Suppose -5*g - 2*p = -180, -2*g + 0*g + 5*p + 72 = 0. Let x = s + g. What is the highest common divisor of x and 45?
15
Let c(m) = 2*m**2 + 56*m + 53. Let f be c(-28). Let a be 6/9*318/4. Calculate the greatest common divisor of a and f.
53
Let s = -4 - -32. Suppose 5*q - s = 2. What is the greatest common divisor of q and 30?
6
Suppose 3*f + 4*y = 240, 3*y + 160 = 2*f + 4*y. Suppose v - f = 3*a - a, -v = 3*a - 80. What is the highest common divisor of v and 10?
10
Let j = 2636 + -2610. Calculate the highest common factor of j and 1664.
26
Let i = 122 + -94. Calculate the highest common factor of 84 and i.
28
Suppose 2*y + v = -1 + 156, -2*v - 65 = -y. Let c = -1663 + 1678. Calculate the highest common divisor of y and c.
15
Let n = 93 - 71. Let k be (-226)/(-2) + 1 + -5 + 1. What is the greatest common factor of k and n?
22
Let r be (13 - 1870/136)/(1*2/(-224)). Suppose k - 3*y - 66 = -2*k, 2*y + 2 = 0. What is the highest common divisor of r and k?
21
Suppose 6*q - 10*q + 156 = 0. Suppose 40*y - 10 = q*y. What is the greatest common divisor of 20 and y?
10
Let s(j) = -j**2 - 10*j + 3. Let k be s(-10). Suppose k*b - 11 = 3*n + 82, 159 = 4*b + 3*n. What is the greatest common factor of b and 8?
4
Let c = 1678 - 1635. Calculate the highest common factor of c and 2881.
43
Let v(a) = 21*a**2 + 4. Suppose 0*s - 35 = 7*s. Let w = s - -3. Let c be v(w). What is the greatest common factor of c and 22?
22
Let q = 469 + -448. Calculate the highest common divisor of q and 161.
7
Let m = -219 - -244. Calculate the greatest common factor of m and 2.
1
Suppose k - 3*y = 57, 5*k - 4*y = -8*y + 304. What is the greatest common divisor of k and 960?
60
Let h(s) = -28*s - 988. Let y be h(-73). What is the highest common divisor of y and 33?
33
Let k be (-14)/28 - 22506/(-12). What is the highest common divisor of 150 and k?
75
Let b(c) = c**3 + 17*c**2 + 16*c + 2. Let q be (-19 - -5) + -2 + 0. Let y be b(q). What is the highest common divisor of y and 8?
2
Let g = 1701 + -1699. Calculate the highest common factor of g and 25.
1
Let m(r) = -2*r**2 + 69*r + 62. Let k be m(34). What is the highest common factor of k and 6?
6
Let y be (-3)/9 + (-62)/(-6). Suppose 0 = v - 1 + 7. Let f = y - v. What is the highest common factor of 144 and f?
16
Suppose -3*i + 6 = -3*w, 4*i - 2 - 14 = -4*w. Suppose p - i*u = 7 + 6, 4*p - 5*u - 31 = 0. Let m = 31 - p. What is the highest common divisor of 18 and m?
9
Suppose -5 = m, -3*m + 555 = 2*s - 4*m. Calculate the greatest common factor of 50 and s.
25
Let i be (10/3)/(34/1632). Let t(x) = 65*x**3 - x. Let m be t(1). What is the greatest common factor of m and i?
32
Suppose -16*j + 385 = -11*j. Suppose 4*z = 3*n - 17, 5*n - 3*z - 43 = -0*n. Calculate the greatest common divisor of n and j.
11
Suppose 2 + 10 = 3*n. Let i(t) = -2*t**2 - t + 20. Let f be i(0). Calculate the highest common factor of f and n.
4
Suppose 0 = 2*q - 0*q - 56. Let w be 100/(-7)*q/(-8). Calculate the greatest common divisor of 125 and w.
25
Let k(c) = c**2 + 27. Let h be k(0). Let r be (-108)/(-8)*(-6)/63*-7. Let q = h + r. Calculate the highest common factor of 4 and q.
4
Let c be 6 + 22*(6 + -5). Calculate the highest common factor of c and 16.
4
Suppose -m + 188 = 3*d, -2*d + 2*m + 0*m + 112 = 0. Let i = d - 33. Let a(p) = 4*p**2 + 2*p + 2. Let b be a(-1). Calculate the highest common factor of i and b.
4
Suppose 25 = -5*l, -a - 5 = -6*a + 5*l. Let i be (-10 - -5)*a/(-10). Let j be (4/(-1))/(i/15). What is the highest common factor of 12 and j?
6
Suppose -5*u + 171 = 456. Let j = u + 67. Calculate the highest common divisor of j and 70.
10
Suppose x + 83 = 2*g + 6*x, 5*g - 3*x = 192. Calculate the greatest common factor of g and 247.
13
Let y(c) = c**3 - 4*c**2 + 8*c + 5. Let l be y(6). Suppose -15*d + 10*d + l = 0. What is the greatest common factor of 5 and d?
5
Let i(o) = -o + 38. Let r be i(-18). Suppose 4*p - r = 52. What is the greatest common factor of 135 and p?
27
Suppose -46*n - 13*n + 5900 = 0. What is the highest common factor of 12 and n?
4
Suppose -217*p = -246*p + 870. Calculate the highest common divisor of p and 1390.
10
Let c = 580 + -510. What is the greatest common factor of c and 28?
14
Suppose r = -5*l - 29, -r + 0 = -1. Let v be (-32)/l*42/4. Let y be (1/(-3))/((-5)/120). What is the greatest common factor of v and y?
8
Let k = -208 + 294. Suppose 4*z = -46 - k. Let q be z/9*(-30 + -3). What is the greatest common divisor of q and 11?
11
Let l = 1667 + -1627. What is the greatest common factor of l and 65?
5
Let m = 0 + 0. Let n(z) = -30*z - 16. Let k be n(-6). Suppose m = -4*a - k + 996. Calculate the highest common factor of a and 26.
26
Let p(d) = -d + 1. Let v = 3 - 2. Let c be p(v). Suppose -2*y + 29 + 21 = c. What is the highest common divisor of y and 10?
5
Let z be 112/12 - (-2 - (-8)/6). Suppose 3*t + 10 = k - 0*t, -t + z = k. What is the greatest common divisor of k and 35?
5
Let q(d) = -d**3 + 4*d**2 + 2*d + 3. Let g = -37 - -41. Let p be q(g). What is the highest common factor of 1 and p?
1
Let g(l) = 28*l**2 - 17*l + 16. Let r be g(1). Let x be (-1)/(-3) - 80/(-3). Calculate the highest common divisor of x and r.
27
Let b(l) = -2*l**2 + 17*l + 5. Let k = -6 + 10. Suppose -m - 28 = -k*j, -j + 20 = 3*j - 3*m. Let x be b(j). What is the greatest common divisor of 52 and x?
13
Suppose -401*k + 15984 = -392*k. What is the greatest common divisor of k and 111?
111
Let o be 624/10*(3 + -5 + 7). What is the greatest common divisor of o and 96?
24
Let h be (-112)/(-7) + (-12)/(30/(-5)). Calculate the highest common divisor of h and 3132.
18
Let f = -41 - -70. Suppose 92 - f = 3*z. Calculate the greatest common factor of z and 7.
7
Suppose 0 = -4*w - w + 300. Let v(s) = -s**3 - 6*s**2 + 5*s + 45. Let m be v(-6). Calculate the highest common factor of w and m.
15
Suppose 67 = i - 3*z, 138 = 3*i - 2*z - 77. What is the greatest common factor of i and 3431?
73
Let m be 48/10*((-216)/(-4) - -6). What is the highest common divisor of m and 36?
36
Let q(c) = -c**2 + 25*c - 58. Let h be q(6). Calculate the highest common divisor of h and 98.
14
Suppose j - 10 = -5. Suppose -7*a = -j*a - 38. Calculate the highest common factor of 57 and a.
19
Suppose 9 = 5*m - 41. Suppose -4*u + 14 = n, -n + 0 - 2 = 0. What is the greatest common divisor of m and u?
2
Let q be 144/27*306/12. What is the highest common factor of q and 680?
136
Let z = -604 - -624. Calculate the greatest common divisor of 470 and z.
10
Suppose -100*r = -95*r - 8550. Calculate the greatest common factor of 90 and r.
90
Suppose -d - 109 = -3*t + 19, -t = -4*d - 468. Let v be d/(-7) + (-36)/(-84). Calculate the highest common divisor of v and 119.
17
Suppose 3*m + 3*j = 198, -2 = -j - 0*j. Suppose 0 = 3*p - 4*r - 48, 12*r - 8*r = 0. What is the greatest common factor of p and m?
16
Let b = -1247 - -1343. What is the greatest common factor of b and 744?
24
Let v(f) = -f**3 + 15*f**2 + 6. Let p = 13 - -2. Let x be v(p). Calculate the highest common divisor of 3 and x.
3
Let p = 193 - 148. Let a = -48 - -25. Let r = 53 + a. Calculate the highest common divisor of r and p.
15
Let c(r) = r**3 + 4*r**2 + r - 8. Let s be c(-2). Let p = s + 29. Calculate the highest common divisor of p and 36.
9
Suppose 4*n + 5*t = 235, t - 65 = -3*n + 103. Let y(w) = w**2 + 5*w. Let b be y(-3). Let f be (-20)/b*3/2. What is the greatest common divisor of n and f?
5
Suppose 0 = -4*t + h + 71, 7*h - 8*h = 2*t - 31. What is the highest common divisor of 51 and t?
17
Let z = 32 - 8. Suppose 0 = 5*u - 193 + 13. What is the greatest common factor of z and u?
12
Let n be 150/30 + 10/(-2). Let g be 6/15 + (-188)/(-5). Suppose 0 = 4*c - 8, 4*w + n*c - 5*c - g = 0. What is the greatest common factor of 24 and w?
12
Suppose -2*c + 122 = -24. Suppose -p = -7*p - 150. Let v = c + p. Calculate the greatest common divisor of 32 and v.
16
Let u(a) = -a**2 + 7*a + 4. Let v be (14/4)/(4/8). Let n be u(v). Suppose n = -r + 5*p, r + 5*p = 3*r - 2. What is the greatest common divisor of 48 and r?
6
Suppose -5*n = 4*x - 114, 3*n - 55 = 3*x + 8. What is the greatest common divisor of n and 209?
11
Suppose -1442*l + 1446*l = 336. Calculate the greatest common divisor of 56 and l.
28
Suppose p - 619 - 143 = 0. Suppos