b - 162 = -2*h - 31, z*h = -5*b + 217. What is the highest common factor of b and 369?
41
Let w(z) = -32*z**2 - 261*z - 1. Let o be w(-8). Suppose -27*b - o*b + 45540 = 0. Calculate the highest common factor of b and 30.
30
Suppose 0 = -5*c + 4*c + 127. Let w = 132 - c. Suppose 4*z + 0*z = r - 6, 4*r - w*z = 24. What is the highest common divisor of 78 and r?
6
Suppose 7*i - 6176 - 3008 = -7*i. What is the highest common divisor of 64 and i?
16
Let q(l) be the third derivative of l**5/60 - 3*l**4/8 + 5*l**3/3 + l**2. Let x be q(9). Let d = 3204 - 3134. Calculate the greatest common divisor of x and d.
10
Let p(k) = -2*k**2 - 34*k - 33. Let g be p(-10). Let h = 222 - g. Calculate the greatest common divisor of 23 and h.
23
Let g(n) = 9*n - 38. Let o be g(5). Let d(x) = -7*x + 99. Let m be d(o). Suppose 2*j + 3*j - 150 = 0. Calculate the highest common divisor of m and j.
10
Suppose 7*w = 16*w - 36. Suppose -5*m + 63 = w*y - 0*m, -4*y + 60 = 4*m. What is the highest common divisor of 228 and y?
12
Suppose -2*o = 3528 - 10264. What is the greatest common divisor of 24 and o?
8
Let s(w) = w**2 - 8*w - 8. Let d be s(10). Let x(u) = d*u**2 - 6 - 2*u + 0*u - 11*u**2. Let g be x(5). Calculate the highest common factor of g and 9.
9
Let k = -44 + 50. Let p be (-2)/(-6) - (-64)/k. Suppose p*n - 113 = 107. What is the greatest common divisor of 60 and n?
20
Let m be (0 + 3)/(414/(-70) + 6). Suppose -m = 6*z - 563. Calculate the highest common divisor of 22 and z.
22
Let q(f) = f**2 - 33*f - 88. Let x be -4*(-18)/(-24) + (0 - 0). Let z be q(x). What is the highest common factor of 280 and z?
20
Suppose 6*w - 74 = -110, 420 = 2*c - 3*w. Calculate the highest common factor of 3149 and c.
67
Suppose -2*q = -7*q + 180. Let f be 16*-1 - (-80 - -69). Let y be 120/f*4/(-2). What is the greatest common divisor of y and q?
12
Let b be 591 + -19 + (-264)/(-8). Calculate the greatest common factor of b and 275.
55
Let x(v) = -3*v**2 - 37*v - 32. Let n be x(-11). What is the greatest common factor of 4668 and n?
12
Suppose 476 + 564 = 26*p. Let b = 97 - p. What is the highest common divisor of b and 399?
57
Let l(k) = 65*k - 8*k**2 + 17 - 11*k**2 + 14*k**2 - 3*k**2. Let y be l(7). Calculate the highest common factor of y and 40.
40
Let s be ((-3206)/(-1145))/(1/235). Calculate the greatest common factor of 188 and s.
94
Let t(o) = 6*o**2 + 119*o - 441. Let s be t(23). Calculate the greatest common factor of s and 10.
10
Let y = 811 - 505. Let x(m) = -9*m**3 - m**2 - 6*m - 5. Let p be x(-1). What is the greatest common factor of p and y?
9
Let r = -2508 + 16678. Calculate the greatest common divisor of 390 and r.
130
Suppose 0 = -a - p + 1382 + 1994, 4*a - 13516 = -2*p. What is the greatest common factor of a and 178?
178
Let s be 447/12 + 6/8. Let c(t) = 4*t**2 - 9*t + 5. Suppose 8 = 4*u - 16. Let o be c(u). Calculate the highest common divisor of o and s.
19
Suppose 5*n = 3*y + 30033 - 6440, 0 = 4*n + y - 18871. Calculate the greatest common divisor of n and 28.
14
Let v = -259 + 226. Let n(q) = -q**3 - 33*q**2 - q - 20. Let i be n(v). What is the highest common divisor of i and 91?
13
Let g(w) = -2*w + 52. Let t be g(26). Suppose t = -9*k + 8*k - 44. Let h = 407 - k. What is the greatest common factor of h and 41?
41
Suppose 21 = -10*r - 39. Let k be (2580/(-10))/r + (3 - 0). What is the highest common divisor of 46 and k?
46
Let w(g) = -g**3 - 4*g**2 - 2*g - 8. Let m be w(-4). Suppose -532 = -14*b - m. What is the greatest common divisor of b and 418?
38
Let w = -8955 - -8975. Let c = 77 - 47. Let b be c/4*80/6. Calculate the greatest common factor of w and b.
20
Suppose 3*a - 2*x = 1796, -4*x + 440 + 1350 = 3*a. Let n = a - 323. What is the highest common divisor of 55 and n?
55
Let q(b) = -b**2 + 3*b - 2. Let r be q(4). Let o = -507 + 504. Let d be (-36)/o - (0 + r)/3. What is the highest common factor of d and 154?
14
Let h = 5736 + -4916. Calculate the highest common divisor of 12 and h.
4
Let l(g) = -g**3 + 4*g**2 - 6*g + 12. Let h be l(3). Suppose 5*t - 635 - 25 = -h*q, 440 = 2*q - 3*t. Calculate the greatest common divisor of 20 and q.
20
Suppose s - 4 = 0, 39*y + 5*s - 910 = 34*y. What is the greatest common factor of 1424 and y?
178
Suppose -7*z + 6 = -5*z. Suppose -z*b + 3*u + 128 = -37, -4*b = -u - 226. Calculate the highest common factor of 57 and b.
57
Let a(s) = -s**3 - 10*s**2 + 24*s + 5. Let y be a(-12). Suppose k - 27 = -12*z + 9*z, -k - 37 = -y*z. What is the greatest common factor of 12 and z?
4
Suppose 2*n + 60 = 5*p, -5*n + p - 134 = -30. Let r(f) = -f**3 - 21*f**2 - 27*f - 105. Let j be r(n). Calculate the greatest common divisor of j and 350.
35
Let j be (-1)/(-2)*84/1. Let w(g) = -2*g**3 + 598*g**2 + 4911*g + 454. Let s be w(307). What is the greatest common divisor of j and s?
21
Let s(p) = -p**3 + 5*p**2 - p + 6. Let m be s(5). Suppose -2*k = -141 + m. Let t = 178 - 164. What is the greatest common factor of t and k?
14
Let v(m) = m**3 - m**2 - 28*m + 23. Let d be v(7). Let h(k) = -5*k - 3. Let t be h(-3). Suppose 3*j = t + 21. What is the highest common divisor of j and d?
11
Let f be 768/(-480)*2/4*-5. Suppose -5*d + 5*m + 75 + 15 = 0, -f*d + m + 81 = 0. What is the highest common factor of d and 273?
21
Let j(h) = -h**3 + 3*h**2 + h - 3. Let n be j(-5). Suppose -827*y = -824*y - 5*m - 328, -m = 3*y - 280. What is the greatest common divisor of y and n?
96
Let b = 79 - 31. Suppose -487 = 5*d - 2407. Calculate the highest common factor of b and d.
48
Let i be (-6)/(-30) - ((-363)/495)/((-2)/(-24)). Let d = 0 - -1. Calculate the highest common divisor of i and d.
1
Suppose 814 = 2*k - 1462. Suppose -k - 497 = -5*p. Let h = p - 229. What is the highest common factor of h and 147?
49
Let a(k) = k - 1. Let n be a(6). Suppose -1112*m + 5946 + 28795 + 26419 = 0. What is the highest common factor of n and m?
5
Suppose 0 = -4*i - h + 792 + 234, -3*h = -6. Suppose i = u + 2*j, -4*j - j - 746 = -3*u. Calculate the greatest common factor of u and 28.
28
Let h(k) be the first derivative of k**2/2 + 217*k + 137. Let r be h(-16). Calculate the highest common factor of 67 and r.
67
Suppose 27*o - o = 546. What is the highest common divisor of o and 2037?
21
Suppose -3*n = 3*z - 2766, -3 = -2*z - 7. Let h = 933 - n. Calculate the greatest common divisor of h and 21.
3
Suppose 32 = p - 53. Let a be 6/(-4*21/56). Let i be (a/(-6))/((-10)/(-255)). What is the highest common divisor of p and i?
17
Let i = 12 + -8. Suppose -3*u + n - 4 = 0, u - 7*n = -8*n + i. Suppose u = 5*r + 8 - 278. What is the highest common factor of 6 and r?
6
Suppose 8 = 3*r - 28. Suppose y - 4 = -2. Suppose -16 = -y*b + b. What is the highest common divisor of r and b?
4
Suppose 19*r + 103 = -68. Let k(a) be the second derivative of -4*a**3/3 - 12*a**2 - 3*a. Let g be k(r). Calculate the greatest common divisor of g and 6.
6
Let k be -4 - 77275/(-70) - 4/(-56). Calculate the highest common factor of k and 5.
5
Suppose -145*w - 88 = -146*w. Calculate the greatest common divisor of w and 22.
22
Let i(t) = -t**3 + 10*t**2 + 10*t + 27. Suppose -2*b + n = -13 - 6, -5*n - 40 = -5*b. Let h be i(b). What is the greatest common divisor of h and 176?
16
Let c = -404 + 692. Let m = -179498 + 179516. What is the greatest common divisor of c and m?
18
Let h = -29 + 34. Suppose h*c = 4*y + 3, -4*y + 3*y - 4*c = 6. Let w be ((-9)/3 + -1)*y. What is the greatest common divisor of w and 48?
8
Let o = 26 - 22. Suppose 0 = -3*k + 22 + 14. Let t be 531/k + (-1)/4. What is the greatest common divisor of o and t?
4
Suppose b = a - 6194, 2*a - 4*b + 1781 - 14177 = 0. What is the highest common divisor of a and 10?
10
Suppose 5*b + 2*o = 66, -4*b + 291 = -2*o + 213. Suppose 0 = -t - 1, g - 3*t - 259 = -3*g. What is the highest common factor of g and b?
16
Let q = -378 - -431. Suppose -q - 3 = -8*g. Calculate the greatest common divisor of 14 and g.
7
Let i be ((-11)/(-22))/(1/14). Let m = 5 - 3. Suppose 5*k + 3*w - 271 = 0, -k - m*w + 106 = k. What is the greatest common divisor of k and i?
7
Let v be ((-16)/(-32))/(1551550/517180 - 3). Calculate the highest common factor of 19 and v.
19
Suppose -713 = 17*m - 254. Let w = m - -18. Let g(d) = d**2 + 4*d - 9. Let k be g(w). What is the greatest common f