ose -2*v + 43 = -3*w, v + w = 6*w + 11. Calculate the highest common divisor of d and v.
13
Let z(y) = 12*y**2 + 4*y + 3. Let n be z(-3). Suppose -4*m = -19 - 17. What is the highest common factor of n and m?
9
Let u(j) = -j**3 + 4*j + 21*j - 19*j + 1 - 5*j**2. Let w be u(-6). What is the highest common divisor of 8 and w?
1
Let b be (73 - -2)*(1 + 0). Let v be (-10)/b + 910/75. What is the greatest common divisor of v and 3?
3
Let t be (-18)/21 + (-9198)/(-98). Calculate the highest common divisor of t and 124.
31
Suppose -3*h + 48 - 9 = 0. Calculate the highest common divisor of 91 and h.
13
Suppose 2*f - 17 = 2703. Calculate the greatest common divisor of 80 and f.
80
Let t(b) = -10*b - 19. Let o be t(-3). Calculate the greatest common factor of 121 and o.
11
Let v(n) = -171*n**3 - n**2 - 6*n - 1. Let h be v(-2). What is the highest common factor of h and 250?
125
Suppose -28*p + 1683 + 1397 = 0. Calculate the greatest common divisor of 66 and p.
22
Let k(o) = o**2 + 7*o + 2. Let n be k(-5). Let b be (-130)/n - 4/16. Calculate the greatest common divisor of 32 and b.
16
Let d = 1179 + -1095. Calculate the highest common factor of 1386 and d.
42
Let t = 74 - 56. Calculate the greatest common divisor of t and 144.
18
Let q = 3761 - 2211. Suppose 3*s = 8*s - m - q, 4*s = 5*m + 1219. Suppose -185 = -2*h + s. Calculate the highest common factor of h and 31.
31
Let a = -1468 - -1483. Calculate the greatest common factor of 405 and a.
15
Suppose g = -5*c + 165, 0*g = -c - 2*g + 24. What is the greatest common factor of 306 and c?
34
Suppose 2*m = -x + 209, 3*x - 5*m = -2*x + 1000. Calculate the highest common factor of x and 87.
29
Suppose -4*o = 5*i - 27, -3*o = -4*i + i. Let t(n) = n**3 + 6*n**2 + n - 11. Let q be t(-5). What is the greatest common divisor of q and i?
3
Let p(i) = 6*i**3 + i**2 - 1. Let k be p(-1). Let r be 4/k - (-14)/3. Suppose 0*m = m - r. Calculate the highest common factor of m and 10.
2
Let k(a) = 5*a + 25. Let t be k(5). What is the greatest common divisor of 75 and t?
25
Suppose -g = -4*l + 40, 2*l - 4*l - g + 14 = 0. What is the greatest common factor of l and 96?
3
Suppose 1364 + 964 = 6*o. Suppose -5*f + o = 4*y, 1 + 2 = -y. What is the highest common factor of f and 48?
16
Let o = 67 - 43. Let a(c) = 2*c**2 + c + 33. Let u be a(-11). What is the greatest common divisor of o and u?
24
Suppose -2*s + 2244 = 2206. What is the highest common factor of s and 475?
19
Suppose 22*q - 23*q - u + 62 = 0, 4*u + 8 = 0. Calculate the highest common divisor of q and 800.
32
Let w(p) = -2*p**3 - 4*p**2 - p + 2. Let y be w(-2). Let l(m) = -y*m + 2 - 2*m - 1 + 4*m. Let v be l(-6). What is the highest common divisor of v and 117?
13
Let l(k) = -k - 11. Let q be l(-4). Let z(y) = y**2 + 8*y + 4. Let s be z(q). Let w be (s + 10)/(1 - 0). What is the greatest common divisor of w and 14?
7
Suppose 4*v - 136 = 4*c, -v + c + 22 = 6*c. Suppose -3*a + 94 = 2*z, -a - a + 4*z + 68 = 0. What is the greatest common factor of v and a?
32
Let j = -5 - -6. Suppose -4*l + l = -5*p + 248, l = -j. Calculate the highest common factor of 7 and p.
7
Let s = -32 + 76. Suppose 70*j = 2*i + 75*j - 13, 0 = 4*j - 4. Calculate the greatest common factor of s and i.
4
Let s = 57 - 53. Calculate the greatest common factor of 64 and s.
4
Let i(y) = -8*y**2 + 121*y - 22. Let n be i(14). What is the highest common divisor of n and 88?
8
Let f be 74/(-8) - (-3)/36*-9. Let b be (-6531)/(-35) + (2 - (-16)/f). Calculate the highest common divisor of 17 and b.
17
Suppose -5*c = 2*v - 429 - 411, -4*v - 168 = -c. Calculate the greatest common divisor of c and 63.
21
Let c = 583 + -423. What is the highest common factor of c and 140?
20
Suppose 2*d = 2 + 4. Suppose -6 = -n - d. What is the greatest common factor of 21 and n?
3
Suppose 4*c - 14 - 6 = 0. Let q be (35/(-10) + 3)*-10. Calculate the highest common divisor of c and q.
5
Let c(y) = -2*y**2 + 10*y + 8. Let r be c(7). Let v be (9/4)/((-15)/r). Let i be ((-4)/v)/(40/(-780)). Calculate the highest common divisor of i and 78.
26
Let z = 116 - 122. Let n be 956/3 + (-8)/z. Calculate the greatest common factor of n and 20.
20
Let z be (15/40)/(-1) - 3735/(-40). What is the highest common factor of 124 and z?
31
Let p(t) = 4*t + 304. Let q be p(-22). Calculate the greatest common factor of q and 16.
8
Let r = 439 - 190. Let k = -123 + r. What is the highest common divisor of 14 and k?
14
Suppose 0 = 5*o - 3*y - 25 - 31, 0 = 5*y + 10. Let h(d) = -d**3 - 72*d**2 - 71*d + 10. Let a be h(-71). Calculate the greatest common divisor of a and o.
10
Suppose 3*l - 4*l = -4. Suppose 0 = -4*f - 2*n + 1300, l*f - 1288 = -0*n + 4*n. Calculate the highest common factor of 12 and f.
12
Suppose 0 = a + 9 + 12. Let f = a + 27. Calculate the highest common factor of 4 and f.
2
Let q(s) = s**3 + s**2 - 4*s + 4. Let n be q(3). Let f be (56/49)/(8/28). Calculate the greatest common divisor of f and n.
4
Let t = -21 - -27. Let h(l) = -l**3 - 16*l**2 - 5*l - 38. Let o be h(-16). What is the highest common factor of o and t?
6
Let a(y) = 33*y - 3. Let x be a(2). Let r(q) = -q**2 - 10*q + 7. Let v be r(-10). What is the highest common factor of x and v?
7
Let g(x) = -3*x - 28. Suppose 3*l = 2*y - 45, -3*y - 11 = 2*l + 2*y. Let v be g(l). Calculate the highest common divisor of 2 and v.
1
Suppose 190 = o + 4*q, 43*o - 5*q - 604 = 40*o. Calculate the greatest common factor of o and 22.
22
Suppose 10 = -12*b + 17*b, -456 = -5*v + 2*b. Calculate the highest common divisor of v and 552.
92
Let s be 9 + -4*2/(-8). Let n(c) = c. Let v be n(s). Suppose 0*f - 5*p + 100 = f, 5*f + 5*p = 420. What is the highest common divisor of f and v?
10
Suppose 4*a - 7*a + 525 = 0. Suppose 178 = 5*c + 3*q, c + 20 = -3*q + 58. Calculate the greatest common factor of a and c.
35
Suppose 469 = 3*c + 91. What is the greatest common factor of 168 and c?
42
Let q(z) be the first derivative of z**3/3 - 3*z**2/2 + 3*z - 2. Let o be q(5). Suppose 4*a - 470 + 54 = 0. What is the highest common factor of o and a?
13
Suppose -295 + 83 = -h - 4*i, 5*h + 3*i = 975. What is the greatest common factor of h and 240?
48
Let f(x) = -4*x + 77. Let n be f(16). Suppose -52 = -w - 3*w. Calculate the highest common factor of n and w.
13
Let i be (153/(-36))/(1/(-8)). Let m = 22 - 60. Let z = -21 - m. What is the highest common divisor of i and z?
17
Suppose 2*s = -1 - 1. Let j be 32 - (s - 0/(-2)). Let q(k) = 503*k - 6528. Let w be q(13). What is the greatest common divisor of w and j?
11
Let o be (0 + 2)/(192/672). Let r = 3 + 4. What is the highest common divisor of o and r?
7
Let j be (-339)/(-7) + (-3)/7. Suppose -2*p + 12 = -j. What is the greatest common divisor of 20 and p?
10
Let n = 74 - 70. Let i(s) = 3*s**3 + 2*s**2 + 8*s. Let f be i(n). Calculate the greatest common divisor of 16 and f.
16
Suppose -2*g = l - 123, 11*l = 16*l + 25. Calculate the highest common divisor of 1856 and g.
64
Suppose 3*y = -3*w + 1098, 3*w - 6*y = -5*y + 1118. What is the highest common factor of 53 and w?
53
Let t = 15 - 28. Let u = t + 9. Let o = 73 - u. Calculate the highest common divisor of o and 7.
7
Let s(l) = 51*l**2 + 6*l + 3. Let m be s(-2). What is the highest common divisor of m and 15?
15
Suppose -5*q + 175 = -0*q. Let r = -17 + q. Suppose 36 = 2*n + 2*p, 0 = 3*n - 2*p - 33 - 21. What is the highest common divisor of n and r?
18
Let y be 3/6*(11 + 3). Suppose v = 5*f - 118, f - 4*v - y = 9. Suppose 3*h - 36 = g, -4*h = -2*h - g - f. Calculate the highest common factor of h and 24.
12
Let o = -31 - -436. Let c be (2/(-3))/((-15)/o). What is the greatest common divisor of 72 and c?
18
Suppose 131 = -5*z - 29. Let l = -16 - z. Let b = 61 + -53. What is the greatest common factor of b and l?
8
Let y(k) be the second derivative of -k**5/20 + 3*k**3/2 + 2*k**2 + 19*k. Let h be y(-4). What is the highest common factor of h and 16?
16
Suppose 0*d = -2*d + 20. Let v = -233 + 243. Calculate the greatest common factor of v and d.
10
Let t be (-1 - (-56)/(-6))*-27. Calculate the greatest common divisor of t and 248.
31
Let y be (12/10)/(3/20). Suppose 46*i = 59*i - 26. What is the highest common factor of y and i?
2
Let s = -12 + 29. Suppose 2*j - 39 = -s. Calculate the highest common factor of j an