r, 0 = 3*n - 5*r + 16. Suppose z = n*z + 3*y - 22, z + 15 = 5*y. What is the highest common divisor of 4 and z?
1
Let j(o) be the first derivative of o**3/3 - 5*o**2/2 - 32*o + 13. Let n be j(-4). Calculate the greatest common divisor of n and 30.
2
Let a(d) = -2*d - 38. Let k be a(-19). Suppose 8*c + c + 27 = k. Let s be (50/(-6)*c - 1) + 4. Calculate the greatest common factor of 4 and s.
4
Let q(c) = c**3 - 3*c**2 - c + 7. Let h be q(3). Suppose -h*w + 9*w = 0. Suppose w*z = 2*z - 48. What is the highest common factor of 16 and z?
8
Let x = 140 + -148. Let a be -5*x/20 + 288. What is the greatest common divisor of a and 29?
29
Suppose 4*d = -30*o + 26*o + 9120, 5*d = o - 2328. What is the highest common factor of 884 and o?
52
Let q(w) = w**3 + 10*w**2 + 7*w - 1. Let k(i) = -i**3 - 21*i**2 - 38*i - 9. Let r be k(-19). Let l be q(r). Calculate the highest common factor of 153 and l.
17
Suppose -406*b - 4*r = -404*b - 1472, -b + 5*r + 778 = 0. What is the greatest common divisor of b and 2805?
187
Suppose -5*k + 2*g = -2, k + g + 24 = 30. Suppose -4*n - 11 + 171 = -3*j, k*n + 3*j = 80. Calculate the greatest common divisor of n and 340.
20
Let u be 23 + ((-663)/156 - 2/(-8)). Suppose s = u*s - 234. What is the highest common factor of 832 and s?
13
Let m(t) = -18*t + 25*t - t**2 + 3*t**2 + 234 - 49*t. Let z be m(10). Let u = -33 - -47. What is the highest common factor of u and z?
14
Let a = -1103750 + 1103762. Let n be -1 - (2 - 1)*-89. Calculate the highest common divisor of n and a.
4
Let p be 2/9 - (-6)/(-27). Suppose 5*j + 5*t - 100 = p, -2*j + 26 = -3*t - 2*t. Let n = 223 + -178. Calculate the greatest common factor of j and n.
9
Let r be (-140)/14 + 186/3. Let o be (-4 + 2)*-2*2. Suppose -9*a = -o*a - 13. Calculate the greatest common factor of a and r.
13
Let h be 2 - 3/((-3)/355). Let z be (-530 + 529)*(-17)/(-7)*-7. Calculate the highest common divisor of h and z.
17
Let x(m) = m**2 - 55*m + 4361. Let i be x(0). Calculate the highest common divisor of i and 49.
49
Let o(d) = -11*d**2 - 92*d - 8. Let k be o(-8). Let h = -6 - -15. Calculate the highest common factor of k and h.
3
Suppose 34*k - 32021 = 110949. Calculate the highest common factor of 580 and k.
145
Suppose -95 = -2*y + 35. Suppose 170*v = 173*v - 5*r - 1340, 0 = 2*v + 5*r - 935. What is the highest common divisor of y and v?
65
Suppose a - 16 = -3*a. Let y be 0/(-3 + a - 4). Suppose -t + 5*l - 5 = -14, -3*l - 3 = y. What is the greatest common factor of t and 1?
1
Suppose -4*a + 10993 = -5*s, -2*s = -0*s + 2. Suppose 40*y = 2693 + a. Calculate the highest common factor of 8 and y.
8
Suppose -63*h + 29553 + 32047 = 14*h. Let w = 68 - 4. What is the highest common factor of h and w?
32
Let s be (108/3)/(-3 - -5). Suppose 15*i - s*i + 15 = 0. What is the highest common factor of i and 235?
5
Suppose 3*q - 4*l = 36, -7*q + 8*q - 4*l = 4. Suppose -q - 14 = -2*j + 5*o, -4*o + 75 = 5*j. Calculate the highest common divisor of 20 and j.
5
Let w(i) = 718*i - 476. Let q be w(2). What is the greatest common divisor of 1344 and q?
192
Let x = 1111 + -1076. What is the highest common factor of 6335 and x?
35
Let f be (5594/2 - -3)*190/76. What is the highest common divisor of 56 and f?
56
Suppose 2*n - 1 = 4*t + 3, 0 = 4*n - 4*t - 16. Let y = 331 + -319. What is the greatest common divisor of y and n?
6
Let n be 31/6*(318/(-530) + 126/10). What is the greatest common factor of n and 4123?
31
Suppose -6*q + 60 = 6*q. Suppose -2*n = -9*c + 10*c - 53, -2*n - q*c = -57. What is the highest common factor of 39 and n?
13
Let z be 10/(30/9) + 3*1. Suppose -5*o + z*o = -3*g - 119, 4 = g. Let x = o - -163. Calculate the greatest common factor of 2 and x.
2
Let g(b) = 12*b - 129. Let p be g(11). Suppose -p*s - 3*m + 57 = 0, 2*m = 5*s - 2*m - 122. Calculate the highest common factor of 143 and s.
11
Suppose -196*h + 145893 = -49712 + 50565. Calculate the greatest common factor of 2516 and h.
148
Let h(n) = 22*n - 505. Let g be h(64). What is the highest common factor of 21 and g?
21
Let l = -3882 - -5934. Calculate the highest common factor of l and 152.
76
Suppose -76*r = -64*r - 96. Suppose -r*b + 571 - 275 = 0. Let s be ((-2)/(-4))/(2/1628). What is the greatest common factor of s and b?
37
Let u(q) = q**3 - 7*q**2 + 6*q - 18. Let a be u(7). Let l be (-78)/a*(5 - 3 - 62). Calculate the highest common divisor of 13 and l.
13
Suppose 5*z - 3*z - 3246 = -s, -3*s + 4*z + 9708 = 0. Suppose 19*p - 37*p = -s. Calculate the greatest common divisor of 54 and p.
18
Suppose 5*k + 8 = k, 4*m + 5*k + 2 = 0. Suppose 21 = -4*c + 4*d + 289, -m*c = d - 149. Calculate the highest common factor of c and 168.
24
Let n = -677 - -690. Suppose 1051 + 3837 = n*l. What is the greatest common factor of 24 and l?
8
Suppose 5*x = 2*s + 6832, 237*x = 238*x + 4*s - 1384. Let f(g) = g**3 - 3*g**2 - 15*g + 6. Let o be f(6). What is the highest common divisor of x and o?
24
Let r be 150/5*-23 + (-1 - 4). Let a = 723 + r. What is the greatest common divisor of 56 and a?
28
Let v(t) = -59*t + 22. Let g be v(3). Let w = g - -185. Calculate the highest common divisor of w and 20.
10
Let q be (5 - 138/42)*(1 - -41). Suppose 160 = 21*a - 11*a. Suppose -5*k + 24 = -a. Calculate the highest common factor of k and q.
8
Suppose -3*p - 15 = 0, 10*p = d + 6*p - 57. What is the greatest common factor of d and 4?
1
Let y = 40857 + -37045. Calculate the highest common factor of 4 and y.
4
Suppose -2*s + 3*m - 184 = -0*s, 0 = 5*s - 4*m + 467. Let o = 103 + s. What is the highest common factor of 136 and o?
8
Suppose 0 = -191*j + 188*j + 30. Suppose -40 = -3*f + 2*o, -j = 2*f - 2*o - 36. Calculate the greatest common factor of f and 448.
14
Let z = -32 - -182. Let c be (-36)/(-15)*(z/4)/15. Calculate the greatest common factor of 81 and c.
3
Let b be 208/(-1352) + -2*(-123866)/26 - -6. What is the highest common factor of 14 and b?
14
Suppose -n + 104 = 5*c, 274*c - 272*c = -5*n + 543. Suppose 0 = x - 45 + 142. Let o = x + n. Calculate the highest common divisor of 16 and o.
4
Let i be -15*15*252/(-150). Calculate the highest common factor of i and 56.
14
Let i(p) = 1155*p + 2489. Let a be i(-2). Calculate the highest common divisor of 23449 and a.
179
Let u be 11/(-55) + (-5224)/(-20). What is the greatest common divisor of 493 and u?
29
Suppose 18 = 4*g - 30. Let h(k) = 8*k - g - 12*k - 10*k - k**2. Let m be h(-12). What is the highest common divisor of 8 and m?
4
Let g = 3435 + -3279. What is the highest common factor of 1196 and g?
52
Let z = 13 - -12. Let f = 6 + -3. Suppose 71 - 888 = -f*k + 2*n, -k - 5*n = -295. Calculate the highest common divisor of z and k.
25
Suppose 2*i = 7*a - 516, -14*a + 366 = -9*a - i. What is the greatest common factor of a and 5400?
72
Suppose -5*j + 2*s = -1114, 3*s = -6*j + 6*s + 1335. Let p = 37 - -33. What is the highest common divisor of p and j?
14
Let y = 4455 - 3729. Calculate the highest common divisor of 6 and y.
6
Let h = 4650 + -4603. What is the highest common divisor of h and 73?
1
Let y = -49 - -65. Suppose 0 = -3*r - r + y. Suppose -2 = 2*q, -r*h + 5*q - 6 = -51. Calculate the highest common divisor of 4 and h.
2
Suppose -37320 = -220*x - 402*x. Suppose -q = -36 + 12. What is the highest common divisor of x and q?
12
Suppose -2*l + 49 = d - 15, -2*l - 152 = -2*d. Suppose 8*m = 3*m + 4*v + 169, -5*v = 4*m - 168. Let h = 55 - m. What is the highest common factor of h and d?
18
Let h = -122 + 134. Suppose -238*p = -235*p - h. Suppose 4*i - 64 = -p. Calculate the highest common divisor of i and 195.
15
Suppose 2*q - 91 = 5*a, -4*q = 3*a + 30 - 277. Suppose -4*o + 5*p = -340 + 2, 4*o + 2*p - 352 = 0. What is the highest common factor of o and q?
29
Suppose 0 = -z + 35 - 14. Suppose 5034*f = 5029*f + 3*p + 1365, -p + 3003 = 11*f. What is the highest common divisor of z and f?
21
Let v(n) = n**2 + 4*n + 15. Let x be v(-6). Suppose -p + x = 18. Let k = -13 + 16. What is the highest common factor of k and p?
3
Let x be 1 - ((-92)/460 - (-248)/(-10)). What is the highest common factor of x and 494?
26
Let x(h) = -266*h**3 - 47*h**2 - 153*h + 8. Let j be x(-4). What is the greatest common factor of 103 and j?
103
Let i be 1*(17/((-1530)/(-72)) - 102/(-10)). Let p = -6 - -8. Suppose n = p*n - 1. 