. Calculate the highest common divisor of u and 30.
30
Let c(q) = q**3 + 6*q**2 - 7*q + 4. Let y be c(-7). Suppose -y*t + 6 = -2. Let m be 0/(-3) + (34 - t). What is the highest common divisor of 8 and m?
8
Suppose 4*j + 4*c = 24, -3*j + c + 14 = -0*j. Suppose 7*h = 2*h + j. What is the highest common factor of 1 and h?
1
Suppose -3*w = -2*q - 116, 2*w + 76 = 4*w - q. Calculate the highest common divisor of w and 60.
12
Let o = 156 - -332. Calculate the highest common factor of o and 8.
8
Let s be 6/8*1176/18. Calculate the highest common factor of 2107 and s.
49
Suppose -72 = 4*b - 264. Suppose 8*z = 11*z - b. Let w = 2 + z. Calculate the highest common factor of w and 144.
18
Suppose 0 = -5*x + 50 - 15. Let k = 36 - 27. Suppose 0 = 6*r - k*r + 189. What is the highest common divisor of x and r?
7
Let i(p) = 179*p + 2. Let k be i(1). Let y = 381 - k. What is the greatest common divisor of y and 20?
20
Let q be ((-8)/6)/(3/(-9)). Suppose 8*u - q*u = 88. Let m = u + 4. What is the highest common divisor of m and 52?
26
Suppose -11*c - 6*c = -2193. Calculate the greatest common factor of 43 and c.
43
Suppose 0*z = -4*z + 76. Suppose 2*t = 5 + 1. Suppose 14 = t*u - 43. What is the highest common divisor of u and z?
19
Suppose -2*k - 40 = -v, -3*v - 4*k = -1 - 159. Suppose -5*a + 19 + 31 = 0. Suppose -9*x + a*x = 24. What is the highest common factor of x and v?
24
Let m be (1*2)/((-6)/(-9)). Suppose 0 = -m*k - 2 + 5. Let o(b) = -b + 6. Let s be o(3). Calculate the highest common factor of s and k.
1
Let x = -113 - -118. Suppose x*a - 287 = -3*r - 114, -4*a - r + 137 = 0. Let p be (12/5)/(4/510). What is the highest common divisor of p and a?
34
Let r(y) be the third derivative of -y**6/120 - 13*y**5/60 - y**4/12 - 5*y**3/6 - 6*y**2. Let t be r(-13). What is the highest common divisor of t and 105?
21
Let a = 7 - 7. Suppose -4*r - 68 + 24 = a. Let x = r - -15. What is the highest common divisor of x and 28?
4
Suppose 3*n - 39 = -2*a, 5*n - 2 = a + 50. Let h = 16 - n. Suppose 3*u + 10 = h*u. What is the greatest common factor of u and 5?
5
Let g be ((-247)/26 - 7)*2/(-3). Calculate the highest common factor of 1 and g.
1
Let p be ((-60)/(-45))/((-8)/(-6)). Let u be 9 - 0/(-1 - -2). Calculate the greatest common divisor of p and u.
1
Let l be (24/5)/((-48)/3960*-11). Let s(i) = -i**3 - 4*i**2 + 4*i + 7. Let z be s(-5). Calculate the highest common factor of z and l.
12
Let q be (-5)/(-10) - (18277/(-14) - -6). What is the greatest common factor of 52 and q?
52
Let y = 2 - 1. Suppose 2*c + 125 = -3*s, -314 = 5*s + 5*c - 99. Let j = -28 - s. What is the highest common divisor of y and j?
1
Let k(a) = 11*a - 40. Let t be k(6). Calculate the highest common divisor of 13 and t.
13
Let n(i) = 26*i**3 - 3*i**2 - i + 4. Let s be n(1). What is the highest common factor of 507 and s?
13
Suppose 4*s = -3*c + 74, 0 = -5*s + 5*c - 4*c + 83. Let r = s + -13. Suppose r*n - 395 - 613 = 0. Calculate the greatest common factor of n and 28.
28
Let g be 9/(-2)*(-560)/120. Suppose 0*v - 2*v - t = 664, -3*v - 3*t = 993. Let j = 564 + v. Calculate the greatest common divisor of j and g.
21
Suppose -3*g = 5*t - 757, 3*t - 454 = -17*g + 15*g. Calculate the greatest common divisor of 38 and t.
38
Suppose -212 = -2*p - 172. What is the greatest common divisor of 140 and p?
20
Suppose 100 = 2*q - 96*f + 95*f, -5*q + 4*f = -256. Calculate the highest common divisor of 15 and q.
3
Suppose 16*t = 2972 - 412. Suppose 50*a - 46*a - t = 0. What is the highest common divisor of 40 and a?
40
Suppose 359 + 126 = 5*g. Let a = g + -27. Suppose 7*n - 2*n + a = 2*b, -b + 38 = -4*n. Calculate the greatest common divisor of b and 12.
6
Let j(r) = -r**3 - 14*r**2 + 10. Let m = 1 - -16. Let i = m - 31. Let f be j(i). Calculate the greatest common factor of f and 4.
2
Let g be (36/5)/(1/(40/(-12))). Let v be 2/(g/(-162)) + (-2)/4. What is the highest common factor of v and 78?
13
Suppose 0 = 5*a - 2*a - 3. Let n be (-25 - a) + 4*-1. Let b be (-2)/(-4) + (-75)/n. What is the greatest common divisor of b and 21?
3
Let o = 58 + 96. Let w(t) = t**3 - 3*t + 6. Let s be w(2). Let h be (s - -10) + (-1 - 3). What is the greatest common factor of h and o?
14
Let z(i) = 2*i**2 - 14*i - 12. Let k be z(8). Suppose 0 = 3*m + f - k*f - 489, 0 = -5*m + f + 803. Calculate the highest common factor of m and 64.
32
Let p(r) = r**2 - 45*r - 476. Let t be p(54). What is the greatest common divisor of 14 and t?
2
Let u be (-8)/6*84/(-56) - -136. Calculate the highest common factor of u and 46.
46
Let t(n) = -79*n - 308. Let c be t(-7). What is the greatest common divisor of c and 539?
49
Let z(v) be the second derivative of v**5/20 + 17*v**4/12 + 5*v**3/2 - v**2/2 - 15*v. Let j be z(-16). Calculate the greatest common factor of j and 15.
15
Let a(i) = i**2 - i + 6. Suppose 9*s - 10 = 44. Let c be a(s). What is the highest common divisor of 60 and c?
12
Let f = -20 - -74. Suppose 0 = 4*m + 3*t - f, 2*m - 4*t = 10 + 6. Calculate the greatest common divisor of 2 and m.
2
Suppose 108 = 19*u - u. What is the highest common factor of u and 12?
6
Suppose 36 = o + 5*m - 10*m, -4*o - 4*m + 96 = 0. Calculate the greatest common divisor of 2 and o.
2
Let m = 699 - 685. What is the highest common divisor of m and 2?
2
Suppose 11 = 4*j + 3. Suppose -j*d - 156 = -5*d. Suppose v - d = -v. Calculate the highest common divisor of 39 and v.
13
Suppose 6*b = 8*b - 10. Suppose b = -d + 2*p, d = -0*d - 4*p - 23. Let n be -1*(-1 + 0) - d. Calculate the greatest common factor of 4 and n.
4
Let k = 12 - 10. Suppose -2*u - l = -270, 0 = 2*u + u + k*l - 404. Calculate the greatest common divisor of u and 8.
8
Let t = -22 - -35. Let s be 63*2/(-3) - 5. Let z = t - s. What is the greatest common factor of z and 150?
30
Suppose -2*g + 3205 = -3*h, 5*g + 43*h = 44*h + 7993. Calculate the greatest common divisor of 34 and g.
34
Let k = -569 - -570. What is the highest common divisor of 27 and k?
1
Let m(a) = -a - 5. Let u be m(-7). Let r = 132 - 106. What is the highest common factor of r and u?
2
Suppose 0 = -5*f - 8 - 7. Let g be ((-80)/56)/(f/105). What is the greatest common divisor of g and 10?
10
Suppose h + 2*k = 0, -h + 3*k = 4*h. Suppose h = -n + 19 + 71. Suppose -4*i - i = -n. Calculate the highest common factor of 144 and i.
18
Suppose w = -0*c + 5*c + 102, -c = -3. Suppose -4*a = v - 21, -3*a - 73 = -5*v - 14. What is the greatest common divisor of v and w?
13
Let a(p) = -4*p**2 - 31*p + 1. Let o be a(-7). Calculate the greatest common factor of 55 and o.
11
Let x be (27/(-36))/((-2)/48). Let f = -22 + 25. Suppose 2*u + f*u = 630. What is the highest common factor of x and u?
18
Let w = 37 - 36. Suppose -5*t = -49 - w. What is the greatest common factor of 2 and t?
2
Suppose -3*y - 30 = -2*q, 3*q - 14 = -y + 53. What is the highest common factor of q and 3?
3
Suppose 5911 = 92*m - 89*m + i, 0 = -2*m + 2*i + 3946. Calculate the highest common divisor of m and 27.
27
Let o(q) = 4*q - 17. Let l be o(12). Let k = l + -22. Suppose 2*d + n = k, -d + 5*n - n + 27 = 0. Calculate the greatest common factor of 28 and d.
7
Let w = -1821 - -1839. Calculate the greatest common factor of w and 12.
6
Let a(c) = 3*c**3 - 38*c**2 + 22*c + 31. Let p be a(12). Calculate the greatest common divisor of p and 511.
7
Suppose -2*w - 34 = -7*w + 2*j, -4*w = -3*j - 30. Let g be -4 - 2/w*-3. Let a be (-1 - g)*(-15)/(-6). Calculate the highest common factor of 45 and a.
5
Let u be 2/((-2)/198*-6). Let w be (-2)/4 - (-2)/4. Suppose w*r + v - 2 = -r, 10 = 2*r - 4*v. What is the greatest common factor of u and r?
3
Suppose 5*s - c - 206 = c, -s + 50 = 4*c. Suppose 5*z + 51 = 3*n, -s = -3*n - 0*n + 2*z. What is the greatest common factor of n and 24?
12
Let i(q) = -q**3 - 59*q**2 - 57*q + 92. Let y be i(-58). Calculate the greatest common divisor of y and 2.
2
Let m(n) = n - 15. Let w be m(14). Let d be (w + 3 - 0) + 3. Calculate the greatest common divisor of d and 45.
5
Let v(d) = d**2 + 5*d - 3. Let m be v(-6). Let t(h) = 2*h**2 + 2*h - 4. Let q be t(m). Suppose -4 - 16 = -4*y. Calculate the highest common divisor of q and y.
5
Let c = 10 + -8. Let i be 1 + (1 - (-4)/c). Suppose -i + 14 = 2*u. Calculate the greatest common factor of 35 and u.
5
Let l = -109