
7
Let k(a) = a**3 + 69*a**2 + 54. Let t be k(-69). Suppose 111 = 2*u + 39. Calculate the highest common factor of t and u.
18
Let p(y) be the first derivative of 1/4*y**4 - 27 - 5/2*y**2 - 5*y - 2/3*y**3. Let d be p(5). Calculate the highest common factor of 18 and d.
9
Let f be 266/(-16)*(-499 + 483). Suppose -5*g + 184 = 44. What is the greatest common factor of f and g?
14
Let y = -4116 - -4148. Suppose 0 = -4*q + 7 + 9. What is the greatest common divisor of q and y?
4
Suppose 19*n - q = 8245, -n + 15 = -2*q - 417. What is the greatest common divisor of n and 406?
14
Let i = -18217 - -19169. What is the highest common divisor of 7 and i?
7
Let k(v) = -v**3 + 8*v**2 + 2*v - 6. Let r be k(8). Suppose -6*t + r*t = -4. Let z be 30*(-1)/(3/t). Calculate the highest common factor of 15 and z.
5
Let x be (-3 + (-93)/(-9))*(-957)/(-22). What is the greatest common divisor of 551 and x?
29
Let p(j) = 6*j + 361. Let n be p(-53). Suppose -n*f + 3*f + 400 = 0. Calculate the greatest common factor of f and 170.
10
Suppose -3857*r = -3859*r - 181 + 14951. What is the greatest common divisor of 105 and r?
35
Suppose 23331 = d - 3*h, -60*d = -55*d + 3*h - 116763. Calculate the greatest common divisor of 181 and d.
181
Let d(h) = 2*h**2 + 10*h - 7. Let y be d(-6). Suppose -1 - y = x - s, -18 = 3*x - 5*s. Let r = x - -20. What is the highest common divisor of r and 14?
14
Let u = -36 - -156. Let g(x) = x**3 + 2*x**2 - 14*x. Let v be g(4). Calculate the highest common divisor of u and v.
40
Let p = -34 + 118. Suppose 91*c = p*c + 672. Calculate the greatest common factor of c and 3.
3
Suppose 187282 + 17956 = 41*j + 25904. Calculate the greatest common factor of j and 6.
6
Let l(f) = f**3 + 24*f**2 - 5*f - 92. Let o be l(-24). Calculate the highest common divisor of o and 406.
14
Let d be 4 - (-3 - -2) - 3. Suppose d*g - 4*g + 8 = -4*j, j + 8 = 2*g. What is the highest common factor of g and 36?
4
Let y = -997 - -989. Let h be 444/16 - (6 - (-50)/y). Calculate the greatest common factor of h and 700.
28
Let a be (-13 - -8) + -1 + -106. Let q = a - -147. What is the highest common divisor of 15 and q?
5
Let f = -48 + 47. Let v be (-16)/(240/125 + f + -1). Let t = 27 + -2. What is the highest common factor of t and v?
25
Suppose 2*v = 4*t + 22084, -55*v + 5*t + 44159 = -51*v. Calculate the greatest common factor of 372 and v.
124
Let g(h) = -h**3 - 37*h**2 - 34*h + 75. Let f be g(-36). Suppose 3*q = 4*b - 298, -3 = q - 5. Let x = -70 + b. Calculate the highest common divisor of f and x.
3
Suppose 5705 - 917 = 42*i. What is the greatest common divisor of i and 2318?
38
Let o = -142 - -110. Let y = 86 + o. Let q(c) = 4*c**2 - 7*c. Let n be q(-5). Calculate the highest common divisor of n and y.
27
Let v be ((-450)/(-120))/(1/(-20)) + 3. Let u be (v/(-8) - 10)*19*-4. What is the greatest common factor of 8 and u?
4
Let y = -6235 - -6430. Calculate the highest common factor of 2509 and y.
13
Let v = -5509 + 6477. What is the greatest common divisor of 24 and v?
8
Suppose 83*f + 35*f = -96*f + 1070. Suppose -o + 4*t = -0*o - 99, 2*t - 198 = -2*o. Let m = o + -54. What is the greatest common divisor of m and f?
5
Let t = 70 - 50. Let z = -9 + t. Let n(h) = -5*h**2 - 122*h + 939. Let o be n(-30). Calculate the highest common divisor of o and z.
11
Suppose -5*y = -5*t - 2920, 3*t - 5*t = -y + 580. Let z = 608 - y. Suppose 3*g = -l + 108 + 12, 40 = g - 2*l. What is the highest common factor of g and z?
20
Suppose 16*q - 1920 = 3968. What is the highest common factor of q and 230?
46
Let b be 4/((-10 + 4)/6) + 6022. Calculate the greatest common factor of 102 and b.
102
Let t be 6/((-18)/(-123)) + 0 + (-12)/2. Calculate the highest common divisor of t and 415.
5
Let a(m) = -20*m + 154. Let n be a(5). What is the highest common factor of n and 54?
54
Suppose 12 = 3*l, 4*l - 62 = -3*b - l. Suppose 0 = 2*z + 6*z - 40. Let h(i) = 27*i - 23. Let j be h(z). What is the highest common factor of j and b?
14
Suppose -3*h + 8*h = 0. Suppose 8*a + 2 - 10 = h. Let l be (18/12)/((-1)/(-12)) - a. What is the highest common factor of l and 153?
17
Suppose 3*z - 4*z = -3. Suppose 2*a = -z*a + 15. Let v(s) = -s**3 + 5*s**2 + 27*s - 117. Let n be v(6). What is the highest common divisor of n and a?
3
Let j = 2846 - 2777. Calculate the greatest common divisor of j and 8280.
69
Let r(y) = 3*y**2 + 10*y + 9. Let g be r(-1). Let f be 23*(7 + (-4 - g)). What is the highest common factor of 115 and f?
23
Let z be (-21845)/(-9) + 3 - (-4)/(-18). Calculate the highest common factor of z and 30.
30
Let f(s) = 5*s - 13. Let h be f(3). Suppose h*q = -3*q. Suppose -3*p + c + c + 409 = 0, q = -p - 4*c + 127. What is the highest common factor of 27 and p?
27
Let t be ((-735)/(-196))/(3/440). Calculate the highest common factor of t and 55.
55
Let r be (-12)/(-27) - (51/(-306))/(3/62578). What is the highest common factor of r and 183?
183
Suppose -l - 8 = -0*l - 3*x, -3*x - 4 = -4*l. Let u = -7297 + 7303. What is the greatest common factor of u and l?
2
Suppose 69043 + 22047 = 27*b - 27791. Calculate the greatest common factor of 518 and b.
259
Let q = 13 + 22. Suppose 0 = -13*m + 69 + q. Suppose m*r - 1782 = -438. Calculate the greatest common factor of r and 21.
21
Let p(k) = 185*k**2 - 6*k + 6. Let g be p(2). Suppose -19*u + g = -444. Calculate the greatest common divisor of 155 and u.
31
Suppose 22*o - 18*o + 40 = 0. Let h be 6/o - 15720/(-200). What is the highest common factor of h and 234?
78
Suppose -i - 4 = -2*i, 0 = -4*w - i + 548. Let v = w - 116. What is the highest common divisor of v and 80?
20
Let h(a) = -a**3 - 17*a**2 + 39*a + 230. Let k be h(-25). Calculate the greatest common factor of 555 and k.
185
Let r = -18 - -27. Let y be ((-24)/(-9) - 2)/(1/(-6)). Let k be 7 + -3 + 0 + (-164)/y. What is the highest common divisor of r and k?
9
Let s(z) be the second derivative of -z**4/12 - 3*z**3 - z**2/2 + z - 57. Let j be s(-15). Calculate the greatest common factor of j and 110.
22
Let g(q) = 194*q + 7984. Let c be g(-41). Suppose k = 3 - 1. Let n be (-2 - -16) + -1*k. Calculate the highest common divisor of n and c.
6
Suppose -t - 163 = -41. Let i = 125 + t. Suppose -8*y + 66 = -i*y + m, 0 = -y + 3*m + 10. What is the greatest common factor of 26 and y?
13
Let r = 80 + -56. Let g(w) = 3*w**3 + 12*w**2 - 10*w - 53. Let k be g(-4). Let t = r - k. What is the highest common divisor of t and 296?
37
Suppose -2*a + 2 = -a. Suppose 866 - 962 = -12*o. Calculate the greatest common divisor of o and a.
2
Let o = 21368 + -14902. What is the greatest common factor of 106 and o?
106
Let t be 2*(-11)/((-143)/10075). Calculate the highest common factor of t and 100.
50
Suppose 0 = 8*d - 3*d - 20. Suppose -d*b + 41 = -19. Suppose 7*y - b = 4*y. What is the highest common divisor of 15 and y?
5
Suppose m + 4*u - 24456 = -m, 3*m - 3*u = 36648. Calculate the highest common factor of m and 564.
188
Suppose 0 = 3*g + 4*m - 74, -4*m = g + 7 - 29. Calculate the highest common factor of 1963 and g.
13
Let m(g) = -10*g + 6*g + 0 + 3 + g**2 - 10*g. Suppose 33 = 3*o - 3*b, o - 4*b = 3 - 1. Let w be m(o). Calculate the highest common factor of 27 and w.
3
Let d(o) = 1918*o + 5768. Let l be d(-3). Suppose -3*p + p = -14. Calculate the greatest common factor of l and p.
7
Suppose -3*i = -r - 150, 16 = i + 4*r - 21. Suppose 17 - i = -4*y. Let o be -5 - y/(16/(-30)). What is the highest common factor of 80 and o?
10
Let b = 19 + -14. Suppose b*y = -14 + 89. What is the highest common factor of 165 and y?
15
Suppose -w = 2*w + 5*b - 441, -w - 2*b + 147 = 0. Suppose 195 - w = 12*j. What is the highest common factor of j and 128?
4
Suppose 3*c = 5*l + 1497, 0 = -3*c - 5*l + 904 + 623. Calculate the highest common factor of 144 and c.
72
Let o(z) = 91*z**3 - 6*z**2 + 44*z - 175. Let l be o(5). Calculate the greatest common divisor of l and 392.
98
Suppose 36*n = 32*n + 440. Suppose -114*v + 132 = -n*v. What is the greatest common divisor of 6 and v?
3
Let o be 24/9 - 1/(-3). Suppose -o*p + 92 = -p. Calculate the highest common factor of 46 and p.
46
Let x = -159 - -37. Let t = x - -302. Calculate the greatest common factor of 36 and t.
36
Let c(w) = -2*w**2 - 92*w - 89. Let k = 558 + -603. Let s be c(k). What is the