
Suppose 821 = 4*a - 91. What is the greatest common factor of 171 and a?
57
Let q(r) = r**3 + 27*r**2 - 26*r + 63. Let n be q(-28). Let b be 7/2 + (-6)/4. Suppose 200 = n*m - b*m. Calculate the greatest common factor of m and 100.
20
Suppose j - 2 = 2*b, -2*j + b = 2 - 21. Suppose 4*n + j = 0, -3*n + 99 = 4*v - 0*n. Calculate the highest common factor of v and 54.
27
Suppose 2*r + 13 = l, -30 = -2*l - r + 6*r. Suppose l*g + 8 = 113. Let d be 20/(-5) - g/(-3). What is the highest common divisor of 6 and d?
3
Let m(q) = -q**3 + 17*q**2 - 8*q - 3. Let v be m(12). Calculate the highest common divisor of v and 23.
23
Suppose 3*j + 5*n - 195 = 0, -9*j + 12*j + 2*n = 195. Calculate the highest common divisor of 429 and j.
13
Let s = 34 - 30. Let l be (s/6)/(32/15792). Suppose -4*z + 111 = -l. What is the highest common divisor of 10 and z?
10
Let n(g) = 4*g**2 + 2*g + 1. Let p be (-4)/(-18) + 68/18. Suppose -p*s = -1 - 7. Let b be n(s). Calculate the highest common factor of b and 105.
21
Suppose 0 = -4*j + 16, -3*t = j - 3*j - 64. Calculate the greatest common divisor of t and 132.
12
Suppose 2*d - 7 + 3 = 0. Let p(k) = k**2 + 12*k + 11. Let o be p(-10). Let t = o - -10. What is the highest common factor of d and t?
1
Let d = 367 - 267. Calculate the highest common divisor of d and 1600.
100
Let s(g) be the second derivative of -11*g**3/6 + 25*g**2/2 + 13*g - 2. Let m be s(-16). What is the greatest common factor of 67 and m?
67
Suppose 4*q + 3*n - 163 = 0, 7*q = 9*q + 3*n - 83. What is the greatest common factor of q and 100?
20
Suppose 21 + 15 = 6*a. Calculate the highest common divisor of a and 14.
2
Let y = -9 - -14. Suppose 6*f = y*f + 45. Suppose -120 = -9*l + 5*l. Calculate the greatest common factor of l and f.
15
Suppose -4*g + 1 = 2*q - 1, -5*q + 5*g = -35. Let d be (2/(-4))/(3/(-240)). What is the highest common divisor of d and q?
5
Let t(a) = 3*a**2 - 41*a - 44. Let g be t(18). Calculate the greatest common divisor of g and 20.
10
Suppose 377 = 9*q + 80. Calculate the greatest common factor of q and 99.
33
Let w(b) = -4 + 72*b**3 - 71*b**3 + 0*b - 19*b**2 + 22*b + 0. Let d be w(18). What is the greatest common divisor of d and 51?
17
Let x = 1 - 9. Let d = x - -14. Calculate the greatest common divisor of 6 and d.
6
Let i = 800 + -753. What is the highest common factor of 611 and i?
47
Suppose 5*c - 3*d = c + 3258, -3266 = -4*c - d. Calculate the highest common divisor of c and 48.
48
Suppose 4*d = 3*l + 45, d - 4 - 12 = -4*l. What is the greatest common divisor of 54 and d?
6
Let g be (-1)/((-3)/(-10) - 8/16). Let i = 41 + g. What is the greatest common factor of 69 and i?
23
Suppose -2*c + 42 = -0*c. Let m = c + -15. Suppose -m*k = -k - 15, 118 = 4*v + 2*k. Calculate the greatest common divisor of v and 14.
14
Suppose 558*m - 1638 = 555*m. What is the greatest common divisor of m and 13?
13
Let k be 14/2 + 6 + -9. Suppose -k*j + 6 = -j. Suppose -p + j*p - 15 = 0. What is the highest common divisor of 75 and p?
15
Suppose -3*k = -6 - 3. Suppose g + 15 = k. Let o be g/42 - 424/(-14). What is the greatest common divisor of 6 and o?
6
Suppose -r + p + 4 = 0, -2*p - 4 = -r + p. Suppose -r*i + 70 = -722. Suppose 3*c + c - 88 = 0. What is the highest common factor of c and i?
22
Let o = 96 + 32. Let f = -119 + o. What is the highest common factor of 9 and f?
9
Suppose -7*l = -9*l + 24. Suppose 4*k + l = 2*k. Let b be 4 + (k + 4 - -1). Calculate the greatest common divisor of b and 12.
3
Suppose -40 = -5*k - 25. Let u(v) = 3*v**3 + 0*v - 3 - 3*v**2 + 0*v. Let q be u(k). What is the highest common divisor of q and 34?
17
Suppose 0 = 2*g - 6*g + 2352. What is the highest common divisor of g and 42?
42
Suppose -5*w = -5*v + 5, 0 = -2*v - 2*w + w - 10. Let o = v + 41. Calculate the greatest common divisor of 266 and o.
38
Suppose 0 = -5*r + 15, -2*r + 98 = 5*z + 17. Let j = -47 - -92. Calculate the highest common divisor of j and z.
15
Suppose -3*g = -f - 147, 0 = -3*g + 2*f + 3*f + 135. Suppose -5*s = -r + 10 + 5, 5*s + 115 = 5*r. Calculate the greatest common factor of g and r.
25
Let u = -44 + 46. Suppose 120 = u*w + 40. Calculate the greatest common factor of w and 10.
10
Suppose 2*l = 7*l - 5*d - 720, 0 = -d. Let w be 411/(-27) - (-14)/63. Let h = w + 33. Calculate the greatest common factor of h and l.
18
Let a(h) = -h**3 + 8*h**2 + 3*h + 1. Let m be a(8). Suppose -o = -3, 4*o + 2 = 2*v - 136. Calculate the highest common divisor of v and m.
25
Let q(u) = -2*u - 9. Let v be q(-8). Let w be 7/v*(3 + 0). Suppose -x = -w*x + 136. What is the greatest common divisor of 17 and x?
17
Suppose -4*o + 456 = -2*g, -2*o - 218 = -4*o - 4*g. Suppose 2*j - 6*j + 2*f = -92, -o = -5*j + 3*f. What is the greatest common divisor of 5 and j?
5
Let d(g) = 6*g + 13. Let s(c) be the first derivative of c**2/2 + c + 6. Let n(u) = d(u) - 4*s(u). Let a be n(0). What is the greatest common factor of 3 and a?
3
Let v be 2/8 - 15/12. Let a be 12/9*(-90)/v. Let q(z) = -20*z. Let p be q(-1). Calculate the greatest common factor of p and a.
20
Let o = 45 + -45. Let s = 4 - 0. Suppose 0 = s*h + 4, -2*n + h - 3*h + 26 = o. What is the highest common divisor of n and 14?
14
Suppose 11*n - 566 = 9*n - 4*b, -5*b + 1430 = 5*n. Calculate the highest common factor of 34 and n.
17
Suppose -3*v - 8 = -2*v - 5*z, v - 3*z + 2 = 0. What is the greatest common divisor of v and 77?
7
Suppose -6*r + 911 + 211 = 0. What is the greatest common factor of r and 17?
17
Let v(y) = -y**3 + 5*y**2 - 4*y. Let c be v(4). Suppose c = a + 2*a - 189. Calculate the highest common divisor of 7 and a.
7
Let o be 1*(2 + -2 - -29). Suppose -132 = -3*u + z, u - 2*z = 10 + o. Suppose -107*r + 172*r - 1950 = 0. What is the highest common factor of r and u?
15
Let d(u) = u + 18. Let v be d(-12). Suppose -v*n + 5*n + 15 = 0. Calculate the greatest common divisor of n and 60.
15
Suppose -u = -2*q + 5, 0*u - 5*u = -3*q + 11. Suppose -v - 6*v - 105 = 0. Let j be ((-54)/v)/(-6) - 106/(-10). Calculate the greatest common divisor of j and q.
2
Suppose -148 = -9*c + 302. What is the highest common factor of 30 and c?
10
Suppose -9 = 3*n - 60. Suppose n = -4*z - 15. Let j = z - -13. What is the greatest common factor of 25 and j?
5
Suppose -950*c + 210 = -943*c. Let h = -26 + 56. What is the highest common factor of h and c?
30
Suppose -120 = 93*n - 96*n. Calculate the greatest common factor of n and 70.
10
Suppose 3*n = -6 - 0. Let b be n + (3 - (5 + -1)). Let m = b + 7. Calculate the highest common factor of m and 2.
2
Suppose -2*x + 13 = 3*u, 4*u = 37*x - 36*x + 10. Calculate the greatest common factor of x and 50.
2
Suppose v + 2*z - 24 = -2*z, 0 = 4*v - 4*z - 36. Let m be (v/16)/(1*(-3)/(-540)). Let a = 12 - -3. Calculate the highest common factor of a and m.
15
Let q(l) = -l**3 - 9*l**2 + 10*l + 3. Let d be q(-10). Suppose 0 = u - 4*t - 18, -t + 54 = d*u + 4*t. Calculate the greatest common divisor of 6 and u.
6
Let n(u) = u**2 + 26*u + 215. Let f be n(-19). What is the highest common divisor of f and 1189?
41
Let z be 27/(-6)*(-224)/84. What is the greatest common factor of 1596 and z?
12
Let o(b) = 5*b**3 - 4*b**2 + 8*b + 9. Let s(c) = c**3 + c + 1. Let u(w) = o(w) - 6*s(w). Let v be u(-5). Calculate the greatest common factor of 36 and v.
18
Let l(g) = 10*g - 40. Let k be l(7). What is the highest common factor of 210 and k?
30
Let v = 769 + -742. Calculate the greatest common divisor of 621 and v.
27
Suppose 209 = 23*m - 67. Suppose -11 = -2*a + 7*a + 2*v, -3*v = 9. Let r(q) = 36*q**2 + q + 1. Let j be r(a). Calculate the highest common factor of m and j.
12
Suppose -30*v - 257 = -6257. Calculate the highest common divisor of v and 50.
50
Let n(g) = -g**3 - 16*g**2 + 37*g - 14. Let o be n(-18). Let x = -22 - o. Calculate the highest common divisor of x and 40.
10
Suppose -15 = 3*t, 5*t + 246 = -4*m + 5*m. What is the highest common divisor of 51 and m?
17
Let v(m) = 6*m**2 - m - 1. Let p be v(-1). Let h be 362*2/48 + 26/(-312). What is the highest common factor of h and p?
3
Let a = -54 - -33. Let i = a + 22. What is the highest common divisor of 13 and i?
1
Let f = 557 + 58. What is the greatest common divisor of 15 and f?
15
Let x = 149 - 54. Calculate the highest common divisor of 38 and x.
19
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