
Suppose -5*c + 3*k = -1997 + 398, -1276 = -4*c + 2*k. Calculate the highest common divisor of 126 and c.
63
Let y(p) = -22*p. Let i be y(-4). Suppose -627*o = -612*o - 165. What is the highest common divisor of i and o?
11
Let c(f) = -528*f - 987. Let l be c(-2). What is the highest common factor of l and 9246?
69
Let k be 59*11388/494 + 4/(-38). What is the highest common divisor of k and 15?
5
Let p = -1705 + 1705. Let a be 1/3 + 10/6. Suppose -a*x - 1 = 5*g, 4 + p = g - x. What is the highest common divisor of g and 7?
1
Let u(z) = 7*z**2 + 34*z + 45. Let g be u(-7). What is the greatest common factor of g and 375?
75
Let c = 4758 - 4468. What is the greatest common divisor of c and 3335?
145
Let f(v) = 30*v + 125. Let g be f(-4). Suppose -43*l = 3*u - 38*l - 635, -4*u = g*l - 845. Calculate the greatest common factor of 42 and u.
42
Let q be 4/(4/1) + 7 + 1. Suppose -100 - 1169 = q*l. Let s = 168 + l. Calculate the greatest common divisor of s and 3.
3
Let j = 141 + -139. Suppose -3*s + 0*s = -24. Suppose j = -3*r + s. What is the greatest common factor of r and 14?
2
Let c be (-4)/8*(-16 + -8). Suppose -9 = 5*d - 29. Calculate the highest common divisor of d and c.
4
Suppose 2*q = -0*q + 12. Let l be (-20 - -22)/((-2)/(-4)). Suppose d + 37 = l*c, c + 13 = 2*c + d. What is the highest common divisor of q and c?
2
Suppose 3241*r = 1063*r + 60984. Let k be ((-4)/6)/(6/(-27)). Suppose -4 = -k*p + 122. Calculate the greatest common divisor of p and r.
14
Let m(r) = -105*r + 9. Let k be m(1). Let a = k + 169. Calculate the highest common factor of a and 73.
73
Let a be 10/110 + 0 + 7390/22. Calculate the greatest common divisor of 210 and a.
42
Suppose -4*a + 450 = 2*a. Let g(k) = 2*k**2 + 4*k + 20. Let c be g(7). Suppose -4*r = 3*x - c, 0 - 2 = 2*r. Calculate the highest common divisor of x and a.
25
Suppose 3353 = 137*d - 9330 - 10470. Calculate the highest common divisor of 871 and d.
13
Suppose -2662 = -68*t + 46*t. Suppose 3*k - 20 = -k. Suppose -p + 6 = -3*y - k, 2*p - 22 = 2*y. Calculate the greatest common divisor of t and p.
11
Let d(t) = -36*t - 2548. Let r be d(-84). Calculate the highest common divisor of r and 364.
28
Let v(t) = 879*t - 5977. Let x be v(7). What is the highest common factor of 1518 and x?
22
Let i = -36691 + 37337. Calculate the greatest common factor of 1064 and i.
38
Let w(k) = k + 14. Let g(d) = -d - 1. Let h(s) = -4*g(s) - w(s). Let r be h(5). Let u be 84 + -2 + 6 - 8. What is the highest common factor of r and u?
5
Let g = -31 - -36. Suppose s - 6*a - 25 = -a, 0 = g*s + 3*a - 97. What is the highest common factor of s and 130?
10
Let g be 91/(8 - -5)*(-120)/(-14). Suppose -42*z = -51*z + 900. What is the highest common factor of z and g?
20
Suppose 0 = -142*n + 175*n - 1238 - 379. What is the greatest common factor of 378 and n?
7
Let w = 29 - 53. Let j be -1 - (8/w)/((-1)/(-1491)). What is the highest common divisor of 16 and j?
16
Suppose 0 + 10 = 5*i. Let q(x) = 4*x**i + 22*x**2 - x - 4*x**2. Let k be q(1). Calculate the greatest common divisor of 84 and k.
21
Suppose 0 = 4*i - 3*t - 1413, 1411 - 1402 = -3*t. Calculate the greatest common factor of 1261 and i.
13
Suppose -4*p - 5*j = 1, 6*p - p + j - 25 = 0. Let h be (-9035)/26 + 2/(-8)*2. Let b = -342 - h. Calculate the highest common divisor of p and b.
6
Let l be 4/(-6) + (-2)/(-3). Suppose -x + 14 = 2*v - 5*x, 3*v - 16 = x. Let p = v - l. What is the highest common factor of p and 10?
5
Let y be ((-60)/770*11)/(-1*3/63). Calculate the highest common divisor of y and 738.
18
Let d(r) = -2*r**2 - 80*r - 164. Let h be d(-32). What is the greatest common divisor of 87 and h?
87
Let z = -425 - -819. Suppose -2*m = 3*r - z, 0*r + 4*m - 404 = -3*r. Calculate the highest common factor of r and 112.
16
Suppose -7540 = -7*o + 10436. What is the highest common factor of 24 and o?
24
Let b(w) be the first derivative of w**2/2 - 3*w + 3. Let d be b(6). Let n = -486 - -489. Calculate the highest common factor of d and n.
3
Let s(c) = c**3 - 15*c**2 - 16*c + 2. Let u = -62 - -78. Let n be s(u). Suppose -n + 28 = x. Calculate the greatest common factor of x and 286.
26
Let q be (4/(-3))/(-4) - (-355)/15. Suppose 6*u - q*u + 20484 = 0. Suppose -u = -4*p + 14. Calculate the greatest common divisor of 18 and p.
18
Suppose -j + 4*h = -3843, h - 8199 - 7241 = -4*j. What is the greatest common factor of j and 68?
17
Let p(v) = 193*v**2 + 4*v - 5. Let m be p(1). Let g = -191 + m. What is the highest common divisor of g and 5?
1
Let u = 1372 + -1990. Let q = -13 + -27. Let j be q/220 + u/(-11). What is the greatest common factor of 8 and j?
8
Suppose 111 = 2*s + 7. Suppose 4*d = -5*i + 79, -9*d + s = -5*d - 4*i. What is the highest common divisor of d and 8?
8
Let v(w) = -483*w - 3. Let b be v(1). Let n = 834 - b. Suppose 6*o = -2*o + n. What is the highest common factor of 15 and o?
15
Let z(s) = -s**3 - 7*s**2 + 13*s + 1. Let o be z(3). Suppose 3*w = 2*w - 56. Let f = o - w. Calculate the greatest common divisor of f and 8.
2
Suppose -43 = -5*l + d - 0*d, -5*d = 3*l - 9. Let r(k) = 7*k + 190. Let z be r(-26). Calculate the greatest common factor of z and l.
8
Suppose -45*p + 212903 - 56490 = -36097. What is the greatest common factor of 186 and p?
186
Let h(m) = 58*m**2 + 2. Let i be h(-1). Let y = -155 + 195. What is the highest common factor of y and i?
20
Let d(m) = 27*m + m**3 - 29*m**2 + 20 + 23 + 16 - 11. Let s be d(28). Calculate the highest common factor of 40 and s.
20
Suppose -39*a = 44*a - 89*a + 9018. Calculate the greatest common divisor of 9 and a.
9
Let s(u) = -11*u**2 + 111*u - 168. Let i be s(6). What is the greatest common factor of i and 5440?
34
Let m be (1392/42)/((-46)/(-7406)). Calculate the greatest common factor of 464 and m.
232
Let g = -1195 - -3429. Calculate the highest common divisor of 2 and g.
2
Let p(m) = 9*m**2 + 22*m - 3. Suppose -3*z + 12 = -2*q - 0*q, 4*q = z - 14. Let k be p(q). What is the greatest common factor of k and 12?
12
Let k be (-3840)/(-9)*((-108)/60 - -3). Calculate the highest common divisor of 88 and k.
8
Suppose -z = -10, -3*j - 206 + 195 = -5*z. Let o(a) = 2*a - 3. Let y be o(2). What is the greatest common divisor of y and j?
1
Suppose -164*i + 163*i - 2214 = -z, -8851 = -4*z + 3*i. Calculate the highest common divisor of 376 and z.
47
Let g(y) = -13*y - 3. Let j be g(6). Let c = -86 - j. Let w(x) = 3*x**2 - 3. Let f be w(c). What is the highest common divisor of f and 8?
8
Suppose 4*f = 80 - 64. Let d = 445 + -267. Suppose -5*x = q - 31, -5*x = -5*q + 7 + d. Calculate the greatest common divisor of f and q.
4
Let q(p) = -2*p**2 + 15*p + 12. Let i be q(8). Suppose 5*x + 188 = 4*d, -7*d + 6*d + i*x + 36 = 0. Calculate the highest common factor of d and 286.
26
Suppose 2*n - 34 - 208 = 0. Let a(v) = v**2 - 31*v + 63. Let z be a(35). Let u = 214 - z. What is the highest common divisor of n and u?
11
Suppose -z = -5*t + z - 295, -t - 71 = 2*z. Let k = 63 + t. Suppose 0 = -o + k*u + 2*u, 2*o - 36 = -4*u. Calculate the greatest common divisor of 132 and o.
12
Let z(k) = -9*k**3 - 33*k**2 + 13*k + 26. Let s be z(-8). Let m be 4/(5 + s/(-486)). What is the highest common divisor of 18 and m?
18
Let v = 2 - 5. Let k(o) = o**3 + o**2 - 8*o - 3. Let c be k(v). Suppose p + j = 123, 4*j - 371 = -c*p - 0*j. Calculate the greatest common divisor of 11 and p.
11
Let r(x) = 71*x + 5. Let m be r(5). Suppose -49*u = -46*u - m. Calculate the highest common divisor of 30 and u.
30
Let t(b) = -4*b + 15. Let g be t(-8). Suppose -2*d + u + g = 4*u, -3 = -3*u. Let j = d - -22. What is the highest common divisor of 11 and j?
11
Let w(h) = -929*h**3 - 2*h + 6. Let i be w(-2). What is the greatest common divisor of 122 and i?
122
Suppose -5*m - 5*a = -145765, -4*m - 27*a + 25*a = -116606. Let d be m/(-20)*(-4)/5 + 0. Calculate the highest common divisor of d and 22.
22
Let c(i) = -i**3 + 31*i**2 - 48*i + 22. Let q be c(29). Suppose -9*o + 7*o = -q. What is the greatest common factor of o and 12?
12
Let q(f) = -f**3 + 43*f**2 - 11*f + 103. Let j be q(9). Calculate the highest common divisor of 14 and j.
14
Let j be (47/(-5))/((-5)/25) + (-20)/4. Calculate the highest common divisor of j and 90.
6
Suppose -4*s - 76 = -5*a, 0 = 4*a + 3*s - 6*s -