14. Let v be s(11). What is the greatest common factor of 42 and v?
14
Suppose 3*j + 2*v - 2070 = 0, -3*j + j + 4*v = -1364. Suppose 0 = -3*t - 94 + j. Calculate the greatest common divisor of t and 18.
18
Suppose f = 2*i + 2, -2*i + 0*i - 10 = 3*f. Let j be 620/8 + 3/f. Suppose 4*g + 2*z = 3*z + j, -2*g = z - 44. Calculate the greatest common factor of 30 and g.
10
Suppose -6 = -3*r + 6*r. Let m(z) = 4*z**2 + z. Let p be m(r). Let d be (-7)/21 + 44/6. What is the highest common divisor of p and d?
7
Let p(q) = 5*q**2 + 3*q + 2. Let f be p(-2). Suppose 0 = 4*k - 2*z - f - 358, 178 = 2*k + 2*z. What is the highest common divisor of k and 23?
23
Let s be 1/7 + 65/35. Let y(p) = p**3 - p**2 + p + 2. Let l be y(0). Let o be (5/l)/5*36. What is the greatest common divisor of o and s?
2
Let s(f) = f**2 - 3*f + 8. Let t be s(3). What is the greatest common factor of 24 and t?
8
Suppose -4*p + c + 4*c = -108, -3*c = 3*p - 108. Calculate the greatest common factor of p and 8.
8
Let p(r) = r**3 - 2*r**2 - r + 5. Let y be p(3). Suppose -y*h + 6*h + 10 = 0. Calculate the highest common factor of h and 5.
1
Suppose -46 = -6*p - 16. Calculate the highest common divisor of 20 and p.
5
Suppose b + b = 8. Calculate the greatest common factor of 6 and b.
2
Let n(d) = 5 + d**3 - 2*d**3 + d - d**2 + 0*d**3. Let k be n(0). Calculate the highest common factor of 10 and k.
5
Suppose -y + 3*r = 4, -y - y - 3*r + 28 = 0. Let p = 57 + -41. Suppose -4*n = -3*z + p, 3*n = -z + 3 + 11. Calculate the greatest common divisor of z and y.
8
Let k be ((-180)/14)/((-24)/224). Calculate the highest common divisor of k and 15.
15
Let b = -45 - -95. What is the highest common divisor of b and 20?
10
Let a(h) = 12*h**2 + h - 2. Let j be (-11)/4 + 9/12. Let s be a(j). What is the highest common divisor of 11 and s?
11
Let b = 358 - 253. What is the highest common factor of 21 and b?
21
Let p(t) = -t**2 + 12*t + 9. Let y be p(12). What is the greatest common divisor of y and 1?
1
Let t = -6 - -8. Suppose -t*n + 10 = -86. What is the highest common factor of 6 and n?
6
Suppose 0*f - 9 = x - 4*f, -4*f + 13 = -5*x. Let q = 7 - x. Suppose 2*p = 3*p - 16. Calculate the greatest common factor of q and p.
8
Let n be 6/10 + 44/10. Suppose 4*l = -5*v + 58, -n*l - 85 = -5*v - 0*v. Let x = 217 + -105. What is the highest common divisor of v and x?
14
Let v = 8 + 24. Suppose 0 = -7*s + 9*s - 8. Calculate the greatest common factor of v and s.
4
Suppose w + 2*d = -1, 5*d = -2*w + 7*w - 55. Let z(q) = q**2 + 2. Let c be z(w). Suppose -4*a = -163 + c. What is the highest common factor of a and 4?
4
Let v(h) = 6*h - 8. Let l be v(8). Suppose 4*i + w - 88 = 3*w, 4*w - l = -i. What is the greatest common divisor of 60 and i?
12
Let m(t) = 9*t + 2. Let y be m(2). What is the greatest common divisor of y and 30?
10
Let t be (3 + (-20)/6)*-12. Suppose -3*w + t*h + 22 = -24, 0 = -3*w + 2*h + 44. What is the greatest common factor of 14 and w?
14
Let a = 29 - -19. Calculate the highest common factor of 6 and a.
6
Let i(r) be the first derivative of r**2/2 + r - 2. Let c be i(-1). Suppose -4*t + c*t + 3*h = -51, -4*h = -12. What is the greatest common divisor of 45 and t?
15
Let h(r) = 2*r**2 + 8*r - 3. Let x be h(-6). Suppose -36 = -3*w + 5*q, 0*w + 5*w - 3*q = 44. What is the greatest common divisor of w and x?
7
Let y be (-3)/(-7) + ((-486)/(-42) - 0). What is the greatest common factor of y and 108?
12
Let l(j) = 52*j**2 - 2. Let r be l(2). Suppose 0*i + r = 5*m + 2*i, -2*m + 83 = i. What is the greatest common factor of 8 and m?
8
Let b = 5 - 4. Let q be 0/(((-4)/b)/2). Suppose -5*n + 2*l + 27 = q, 4 + 2 = 2*n + 4*l. Calculate the greatest common divisor of n and 25.
5
Suppose -16 + 1 = -3*i. Suppose 0*z - 146 = -i*z - 4*u, -z - u + 29 = 0. Suppose -j - z = -3*j. What is the highest common divisor of 15 and j?
15
Let w be ((-5)/4)/(5/(-40)). Let i(o) = o**3 - 11*o**2 + 12*o - 10. Let g be i(w). Calculate the greatest common factor of g and 40.
10
Let h = -7 + 4. Let l(c) = -6*c**3 - 4*c**2 - 2*c + 3. Let a be l(h). What is the highest common factor of 27 and a?
27
Suppose f - 18 = -4*o - 2, -o + 11 = 2*f. Calculate the highest common divisor of o and 27.
3
Suppose 2*o - 4 = 4*h + 20, o = 4*h + 20. Calculate the greatest common divisor of 32 and o.
4
Suppose 3*d + 138 = 2*b, 2*b + d = -0*b + 154. Suppose -2*t - t + b = 0. Calculate the greatest common divisor of 5 and t.
5
Let o = 31 - 18. Let x(b) = b**3 - b**2 + 91. Let m be x(0). What is the highest common factor of m and o?
13
Let i(o) = -o**2 + 10*o - 5. Suppose 25 = q + 4*q. Let z be i(q). Calculate the greatest common factor of z and 10.
10
Suppose 15 = -13*a + 249. Calculate the highest common divisor of 306 and a.
18
Let u be -2 + (-8)/(-2) - 4. Let d be u/(-6) + 95/3. Suppose -c = c - d. What is the greatest common divisor of 176 and c?
16
Let n(x) = -2*x. Let u be n(-3). Suppose -2*h + 7 - 24 = v, -4*h = -v - 5. Let i = v + 19. Calculate the highest common divisor of i and u.
6
Let z = -158 - -389. Let f be (167/4 + -2)*-4. Let l = z + f. What is the greatest common divisor of l and 9?
9
Let o(k) = k**2 + 2*k - 22. Let i be o(-13). What is the greatest common divisor of i and 11?
11
Let x = 16 - 14. What is the highest common divisor of 18 and x?
2
Let n be (-2)/6*0 - -16. Let w be 1 - 0 - (2 - 3). Suppose 0 = -3*r - 3*q, 5*r = -w*q + 5 + 7. Calculate the highest common factor of n and r.
4
Let p(q) = -q**3 + 9*q**2 + 10*q + 12. Let u be p(10). Let r = -8 + 20. What is the highest common factor of u and r?
12
Let g be (13 + -9)*(-135)/(-4). What is the highest common factor of 27 and g?
27
Let u be 213/6 + 5/(-10). Suppose -5*s + 118 = 48. Calculate the greatest common divisor of s and u.
7
Let c be -2 + (2 + 0)*-4. Let j = -9 - c. Let z(l) = 86*l - 1. Let d be z(j). Calculate the greatest common divisor of d and 17.
17
Let l(d) = -d - 1. Let x be l(-3). Suppose 4*m - x + 34 = 3*y, m = 1. What is the highest common divisor of 4 and y?
4
Suppose -4*x = -0*x - 64. Let t(u) = -u**2 + 4*u + 2. Let d be t(4). What is the highest common factor of d and x?
2
Suppose -4*h + 75 = 4*y - 41, h - 3*y - 9 = 0. What is the highest common divisor of 12 and h?
12
Let s = 564 + -356. Calculate the greatest common divisor of 26 and s.
26
Let k(z) = -14*z. Let g be k(-5). Let n = 5 + 5. What is the highest common factor of g and n?
10
Suppose 0 = -2*k + 2. Suppose k = -3*q - 2. Let j(t) = -3*t**3 - 1. Let w be j(q). What is the highest common divisor of 2 and w?
2
Let n(u) = -5*u - 27. Let t be n(-6). What is the highest common factor of t and 2?
1
Suppose 110 = x + x. Let a be 7*3 - (-6)/6. Calculate the highest common factor of x and a.
11
Let d be 30 - 1/(-2)*-8. Calculate the greatest common factor of 182 and d.
26
Let k be 2/(3/(27 - 3)). What is the highest common factor of k and 80?
16
Let z be -2*(-1)/(-2) - -16. Let o(q) = 2*q - 9. Let y be o(6). What is the greatest common factor of y and z?
3
Let v be 1/(-1*1/(-55)). Let p be 5/3*(-3 - -6). Suppose -p*g - 23 = -3*m, 3*m + 2*g - 28 = 9. Calculate the highest common factor of v and m.
11
Let q(n) = n**2 - 6*n. Let a be q(-6). Let i(u) = -u**3 - 8*u**2 + 8*u. Let v be i(-9). What is the highest common divisor of v and a?
9
Let s(j) be the third derivative of -j**4/8 - 5*j**2. Let x be s(-4). What is the greatest common factor of x and 132?
12
Let y be (-31)/(-4) + (-3)/(-12)