3 + -24. Let r(q) = -247*q**3 + 3*q**2 + q - 1. Let y be r(s). Calculate the highest common divisor of y and 31.
31
Let p = 1167 - 1151. Suppose -4*c - 6 = -2. Let w be 45 - c - (-6)/3. Calculate the highest common divisor of w and p.
16
Suppose y + 3 = 0, 3 = -4*h + 4*y + 27. Suppose -5*r + 56 = 4*d, -h = 4*r - 4*d - 55. Let q = -63 + 75. Calculate the greatest common factor of r and q.
12
Suppose y = 2*s - 5*s - 5, 3*y + 2*s - 6 = 0. Let b be (-1 + 3)/(2/y). What is the greatest common factor of 16 and b?
4
Suppose -79*r + 1924 = -5*r. Let z be 994/(-22) - 2/(-11). Let h = 7 - z. Calculate the highest common divisor of h and r.
26
Let p(i) = 4*i + 260. Let m be p(43). Calculate the greatest common divisor of m and 135.
27
Let k = 7 + -7. Suppose -93 = -2*w - 3*h, k = -w - 5*h - 7 + 71. Suppose w = 5*s - 3*n, -45 = -5*s + 4*n - 3. Calculate the highest common factor of s and 30.
6
Suppose 7 - 43 = -v. Let x be (-6)/(-2) - (-20 - (3 - 22)). What is the highest common divisor of x and v?
4
Suppose -2*p + 5 = -p. Suppose -5*f - p*x = -10, -5*x + 4*x - 6 = -3*f. Let w be -2 + (-2 - -7 - f). Calculate the highest common divisor of w and 1.
1
Let r(p) = 8*p**2 + 39*p - 1. Let k be r(-5). What is the greatest common factor of 32 and k?
4
Suppose 3*o - 47 + 10 = 5*z, 3*o - 73 = -4*z. What is the greatest common divisor of 646 and o?
19
Suppose -3*s + 13 = -131. Calculate the highest common divisor of s and 84.
12
Let u = 88 + -83. Calculate the highest common factor of u and 10.
5
Suppose 0 = 2*c - 2*d + 6, c - 4*d = -1 - 17. Let t = c + 174. What is the greatest common divisor of 22 and t?
22
Suppose -2*f = -5*a - 17, 0*f + 3*a - 21 = -4*f. Calculate the highest common divisor of f and 186.
6
Let p(m) be the first derivative of m**2/2 + 4*m - 8. Let l be p(5). Calculate the highest common divisor of 9 and l.
9
Let w be 7/(4/(16/(-4))). Let b(y) = -y**2 - 10*y + 23. Let v be b(w). Calculate the greatest common divisor of 11 and v.
11
Let m = -26 - -28. What is the greatest common factor of 7 and m?
1
Suppose 5*p - 4*y = 91 - 27, -3*y + 28 = p. Calculate the greatest common divisor of 2 and p.
2
Let a(d) = -395*d - 2117. Let f be a(-6). Suppose o + 19 = 42. Calculate the greatest common factor of f and o.
23
Suppose 13 + 17 = b + 5*a, -3*b - a + 34 = 0. What is the highest common divisor of b and 10?
10
Suppose 112 = 2*g - 3*b + 25, -g + 71 = 4*b. Calculate the highest common divisor of g and 17.
17
Suppose -29*z + 25*z + 200 = 0. Let d = 74 - z. Let u(t) = 17*t - 3. Let q be u(3). Calculate the greatest common divisor of d and q.
24
Suppose 3*t - 7*t = 0. Let z be (-21)/(-9)*(t - -6). Calculate the highest common factor of z and 70.
14
Let q(w) = -2*w + 25. Let i be q(5). Let k be 2 - (-1665)/25 - (-6)/i. What is the highest common factor of k and 23?
23
Let f(d) = -d**2 - 5*d + 7. Let t be f(-6). Let v be (-9)/(-6)*2/1 - -13. Calculate the greatest common divisor of v and t.
1
Let o = 6 - -3. Suppose o = 4*r - 15. Calculate the highest common divisor of 54 and r.
6
Suppose 25*w - 3*w = 2508. Calculate the highest common factor of 380 and w.
38
Let n be ((-9)/(-2))/(11/22). Calculate the greatest common factor of n and 387.
9
Let h be -84*(-19)/((-1064)/(-192)). What is the greatest common factor of h and 12?
12
Suppose -3*a - 3*m + 33 = 0, -15*a - 42 = -17*a + 2*m. Let n(y) = 3*y**2 + 2*y. Let r be n(2). Calculate the greatest common divisor of a and r.
16
Let h(n) = 63*n - 1062. Let k be h(17). Calculate the greatest common divisor of k and 801.
9
Suppose r - 1 = 3. Let o be (-21)/(-3) + r + -5. What is the greatest common divisor of o and 24?
6
Suppose 3*k - k - 88 = 0. Suppose -5676 = -163*z - 9*z. What is the highest common factor of k and z?
11
Suppose 0 = g + g + 4*k - 8, -3*g = k - 7. Suppose c - 4 = -y - 3, g*c = -4. What is the greatest common factor of y and 4?
1
Suppose -11*l + 3*l = 544. Let y = l - -180. Calculate the highest common divisor of 84 and y.
28
Suppose -3*i + 20 + 10 = 0. Let f(l) = l**2 - 3*l + 2. Let r be f(-3). Let b = 30 - r. What is the greatest common factor of i and b?
10
Let v = -929 - -1101. What is the highest common factor of v and 258?
86
Suppose -75 = -4*p - 27. Let g = 37 - 35. Suppose -g*s - 2*s = -p. What is the greatest common divisor of s and 21?
3
Let s = 462 + -424. What is the greatest common factor of s and 475?
19
Suppose 2513 - 340 = 41*j. What is the greatest common factor of j and 689?
53
Let r = 8 + -7. Suppose -f + r = 8. Let j = f + 12. What is the highest common divisor of 35 and j?
5
Suppose -3*x + 117 = 10*x. Calculate the highest common divisor of x and 1.
1
Let n(c) = -9*c + 15. Let h be n(0). Calculate the greatest common divisor of 75 and h.
15
Suppose -g + 0*g - 66 = -h, 0 = g + 3*h + 78. Let b = -53 - g. What is the highest common divisor of 56 and b?
8
Let x be ((-84)/49)/(12/(-56)). Let t(r) = 3*r**3 - 2*r**2 - 2*r. Let w be t(2). Calculate the greatest common divisor of w and x.
4
Suppose 5 = -2*x - 5. Let o(k) = 6*k**2 - 12*k - 45. Let u be o(x). Calculate the greatest common divisor of 110 and u.
55
Let s be (-24)/9*(1 + 5 + -9). Calculate the highest common factor of 40 and s.
8
Let j(c) = -3*c + 234. Let k be j(-22). Calculate the highest common factor of k and 6.
6
Suppose -37*w - 80 = -41*w. Calculate the highest common divisor of 8 and w.
4
Let w = -43 - -48. Suppose -w*i = 3*o - 31, -3*i - 33 = -3*o - 6*i. Calculate the greatest common factor of o and 36.
12
Suppose -1952 = -3*q + i + 3*i, -i - 5 = 0. What is the highest common divisor of q and 84?
28
Let m = -98 + 147. Calculate the highest common divisor of 7 and m.
7
Let u(z) = 7*z**2 + 11*z + 4. Let g be u(-4). Let v(q) = -3 + 0*q - q + 4*q. Let h be v(4). Calculate the highest common divisor of h and g.
9
Suppose 4*z = 14 + 10. Suppose -4*i + 36 = 5*g - 2*g, -3*g + 6 = -i. Calculate the greatest common divisor of z and i.
6
Let k(j) = 2*j**2 + 1. Let x be k(-1). Suppose -n = u - 87, -x*u + 441 = 2*u - n. Calculate the highest common divisor of u and 8.
8
Suppose -h = 4*s - 101, 3 = 24*h - 21*h. What is the highest common divisor of 625 and s?
25
Suppose 4*m - 41 = 91. Suppose -p + v + m = 13, -p + 4*v + 14 = 0. Calculate the greatest common factor of 11 and p.
11
Let w(k) = -2*k**2 - 31*k - 28. Let c be w(-12). What is the highest common factor of c and 616?
56
Let g = -786 + 824. Calculate the highest common divisor of g and 1007.
19
Let k(c) = c**2 - 2. Let f be k(2). Suppose 2*p + f*p - 16 = 0. Suppose -68 = -4*u - i, 7*u = p*u + 5*i + 74. What is the greatest common factor of u and 36?
18
Let a(s) = -s + 11. Let h be a(0). Suppose -300 = -7*t + h*t. Let c = 120 + t. Calculate the greatest common divisor of 9 and c.
9
Let l = -231 + 291. Calculate the greatest common divisor of 1380 and l.
60
Suppose 340 = 4*a - 172. Let b(k) = -7 - 3*k + 2 - 3 + 6. Let m be b(-6). Calculate the greatest common factor of a and m.
16
Suppose 5*j + 3*v - 36 = 0, j + 0*v - 18 = 3*v. Let o be ((-6)/j)/((-8)/36). Calculate the greatest common factor of o and 15.
3
Let u(j) = j**3 - 12*j**2 + 16*j - 23. Let d be u(11). Calculate the highest common factor of 4 and d.
4
Let i = 20 + 178. Calculate the highest common factor of i and 18.
18
Let f be (-7)/((-3)/3) - -1. Suppose 3*c + 3*l = 6, 5*l = 4*c - 5 - 48. Suppose 440 = c*p - 2*p. What is the greatest common factor of f and p?
8
Let c = 50 + 58. Calculate the highest common factor of c and 144.
36
Suppose x = 2*t + 11, 4*x + x + 5 = 0. Let h be t/4 - (-6)/4. Suppose h = -6*p - 4 + 196. Calculate the highest common divisor of p and 8.
8
Let j = -7 + 91. Let k be (-4)/(-7) - ((-4960)/(-28))/(-5). Calculate the highest common divisor of k and j.
12
Let x be -3 + (28/(-2))/(-2). Let l(b) = -b**2 - 8*b + 4. Suppose 3*n + 14 = -10. Let v be l(n). Calculate the greatest common factor of x and v.
4
Suppose 5*w = 2*s - 5, 0*w + w = s - 7. Let j(m) = 24*m - 128. Let u be j(7). What is the highest common factor of u and s?
10
Let f(u) = -2*u**2 + 16*u + 10. Let x be 10 + (-3 - -4)*2. Suppose 0 = -5*b + x + 28. Let w be f(b). What is the greatest common factor of w and 50?
10
Suppose 126 = 5*n + 3*g, 0*n = 5*n + 2*g - 129. Let c = n + -3. Calculate the greatest common divisor of c and 6.
6
Let d =