
Let v = -5 + -1. Let f be (-8)/v - (-4)/6. Let t be (-4)/(-1 + (-3)/(-5)). What is the highest common divisor of f and t?
2
Suppose -5*i = -32 - 13. Let g = 22 - 18. Let p(k) = 23*k - 2. Let w be p(g). Calculate the greatest common factor of w and i.
9
Let s(b) = -b - 12. Let j be s(-13). Calculate the greatest common divisor of 7 and j.
1
Let i(x) = x + 17. Let k be (-1)/(-1 + (-6)/(-7)). Let q be i(k). Calculate the highest common divisor of q and 60.
12
Let t = -2 + 6. Suppose -4*v = -7 - 9. Let i = -2 + v. Calculate the greatest common factor of t and i.
2
Suppose -2*x + 20 = 2*x. Suppose -26 + 86 = x*q. Calculate the greatest common factor of 12 and q.
12
Let h(j) = -2*j - 6. Suppose 7*q - 3*q = 20. Let b be h(q). Let s = b + 22. What is the highest common factor of 18 and s?
6
Suppose -3*d + 48 + 11 = -2*y, -4*d = 3*y - 56. Calculate the greatest common divisor of d and 34.
17
Let u(j) = -2*j + 1 - 3*j**2 - 5 + 6*j + 5*j**3 + 3. Let c be u(2). What is the highest common factor of 14 and c?
7
Let c = 2 + 2. Let a be (-3)/12 + 73/c. What is the highest common factor of a and 9?
9
Let m(b) = -19*b - 20. Let d be m(-8). What is the greatest common divisor of 12 and d?
12
Suppose 0 = -5*n + c + 713, -3*c + 547 + 174 = 5*n. Suppose 3*b = 56 - 17. What is the greatest common factor of n and b?
13
Let x = -5 + 7. Let n be (x/1 + -1)*3. Let q(y) = 14*y + 3. Let l be q(n). Calculate the greatest common divisor of 30 and l.
15
Let n = 42 - 15. What is the highest common divisor of n and 18?
9
Suppose -f + 4*f = -18. Let d be (f/(-4))/((-7)/(-70)). Let l be 6*(1 - (-6)/4). What is the greatest common divisor of d and l?
15
Let z be (-5 + (-20)/(-8))/(2/(-56)). Calculate the greatest common factor of 20 and z.
10
Suppose -3*w = -5*g - 92 - 58, g - 3 = 0. Let m = -38 + w. Let h = -2 + m. What is the greatest common factor of 90 and h?
15
Let x be 6/(3*(-2)/(-9)). Let c be 3/(-1) + -2 + 14. What is the highest common factor of c and x?
9
Suppose -4*g - g = -15. Suppose 24 + 42 = 2*h + 4*u, g*u = 0. Calculate the greatest common divisor of 11 and h.
11
Suppose -2*c = 3*c. Suppose 0 = a - c*a - 6. Let r be 1/(-2)*-2*66. What is the greatest common factor of a and r?
6
Suppose -5*j + 3*j = -20. Let r = -16 - -46. Calculate the highest common divisor of r and j.
10
Suppose o - 408 = -3*x, -4*x + o + 544 = -3*o. Let g(i) = 2*i**2 + 6*i - 3. Let c = 8 + -13. Let m be g(c). What is the highest common factor of m and x?
17
Suppose -2*i + 2*f = -3*i + 49, 0 = i - f - 43. What is the greatest common factor of 9 and i?
9
Let r(c) = c**2 + 4*c + 3. Let p be r(-3). Let h be -2*(p/2 + -11). Let a be h/((2 + 0)/4). Calculate the greatest common divisor of 11 and a.
11
Let x(c) = 2*c**2 + 6*c + 8. Let n be x(-7). Calculate the highest common factor of 8 and n.
8
Suppose -162 = -4*k + 2*k. What is the highest common factor of k and 9?
9
Let p be -2*-10*1/4. Suppose -7*a - 536 = -p*a. Let u be 2/10 + a/(-10). What is the highest common factor of u and 3?
3
Let p(k) = -k + 9. Let m be p(5). Suppose 3*g = m*u - 57, g = 2*u - 3*u + 9. Let a be (-10)/(-8) - 3/u. Calculate the highest common divisor of 9 and a.
1
Let h = -44 - -93. What is the greatest common divisor of h and 14?
7
Let d(o) = -o**2 - 4*o + 3. Let g be d(-4). Calculate the highest common divisor of g and 3.
3
Let a be (-1)/(-2) + 9/2. Suppose 0 = -4*w - 3*u - 7, 0 = w - 4*w - a*u + 3. Let h be w*-7*2 + 0. What is the greatest common divisor of 7 and h?
7
Let m be (-4)/18 + (-6)/(-27). Let j = 5 - m. What is the greatest common factor of 15 and j?
5
Let a(i) = -i + 33. Let o be a(0). What is the highest common divisor of 11 and o?
11
Let n be (-7)/21 - (-241)/3. Let d = -10 - -20. What is the greatest common divisor of d and n?
10
Let y be (8/(-14))/((-2)/7). Let f(u) = -u**3 + 3*u**2 - 3*u. Let d be f(y). Let p be (d/6)/((-8)/72). What is the highest common factor of 33 and p?
3
Let f = 15 - 10. Suppose -4*w - i + 0*i + 223 = 0, -4*i = -4*w + 208. Calculate the greatest common divisor of w and f.
5
Suppose 4*v - 2*a - 6 = 0, 0*a + 21 = 5*v + 2*a. Let c be (46/v)/(4/30). Calculate the highest common divisor of c and 23.
23
Let j = 61 - 40. Calculate the greatest common divisor of j and 63.
21
Let s(u) = 7*u**2 - 4 - 3*u + 5*u + 3. Suppose -2*n = n - 3. Let p be s(n). What is the highest common factor of 64 and p?
8
Suppose -3*p + p = -20. Let g = -4 - 3. Let k = g + 37. Calculate the highest common factor of p and k.
10
Suppose p + 8 = -3*u + 358, -5 = 5*p. Let b be (-1 + -8)*(0 + 1). Let f be (39/(-9))/(3/b). What is the greatest common divisor of f and u?
13
Let b(l) = -9*l + 13. Let f be b(-3). What is the greatest common divisor of 40 and f?
40
Let o(a) = -5*a. Suppose 4*n + j = -3*j - 24, -5*n - 48 = -4*j. Let f be o(n). What is the highest common factor of f and 16?
8
Let g be 3/18 - (-1005)/18. Suppose -3*z + g = p + 4*p, 36 = 2*z + 2*p. Suppose -4*v + 91 + z = 0. What is the greatest common factor of 9 and v?
9
Let s be (3 + -1 + -5)*-9. What is the greatest common factor of s and 216?
27
Let i be (4/6)/((-2)/(-15)). Suppose 2*n - 4*v - 124 + 0 = 0, i*v = 3*n - 191. What is the greatest common divisor of n and 18?
18
Let w be (-18)/2*(-1)/(-1). Let t be (-6 + 0)*6/w. Suppose t*f - 108 = -0*f. What is the highest common factor of f and 3?
3
Suppose 13*h = 3*h + 400. Calculate the highest common divisor of 5 and h.
5
Suppose 2*h - 4*h + 70 = 0. Let v be 2/4 + h/2. What is the highest common divisor of 162 and v?
18
Let v(f) = -f**3 + 8*f**2 - 10*f + 8. Let c be v(6). Calculate the greatest common divisor of c and 20.
20
Let p be ((-50)/(-15))/(2/33). Let j = p + 17. Calculate the greatest common divisor of 8 and j.
8
Let b(v) = v + 9. Let y be b(-7). Suppose -2*z = 2*z + 3*a - 9, y*z - 2*a = 8. Calculate the greatest common factor of z and 2.
1
Suppose -p - 3 = 0, 71 = -5*r - 6*p + 4*p. Let n = 18 + r. Suppose m + 4*f - 19 = 2*f, n*m - 5*f = 125. What is the greatest common factor of m and 23?
23
Let y(o) = -o**3 + 5*o**2 + 6. Let u be y(5). Suppose 120 = u*j - j. Calculate the greatest common factor of j and 8.
8
Suppose s - 5*m = 3*s - 109, -2*m + 124 = 2*s. Suppose -3*g = 2*v - 56, -4*g + s = 4*v - 9*v. What is the highest common factor of 162 and g?
18
Suppose 23 = -3*w + 5*p - p, -w + p - 8 = 0. Let a(g) = g**3 + 8*g**2 - 8*g + 13. Let c be a(w). What is the highest common factor of c and 10?
2
Let i = 91 - 43. What is the greatest common divisor of i and 16?
16
Suppose 10*l - 7*l = 72. What is the highest common divisor of 84 and l?
12
Suppose -4*s + 5*s = 8. Let y be (-9)/(-12) - (-10)/s. Calculate the highest common divisor of y and 2.
2
Let y(r) = -r - 6. Let o be y(-22). What is the greatest common divisor of 16 and o?
16
Let d be 4/10 + 24/15. Let m(q) = 4*q**2 + q**d - 6 + 2 + 5*q. Let s be m(-4). Calculate the greatest common factor of s and 7.
7
Suppose 15 + 20 = 5*c. Let y be (42 + 0)*(-6)/(-4). Calculate the greatest common factor of y and c.
7
Let u = -48 + 68. Calculate the highest common factor of 120 and u.
20
Let o(r) = 5*r**3 - 2*r**2 + r. Let q be o(1). Suppose 68 = q*i + 4. Suppose 2*g = i + 8. What is the highest common divisor of g and 18?
6
Let i(v) = -v**3 - v**2 - 5*v - 4. Let b be i(-3). Let g be 1/(5/2) + 29478/255. Calculate the highest common divisor of b and g.
29
Suppose -3*g = 2 - 8. Let b(t) = 20*t. Let c be b(g). Calculate the greatest common factor of c and 16.
8
Suppose 5*x - f + 0 = 2, -5*f - 10 = 5*x. Suppose 2*z = -x*z + 216. Calculate the highest common divisor of z and 12.
12
Suppose 4*d + 5*l + 83 = 0, 4*d + 86 = -3*l + l. Let x = -3 - d. Suppose b + 2*o - 1 + 8 = 0, -2*b = 5*o + x. Calculate the highest common factor of 12 and b.
3
Let d(x) = 2*x**2 + 6*x. Suppose 1 = -2*k - 7. Let n be d(k). Suppose -a = -4*s + 13, 2*s + 0*s = n. What is the highest common divisor of 24 and a?
3
Suppose 229 = 3*w - 4*o, o - 5*o - 4 = 0. Calculate the greatest common factor of w and 30.
15
Let p = -16 - -21. Suppose -28 = 2*x - 98. Calculate the greatest common divisor of x and p.
5
Let a be (-4)/6 + (-696)/(-18). Let t = 101 - a. Let r(f) = f**2 - 4*f - 3. Let i be r(-2). Calculate the highest common divisor of t and i.
9
Let x be (3 - 0)*(-53)/(-3). Suppose 2 = 5*i -