Let f = 157 + -144. Let g(p) be the first derivative of -2*p**2 + p + 1. Let m be g(-3). What is the greatest common divisor of m and f?
13
Let z = -4 + 2. Let p = 2 + z. Let h = p + 5. Calculate the greatest common factor of h and 45.
5
Let a be (-9)/21 - 67/7. Let b be (-11)/2*(-28 - a). What is the highest common factor of 9 and b?
9
Let d(r) = r**3 + 6*r**2 - 7*r + 8. Let c be d(-7). Suppose 6*k - 2*k = c. What is the greatest common factor of k and 10?
2
Let s = 14 - -6. Suppose -2*o + 6 = o. Let z(a) = -a**3 + 6*a**2 - 3*a. Let g be z(o). What is the greatest common divisor of s and g?
10
Let p be (23 + 1)/(-2 + 3). Calculate the highest common factor of p and 16.
8
Suppose 0 = 2*v + 3*h - 3, -3*v - h - 2 + 10 = 0. Let f(b) = 3*b**3 - 3*b**2 + 2*b - 1. Let y be f(2). What is the greatest common divisor of y and v?
3
Suppose 2*i + 43 = -5*y + 487, -2*i - 6 = 0. Calculate the greatest common divisor of y and 18.
18
Let y(i) = i**3 + 10*i**2 + 4*i + 42. Let l be y(-10). Calculate the highest common divisor of 11 and l.
1
Let w be (-3 - -2)*-3*1. Let m be (4 - (w + 0))*130. Suppose 3*g + 2*g - 125 = 5*p, 5*g - 3*p = 127. What is the highest common factor of g and m?
26
Let t be (1 - -1*2) + -1. Suppose -5*c + 4*y = -74, t*c - 24 = 5*y + 9. What is the greatest common factor of c and 7?
7
Let o be (-16)/(((-4)/(-2))/(-8)). Suppose 3*t - i - o = 0, -3*t + 7*t - 100 = 5*i. Calculate the greatest common divisor of t and 80.
20
Let k(b) = -b**3 - 16*b**2 + 35. Let v be k(-16). Suppose -2*q = -4*q + 10. What is the greatest common factor of q and v?
5
Let p(g) = g**3 + 7*g**2 - 3*g + 3. Let n be p(-7). Suppose -3*k - 5*m = -39, 3*k + 4*m - 5 = 31. Calculate the greatest common divisor of n and k.
8
Let r = 9 - 8. What is the greatest common divisor of 5 and r?
1
Let f be (-3 - 0)*112/(-21). What is the highest common divisor of 112 and f?
16
Let i(q) = q**3 - 2*q**2 - 2*q + 6. Let n be i(3). Calculate the highest common divisor of n and 33.
3
Let d = 41 - 19. Suppose x = c - 1, c + 4*x = 6*c - 2. Let h be (-165)/c*12/18. Calculate the greatest common factor of h and d.
11
Suppose 3*v = 5*v - 2. Let f be (-5 - -2) + 15 - v. What is the highest common divisor of 1 and f?
1
Suppose z = 52 + 14. What is the highest common factor of z and 44?
22
Let r = 7 - 10. Let z = 5 + r. What is the highest common factor of 2 and z?
2
Let s be 4 + 0/(1/1). Let p(d) = 2*d**2 + 3*d + 2. Let r be p(-2). Suppose -r*w - w = -100. Calculate the greatest common factor of w and s.
4
Let m = -29 + 59. Let h be (-4609)/(-22) + 1/2. Calculate the highest common divisor of m and h.
30
Let k be (60/(-45))/(1/(-3)). Suppose -u - 45 = -k*u. What is the highest common divisor of u and 30?
15
Let c(d) = -d**2 + 6*d - 5. Let g be c(4). Suppose -5 = -g*k + 25. Suppose 4*a - 448 = 3*t - 5*t, -16 = -4*t. Calculate the highest common factor of k and a.
10
Suppose 35 = -5*q - 4*a, 0*a + 4*a - 20 = 0. Let w = 8 - q. Let g = 2 + 17. Calculate the greatest common factor of g and w.
19
Let x(v) be the second derivative of -4*v**5/5 - v**3/6 + 2*v. Let i be x(-1). Suppose 19 = m - i. What is the highest common divisor of m and 24?
12
Let s(u) = u**3 - 4*u**2 - 4*u + 6. Let m be s(5). Let b = -15 + 32. Suppose 5 = y - b. Calculate the greatest common divisor of m and y.
11
Let g = 169 + -119. Calculate the greatest common factor of g and 25.
25
Suppose 0 = 2*i + 6, -w - i - 3*i = 5. Calculate the greatest common divisor of w and 28.
7
Let k(s) = 39*s**3 - s + 1. Let q be k(1). What is the highest common divisor of q and 195?
39
Suppose 137 = 2*n + 5*m, 4*m + 0*m = -n + 76. What is the highest common factor of 4 and n?
4
Let k be (-78 + 6/(-3))/(-1). Suppose 0 = 2*m + 3*m - k. Suppose -5*d + 2*s + 130 = 0, -d + 44 = s - 5*s. What is the greatest common factor of d and m?
8
Let a = 41 + -17. Suppose -s = 2*s - a. Suppose -s - 12 = -2*k. What is the greatest common factor of 2 and k?
2
Let n be (-2)/(-4) + 75/10. What is the greatest common factor of n and 52?
4
Let d be 11/3 - (-2)/(-3). Let g(c) = c**3 + 12*c**2 + 11*c + 6. Let y be g(-11). Let w = y - d. What is the greatest common divisor of w and 6?
3
Let y(x) = -5*x + 2. Let i be y(-2). Suppose -6*o + 19 = 1. Let r = i - o. What is the greatest common divisor of 45 and r?
9
Let u be (-1 + 3)/((-2)/(-143)). Let x = -31 + 44. Calculate the highest common divisor of u and x.
13
Suppose -6 = -3*n - 0*n. Let s be 98 + 3*n/3. Let q be s/(-2)*(-1)/1. What is the greatest common factor of q and 10?
10
Let l(g) = -g + 9. Let j(t) = t**2 + t + 1. Let s be j(-3). Let v be l(s). What is the highest common factor of 3 and v?
1
Let w be 26 + -6 + 2 + 1. What is the greatest common divisor of 69 and w?
23
Suppose -6*d + d + 825 = 0. Let p = -28 + 43. What is the greatest common divisor of d and p?
15
Suppose 0 = 3*t + g - 65, 5*t = -g + 53 + 54. What is the highest common factor of 189 and t?
21
Suppose 0*y - 27 = 3*y + 3*p, 0 = -p - 2. Let l be ((-60)/(-21))/((-2)/y). Calculate the highest common factor of l and 110.
10
Let g be (8/(-24))/((-2)/18). Suppose -3*x - 15 = -l + 8, g*l + 5*x + 1 = 0. Calculate the highest common factor of 4 and l.
4
Suppose 4*q = -3*l + 70, 3*l + q = 4*l - 21. Let x be 1/(2 - (-42)/(-22)). What is the highest common divisor of x and l?
11
Let v be 9 + -4 + 2 + 0. What is the highest common factor of v and 28?
7
Let z = -127 - 13. Let u = z - -206. What is the highest common factor of u and 6?
6
Suppose 3 = -2*k + 13. Let o be (-1)/((-3)/(-3)) + 29. Let f be (-15)/(-21) - (-8)/o. What is the greatest common factor of f and k?
1
Let n = 220 - 154. Let b = -8 - -14. Calculate the highest common divisor of n and b.
6
Suppose 0 = -5*q, 2*g + 3*g + 90 = -q. Let m = g - -34. What is the greatest common factor of m and 4?
4
Let f(k) = -3*k**3 - 2*k**2 + 2*k + 3. Let x be 1/((3/9)/(-1)). Let a be f(x). Suppose -8*g + a = -3*g. What is the greatest common factor of g and 12?
12
Suppose -3*h - l + 86 = 0, -3*h + 2*h + 47 = 4*l. What is the greatest common factor of h and 243?
27
Let k be -1*4/12*-36. What is the greatest common factor of 12 and k?
12
Suppose a = 4 - 2. Let j = a + 25. Let t = -7 + 16. Calculate the greatest common factor of j and t.
9
Let z = 150 - 135. Suppose 0*n - 525 = -5*n. Calculate the greatest common factor of n and z.
15
Let l be -6 - -12 - (-2 + 3). What is the greatest common factor of 35 and l?
5
Suppose -14*v = -0*v - 420. What is the highest common factor of 70 and v?
10
Let o(w) = -8*w. Let l be o(-6). Let g = 25 + -19. What is the highest common factor of l and g?
6
Let c = -5 - -10. Suppose 5*g + 2*y - 40 = 0, -4*g + 2*g + c*y = -45. What is the greatest common factor of g and 10?
10
Let r = -14 - -21. Suppose -r = -h + 15. Calculate the greatest common divisor of 33 and h.
11
Let c(a) = a**3 - 7*a**2 + 7*a - 8. Let r be c(6). Let g be 5/(25/r)*-75. Let x = 12 - 0. What is the highest common divisor of x and g?
6
Let z be 3 - (-4)/(8/14). Let w be (-256)/(-6) + z/(-15). Calculate the greatest common factor of 63 and w.
21
Suppose 117 + 30 = 3*a. Let l = a + -35. Suppose 4*x - 34 = -2*n, 2*x - 76 = -4*n - l. Calculate the highest common divisor of n and 5.
5
Suppose -249 = z - 28. Let l = -131 - z. Suppose 0 = 2*s + 30 - l. What is the highest common divisor of s and 75?
15
Let c be -2 - -4*2/(-8). Let r be 148/20 - c/5. What is the highest common divisor of r and 48?
8
Let b(g) = g**3 + 6*g**2 - g + 4. Let y be b(-6). Suppose 0 = 2*l - y, -s + 4*s - 47 = -l. Calculate the highest common divisor of s and 14.
14
Let j(h) = h**3 - 2*h + 2. Let g be j(2). Suppose -5*n + 329 = 59. Calculate the greatest common factor of g and n.
6
Let n = -55 + 60. What is the greatest common factor of n and 1?
1
Suppose 11 = -0*s + s. Let m be (-9)/(-3) - (2 - 10). Calculate the greatest common divisor of s and m.
11
Let z be (-2 + -1)*1/(-3). Let v = z - -1. Let p(j) = -j**3 + 4*j**2 + j - 4. Let f be p(3). What is the highest common factor of v and f?
2
Suppose 0 = -2*y + 3*w + 2*w + 52, y + 4*w - 52 = 0. Calculate the greatest common factor of y and 9.
9
Let h(g) = -g**3 + g**2 + g + 21. Suppose 0 = 4*p + p. Suppose -2*l + 0*l = p. Let i be h(l). What is the highest common factor of 14 and i?
7
Let t = -10 + 17. Le