4/88. Suppose 0*k + g - h = -4*k, -2*k + g = -a. What is the highest common divisor of k and 56?
14
Let z = -2 - -2. Suppose -3*s + 2*b + z*b = -9, 0 = -s + 3*b + 10. Let n(c) = c**3 + 2*c - 1. Let h be n(s). Calculate the greatest common factor of 16 and h.
2
Let z = 29 - -24. Suppose 0 = l + 3, 0 = -5*i + l - 5*l + z. What is the greatest common divisor of 26 and i?
13
Let g(t) be the second derivative of t**3/6 - t**2/2 + t. Let c be g(6). Suppose -10 - 55 = -c*b. What is the greatest common factor of b and 91?
13
Let j = 0 - -3. Suppose 9 = 3*z, -z = -w - 3*z + 15. What is the greatest common factor of w and j?
3
Let h(c) = 3*c - 6*c + c**3 + 5*c**2 + 4*c - 4. Let a be h(-4). Calculate the greatest common factor of a and 2.
2
Let n(r) = -r - 6. Let k be n(-7). What is the greatest common divisor of k and 1?
1
Let d be (-5 + 1)/((-7)/140). Calculate the greatest common factor of 10 and d.
10
Let q = 151 + -81. Let i be ((-108)/10)/(1/(-5)). Suppose 4*y - 58 - i = 0. Calculate the greatest common divisor of q and y.
14
Suppose 0 = -0*r - 4*r + 12. Suppose 5*h + o + r*o = 420, 4*h = 3*o + 305. Suppose -5*j + j + 80 = 0. Calculate the greatest common factor of j and h.
20
Suppose 9 = c + 2*c. Suppose -3*g + 2 = c*z + 11, -3*g = z - 1. Calculate the highest common divisor of 2 and g.
2
Let p = -14 + 24. Let n be (-24)/p*20/(-6). Let f = -8 - -24. What is the greatest common factor of f and n?
8
Let v be (-2)/(11/13 + -1). Let x be (v/(-2))/((-1)/2). Let z = 185 + -120. Calculate the highest common divisor of z and x.
13
Suppose 6*d - 60 = d. Let s = d + -7. Suppose -37 = -s*z - 2*n, -1 = -z - 4*n - 8. Calculate the greatest common divisor of z and 99.
9
Let u be (3 + -1)/((-10)/(-25)). Suppose -5*z + 80 = u*b, 3*z + 4*b = 2*b + 50. Calculate the greatest common factor of z and 198.
18
Let i(j) = -j**3 - 12*j**2 + 12*j - 12. Let n be i(-13). Calculate the greatest common factor of 2 and n.
1
Let h(t) = t**3 - 5*t**2 - 7*t + 7. Let y = 3 - -3. Let z be h(y). Calculate the greatest common factor of 4 and z.
1
Suppose 0 = -5*r - 6 - 14. Let p = r + 8. Suppose -2*g = -5*l - 28, -5*g = 2*l - 0*l - 12. Calculate the greatest common factor of p and g.
4
Let m(s) = -5*s - 5. Let q(l) = 4*l + 4. Let h(k) = 4*m(k) + 6*q(k). Let c be h(6). What is the greatest common factor of 42 and c?
14
Suppose 5*a = -2*x + 155, x + a - 2 - 68 = 0. Let n be (26/(-6))/((-1)/3). Calculate the highest common divisor of x and n.
13
Let t = 84 + -60. What is the highest common factor of 168 and t?
24
Let q(u) = -2 + 1 + 4*u - 6*u - 1. Let l be q(-3). What is the highest common factor of 12 and l?
4
Let d be 2/(-7) - 23/(-7). Suppose 2*u + 3*u - 5 = 0. Calculate the highest common factor of d and u.
1
Let d be (-11595)/(-55) - 4/(-22). Suppose 16 = -3*i + d. What is the highest common factor of i and 13?
13
Suppose -1613 = -5*s - 63. Suppose -s = -5*z - 2*l, 3*l + 55 - 365 = -5*z. Let p = 58 + z. Calculate the highest common divisor of p and 15.
15
Suppose 3*w - 249 - 241 = 2*q, -3*w - 5*q = -497. Calculate the highest common factor of 41 and w.
41
Let p = -100 - -224. What is the greatest common factor of p and 31?
31
Suppose -44 = -5*t + 46. What is the greatest common divisor of t and 144?
18
Suppose 5*l - 3*r + 9 = 0, l + r - 4 = -1. Let q be 2 + (102 - l - -1). What is the greatest common factor of q and 21?
21
Let y be 2*(862/12 + 2/(-6)). Calculate the greatest common factor of 13 and y.
13
Let u = -4 + 7. Let x(h) = h**2 + 7*h. Let n be x(-6). Let s be (n/(-4))/(1/14). Calculate the highest common divisor of s and u.
3
Suppose 0*g = g - 1. What is the greatest common factor of 3 and g?
1
Suppose 0 = -7*t - 58 + 401. What is the highest common divisor of t and 7?
7
Suppose 3*d = 3*l + 8*d - 1127, -2*d = l - 376. Calculate the highest common factor of 34 and l.
34
Suppose 2*k = -0*k + 4*a + 38, -k = 2*a - 3. What is the greatest common factor of k and 121?
11
Let v be (34*-1 - 1)/(-1). What is the highest common factor of 35 and v?
35
Suppose 0 = 2*x - 2. Calculate the highest common divisor of x and 1.
1
Suppose -z + 2 = -2. Suppose -7 - 1 = -z*i, -5*i = -3*w + 23. Suppose -8*v + 500 = -116. What is the highest common divisor of v and w?
11
Let t(p) = -p**2 + 9*p - 5. Suppose 0*n = 2*n - 14. Let f be t(n). What is the highest common divisor of f and 9?
9
Suppose -4*z - 38 = -b, z - 2 = 2*z. What is the highest common factor of 270 and b?
30
Let t be 4/14 - 188/(-28). Suppose 3*z = -4*g + 540, 2*g = 5*z + t*g - 905. What is the greatest common divisor of z and 23?
23
Let t(h) = h**2 - 7*h + 9. Let b be t(6). Suppose b*p - 5*p = -8. What is the highest common divisor of 8 and p?
4
Let l be -6*2/(-8)*2. Suppose 6*n - 2*n + 16 = 0. Let s be (-11)/n + 4/16. What is the highest common factor of s and l?
3
Let u be (-1)/(-6) + 35/6. Calculate the highest common factor of 30 and u.
6
Let l = -42 - -178. What is the greatest common factor of l and 17?
17
Let g = 1 + 39. Calculate the highest common factor of g and 10.
10
Suppose -2*m - m + 45 = 0. Let o(h) = h**2 + 6*h - 7. Let v be o(-7). Let d = v - -10. Calculate the greatest common factor of d and m.
5
Let o(i) = 3*i - 8. Let p be o(-6). Let x = -21 - p. What is the highest common divisor of 55 and x?
5
Let t = 1 + 71. Suppose 0 = 2*c - 4*k - 25 - 7, 0 = -2*c - 4*k. What is the highest common factor of c and t?
8
Let y(t) = -3*t**3 - 3*t**2 - 3*t. Let r = 0 + 2. Suppose 0*x - 4*p = r*x + 10, -3*p = -5*x - 12. Let u be y(x). What is the greatest common factor of u and 9?
9
Let q be (-10)/((-20)/8*(-8)/(-10)). What is the highest common divisor of 15 and q?
5
Let g be (-4 + 3)*(1 - 1). Let a = 2 + g. Suppose 182 = a*r + 5*o, -2*r - 386 = -6*r + o. Calculate the highest common factor of 12 and r.
12
Suppose -59 = -5*n + 4*z, -z + 6*z + 55 = 5*n. Let i(h) = 4 - 9*h - 5*h**2 - h**3 - 2*h**2 - 7. Let q be i(-6). What is the highest common divisor of q and n?
15
Suppose -28*q - 16 = -30*q. What is the greatest common divisor of 40 and q?
8
Suppose 0 = 5*q - 0 - 5. Let m be -2 + (3 - -3)*q. Calculate the highest common divisor of m and 20.
4
Let l(t) = -t**2 + 7*t + 7. Let k be l(6). Suppose -s = -3*z - 211 + 62, -4*z + 707 = 5*s. Calculate the greatest common divisor of k and s.
13
Let d = 276 + -168. Calculate the greatest common divisor of d and 36.
36
Let h = -36 - -80. Let c be 4/(-22) - (-1856)/h. Suppose -36 = -5*r + 34. Calculate the greatest common divisor of c and r.
14
Let z(m) = -13*m + 3. Let n be z(3). Suppose -2*d = -y + 66, -4*d = -7*d. Let p = y + n. Calculate the greatest common divisor of p and 20.
10
Let w(y) be the second derivative of y**4/6 + y**3/3 - y**2/2 - y. Let u = -31 - -29. Let f be w(u). What is the highest common factor of 1 and f?
1
Let t be (-14 - 1)/((-87)/87). Suppose 4*p + 6 = -2. Let k(g) = 3*g**2 + 3*g. Let d be k(p). What is the greatest common divisor of t and d?
3
Suppose 3*w - 17 - 13 = 0. Calculate the highest common divisor of 70 and w.
10
Let f be 4/(-6) + (-2)/(-3). Suppose f*q = 5*q - 585. Calculate the highest common divisor of 13 and q.
13
Let l be (-8)/(-3)*18/12. Let j(n) = 4*n. Let g be j(l). Calculate the greatest common divisor of g and 32.
16
Suppose 4*t = 2*t. Suppose -5*i + 39 + 21 = t. What is the greatest common divisor of i and 108?
12
Suppose -2*y + 12 = 3*s, -4*s + 30 = -y + 6*y. Let o = -3 - -1. Let u = 0 - o. Calculate the greatest common factor of u and y.
2
Let a = 6 + 54. What is the greatest common factor of 24 and a?
12
Let d(j) = -j - 4. Let x be d(-6). Suppose x*v = -a - 32 - 9, -2*a - 16 = v. Let l = v - -132. What is the greatest common divisor of l and 10?
10
Suppose 0 = 4*k - 73 + 1. Suppose r - k = -2*r. Calculate the greatest common factor of 48 and r.
6
Let w(g) = 1 - 5 + 1 + g + 1. Let t be w(7). What is the highest common divisor of t and 1?
1
Suppose -3*h - 325 = -8*h. What is the greatest common factor of h and 52?
13
Let b = -55 + 71. What is the highest common divisor of b and 16?
16
Let f = -145 + 361. Calculate the greatest common divisor of f and 24.
24
Suppose 4*q - 2*q - u = 12, 3*u + 12 = 0. Let x(k) = 4 - 4*k**2 - 2 - 6 + 3*k**3 + k. Let z be x(3). What is the highest common factor of z and q?
4
Suppose -2*q = -j + q + 13, q + 36 = 2*j