*k - 2*k - 32. Let t(n) = -n**2 + 6*n - 4. Let o be t(5). Calculate the greatest common factor of k and o.
1
Suppose 4*n - 3*g = 88, -g + 82 = 4*n + 10. What is the highest common divisor of n and 57?
19
Suppose 5*w - q = -17 + 38, 25 = 5*w - 5*q. Suppose -w*o - o = -175. What is the highest common factor of 14 and o?
7
Let y(d) = d**3 - 4*d**2 + 4*d - 5. Let k be y(5). Let h = k + -23. Calculate the greatest common factor of h and 187.
17
Let s(y) = y**2 - 4*y + 4. Let q be s(5). Let t(o) = 4*o**2 - 1. Let f be t(5). Calculate the greatest common divisor of q and f.
9
Suppose -4*g = -41 - 15. Let v be 122/18 - g/(-63). Calculate the highest common divisor of 77 and v.
7
Let i be (6 + -7)/((-1)/5). Calculate the highest common divisor of 55 and i.
5
Let n = -32 - -43. Calculate the highest common divisor of 11 and n.
11
Suppose -3*a + a - y = -6, 0 = 2*a - y - 2. Suppose -a*z - 3*z + 450 = 0. Let u(b) = -5*b + 3. Let t be u(-3). Calculate the greatest common factor of t and z.
18
Let z = -50 - -66. Calculate the greatest common divisor of 112 and z.
16
Suppose -x + 3*x - 270 = 0. Let b be 8/10 + (-262)/(-10)*1. Calculate the highest common divisor of x and b.
27
Let l be -90*(-9)/36*88/6. What is the highest common divisor of l and 30?
30
Let i be ((-24)/10)/(6/30). Let t be (-6)/((i/3)/28). Calculate the highest common factor of 28 and t.
14
Let x(c) = -c**2 + 9*c - 4. Let k be 2/(-6) + (-30)/(-9). Let y be 66/10 + k/(-5). Let n be x(y). What is the greatest common divisor of n and 70?
14
Let s = 1009 - 714. Let n = s - 167. Let f be (n/6)/4*3. What is the highest common divisor of 80 and f?
16
Suppose 2*p + 12 = 4*t, -6*t + t = 4*p - 41. Suppose 4*s = t*k - 26, -4 = 3*k - k. Let z be (-182)/s + (-6)/27. What is the highest common factor of z and 220?
20
Let t(k) = -5*k + 10. Let h be t(-6). What is the highest common factor of h and 8?
8
Let n be (-158)/(-22) + (-8)/44. Suppose -n*f + 48 = -3*f. Calculate the greatest common factor of f and 12.
12
Let v(q) = -15*q - 42. Let r be v(-4). What is the highest common factor of r and 18?
18
Suppose -a + 2*c - 74 = -3*a, 5*c = 4*a - 157. Calculate the highest common divisor of a and 57.
19
Let r(d) = -d - 7. Let l be r(-7). Suppose l*u - 280 = -4*u. Calculate the greatest common divisor of u and 14.
14
Let x(p) = p + 12. Let a be x(6). Let q be 56/(-12)*18/(-7). What is the highest common factor of a and q?
6
Let m(k) = k**2 + 2*k + 2 + 6*k - 5*k. Let z be m(-4). Let a = 12 - 6. What is the highest common divisor of z and a?
6
Let v be (-238)/(-8) - (-1 + (-14)/(-8)). What is the highest common divisor of v and 58?
29
Let x(s) = -s**3 + s**2 + 2*s - 1. Let l be x(2). Let g(z) = -4*z**3 + 2*z**2 + z. Let p be g(l). What is the highest common factor of 5 and p?
5
Let f be (-4 - -3)/((-1)/2). Suppose f*p - 20 = -3*p. Suppose 34 = p*d - 10. What is the highest common factor of d and 88?
11
Suppose 0*s = s - 10. Let u be 15/(((-4)/2)/(-12)). Calculate the highest common factor of u and s.
10
Suppose -3*q - 16 = -5*q. What is the greatest common factor of 4 and q?
4
Let y(p) = 8*p - 9. Let d be y(4). Calculate the greatest common divisor of d and 253.
23
Let r(n) = 2 + 3*n - n**2 - 1 - 9*n + 2. Let p be r(-5). Calculate the greatest common divisor of 24 and p.
8
Suppose 0 = 2*f - 2 - 4. Suppose -x = 3*x - 12. What is the highest common factor of x and f?
3
Suppose -2*q - 3*q + 220 = 0. Let d = -10 + 8. Let l(g) = -33*g. Let x be l(d). Calculate the highest common divisor of q and x.
22
Suppose -5*h + 0 = -4*a - 15, -2*h - 2*a + 6 = 0. Let v = 39 + -18. Calculate the greatest common factor of h and v.
3
Let v be 4/((-4)/7)*-5. Calculate the highest common factor of 14 and v.
7
Let u = 70 - 66. Calculate the greatest common factor of 20 and u.
4
Let n be 1/(-2) + 34/4. Let j(l) = -l**2 + 7*l + 1. Let o be j(8). Let w(q) = q**2 + 7. Let u be w(o). Calculate the highest common divisor of n and u.
8
Suppose -i - 2*x = -12, -4*x - 12 = -2*i - 2*x. Calculate the greatest common divisor of i and 8.
8
Suppose 8 = 3*i - 202. Calculate the greatest common factor of 14 and i.
14
Let v(y) = 5*y + 1. Let l be v(1). Let b be 1*2*8/8. Suppose -5*a + 4*f + 18 = 0, a + b*a + 2*f - 24 = 0. Calculate the highest common factor of l and a.
6
Let m(o) = -o**3 - 4*o**2 + 4*o - 3. Let s be m(-5). Let c be (-4)/(-18) + (-473)/(-99). Calculate the highest common divisor of c and s.
1
Let c be 3*(-1 - (-8)/3). Let q(h) = -h**2 + 9*h - 15. Let r be q(6). Suppose 16 = r*p - c. What is the greatest common divisor of 35 and p?
7
Let j(a) = a**3 - 6*a**2 - 5*a + 9. Let b be j(7). Let g be ((-276)/1)/((-9)/6). Calculate the highest common divisor of g and b.
23
Let o = 182 - 122. What is the highest common divisor of 15 and o?
15
Let s be -56*(-126)/12*1/6. What is the highest common divisor of 56 and s?
14
Let j be (-1)/(-1*(-3)/(-45)). Let x be 4/6*(0 + j). What is the highest common divisor of x and 50?
10
Let b = -501 - -351. Let v be 4/(-5)*b/4. What is the highest common divisor of v and 6?
6
Suppose 3*m = t + 392, 2*m = -m - 3*t + 408. What is the greatest common divisor of 33 and m?
33
Suppose 4*x + 9 + 5 = l, 2*x - 2 = -l. Let s = l + -4. Suppose -s*j = -u - u, 4*u - 8 = 0. What is the greatest common divisor of 8 and j?
2
Suppose 0 = 2*p + 5*q - 26, -27 = -4*p + 3*q - 1. Let j be (-17 - -17)/(-1 - 0). Let v = p - j. Calculate the highest common factor of 4 and v.
4
Suppose -5*m - 3*w - 107 = 0, 2*w = 5*m + 67 + 20. Let s = m - -26. Calculate the greatest common divisor of 49 and s.
7
Let x(f) = 2*f - 6. Let b be x(14). Suppose b = w - 42. What is the greatest common factor of w and 8?
8
Suppose -3 = b - 7. Let p be 97/3 - 2/6. What is the greatest common factor of b and p?
4
Let z(s) = -3*s**3 - 9*s**2 - 5*s - 2. Let t be z(-4). What is the highest common factor of t and 6?
6
Suppose -7*q - q + 952 = 0. Calculate the greatest common divisor of 34 and q.
17
Suppose -2*i + 4 = -2. Calculate the greatest common divisor of 21 and i.
3
Suppose 0 = -b - 3*b + 20, 5*b + 16 = -x. Let o = x - -17. Let j = o + 57. What is the highest common factor of 22 and j?
11
Suppose -39 = -2*g + 53. What is the highest common divisor of g and 69?
23
Let j be -2 - (0 - -31 - -2). Let t be 1495/j - (-2)/(-7). Let w = 29 - t. Calculate the greatest common factor of w and 9.
9
Let u(z) = -12*z + 82. Let y be u(6). Calculate the greatest common divisor of 170 and y.
10
Suppose 6*j - 3*j = 198. Let u be 13 + (-3 - (1 + -3)). Let c be (u/(-9))/((-2)/9). Calculate the highest common divisor of j and c.
6
Let h(o) = o**3 + 3*o - 3. Let p be h(2). Let x(u) = p*u + 3 - 3 + 5*u. Let a be x(3). What is the highest common divisor of a and 12?
12
Suppose -f + 6*f = -2*r + 55, 5*r - 123 = 2*f. What is the greatest common divisor of 10 and r?
5
Let p(u) = -u - 7. Let g be p(0). Let q(w) = w**2 + 4*w - 4. Let l be q(g). Let d = 27 - l. Calculate the greatest common divisor of 110 and d.
10
Let p(o) = o**2 + o + 2. Let u be p(3). Suppose -18 + 76 = f + 2*x, -10 = -5*x. Suppose 2*d = f + 86. What is the greatest common divisor of d and u?
14
Suppose 0*g - 56 = -4*g. Suppose -6*m = -4*m - p + 6, 3*m + 4*p = 13. Let z be m/(-3) - 167/(-3). Calculate the highest common factor of g and z.
14
Let y = 52 + -20. Suppose -f = -3*f + y. What is the greatest common factor of 24 and f?
8
Suppose 5*t + 3*b = 21, -4*t + 7*b - 2*b + 39 = 0. What is the greatest common divisor of t and 8?
2
Let l be 22 - (1 + (-2)/(-2)). Suppose h = -4, -l = -2*d + 5*h + 22. Calculate the highest common factor of d and 55.
11
Let o be ((-3)/(-4))/((-1)/(-8)). Let k(g) = 5*g + 2. Let j be k(2). Calculate the highest common divisor of o and j.
6
Suppose -5*k + 3*k + 2 = 0. Let l(d) be the second derivative of 5*d**4/12 - 2*d. Let w be l(k). What is the highest common factor of w and 10?
5
Let p be 6*((-3)/(-6) - 0). Suppose -p*h + 12 = h. Suppose 5*q = -10, 2*d - h*q - 48 = -q. What is the highest common factor of 11 and d?
11
Let c(k) = -2*k - 5. Suppose -1 = -p + 2. Suppose -22 = p*f - 10. Let x be c(f). What is the highest common factor of x and 1?
1
Suppose a = 19 - 13. Calculate the highest common factor of a and 9.
3
Let m be 24/2*(495/20)/11. What is the greatest common factor of 297 and m?