common divisor of q and 1.
1
Let a be (3 + -4)/(3/(-87)). Suppose -5*q + 2*j = 48 - 346, 4*q = 5*j + 252. What is the greatest common divisor of a and q?
29
Suppose 0 = -9*t + 10*t - 3. Let p = -13 - -23. Let g be -3*(1 - 0 - p). What is the highest common factor of g and t?
3
Suppose 35*p - 150 = 30*p. What is the greatest common factor of p and 20?
10
Suppose 0 = 3*s + 9 - 21. What is the highest common divisor of 16 and s?
4
Suppose -2*u + 4 = -2*o - 0, -u + 5*o = 2. Suppose -y + 128 = u*y. Let k be (-3)/9 - (-50)/6. What is the highest common factor of k and y?
8
Let w = 10 - 5. Let t(d) be the third derivative of d**5/60 - d**4/12 + d**2. Let j be t(w). What is the greatest common divisor of 75 and j?
15
Let o = 56 - 35. What is the greatest common factor of 105 and o?
21
Suppose 3*i = -0*i + 48. Calculate the greatest common divisor of i and 8.
8
Suppose 4*k - 20 = -4*v, -4 = 4*k - 0*k - 4*v. Suppose -k = h - 4. Suppose h*w + 24 = 6*w. What is the greatest common factor of 6 and w?
6
Let w = -17 + 39. Suppose 0*b + 110 = 2*b. Calculate the greatest common factor of w and b.
11
Suppose -d + 5*d = -2*m + 16, -5*m = -d - 18. Suppose 80 = -3*h + 7*h. What is the greatest common divisor of m and h?
4
Let l be (-1 - (-8)/(-3))/((-1)/3). What is the highest common factor of 143 and l?
11
Let c(t) = t**2 - 3*t + 408. Let z be c(0). Calculate the highest common factor of z and 51.
51
Let l be (9/3)/((-3)/4). Let z be 4/8 + (-18)/l. Suppose 5*p + 34 - 259 = 0. What is the greatest common factor of p and z?
5
Let k be 48/10*(-50)/(-15). Let j(d) = d**3 + 3*d**2 - d - 2. Let b be j(2). Calculate the highest common divisor of k and b.
16
Let w(z) = 13*z**2 + 2. Let s be w(2). What is the highest common factor of 18 and s?
18
Let i = 102 + -2. Calculate the greatest common divisor of 10 and i.
10
Let r = 121 + 391. What is the highest common factor of r and 16?
16
Let n(c) = 2*c**2 - 3*c - 5. Let f be n(5). What is the highest common factor of f and 40?
10
Suppose 4*r + 20 = 0, 5*f - 2*r + 3*r = 55. Calculate the greatest common divisor of f and 96.
12
Let w = 243 - 131. What is the highest common divisor of w and 28?
28
Suppose 102 = -3*z - 0*z - 3*b, 3*z - 4*b = -102. Let v = 48 + z. Calculate the highest common divisor of v and 28.
14
Let o = -1 - -3. Suppose -o*h + 227 = -113. What is the greatest common divisor of 17 and h?
17
Suppose -32*k + 480 = -24*k. What is the highest common divisor of 48 and k?
12
Let i = 108 + -96. What is the highest common divisor of i and 132?
12
Let i = 0 + 2. Suppose 5*j = 3 + i. Suppose -3*h + 4 = c - 8, 4*h - 17 = -c. Calculate the greatest common factor of h and j.
1
Let m = -108 - -180. What is the greatest common factor of 8 and m?
8
Let r be -2*(2 + -3)*4. What is the greatest common factor of r and 72?
8
Let u be 1*5/((-10)/(-24)). Let q(j) = j**3 - 9*j**2 - 10*j + 6. Let b be q(10). Let a be 0 - -97 - (7 - b). What is the highest common factor of a and u?
12
Let z(l) be the second derivative of 16/3*l**4 + 0 + 0*l**2 + 4*l + 1/6*l**3. Let g be z(-1). Calculate the greatest common divisor of 7 and g.
7
Let l(a) = -a**3 - 6*a**2 - 5*a. Let n be l(-5). Suppose n = -3*m + 4*m - 30. Let d = 5 - -1. What is the highest common factor of d and m?
6
Suppose 6*u + 15 = -a + u, 3*a - 19 = u. Let k(p) = p - 3. Let h be k(a). Calculate the highest common factor of h and 2.
2
Let k be -2 - (-2 + 2 + -94). What is the highest common factor of k and 23?
23
Let i = -380 + 1304. Suppose 0 = -6*r + 2*r + i. Calculate the highest common factor of 21 and r.
21
Suppose -8 = -3*m + 10. What is the highest common divisor of m and 48?
6
Suppose -64 = -4*h + l, -4*l + 1 = 5*h - 58. Calculate the highest common divisor of 195 and h.
15
Suppose -4*t = -j + 70, 0 = 5*j + t - 2*t - 350. Calculate the greatest common divisor of j and 10.
10
Suppose 5*g - 15 = -2*b, -4*g + 36 = -b + 5*b. Calculate the highest common factor of 110 and b.
10
Let j(r) = -2*r**3 - 5*r**2 + 3*r - 2. Let u be j(-5). Calculate the highest common factor of u and 12.
12
Let s(j) = j**3 - 6*j**2 + 6*j + 4. Let c = 5 - 0. Let b be s(c). Let g = b + -3. What is the greatest common divisor of 24 and g?
6
Let j(m) = 2*m**2 - 4. Let p be j(-3). Let x = p - 11. Calculate the highest common factor of 6 and x.
3
Suppose 5*t - 27 = -3*g, 0 = -3*t - 0*g - g + 13. Suppose 0 = -k + t*k - 8. What is the greatest common divisor of 8 and k?
4
Let w be (-24)/(-9)*2*33. Let p be 6/(-4)*w/(-3). Suppose -2*h = 3*h - 55. What is the greatest common divisor of p and h?
11
Let z(n) = 8*n**3 - n**2 - 3*n + 2. Let i = 17 - 11. Suppose -2*c - c + i = 0. Let f be z(c). Calculate the greatest common divisor of f and 14.
14
Let j = 0 - 6. Let k be (-622)/j + 1/3. Let d = 28 - 15. What is the highest common divisor of d and k?
13
Suppose -a + 2 - 4 = 5*d, 4*a + 2*d = 10. Suppose 9 = -3*v + 2*u, -a*v - u + 5*u = 3. Let t be 8/(-1 - (v + 2)). What is the highest common factor of 44 and t?
4
Let g(i) = -1. Let c(l) = -l**2 - 2*l - 7. Let m(f) = -c(f) + 4*g(f). Let s be m(-2). Calculate the greatest common factor of s and 27.
3
Let c(u) = u**2 - 2*u - 1. Suppose 6 = x + 3*j, -x = -0*x - 4*j + 1. Let d be c(x). What is the highest common factor of d and 22?
2
Let a be -3*(-8)/(-132) + 486/11. Calculate the highest common divisor of 4 and a.
4
Let f(y) = y**2 - y + 2. Let o be f(-4). Let m = 33 - o. Suppose 0*k + 88 = 8*k. What is the greatest common divisor of k and m?
11
Suppose 4*w = 2*r + 13 + 31, -2*w - r = -14. Suppose 5*b = -5*i + 25, 2*i - 1 = 3*b - 4*b. What is the greatest common factor of b and w?
9
Let l(n) = -10*n - 20. Let k be l(-5). Calculate the greatest common divisor of k and 30.
30
Let z(k) = k - 3*k**2 - 4 + 7*k + 2*k**2. Let a be z(6). Suppose 3*w - 162 = -0*s - 5*s, a = 2*w. What is the highest common divisor of 6 and s?
6
Let n be 25/4 + 7/(-28). Suppose 0 = 4*p - 71 - 1. Let c = p - 12. What is the greatest common factor of c and n?
6
Suppose 9*b - 4*b - 117 = -4*r, 0 = -r - 2. Suppose 0 = -4*h - 2 + 22. Calculate the greatest common factor of h and b.
5
Let u = 28 + 2. Let s(a) = 43*a**3 - a**2 + a - 1. Let x be s(1). Let d = x + 33. What is the greatest common factor of d and u?
15
Let j be 6/(-4)*2 + 5. Suppose 0 = -n + 3*g + 1, -j*g + 39 = 2*n + 3*n. What is the greatest common factor of 28 and n?
7
Suppose -7*w = -0*w - 231. What is the greatest common factor of w and 11?
11
Let k be 16/(-3)*(8 + -17). What is the greatest common factor of k and 12?
12
Let t = -54 + 26. Let k = 49 + t. What is the highest common divisor of 63 and k?
21
Suppose 3*s - 12 = -s + 5*a, 4*a = -2*s + 6. Calculate the highest common divisor of s and 12.
3
Let v = -18 - -34. What is the highest common divisor of 48 and v?
16
Let w be 1/(-3) + (-1)/(-3). Let v(q) be the first derivative of -q**4/4 + 6*q + 2. Let t be v(w). Calculate the highest common divisor of 12 and t.
6
Suppose -9*r = -12*r + 156. Calculate the greatest common divisor of 130 and r.
26
Suppose 5*n + 5 = 25. Suppose -h + 3*d = 5*d - 63, -n*h + 232 = 3*d. Suppose -3*z + 30 = -36. What is the greatest common factor of z and h?
11
Let t be -6 + (115/5 - 6). Let z = 13 - -64. Calculate the highest common factor of z and t.
11
Suppose 2*n - 4*a - 139 = 277, -5*n - 2*a + 1016 = 0. What is the greatest common divisor of 12 and n?
12
Let p be ((-33)/2)/(6/(-12)). Let s be (2/(-3))/((-12)/54). Calculate the highest common factor of p and s.
3
Let z be (48/(-4) + -4)*-1. Calculate the highest common divisor of 4 and z.
4
Let g(c) = c**3 - 9*c**2 + 5*c + 6. Let m be g(8). Let w = m + 27. What is the greatest common divisor of 63 and w?
9
Suppose -2*w = 2*v + 14, 16 = -v - 0*v - 4*w. Let i be v/(-22) - 124/(-44). What is the highest common factor of i and 33?
3
Suppose 3*w + 1 - 3 = -j, j - 9 = 4*w. Suppose 0 = -4*b - 5*q + 29, 7*q = -j*b + 4*q + 20. Let f = 35 - 32. Calculate the greatest common factor of f and b.
1
Suppose a + a - 34 = 0. Calculate the greatest common factor of a and 68.
17
Suppose -13 = -x - 1. Suppose -z + 4*k + 19 = 2*k, 3*k = -x. What is the greatest common factor of z and 44?
11
Suppose 2*z = 5*a - 19, z + a + 3 = 11. Let y(t) = -t**3 + 6*t**2 - 4*t - 3. Let w be y(5). What is the greatest common divisor of w an