8. Let z = o + 28. Calculate the highest common divisor of 11 and z.
1
Suppose 2*u = 269 + 123. Calculate the greatest common divisor of 21 and u.
7
Let b(r) = 14*r**2 - r + 1. Let u be b(1). Suppose 0 = -3*d - u + 50. Calculate the highest common divisor of d and 60.
12
Suppose -2*x + 6 - 10 = 0. Let i be (2/x)/(3/(-15)). Suppose r + 4*r + i*a = 30, r - 5*a + 18 = 0. Calculate the greatest common factor of 2 and r.
2
Let w = -85 + 90. Let g be 91/w + (-2)/10. Suppose -5*y + 63 = 18. Calculate the greatest common divisor of g and y.
9
Let y = -180 + 182. What is the greatest common divisor of 38 and y?
2
Let z(d) = 26 - 10 - 4*d + 4*d + d. Let y be z(11). What is the greatest common divisor of 18 and y?
9
Let i = 15 - -6. Suppose -2310 = 219*h - 229*h. Calculate the greatest common divisor of i and h.
21
Suppose 748 = -5*k - 112. Let i = -85 - k. Calculate the highest common divisor of i and 29.
29
Let s = -162 - -316. Let r be (-2)/(-4) + (-774)/(-36). What is the highest common factor of s and r?
22
Suppose p = -4*p + 405. Let j = 75 - 67. Suppose 4*d - j*d + 36 = 0. What is the highest common factor of p and d?
9
Suppose -6 = -i - 16. Let z = 32 + i. Let q = 33 - z. Calculate the greatest common factor of q and 11.
11
Suppose -4*w = z + 4, 3*z + 2*w - 7 = 21. Let v(q) = q**2 + q + 3. Let x be v(0). Suppose x*f = 175 + 5. What is the highest common factor of z and f?
12
Suppose 2*i + i - 216 = 0. Suppose -5*k + 5*r = 10, -k = -0*k + 2*r + 5. Let x = k + 11. Calculate the highest common divisor of i and x.
8
Let d be (-68 - -24)*(-2 - 0). Calculate the highest common factor of 11 and d.
11
Let l(k) = k**2 - 10*k - 84. Let v be l(17). Calculate the highest common divisor of v and 28.
7
Let f = -1549 + 1613. Let z(r) = r + 11. Let t be z(-9). What is the greatest common factor of f and t?
2
Let p = 120 + -66. Calculate the greatest common divisor of 54 and p.
54
Let w = 14 + -10. Suppose 5*k = 3*i - 1 + 20, -2*k = -3*i - w. Let t(z) = -21*z + 1. Let s be t(-1). What is the highest common divisor of i and s?
2
Suppose 4*d - 2*g = 78, 0 = 5*d + 5*g - 7*g - 96. What is the greatest common divisor of d and 117?
9
Suppose 97*y = 107*y - 550. Calculate the greatest common divisor of 11 and y.
11
Let d(v) = 33*v + 31. Let j be d(10). Let o = j - 208. Calculate the highest common divisor of 17 and o.
17
Suppose 5*l = -5*f + 560, -f - 542 = -6*f + 4*l. What is the greatest common factor of f and 495?
55
Suppose -4*b + 3*i = 44 - 155, 5*i + 25 = 0. Suppose b = -16*u + 18*u. Let l = 19 + 5. Calculate the highest common divisor of u and l.
12
Let m be (-8)/(-28) + 816/84. Calculate the highest common divisor of m and 320.
10
Suppose -2*y = -0*y - 126. Let b(r) = -r**3 - r**2 + 1. Let m be b(1). Let x be m/(20/7 - 3). What is the highest common factor of y and x?
7
Suppose 63 = -8*j + 111. Calculate the highest common divisor of 42 and j.
6
Suppose -a + 3 = -0. Suppose -a*f + 122 + 118 = 0. Let h = 29 + -13. What is the highest common factor of f and h?
16
Let l(f) = f**3 + 13*f**2 + 10*f + 9. Let d = -10 - -18. Suppose 3*n + 44 - d = 0. Let x be l(n). Calculate the greatest common divisor of x and 22.
11
Let u(l) = 2*l**2 - 7*l - 1. Suppose 3*i = 4*i - 7. Let q be u(i). Suppose -2*a = -5*a + 216. Calculate the greatest common factor of q and a.
24
Let w = -34 - -39. Suppose w*a - a - 104 = 0. Suppose -5*x + 169 = -3*c - 141, 5*x = 4*c + 305. Calculate the greatest common divisor of x and a.
13
Let h = 7172 + -5002. What is the greatest common divisor of h and 35?
35
Let k(t) = 5*t**3 - 2*t**2 + 4*t - 12. Let p be k(4). What is the highest common factor of 8 and p?
4
Suppose 26 = 4*v - 3*s, -s = -3*v + s + 19. Let z(y) = -y**2 + 12*y - 6. Let n be z(v). Let p = -23 + n. Calculate the greatest common divisor of 6 and p.
6
Suppose -24*z = 15*z - 9477. Calculate the greatest common divisor of z and 6.
3
Let n(y) = -4*y + 17. Let s be n(5). Let z(d) = -22*d - 6. Let f be z(s). Let b(p) = -p**2 - 8*p. Let c be b(-6). What is the highest common divisor of c and f?
12
Let b be ((-40)/(-16))/(-1 - 94/(-92)). Let c = b - 38. Calculate the greatest common factor of c and 11.
11
Let m = 66 - 61. Suppose 9*u = 4*u + 2*w + 194, -2*u - m*w = -95. Calculate the greatest common factor of 8 and u.
8
Suppose 0 = -2*x - q - q - 6, -4*q - 20 = 0. Let m be (-1)/x*2*-45. Let r = m + -22. What is the greatest common divisor of r and 207?
23
Let h be (2/6)/(9/81). Let r(k) = -25*k + 128. Let o be r(5). What is the highest common divisor of o and h?
3
Suppose -25*o - 11*o = -1836. What is the highest common divisor of o and 119?
17
Suppose -5*p = -2*t - 566, -8*p - t - 226 = -10*p. What is the highest common divisor of 24 and p?
6
Let y = 242 + 1694. What is the greatest common divisor of 16 and y?
16
Suppose 0*b - 3*u = -2*b + 5, -3*b + u + 25 = 0. Suppose 82 = 8*g - 158. Let c be (1 + 1)/(4/g). What is the highest common divisor of c and b?
5
Let g = 144 + -82. Suppose -4*f + 45 = -c - g, 0 = 3*f - 5*c - 59. Calculate the highest common divisor of f and 4.
4
Let z(x) = x**3 - 19*x**2 + 14. Let d be z(19). Let u = 18 - d. What is the highest common divisor of 28 and u?
4
Let u = 54 - -202. What is the highest common divisor of u and 8?
8
Let g(m) be the second derivative of 0 + 1/20*m**5 + 4*m**2 + 5*m - 1/6*m**3 - 1/12*m**4. Let j be g(0). Calculate the greatest common divisor of j and 32.
8
Suppose j + 0*j - 24 = 0. Let f(n) = 3*n**2 + 4*n + 1. Let g be f(-3). What is the greatest common divisor of g and j?
8
Let m = -69 + 113. Let h = -15 + m. Suppose 2*d - 5*s + 2*s = 46, 5*d - 129 = 4*s. Calculate the highest common divisor of d and h.
29
Let b be (-17)/17 + 3/(-2)*-2. Let s be (-48)/60*25/(-2). What is the highest common factor of b and s?
2
Suppose 0 = -68*c + 70*c - 644. What is the greatest common factor of 552 and c?
46
Let z = 499 - 171. What is the greatest common divisor of z and 16?
8
Let t(j) = j**3 + 2*j**2 - 5*j - 3. Let l(z) = -z - 12. Let g be l(-9). Let h be t(g). Let m be h/(-6) + 22/4. What is the highest common factor of 2 and m?
1
Let t(d) = -d**3 + 4*d**2 + 5*d - 8. Let g = -35 + 39. Let w be t(g). What is the highest common factor of w and 60?
12
Suppose -4*n - n = -2*h + 36, -5*n - 42 = -4*h. Let l(q) = 4*q + 30. Let x be l(n). Let o be (99/1)/((-3)/(-2)). What is the highest common factor of x and o?
6
Let z = -4266 - -4296. Let f(o) = -o + 4. Let t = -4 + -2. Let m be f(t). Calculate the greatest common factor of z and m.
10
Let n be ((-36)/(-10))/((-6)/(-20)). Let x = 5026 - 5008. Calculate the highest common divisor of x and n.
6
Suppose -93*o - 1911 = -100*o. Calculate the greatest common factor of o and 182.
91
Let m = -6 - -8. Suppose -m*z + 104 = -36. What is the greatest common factor of 28 and z?
14
Suppose 4*l = 10 + 6. Suppose -l*w = -w - 126. Suppose 0 = -t - 14 + w. What is the highest common factor of 4 and t?
4
Let i(j) = -j**3 + 2*j + 1. Let y be i(-3). Let f = 136 - 26. Suppose u - 2*r = f, 3*u + 0*r = 5*r + 330. What is the highest common divisor of u and y?
22
Let k be (-2)/(-2*(-2)/(-2)). Let j = 277 - 165. Suppose -109*s + j*s - 12 = 0. What is the highest common divisor of k and s?
1
Let k be (2 - -3)*140/(-25). Let n = -22 - k. Calculate the greatest common factor of 30 and n.
6
Let x be ((-32)/(-7))/(172/13846). What is the highest common divisor of 16 and x?
16
Suppose 2438*l + 1632 = 2440*l. What is the highest common divisor of 48 and l?
48
Let j = -593 + 632. Suppose -v - 174 = -4*v. Suppose -5*k + 0*k + 4*x = -110, v = 3*k - 4*x. What is the greatest common factor of k and j?
13
Let r = 1780 + 533. Calculate the greatest common factor of 9 and r.
9
Let s = -902 + 1469. What is the highest common divisor of s and 243?
81
Suppose -10*n = -3*n - 735. Let j be 6/n*-5 - 298/(-14). Calculate the highest common factor of j and 21.
21
Suppose r + 5*o - 27 = 0, -2*o + 49 - 19 = 2*r. Let i be ((-1376)/12)/((-4)/r). What is the greatest common divisor of i and 43?
43
Let l = -948 + 960. Let c = 146 + -104. Calculate the greatest common factor of l and c.
6
Let w(l) = 4*l**2 + 14*l + 68. Let h be w(-9). Calculate the highest common factor of 14 and h.
14
Let x(t) = t**3 - 21*t**2 - 42*t + 36. Let s be x(23). What is the highest com