1
Let n(s) = s + 17. Let k be n(-5). Let q(p) = -p**2 + 13*p - 5. Let h be q(k). Suppose -3*m + 52 = -137. What is the highest common divisor of m and h?
7
Suppose 12 = c + 5*t, -2*c - 2*t + 13 = -3. Suppose 0 = -2*i + 2*r + 160, -6*r + r = -i + 92. Calculate the highest common divisor of c and i.
7
Let d be ((-429)/(-26))/(2/(-28)). Let z = -156 - d. What is the greatest common divisor of 30 and z?
15
Let w(x) = 8*x**2 + 18*x - 4. Let g be w(-5). Suppose -5*o - 3*r + g = -9, 3*r = -15. Calculate the greatest common factor of 234 and o.
26
Suppose 28*t = 32*t + 12, 208 = 4*n - 4*t. What is the greatest common divisor of 14 and n?
7
Let q = 18 + -19. Let u be (-33)/(-12) + q/(-4)*1. What is the greatest common factor of u and 21?
3
Suppose 0 = 7*f + 5 - 40. Suppose -f*g - 2*t - 242 + 1146 = 0, -3*t = -6. Calculate the greatest common factor of 9 and g.
9
Let d(c) = -c**3 + 6*c**2 + 4*c + 8. Let z be d(6). Let s be (1 - 1/4)*z. Let n be (4 - 1)/(1/1). What is the greatest common factor of n and s?
3
Suppose 0 = 307*r - 306*r - 21. Calculate the greatest common factor of r and 294.
21
Let f(k) = -k**2 + 2*k + 5. Let l be f(0). Let i be (5/2)/(l/(-10)). Let z(t) = -t**2 - 7*t - 1. Let r be z(i). Calculate the highest common factor of r and 72.
9
Let a = -32 + 38. Suppose -a*l + 4*l = -4. Calculate the highest common divisor of 2 and l.
2
Let c be (-3)/(-9) - 1 - 228/(-18). Let v(a) = a**2 - a + 30. Let f be v(0). Calculate the highest common divisor of c and f.
6
Let o = 11 - 8. Suppose -11*q = -o*q + 8. Let b(s) = -78*s + 2. Let a be b(q). Calculate the greatest common divisor of 20 and a.
20
Suppose 25 = -3*v - 35. Let r(f) = -f**2 - 25*f - 28. Let j be r(v). What is the highest common divisor of j and 8?
8
Suppose -h - 3*n + 702 = 0, 3*h + n - 2106 = -2*n. Calculate the highest common divisor of h and 54.
54
Let t be 2/((1 - (-26)/(-7)) + 3). Let q be (1*-2 - -2)/(-1). Suppose t - 2 = -s, q = -2*d - 2*s + 28. What is the greatest common divisor of d and 57?
19
Suppose -2*v = 3*d - 4*d - 3, -2*d + 15 = 3*v. Let t(s) = -5 + v*s + s**2 - 16*s - 2*s**2. Let m be t(-10). What is the highest common divisor of 225 and m?
25
Let x be 1 - (-5 - -1 - 0). Let u(k) be the second derivative of 5*k**3/6 - k**2/2 + 3*k - 17. Let t be u(x). What is the highest common factor of 8 and t?
8
Let r be (15 - 6)/(6/352). Calculate the greatest common divisor of r and 66.
66
Let a = -46 - -33. Suppose -17*y = -15*y + 30. Let m = a - y. Calculate the greatest common factor of 8 and m.
2
Let o be 16/(-9)*-3*(0 - -6). Let g be (((-90)/4)/3)/((-12)/o). Calculate the greatest common factor of g and 50.
10
Suppose 2*u + d = u, 5*d = -u. Suppose 2*f = -5*y + 31 + 1, -3*y + 5*f + 44 = u. Suppose -1 = 4*j - 33. Calculate the greatest common divisor of j and y.
8
Let m(j) = 2*j**3 - 20*j**2 - 4*j + 58. Let s be m(11). Calculate the highest common factor of 4 and s.
4
Let x be (-2 - 2*(-30)/21)*-7. Let r(m) = 3*m + 27. Let c be r(x). What is the greatest common factor of 9 and c?
9
Let q be (-7 + (2 - -5 - 4))*-1. Suppose -q*i = -12*i + 800. Calculate the greatest common factor of 20 and i.
20
Let l = -28 - -20. Let u = l + 12. Suppose 0 = -3*t + 4*y + 67, -7*t = -10*t - u*y + 35. What is the greatest common factor of 136 and t?
17
Suppose 0*z - z - 13 = -5*o, -4*z - 5*o = -48. What is the greatest common factor of 119 and z?
7
Suppose 4*s - 195 = 25. Let h be 10 - (91/(-7) + 12). What is the greatest common factor of h and s?
11
Let c(i) = -i**2 - 8*i - 9. Let k be c(-6). Suppose -k*n = -5*t - 148, -2*n + n + 42 = 2*t. What is the greatest common divisor of n and 46?
46
Let n be 1264/(-18) + (-2)/(-9). Let g be n/(-8) + 1/4. Suppose -130*h = 4*k - 134*h, 0 = -h + 3. What is the highest common divisor of k and g?
3
Suppose 210 - 82 = 2*j. Suppose -189*i = -201*i + 192. Calculate the highest common divisor of j and i.
16
Let l = 3 + 25. Let c = l + -17. Suppose 2*w - 275 = -3*w. Calculate the greatest common divisor of c and w.
11
Let u(k) = -5*k**3 - 7*k**3 + 6*k**2 + 6 - 3*k + 11*k**3. Let l be u(5). Suppose -34 = -t + l. Calculate the greatest common divisor of t and 25.
25
Let x = -41 - -44. Suppose 3*g - 357 = -x*f, f - 5*f - 436 = -4*g. Calculate the highest common divisor of g and 171.
57
Let w be (15369/235)/(3/20). What is the highest common factor of w and 8?
4
Let q be 15/2*(-42)/9. Let k = q + 36. Calculate the greatest common factor of k and 3.
1
Let a(w) = -11 + w**3 + 0*w - 2*w + 13*w**2 + 6*w. Let v be a(-12). Calculate the highest common factor of v and 17.
17
Suppose 5*u = -4*d + 47, 0*d - 4*d + 29 = -u. Let q = 4 + d. What is the greatest common factor of 108 and q?
12
Let t = 606 - 591. What is the greatest common divisor of 870 and t?
15
Let n be (-14)/(-49) - (4 + 3560/(-35)). Calculate the highest common divisor of 637 and n.
49
Let l be (-24)/(-11) - (-16)/(-88). Suppose 3*g + 20 = 2*o, 0*o - 4 = g + l*o. Let q be 2/g - (-176)/33. What is the highest common divisor of 5 and q?
5
Let d(w) = -191*w - 232. Let c be d(-3). Calculate the greatest common divisor of 62 and c.
31
Suppose 1103*c = 1105*c - 972. Calculate the highest common divisor of 72 and c.
18
Suppose 7*u - 28 = -0*u. Suppose -u*b = -b + 4*a - 36, 4*b - 3*a = 73. What is the greatest common divisor of b and 24?
8
Suppose 16 = 4*z + 4*d, z + 0*d - 5*d - 22 = 0. Let q(x) = -x**3 - x**2 + x - 1. Let o be q(-3). What is the highest common factor of z and o?
7
Let o be (1/2 + (-489)/18)*3. Let a = -17 - o. Let j = 10 + -1. What is the highest common factor of j and a?
9
Suppose -28*c = -461 - 491. What is the greatest common divisor of c and 85?
17
Let q(g) = g**2 + 8. Let a be q(0). Suppose -3*d - 40 - a = 0. Let b be (-906)/(-14) + d/(-56). What is the greatest common factor of b and 13?
13
Suppose 2*m + 2*c = -3*m + 136, -c = m - 26. What is the greatest common factor of 84 and m?
28
Let n = 95 - 83. Suppose -c + 1 = 0, -17 = -4*f + c + 14. What is the highest common factor of n and f?
4
Let n(t) = 43*t + 2. Let a = -25 + 27. Let j be n(a). Calculate the greatest common factor of 11 and j.
11
Let l be 5*14/(-175)*(0 - 3870). Calculate the greatest common divisor of 36 and l.
36
Suppose 201 = 5*f + 3*x, -2*f = f - 3*x - 111. Let p be (-18)/(-10)*130/f. What is the highest common factor of p and 48?
6
Let t be 0 + (110 - (-4)/2). Let q be (0 - -10)*t/35. What is the greatest common divisor of 8 and q?
8
Suppose -4*j + 4*c + 24 = 0, -4*j + 19 = -0*c - 3*c. What is the highest common factor of j and 23?
1
Let v = -590 + 353. Let b = v - -342. Calculate the greatest common divisor of b and 15.
15
Let s = 82 - 58. Let d(o) = -o**3 - 3*o**2 - 2*o + 5. Let i be d(-6). Suppose -i - 55 = -3*r. What is the highest common divisor of r and s?
12
Suppose 0 = n + 5*h - 20, 6 = -11*h + 8*h. Calculate the greatest common factor of 330 and n.
30
Suppose 2*b - b - 230 = 3*d, -3*d = 0. What is the highest common factor of b and 110?
10
Let h(a) = -a**2 + 6. Let v be h(0). Suppose -4*s = -v*s + 70. What is the highest common divisor of 7 and s?
7
Let q be (-2 - 1) + 4*2. Let f(y) = 12*y + 7. Let p be f(q). Suppose -2*c + p + 5 = 0. What is the greatest common factor of c and 24?
12
Suppose -5*b + 70 = 3*g - 0, -5*g = -2*b - 65. Calculate the greatest common factor of g and 435.
15
Let h(b) = -25*b**3 - 3*b**2 - 4*b - 14. Let y be h(-3). What is the greatest common factor of y and 68?
34
Suppose -6*b + 3*z + 28 = -4*b, 3*z = 3*b - 39. What is the highest common divisor of b and 517?
11
Let y(u) = -3*u**2 + 7*u + 26. Let l(n) = n**2 + n - 1. Let d(t) = 2*l(t) + y(t). Let z be d(9). What is the highest common divisor of 3 and z?
3
Let w = 270 + -255. Calculate the greatest common divisor of 105 and w.
15
Suppose -11*i + 8*i = 0. Let d be -1 - 0 - (i - 499). Let j = -290 + d. Calculate the highest common divisor of 26 and j.
26
Let p be -5 - 2*(6 + -55). What is the highest common divisor of 403 and p?
31
Let b(y) = -y**3 - 5*y**2 + 2*y - 24. Let r be b(-6). Suppose 7*u + 536 = 4*w + 6*u, -3*w - 5*u + 425 = r. Calculate the greatest common divisor of 27 and w.
27
Suppose 0 = -5*z - 2*z + 21. Suppose 4 = a + 8. Let p = 5 + a. Calculate the highest common divisor of p and z.
1
Let x(l) = l**2 - l + 9. Let f be x(0). Le