o = -3*a + 73 - 37. What is the greatest common factor of 108 and a?
12
Suppose -3*l - l = -12. Suppose j - 2*o = 8, 108 = 5*j + 3*o + l. What is the highest common factor of 3 and j?
3
Suppose -155*i + 131*i = -3312. Calculate the highest common divisor of i and 30.
6
Let o be 651/62*4/3. Suppose -o*l - 407 = -1415. Calculate the greatest common factor of l and 48.
24
Let r(x) = 2*x + 5. Let l be r(5). Let o be 1 + 0 - (-3 - -2). Suppose -o*h + 195 = 3*w, 0*w = 2*w + 10. Calculate the greatest common factor of h and l.
15
Let n(z) = -z**2 + 2*z + 1980. Let o be n(0). Suppose -8*j + o = 3*j. What is the greatest common factor of 72 and j?
36
Let u be 2 + 0 + 1*2. Let g be (u/6)/(6/9). Let r(i) = -i**3 - 4*i**2 - 4*i - 2. Let h be r(-3). Calculate the greatest common divisor of g and h.
1
Let k be 16/(-3)*30/(-4). Let n be k/60 - 74/(-6). What is the greatest common divisor of n and 65?
13
Let m = 469 + -458. Let h(j) = -6*j + 8. Let b be h(-6). Calculate the greatest common factor of b and m.
11
Suppose 0 = 7*z + 16 - 9. Let u(h) = -53*h**3 + 2*h**2 + h. Let m be u(z). What is the highest common factor of 162 and m?
54
Let w(t) = -99*t + 32. Let q be w(-5). What is the highest common divisor of q and 31?
31
Let f = -510 - -698. What is the highest common divisor of f and 94?
94
Let v(q) = q**2 + 6*q + 61. Let l be v(-9). Calculate the highest common factor of l and 836.
44
Suppose -178*y = -177*y - 17. Suppose -100 = -3*d + k, -2*d + 4*k - 2*k = -64. What is the highest common divisor of y and d?
17
Let y(k) = 93*k + 754. Let l be y(-8). Let i(c) = 22*c + 2. Let o be i(4). What is the greatest common factor of o and l?
10
Suppose -l - 2 = -q, -3*l = 5*q - 4*q - 10. Suppose -c - 15 = -3*b + l*c, 0 = 3*b - 2*c - 11. Calculate the greatest common factor of b and 1.
1
Suppose 9*r - 7*r - 294 = -4*b, 5*b + r - 375 = 0. What is the highest common factor of b and 95?
19
Let j(l) = l**2 - 4*l - 17. Let m be j(7). Let n be m/10 + 36/10. Calculate the highest common factor of 4 and n.
4
Suppose 0 = -3*b + 2*b + 1. Suppose -b = -2*t + 23. Suppose -5*l = -4*k - 40, 9*l - 10*l + 4*k = 8. What is the highest common factor of t and l?
12
Suppose 4*f - 230 = 2*o, 5*o + 60 = 2*f - 51. Suppose -4*a + f = -2*a. Let c = a - 18. What is the greatest common factor of c and 11?
11
Let u = -13 + 13. Suppose u*f - 5*f + 60 = 0. Calculate the highest common divisor of f and 4.
4
Suppose 4*v - 88 = -36. Suppose 0 = 6*y - 5*y. Suppose 172 = 3*s + 4*a - y*a, 0 = -3*s - 5*a + 176. What is the highest common divisor of v and s?
13
Suppose 7*u - 51 = 215. Suppose 54*n - 1368 = 50*n. Calculate the greatest common divisor of u and n.
38
Suppose -f = 5*i - 109, 5*f - i - 120 = 295. Calculate the highest common factor of f and 588.
84
Suppose 4*g = 216 - 60. Let z = -23 - -34. Suppose -k = -r + 32, r - g = -k - z. What is the greatest common divisor of r and 75?
15
Let g be 231/3 + -5 + 4. What is the highest common divisor of 19 and g?
19
Let g(q) = 56*q - 12. Let b(k) = -k - 3. Let j be b(-9). Let p be g(j). Calculate the greatest common divisor of p and 36.
36
Suppose 416*q - 413*q - 648 = 0. Suppose -5*y + 14 = 2*s - 176, 0 = -4*y - 2*s + 154. Calculate the highest common divisor of y and q.
36
Let l be (21 + -2)*9 - (-2 - 0). Suppose 4*v = l - 13. Calculate the highest common factor of v and 15.
5
Suppose -4*d = -20, 2*d + 73 + 77 = 2*a. Let m = 97 + -65. Let x = m - 16. Calculate the greatest common factor of x and a.
16
Suppose -3*p + 6*p + 4*y - 33 = 0, 3*p - 24 = -y. Let b = -45 - -168. Let k = b - 67. Calculate the highest common divisor of k and p.
7
Let w(a) be the third derivative of a**5/15 + a**4/24 - a**3 + 19*a**2. Let x be w(5). What is the highest common divisor of x and 9?
9
Suppose 204*n - 201*n - 162 = 0. Suppose -n = -o - 4*i, 2*o - 4*o - 3*i = -103. Calculate the greatest common factor of o and 125.
25
Let l(q) = q**2 + q - 6. Suppose 2*w = 3*w + 6. Let v be l(w). Suppose 0 = s - o - 36, 0 = 2*s - o + 3*o - 72. Calculate the highest common factor of v and s.
12
Let g be (102/8 + -11)/(2/144). Calculate the highest common factor of g and 56.
14
Suppose 0 = -0*z + 4*z - 24. Let b(y) = 2*y**3 + 3*y**2 - 37*y - 7. Let a be b(-5). What is the greatest common factor of a and z?
3
Let i be (20/40)/(1*(-2)/(-48)). Suppose 50 = 17*k - i*k. What is the greatest common factor of k and 50?
10
Let k = -411 + 211. Let f be 0 - ((-10)/(-35) - k/(-14)). What is the greatest common factor of f and 21?
7
Let k = 1676 + -1125. What is the greatest common divisor of 29 and k?
29
Suppose r - 91 = -b, -6*b - 463 = -5*r - 9*b. Calculate the greatest common factor of 5 and r.
5
Let m be -2*(-3 + 1 + 24/16). Let z be 4 - 131*(m + -2). What is the highest common divisor of 45 and z?
45
Suppose 156*b - 1836 = 122*b. Let g be -2*(-1)/2 + 5. Calculate the greatest common factor of g and b.
6
Let y be (24/14)/((-8)/(-56)). Suppose f - 50 = -y. Let b = 63 - f. Calculate the greatest common factor of b and 5.
5
Let x = -1207 + 1218. Suppose 0*k = -5*k + 25. Let b(h) = 2*h**2 + 5. Let i be b(k). What is the greatest common factor of i and x?
11
Suppose -l + 8 = 2. Let r(a) = a**3 - 6*a**2 + 5*a - 4. Let z be r(l). Calculate the greatest common divisor of z and 65.
13
Suppose 2*b + 12 = -i + 6*i, -5 = 5*b. Suppose i*n - 21 = 5*x, 111 - 15 = 5*n + 2*x. Calculate the greatest common divisor of n and 9.
9
Let a be -1*(2 + (-9)/(-3)*-1). Let g be 320/60*(4 - a). Let p = -14 + 38. Calculate the greatest common factor of g and p.
8
Let w = 102 + -78. What is the greatest common divisor of 12 and w?
12
Let w be (-9063)/(-135) - 4*2/60. What is the highest common divisor of w and 134?
67
Suppose u - 7*g - 12 = -3*g, 2*g - 22 = -3*u. Suppose -w - 27*b - 7 = -31*b, 3*w + 3 = 3*b. Calculate the highest common divisor of u and w.
1
Suppose -6*s + 3 = -99. Let d(z) = 12*z**3 - 2*z**2 - 3*z + 3. Let p be 6/(-9)*(-2 + -1). Let b be d(p). What is the highest common divisor of b and s?
17
Suppose 2*a - 3 - 5 = 0. Suppose -4*l = a*p - p - 78, 104 = 4*p - 5*l. Let s = 4 + 9. Calculate the highest common factor of p and s.
13
Let u be ((-1)/(-4))/((-4)/12)*-296. Let y be u/(-42) - -5 - (-172)/14. What is the greatest common divisor of y and 30?
6
Let y(u) = 6*u**2 - 55*u - 37. Let c be y(11). What is the highest common factor of c and 420?
84
Let g(x) = x**3 + 5*x**2 - 7*x - 4. Let f be g(-6). Suppose -2*i + 72 = f*i. What is the highest common factor of i and 90?
18
Suppose -2*q = -0*g + 2*g - 30, -3*g = -12. Let w = q - -69. Calculate the highest common divisor of 32 and w.
16
Let w(o) = -12*o + 40. Let r be w(3). What is the greatest common factor of 284 and r?
4
Suppose -m = -4*m + 195. Suppose a - m = -4*a. Let t(j) = 2*j**2 + 14*j - 79. Let z be t(7). What is the greatest common factor of z and a?
13
Let q(j) = 15*j**2 + 2*j - 15. Let r(f) = 44*f**2 + 7*f - 43. Let z(g) = -11*q(g) + 4*r(g). Let w be z(1). What is the highest common factor of 30 and w?
10
Let k(a) = -16 + a - 1 + 2*a. Let x be k(8). Suppose -g + 12 + 2 = 0. Calculate the highest common factor of x and g.
7
Let u = -5 - -5. Let t be ((0 - 1) + u)*3. Let b be 21 + (-2 - t) - -2. What is the greatest common factor of 6 and b?
6
Suppose -q - 3 = -8*u + 5*u, 2*q = -2*u + 10. Suppose q*v - n = 2*v + 5, 5*n + 7 = -4*v. What is the greatest common divisor of 2 and v?
2
Let t = 55 + 134. Let o = t + 42. Let u = -18 - -39. Calculate the highest common factor of u and o.
21
Let d be ((-133)/21)/((-1)/102). Calculate the greatest common divisor of d and 34.
34
Let y be 1303 - (-1 - (1 + 6)). Calculate the highest common factor of y and 57.
57
Let h be 25*(-7)/(-35) + 7 + 1. Let d(z) = -63*z + 2. Let g be d(-1). What is the greatest common divisor of g and h?
13
Let f(x) = x**2 - 2*x + 6. Let a be (-2 - -4) + (-27 - -3). Let s = a + 26. Let j be f(s). Calculate the highest common factor of 56 and j.
14
Let d = -21 - -21. Suppose d*r + r - 28 = 0. Let o be 1*56 + 0/(-1). Calculate the greatest common divisor of r and o.
28
Let w(n) = 2*n**2 + 3*n - 13. Let f be w(3). Calculate the greatest common divisor of 154 and f.
14
Let g(q) be the second derivative of 4*q + 0 + 4/3*q**3 + 2*q**2. Let d be g(2). What is the greatest common divisor of d and 