4. Calculate the highest common factor of 27 and b.
9
Let u = 12 + 6. Calculate the highest common divisor of 6 and u.
6
Let c = -10 - -15. Let y = c + -2. Calculate the greatest common divisor of 15 and y.
3
Let l be 500/18 - 4/(-18). Let m be (2 - -3)*l/(-5). Let q = m - -40. What is the greatest common divisor of 108 and q?
12
Suppose -f - 22 = -3*f. Let n = 1 - -1. Let d be (-42 - 2)*n/(-1). What is the greatest common factor of f and d?
11
Suppose -4*b + 4*l + 332 = 0, -4*b = -2*b - 3*l - 168. Let f = 0 - -11. Suppose 10*y - f*y = -9. What is the greatest common divisor of b and y?
9
Let a(f) = 12*f - 24. Let r be a(13). Calculate the greatest common divisor of r and 12.
12
Let h be 18/8*(-160)/(-60). What is the greatest common divisor of 186 and h?
6
Let x(f) = f**3 - f**2 - 1. Let q be x(2). Suppose m = q*m - 34. Calculate the highest common divisor of 51 and m.
17
Let o be 0 + 2 + 5 - 2. What is the greatest common factor of o and 10?
5
Let j be (-2)/(-3*4/66). Suppose 4 = b, -k + b - j = -4*b. Calculate the highest common factor of 63 and k.
9
Let h(t) = -t**3 + 7*t**2 - 6*t - 5. Let x be h(5). Let y = -9 + x. Let k be (5/(-2))/((-4)/48). Calculate the greatest common divisor of y and k.
6
Let d be (3/(-2))/(51/(-170)). Suppose -7*v = -4*v + 3*u - 303, d*v - 501 = -u. Calculate the highest common divisor of 25 and v.
25
Let m be (4/(-4))/(2/(-4)). Let o be (-22 - m)*4/(-6). Calculate the highest common factor of 40 and o.
8
Let i = 57 + -15. Suppose 0 = -4*j - 4*w + 24, -8 = -w - w. Let u be -1 + j + 2*10. Calculate the highest common divisor of u and i.
21
Suppose 5*l + i - 31 = -5, -3*l - 4*i + 2 = 0. Calculate the highest common factor of 30 and l.
6
Suppose -4*m = 4*z - 280, 3*z + m - 192 = 4*m. Let c(b) = -3*b - 7. Let q be c(6). Let j = z + q. What is the greatest common divisor of 14 and j?
14
Let x(l) = -12*l + 6. Let i be x(-7). Let c = 56 + -11. Let k = i - c. Calculate the highest common divisor of k and 9.
9
Let p(n) = n**3 + 5*n**2 + 3*n. Suppose 0 = -4*x - x + 3*a + 2, -10 = x + 2*a. Let d be p(x). What is the highest common divisor of d and 15?
3
Suppose -3*c = -2*j + 35, 3*c - 41 = -4*j + 2. Suppose 2*v + 1 = -j. Let n = 1 - v. What is the highest common factor of n and 40?
8
Let v be 2 + 9/(-3) + -4 + 15. Calculate the greatest common divisor of v and 5.
5
Let y be (-1014)/(-24) + 1/(-4). Suppose -3*w - 2*k + 28 = 0, 5*w = -5*k + 8 + y. Calculate the highest common divisor of 12 and w.
4
Suppose 0 = 4*a - 26 - 6. Suppose 4*l - 280 = -4*b, 3*b - a*b + 155 = 2*l. Suppose -5*w = -0*w - l. What is the greatest common factor of w and 13?
13
Let t(z) = -z + 1. Let x be t(-2). Let v be (x*-1)/(9/(-12)). Let l(k) = k**2 - 4*k + 6. Let h be l(v). What is the highest common divisor of h and 12?
6
Let a(u) = -2*u**3 - u**2 - u + 4. Let y be a(-3). Let h = -1 - -1. Suppose q - 10 - 3 = h. What is the greatest common divisor of q and y?
13
Let v(m) = m - 5. Let p be v(6). Suppose h + p = -2*f + 24, 4*h - 42 = -3*f. What is the highest common divisor of 20 and f?
10
Suppose -2*v = -6 - 14. What is the greatest common divisor of 60 and v?
10
Let v(c) = 13*c - 8. Let m be v(6). Let d = 157 - -18. Calculate the highest common divisor of m and d.
35
Let c = -4 + 4. Suppose 2*k - 7 - 1 = c. Let p be k/(1/(-3)*-1). Calculate the highest common factor of p and 96.
12
Let r = 2 - 0. Let h be (3 + -5)/(r/(-55)). What is the highest common factor of 22 and h?
11
Suppose 3*g - 40 - 26 = 0. What is the greatest common factor of g and 154?
22
Suppose 4*c = -4*y + 6*y, -1 = 5*c - 3*y. What is the greatest common factor of 11 and c?
1
Suppose 14 = i - 4*n, -4*n = -2*i + 14 + 10. Let u(h) = h**2 + 4*h + 5. Let o be u(-5). Let p be (-1)/2*-22*o. What is the highest common divisor of p and i?
10
Let u(b) = 2*b**3 - 2*b**2 - 7*b + 3. Let p be u(5). Let k = 12 - 9. Suppose y - p = -k*y. What is the greatest common divisor of y and 14?
14
Let o = 183 - 123. Suppose o = 5*x - 2*x. Let n = 187 - 127. Calculate the highest common factor of x and n.
20
Let g(y) = y**2 + 7*y + 7. Let x be g(-6). Let b(z) = z**2 + 2*z - 2. Let j be b(-3). Let s be 45 + x + (-2)/j. Calculate the highest common factor of 22 and s.
22
Suppose -4*y - 65 = y. Let g = 32 + y. Calculate the highest common divisor of g and 57.
19
Suppose 2*w - 31 = -11. Calculate the greatest common factor of 20 and w.
10
Suppose 3*t - 5 = 2*t. What is the greatest common factor of t and 5?
5
Let v(g) = g**3 + 6*g**2 + g. Let a be v(-5). Let t be (-6)/(-3) + 27 + 1. Calculate the highest common divisor of a and t.
10
Suppose 11 = m - 14. Let y be (-10)/m - (-17)/5. Let l be 2/((-6)/(-99)*y). What is the highest common divisor of l and 77?
11
Let p(z) = 2*z**2 - 3*z + 6. Let o be p(-6). Let a(j) = 2*j**3 - 2*j**2 + 3*j - 2. Let r be a(2). What is the greatest common factor of o and r?
12
Suppose 5*r = -4*g + 43, 4*g - 5*r = -28 + 81. Suppose 2*q - g = 4. Let z be q/3*60/8. What is the highest common factor of z and 8?
4
Let o be (2 - 22/4)*-2. Let b(g) = 6*g**2 - 2*g + 6*g**2 + 6*g**2 + 0 + 1. Let n be b(-2). What is the highest common factor of n and o?
7
Let o(u) = 16*u**2 - 1. Let g be o(-1). Suppose -c + 6 = -g. Suppose 0*r = -3*r + 3*i + 27, -3*r + 19 = i. Calculate the highest common divisor of c and r.
7
Suppose 9*n - 10*n + 15 = 0. Calculate the highest common factor of 75 and n.
15
Suppose 128 = 5*d - z, 2*z = 5*d - 0*d - 126. What is the greatest common divisor of d and 13?
13
Let r = 3 - 3. Suppose r = 3*c - c - 50. Calculate the highest common divisor of c and 10.
5
Suppose -4*x + 23 = -37. Let c be (-2)/4*-15*22. What is the greatest common factor of c and x?
15
Let q(f) = 6*f**2 + 2*f - 6. Let d be q(-3). Calculate the greatest common divisor of d and 21.
21
Let c(k) = k**2 + 5*k + 6. Let m be c(-5). Suppose -3*b + m = 0, -5*b = 3*f - b - 56. What is the highest common divisor of f and 4?
4
Let t = -72 - -98. What is the highest common divisor of t and 78?
26
Let v(h) = h**2 - 4*h + 2. Let i be v(7). Suppose 3*u + m + 2 = -67, 0 = -u + 3*m - i. Let l = 79 + u. Calculate the highest common factor of l and 8.
8
Let l(c) = -c**3 + c**2 - 3*c + 2. Let a be l(0). Calculate the highest common factor of a and 11.
1
Suppose 45 = 3*y + 2*y. Let o(g) = -g - 1. Let h be o(-3). Suppose -3*s - 2*f + 59 = -f, 3*s = h*f + 44. What is the highest common divisor of y and s?
9
Let w = -115 - -138. Calculate the greatest common factor of 23 and w.
23
Let k be (21/(-9))/((-1)/6). Let f(n) be the first derivative of n**3/3 + n + 1. Let r be f(1). What is the highest common divisor of k and r?
2
Suppose -63 = q + 2*q. Let c = q - -38. What is the highest common divisor of c and 153?
17
Let b be (-2172)/(-30) - ((-8)/(-5))/4. Suppose -f = 4*f - 120. What is the highest common factor of b and f?
24
Let f = 9 - 16. Let c = f - -11. Calculate the highest common divisor of c and 40.
4
Suppose -171 = -2*p + 69. Calculate the greatest common factor of p and 48.
24
Let w = -2 + 1. Let f be (57 - 2) + (-1)/w. What is the greatest common factor of 7 and f?
7
Let o(n) be the first derivative of -n**4/4 - n**3 + n**2 + 6*n - 1. Let c be o(-4). Calculate the highest common divisor of 70 and c.
14
Let g be ((-18)/21)/((-1)/7). Suppose v + 3 = -2*x, 0 = -2*x + 3*v - 32 + 9. Let o = x + g. Calculate the greatest common divisor of o and 6.
2
Suppose y - 2*y + 4*p - 12 = 0, 0 = 4*y - 4*p + 36. Let q(l) = l**2 + 6*l - 12. Let d be q(y). What is the highest common factor of 12 and d?
4
Let u = -15 + 21. Suppose i = -2*i + u. What is the highest common divisor of 22 and i?
2
Let j = 5 + 0. Suppose j*w + 130 = 2*v, v = -4*v + 5*w + 325. What is the greatest common factor of 26 and v?
13
Let c(o) = 4*o - 10. Let h be c(3). Calculate the greatest common factor of 6 and h.
2
Let v be 290/14 - 2/(-7). What is the highest common divisor of v and 7?
7
Suppose 5*f - 4*f - 2 = 0. Suppose -70 = f*k - 24. Let i = -5 - k. What is the highest common factor of 162 and i?
18
Suppose o - 67 - 38 = 0. Suppose 2*q = 3*l + o, -2*q - q + l = -147. Calculate the greatest common factor of 6 and q.
6
Suppose 0 = 2*o - 2*y - 153 + 35, 0 = -4*o - 3*y + 222. What is the greatest common divisor of 19 and o?
19
Suppose -t = -3*t + 24. What is the hig