4). Suppose 5*l = 5, -6*o + o + l = -569. Suppose o + 54 = 7*c. What is the greatest common divisor of q and c?
12
Let t(o) = -o**3 - 2*o**2 + 3*o + 4. Let k be t(-3). Suppose k*q - 7*q + 264 = 0. What is the highest common factor of q and 8?
8
Suppose -4*q + s - 1725 = -8*q, -3*s = 2*q - 855. What is the highest common factor of 27 and q?
27
Let f = 267 + -221. Calculate the highest common factor of f and 391.
23
Let y(d) = 11*d**2 + 107*d + 3. Let s be y(-10). Let q = 16 - -50. Calculate the greatest common divisor of q and s.
33
Suppose -4*h = -h - 3. Let x = h - -20. Let r(o) = 89*o**2 - 338*o - 9. Let l be r(4). What is the highest common factor of l and x?
21
Suppose -5*b + 33 = -5*j + 228, 0 = 5*b + 25. Let h = j + -32. What is the greatest common factor of h and 18?
2
Let v be 356/20 - 5/(-25). Let r be -3 - 4/((-4)/11). Let s(n) = n - 6. Let h be s(r). Calculate the greatest common factor of v and h.
2
Suppose -2*g + 270 = 16*g. Suppose -3*n - 2*a + g = 0, -18 = -8*n + 5*n - 3*a. Suppose 0*z - 165 = -5*z. Calculate the greatest common divisor of z and n.
3
Suppose -1 = r, -r = -5*y + 61 + 660. What is the greatest common divisor of 64 and y?
16
Let c(h) = -h**3 + 25*h**2 - 18*h - 45. Let r be c(24). What is the highest common factor of 18 and r?
9
Let f be (-5)/((-3)/6*1). Let k(b) = b**3 + 8*b**2 - 3*b - 4. Let z be k(-9). Let a = 32 - z. Calculate the greatest common factor of f and a.
10
Let u(y) = 6*y - 8. Let t be u(2). Suppose -t*z - 3*h + 326 = 0, -2*z + h = 3*z - 398. What is the highest common factor of 32 and z?
16
Let b(s) = -s**2 + 12*s - 4. Let h be b(6). Suppose -v + 24 = 4*n, 4*n - 15 = 2*v - 3. What is the highest common divisor of v and h?
4
Let p = -61 - -65. Suppose 5*t - 5*i = t + 200, -168 = -p*t - 3*i. What is the greatest common divisor of t and 15?
15
Suppose 3 = -3*n - d + 6, 2*n - 13 = 3*d. Suppose 5*o - 505 = -n*t, 2*t = -3*t - 2*o + 1210. What is the highest common divisor of 30 and t?
30
Let w(o) = 387*o - 17. Let g be w(1). Let m = 10 + -6. Suppose -m*h + 6*h = g. Calculate the greatest common divisor of 37 and h.
37
Let n = 107 + -35. Let f(r) = -2*r**3 - r**2 - r + 4. Let a be f(0). Suppose a*k = 41 - 5. Calculate the highest common factor of k and n.
9
Let b be ((-14)/21)/1*(-47 - 4). Let v = 33 + 18. Calculate the highest common divisor of b and v.
17
Let t = 289 - 205. Let f be 0 + (-5 - -7)/((-2)/(-12)). Calculate the greatest common factor of f and t.
12
Let j = 4 + 15. Suppose -553*g + 552*g - 5*y + 4 = 0, -g = -2*y - 25. What is the greatest common divisor of g and j?
19
Let t = 26 + -22. Suppose 2*q + t*h - 28 = 0, -3*q + 68 = 2*h + 26. Calculate the highest common divisor of q and 112.
14
Let t = -1466 - -1620. What is the highest common divisor of 98 and t?
14
Suppose -221 = -15*t + 349. Suppose -x = -0 - 3. Suppose 0 = -2*z + 3*v + 26, -4*z = -v + x*v - 84. What is the highest common divisor of t and z?
19
Suppose 24*u - 660 = 21*u. Suppose -17*h + u = -15*h. What is the greatest common divisor of 10 and h?
10
Suppose -4*u + 3*y + 588 = 0, 0 = 2*u - u - y - 146. Suppose -5*n + 166 = -4*h, 0 = -2*n + 4*h + h + 80. What is the greatest common divisor of n and u?
30
Let t be 60/2 - (1 + -12 - -7). Let s = 65 + -31. Calculate the highest common factor of s and t.
34
Suppose 0*v + 4*v = 24. Let q be (27/(-18))/(v/(-16)). Let i be 0 - (-354)/8 - 8/32. Calculate the greatest common divisor of q and i.
4
Suppose 5*f = -2*t + 311, -6*f = -4*f - 6. What is the highest common divisor of 222 and t?
74
Let c = -14 + 18. Let l(i) = -2*i - 3. Let s be l(c). Let p = -9 - s. Calculate the highest common divisor of 10 and p.
2
Suppose 486 = 2*s - 130. Let z be 2043/72 + 42/(-112). What is the highest common divisor of s and z?
28
Let g(u) = -5 + 6 - 2 + 2. Let v(k) = 2*k**2 - 2*k + 7. Let c(h) = -6*g(h) + v(h). Let z be c(3). What is the greatest common factor of z and 13?
13
Suppose -224*y = -226*y + 4. Suppose -y*d = -3*a + 2*d + 164, 3*d = -a + 59. What is the greatest common divisor of a and 70?
14
Suppose 5*c - 4*v = -9*v + 40, 4*v = -5*c + 39. What is the highest common factor of 119 and c?
7
Suppose p = -6*p + 420. What is the greatest common factor of p and 108?
12
Let v(l) be the first derivative of -l**4/4 - 2*l**3 - 4*l**2 - 16. Let c be v(-5). Calculate the greatest common divisor of 9 and c.
3
Suppose -4*p - 4 = 0, -5*p = -3*d + d + 77. Let i be 2/(-7) - 130/(-14). Calculate the greatest common factor of d and i.
9
Let t = 32 + -20. Calculate the highest common divisor of t and 174.
6
Let m(v) = v**3 + 7*v**2 - 2*v - 24. Let p be m(-6). Suppose -4 = k + 4*z, -5*z - 68 - 21 = -4*k. What is the highest common divisor of k and p?
8
Let g(q) = 6*q - 4. Let x be g(1). Suppose 36 = 3*l + x*h, 0*h + 15 = -5*h. Calculate the greatest common divisor of l and 2.
2
Suppose -2*z + 9 = 3*l, -2*z - 6 = 5*l - 7*l. Suppose -66 + 176 = -5*x - u, -3*u - 22 = x. Let b = x - -37. Calculate the highest common divisor of b and l.
3
Let l = 28 - 10. Let u be 6/l*(-2 - -8). Suppose -u*x - 12 = -72. What is the highest common factor of x and 30?
30
Let j be (-8)/16 - 19*3/(-6). Suppose 0 = -8*a + j + 111. Calculate the greatest common divisor of a and 15.
15
Let u = -1407 + 1536. What is the greatest common divisor of 43 and u?
43
Let a = 23 - 18. Let f = a + 22. Calculate the greatest common divisor of f and 108.
27
Suppose 7*k - 50 = -3*k. Calculate the greatest common divisor of k and 5.
5
Let w be ((-10)/(-8))/((-1)/(-4)). Let p = -12 + 12. Suppose -3*v + p*v - 2*r + 103 = 0, -5*v = -5*r - 180. What is the highest common divisor of v and w?
5
Suppose 53*b - 4320 = 48*b. Calculate the highest common divisor of 27 and b.
27
Suppose -15 = -9*c + 93. Suppose -4*z = 3*y - 52, y - 2*z = -2*y + 28. Calculate the highest common factor of y and c.
12
Suppose 0 = 16*j - 7*j - 54. Calculate the greatest common divisor of j and 24.
6
Let j = -96 + 166. Calculate the highest common divisor of j and 21.
7
Let i(m) = 3*m**2 + 4*m - 4. Let r be i(3). Suppose -4*o - o + r = 0. Let g = o - -4. Calculate the greatest common divisor of 121 and g.
11
Let g(z) = z**3 + 12*z**2 + 3*z - 1. Let v be g(-6). Suppose -v = -11*l - 21. Calculate the greatest common divisor of l and 2.
2
Let k = -608 - -673. Calculate the greatest common divisor of 65 and k.
65
Let b be (7 - 873/(-30)) + 2/(-20). Calculate the greatest common divisor of b and 234.
18
Let d(g) = 25*g**2 + 26*g - 48. Let s be d(2). What is the highest common factor of 13 and s?
13
Let f be (4/(-6))/(4/6). Let g = f - -4. Suppose g*j = -16 + 73. Calculate the greatest common divisor of 76 and j.
19
Let m be 5 + -3 + 1 - 28. Let j = 28 + m. Calculate the greatest common factor of 9 and j.
3
Suppose 0 = 97*t - 110*t + 3328. Calculate the highest common divisor of t and 16.
16
Let w(z) = 2*z**2 - 13*z - 5. Let b be w(7). Suppose j - 5*m = 4*j - 46, 0 = 5*j - 5*m - 130. Calculate the greatest common factor of b and j.
2
Suppose -5 = -m + 4*q, -3*m = m + 2*q - 92. What is the highest common factor of m and 91?
7
Suppose -5*d + 29 + 51 = 0. Suppose 0 = -5*t + t - d. Let i be 5 - t/((-12)/(-9)). Calculate the highest common factor of i and 1.
1
Let k be 27/9*(0 - -1). Suppose j + k*q - 32 = 0, 5*j - 53 = 3*q + 179. Calculate the highest common factor of 132 and j.
44
Let s be (-2)/11 - 536/(-44). Suppose 2 = 2*z + s. Let x be (-2 + 12)/(z/(-90)). What is the highest common factor of x and 20?
20
Let w be 1/1*(-10578)/(-123). What is the greatest common divisor of 2150 and w?
86
Suppose 5*b + 29 = 3*m, 3*m - 7*m + 3*b + 24 = 0. Suppose 4*q = -m*v + 50, -v + 58 = 3*v + q. Calculate the highest common factor of 35 and v.
7
Let s(m) = 7*m**2 + 2. Let y be s(2). Let k be ((-360)/(-150))/((-2)/(-175)). Calculate the highest common divisor of k and y.
30
Let r(m) = -16*m**3 - 3*m**2 - 2*m - 4. Let g be r(-4). Let c be g/50 + (-4)/(-10). What is the greatest common divisor of 4 and c?
4
Suppose 5*m - 21 = 2*m. Suppose v + 42 = m*v. Let g be (-4)/18 + 443/9. Calculate the highest common divisor of g and v.
7
Suppose 3*d + m + 35 = 5*d, -5*d + 80 = -m. Let f be (380/d)/2 + 4/(-6). Calculate the highest common factor of f and 16.
4
Suppose 4 + 1 = -5*j, -4*j = 3*r - 47. Let w(f) = -f**2 + 13*f - 1