). Suppose 63*k - z*k = -7420. Calculate the greatest common factor of 14 and k.
14
Let s be 1*-42*(-3 + (-27)/21). Suppose u - 14 = 2*m, -5*u + u - 4*m = -116. What is the highest common divisor of s and u?
12
Let c(t) be the first derivative of t**4/4 - 26*t**3/3 - 12*t**2 + 44*t - 143. Let b be c(27). Calculate the greatest common factor of 5 and b.
5
Suppose 24*u = 26*u - 12, 3*y = 5*u + 4545. Calculate the greatest common factor of y and 122.
61
Let h(c) = 17*c**3 - c**2 - 10*c + 25. Let w be h(4). Calculate the greatest common factor of 7 and w.
7
Let r(f) = f**2 + 2*f + 4. Let w be 4 + 3*-14*1. Let n = 46 + w. Let s be r(n). Calculate the greatest common divisor of 28 and s.
28
Let k be (-3355)/(-20) - (-2 + (-7)/(-4)). Suppose -2*v = -100 - 328. Let p be v/10 + -3 + 52/20. Calculate the greatest common divisor of p and k.
21
Let l(y) = -3*y**2 - 10*y + 10. Let c be l(-9). Let k = -145 - c. Let b be 1*k*(51/1)/(-3). Calculate the highest common factor of b and 17.
17
Let q be (-4)/(-22) - (-988)/11. Suppose -2*g + 37 + 18 = 43. Calculate the highest common factor of g and q.
6
Suppose 4*u + 16 = -6*r, 1049*u - 4*r = 1050*u + 24. Let h = -4 + 6. What is the highest common divisor of u and h?
2
Suppose 5*b = -16*s + 454, 0 = 2*s - 5*b - 56 - 12. What is the greatest common factor of s and 32?
1
Let h be 9/12*1*928. Let q(r) = 12*r**2 - 346*r - 34. Let c be q(29). What is the highest common factor of h and c?
24
Let r(p) = 4*p + 21. Let l be r(9). Suppose 76 = -231*o + 235*o. What is the highest common divisor of o and l?
19
Let d(z) = 10*z + 156. Let m be d(-15). Let q be (1 + -5)/(m/45*-3). What is the highest common factor of q and 70?
10
Let m be -20*((-42)/(-12) - 0 - 4 - 83). Calculate the highest common divisor of 55 and m.
5
Let o(d) = -d**3 - 17*d**2 + 47*d + 201. Let n be o(-19). What is the highest common divisor of n and 250?
10
Suppose -197*t - 1332 = -201*t. Let s(f) = 2*f**2 + 19*f + 41. Let l be s(-11). Calculate the greatest common divisor of l and t.
37
Let n = -54 - -13. Let r = -6 + n. Let s = 62 + r. What is the greatest common factor of 20 and s?
5
Let m be (105/(-135))/(5/(-90)). Let y be -4*14/4 + -1. Let l = 13 - y. What is the greatest common divisor of l and m?
14
Suppose 893 = 149*o - 111 - 1082. Let m = 40 + 44. What is the highest common factor of o and m?
14
Let h = 4246 - 4222. What is the greatest common factor of h and 992?
8
Let i(p) = -2*p**2 - 4*p + 11. Let w = -7 + 1. Let f be i(w). Let d = f + 43. What is the greatest common divisor of d and 4?
2
Let r be 69*28/21 - 3/((-6)/14). What is the highest common factor of r and 495?
99
Let p be (-1166)/(-16907) - 11569*(-1)/29. What is the greatest common factor of 1083 and p?
57
Let m be 2/3*1944/16. Let o = m + -9. Let w(t) = 2*t + 60. Let y be w(-26). What is the highest common divisor of o and y?
8
Let n be 1/2*(1 + 6 + -1). Let t be 5 + 0 + (4 - n). What is the greatest common factor of t and 1?
1
Suppose 0 = 4*t - 5*b - 33567, 0 = 136*b - 133*b + 9. What is the highest common factor of 1631 and t?
233
Let o = -117 + 306. Let v(y) = -y**3 + 6*y**2 + 9*y - 7. Let s be v(7). Suppose s*d = 2*d + 105. Calculate the highest common factor of o and d.
21
Suppose -4*o - 387 = -3*n - 7*o, 259 = 2*n + o. Let x = n - 38. What is the greatest common divisor of 2 and x?
2
Suppose -2*m - 5*v - 24828 = -5*m, -4*v = -m + 8276. Suppose 10*s + 2746 = m. What is the highest common divisor of s and 7?
7
Let h(i) = -i + 3. Let l be h(-3). Let s = -318 + 318. Suppose s = z - 9 - l. Calculate the greatest common factor of z and 15.
15
Let b = 1556 - 242. Suppose -5*d + 216 = -b. Calculate the greatest common factor of d and 6.
6
Suppose -3*u - 274 = -4*u - 4*g, 1354 = 5*u + 4*g. Suppose 646 + 554 = 5*p + 5*p. What is the highest common factor of p and u?
30
Let z = 36 + -19. Suppose -170 = -1035*i + 1033*i. Calculate the highest common divisor of z and i.
17
Suppose -m + 2*q = -2, 170*q - 165*q = -4*m + 73. What is the highest common divisor of m and 372?
12
Suppose -r + 2*r = 119. Let z = r + -18. Let c = z + -45. What is the highest common factor of c and 7?
7
Suppose 4*v + 123 = -585. Let i = v - -186. What is the highest common divisor of i and 21?
3
Let m be ((-585)/(-156))/((-25)/(-1380)). What is the greatest common factor of m and 3243?
69
Let h = -270 + 299. What is the greatest common factor of 1421 and h?
29
Suppose 19 = 3*v + s - 13, -5*v - 3*s + 56 = 0. Let o = v - -5. Let w be -1*(-14)/(-7)*(-105)/2. Calculate the highest common factor of o and w.
15
Let u be (1 - 3) + (-4 + 2)*-106. Let m be (-25)/(-2) + u/84. Calculate the highest common factor of 20 and m.
5
Suppose 9*w - 153 = -44 + 35. Calculate the highest common divisor of w and 1076.
4
Suppose 4*o = 24, -109 = -3*i + 4*o + 617. Calculate the greatest common divisor of 2150 and i.
50
Let u(s) = s**2 + 4*s - 8. Let r be u(-6). Let i be ((-72)/(-60))/(r/(-10)) + 25. What is the greatest common divisor of i and 143?
11
Let y = -67 - -66. Let f be y/(-3) - (-2338)/42. Calculate the highest common divisor of f and 14.
14
Let u be 20/30 + 33074/6. What is the greatest common divisor of 37 and u?
37
Let p be 1/((-5)/20) + 4. Suppose l = -2*n + 447, p = 5*l - 3*n - 1999 - 197. Calculate the greatest common divisor of 49 and l.
49
Let l be (7 - -101) + (-3)/2*2. Suppose 2*s + 0*s - 3*z + 3 = 0, 0 = s - 2*z - 1. Let x be 27/s + 11*3. Calculate the highest common divisor of l and x.
15
Let y be ((-1682)/6)/(2/(-6)). Suppose -3*t + 161 = l, -6*l - 3*t = -l - y. Let n be 68/8*3*(-8)/(-6). Calculate the highest common factor of n and l.
34
Suppose 0 = -5*f - 16*f + 1470. What is the highest common factor of f and 1260?
70
Let n(j) = -3*j + 1. Let t be n(-4). Let c = -930 + 934. Suppose -c*b + 344 = 5*q, -2*b - 5*q + 170 = -2*q. What is the greatest common factor of t and b?
13
Let b be (-58650)/(-11 - 4)*(4 - 3). Calculate the greatest common divisor of b and 170.
170
Let t = 7022 + -6506. Calculate the highest common divisor of t and 60.
12
Let g(n) be the second derivative of -n**3 + 7*n + 20*n**2 - 20*n**2 - 6*n. Let w be g(-10). What is the highest common divisor of 15 and w?
15
Let j be -350*(-1 - (-3)/5). Let h(p) be the second derivative of -p**3 + 10*p**2 + 5*p. Let r be h(-6). Calculate the highest common factor of r and j.
28
Suppose 588*k = 2727 + 55485. Suppose -4*i = -0*i - 252. What is the highest common divisor of i and k?
9
Let j = -1 - -1. Suppose j = -m + 23 - 1. Suppose -650*g = -748*g + 2601*g - 27533. Calculate the greatest common divisor of g and m.
11
Let m = 13160 - 12242. Calculate the highest common divisor of m and 24.
6
Suppose -6*b - 18 = -42. Suppose 0 = -5*d + b*z - 657 + 1677, d - 204 = 5*z. Calculate the highest common factor of 51 and d.
51
Suppose 65*z - 24750 = -z. Calculate the highest common factor of 1800 and z.
75
Let m = 164 + -164. Suppose -2*r + 36 = 2*x, m = -9*x + 5*x. What is the highest common divisor of r and 162?
18
Suppose 18*p - 291 = 4146 + 5013. Calculate the highest common divisor of 2275 and p.
175
Let v(l) = -27*l**3 + 2*l**2 - 3. Let r(c) = c**3 - 14*c - 6. Let z be r(-6). Let a = z + 136. Let o be v(a). What is the greatest common factor of 17 and o?
17
Let d(p) = 2*p**3 - 5*p**2 + 8*p + 7. Let t be 507/117 - 8/6. Let z be d(t). Calculate the greatest common divisor of 120 and z.
40
Let y(l) = 4*l**2 - 5*l + 7. Let b be y(-5). Let u = -201 + 249. Suppose 0*r = 4*r - u. Calculate the highest common factor of b and r.
12
Let q(n) = -n**2 + 2*n - 10. Let g be q(-7). Let y = g + 76. Suppose 0 = -y*z - 2*d + 26, 3*d + 11 + 28 = 2*z. What is the highest common divisor of 204 and z?
12
Let p(b) = 23*b - 209. Let k be p(13). Let z = -150 - -230. Calculate the greatest common factor of k and z.
10
Suppose 0 = 29*c - 323 - 141. Let l be (-6)/(-14) + (-244)/14. Let t = l + 25. What is the greatest common factor of c and t?
8
Let f(s) = 46*s**2 + 11*s + 42. Let n(a) = 11*a + 250. Let x be n(-23). Let k be f(x). What is the greatest common factor of 188 and k?
47
Let c = 134404 - 134327. Let n be -1*(-154)/(-2)*-7. Calculate the greatest common divisor of c and n.
77
Suppose 4*z - 4594 - 2662 = -3*t, 4*t + 2*z = 9648. What is the greatest common factor of t and 77?
7
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