1). Suppose 2*w + 4 = i. Suppose -1 + w = 2*v. What is the greatest common factor of 9 and v?
1
Suppose -792 = 19*f - 55*f. What is the highest common factor of 341 and f?
11
Let h = -490 + 517. Calculate the highest common divisor of 675 and h.
27
Let n(f) = -f**3 + 13*f**2 - 4*f - 16. Let w be n(12). Calculate the greatest common factor of 20 and w.
20
Suppose 4*p + 8 = 0, -2*p + 412 + 78 = r. What is the highest common factor of r and 76?
38
Let f = -36 + 42. Let m be (f/7)/((-10)/(-35)). Calculate the highest common factor of m and 3.
3
Let n be (96/112)/(7/196). Calculate the highest common factor of 270 and n.
6
Let p = 5 + 0. Suppose p = n, 5*u - 5 - 110 = -n. What is the greatest common factor of 66 and u?
22
Suppose 0 = 2*j - 42 - 88. Let w be (-6)/8*(-48)/18. Suppose 0 = 4*a + w*n - 52, 0 = 3*a - n - 2*n - 39. Calculate the greatest common factor of a and j.
13
Suppose -3*r + 27 = -0*r. Let o = r + -4. Suppose -19 = -4*z - p + 13, o*p = -5*z + 25. Calculate the highest common factor of z and 3.
3
Let v(h) = -h**3 + 15*h**2 + 34*h + 36. Let g be v(16). What is the highest common factor of 48 and g?
12
Suppose -p = a - 701, -73*a + 76*a + 2*p - 2098 = 0. What is the highest common factor of a and 72?
24
Suppose -40*b + 41*b = 3. Suppose -5*m + 167 = 3*u, -b*m - 4*u + 107 = -9*u. Calculate the greatest common factor of 34 and m.
34
Let j be (-2)/10 - (5766/(-15))/2. Suppose -193*a + j*a + 24 = 0. Calculate the highest common factor of a and 3.
3
Let l = -37 + 17. Let o = -63 - -65. Let j be l*(0 + o + -3). Calculate the greatest common factor of j and 220.
20
Let v(s) = -s**2 + 2. Let g be v(0). Let r be (-2)/(1 + 1) + -31. Let m be 6*g*r/(-12). Calculate the highest common divisor of 8 and m.
8
Let u(b) = -2*b - 4. Let i be u(-11). Let q be 6/33 + i/22. Suppose 306*m - 35 = 301*m. Calculate the highest common factor of m and q.
1
Let k(v) = v - 3. Let u be k(9). Suppose u*l + 27 = 9*l. Calculate the greatest common factor of 72 and l.
9
Let d be -7*(-5)/(280/192). What is the highest common factor of d and 28?
4
Let q be (77 - 32) + (0 - -3). Calculate the greatest common divisor of 384 and q.
48
Let n be (2/(20/75))/(2/(-28)). Let h = n - -128. Calculate the highest common divisor of h and 207.
23
Suppose 5 + 4 = -3*o, 5*o - 9 = -3*l. Calculate the highest common divisor of l and 2.
2
Let r(o) = -3*o**3 - o**2 - o - 1. Let n be r(-1). Suppose n = b - 17. Let d = b + -10. Calculate the highest common factor of d and 9.
9
Let p(o) = 3*o**2 - 20*o + 76. Let i be p(8). Let k(q) = 2*q - 8. Let z be k(10). What is the highest common factor of z and i?
12
Suppose -6*q - 19 = 269. Let y = q - -84. What is the highest common divisor of y and 252?
36
Let w(x) = 3*x**3 - 4*x**2 - 4*x + 13. Let b be w(3). Suppose -s = 5*y - 0*y - 579, 20 = 5*s. What is the highest common divisor of b and y?
23
Suppose -6*g + 14 = -22. Suppose 35 = y + 3*a - 16, -5*y + 238 = -2*a. Calculate the greatest common factor of y and g.
6
Suppose 0 = -11*g - 28*g + 2184. What is the greatest common factor of g and 2352?
56
Let q(o) = -4*o**3 - o**2 + 14*o + 25. Let d be q(-2). Calculate the highest common divisor of 400 and d.
25
Let k be ((-1)/2)/((-3)/54). Let v be 2/k - (-50)/18. Let d = 202 - 187. Calculate the greatest common divisor of v and d.
3
Suppose -20*q + 10*q + 1090 = 0. Let z = q + -81. Calculate the greatest common factor of z and 224.
28
Let m(p) = -p**3 + 18*p**2 - 41*p. Let o be m(14). What is the highest common factor of o and 20?
10
Suppose 19*f = 6*f + 156. What is the greatest common factor of f and 204?
12
Suppose -6*c + 127 = 37. Suppose 5*b + 2*m - 151 = c, -4*b + 134 = m. What is the highest common divisor of 85 and b?
17
Let i(h) = 8*h**2 - 13*h**2 + 4*h**2 + 6 + 7*h. Let q be i(6). What is the greatest common divisor of q and 12?
12
Suppose z + 0*z = 0. Suppose z*l + 2*l - 6 = 0. Calculate the greatest common divisor of l and 27.
3
Let m(j) = 7*j + 13. Let c be m(5). Let x = c - 26. Calculate the highest common factor of x and 55.
11
Suppose -3*z + 120 = 17*z. Calculate the greatest common factor of z and 6.
6
Suppose -3*n + g + 202 = 0, 2*n + 17 = -g + 160. Suppose -14*f + 184 = -10*f. Calculate the greatest common factor of f and n.
23
Suppose -2*j - 2*j + 520 = 0. Let x = -52 - -62. What is the greatest common factor of x and j?
10
Suppose -2*j = -2*x + 6*x - 216, 12 = -3*j. Suppose -4*k - 64 = -12*k. Calculate the highest common divisor of x and k.
8
Let u be 12/14*(-11 + 4) - 15*-2. Let k = -98 - -290. Calculate the greatest common factor of k and u.
24
Suppose t - 3*f - 51 = -t, 3*f = 3*t - 69. Let c = -10 + 100. Calculate the highest common divisor of t and c.
18
Suppose -255 = -5*d + s, 0 = -d + 2*s - 7*s + 77. Calculate the greatest common divisor of d and 143.
13
Let o(n) = -n**3 - n**2 - 3*n - 6. Let u be o(-4). Let a(c) = -c**2 + c + 6. Let m be a(0). Calculate the highest common divisor of u and m.
6
Suppose 11 = 2*i - 3. What is the highest common factor of i and 112?
7
Suppose -19*j = -23*j + 868. What is the greatest common divisor of 31 and j?
31
Let w(u) = u**2 - 4*u - 6. Let p be w(6). Suppose -7*f + 88 = 46. Calculate the greatest common factor of p and f.
6
Let w(x) = x + 14. Let u be w(0). Let t = -13703 - -13885. Calculate the highest common factor of u and t.
14
Let u be (-72)/(-126) + (-3)/(-7). Suppose 0 = 7*i - 2*i - 5. What is the greatest common divisor of u and i?
1
Let f be (-4)/2 - (-2)/(6/99). Suppose t - 64 = -3*t. Let y = f - t. Calculate the greatest common factor of 6 and y.
3
Suppose 2*z = -3652 + 3674. What is the highest common divisor of z and 803?
11
Let q be (65/1)/(-1 + 2). Let y = -61 + q. Calculate the highest common factor of 32 and y.
4
Let t(a) = 45*a. Let b(v) = v**3 - 3*v**2 - v - 5. Let k be b(4). Let o be (-2)/7 + 16/k. Let s be t(o). What is the highest common factor of 15 and s?
15
Suppose 7*k = 469 + 819. Calculate the highest common divisor of 24 and k.
8
Suppose -32*y + 484 = -10*y. Calculate the highest common factor of 594 and y.
22
Suppose -2*i + 24 = 4*i. Suppose i*q = n - 26, 5*q - 4 + 30 = n. Calculate the greatest common divisor of 208 and n.
26
Suppose -5*r + 2*u = -0*u - 504, -5*r = 4*u - 522. Calculate the greatest common divisor of r and 578.
34
Suppose 0 = i + 2*c - 60, 9*i - 4*i - 327 = -c. Suppose 0 = 2*k - 5*k + 48. Let m = k - 10. Calculate the highest common divisor of i and m.
6
Let y = 105 + -109. Let s be (y/10)/2 + (-202)/(-10). What is the highest common factor of 30 and s?
10
Suppose -25*f = -21*f - 5*n - 51, -2*f + 4*n + 24 = 0. What is the greatest common divisor of 8 and f?
2
Let l(f) = -130*f - 481. Let x be l(-4). Calculate the greatest common factor of 949 and x.
13
Let p = 61 + -56. Suppose 4*i + w = -3*w + 20, -p*i = 3*w - 17. What is the greatest common factor of 2 and i?
1
Let a be 3/3 + 5 + -1. Suppose -a*d + 90 = 4*h, 4*h - 40 - 38 = d. Suppose 0 = 6*i - 5*t - 7, 9*i = 7*i + t + 3. What is the greatest common factor of i and h?
2
Suppose -4*c - w = -5*w - 12, -3*w = 5*c - 15. Suppose c*f - 36 = 5*l, 3*f - l - 36 = -0*l. Calculate the highest common factor of f and 12.
12
Suppose 3*f - f = 396. Let n(c) = -7*c. Let r be n(3). Let p be (-1 + 55)*r/(-63). What is the highest common divisor of f and p?
18
Let i = -31 + 36. Suppose -4*w = -i*f + 29, 8*w - 20 = -5*f + 3*w. What is the highest common divisor of f and 40?
5
Let z = 13049 + -13021. Suppose 5*c = -4*w + 128, 4*c - 8*c = 5*w - 97. What is the greatest common divisor of c and z?
28
Let b = 64 + -58. Let q(m) = m**3 - 3*m**2 - 8*m + 6. Let j be q(b). Suppose -2*z = 2*z - 132. What is the highest common divisor of z and j?
33
Suppose 1 - 13 = -6*d. Let c be (-4)/(-12) + d/3. What is the greatest common factor of 1 and c?
1
Suppose -4*h = -0*h - 20. Suppose 24 + 1 = h*n. Suppose -4*x + 70 = -n*q - 14, -84 = -4*x + 4*q. What is the greatest common divisor of 21 and x?
21
Let p(k) = -7*k**2 - 40*k - 6. Let j be p(-4). Calculate the greatest common divisor of j and 63.
21
Let q = 2 - 2. Suppose q*c - 72 = -2*c. What is the greatest common divisor of c and 4?
4
Let g = 34 - 30. Suppose 0 = -g*m + m + 6. Calculate the highest common factor of 2 and m.
2
Suppose -2*a + 11 = 3*k - 23, 4*k - a = 49. Sup