 Suppose -3*x + g = 2*l + l, -l - 2*x = -58. Calculate the highest common factor of l and 8.
8
Let t be (5/4)/(9/36). Suppose -4*o - j + 14 = -1, -20 = o + t*j. Calculate the highest common factor of 10 and o.
5
Suppose -f = 3*x - 2*f - 85, -4*f = 4. What is the greatest common divisor of x and 112?
28
Let g = -63 + -46. Let q = g + 179. Suppose -2*y - 8 = -64. What is the greatest common divisor of y and q?
14
Let w be (-476)/(-12)*(-1 - (-1 + -3)). Let x = 47 - 30. Calculate the highest common divisor of x and w.
17
Let j(v) = v**3 + 4*v**2 + 4*v + 3. Let r be j(-4). Let s be (2 + 0)/(-2)*-31. Let g = r + s. What is the greatest common divisor of g and 12?
6
Let l(f) = f**2 - 1. Let v be l(3). Let u = v + -3. What is the greatest common factor of 35 and u?
5
Suppose 5*i - 3 = h + 2, -3*h = -i + 15. Suppose 5*z - 3*z - 32 = i. What is the greatest common factor of z and 112?
16
Suppose 2*c - 8 = 10. Suppose -3*n - 3*a = -21, 5*a + 42 + 4 = 4*n. What is the highest common divisor of n and c?
9
Suppose -4*t = -t - 18. Calculate the greatest common divisor of t and 24.
6
Let o be 0 + 81 + -1 + 1. Let w(y) = -5*y - 1. Let l be 6/2 - (-1 + 6). Let f be w(l). Calculate the greatest common factor of o and f.
9
Let p be 3/((-6)/(-4)) - -12. Calculate the greatest common factor of 84 and p.
14
Suppose j - 104 = 5*j. Let c be 1/(j/28 - -1). Calculate the greatest common divisor of c and 70.
14
Let i(h) = 5*h - 6. Let f be i(3). What is the greatest common factor of 3 and f?
3
Let g = -100 + 244. Let c = -80 - -96. What is the greatest common divisor of c and g?
16
Let y(c) = -c**3 + c**2 - 6*c - 7. Let p be y(-2). Calculate the greatest common divisor of p and 136.
17
Let a = -1 + 5. Suppose -9 - a = -s. Let i(w) = w**3 - 4*w**2 + 2*w + 7. Let n be i(6). What is the greatest common divisor of s and n?
13
Suppose 0*j = 5*j - u - 29, 4*u = -3*j - 1. Suppose 4*f + x = 12 + 6, j*f + 4*x - 28 = 0. Calculate the highest common divisor of 36 and f.
4
Suppose 2 = 2*o - 2. Suppose -o*w + 7*w + 5*b = 0, 3*w - 8 = b. Suppose -4 = -w*c - s + 2, 4 = -s. Calculate the highest common factor of 15 and c.
5
Suppose 0 = -5*a + 329 + 386. Calculate the greatest common factor of 13 and a.
13
Suppose 2*j + 41 = 461. Let g = 478 + -457. What is the greatest common divisor of j and g?
21
Suppose 0 = 5*x - 777 + 227. Let t(n) = 20*n**2 - n - 2. Let k be t(-1). Suppose 239 = 5*m + k. Calculate the greatest common factor of m and x.
22
Let k(j) = j**2 - 15*j - 10. Let g be k(20). What is the greatest common factor of 12 and g?
6
Let i = -18 + -27. Let y = i - -87. Calculate the greatest common divisor of 6 and y.
6
Let p(u) = -u**2 + 3*u + 6. Let m be p(5). Let b be (-536)/(-44) - m/(-22). What is the greatest common divisor of 48 and b?
12
Let l(c) = 3*c**2 + c - 2. Let k(y) = -4*y**2 - y + 1. Let h(m) = 2*k(m) + 3*l(m). Let t be h(3). Calculate the highest common factor of t and 8.
8
Let a = 9 - 14. Let g(u) = -83*u - 4. Let t be g(a). Let v be (-2)/9 + t/27. Calculate the highest common divisor of v and 10.
5
Let k(d) = 2*d**2 + 3*d - 3. Let l be k(3). What is the greatest common divisor of l and 120?
24
Suppose 2*y - 9 = 1. Suppose 3*s - 3 - 6 = 0. Suppose -r - 70 = -s*r. Calculate the greatest common factor of y and r.
5
Let t = 7 + -13. Let i be (2 + -4)*t - 2. Calculate the highest common factor of i and 90.
10
Suppose 2*i - 4*i = -6. Let j be 497/15 - 10/75. What is the greatest common divisor of i and j?
3
Let m be 40/(-16)*(-28)/5. Calculate the highest common factor of m and 112.
14
Let c = -47 + 66. Calculate the greatest common factor of c and 171.
19
Let x(k) be the second derivative of k**3/3 + 2*k**2 + k. Let t be x(3). Let r be -5*1/(t/(-308)). Calculate the greatest common factor of r and 14.
14
Suppose o + 19 - 83 = 0. Calculate the greatest common factor of 8 and o.
8
Let m(g) = g**3 - g**2. Let f(n) = 2*n**3 - n**2 + 1. Let c(k) = -f(k) + 5*m(k). Let p be c(3). Calculate the highest common factor of 4 and p.
4
Let u be 55 - (-2 + (-6)/(-1)). What is the greatest common factor of u and 34?
17
Suppose 2*p - 31 - 9 = 0. Suppose -2*k = -4*k + 4. What is the highest common factor of k and p?
2
Let d(w) = w - 1. Let b be d(-3). Let s = 12 + b. Let o = 86 - 6. Calculate the greatest common factor of o and s.
8
Suppose -d - 1 = f - 9, -5*d = -2*f - 75. Calculate the highest common divisor of 104 and d.
13
Suppose 0*m + 4*m - 20 = 0, -110 = -3*x + 5*m. Calculate the highest common factor of 360 and x.
45
Suppose k - 8*k = -238. Calculate the greatest common factor of k and 51.
17
Suppose 0 = -2*s - 3 + 1. Let z be ((-56)/20)/(s/25). Let y(i) = -i**3 + 5*i**2 - 3*i + 6. Let q be y(4). Calculate the greatest common divisor of z and q.
10
Let a(z) = 53*z**2 + 2. Let o be a(1). What is the highest common divisor of o and 11?
11
Let b(y) = y**2 - y. Let r be b(4). Suppose 1 = 2*z - 15. Suppose 0*l + z = 3*v - 2*l, 2*v - 4*l + 8 = 0. Calculate the highest common divisor of v and r.
6
Let l = -5 - -7. Let r = l - 0. Suppose -33 = -r*g - w, -w = -g - 6*w + 3. Calculate the greatest common factor of 144 and g.
18
Let w(d) = d**3 - d**2 + d + 18. Let c be w(0). Suppose -h = h - c. What is the highest common divisor of 81 and h?
9
Suppose -18 = w - 4*w. Suppose 7*u - 15 = w*u. Suppose 229 = 3*j + 4*i, -2*i - 94 + 471 = 5*j. Calculate the greatest common factor of j and u.
15
Let c = 22 + -15. Suppose -3*g + 2*g = 4*n - 26, 0 = -2*g - 2*n + 22. Suppose c*y = g*y + 231. Calculate the greatest common divisor of y and 21.
21
Suppose 4*x + 3 = x. Let h be x/(-2*(-1)/(-32)). Calculate the greatest common factor of 4 and h.
4
Suppose v = 4*z + 22, 6*v - 2*z - 38 = v. Suppose v*p = 10*p - 3540. Let i be (-4)/(-18) - p/(-27). What is the highest common factor of i and 11?
11
Let c(x) = -x**2 - 14*x - 28. Let h be c(-8). What is the greatest common divisor of h and 20?
20
Suppose -4 = 4*r, -3*r = -0*a - a + 17. What is the greatest common factor of 140 and a?
14
Let i = -36 + 49. What is the greatest common divisor of i and 13?
13
Let h be (-2)/(-6) - (-1)/(-3). Let d = 5 - h. What is the greatest common divisor of 2 and d?
1
Let g = 0 + 0. Let m be g + ((-2)/(-1) - -7). Let p = -92 - -101. What is the greatest common factor of p and m?
9
Let l = -6 + 3. Let w = -1 - l. Calculate the highest common factor of 2 and w.
2
Suppose -3*j - 3*d = -0*j - 114, -4*d = -2*j + 46. What is the greatest common factor of j and 44?
11
Let w(i) = 2*i**2 - 10*i - 36. Let s be w(-4). Calculate the greatest common divisor of s and 9.
9
Suppose -3*g = 5*n - 152, 4*g + 68 = -n + 4*n. Let d = -3 - -45. What is the greatest common factor of d and n?
14
Suppose 18 = -2*s + 108. Let f(a) = a**3 + 5*a**2 + 5. Let t be f(-5). Calculate the highest common divisor of t and s.
5
Let t be (-224)/(-10) + (-22)/55. What is the highest common factor of 154 and t?
22
Suppose -123 + 339 = 6*m. What is the greatest common divisor of 12 and m?
12
Let h be 0 - (0 + 2) - -11. What is the greatest common divisor of 24 and h?
3
Let o be ((-6)/(-7))/((-12)/(-56)). Let v(i) = i**3 - 2*i**2 + 5*i - 2. Let u be v(o). Calculate the greatest common factor of 10 and u.
10
Suppose 3 = g - 2. Suppose g*q = 3*v - 1, q + v = 4 - 1. Let r be ((-10)/4)/(3/(-6)). What is the greatest common factor of r and q?
1
Let j(l) = l**3 - 18*l**2 + 16*l + 29. Let g be j(17). What is the greatest common factor of g and 12?
12
Let i(g) = g**2 + 5*g + 6. Let p be i(-4). Suppose -3*r - 10 = 26. Let n be 18/(-12)*80/r. What is the highest common factor of p and n?
2
Let h = 71 - 68. Calculate the highest common factor of h and 33.
3
Suppose -7*x + 495 = -4*x. Calculate the greatest common divisor of x and 66.
33
Let j(d) = -d**3 + 12*d**2 - 9*d - 11. Let u be j(11). Suppose 0 = 4*q - u - 73. What is the highest common divisor of q and 7?
7
Suppose 0 = 5*s + 2*h + 3*h - 45, -1 = h. Let u = 4 - 1. Suppose -u*g = -13 - 17. Calculate the highest common divisor of g and s.
10
Let f = 1 + 1. Let p = 16 + f. Calculate the highest common factor of p and 2.
2
Suppose -5*f + 60 = g + 9, -42 = -g - 2*f. Suppose 3*s = 3*o - g, -4*s - 3 = 5. What is the greatest common divisor of o and 90?
10
Suppose 9*r - 10*r + 9 = 0. Calculate the highest common factor of 6 and 