x**2 + 3*x - 4. Suppose 0*h = 5*h + 35. Let m be i(h). Calculate the highest common divisor of 8 and m.
8
Let n be (2 + -1)/(13/1625). What is the highest common factor of n and 50?
25
Suppose i = -2*h + 28, -3*h - 39 = -13*i + 10*i. Let z(f) = f**2 - 5*f + 3. Let l be z(6). What is the greatest common factor of l and i?
9
Suppose 3*r = -9, -d - 93 = -4*d + 5*r. Calculate the highest common factor of 286 and d.
26
Suppose 0 = 2*z - 67 + 17. What is the greatest common factor of z and 25?
25
Suppose y = -0*y + 3. Let f = y + 0. What is the greatest common factor of 33 and f?
3
Let c be 5 - (-3 + 6) - -1. Suppose -f + 8 = c. Calculate the greatest common factor of f and 10.
5
Suppose 311 = -2*o + 4*o - j, o - 4*j = 166. What is the highest common factor of 14 and o?
14
Suppose r - 43 + 17 = 0. Calculate the highest common factor of 286 and r.
26
Suppose 2*z + 2*z = -5*q, -8 = 2*q. Let g = 13 + z. What is the highest common divisor of g and 27?
9
Let r(a) = a**2 - 3*a - 6. Suppose o + 2*o - 5*d - 18 = 0, -6 = -o + 3*d. Let k be r(o). Calculate the greatest common divisor of k and 132.
12
Suppose 0 = 5*d - 0*d - 10. Suppose 3*l = 2*l + d. Suppose n + l = 9. What is the highest common divisor of n and 28?
7
Suppose 2*m = -8*m + 960. What is the highest common factor of m and 48?
48
Let b be 1 + (4 + -1 - 1). Suppose -2*f - 4 = -2*o - 2*o, -8 = -b*f - o. Let c = 2 - 1. What is the highest common factor of c and f?
1
Suppose 26 = 5*o + 3*f, -f = 4*o + 4*f - 26. Suppose -7*h + o*h = -r - 245, r = -5. Calculate the highest common divisor of 20 and h.
20
Let r be 520/9 + (-4)/(-18). Let c = -37 + r. What is the highest common factor of c and 7?
7
Suppose -5*s - 3*p + 235 = -2*p, -4*s + 5*p = -217. Calculate the highest common divisor of s and 6.
6
Let d be ((-66)/(-4))/(3/18). Let m = -9 + 18. Suppose 0 = -5*b + 6*b - m. What is the highest common divisor of b and d?
9
Suppose -4*h + 16 = 4*d, -d - 2*h = -7*h + 2. Suppose d*l = 13 + 8. What is the greatest common divisor of l and 63?
7
Let v = -1 + 3. Let a be 2/(-5) + (-124)/(-10). Suppose 0*g - a = -g. What is the highest common factor of g and v?
2
Let t be (-2)/5*30/(-3). Suppose -2*q = -t*q. Let n(v) = -v**2 + v + 1. Let p be n(q). What is the greatest common divisor of 7 and p?
1
Suppose -4*c = 3*v - 36, 0 = 4*v + 2*c - 18 - 40. Calculate the highest common divisor of v and 176.
16
Suppose 0 = -6*p + p + 30. Calculate the highest common factor of 12 and p.
6
Let z be (-2)/7 + (-32)/(-14). Suppose w + w + 2 = z*r, -5*w = 2*r + 5. Suppose r = -k - 4*k + 480. What is the greatest common divisor of 12 and k?
12
Suppose -3*b = v - 1, 5*b + 3 = -7. Calculate the highest common divisor of v and 63.
7
Let l = 2 + -2. Suppose l*i + 3*i = -4*c + 34, c = 4. Let j be 2*(-1 - (-81)/i). Calculate the highest common divisor of j and 5.
5
Let a(c) = 4*c**2 + c. Let f be -3 + 3/1 + -1. Let g be a(f). Suppose 7 = g*l - 59. Calculate the greatest common factor of l and 55.
11
Let d(m) = 14*m - 5. Let c be d(5). Let y(u) = -u + 3. Let f be y(-10). Calculate the highest common divisor of f and c.
13
Suppose -5*h - q = -997, 5*q = h - 0*q - 215. Let v = 4 + 21. What is the highest common factor of v and h?
25
Let y be (3 - 4)*1 + 16. Let a = 6 + -4. Let s be (405/(-2))/(-3)*a. Calculate the greatest common divisor of y and s.
15
Let d be 1/(3*(-1 + 102/99)). Let f be 2/4*2 + 14. Let w = f - d. Calculate the greatest common factor of w and 2.
2
Let f(n) = n**3 - n**2 - 3*n - 1. Let y be f(3). Let h = 120 - 32. Calculate the highest common divisor of h and y.
8
Let g(d) = -d**3 - 7*d**2 - 3*d + 9. Let l be g(-7). Let k = 22 + -16. Calculate the greatest common divisor of k and l.
6
Suppose 5 = -0*s + s. Suppose 153 = z + 3. Suppose -q + 0*q + 3*t + 70 = 0, 3*q + 3*t - z = 0. Calculate the greatest common divisor of s and q.
5
Suppose 17*r = 13*r + 28. What is the highest common divisor of 35 and r?
7
Let z(x) = -x**3 + 13*x**2 - 5*x - 28. Let r be z(12). Calculate the greatest common factor of 28 and r.
28
Suppose 4*t + 2*q - 16 = 0, -3*q = 4*t - t - 18. Suppose -t*f = f - 12. Suppose 0 = -2*b + 14 + 2. What is the greatest common factor of f and b?
4
Suppose 8*p - 2*p = 504. What is the greatest common factor of p and 21?
21
Suppose 4*i + 2*r = 626, -4*i + 2*r + 2*r = -596. Calculate the highest common divisor of i and 14.
14
Let a = -68 + 203. What is the highest common divisor of 54 and a?
27
Let p = -134 + 337. What is the highest common divisor of 29 and p?
29
Let k = 65 - -7. What is the highest common divisor of 16 and k?
8
Suppose -15*p = 4*p - 2052. What is the greatest common divisor of p and 24?
12
Let q(a) = 4*a**2 + 3*a - 10. Let n be q(9). What is the highest common factor of n and 31?
31
Suppose -2*a - 10 + 58 = 0. Suppose -k - 5*b - a = 0, 5*k + 3*b = k - 28. Let r be ((-60)/18)/(k/6). What is the highest common factor of 5 and r?
5
Suppose 0 = 3*f + 4*z - 224, 5*z - 72 = -f + 3*z. Calculate the highest common divisor of 20 and f.
20
Let w = -1 + 0. Let o(p) be the third derivative of -p**6/8 - p**5/60 - p**4/24 - 4*p**2. Let d be o(w). What is the highest common factor of 60 and d?
15
Let y = -9 + 11. Suppose -y*j + 4*j - 14 = 0. What is the highest common divisor of 28 and j?
7
Suppose 0 = -2*l + 3*l - 66. Suppose 3*t - t = l. Let d be 62/6 - 16/(-24). What is the greatest common divisor of t and d?
11
Let c be 163 + -3 + (-3 - -3). Calculate the highest common divisor of 20 and c.
20
Let d be 4/18 - (-88)/9. Calculate the greatest common factor of 25 and d.
5
Let l be 1 + 1 + 5 + -2. Let p be 69/l - (-5)/25. What is the highest common factor of p and 7?
7
Suppose 141 + 139 = 4*r. Suppose 4*k - k - 30 = 0. What is the highest common factor of k and r?
10
Let s be (-17)/(-8) - -2 - (-5)/(-40). Calculate the highest common divisor of 4 and s.
4
Let u(i) = 3*i - 4. Let l be u(5). Let g = l - 6. What is the highest common factor of g and 55?
5
Let b = 3 - 4. Let w(p) = p**3 + 11*p**2 - 2*p + 3. Let n be w(-11). Let q be 30/n*(4 - b). Calculate the greatest common divisor of q and 3.
3
Let l = 0 + -2. Let v be 20 - ((-4)/1)/l. Suppose 2*z - v + 4 = 0. Calculate the highest common factor of z and 77.
7
Let m = 247 + 9. Calculate the highest common factor of m and 32.
32
Suppose -k - 6 = 2*w + k, 0 = -2*w - 4*k - 14. Let i be (-88)/(-2) + 1 - w. Suppose 3*t = i + 40. Calculate the greatest common divisor of t and 4.
4
Let u(z) = 0*z**3 + 0*z - 10*z**2 + z + 4*z - 14 + z**3. Let q be u(10). Calculate the highest common factor of 18 and q.
18
Let p be ((-3)/(-6))/(1/8). Suppose -2*c + p*h + 116 = c, -3*h = 2*c - 66. Let y = -43 - -61. What is the highest common factor of y and c?
18
Suppose 0 = i - 0*i - 4. Suppose t + 2*t = -81. Let q be 3*24*(-6)/t. What is the highest common divisor of i and q?
4
Suppose -3*q + 5*d = -8*q + 35, -2*d + 8 = 0. Suppose -2*g + 9 = r, 20*g = 22*g + 4*r - 24. What is the greatest common factor of g and q?
1
Let s = 11 + 1. Let i = 5 + 7. What is the highest common factor of s and i?
12
Suppose 3*r = 3*x - 723, x + r + 4*r - 253 = 0. Calculate the greatest common factor of x and 27.
27
Let c(p) = 4*p - 5. Let f = 0 + 5. Let y be c(f). What is the highest common divisor of y and 3?
3
Let p = -5 + 9. Suppose 3*i = -3*u + 21, -p*i - 2*u = -u - 40. Calculate the highest common factor of i and 1.
1
Let o = 3 + 0. Suppose 16 = -o*q - 20. Let r = 20 + q. What is the greatest common factor of 80 and r?
8
Let p(u) = -2*u + 16. Let x be p(16). Let n = x - -31. What is the highest common divisor of n and 120?
15
Suppose r = -3*x + 78, -5*r + 5*x + 118 = -4*r. What is the greatest common divisor of r and 31?
31
Suppose 11 = 10*a - 9*a. What is the greatest common factor of a and 11?
11
Let s(z) = z - 7. Let t be s(11). Suppose -t*d + 41 = -7. What is the greatest common factor of 4 and d?
4
Suppose 0 = -2*h + 5 + 5. Suppose a - 212 = -h*o, 3*o + 2*a - 88 = o. Let m be (3 - -3)*(-7)/(-3). What is the greatest common divisor of m and o?
14
Let w be 1/((-114)/(-28) - 4). What is the greatest common factor of 28 and w?
14
Let d be (-474)/(-30) + (-1)/(-5). Suppose -2*n - d = -2*j, -3*j + 21 = -3*n + n. What is the greatest common factor of 35 and j?
5
Suppose 4*x = -x + 5. Let w = x - -2. What