= -18 + 82. Let v = 6 + -6. Suppose s + 12 = -4*p, v*s - 3*p = 2*s - 1. What is the highest common divisor of m and s?
8
Let d = -40 + -12. Let a = 58 + d. What is the greatest common divisor of a and 48?
6
Let c = 33 - 28. Suppose 0*j + c*j = 480. Calculate the highest common factor of 32 and j.
32
Let t be -106 + 99 + (-2)/(-1)*6. What is the greatest common divisor of 640 and t?
5
Suppose -n - 5*f = -0*n - 33, -f = -2*n + 99. What is the highest common factor of n and 84?
12
Let h(f) = f + 1. Suppose -3*m + 5 + 1 = 0. Let l be (-9)/(-6)*m/1. Let k be h(l). Calculate the greatest common divisor of k and 28.
4
Let n be (42/(-28))/(-2 - -5)*-2116. What is the greatest common divisor of 46 and n?
46
Suppose -c + 5*f = 40, -f - 28 = -2*c - 117. Let x be (c/6)/5 + (-53)/(-2). What is the greatest common factor of 5 and x?
5
Suppose -427*m + 401*m + 42120 = 0. What is the highest common divisor of 12 and m?
12
Let w be 2 - 438/(-27) - 4/18. Suppose 0 = w*f - 2179 + 343. Calculate the greatest common divisor of 6 and f.
6
Suppose -12*u - 3 = -111. What is the greatest common factor of 99 and u?
9
Let d(s) = s**3 + 11*s**2 - 16*s. Let x be d(-12). Suppose 15*h = 11*h + x. Calculate the highest common divisor of 12 and h.
12
Let a = 43 + -35. Suppose -3*p - 400 = -a*p. Calculate the highest common factor of p and 20.
20
Let n = 14 - 13. Let h(b) = 8*b**2. Let f be h(n). Let r be f/(-3)*84/(-4). Calculate the highest common factor of r and 7.
7
Let r(c) = c**2 - 8*c + 8. Let p be r(7). Suppose -k + 3*s + 17 - 15 = 0, 3*k - 20 = 2*s. Calculate the greatest common divisor of p and k.
1
Suppose 3*d - 5*b = 64, -4*b = -8 - 8. Suppose 3*h - d = 149. What is the highest common divisor of h and 531?
59
Suppose 5*j = 40 + 20. Let w(m) = m**2 - 10*m + 14. Let s be w(j). Suppose 3*d - s = -2*v - 1, 4*v - 30 = -2*d. What is the highest common factor of d and 33?
11
Let x(w) = 6*w - 123. Let t be x(33). What is the greatest common divisor of t and 15?
15
Suppose -4*n + 2*i = -3*i + 1, 5*n - 2*i = -14. Let k be 219/15 - n/10. Suppose -k*l + 12*l = -135. What is the highest common divisor of 30 and l?
15
Let w(b) = -18*b + 24. Suppose -10*i = -6*i + 32. Let z be w(i). Calculate the highest common divisor of z and 24.
24
Let s = 19 - -15. What is the highest common factor of s and 289?
17
Let s(d) = -d - 4. Let m be s(-3). Let w be (-1)/(0 + m - -2). Let k be 19/2*(w + 3). Calculate the highest common factor of 19 and k.
19
Let l(a) = -23*a**2. Let t be l(-1). Let c = t - -32. Suppose 2*b - 133 + c = -3*q, -2*b - 36 = -q. Calculate the highest common factor of q and 100.
20
Let o = -47 - -47. Let s be (16/40 - (-713)/5) + o. What is the greatest common divisor of s and 13?
13
Let j(v) = 6*v + 6. Suppose 0 = o - 4*f + 4, -5*o - 35 = -3*f - 2*f. Let s be (-12)/o*1*2. Let x be j(s). Calculate the greatest common factor of 264 and x.
24
Let a(m) be the second derivative of m**4 - m**3/2 - 3*m. Let q be a(2). Calculate the greatest common divisor of q and 105.
21
Let w(b) = 2*b**2 + 15*b + 9. Let i be w(-11). Let k be i/7 - (48/21 - 2). Suppose 3*f = 34 - 10. What is the highest common divisor of k and f?
4
Let g(o) = -170*o + 4. Let d be g(-2). Let u = 610 - d. Let k = u + -182. Calculate the greatest common factor of k and 12.
12
Suppose 3*i + 12 = 0, c - 2*i + 60 = 2*c. Suppose -2*r + 112 + c = 0. Calculate the highest common factor of 60 and r.
30
Suppose 3*t - t = 6. Suppose 188 = 14*a - 22. Calculate the greatest common divisor of a and t.
3
Suppose -15 = -20*k + 15*k. Suppose 2*a - 2*x = 58, -5*a - k*x + 2*x = -115. Calculate the greatest common divisor of 6 and a.
6
Suppose -3*o + 23 = 11. Let p = 21 - 10. Suppose p*n = o*n + 140. What is the highest common factor of n and 20?
20
Let j(p) = -2*p + 38. Suppose -2*w = 7*w - 36. Let c be j(w). Calculate the highest common divisor of 6 and c.
6
Let t(w) = -2*w**3 - 6*w**2 - 5*w - 2. Suppose -6 = 2*j + 2*i, -17 = 3*j - 5*i - 0*i. Let b be t(j). Calculate the greatest common factor of b and 25.
25
Let i = 10 + -16. Suppose 3*o = -2*g - 0*g - 24, 0 = -3*g + 5*o - 17. Let j be (26/3)/(i/g). Calculate the greatest common divisor of j and 13.
13
Suppose 3*c - 11 = -2*f + f, -2*f + 13 = -3*c. Let u = -21 - -7. Let r be f/u - (-9053)/77. Calculate the greatest common factor of r and 13.
13
Suppose 0*a = 5*v + 5*a + 655, 0 = 5*v - a + 625. Let i = -104 - v. Calculate the highest common divisor of 11 and i.
11
Suppose -4*c + 278 = -21*n + 19*n, -3*c = 4*n - 236. Calculate the highest common factor of 27 and c.
9
Suppose 3*t + 40 = 7*t. Let c be 1144/55 + 2/t. Let b be (-6)/(-12)*(c + -1). What is the greatest common divisor of 40 and b?
10
Let x be (-3)/(-12) - (153/(-12) - -3). Let u(s) = s**3 - 10*s**2 + 3*s. Let d be u(x). Calculate the highest common factor of d and 50.
10
Let d = 265 + -235. Suppose 0 = -3*k - 3*n + 9, 21 = 4*k + 4*n - 3*n. Calculate the greatest common factor of k and d.
6
Suppose 6 = -6*m + 174. Let d = -535 - -759. What is the greatest common factor of m and d?
28
Suppose -4*u + 11*u - 21 = 0. Let f be 4 + -4 - -49 - -1. Suppose -3*c + 2*w + f = 0, u*c + 2*w = -2*w + 62. What is the highest common divisor of 198 and c?
18
Suppose 0*h - 1088 = -4*h. Let l = 3315 - 3299. Calculate the highest common factor of l and h.
16
Let s(z) = -3*z**2 + 5*z**2 - 8 + 10*z + 2*z**2 + 7*z**2. Let m be s(6). What is the greatest common divisor of 56 and m?
56
Suppose t + 89*g - 85*g - 11 = 0, 0 = g - 1. Suppose -4*y + h + 2*h = -237, -3*y + 5*h = -164. Calculate the highest common divisor of y and t.
7
Suppose -11*x = -2*x - 4437. What is the highest common factor of x and 17?
17
Let q(o) = -17*o + 113. Let y be q(4). Calculate the highest common divisor of y and 9.
9
Let c be ((-2)/(-4))/((-3)/(-18)). Suppose 0 = -2*y + 2*s, -5*s = -3*s - 10. What is the greatest common factor of y and c?
1
Suppose 0 = 2*b - 4*b - 2. Let h be 5/(0 - b) - -2. Suppose -28*y + 12*y + 336 = 0. What is the greatest common factor of y and h?
7
Let s be (0 - (-1032)/5)/((-1002)/(-2505)). What is the greatest common divisor of 129 and s?
129
Let b = 3 - -1. Suppose -1203 = -b*t + 141. Suppose -2*y + t = y. Calculate the greatest common factor of y and 14.
14
Let p = -73 - -211. Calculate the greatest common factor of p and 184.
46
Suppose 5*z + 2*o = 1263, 5*z - 2*o = 2*o + 1269. What is the highest common factor of z and 66?
11
Let u = 2298 + -1544. What is the highest common divisor of 39 and u?
13
Suppose 5*p - p - 196 = 0. Let j(k) = -k**3 + 5*k**2 + 2*k - 3. Let d be j(5). Calculate the highest common factor of d and p.
7
Let g(r) = -2*r**2 - 4*r + 348. Let x be g(0). What is the highest common factor of x and 12?
12
Let g(h) = 12*h - 111. Let c be g(13). Suppose -t = -2*t + 30. What is the highest common factor of t and c?
15
Let v = 3 + -3. Suppose 6*g + h - 545 = 2*g, -2*g - 3*h + 285 = v. Calculate the highest common divisor of 27 and g.
27
Let h = 58 - 31. Let i = h - 61. Let d = 38 + i. Calculate the greatest common divisor of 10 and d.
2
Suppose 3*d - 4*a - 1026 - 100 = 0, -3*d + 3*a = -1125. Calculate the highest common factor of d and 102.
34
Let z be (-1350)/(-40) - 28/16. What is the greatest common factor of 208 and z?
16
Let l(f) = -3*f - 18. Let n be l(-17). What is the greatest common factor of n and 3?
3
Let h = -10 + 10. Suppose 3*n + h*n + 45 = 0. Let w = 30 + n. Calculate the highest common factor of 45 and w.
15
Suppose -4362*s = -4412*s + 4750. Let f = 54 + -16. Calculate the greatest common divisor of s and f.
19
Suppose -g + 2 + 6 = 0. Suppose -69 = w - 102. Let z be ((-336)/20)/(w/(-10) + 3). Calculate the greatest common divisor of z and g.
8
Suppose -13*q = -1193 - 432. Calculate the highest common divisor of q and 100.
25
Let s = -1 + 0. Let y(c) = -c**3 - 10*c**2 - 21. Let z be y(-10). Let n = s - z. Calculate the highest common divisor of n and 8.
4
Suppose 0*g + 2*g = -4*d + 24, 3*d + g = 17. Let z be (-600)/45*(-6)/d. Suppose -z = 2*r - 64. Calculate the greatest common divisor of r and 3.
3
Let y = -20 - -33. Let n be (-393)/(-15) + (-3)/15. What is the greatest common factor of y and n?
13
Suppose 5*m - 5 = 0, 2*m = q + 3*m - 69. Let w = q + -28. Suppose -2*n - 3*n = -a - w, 0 = 4*n - 3*a - 43. What i