). Let i = w + m. Calculate the greatest common divisor of i and 24.
24
Let f be (15 + -1)/1 - (-32)/8. Let i be (546/f)/(((-12)/9)/(-4)). What is the greatest common divisor of 26 and i?
13
Let f be ((-5)/(-2))/((-2)/(-24)). Suppose -3*o - 3*w + 33 = 0, -5*o + 5*w + 105 - 10 = 0. Let j = 30 - o. What is the greatest common factor of j and f?
15
Suppose -12 = -b + 6*p, b - 2*p - 42 + 14 = 0. What is the greatest common divisor of 522 and b?
18
Let d(f) = 3*f**3 - f. Let h be d(1). Suppose 0 = h*b + 2*b - 36. Let a be (23 - 3) + b/(-3). Calculate the greatest common factor of a and 68.
17
Suppose -43*p + 48 = -35*p. What is the highest common factor of p and 58?
2
Let v = 36 + 13. Let c = -6 - -5. Let l(g) = 8*g**2 - 2*g - 3. Let j be l(c). What is the highest common divisor of j and v?
7
Suppose -5*a - 500 = -190. Let c = -55 - a. Let f = 52 - -25. Calculate the highest common factor of f and c.
7
Suppose 3640 = -212*o + 222*o. Calculate the highest common factor of o and 52.
52
Suppose 0 = -2*f + 5*r + 13, 5*f - 42 = 2*r + r. Suppose -421 - 38 = -f*t. Calculate the greatest common factor of 34 and t.
17
Suppose 5*g - 156 + 141 = 0. What is the greatest common divisor of g and 1?
1
Let d(h) be the first derivative of -h**2/2 + 15*h - 42. Let z be d(7). Suppose 190 - 70 = 3*g. What is the greatest common factor of z and g?
8
Suppose 0*k = 4*k - 28. Suppose 2*r + 350 = k*r. Let m = -107 - -121. What is the highest common factor of r and m?
14
Suppose 0 = -2*s + 3*w - 30, -s = -5*w + 19 + 10. Let y = 31 - s. What is the greatest common divisor of 4 and y?
4
Let z(r) be the third derivative of -r**4 - 7*r**3/6 - 5*r**2. Let q be z(-7). Suppose q + 49 = 5*p. Calculate the greatest common divisor of p and 6.
6
Let d(i) = 2*i**3 - 2*i**2 + 2*i + 37. Let y be d(0). Calculate the greatest common divisor of y and 333.
37
Let k(d) = -19*d + 57*d + 33*d - 11*d. Let r be k(1). Calculate the greatest common divisor of 12 and r.
12
Suppose m = 5*s + 6*m - 30, 0 = -3*m + 3. Suppose p + s - 8 = 0. Suppose -96 = 27*g - 31*g. What is the highest common factor of g and p?
3
Suppose 3*n - 163 = 65. Let c(k) = k + 25. Let t be c(-6). Calculate the greatest common divisor of n and t.
19
Let t be 99/6*-4 + 2. Let g = t + 124. What is the greatest common factor of 15 and g?
15
Let w(a) = 2*a**2 + 3*a + 4. Suppose -24 = -2*t - 10. Let z be t/14 + 14/4. Let l be w(z). Calculate the highest common divisor of l and 120.
24
Let d be 4/6*(1 + -10). Let b be 3*d*(-2)/18. Let w = b - -42. What is the greatest common factor of 22 and w?
22
Let f be 2234/16 - (-30)/80. Suppose 4*s + f = 5*q, -5*s - 10 = -3*s. Calculate the greatest common factor of 6 and q.
6
Let l(n) = -26*n + 2. Let k be l(-2). Suppose 0 = 9*s - 6*s - k. What is the greatest common divisor of 27 and s?
9
Let a(d) = 540*d**2 + 7*d + 7. Let n be a(-1). Calculate the highest common divisor of n and 20.
20
Let g(i) = i**3 - 3*i**2 - 16*i + 1. Let s be g(5). Let t = 38 + s. Suppose -4*q = -5*q + 9. What is the greatest common factor of q and t?
9
Let g(t) = 9*t - 1. Suppose q = 4*b - 27, 2*q - 5*b = 2 - 44. Let r be g(q). Let i be (21/5)/((-4)/r). What is the greatest common divisor of i and 15?
15
Suppose -3*j = 2*j - 60. Suppose 16*i + 900 = 31*i. What is the greatest common divisor of j and i?
12
Let s = 7 - -1. Let c be (-12)/15*(-1075)/10 - -2. What is the greatest common divisor of c and s?
8
Suppose 3888 = -1227*l + 1235*l. What is the greatest common factor of 6 and l?
6
Let z(w) = -40*w - 256. Let j be z(-11). What is the highest common factor of 40 and j?
8
Let z = -7 - -9. Suppose 0 = 2*f - n - 3*n, z*f - 2 = 2*n. What is the highest common divisor of 5 and f?
1
Suppose -2*c = -4*r - 75 + 7, 2*r - 166 = -4*c. Calculate the greatest common divisor of c and 10.
10
Let d be ((-4)/40*-4)/((-5)/(-1300)). Calculate the greatest common factor of d and 91.
13
Suppose -2*i + 2*v + 30 = v, 3*v = -2*i + 30. Let d be ((-24)/i)/((-8)/380). What is the highest common divisor of d and 190?
38
Let p be (-86)/(-3) - 10/(-30). Let t = -24 + 29. Suppose 0 = t*m - p - 26. Calculate the highest common divisor of 121 and m.
11
Suppose -2 + 8 = 2*p. Let f(m) = -m**3 + 4*m**2 + 5*m - 14. Let d be f(4). Let j be (1 - -35)*d/8. Calculate the greatest common factor of p and j.
3
Suppose 93*d - 88*d - t - 275 = 0, -2*t + 178 = 3*d. Let i be 7 + 2 - 2/2. Calculate the greatest common divisor of i and d.
8
Let q(k) = 13*k + 89. Let i be q(27). What is the highest common factor of 60 and i?
20
Let q(r) = -164*r**3 - r**2 + r + 2. Let n be q(-1). What is the highest common divisor of n and 123?
41
Suppose -1 + 5 = 4*y, -y = -4*k + 347. Let c = k + -74. Calculate the greatest common factor of c and 39.
13
Suppose 2*o - 3*q = 2*q - 10, -5*o - 5*q = -45. Let r = -108 - -30. Let s be r/(-65) + 1/(-5). What is the greatest common factor of o and s?
1
Suppose -941 = -11*h - 17. What is the highest common factor of 147 and h?
21
Let w be (23/3 - 0)*63. Let d be w/12 - (-8)/(-32). Suppose 6*i - 4*n - 412 = 2*i, -2*n - 6 = 0. What is the highest common divisor of d and i?
20
Let n = -228 + 0. Let k = 543 + n. Let h = -5812 - -5847. What is the greatest common factor of k and h?
35
Suppose 19*k = 24*k - 215. Let q = k + -35. What is the greatest common divisor of 28 and q?
4
Let u = 6521 + -3473. Calculate the highest common factor of u and 24.
24
Let r(n) = n - 1. Let m(y) = -y**2 + 2*y. Let w(s) = m(s) + 3*r(s). Let d be w(4). Calculate the greatest common factor of d and 8.
1
Let h = -770 - -890. Calculate the highest common divisor of h and 216.
24
Let f(h) = 3*h**3 - 11*h**2 + 6*h - 10. Suppose -m + 2*m = 4*i - 23, 2*i - 2*m - 16 = 0. Let o be f(i). Calculate the greatest common divisor of 15 and o.
15
Let r(y) = -6*y - 175. Let s be r(-40). Let z be (26/4)/(1/4). What is the greatest common divisor of z and s?
13
Suppose z + 4*q = -36, 5*z - 5*q + 155 = -0*q. Let s = z - -40. What is the highest common divisor of 40 and s?
8
Let u(y) = y**3 + 18*y**2 - 12*y + 243. Let h be u(-19). What is the greatest common factor of h and 40?
10
Let j be -132*(3/(-5))/(-13 - (-995)/75). Suppose 4*x - v - 136 = -x, 4*x = 2*v + 110. What is the greatest common divisor of x and j?
27
Let m be (-2)/(-1) - (-4)/2. Let v(w) = w**3 - 5*w**2 - 3*w + 4. Let c be v(5). Let h be (-83)/(-3) - c/33. What is the greatest common divisor of m and h?
4
Suppose 0 = 3*i - 5*q - 38 + 2, 5*q + 50 = 5*i. What is the highest common factor of 196 and i?
7
Let y = 861 - 854. Calculate the highest common factor of y and 63.
7
Suppose 2*o = 0, 3*c + 5*o - 116 = 169. Suppose -5*h + 3*p = -117 - c, -4*p + 144 = 4*h. What is the greatest common divisor of h and 5?
5
Suppose 2*u + 5*c = -48, 0 = -u + c - 10. Let f = u - -35. What is the greatest common divisor of 3 and f?
3
Let x be ((-4)/8)/((-3)/(-6)) + 267. What is the greatest common divisor of x and 28?
14
Let n(j) = -j**2 + 21*j - 64. Let o be n(13). What is the highest common factor of 8 and o?
8
Suppose 28 = c + h, -4*c - 2*h = -6*h - 136. Suppose -c = -5*x + 39. Let n = -269 - -395. What is the highest common divisor of n and x?
14
Let a(z) = 3*z**2 - 69*z + 4. Let y be a(23). Calculate the greatest common factor of 184 and y.
4
Let j = 9 + 8. Let p = 22 - j. Let i be 8/(-20) + 122/p. Calculate the greatest common factor of i and 216.
24
Let d be 1*((-219)/(-4) + 23/92). Calculate the highest common divisor of d and 33.
11
Let v be (-8)/((-192)/68) + (-3)/(-18). Let n be 1 - 2/(2/219). Let q be (-10)/45 - n/9. What is the highest common divisor of v and q?
3
Let r(q) = -4*q + 2. Let n be r(-4). Suppose i - 630 = -5*f, -4*f + 8*i = 4*i - 504. Calculate the highest common factor of f and n.
18
Let c(j) be the first derivative of 3*j**2 - 15*j + 40. Let p be c(3). What is the greatest common divisor of p and 27?
3
Suppose -20*w = -45*w + 1650. Let q = 133 - 89. Calculate the highest common factor of w and q.
22
Let i(v) = -v**3 - 11*v**2 - 10*v + 3. Let u be i(-10). Let z be u + 4 + (15 - 4). What is the greatest common divisor of 144 and z?
18
Suppose 2*c - q + 2 = 1, -c - 13 = 2*q. Suppose 4*n = -4*t - 10 + 26, 2*n = -4*t + 20. Let i be 1/(t/c)*-84. What is the greatest common factor of 6 and i?
6
Let n(l) = -l**3 + 17*l