*n = t + 12, -4*n + 26 = w*t. Suppose 2*s - y + 89 = 7*s, 0 = s - 4*y - 22. Calculate the highest common divisor of s and t.
2
Let n(p) = -5 + 14 + 5 - 13*p + p**2. Let y be n(15). What is the highest common divisor of 11 and y?
11
Suppose 12*i = -882 + 2610. What is the greatest common factor of 30 and i?
6
Let z(x) = 11*x**3 - x**2 + 2*x - 1. Let g be z(1). Suppose 0 = -g*y + 68 + 64. Calculate the greatest common divisor of y and 156.
12
Suppose 3*i = 5*n + 46, -n = 2*i + n - 52. Let h be 4/14 - 2/7. Suppose 5*x - 189 + 24 = h. What is the greatest common divisor of i and x?
11
Let m(g) be the first derivative of 5*g**3/3 - g**2/2 + 4. Let p be m(-3). What is the highest common factor of p and 32?
16
Suppose 3*i + 2*x = 959, -2*x + 8 = 18. What is the highest common factor of 136 and i?
17
Let p(u) = -2*u - 7. Let n be p(-5). Suppose -4*m = 4*t - n*m - 236, 2*t + 2*m = 112. Suppose 9 = x - 15. Calculate the greatest common factor of t and x.
12
Let a(x) be the first derivative of x**3/3 + x - 2. Let k be a(1). Let z(w) = -w**2 - 30*w - 48. Let v be z(-28). What is the highest common divisor of k and v?
2
Let i(s) = s**2 + 5*s + 7. Let h be i(-6). Suppose 0 = -2*f - 70 - 30. Let w be (2 - 3) + 3 - f. Calculate the greatest common factor of w and h.
13
Suppose 68 = 146*y - 142*y. Let n(p) = 3*p**2 + p - 1. Let q be n(1). Suppose 56 = q*j + 5. Calculate the greatest common factor of j and y.
17
Let m(y) = -12*y + 2 + 16*y**2 + 54*y - 12*y - 14*y. Let l be m(-5). What is the highest common factor of l and 14?
14
Suppose 1 = -g + 3. Let n be (0/(-3))/((-4)/g). Let u be 77 + 7 - (n - 0). Calculate the greatest common factor of 14 and u.
14
Suppose 5*c = 4*w + 152, 3*c + 2*w - 87 = 3*w. Let z = 90 - 76. What is the greatest common factor of c and z?
14
Let k be 74 + (3/15)/((-25)/(-125)). Suppose -4*f = 3*v - 15, 3*f = v + f - 5. Let w be v*3*(-1)/(-1). Calculate the highest common divisor of k and w.
15
Let i = -1650 - -1713. What is the greatest common divisor of 168 and i?
21
Let a be ((-33)/3)/(5/(-100)). Let i be (13 + -5 - -6)*50/35. Calculate the greatest common divisor of i and a.
20
Let t be 2 + -2 + 117 - 265/53. Calculate the greatest common divisor of t and 7.
7
Suppose 15*a - a - 588 = 0. What is the highest common factor of 56 and a?
14
Let o = -124 + 295. Calculate the highest common factor of 18 and o.
9
Let p(y) = y**3 + 2*y**2 - 2*y - 2. Let i be p(-2). Let n be (2/3)/((-6)/(-117)). Suppose -4*z + 11 = -n. Calculate the highest common divisor of z and i.
2
Let n(j) = 22*j. Let v be n(9). Suppose -3*r + 0*r = 12. Let x(h) = -h**3 - 4*h**2 - 6*h - 6. Let w be x(r). Calculate the greatest common factor of v and w.
18
Suppose 160*y = 178*y - 594. Calculate the highest common factor of 9 and y.
3
Let k = -86 - -121. Suppose -3 + k = 2*f. What is the greatest common divisor of 64 and f?
16
Let c(f) = f**2 - 23*f - 155. Let w be c(-6). Calculate the highest common divisor of w and 3.
1
Let u(r) = 2*r**3 - r**2 - 7*r + 8. Let f be u(1). What is the highest common divisor of 14 and f?
2
Let l = -506 + 737. Let o(c) = -2*c**3 + 5*c**2 + 20*c - 6. Let i be o(-3). Calculate the highest common divisor of i and l.
33
Let t(n) = -n**2 + 20*n + 34. Let c be t(20). Suppose -4*w - 17 = -85. Calculate the highest common divisor of w and c.
17
Let n = 503 - 206. Let t = 394 + -361. Calculate the highest common divisor of n and t.
33
Suppose -10 = 5*p, p - 6*p = 5*c - 270. Suppose 0 = -g - g + c. Suppose 0 = 2*a + 5 - 11, -m - 5*a + 85 = 0. What is the highest common divisor of g and m?
14
Let o(d) = -d**2 + d + 15. Let r be o(-8). Let p = r - -76. What is the greatest common divisor of p and 19?
19
Suppose -3*s + 59 = x, -4*x + 248 = s + 23. What is the highest common divisor of 32 and x?
8
Suppose -3*l + 58 = 5*d, 0*d = -4*l + 5*d + 124. Let o = 33 - l. Calculate the greatest common divisor of 35 and o.
7
Let r = 144 - 139. Let n be (26/(-4))/(3/(-6)). Let c = n - r. What is the greatest common divisor of c and 32?
8
Suppose 151 = 17*y + 32. Calculate the highest common divisor of y and 56.
7
Let r(f) = 11*f - 242. Let q be r(24). What is the highest common divisor of q and 539?
11
Let x be (-12)/(6 - 2) + 78/(-2). Let l = x + 92. Calculate the highest common factor of l and 10.
10
Let c = -306 + 352. What is the highest common factor of c and 368?
46
Let o(k) = k**3 - 7*k**2 + 34*k - 10. Let l be o(5). Calculate the highest common factor of 154 and l.
22
Suppose -4*m - 168 = -i, -5*i + 98 = -2*m - i. Let y = 104 + m. Let f be 15*(-7)/(y/(-6)). What is the highest common divisor of 40 and f?
10
Suppose 0 = 30*t - 33*t + 150. Suppose -9*h + 22 = -t. What is the highest common factor of h and 24?
8
Let d(o) be the second derivative of o**4/12 + 8*o**3/3 - 19*o**2/2 + 31*o. Let f be d(-18). Calculate the highest common factor of 34 and f.
17
Let i = -109 - -142. Suppose 0 = -29*h + i*h - 108. What is the greatest common factor of h and 27?
27
Let g(h) = 151*h**2 + 10*h + 10. Let q be g(-2). What is the greatest common divisor of 22 and q?
22
Let m = -1824 - -2139. What is the greatest common divisor of 140 and m?
35
Let h = 753 + -746. Calculate the highest common divisor of 539 and h.
7
Suppose 8*u + 75 = 13*u. Let w(c) = c**3 + c + 15. Let a be w(0). Calculate the highest common divisor of a and u.
15
Suppose b - 3*y = 258, -223*y + 227*y = -2*b + 506. What is the highest common factor of b and 30?
15
Suppose -2*f + 2*w + 30 = -4*f, 4*w + 12 = 0. Let h(s) = s**3 + 13*s**2 + 4*s + 4. Let a be h(f). What is the highest common factor of a and 40?
20
Suppose 0 = 5*v - 52 - 88. Let h = v - 18. Calculate the highest common factor of h and 20.
10
Let g be 170 + (14/(-35))/((-3)/(-15)). What is the greatest common divisor of g and 8?
8
Let w be (-44)/(-6)*(-6)/(-4). Let o = 63 + -8. Suppose 3*a - o = t + 13, 0 = 4*t + 8. What is the greatest common divisor of a and w?
11
Suppose 10*s + 4*s = 1344. Let w(z) = z**2 - 4. Let v be w(-4). Calculate the highest common factor of s and v.
12
Let q be 35/21 + 1*(-3)/(-9). What is the highest common divisor of 7 and q?
1
Let j(x) = -x + 12. Let p be j(6). Suppose 2*l - p*l + 5*d + 239 = 0, -2*l + 3*d = -117. Calculate the highest common factor of 44 and l.
22
Let c = -2 - -5. Let d(o) = o**2 - 2*o + 3. Let x be d(c). Suppose x = t + 1, r - t - 14 = 0. What is the highest common divisor of r and 152?
19
Let b be (-3)/2 + 1/2. Let m(c) = -c**2 - c. Let i be m(b). Suppose i = -2*l + 3 - 1. Calculate the highest common factor of l and 7.
1
Let q be 22380/78 + (-9)/(-117). Calculate the greatest common factor of 451 and q.
41
Suppose l - 423 = -4*b, 0*b - 3*l - 533 = -5*b. Let m = b + -62. Let u be (m/(-33))/(2/(-6)). Calculate the greatest common divisor of u and 16.
4
Let w be (-1 + 3)/((-3)/(-36)). Suppose -2 = 2*p - w. Let z(j) = -j**2 + 11*j + 7. Let v be z(p). What is the highest common factor of v and 1?
1
Let t be (6/(-6))/(-2 + 3). Let z be -4 - (t + -2 - 5). Suppose 3*u + z*u = 77. Calculate the greatest common factor of 11 and u.
11
Let h be 5/2 - 2/4. Suppose -282 = -h*j - 86. Suppose 3*x = x - 3*b + 103, 0 = -2*x + 2*b + j. What is the highest common divisor of 125 and x?
25
Let i = -5 + 31. Calculate the greatest common divisor of i and 130.
26
Let r = -29 - -206. Let k be 3/(-12) + r/4. Calculate the highest common divisor of 44 and k.
44
Let a(q) = 115*q**2 - 5*q - 5. Let f be a(-1). Calculate the greatest common divisor of f and 69.
23
Let w(g) = -8*g - 6. Let a be w(-6). Suppose 0 = 7*k - 2*k + 5*f - 320, 0 = 5*f - 5. Calculate the greatest common factor of a and k.
21
Suppose 0 = 14*t + 1620 - 6128. Calculate the highest common factor of t and 92.
46
Let w(j) = j**2 + j. Let q be w(2). Let c = 6 - q. Suppose b + b - 88 = c. Calculate the greatest common divisor of 22 and b.
22
Suppose -8*h - 5 = 11. Let p be (-27)/12*h*12. What is the highest common factor of p and 216?
54
Suppose -501 + 15 = -9*z. Calculate the highest common divisor of 54 and z.
54
Suppose -840 - 744 = -22*w. Calculate the greatest common factor of w and 192.
24
Let j = 14 - 2. Let d be 0/(-8) + -5 - -17. Calculate the highest common divisor of j and d.
12
Suppose 2*n - 41 = -5. Suppose t - 32 = n. Let w = t + 22. Calculate the g