1
Let p = 22 + -10. Suppose -12*b - 14 = -16*b - 2*w, -3*b = -2*w - 7. What is the greatest common factor of p and b?
3
Suppose -20*s + 556 = -144. What is the greatest common factor of s and 315?
35
Suppose 0 = 20*h - 22*h + 4. Suppose 0 = -3*j + 5 + 52. Suppose -109 = -5*b - j. What is the highest common divisor of h and b?
2
Suppose -45 = -3*r + 21. Let o = 981 + -948. Calculate the highest common factor of r and o.
11
Let k = 94 - -12. What is the highest common divisor of k and 265?
53
Let h be (33/132)/(2/808). Suppose 24 = 4*i + 268. Let t = i + h. Calculate the greatest common factor of t and 20.
20
Let t(i) = 12*i - 33. Let s be t(8). Calculate the highest common divisor of 105 and s.
21
Let x(a) = a + 1. Let n(h) = 3*h - 3. Let j(q) = -n(q) - 5*x(q). Let t be j(-2). Let y = -134 + 141. Calculate the greatest common divisor of y and t.
7
Suppose -10 = -0*y - 2*y. Suppose 25 = 5*p - y. Suppose 3*w = p + 84. What is the greatest common divisor of w and 10?
10
Let w = -1396 - -2314. Calculate the highest common divisor of w and 108.
54
Let m(t) = -t**2 - 21*t + 23. Let y be m(-17). What is the greatest common divisor of y and 56?
7
Let p = 205 - -11. Calculate the greatest common factor of 12 and p.
12
Let d = -122 + 86. Let n = d + 46. Calculate the greatest common divisor of n and 15.
5
Suppose -12*a + 15*a = 18. Suppose 0 = -o + a*o - 1260. Calculate the greatest common divisor of 42 and o.
42
Suppose -2*b + 6*x = 2*x - 70, -5*x + 10 = 0. Let y = 71 - b. Calculate the greatest common factor of y and 48.
16
Suppose 0 = -4*x - 19 - 5. Let c = -7 - x. Let o be 9/3*c + 15. Calculate the greatest common factor of 60 and o.
12
Suppose -4*z - 3*v - 2*v + 1897 = 0, -5*z = 5*v - 2365. Suppose 3*b = -3*t + 699, 0*t + 2*t + 4*b = z. What is the greatest common divisor of t and 29?
29
Let c = -2423 + 2472. Calculate the highest common divisor of c and 14.
7
Let p(v) = 3*v**2 + 7*v + 10. Let i be p(-4). What is the highest common factor of 75 and i?
15
Let d = 163 - 38. Suppose -10*x = -15*x + d. What is the greatest common divisor of 5 and x?
5
Suppose 0 = -f + 4*n + 12, -f + n + 14 = -4*n. Suppose -f*t + 4*v = -56, 2*t - 6 - 6 = -2*v. What is the highest common factor of 110 and t?
10
Let l = -1955 - -3791. Calculate the greatest common factor of l and 108.
108
Let u(q) = q - 7. Let x = 10 + -1. Let y be u(x). Let r = 50 - y. What is the highest common factor of 120 and r?
24
Let p = -1097 - -2010. What is the highest common factor of p and 166?
83
Suppose 2*r - 120 = -w + 90, -2*w = -r - 420. Calculate the greatest common divisor of 120 and w.
30
Let s = 347 + -323. Suppose -3*x = 3*z - 3, -2*x - 3*x - z = -13. What is the greatest common divisor of x and s?
3
Suppose -53 - 35 = -4*d. Suppose -4*f + 6*f - 66 = 0. Calculate the highest common divisor of d and f.
11
Let j(q) = -35*q + 28. Let c be j(-1). Let n(s) = -s + 4. Let u be n(2). Suppose u*z + 1 - 15 = 0. What is the greatest common divisor of z and c?
7
Suppose -2*f + 452 + 72 = 0. Let c = f - 154. Let p(z) = z + 21. Let a be p(-9). What is the greatest common factor of c and a?
12
Suppose f = 5*f + 4*z - 36, -49 = -5*f - 3*z. Let v = -23 - -55. Let x = 76 - v. Calculate the highest common factor of f and x.
11
Suppose -4*x + 49 = 5*i, 4*i - 2*x = -x + 56. Suppose -u + i = -32. Let m be (-2 + 6)*5 - 2. What is the greatest common divisor of m and u?
9
Suppose -n + 26 = 3*o, 3*o + 3 = -3*n + 69. What is the highest common divisor of 265 and n?
5
Suppose -100 = 2*r - 6*r. Suppose -4 = -a, a + 168 - 47 = 5*u. Calculate the highest common divisor of r and u.
25
Suppose -4*m + 37 = 5*j, 0*m = -3*j + 4*m + 3. Suppose 0 = n + j, 2*n = -0*c + 3*c - 19. Let o be 36/3 - 1 - 2. Calculate the highest common divisor of c and o.
3
Suppose 2*r - 3*f - 12 = -f, -5*r = 2*f - 2. Suppose -r*y - 6 = -4*y. Suppose 0 = -2*b - y*b + 80. What is the greatest common factor of 2 and b?
2
Suppose 8*i = 9*i - t - 650, -4*i + 5*t + 2605 = 0. Calculate the greatest common divisor of 15 and i.
15
Suppose 5*w = -5*f + 385, 0*f + 4*w + 57 = f. Suppose -5*u + f + 72 = 0. Let g be 5/(-5) + (u - -2). Calculate the highest common factor of 20 and g.
10
Suppose -3*v + 54 = -456. What is the highest common factor of 10 and v?
10
Let m be -8 + 888/2 + -1 + 5. Calculate the greatest common divisor of m and 33.
11
Let u(j) = 7*j**2 - 3*j - 3. Let q be u(3). Let x(g) = 19*g - 491. Let i be x(26). What is the highest common divisor of i and q?
3
Suppose 2*d + 2*d - 4*s = 1732, 2*s = -4*d + 1738. Calculate the greatest common factor of d and 682.
62
Suppose 30*k - 511 = -1. Suppose -2*r - 2*r - 133 = -n, -3*r + 321 = 2*n. Calculate the greatest common factor of n and k.
17
Let p(g) = 6*g**2 - 3*g + 1. Let w be p(2). Let j = -5 + w. What is the greatest common divisor of j and 7?
7
Let c(j) = -j**3 + 15*j**2 - 23*j - 33. Let m be c(8). Calculate the highest common factor of 132 and m.
33
Suppose -1268 = -4*o - 7*j + 3*j, 0 = -4*o - 2*j + 1258. Calculate the highest common factor of 32 and o.
8
Suppose -5*j - 4*q = -56, j - 4*q + 24 = 2*j. Let c(m) = m**2 + 17*m - 10. Let x be c(-19). Calculate the highest common factor of j and x.
4
Suppose 2*f = 6*f + 236. Let i = f + 62. Calculate the greatest common factor of i and 27.
3
Let b be 6/42*63*(51/9 + -2). Let j(d) = d - 1. Let q be j(1). Let x be -1 + q + 23 + 0. Calculate the greatest common factor of b and x.
11
Let z(c) = -3*c**2 - 15*c - 12. Let v(g) = 6*g**2 + 29*g + 23. Let r(n) = 3*v(n) + 5*z(n). Let x be r(-6). Calculate the highest common factor of x and 5.
5
Let o = 23 + -15. Let f(w) = 423*w - 1691. Let v be f(4). What is the greatest common factor of v and o?
1
Suppose -714 = -13*q + 92. What is the highest common factor of 155 and q?
31
Let g(b) be the third derivative of -b**6/60 - b**5/6 - b**4/4 - 5*b**3/3 + 16*b**2. Let m be g(-5). Calculate the greatest common factor of 160 and m.
20
Suppose -3*v + 10 = 2*j, -5*j + 8 = -4*v + 3*v. Let w be (-212)/(-18) - (48/27 - j). What is the greatest common factor of w and 12?
12
Suppose 3 = -4*m + 23. Suppose -2*j - 2*k + 46 = 0, -3*k = -4*j - 6*k + 91. Suppose -w - h = h - j, -m*h = 20. What is the greatest common divisor of 20 and w?
10
Suppose -33 = -5*j - 8. Suppose -77 = j*p - 3*a - 377, -3*a = 5*p - 300. Suppose p - 564 = -6*g. What is the greatest common divisor of g and 12?
12
Let f be 3/(-5 + 2) - -3. Let q(g) = 5*g - f + 0 - 3 + 8*g. Let j be q(8). Calculate the highest common divisor of 11 and j.
11
Suppose n + 3 = 3*l, -n - 3*l = -5*l + 2. Suppose -3*w - 4*y + 8 = 0, -2*y - 16 = -w - n*y. What is the highest common factor of 64 and w?
8
Let h = 3339 - 2675. What is the greatest common divisor of h and 32?
8
Let g(t) = 109*t + 1380. Let r be g(-12). Suppose -5*j = -0*j - 45. Calculate the greatest common factor of j and r.
9
Let k = 20 + -20. Suppose k*q - 3*h = q - 18, h = 5. Suppose 3*b = q*v - b - 11, 4*v - 16 = 4*b. Calculate the greatest common factor of v and 40.
5
Suppose -3*d - 33*f + 870 = -31*f, 2*d + 4*f - 580 = 0. Calculate the greatest common factor of d and 348.
58
Let d be (-6)/5 - 4/(40/(-322)). Calculate the greatest common divisor of d and 899.
31
Let w be 1/(((-2)/60)/(-1)). Let b = 196 - 113. Suppose -x - 4*x + b = -2*l, 0 = -4*x + 3*l + 72. Calculate the greatest common divisor of w and x.
15
Suppose i + 0*i - 2*d = 12, 0 = 2*i - 2*d - 32. Suppose -i = 5*q, -4*q + 8 + 3 = 3*l. Calculate the highest common divisor of l and 9.
9
Let u be (9 - 104/12) + (-158)/(-3). Calculate the highest common factor of u and 53.
53
Suppose -4 = -r + 1. Suppose 382 = -0*c + r*c - y, 0 = -5*c + 5*y + 370. What is the highest common divisor of c and 22?
11
Suppose 20 = q + 2*a - 4*a, 5*a - 25 = 0. Suppose 77*s = 76*s + 12. What is the greatest common factor of q and s?
6
Suppose 4*m - 12 = 3*k, -4*m + 0*k + 20 = -k. Calculate the highest common factor of m and 75.
3
Suppose -2*l + 3*w + 23 = 0, 5*l - 2*w - 25 = -w. Suppose -5*u - l*y + 27 = 0, -u - y = -0*y - 5. What is the highest common factor of 77 and u?
7
Suppose -5*g + 209 = 3*p - 2363, -4*p - 2*g + 3448 = 0. Suppose 12*o + p = 16*o. Calculate the highest common divisor of o and 24.
24
Suppose -5*u - 290 = -7*k + 2*k, -2*k + 118 = -3*u. What is the greatest