12*r**3 + 2*r**2 + 3*r + 2. Suppose 2 = -f - 0*f. Let a be u(f). Suppose 0 = 3*z - 71 + 11. Calculate the greatest common factor of a and z.
20
Suppose 827 = 10*c - 673. Calculate the highest common divisor of 50 and c.
50
Let f = 0 - 0. Let d be 60/24 + 1/(-2). Suppose d*p = -5*r - 2, -p - 11 = -f*p + 5*r. What is the highest common divisor of p and 36?
9
Suppose -2*p + 901 = 871. Let k = 525 + -360. What is the greatest common divisor of k and p?
15
Let o = 71 + 176. What is the greatest common factor of 38 and o?
19
Let x = 283 - -977. Suppose x = v + 5*v. What is the greatest common divisor of 30 and v?
30
Suppose -4*n - 33 + 121 = 0. What is the greatest common factor of n and 253?
11
Let n be (1/(-4))/(30/(-1080)). Suppose n*d - 63 = -0*d. Calculate the highest common divisor of 21 and d.
7
Let z be (-1 - 75)/((-19)/(19/2)). Calculate the highest common factor of z and 418.
38
Let g(o) = 2*o - 6*o**2 - 3 + 6*o**2 + o**2 + 2. Let z be g(-11). Calculate the greatest common factor of z and 14.
14
Let l(f) = 2*f**3 - f**2 - 2*f + 1. Let c be l(3). Suppose c = 5*k + 15. Suppose 9*v = k*v + 56. Calculate the greatest common divisor of v and 70.
14
Suppose -3*w + 55 = -2*i, -2*w - i = -2*i - 35. Calculate the highest common factor of w and 45.
15
Suppose -3*a - 1907 = -4*w, 5*w - 2375 = -2*a + 4*a. Calculate the highest common divisor of 387 and w.
43
Suppose 5*d - 4*b - 4176 = 0, -d - b = -4*d + 2500. What is the greatest common factor of 26 and d?
26
Suppose -4*v + 65 = 5. Let w(q) = q**2 - 17*q + 35. Let p be w(2). Calculate the greatest common divisor of v and p.
5
Let s = 49 + 63. Let t = s - 108. Let z be (-2)/(-4) + 1/2. Calculate the greatest common divisor of z and t.
1
Suppose 41*t - 666 - 318 = 0. What is the highest common factor of 32 and t?
8
Suppose -2*c - 55 = 81. Let a = 73 + c. Let u be (-43)/(-1 - 0) - -2. What is the greatest common divisor of u and a?
5
Suppose 3*t = -2*p + p + 343, 0 = -t + 2*p + 119. Suppose -44*h + 43*h + t = 0. Calculate the greatest common divisor of h and 23.
23
Let y(c) = c**2 - c. Let t be y(1). Suppose -2*p = d - 33, -d - d - 3*p + 63 = t. What is the highest common divisor of d and 135?
27
Let o(c) = c**2 + 55*c + 210. Let v be o(-51). What is the highest common divisor of 78 and v?
6
Suppose d + 3*c + 10 = -3*d, -5 = -5*d + 5*c. Let u be 2/d + -309 + -11. Let h be u/(-18) - 1/(-9). Calculate the highest common divisor of 6 and h.
6
Let h = 8 - 5. Suppose q = -h*q + l + 220, -3*l = 2*q - 124. Calculate the highest common divisor of q and 14.
14
Let l(y) = y**3 + 25*y**2 + 18*y + 84. Let o be l(-24). What is the greatest common factor of o and 798?
114
Let w(i) = -93*i**3 - 4*i**2 - 4*i - 1. Let f be w(-1). Let l be (-3 + 49)*(-2)/(-4). What is the greatest common divisor of l and f?
23
Suppose 3*d - 9 - 27 = 0. Let a(s) = -s**2 + 5*s + 8. Let n be a(6). Let r be n/(-8) + (-290)/(-8). Calculate the greatest common factor of r and d.
12
Let p(s) = s**2 + 2*s - 11. Let z be p(7). Calculate the highest common divisor of 104 and z.
52
Suppose 5*t - 5*u = 2460, -4*u - 2458 = -0*t - 5*t. What is the highest common divisor of t and 70?
70
Suppose -15*f + 7709 + 1891 = 0. What is the highest common factor of 10 and f?
10
Let r(h) = 33*h**2 + 5*h + 36. Let k be r(-5). What is the highest common divisor of 44 and k?
44
Suppose 14*m + 68 - 278 = 0. What is the highest common divisor of m and 105?
15
Let n = 76 - 20. Let a = 25 - 21. Suppose -y + a*v - 2 = 6, y = v + 4. Calculate the greatest common factor of n and y.
8
Suppose -6*c - 2310 = -27*c. Calculate the greatest common divisor of c and 88.
22
Suppose 0 = -u - o + 10, 69*u - 62 = 64*u - o. Suppose -2*q - 2 = -4, 4*q = -5*h + 589. Calculate the highest common factor of u and h.
13
Suppose -2*d - 4*y + 31 = 7, 4*d - 2*y + 2 = 0. Let s be 1050/(-4)*3/((-9)/d). Calculate the highest common factor of s and 70.
35
Suppose 4 + 0 = -l. Let y = 7 + l. Calculate the greatest common factor of y and 15.
3
Suppose 0 = -639*j + 635*j + 36. Calculate the greatest common factor of 450 and j.
9
Let f = -7 + 18. Let h(u) = -23*u - 16. Let m be 17/(-4) - (-39)/(-52). Let c be h(m). Calculate the highest common divisor of f and c.
11
Let t(s) = 5*s - 27. Let w be t(18). Calculate the highest common factor of 18 and w.
9
Suppose 3*z - 3 = -5*g + 4*z, 4*g + 2*z = 8. Suppose 5*o = 15, -4*h - 3*o + 26 + 31 = 0. Let s be (h - 4)*g*12. Calculate the highest common factor of 12 and s.
12
Suppose -2*x + 7 - 3 = -q, -28 = -5*q - 2*x. What is the highest common factor of 20 and q?
4
Let j be 2/(-3)*384/(-2). Suppose -5*z = 5*x - 60, -z + 22 = 3*x + 18. Calculate the greatest common factor of j and z.
16
Suppose 14*g - 448 = -2*u + 9*g, 20 = -5*g. Calculate the highest common divisor of u and 13.
13
Suppose -3*h + h + 22 = -2*r, -2*r + 27 = 5*h. Suppose a + 1 = -n, 5*n - h = -27. Let y = 14 - 8. What is the highest common factor of y and a?
3
Let g = 7 - -8. Let x be (-23 + 9)*g/(-6). What is the highest common divisor of 5 and x?
5
Let y = -530 + 616. What is the greatest common factor of y and 215?
43
Suppose -5*m = -h - 389, 21*h - 394 = -5*m + 17*h. What is the highest common divisor of m and 102?
6
Suppose -3*m = -4*u + 79, 3*u - 4*m - 63 = -3*m. What is the greatest common divisor of u and 55?
11
Suppose 20 = -2*y + 3*y + 5*i, -5*y = 3*i - 166. Calculate the highest common divisor of y and 1120.
35
Let v(o) = o + 60. Let w be v(-50). What is the highest common factor of 1780 and w?
10
Let a = 15 - 9. Suppose 36 = 4*y + 4*x, -a*y + y = 3*x - 47. Suppose f + f = y. What is the greatest common divisor of f and 35?
5
Let o be (2736/665 + (-2)/5)*7. Let m be 1 + 5/(5/8). Let d(k) = 13*k + 13. Let y be d(m). Calculate the greatest common factor of o and y.
26
Suppose -60*x + 12*x = -19008. What is the greatest common divisor of x and 84?
12
Suppose -4*g - 515 = -9*g - 4*v, 2*g - 208 = -2*v. What is the greatest common factor of 264 and g?
33
Let k = -372 + 412. What is the greatest common divisor of k and 160?
40
Let i(k) = -k**2 + 16*k - 37. Let l be i(12). Suppose 0*t - 3*t = -3. What is the greatest common factor of l and t?
1
Suppose 23*c = 15*c + 1120. What is the highest common divisor of c and 35?
35
Suppose -x = -4*j + 87, 4*x = j - 0*x - 3. Let o(w) = -21*w - 7. Let f be o(-8). Calculate the highest common divisor of j and f.
23
Let r = -514 + 664. Calculate the highest common divisor of 100 and r.
50
Let h(r) = 28*r. Let f be h(2). Suppose 6*m = -6*m + 96. Calculate the highest common factor of f and m.
8
Let f be -7*((880/28)/(-5) - -2). Let w be -2 + ((-1)/(-3))/((-4)/(-384)). Calculate the greatest common divisor of f and w.
30
Let a(c) = -c - 11. Let h be a(-13). Suppose -h*d + 80 - 16 = 0. What is the highest common divisor of 80 and d?
16
Let w = 321 + -22. Calculate the greatest common factor of 92 and w.
23
Suppose -841 = -18*d - 11*d. What is the highest common divisor of d and 377?
29
Let i = -11 - 14. Let o = i - -25. Let a be 7 - (o + 2 + 1). What is the highest common factor of 4 and a?
4
Let u(m) = -m**3 - 13*m**2 + m + 4. Let b be u(-13). Let a(n) = 1 + 2*n**2 - n**2 + 4 + 8*n. Let z be a(b). Calculate the highest common divisor of 42 and z.
14
Suppose 197*w - 4126 = -1197 + 2981. Let y(v) = 150*v**2 - v + 1. Let k be y(1). What is the greatest common factor of w and k?
30
Let x = 41 + -45. Let z be (3 - -5) + x + 7 + -3. Calculate the highest common factor of 4 and z.
4
Let k be (-21)/(-27) + (0 - 4/(-18)). Let p be (-7 + 3 + k/5)*-5. What is the greatest common divisor of 19 and p?
19
Suppose 240*c - 272 = 208. Let d = 63 + -33. Let r = d + -16. What is the highest common divisor of r and c?
2
Suppose 3*c = n + 129 + 66, 2*n - 250 = -4*c. Suppose -3*m = -2*m - c. What is the greatest common factor of 16 and m?
16
Let z(b) = 6*b - 2. Let t be z(10). Calculate the highest common factor of 232 and t.
58
Suppose 0 = -38*d + 1600 + 1592. Calculate the highest common divisor of 147 and d.
21
Let r = 35 - -125. Suppose 36 = 2*k - 4. What is the greatest common factor of r and k?
20
Let g = 7 - 43. Let o = 47 + g. Let c be 32/(-6)*33/(-2). What is the highest common divisor of o and c?
11
Let g = 561 - 121. Let h = -176 + g. Let o = -44 + 77. Calculate the gr