1). Let u = -1 - w. What is the highest common factor of 56 and u?
7
Let c(h) = -h**3 - 8*h**2 - 20*h - 6. Let g be c(-3). What is the greatest common divisor of 108 and g?
9
Suppose 5*n + 4*b + b = 80, -n - 3*b = -12. Calculate the highest common factor of n and 144.
18
Let t = -47 + 78. Suppose -2*l + 19 = z, 4*z = -t + 11. What is the greatest common factor of 42 and l?
6
Let d = -68 + 86. Let o = 6 + -2. Let v = 23 + o. What is the highest common factor of d and v?
9
Let t(o) = o**3 + 16*o**2 - 18*o - 1. Let d be t(-17). Let w be (0 - 2)*(1 + -3). Suppose -303 - 17 = -w*n. What is the highest common divisor of d and n?
16
Suppose 42*c - 195 = 41*c. Calculate the greatest common factor of 5 and c.
5
Let d = 960 - 936. What is the highest common divisor of 66 and d?
6
Let h = 24 - 0. Let r = h + 17. What is the highest common factor of r and 82?
41
Let a = 88 + -1. Calculate the highest common divisor of a and 145.
29
Let l = 82 - 52. Calculate the highest common divisor of 30 and l.
30
Suppose 2*j + 2*y - 12 = 0, 2*y + 14 = j - y. Let z be j/(4/14 + 0). What is the highest common divisor of z and 7?
7
Suppose a - 44 = -4*j + 22, j = a - 51. Let r = 1 + 5. Calculate the highest common divisor of a and r.
6
Let x = -30324 + 30588. Let g(l) = 4*l**2 - 3. Let i be g(3). Let p = i - 0. Calculate the highest common divisor of p and x.
33
Let v = 31 - 34. Let c(l) = 3*l**2 + 6*l - 2. Let x be c(v). What is the greatest common factor of 49 and x?
7
Let r = 215 + -198. Calculate the greatest common divisor of 51 and r.
17
Suppose 0 = -4*h + 1 + 15. Suppose 5 = h*l + l. Suppose 0 = -5*o + 2*o + 24. Calculate the greatest common divisor of o and l.
1
Suppose -k + 2 = -z, 2*k + 3*k - 2*z - 13 = 0. Let q be 1371/9 - (-2)/k. Let g be 19 - (3 + (-2 - -1)). Calculate the highest common factor of g and q.
17
Let x be 3/15 - (-6)/(-5). Let y = x + 6. Let n be 80/(11/(66/12)). What is the highest common divisor of n and y?
5
Suppose 157 = 4*y - 5*r + 10*r, -3*r + 15 = 0. What is the greatest common factor of y and 759?
33
Let k(h) = -73*h - 2. Let n be k(-3). Suppose -274*r + 14043 = 179*r. What is the highest common factor of n and r?
31
Let t(w) be the first derivative of 2*w**3/3 + 11*w**2 + 16*w + 17. Let d be t(-11). What is the highest common divisor of 12 and d?
4
Let r = 10 + 0. Suppose -10*d = 4*d - 70. Calculate the greatest common factor of r and d.
5
Suppose 4*z - 2*t = -z + 12, 3*t = -3. Let l be 12/(-3) + 4 + 5. Suppose 10*f = -l + 35. Calculate the highest common factor of f and z.
1
Let b(d) = 7*d**2 - 4*d + 37. Let r(p) = p + 1. Let t be r(6). Let j be b(t). Calculate the greatest common factor of j and 44.
44
Let f be (-1)/1 - 39/(-1). Let l(r) = 6*r**2 + 2*r + 2. Let u be l(-5). Let j = u + f. Calculate the greatest common divisor of j and 20.
20
Let o = 120 - 116. Suppose -5*c + o*c - 4 = 0, -3*y - 3*c = 3. What is the highest common factor of 57 and y?
3
Suppose 0 = 9*v - 18 - 0. Calculate the highest common factor of v and 32.
2
Let x be (30/(-8) + 0)*32/(-4). What is the highest common factor of x and 165?
15
Let a = -2910 + 3216. What is the highest common factor of 272 and a?
34
Let b(f) = -61*f**3 - 3*f - 2. Let s be b(-1). What is the highest common divisor of 62 and s?
62
Suppose -4*k = -13*k + 2025. Calculate the highest common factor of k and 27.
9
Suppose -12 = -4*n + 2*g, n + 10 = -2*g + 3. Let f = 72 + -72. Suppose 4*h - 4 = 2*j, -h + f = -2*j - 1. Calculate the greatest common divisor of h and n.
1
Let q = -635 - -322. Let j = -145 - q. Calculate the highest common divisor of j and 21.
21
Let o(v) = v**2 + 10*v - 21. Let a be o(-15). Calculate the greatest common factor of a and 243.
27
Let g = 64 - 64. Suppose 6*w - w - 300 = g. What is the greatest common factor of w and 15?
15
Suppose 3*w + 3*p - 162 = 0, -4*w - 3*p + 239 = 21. What is the highest common factor of w and 3752?
56
Let l(h) = -3*h**2 + 65*h - 29. Let x be l(21). Calculate the highest common divisor of 13 and x.
13
Let k = 23 + -21. Let m be 3*k/(6/43). Calculate the greatest common factor of m and 172.
43
Let w(q) = q**2 - 3*q - 5. Let u be w(5). Suppose -u*d + 225 = -685. Calculate the greatest common divisor of 26 and d.
26
Suppose 3*d - 59 = -20. Suppose 0 = 5*t - 12 - 28. Let r = 5 + t. What is the highest common divisor of d and r?
13
Let r(y) = y**2 - 14*y + 8. Let b be r(-7). Let w be 4/(-10) + (-312)/(-5). What is the greatest common divisor of w and b?
31
Let u = -138 - -358. Suppose -4*b - u = -8*b. Calculate the highest common factor of b and 22.
11
Suppose 3*q + 20 = 7*q, -2*q = -3*k - 4. Let z(y) = 2*y - 1. Let h be z(k). Suppose 0 = -2*o + 49 + 5. What is the greatest common divisor of o and h?
3
Suppose 3*j - 60 = -0*j. Let n be (3 + -2)/(7/420). What is the highest common divisor of n and j?
20
Let d(i) = 4*i**2 - 25*i - 240. Let z be d(-8). What is the greatest common factor of 180 and z?
36
Let a = 68 + 30. Let m = a - 54. Calculate the highest common factor of 11 and m.
11
Suppose -15*u - 882 = -36*u. What is the greatest common divisor of u and 126?
42
Let b(l) = -l**2 + 2*l + 2. Let y be b(0). Suppose 76 = y*p - k, -4*p - 5*k = -158 - 22. Calculate the greatest common divisor of p and 5.
5
Let s = -64 + 86. Suppose -5*o - 3*c + 4 = 0, -3 + 15 = 5*o - c. What is the highest common divisor of o and s?
2
Suppose -5*k - 4*m + 27 = 0, -4*m + 4 = -6*m. Calculate the greatest common factor of k and 301.
7
Suppose -39 = -4*n - 4*m + 325, -5*n + 2*m + 448 = 0. Let l = -14 - -32. What is the greatest common factor of n and l?
18
Let u = -19 - -42. Calculate the highest common divisor of 529 and u.
23
Let h(q) = -q + 28*q**2 + 1 - 13*q**2 + 42*q**2. Let s be h(1). Suppose 3*w = 15 + s. Calculate the greatest common factor of 16 and w.
8
Let v = -5 + 9. Let x(u) = 3*u**2 + 17*u - 4. Let w be x(-6). Suppose 0 = w*o - 3 - 21. Calculate the greatest common divisor of v and o.
4
Suppose -12 + 8 = -q. Suppose 0 = -6*m + 8*m - q. Suppose m*x = 4*x - 20. What is the highest common divisor of x and 70?
10
Let y(o) = -39*o + 41. Let q be y(-2). What is the greatest common factor of 391 and q?
17
Let j(z) be the third derivative of 7/24*z**4 + 0 + 0*z + 1/60*z**5 - 5/3*z**3 - 7*z**2. Let o be j(-10). What is the greatest common factor of o and 5?
5
Let v = 51 - -587. What is the highest common divisor of 44 and v?
22
Suppose -59*c + 11464 = -152084. Calculate the highest common factor of 77 and c.
77
Let l(b) = b**2 + 4*b + 15. Let p be l(6). What is the highest common factor of 180 and p?
15
Suppose 19627 + 19253 = 96*a. What is the highest common factor of 243 and a?
81
Suppose -5*v + 72 = -4*v. Let r = 166 + -142. Calculate the greatest common factor of v and r.
24
Let m(y) = 6*y**2 + 2*y + 8. Let t be m(-7). Calculate the highest common divisor of t and 16.
16
Suppose 0 = -2*k - 2*r + 110, 4*k + 4*r = 5*k - 70. What is the highest common factor of 58 and k?
58
Let r = 17 + -14. Suppose -z = -5*p + 62, -3*p - r*z + 35 = 5. Calculate the greatest common factor of p and 108.
12
Suppose -4*x + 234 = 66. Let v be (-208)/(-5) + (-38)/(-1045)*11. Calculate the highest common divisor of v and x.
42
Let r(h) = -31*h - 8. Let n be r(-2). Suppose -56*z + n*z + 6 = 0. What is the highest common divisor of 4 and z?
1
Let i(m) = -m**2 - 5*m + 87. Let j be i(0). Let k be ((-174)/(-15))/((-2)/(-10)). Calculate the greatest common factor of j and k.
29
Suppose 3*v = -v + 40. Suppose -16*x + 1181 + 419 = 0. Calculate the highest common factor of v and x.
10
Let w(k) = k**3 - 7*k**2 + 3*k + 6. Let d be w(7). Suppose l - 39 = -a + 258, -5*a = -3*l - 1485. Calculate the greatest common factor of a and d.
27
Let r be (29 + -2)*70/14. What is the highest common factor of 30 and r?
15
Let k be (24/16)/((-6)/(-16)). Suppose -184 - 56 = -k*x. Calculate the greatest common factor of 15 and x.
15
Let c = -41 + 20. Let x = c - -48. What is the greatest common factor of x and 108?
27
Let g = -24 - -22. Let c be g/(-3) - 156/(-9). Let d = c - 7. What is the highest common factor of 99 and d?
11
Suppose 2*z + 19 - 49 = 0. Let u = 70 - 373. Let n = -183 - u. Calculate the greatest common divisor of n and z.
15
Let g(a) = -a. Let k be g(-5). Suppose -4 = k*p - 9. Let n = 11 + p. Calcu