r(x) = -x**3 + 12*x**2 + 10*x + 1. Let y = -18 - -30. Let d be r(y). Let t(o) = -o + 14. Let q be t(3). What is the greatest common factor of q and d?
11
Suppose 2*v - v - 20 = 0. Let r(s) = -3*s - 10. Let p be r(-10). Suppose 5*t - p = -i, -5*i - t + 48 = -4. Calculate the highest common factor of i and v.
10
Let k(l) = 357*l - 798. Let c be k(5). What is the greatest common factor of c and 105?
21
Let g(r) = -3*r**2 + 6*r + 8. Let a(k) = 6*k**2 - 12*k - 15. Let v(p) = 6*a(p) + 11*g(p). Let l be v(5). Calculate the greatest common factor of l and 344.
43
Suppose -12 = -3*r + 3*v, -3*v = 5*r + 2 - 6. Let y be -4*(14/(-8) - r). Let u(i) = -13*i - 5. Let w be u(-5). Calculate the greatest common factor of y and w.
15
Suppose 3*s + 36 = 3*l, -s + 12 = 4*l - 21. Let o(y) = y**3 - 5*y**2 + 2*y - 3. Let p be o(3). Let r = p - -21. What is the highest common factor of r and l?
3
Suppose -4*i = -3*w + 2, -11*i + 34 = 5*w - 10*i. Calculate the highest common divisor of w and 16.
2
Suppose 9*d - 4*d = 40. Let k = 8 + d. Let q be 1/((-63)/k - -4). Calculate the greatest common factor of 144 and q.
16
Suppose 3*a + 2 = c, -4*a = -10*c + 5*c + 10. Calculate the greatest common divisor of c and 50.
2
Suppose 0 = 10*p - 39*p + 1131. Calculate the highest common factor of 52 and p.
13
Suppose -3*u = 5*r - 229, -r - 292 = -4*u - 5*r. Let t = u - 54. What is the greatest common factor of t and 4?
2
Suppose -m + 6*m + 4*x - 804 = 0, m + 4*x - 164 = 0. Let o = -218 - -238. What is the greatest common factor of m and o?
20
Let v = -15 + 17. Suppose 0 = -x - 5*n + 29, v*x - 4*x = -3*n - 84. What is the highest common factor of x and 26?
13
Suppose -311 - 196 = -4*w - 3*g, -g + 253 = 2*w. Let c = w + -117. What is the greatest common divisor of 18 and c?
9
Let c(u) = -2*u**2 + 22*u + 1. Let d(q) = 3*q**2 - 33*q - 1. Let t(y) = 8*c(y) + 5*d(y). Let g be t(8). Calculate the greatest common factor of g and 9.
9
Let b(o) = o**2 + 21*o + 81. Let m be b(-24). Calculate the highest common factor of 408 and m.
51
Let d(o) = o**3 - 3*o**2 - 3*o + 4. Let s be d(3). Let y = -23 + s. Let p be ((-80)/y)/((-4)/(-14)). Calculate the highest common factor of p and 50.
10
Let g be (9 + -27)*(2 - 3). Let s = 32 - g. What is the highest common divisor of s and 238?
14
Let y = 5 + 15. Let p = y - 14. Calculate the greatest common divisor of p and 42.
6
Suppose 2*c = -c - 24. Let v be c/(-2) - (-10)/5. Let k be ((-621)/(-6))/9*2 - -1. What is the greatest common factor of k and v?
6
Let m = 1885 + -1845. What is the greatest common divisor of m and 210?
10
Let n(a) = 16*a**3 + 2*a**2 - a. Let i be n(1). Let v = 97 - 63. What is the greatest common divisor of v and i?
17
Let k = -2974 + 5354. What is the highest common divisor of k and 280?
140
Let t(d) = 2*d + 20. Let y be t(-10). Suppose y = k - 2*k + 48. What is the greatest common divisor of k and 72?
24
Suppose -3*m - m = -3*d + 28, 24 = 5*d - m. Suppose -13 + 9 = -d*h. Calculate the highest common factor of h and 7.
1
Let a(u) = -u**3 + 17*u**2 - 11*u - 73. Let d be a(16). Let i be (-2)/2*1*19. Let b = d - i. Calculate the highest common divisor of b and 52.
26
Let b(c) = -c**2 + 12*c - 4. Let r be b(4). What is the greatest common divisor of r and 56?
28
Let n(q) = 5*q**2 + 8*q + 3. Let s be n(-6). Let d be 490/70 - (-1*6 - 2). What is the greatest common factor of s and d?
15
Suppose -1033 + 320 = -3*p + 2*g, -4*g + 964 = 4*p. Let c = -159 + p. What is the highest common divisor of 10 and c?
10
Suppose l - 390 = -2*l + 2*u, u = -l + 135. What is the highest common factor of l and 24?
12
Suppose 2*u = -5*p - 149, 0 = -4*p + 5*u - 71 - 35. Let a = 74 + p. Let h = -1117 - -1132. Calculate the greatest common divisor of a and h.
15
Let t = 54 - 46. Let x(p) = -p**2 + 10*p - 1. Let q be x(t). What is the greatest common divisor of q and 120?
15
Suppose 0 = 2*n + n - 42. Suppose t + 5*l - 145 = -t, -2*l = -2. Calculate the highest common factor of t and n.
14
Suppose m - 397 = 2*f, -f = 5*m + f - 2045. Let u(j) = -3*j**3 + j**2 - 4*j + 1. Let w be u(-2). What is the greatest common factor of w and m?
37
Let q be -36*(14/(-4))/((-12)/(-8)). Let s be -2 - (58/(-8))/((-3)/(-24)). What is the highest common factor of q and s?
28
Suppose 0 = 4*s + 5*i - 3119, -2*s = -s + 5*i - 791. Calculate the highest common divisor of 8 and s.
8
Let i be -3 + (378/6)/7. What is the highest common divisor of i and 24?
6
Suppose -8*d = -9*d + 10. What is the greatest common divisor of d and 90?
10
Let f = 14 - 8. Let y be (-2)/(-2) + f/(12/26). What is the greatest common divisor of 112 and y?
14
Let x be (-4 + -10)*12 - 0. Let v be (x/(-15))/((-3)/(-30)). Let f = 26 + -12. Calculate the highest common divisor of f and v.
14
Suppose 0*k + 63 = 3*k. Calculate the greatest common factor of k and 672.
21
Suppose u = -9*u + 2310. What is the greatest common divisor of u and 63?
21
Let k = -400 - -214. Let f = -98 - k. Calculate the greatest common divisor of f and 8.
8
Let k be 2/7 + (-1800)/(-70). Let w(j) = -j**3 - 6*j**2 + 5*j - 1. Let r be w(-7). What is the greatest common divisor of k and r?
13
Suppose 4*k + 4*l - 876 = 0, 441 = -10*k + 12*k + 3*l. Calculate the highest common divisor of 9 and k.
9
Let j = 1124 + -1074. What is the greatest common factor of 650 and j?
50
Suppose -h - 2*h + 70 = w, 280 = 4*w + h. Let x be (0 + 2/6)/(3/279). Let t = 45 - x. Calculate the highest common divisor of t and w.
14
Let t be -4 - (-60 - (-9 - -4)). Let g be (-5)/(-1)*(-4)/(-5). Suppose -3*v = -k - 0*k - 54, 12 = -g*k. What is the highest common factor of v and t?
17
Suppose -35*f + 30*f + 90 = 0. Calculate the highest common divisor of 18 and f.
18
Let f = -2120 - -2554. What is the highest common factor of 28 and f?
14
Let a = -37 + 22. Let b be 0 + 8/(-12) - (-40)/(-30). Let r = b - a. Calculate the greatest common divisor of 143 and r.
13
Suppose -m + 32*t - 34*t = -216, 4*m - 5*t = 903. Calculate the highest common factor of 2 and m.
2
Suppose 449 - 2249 = -9*j. What is the highest common divisor of j and 8?
8
Let m = 10 + -4. Let c be 18/(-15)*(-20)/m. Let y be (c/14)/(2/14). What is the greatest common factor of 2 and y?
2
Suppose 0 = v + 2*p - 46, 5*v - 2*p - 258 = 32. What is the greatest common divisor of v and 182?
14
Let h = 198 + 357. What is the highest common factor of 15 and h?
15
Suppose -6*o + 43 + 299 = 0. Calculate the highest common divisor of 285 and o.
57
Let o = -18 - -59. Let z = o + -28. What is the greatest common factor of z and 39?
13
Let a = -34 + 33. Let r(n) = 2*n**2 + n + 1. Let v be r(a). What is the greatest common divisor of v and 16?
2
Let u = 21 + -1. Suppose -5*x - 1 = -11. What is the greatest common factor of x and u?
2
Suppose -2*z - 128 = -402. Let r = z - 134. Calculate the highest common divisor of r and 81.
3
Suppose -2*c = 5*o - 1692, -o - 2*c + 4*c = -336. Let r be (40/28)/(-5) + o/7. Calculate the highest common factor of 6 and r.
6
Let m(u) = u**3 + 12*u**2 - 3*u - 25. Let d be m(-12). Let p be 2/(-6)*(-5 + -13). Suppose -p*c = -c - 605. Calculate the highest common divisor of d and c.
11
Suppose 0 = -6*j + 5*j + 6. Suppose -10*h + j*h + 36 = 0. What is the highest common divisor of 81 and h?
9
Let d = -201 - -356. Let a = -59 + d. What is the highest common divisor of a and 12?
12
Let a = -40 + 44. Let z = -4 - -7. Suppose z*f - 173 = -5*t, -a*f = -3*t - 176 - 45. What is the highest common divisor of 14 and f?
14
Let u = 37 + -62. Let d = -4 - u. Let p be -20 - -18 - (-5 + 0). Calculate the greatest common factor of p and d.
3
Let b be (10/(-15))/((-1)/48). Suppose -2*f - 42 - 8 = -4*r, -3*r - 102 = 3*f. Let i = f - -111. What is the greatest common factor of b and i?
16
Let r be 140/(-6)*(279/(-45) + -1). What is the greatest common factor of 21 and r?
21
Suppose -d - 5*c = -50 - 2, -2*d + c + 71 = 0. Calculate the highest common divisor of d and 407.
37
Let k = -46 + 118. Suppose -188*x + 174*x + 224 = 0. What is the highest common factor of x and k?
8
Suppose -3*i = -i - 4. Suppose -3*a + 35 = i*b + 2*b, 0 = 5*a + b - 64. Let d = 29 - a. What is the greatest common divisor of 112 and d?
16
Suppose 2*h = 7*h. Let k = h - -9. Suppose k*j = -111 + 966. Calculate the greatest common factor of 19 and j.
19
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