.
10
Let a = 22 + -13. Let n = a + -3. Let u = -57 + 81. What is the greatest common factor of u and n?
6
Let b(g) = -2 - 3 + 7*g + 2*g. Let w(k) = 2*k**2 - 9*k + 15. Let x be w(2). Let r be b(x). Calculate the highest common factor of r and 60.
20
Let j be 322/8 + -1*(-2)/(-8). Calculate the highest common factor of 10 and j.
10
Let r be 0/2 - 12*1. Let y = 23 + r. Suppose 4*w = -w - 2*o + 383, 309 = 4*w - o. What is the highest common factor of w and y?
11
Let a = -202 + 466. Suppose 3*s + 0*s - 5*t = 47, 0 = 5*s - 5*t - 95. Calculate the highest common divisor of s and a.
24
Let s be 20 + (-1)/(-3)*0. Let i(b) = -b + 13. Let a be i(-7). Calculate the highest common divisor of s and a.
20
Let b = -16 + 24. Let z be 60/b*(6 + 2). What is the greatest common divisor of 24 and z?
12
Let h be (1 + -30 - -5)*-1. What is the highest common divisor of 60 and h?
12
Let a be 2/(-3) + 28/6. Suppose 5*v = -5*h + 205, h = a*v + 3*h - 166. Suppose 3*y - v = -w - y, 0 = 5*y. Calculate the highest common factor of w and 7.
7
Let g be (-75)/10*(-88)/10. Calculate the highest common divisor of 22 and g.
22
Let t = -19 - -11. Let n be (1/(-2))/(t/768). What is the greatest common divisor of n and 6?
6
Let v be 15*((-50)/(-6) + -2). Let x be 8/3 - 8/(-24). Suppose 6*s = 3*s + 4*u + 59, -x*s + v = 5*u. What is the highest common factor of 10 and s?
5
Suppose 2*s - 17 = -c - 3*s, -4*c + 44 = -4*s. What is the highest common factor of 12 and c?
12
Let p be -2 + 0 + 1 + 5. Let i(h) = -h**2 - 9*h + 2. Let a be i(-6). Calculate the greatest common factor of p and a.
4
Let p = 18 - 6. What is the highest common factor of p and 6?
6
Let d = -1 - -4. Let c be -3 - (-609)/d - 2. Suppose -93 = -5*k + b, 3*k = b + 2*b + 63. Calculate the highest common divisor of c and k.
18
Let n be (-594)/(-55) - ((-2)/(-10))/(-1). What is the highest common divisor of 99 and n?
11
Suppose -2*y = 2*y - 3*i + 127, -3*i + 15 = 0. Let v = 44 + y. Let u be 2/4 + 223/2. Calculate the highest common divisor of u and v.
16
Let a(s) = -2*s**2 + 29*s - 6. Let c be a(14). Suppose -k + 171 = 2*z, 3*z + 2*k - 254 = -0*k. What is the highest common divisor of z and c?
8
Suppose m = -3*m + 20. Suppose -m*v + 5 = -420. Suppose u + 3*u = 68. What is the highest common factor of u and v?
17
Let s(o) = o**3 - o**2 + o + 40. Let y be s(0). What is the greatest common factor of 10 and y?
10
Let m = -74 - -76. Suppose -4 + 7 = 3*b. Calculate the greatest common factor of b and m.
1
Let o(k) = k + 55. Let c be o(-7). What is the highest common factor of c and 192?
48
Let c be -1 + 3 - (0 + -14). Suppose -3*t = -20 - 19. Let m = t + -9. What is the greatest common divisor of c and m?
4
Let b = 21 - 15. Let o be -2*((-27)/b - -3). Suppose 0*t - o*r - 33 = -2*t, 0 = 3*t + 2*r - 43. Calculate the greatest common divisor of t and 5.
5
Let s = -1 + 4. Let p be (47 - 0 - s)/2. Suppose -55 = -5*d + 4*d. Calculate the greatest common divisor of d and p.
11
Let h be 42/(-12)*400/(-28). What is the greatest common factor of 20 and h?
10
Let v(c) = c**2 - 5*c - 6. Let r be v(-2). Let s be (-12)/10*300/(-1). Suppose 3*g - s + 100 = k, 92 = g + k. Calculate the greatest common divisor of g and r.
8
Let u = -5 + 8. Let m(y) = -2*y - y**3 + 10*y**2 + 0*y**3 - 5 - u*y**2. Let r be m(5). What is the greatest common divisor of r and 7?
7
Suppose 0 = 3*l + 15, -z = -4*l - 0*l - 33. What is the highest common divisor of 26 and z?
13
Suppose 3*d - 4*d = -r - 3, -d = 2*r + 9. Let n(i) = -8*i - 1. Let m be n(d). Calculate the highest common divisor of 56 and m.
7
Suppose 10 = 2*j, 5*o - j - 2*j = 55. Let b = 5 + 0. Suppose 0*a - 70 = -b*a. What is the greatest common divisor of o and a?
14
Let u(a) = a**2. Let l be u(-2). Suppose -12 = -4*c + 2*w, 3*c + 7 = -5*w + 3. What is the highest common divisor of c and l?
2
Let c = 18 + -9. Suppose 5*i = h + 361, -290 = -7*i + 3*i + 2*h. Calculate the highest common divisor of c and i.
9
Suppose -5*d + 4*m - 18 = 1, 3*m = -d. Let h be (-2)/d - 890/(-15). Calculate the highest common factor of 40 and h.
20
Let a = 3 + -1. Suppose 0 = -4*r + 5*r - 4*i - a, -4*r = -3*i + 5. Let k be -1 + 1 + r + 12. Calculate the greatest common divisor of 5 and k.
5
Let v = -48 + 80. What is the greatest common divisor of 224 and v?
32
Let w = 314 + -191. What is the greatest common divisor of w and 41?
41
Suppose 0 = -g - 5*o + 26, -2*o - o - 18 = -5*g. Let d = 9 - g. Let r = 55 - 22. What is the highest common factor of d and r?
3
Suppose i - 4*z = 60, -6*i - 4*z + 276 = -i. Calculate the greatest common factor of 8 and i.
8
Let p(w) = w**3 - w**2 - 2*w + 10. Let d be p(0). Calculate the highest common divisor of d and 30.
10
Let d(t) = t**2 - 4*t + 7. Let f be d(5). Suppose 0 = 5*k - 2*k - f. Let w be (3/(-9) + 3)*6. What is the highest common factor of w and k?
4
Let y be (-2 - (-1 - 1))/(-2). Let s(a) = 4*a + 23 + 31 - 3*a. Let f be s(y). What is the greatest common divisor of f and 6?
6
Let w(q) = 91*q - 3. Let c be w(3). Suppose 4*s = 4 + 4. Suppose -s*i - 3*i + c = 0. What is the highest common divisor of 6 and i?
6
Suppose 4*c - q = 48, 4*q + 17 + 7 = 2*c. Calculate the highest common divisor of 96 and c.
12
Suppose 2*n - 5*n + 6 = 0. Suppose 4*t + 4*a - 24 = 0, -2*t + 45 = 3*t + n*a. What is the greatest common divisor of 1 and t?
1
Suppose 5*o - 23 - 2 = 0. Let i(b) = 6 - 8*b + 4*b - 2*b + b**2. Let l be i(o). What is the highest common divisor of 11 and l?
1
Let d = 189 + -134. What is the highest common factor of 5 and d?
5
Let x be (-560)/(-55) + 2/(-11). Calculate the greatest common divisor of x and 70.
10
Let i(y) = -4*y - 3. Let v be i(-3). Let g = v - 5. Suppose 6*p - 14 = g*p. Calculate the greatest common divisor of p and 77.
7
Let v be ((-40)/(-6))/((24/(-9))/(-4)). Calculate the highest common divisor of v and 15.
5
Suppose 3*o - 40 = 2*a, 3*a = -3*o - 0*a + 60. Suppose -d + 6 = -3*k - 5*d, 0 = 4*k - 3*d - 17. Calculate the greatest common divisor of o and k.
2
Suppose 1 = 3*a - 5*c - 3, a + 8 = 4*c. Let h be (10 + (-8)/(-4))/(6/4). What is the highest common factor of a and h?
8
Let p be (3 + 18 - 2) + -1. Calculate the highest common factor of 54 and p.
18
Let o(q) = q**2 - 4*q - 3. Let m be o(-5). Suppose 7*s - 140 = 2*s. Calculate the highest common divisor of s and m.
14
Suppose -4*o = -2*o - 294. Suppose 3*i = 2*c + 4 + 8, c - i = -4. Suppose c*a = -3*a + o. What is the greatest common factor of 7 and a?
7
Suppose 3*v - y = 55, 5*y = -4*v + 2*y + 56. Calculate the highest common factor of 119 and v.
17
Suppose -29 = -3*m + 322. Let l = -3 + 3. Let a be ((-1 - l)*13)/(-1). Calculate the highest common divisor of m and a.
13
Suppose -66 = 6*s - 8*s. What is the highest common divisor of s and 165?
33
Suppose -4*k + 139 + 101 = 0. Let u(z) = 95*z**3 - z**2 - 2*z - 1. Let y be u(-1). Let r = -55 - y. Calculate the highest common divisor of k and r.
20
Let r(s) = -s**3 + 7*s**2 + 8*s + 4. Let m be r(8). Let j = -1 + m. Suppose i + 41 = 2*c, i + j*i = -2*c + 36. What is the greatest common factor of c and 4?
4
Suppose 2*k + 223 = 4*g + 3*k, -4*k = -3*g + 153. Let q = 18 - 7. What is the greatest common factor of q and g?
11
Let d = 35 + -23. Let w be (-1)/(-2) - 35/(-2). Calculate the highest common factor of w and d.
6
Suppose -3*n + 4*l + 37 = -0*n, -4*l + 115 = 5*n. Calculate the greatest common divisor of n and 19.
19
Let p be 2 + -1 + 2*1. Let f = -20 - -14. Let t be (f/(-12))/(1/54). Calculate the greatest common factor of t and p.
3
Let x = -39 + 42. What is the greatest common factor of 4 and x?
1
Let f(b) be the second derivative of -b**5/20 + b**4/3 + 5*b**3/6 - b. Let y = 5 + -1. Let d be f(y). Calculate the greatest common divisor of d and 8.
4
Let r(d) = -11*d - 1. Let f be r(-4). Let z be f/3 + (-8)/(-12). Let l = z - -33. Calculate the greatest common factor of l and 12.
12
Suppose -2*d = 2*d + 40. Let v = -1 - d. Calculate the highest common divisor of 63 and v.
9
Let y = -80 + 91. What is the highest common divisor of y and 55?
11
Suppose -4*w - 46 = -238. Suppose -2*a + 6*a = 64. What is the highest common divisor of w and a?
16
Let l be (0 - 0) + -1 - -49. Let m = 9 - 19. Let t = 16 + m. Calculate the greatest common factor of t and l.
6
Let o(r) = r**2 + 13*r + 