8
Let i(g) = g**2 - 21*g. Let f be i(24). What is the greatest common divisor of 8 and f?
8
Suppose -2*p - 6 = -0*p. Let i be 0 + p + 13/1. Let t be (0 - -1)/(i/120). Calculate the highest common divisor of 12 and t.
12
Suppose 2*s + 6*o - 10*o = 146, -o = -5*s + 320. Let d be (-4)/30 + 3804/180. Calculate the greatest common factor of s and d.
21
Let x = 14 - 65. Let a = x + 71. Calculate the greatest common divisor of 4 and a.
4
Suppose -3*g + 144 + 250 = -4*x, -163 = -g - 5*x. What is the highest common factor of 437 and g?
23
Let c(o) be the second derivative of -7/3*o**3 + 0 - 1/20*o**5 + 2*o - 5/2*o**2 + 5/6*o**4. Let v be c(7). Calculate the greatest common divisor of 22 and v.
22
Suppose -3*d - 3*s + 12 = 0, 3*d = -s + 2*s. Suppose 0 = -16*k + 64. Calculate the greatest common divisor of k and d.
1
Let m = 126 - 76. Calculate the highest common divisor of m and 30.
10
Let i = -16 + 27. Suppose 10*f + 11 = i*f. Suppose -c + f = -0*c. Calculate the greatest common factor of c and 99.
11
Suppose -11*u + 250 = -685. What is the highest common divisor of u and 255?
85
Let v = -281 + 406. Suppose x - v = 5*p, -p - 4 = -6. Calculate the highest common divisor of 15 and x.
15
Let b(f) = 153*f**2 + 143*f + 3. Let h be b(-2). Calculate the greatest common factor of 188 and h.
47
Let t(q) = q**2 - 77. Let f be t(-9). Calculate the highest common factor of f and 5.
1
Let c(p) = p**2 + p + 15. Let u be (-5)/(-10) + 9/2. Let k be c(u). What is the greatest common factor of 9 and k?
9
Let x = -19 + 29. Let j(r) = -2*r - 6. Let l be j(-17). Let w = l - 13. Calculate the highest common divisor of w and x.
5
Let x(r) = -127*r - 90. Let h be x(-4). What is the highest common divisor of 22 and h?
22
Suppose 0 - 2 = a - 2*p, 3 = p. Suppose a*d = -5*c + 5*d + 840, -5*d = -2*c + 336. Calculate the greatest common divisor of c and 42.
42
Let n = 33 + -18. Let c = -15 + n. Suppose w - 2*z + z - 68 = c, -3*w = -4*z - 202. What is the greatest common divisor of 14 and w?
14
Let v(m) = m**2 + m + 1. Let l be v(3). Suppose -4*c - 218 = 5*b, 0*b = 2*c - 5*b + 124. Let k = 96 + c. What is the greatest common divisor of l and k?
13
Let u(f) = 3*f**2 - 6*f - 1. Let y be u(6). Let s = y - 29. Suppose 2*o - o = s. What is the highest common divisor of 14 and o?
14
Let w(z) = -7*z - 85. Let y be w(-19). Suppose -2*k - 2*j = -48, -3*k + 0*j + 72 = -4*j. What is the highest common divisor of k and y?
24
Suppose 7*p - 8*p - 4 = -2*a, 25 = 5*a. What is the greatest common factor of p and 294?
6
Let b = -378 + 547. Suppose 5*g + p = 245, 2*g = 5*g + 5*p - b. Let w be (-2)/(-9) + 208/36. What is the greatest common factor of w and g?
6
Suppose -c + 2*d = -1422, 6218 = 4*c - d + 523. What is the greatest common divisor of c and 16?
16
Suppose 11*x = -587 - 95. Let m = x + 128. Calculate the greatest common divisor of 22 and m.
22
Let m be 444/18 + 5/15. Calculate the highest common factor of m and 100.
25
Suppose -6*z + 4*z + 116 = -4*f, 116 = 2*z - 5*f. Calculate the highest common factor of 29 and z.
29
Let a be 12/(-7)*16/(256/(-616)). Calculate the greatest common divisor of 231 and a.
33
Suppose -250 + 55 = -4*m - 3*q, -4*m = -4*q - 188. Suppose m = 19*o - 15*o. What is the greatest common factor of o and 132?
12
Let x(v) = v**2 + 11*v - 63. Let z be x(-16). What is the highest common divisor of 119 and z?
17
Let m = 161 + -117. Calculate the highest common factor of 374 and m.
22
Let w(m) = -m**2 + 35*m - 60. Let c be w(9). Calculate the highest common divisor of c and 435.
87
Suppose 0 = -5*n + 3*n + 40. Suppose 3*q - 18 = -3*f, -3*f - 82 = -5*q - n. Suppose -5*l = -2*l - 60. Calculate the greatest common divisor of q and l.
10
Suppose 5*i - 3*t = 894, -3*i - 54*t = -55*t - 538. What is the greatest common divisor of i and 27?
9
Suppose -i = 5*j - 40, 4*i + 7*j = 5*j + 124. What is the highest common divisor of 570 and i?
30
Suppose -3*l + 2 = a - 129, 4*l = -a + 173. What is the highest common factor of 3 and l?
3
Let q be (-1416)/(-18) - (-4)/(-6). Suppose 6*l = 12*l - q. What is the highest common factor of 26 and l?
13
Suppose -c + 14 = c - 3*n, 4*c + 4*n - 28 = 0. Let l = c + -4. Suppose l*r = 3*o - 18, 2*o + 2*r - 5 = -1. Calculate the greatest common factor of o and 40.
4
Let l = -14 + 32. Let q be (l/12 - 169/(-2)) + 2. Calculate the greatest common divisor of 8 and q.
8
Let x = 3 + 11. Suppose -j + 44 - 9 = 0. What is the highest common divisor of j and x?
7
Suppose -30*r = -401 - 319. Suppose 6 + 3 = 3*i. Suppose 4*l - 2*l + 5*v = -4, i*l - 5*v - 19 = 0. What is the greatest common factor of r and l?
3
Suppose -9*l + 168 = -282. Calculate the highest common factor of l and 1450.
50
Let w(g) = -14*g - 16*g + 33*g. Let d be w(-6). Let a be (-1646)/(-10) + d/(-45). What is the greatest common factor of a and 15?
15
Let h be (374/(-33))/((-2)/57). What is the greatest common divisor of h and 17?
17
Let n be 54/(-30)*(-210)/9. What is the highest common divisor of n and 714?
42
Suppose -19*d + 12*d = -196. Calculate the greatest common factor of 36 and d.
4
Let k(v) = -87*v + 289. Let h be k(3). What is the greatest common divisor of 1148 and h?
28
Let i = -237 - -128. Let k = 143 + i. Calculate the highest common factor of k and 119.
17
Let p = 25 - -30. What is the highest common divisor of 5 and p?
5
Let b(p) = p**2 + 14*p - 12. Let d be (-24)/(-10)*(-15)/2. Let w be b(d). Calculate the highest common divisor of 150 and w.
30
Let b be 4/18 - (-86)/18. Let x = -45 + 60. Suppose -6*q - 360 = -x*q. Calculate the greatest common factor of q and b.
5
Suppose 331 - 93 = 14*j. Let z(p) = -2*p**2 - 9*p + 1. Let s be z(-7). Let f be (-1 + (1 - 1))*s. What is the highest common divisor of f and j?
17
Suppose 0*v - v = -1, -4*g + 64 = 4*v. Let x(c) = -c**3 + 14*c**2 + 20*c + 13. Let f be x(g). Calculate the highest common divisor of 8 and f.
8
Suppose -13*k = -7*k - 24. Suppose -k = -3*z + 131. Calculate the highest common factor of z and 90.
45
Let c be 10 - (-8 - (-8)/2). What is the greatest common divisor of c and 2?
2
Let c(a) = a**3 + 2*a**2 + a + 4. Let u(w) = -w**2 + w + 1. Let k(f) = c(f) - 3*u(f). Let l be k(-4). Calculate the highest common factor of 5 and l.
5
Suppose 3*i + 3 + 6 = 0. Let a be i - -4 - (0 + -1). Suppose 0 = 3*d + 4*b - 140, -7*b = -3*d - a*b + 95. What is the highest common divisor of 8 and d?
8
Suppose -j - 32 = -0*x - 5*x, 5*x - 18 = -j. Let v(w) = -w + 6. Let q be v(9). Let f be 4 + 3/q - j. Calculate the greatest common divisor of 30 and f.
10
Let m = -2 + 19. Let u(t) = 2*t**2 + 4*t - 1. Let g be u(-3). Suppose 0 = 5*d + 2*c - 495 - 442, g = 5*c. What is the highest common factor of m and d?
17
Let b be 8*2/(-4) + 8. Suppose 3*d - 4*k - k = 250, -b*k + 16 = 0. Calculate the greatest common divisor of d and 10.
10
Let o = -235 + 251. Suppose 6*l + 90 = 3*l. Let q be (12/10)/(l/(-800)). Calculate the greatest common factor of o and q.
16
Let s = 74 - 64. Suppose 40*c - 35*c = s. What is the highest common divisor of 38 and c?
2
Let s(t) = 8*t + 271. Let z be s(23). Calculate the greatest common divisor of z and 273.
91
Suppose 3 = h + 1. Suppose h*p - 2 = 4, 2*p = -c + 321. Calculate the highest common factor of c and 35.
35
Let h be (-1854)/(-90) - (-4)/10. Calculate the greatest common divisor of h and 147.
21
Let z(r) = 3*r**2 + 7*r. Let s be (-2)/((-4)/70) + 1. Let w be (-312)/s + 2/(-6). Let t be z(w). What is the highest common divisor of 20 and t?
20
Suppose 0 = 5*j + z + 1, -4*z + 28 - 9 = -3*j. Let i be (-11)/(-1)*(2 - j). Calculate the highest common factor of i and 11.
11
Suppose 0 = 2*i - 4*j - 12, 2*i - 2*j = -3*j + 27. Calculate the greatest common factor of i and 48.
12
Let l(x) = x**3 + 8*x**2 + 4*x + 1. Let d be (-2)/14 + 220/(-77). Let n be l(d). Let j be -2*1*102/(-4). What is the greatest common divisor of j and n?
17
Let f be 32/80 - (-5606)/10. What is the greatest common divisor of 17 and f?
17
Suppose -x + 106 = -4*t, -3*x + 12 + 117 = -5*t. Let p = 38 + t. Calculate the highest common divisor of p and 11.
11
Let t(a) = 10*a**3 - a**2 - 2*a - 2. Let y be t(2). Let n = y - 10. What is the highest common factor of n and 40?
20
Let m = -87 + 94. Let f(l) = l**3 + 3*l**2 - 3*l + 4. Let y be f(-4). Suppose 0 = -t - 3, 