6
Suppose 114 = 5*m - 46. Calculate the highest common divisor of 160 and m.
32
Let r = -11 - -23. Let i = 295 + -211. Calculate the greatest common divisor of r and i.
12
Suppose 4*t + 101 = 5*q - 124, 4*q - 180 = 3*t. Suppose 0 = -5*o - 3*l + 67, 3*l + q = 3*o + 6*l. Calculate the greatest common factor of 121 and o.
11
Let r(f) = f - 1. Let c be r(11). What is the highest common factor of 110 and c?
10
Let a be (21/28)/(1/8). Suppose 0 = -a*h + 45 - 3. Let m be 2*(-2)/(-4) - -48. Calculate the greatest common factor of h and m.
7
Let h(x) = -2*x - 12. Let u be h(-9). Suppose -3*r - 11 - 79 = 0. Let w be (r/(-4))/((-2)/(-4)). What is the highest common divisor of w and u?
3
Let h be 4*((-18)/8)/(-3). Suppose -3*l + h = -3. Suppose -3*w = -5*g + g + 19, -3 = -g - w. Calculate the greatest common factor of l and g.
2
Let d = -67 + 76. Calculate the greatest common divisor of d and 3.
3
Let v = 0 - 0. Suppose n = -n - f + 5, 4*f - 20 = 2*n. Suppose v = -n*m + m - 16. Calculate the highest common divisor of m and 48.
16
Suppose 3*b - 5*o = 275, -o - 23 - 66 = -b. What is the greatest common divisor of 5 and b?
5
Let a be 8/6 + 7/(-21). Suppose -3*b = -a - 80. What is the greatest common factor of 3 and b?
3
Suppose -3*r + 18 + 138 = 0. Suppose -k = k - r. What is the greatest common factor of 13 and k?
13
Let g be -1 + (0 - -5 - -2). Suppose -4*h + g = 2. Let u(l) = 13*l + 1. Let v be u(h). Calculate the greatest common factor of v and 14.
14
Let v = 240 - 112. Let u be (-4)/18 - 42/54. Let j be (-17)/u - (2 + -1). Calculate the greatest common divisor of j and v.
16
Let h = 155 - 139. Calculate the highest common factor of 1 and h.
1
Suppose 24 = 2*p + p. Let m = -4 + p. Suppose m*l = -16 + 112. What is the highest common factor of 16 and l?
8
Suppose -477 = -6*y + 183. What is the greatest common divisor of y and 11?
11
Let k be (2 - -9 - 0)*1. Let j = -150 + 249. Calculate the greatest common divisor of k and j.
11
Let t(w) = -3*w**3 - 4*w**2 - w + 1. Let c be t(-3). Let g(i) = -i**3 - 5*i**2 + 7. Let j be g(-5). Calculate the highest common divisor of j and c.
7
Suppose 2*z - 104 = -0*r - 4*r, -42 = -2*r + 4*z. Calculate the highest common divisor of r and 100.
25
Let m be (-1)/4 + (-145)/(-4). Calculate the highest common divisor of 4 and m.
4
Suppose 4*i - 2*i - 17 = -b, -5*i + 56 = -2*b. What is the greatest common divisor of i and 40?
10
Let q be (-2)/(-4) + (-34)/(-4). Let w(o) = 8*o + 8. Let i be w(8). What is the highest common factor of q and i?
9
Let j(x) = -x**2 + 8*x + 4. Suppose 0 = 3*g - 21. Let k be j(g). Calculate the greatest common divisor of k and 11.
11
Suppose 0 = -2*o + 5*l, 0*o - 4*l + 33 = 5*o. Calculate the highest common factor of 1 and o.
1
Let s(t) = -t**2 - 12*t - 13. Let g be s(-9). Let d = g - 9. Suppose -o + 30 = -0*o. What is the greatest common factor of o and d?
5
Let w = -62 + 67. Suppose 18 = 2*a - 4*v, -2*a + 0*v - 4*v + 2 = 0. Calculate the greatest common factor of a and w.
5
Let y(j) = -j**2 + 9*j + 1. Let z be y(7). Calculate the greatest common factor of 75 and z.
15
Let w(s) = -s**3 + 6*s**2 - 5*s + 10. Let v be w(5). Calculate the highest common divisor of v and 5.
5
Let q(f) = -16*f**3 - f**2 + 1. Let t be q(-1). Suppose -t = -2*o - 2*m + 56, 51 = 2*o - 5*m. What is the highest common factor of o and 11?
11
Let s = 89 + -21. Let v(t) = 4*t**2 - 7*t + 15. Let d be v(2). What is the greatest common factor of s and d?
17
Let j = -31 + 55. Calculate the greatest common factor of j and 3.
3
Suppose -2*s = 3*s - 3*z - 42, -3*s + 5*z + 38 = 0. Let c(v) = 3*v**2 - 2*v - 6. Let k be c(s). Calculate the greatest common factor of k and 10.
10
Suppose 0 = -k - 3*x + 5, -k - 4*x + 10 = k. What is the greatest common divisor of k and 15?
5
Let y(v) = 3*v + 10. Let i be y(3). Calculate the greatest common divisor of i and 57.
19
Suppose 4*r + 3*w - 5 = -2*w, -4*r = 4*w - 8. What is the highest common factor of 10 and r?
5
Suppose 326 = 3*x + 35. Suppose g - 2*l = -7 + 58, -l = 2*g - x. Calculate the highest common factor of g and 7.
7
Let s(w) = -w**2 - 4*w + 2. Let m be s(-4). Suppose 2*p + 8 = -m*p. Let y be p/(-4)*-2 + 4. What is the greatest common divisor of 21 and y?
3
Let x(q) = 2*q**2 + q - 3. Suppose -2*p = -p - 2, -5*p = 2*h - 4. Let i be x(h). Let u = 28 - 16. Calculate the greatest common factor of u and i.
12
Suppose -2*z + 7 = -33. Suppose h - 2*q + 0 + z = 0, 2*h + q + 25 = 0. Let d be h*(2 + -3) + -2. Calculate the greatest common divisor of 48 and d.
12
Let b(w) = 16*w + 1. Let v be b(-1). Let r = -7 - v. Let g = -2 - -3. What is the highest common factor of r and g?
1
Let b = 5 - 5. Suppose 0 = j - 4*j - 3*s + 48, -5*s + 15 = b. Calculate the greatest common divisor of j and 52.
13
Suppose 0 = 301*h - 304*h + 54. What is the greatest common divisor of 135 and h?
9
Let i = 16 - -2. Calculate the highest common divisor of 27 and i.
9
Let p = -21 - -23. Suppose -2*a + 0*a = -p*d + 6, a + 5*d = 27. Calculate the highest common factor of 5 and a.
1
Suppose -2*u + u + 1 = 0. Suppose -r + 7 = u. Calculate the greatest common divisor of r and 4.
2
Let t = -12 - -18. Calculate the highest common factor of 30 and t.
6
Suppose -2*v + 2*q = 0, 0 = -3*v - v + 2*q. Suppose f - 4 = v, 5*f + 0*f - 95 = -5*s. What is the highest common divisor of 135 and s?
15
Let q be 1/((-6)/4)*-18. Let d be (-2 - 3)*q/(-10). Let s = 26 - 25. Calculate the greatest common factor of d and s.
1
Let t = 22 - 10. Calculate the greatest common factor of 36 and t.
12
Let y be 33/7 - 8/(-28). Suppose -y*t = -303 - 172. Calculate the greatest common factor of t and 19.
19
Let w be (-8)/36 - 87/(-27). What is the greatest common divisor of 2 and w?
1
Suppose 0 = 5*t - 4*b + 3*b - 323, -5*t + 321 = -2*b. Suppose -52 = 2*i - 6*i - 4*g, 4*g = 0. Calculate the greatest common divisor of i and t.
13
Let k be 13/2*48/24. What is the highest common divisor of k and 91?
13
Suppose 10*h = 10 + 10. Calculate the highest common factor of 2 and h.
2
Let z(y) = -2*y - 7. Suppose 6 = -5*l - 24. Let r be z(l). What is the greatest common divisor of 55 and r?
5
Let m(z) be the first derivative of 2 - 5/2*z**2 + 1/3*z**3 + 5*z. Let f be m(5). Calculate the highest common factor of 10 and f.
5
Let i(l) be the first derivative of -l - 1/4*l**4 - 3/2*l**2 + 3*l**3 + 2. Let r be i(5). What is the highest common divisor of 12 and r?
12
Let t be (104/(-10))/(1 + (-90)/75). Suppose 400 = 3*s - 2*v, -4*v - 134 - 406 = -4*s. What is the greatest common divisor of t and s?
26
Suppose 0*r = 6*r - 108. Suppose 0 = 2*d - 4*d + 2*q + 22, 0 = 5*d + 3*q - 39. Calculate the greatest common factor of d and r.
9
Suppose -5*q - 9 = -4. Let b be (3 - (-80)/q)/(-1). Calculate the greatest common divisor of b and 7.
7
Suppose -5*d - 2*k + 9 = 0, 0 = 2*d - 0*k + k - 3. Suppose 2*q = -4*t - 0*t + 6, 12 = 4*q - 3*t. Calculate the highest common divisor of q and d.
3
Let q(s) = 17*s**2 - 5*s - 5. Let m be q(-4). What is the greatest common factor of m and 41?
41
Let n(g) = 4*g - 5. Let p be n(4). Let h = 328 + -306. Calculate the greatest common factor of h and p.
11
Suppose -167 = -m + 4*j, 5*m - 474 = -j + 298. What is the greatest common divisor of m and 62?
31
Let i = -71 + 91. Calculate the highest common factor of i and 4.
4
Let t(d) = 2*d**2 + 8*d + 6. Let g be t(-5). Suppose -2*b = -0*b - g. Suppose 3*s - r - 216 = r, 0 = 5*r. What is the greatest common factor of s and b?
8
Let w be 1/2 - (-724)/8. Let d(g) = -13*g**3 - g - 1. Let h be d(-1). What is the greatest common factor of h and w?
13
Suppose -17*k = -7*k - 420. Suppose 0 = -2*a - s + 56, 17 = a + s - 11. Calculate the greatest common divisor of a and k.
14
Suppose -30 = m - 3*m. Suppose u - 3*u = 0. Suppose u = -3*j + 5*j - 10. Calculate the greatest common factor of m and j.
5
Let z be (-25 + (0 - 3))*-5. Let r be -5*((-24)/5 - -2). Calculate the highest common factor of r and z.
14
Suppose -5*k = -33 - 107. What is the greatest common divisor of k and 14?
14
Let p be -17 - 2/(1 + -2). Let m be (-85)/p + (-2)/(-6). Suppose 5*v - 3 = 3*j, v + 6*j - 2*j = 19. Calculate the highest common divisor of m and v.
3
Let m be (1 - (0 - -1)) + 36. Let d be 2/((-1)/(-6)*4). Suppose 49 - 13 = d*p. Calculate the greate