1. Suppose -4*a - 5*q + r = 0, -4*q = 2*a - 5 - 127. Calculate the highest common factor of w and a.
19
Let z(r) = r**3 + 7*r**2 + 8*r + 6. Let y be z(-5). Suppose 67*s - 4057 = 4519. What is the highest common factor of y and s?
16
Let j be 72/32*-4 + 41. What is the highest common divisor of j and 52?
4
Let t be -3 - 0 - (-10)/(20/1026). Calculate the highest common factor of 30 and t.
30
Suppose 0 = -2*o - 6, -2*o - 232 = -2*m + 14. Let t(v) = 16*v**3 - 2 + v + 0*v + 6*v**2 - 6*v**2. Let u be t(1). What is the highest common divisor of u and m?
15
Let s(y) = -94*y + 527. Let c be s(0). Calculate the highest common factor of 17 and c.
17
Let k(u) = -16*u + 188. Let c be k(8). What is the greatest common factor of c and 4?
4
Suppose 4*a - 605 = -a. Let k be ((-40)/(-15))/(1/33). Let x = k + -77. Calculate the greatest common factor of a and x.
11
Suppose 4*d + 676 = 17*d. Suppose d + 5 = 3*s. Suppose -3*h = -3*f - 618, 4*f = -2*h + 4*h - 406. Calculate the highest common divisor of s and h.
19
Suppose a + 3*l + 4 = 0, -4*a + 0*l - 2 = 5*l. Suppose 4*b - 3*b = a. Let c = b - -16. Calculate the highest common divisor of 45 and c.
9
Suppose 21 = -5*i + 91. Calculate the highest common factor of 98 and i.
14
Let n(o) = 12*o - 60. Let b be n(12). What is the greatest common divisor of 364 and b?
28
Suppose 0 = 2*f + 2*u - 60, 138*u + 222 = 5*f + 134*u. Let o = -87 - -144. What is the highest common divisor of f and o?
19
Let i = 1113 + 111. What is the greatest common divisor of i and 72?
72
Suppose -48*r - 162 = -57*r. What is the greatest common divisor of 306 and r?
18
Let r = -275 - -482. What is the greatest common divisor of 46 and r?
23
Suppose m + 46 = 234. Let u(p) = 8*p**2 + 9*p - 7. Let b be u(6). Let t = b - m. Calculate the greatest common factor of 21 and t.
21
Suppose -6*t - 10*t + 560 = 0. What is the greatest common factor of 133 and t?
7
Let c be 5/((-5)/(-2324)) - 105/(-15). Calculate the greatest common divisor of 63 and c.
63
Let u be (-2)/7 - 186/(-14). Let c(z) = -270*z - 1864. Let x be c(-7). What is the highest common divisor of u and x?
13
Suppose -52*f + 42*f = -140. Calculate the highest common divisor of f and 224.
14
Let q be (-86)/(-10) - (-2)/5 - -1. What is the highest common divisor of 85 and q?
5
Let z(h) = -h**2 + 8*h - 12. Let i be z(5). Let k be -3*(-4 + i) + 14. Calculate the greatest common divisor of k and 17.
17
Suppose 22 = 3*f - 14. Suppose 6*j + 13*j = 114. Calculate the highest common divisor of j and f.
6
Let g = -54 + 101. Let f be (-2)/9 + g/9. What is the highest common divisor of f and 15?
5
Suppose 3*p - 10 - 14 = 0. Suppose 0 = 5*z + p*z - 780. Calculate the highest common divisor of 20 and z.
20
Let b be (-2)/(-9) - (-205)/9. Let k = -25 + 38. Suppose -11*w - 92 = -k*w. Calculate the greatest common factor of b and w.
23
Let k = -262 - -348. What is the highest common factor of 86 and k?
86
Let s be (2 - 4) + -1 + 5. Suppose 5*m - 38 = -2*z, 5*m - m = s*z - 20. Calculate the highest common factor of 98 and z.
14
Let k = -125 + 405. Calculate the highest common factor of 245 and k.
35
Let z(d) = 3*d - 54. Let g be z(18). Suppose 2*f - 97 - 17 = g. What is the greatest common factor of 19 and f?
19
Let t be (-15)/(-1)*1 + -1. Let q = 28 + -26. Suppose -156 = -a - q. What is the highest common factor of a and t?
14
Suppose 3*r = q - 13 - 29, 3*q - 4*r = 131. What is the greatest common divisor of 27 and q?
9
Let d(f) = -f**2 - 5*f + 16. Let j be d(5). Let s = -23 - j. What is the greatest common factor of s and 1?
1
Suppose -5*q + 3*q = 2546. Let x be q/(-2) - 4/8. Suppose -6*j + x = 24. Calculate the highest common factor of j and 68.
34
Let a be (-46)/(-10) + (-6)/10. Let s(y) = -3*y - 9. Let r be s(a). Let z = 60 - r. What is the highest common factor of z and 9?
9
Let b(y) = -347. Let h(o) = -o + 348. Let i(g) = -7*b(g) - 6*h(g). Let n be i(0). What is the highest common divisor of 31 and n?
31
Let y be ((-1)/(-2))/((-55)/(-770)) + 33. Calculate the greatest common divisor of 890 and y.
10
Suppose 35*s = 37*s - 480. Suppose -4*o = -8*o + s. Suppose o = l + 24. What is the greatest common divisor of 4 and l?
4
Let n = -1006 + 3518. What is the highest common divisor of n and 157?
157
Suppose -235*u = -237*u + 780. Calculate the greatest common divisor of u and 20.
10
Suppose 0 = 3*g - g. Let s(n) = -3 + 4*n - 3*n + n**2 + g*n**2 + 0. Let t be s(-6). Calculate the greatest common divisor of t and 9.
9
Let i(r) = -r**2 - 11*r. Let q be i(-6). Calculate the highest common factor of q and 15.
15
Let c = 2904 + -1408. What is the highest common factor of 176 and c?
88
Suppose -5674 = -29*h - 1730. What is the highest common divisor of h and 51?
17
Let t = 1113 + -591. Calculate the highest common divisor of t and 198.
18
Suppose -3*o - 22 = 5*y, -2*y = -5*o - 4*y - 24. Let d be 4/(-3) - o/(-6). Let t = 2 - d. What is the highest common factor of 16 and t?
4
Let s be -1 - 1 - (-6)/2. Let v = -2 + 15. Suppose -v = -h + 4*q, -2*h + 3 = 4*q + 13. Calculate the greatest common factor of s and h.
1
Let c = 214 + -182. Let a(k) = k**2 - k - 2. Let h be a(-2). What is the highest common divisor of h and c?
4
Let a be (-2)/(-2)*-1*-108. Suppose 28 - 16 = 6*g. Suppose j + 12 = g*j. Calculate the greatest common divisor of a and j.
12
Let m = -274 - -350. What is the greatest common divisor of 2204 and m?
76
Let w be ((-819)/7)/((-3)/2). Suppose -30 = -39*z + 34*z. Calculate the greatest common factor of w and z.
6
Suppose -8 = -4*m - 0. Let h(y) = 3*y + 70. Let a be h(-10). Suppose -2 = t - m*l - 10, 4*l + a = 5*t. What is the greatest common divisor of 1 and t?
1
Suppose -9*y = -11*y + 594. Suppose -12*c - y = -15*c. Calculate the greatest common factor of 22 and c.
11
Let x(u) = -2*u + 7 + 5 - 1. Let c = 563 + -563. Let m be x(c). Calculate the greatest common factor of m and 121.
11
Let a(x) = 2*x**2 + 50*x + 368. Let z be a(-14). Calculate the highest common divisor of z and 246.
6
Suppose -1785 = -28*u + 25*u. Calculate the greatest common factor of u and 170.
85
Let x = -15 + 125. Let w be 9/(-12) + (3/(-3))/((-16)/172). Calculate the greatest common divisor of x and w.
10
Suppose 7*x - 9*x + 12 = 0. Suppose s = x*s - 45. What is the greatest common factor of s and 36?
9
Let r = 300 - 264. Let l = 11 + -7. Suppose j + 37 = -2*h + 4*h, 0 = -l*h + j + 73. What is the greatest common divisor of r and h?
18
Suppose 17*x - 11*x = 720. What is the greatest common factor of 15 and x?
15
Let w = -33 + 65. Suppose 0 = 5*y + 4*b - 40, -w = -4*y - 6*b + b. Suppose -2*m + 37 = m + 5*x, -4*m = -2*x - 6. What is the greatest common factor of y and m?
4
Suppose 72*k - 336 = 69*k. Suppose 0 = -2*t - 3*t + 70. Calculate the greatest common factor of t and k.
14
Let a(p) be the second derivative of 17/6*p**4 - 5/6*p**3 + 2*p + 0 + 3/2*p**2. Let z be a(3). What is the highest common divisor of 42 and z?
42
Let w be 100 + ((-4)/2 - (-4 - 2)). Let t = w - 96. Suppose 96 = 4*p + 16. Calculate the greatest common factor of t and p.
4
Let y = -268 - -513. Calculate the highest common divisor of y and 70.
35
Let p be (-3)/(-2) + 6/((-60)/(-115)). What is the highest common divisor of 13 and p?
13
Suppose 0 = x - 4*l - 61, -2*l = 5*x + 98 - 337. What is the highest common divisor of 91 and x?
7
Let w be 4/((2/(-10))/(-1)). Let u(g) = -g**2 + 6*g + 2. Let j be u(6). Suppose j*d - 172 = 108. What is the greatest common factor of w and d?
20
Let y(v) = v**3 - 71*v**2 - 64*v - 570. Let t be y(72). Calculate the highest common divisor of 2154 and t.
6
Let i = -226 - -236. Let l be (2 + 4)*(-15)/(-2). Calculate the highest common divisor of i and l.
5
Suppose 3*i - 7 = 8, 1579 = -2*j - i. Let w be j/(-12)*(-1)/2. Let q = w - -54. What is the greatest common divisor of 14 and q?
7
Suppose 2*i - 5*i = 0. Suppose j + 5*j - 132 = i. Calculate the greatest common factor of 22 and j.
22
Let v(g) = g**2 + 10*g + 6. Let f be v(-5). Let a = 40 + f. Let y be (-3)/(-4) + (-54)/72 + (3 - -4). Calculate the highest common factor of a and y.
7
Let b(y) = 61*y**3 + 2*y**2 + y. Let i be b(-1). Suppose -20*a = -16*a + 564. Let k = i - a. Calculate the highest common divisor of k and 9.
9
Let q(p) = 51*p + 1. Suppose -10*v + 45 = 15. Let c be q(v)