 1. Let k be z(1). Let m = k + 25. What is the greatest common factor of m and 5?
5
Suppose -4*z = 2*a - 48, -7*z - 5*a + 54 = -3*z. Let s = 227 + -128. What is the highest common factor of z and s?
11
Let g(b) = b + 11. Let w be g(0). Let o = 21 - w. What is the highest common factor of o and 20?
10
Let k(f) = 82*f**2 - 3*f - 2. Let b be k(2). What is the highest common factor of b and 128?
64
Let a be (1080/(-84))/((-3)/14). Calculate the greatest common divisor of a and 6.
6
Let j be 4/(-18) - 706/(-18). Let g be 55/4 - 24/32. What is the highest common factor of g and j?
13
Let w = -85 - -127. Let v = -43 + 106. What is the highest common factor of w and v?
21
Suppose 3*d - 4*d = 0. Suppose d = 8*g - 6*g - 18. What is the highest common divisor of g and 27?
9
Suppose -5*t + t = -5*x - 275, -t + x + 69 = 0. Suppose 2*y - 84 - t = 0. What is the highest common divisor of 11 and y?
11
Let p be 25/(-100) + (-370)/(-8). Calculate the greatest common factor of p and 23.
23
Let h = -7 - -9. Suppose -h*i + 24 = -0*i. Suppose 0 = -3*a + i - 0. What is the highest common divisor of a and 4?
4
Suppose -x = -5*x + 96. Let g = 107 - -85. Calculate the highest common factor of g and x.
24
Let y(i) = 42*i + 58. Let g be y(7). Calculate the highest common factor of g and 32.
32
Let b(n) = -n. Let v(h) = -14*h - 1. Let o(z) = -6*b(z) + 2*v(z). Suppose m = 3*m + 6. Let g be o(m). What is the greatest common factor of 8 and g?
8
Suppose 3*l + 9 = 42. What is the highest common divisor of l and 44?
11
Let k be (-98)/(-21) - 2/(-6). Suppose -3*c - k*p = -59, -4*c + 2*p + 62 = -8. Let x be ((-12)/21)/(4/(-14)). Calculate the highest common factor of c and x.
2
Let b(i) = 7*i**2 - i. Let r be b(1). Suppose 3*o = 3*t - 78, -5*o - 11 = -1. Calculate the greatest common factor of r and t.
6
Let o(c) = c**2 + c**3 + c**2 - c - 2*c + 3 + 3*c**2. Let p be o(-3). What is the highest common divisor of p and 75?
15
Suppose -2*w + 5*x = -27, -3*x + x - 13 = -3*w. What is the highest common factor of 11 and w?
1
Let a(w) = -w**3 + 7*w**2 - 7*w. Let j be a(6). Let d be (-3 - 0)*22/j. Let b be 3840/35 + (-6)/(-21). What is the highest common factor of b and d?
11
Let n be -1*3/(-3) - -1. Suppose 0 = k - n*k + 12. What is the greatest common factor of k and 8?
4
Let o be ((-36)/15)/4*-5. Calculate the greatest common factor of o and 3.
3
Let y = 0 - -9. Let i be ((-2)/1 - y)/(-1). Let o = -113 - -168. Calculate the highest common divisor of o and i.
11
Suppose -2*n + 4 = -3*s, 2*n + n - 40 = -4*s. Suppose -39 = -3*h + 33. What is the greatest common divisor of n and h?
8
Let h be 1/((-26)/(-25) + -1). Let a(t) = -t**3 + 8*t**2 - 8*t + 9. Let b be a(7). Suppose -3*q = b*q - 25. What is the highest common divisor of q and h?
5
Let d be -6 + 9 + -1*2. Calculate the highest common factor of 9 and d.
1
Suppose -t + 122 = 2*t + a, 5*t + a - 204 = 0. What is the highest common factor of t and 123?
41
Let z = -7 + 13. Let x = z + -10. Let o be (-150)/(x/2) - 3. Calculate the greatest common factor of o and 9.
9
Let w = -269 - -377. What is the greatest common factor of w and 12?
12
Let z(y) = y**2 + 2*y - 7. Let j be z(-6). What is the highest common divisor of 68 and j?
17
Suppose 0 = 2*h + 5*f + 15, 5*f = 2*h + f - 12. Suppose 4*r - 2*g + 0*g - 126 = h, g - 129 = -4*r. What is the highest common factor of r and 4?
4
Let z = -4 - -6. Let s be z*(-1)/2*-9. Let t = 15 + 57. Calculate the greatest common factor of s and t.
9
Let f(t) = 2*t - 8. Let a(q) = -3*q + 16. Let n(s) = -3*a(s) - 5*f(s). Let h be n(-11). Calculate the greatest common factor of 30 and h.
3
Let s(d) = 11*d + 4. Let k be s(2). Suppose -4*a + 5*h + 63 = 0, -k = -4*a - 5*h + 47. What is the greatest common factor of 153 and a?
17
Let y be -3*(-3 + (3 - 1)). Suppose -60 = -b - 5*a, 5*b - 120 = -y*a + 92. Calculate the greatest common factor of b and 5.
5
Let m = -7 + 10. Let t(x) = m*x - x**2 + 5 - 3*x + 7. Let l be t(0). What is the highest common factor of 6 and l?
6
Suppose 0 = -4*v - 129 - 51. Let r = -25 - v. What is the highest common factor of 180 and r?
20
Let j(s) = 3*s - 7. Let u be j(6). Suppose 4*h = 138 + 170. Calculate the highest common divisor of h and u.
11
Let q be 236/6 - 14/(-21). Calculate the highest common factor of 20 and q.
20
Let t = -24 - -120. Suppose 3*v = -2*v + 60. Calculate the highest common factor of v and t.
12
Suppose 5*l = 49 - 4. Suppose 5*s - 4*s - 45 = 0. Calculate the highest common factor of s and l.
9
Suppose -9*b + 339 - 96 = 0. Suppose -2*o = o - 15. Suppose 18 = -4*t + o*t. What is the greatest common factor of t and b?
9
Let f(k) = 17*k - 2. Let d be f(4). Suppose 4*w = -4*c + 40, 3*w + c + 4*c = 38. Calculate the greatest common divisor of d and w.
6
Suppose 0 = p - 4 + 6, -2*j - 4*p + 172 = 0. What is the greatest common factor of 135 and j?
45
Suppose 0 = -5*j, 0 = -3*g - 2*j + 4 + 80. Let d = -52 - -114. Let n = d - 20. Calculate the greatest common factor of n and g.
14
Suppose 30 + 48 = 5*c - u, -72 = -5*c + 4*u. Suppose -271 + 81 = -3*t - s, -4*t + 2*s = -260. What is the highest common factor of c and t?
16
Let u = 222 + -123. What is the highest common divisor of 11 and u?
11
Let q = 20 + -8. Calculate the greatest common divisor of q and 6.
6
Let k = -21 - -25. Suppose 2*m + 108 = k*m. What is the greatest common factor of 36 and m?
18
Let v be (19/3)/(5/15). Let g = 50 + 26. What is the highest common divisor of v and g?
19
Let w(j) = -j**3 + 6*j**2 + 3*j + 2. Let c be w(6). What is the highest common factor of c and 200?
20
Let v(k) = -k**2 + 8*k + 8. Let l be v(7). Suppose 9 = u - l. Let f(m) = 2*m**2 - m + 2. Let j be f(2). Calculate the highest common factor of j and u.
8
Let q(c) = -2*c**2 - 13*c - 6. Let n be q(-5). What is the greatest common factor of n and 81?
9
Let c(k) = -k - 6. Let z be c(-9). Suppose -z*i + s = -29, -5*i + 49 + 6 = 5*s. What is the highest common factor of 90 and i?
10
Let q(h) = 5*h**2 + h. Let l be q(-1). Suppose 3*y + 86 = 4*k + 7, 0 = -2*k - y + 27. What is the greatest common divisor of k and l?
4
Let q(g) = g**3 + 11*g**2 - 11*g + 17. Let v be q(-12). Suppose -2*a = -v*b + 3*a + 215, 2*a - 40 = -b. Calculate the highest common factor of b and 7.
7
Suppose 2*w - 21 = -w. Let h(j) = 10*j + 15. Let k(r) = -9*r - 14. Let o(i) = 3*h(i) + 4*k(i). Let f be o(-10). What is the highest common divisor of f and w?
7
Let t(p) be the third derivative of p**6/120 + 7*p**5/60 - 7*p**4/24 - 5*p**3/6 + 4*p**2. Let g be t(-7). What is the highest common divisor of g and 4?
4
Let q be -2 + 6/(-2)*-2. Let c be q/(-14) - (-2)/7. Let j be 3 + (-1)/1 - c. Calculate the greatest common divisor of j and 6.
2
Let x = -41 - -125. Calculate the greatest common divisor of 12 and x.
12
Suppose 4*h = -27 + 35. What is the greatest common factor of 6 and h?
2
Let s = -9 + 16. Let g = s - 6. Calculate the highest common factor of 11 and g.
1
Let v(r) = -35*r + 3. Let t(s) = s**2 - 5*s - 3. Suppose 0 = -5*q + 20 + 5. Let u be t(q). Let w be v(u). Calculate the highest common divisor of 12 and w.
12
Suppose -2*t + 7*t = 0. Let b be -171*(t + 2/(-2)). Suppose -4*y + 19 = -3*y. What is the highest common factor of b and y?
19
Let z be (8 - -4)*6/4. Calculate the highest common divisor of z and 27.
9
Suppose 6 = 3*r - 60. Suppose -3*d = -r - 32. What is the highest common divisor of d and 162?
18
Let s be 133/9 + 10/45. Let c be (76/5)/(-2)*-5. Let t = c - -7. Calculate the greatest common factor of t and s.
15
Let g be (-30)/(-40) + (-3)/4. Suppose -2*p - 4 + 0 = g. Let l be (-294)/(-24) + p/8. Calculate the greatest common factor of l and 3.
3
Let o(a) = -44*a**3 + a**2. Let t be o(-1). Calculate the highest common divisor of t and 18.
9
Suppose 0 = 5*t - 0*t - 15. Suppose -t*h = -35 - 313. Let l = -56 + h. What is the highest common divisor of l and 12?
12
Let h = -90 - -210. Suppose -h = k - 5*k. What is the greatest common factor of 15 and k?
15
Let n(q) = -5*q**3 + 2*q**2 + q. Let c be n(2). Let y = c + 66. What is the greatest common factor of 12 and y?
12
Let w(d) = 1 + 2*d - d**3 - 5*d**3 + 2*d**2 + 3*d**3. Let p be w(-1). Let r be (-3)/(2*-3)*p. Calculate the highest common divisor of r and 2.
2
Let d be (-1 - -1)*(-7 - -6). Suppose 3*y - 18 = -d*y