
4
Let y(o) be the first derivative of -o**2/2 - o + 1. Let z be y(-5). Calculate the highest common divisor of 28 and z.
4
Let f(y) = -y**3 + 4*y**2 + 3. Let q be f(3). What is the highest common divisor of 96 and q?
12
Let w be 2 - -1 - (5 - -14). Let n be (-488)/w + (-2)/4. Calculate the greatest common divisor of 10 and n.
10
Suppose 2*i - 34 = 102. Suppose 0 = -0*k - 4*k + 4*x + i, 0 = -3*x - 6. Suppose -3*w + 20 = w. Calculate the greatest common factor of w and k.
5
Let w = -19 + 35. Let u(z) = z**3 - 10*z**2 - 9*z - 3. Let x be u(9). Let a = x - -309. What is the highest common divisor of w and a?
16
Let u(a) = -a**3 - 9*a**2 + 11*a + 22. Let t be u(-10). Calculate the highest common factor of 12 and t.
12
Suppose 4*d = 8 - 0. Suppose -d*w + 7*w = 45. Let k(z) = -73*z**3 - 2*z**2 - z. Let n be k(-1). What is the greatest common divisor of w and n?
9
Let s(t) = -t + 7. Let n be s(5). Suppose -z + n*v - 4 + 88 = 0, 4*v - 160 = -2*z. Let l be (-2)/5 - z/(-5). Calculate the greatest common divisor of l and 176.
16
Let u = 1 - 9. Let i(m) = 2*m**2 + 8*m + 6. Let v be i(u). Calculate the highest common factor of v and 28.
14
Suppose 2*v + 4*g - 856 = 2*g, -2*g - 2168 = -5*v. Calculate the greatest common divisor of 48 and v.
48
Suppose -3*l + 19 = j, 2*j + 11 = -3*l + 34. Suppose 3*u - 152 = -u. Let x be -6 + 3/1 + u. What is the highest common divisor of x and l?
5
Let b be 3/(-1) + 760/10. Let c = b + -24. Suppose 2*n = 3*n - 7. Calculate the highest common factor of c and n.
7
Suppose 0 = -t - 2, 5*t - 2 + 6 = -3*p. What is the highest common factor of 2 and p?
2
Suppose 2*w = w + 14. Let a = 18 - -13. Let n = a - 10. What is the highest common factor of w and n?
7
Suppose 2*a - a - 33 = 0. What is the highest common divisor of a and 11?
11
Let p = 65 + -37. Let a = 48 - p. What is the highest common divisor of 140 and a?
20
Suppose -i - p = 0, 3*p - 14 = 3*i - p. Let o = 1 - i. Let g(b) = b**2 - b. Let k be g(-1). Calculate the greatest common divisor of o and k.
1
Let i(c) = -c**3 + 3*c**2 + 5*c - 5. Let f be i(4). Let w be ((-60)/(-8))/f*-2. What is the greatest common factor of 165 and w?
15
Suppose -4*p - 2*r = -412, 6*p = p + 5*r + 530. Let b = 42 - 29. What is the greatest common factor of p and b?
13
Let b = 8 + 8. Let z(q) = q + 4. Let p be z(-5). Let k be p + (-1 - -1) + 5. Calculate the greatest common factor of k and b.
4
Let j be 2/(-6) - 48/(-9). Let y = 9 - j. Let q be 1 - y - -36 - 0. Calculate the highest common divisor of 3 and q.
3
Let z = 10 - 5. Calculate the highest common factor of 20 and z.
5
Let l(g) = 3*g - 9. Let c be l(6). Let m = 17 + 12. Suppose -a = n - m, -a - a + 3*n + 48 = 0. What is the highest common factor of c and a?
9
Let x(h) = -h**2 + 3*h - 1. Let s be x(2). Suppose 2 + s = -p. Let v be (18 + 1)*(-3)/p. What is the highest common factor of v and 171?
19
Suppose y + 4 = 2*y, -5*y - 12 = 4*c. Let w = 5 + c. Let b be 0 + w/(1/(-1)). What is the highest common divisor of b and 24?
3
Let p = -25 + 67. Suppose -6*t + t + 5*i - 120 = 0, 108 = -4*t - 2*i. Let r = t + p. Calculate the highest common divisor of 40 and r.
8
Suppose 0 = -13*y + 16 + 179. What is the highest common factor of 165 and y?
15
Suppose b = -2*b + 1188. Suppose -6*w + 4*w = -b. Let v be 0 + 1 + -2 + 19. Calculate the greatest common divisor of v and w.
18
Let l = 22 - -1. What is the greatest common divisor of 23 and l?
23
Let r(d) = -d**3 - 5*d**2 - 4*d - 4. Let v be r(-6). Suppose 20 = b - 0*b - o, 3*b = 2*o + v. What is the greatest common factor of 144 and b?
16
Suppose 229 = 4*d + 593. Let v be d/(-3)*(-9)/(-3). Let z be v/7 + 1/(-1). Calculate the highest common factor of 24 and z.
12
Suppose 2*a + 5*l + 5 - 19 = 0, 2*l - 14 = 2*a. Let s = a - -10. Calculate the highest common factor of 63 and s.
7
Let s(v) be the second derivative of v**4/12 - 2*v**3/3 - v**2 - 6*v. Suppose 10 = 5*d - 15. Let w be s(d). What is the greatest common factor of w and 1?
1
Let g = -13 - -48. Suppose -5*o + g = 5*w, -w - 5*o = 7 - 2. What is the greatest common divisor of w and 30?
10
Let c be 1*-198*(1 + 3)/(-8). Calculate the greatest common divisor of c and 11.
11
Suppose 2*b - 3 - 3 = 0. Suppose b*m = 2*i - 7*i + 65, i - 13 = 5*m. Let l = i + 10. What is the highest common factor of l and 161?
23
Let r be (2 - 1) + -3 + 28. Let n be 2 - ((0 - -3) + -14). Calculate the greatest common factor of n and r.
13
Suppose 4*j = 5*j - 8. Suppose j*t - 5 = 3*t. Let u be (6/3)/t*7. Calculate the greatest common factor of u and 28.
14
Let l = -58 - -72. What is the highest common factor of 154 and l?
14
Suppose 5*m = 4*z + 10 + 1, -5*m - 17 = 3*z. Let o(x) = -x + 1. Let t be o(m). Let w be 145/45 + 4/(-18). Calculate the greatest common factor of w and t.
1
Suppose 4*g + 3*i = 167, -g + 6*g + 3*i = 205. Suppose -3*h = -m + 2*m - 12, 5*m + 4*h - g = 0. Calculate the greatest common factor of m and 12.
6
Let s be 33/(-44) + (-11)/(-4). Suppose 48 = 3*t + 5*h, 5*t = 4*h - 3 + 83. Calculate the greatest common factor of t and s.
2
Let w = 69 + -33. Calculate the greatest common factor of w and 180.
36
Suppose -128 = -3*a + 5*x, 0*a - 3*a + 2*x + 116 = 0. Calculate the highest common factor of 24 and a.
12
Let t = 73 + -31. Let x be 0 + ((-2)/(-1) - 1). Let r = 5 + x. What is the greatest common divisor of r and t?
6
Let l = -50 + 55. Let z(a) = -8*a - 4. Let c be z(-3). Calculate the greatest common factor of l and c.
5
Suppose -8 + 0 = -8*h. What is the greatest common factor of 11 and h?
1
Suppose 0 = 3*u - 22 - 26. Calculate the highest common divisor of 40 and u.
8
Suppose 3*a + 14 = -145. Let h = a + 77. What is the greatest common divisor of 8 and h?
8
Suppose 3*n - 25 - 34 = -d, -3*n + 3*d + 51 = 0. Suppose -6*q = -n - 5. Calculate the greatest common divisor of 20 and q.
4
Let u = -5 - -9. Suppose v + 33 = u*v. Suppose 2*t + 22 = 3*t. What is the greatest common factor of v and t?
11
Let o(z) be the second derivative of 11*z**4/6 - 8*z. Let x be o(1). Calculate the greatest common factor of 2 and x.
2
Let m(p) = 2*p**2 - 8*p + 4. Let t be m(-8). What is the highest common divisor of 28 and t?
28
Let c(z) = -8*z. Let j be 18/(-8) - (-2)/8. Let m be c(j). What is the highest common factor of 8 and m?
8
Suppose -3*a - 4*v + 69 = -7*v, 0 = -3*a - 3*v + 51. Let o be ((-330)/a)/((-2)/4). Calculate the highest common divisor of 3 and o.
3
Suppose 5*v + 32 = 13*v. What is the greatest common divisor of v and 44?
4
Let s(p) = 3*p**2 + 9*p + 9. Let v(f) = 9*f**2 + 26*f + 26. Let c(l) = -17*s(l) + 6*v(l). Let j be c(-3). What is the greatest common divisor of 231 and j?
21
Suppose 0*x + 10 = 2*x. Suppose 9 = k - x*i, -k - 3*i = -4*k + 27. What is the greatest common divisor of 63 and k?
9
Let u be (-1)/3 + (-8)/(-6). Let r be -23 - (u - -1)/2. Let b be 3/((-27)/r)*3. What is the greatest common divisor of 20 and b?
4
Let q(y) = 2*y**2 - 52*y - 38. Let k be q(27). Calculate the highest common divisor of 144 and k.
16
Suppose -2*m + 5*t + 3 = 0, 41 + 16 = 5*m + 4*t. Suppose 4*y = 3 + m. Suppose -2*a = y*a - 30. What is the greatest common divisor of 54 and a?
6
Let t = -4 + 15. Suppose 3*u - 5*z + 3 - 7 = 0, -3*u + 13 = 4*z. Let j = u + t. Calculate the greatest common factor of j and 35.
7
Let w(c) = c**2 + 15*c - 9. Let r be w(-16). What is the greatest common divisor of r and 175?
7
Let w be (-198)/(-42) - 4/(-14). Suppose -w*d + 0 + 55 = -2*h, -46 = -2*d - 4*h. Calculate the highest common factor of d and 13.
13
Suppose -2*h + h + 14 = 5*u, 0 = -4*u - 2*h + 10. Suppose -1 - u = -s. What is the greatest common factor of s and 16?
4
Let m be -1 - -3 - (-5 + 7). Let x = m + 1. Calculate the greatest common divisor of x and 1.
1
Let j = 10 + -16. Let y = j - -10. What is the greatest common divisor of y and 10?
2
Suppose 8*w + 140 = 9*w. Calculate the greatest common factor of 20 and w.
20
Let r = 0 - 1. Let x(k) be the second derivative of 73*k**4/4 + k**2/2 + k. Let v be x(r). What is the highest common factor of 20 and v?
20
Suppose y + 2*i = 456, 4*i = -5*y - 0*y + 2256. Let g be y/6 - (-10)/30. Calculate the highest common factor of 15 and g.
15
Let d(b) = 2*b - 9. Let o be d(5). Let p be (o + 0)/(5/105). Calculate the highest common divisor of 3 and p.
3
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