t - 20 + o = 0. Calculate the greatest common divisor of 8 and t.
4
Let h(p) = p**3 + 9*p**2 + 14*p + 9. Let k be h(-7). Let w be -3*((-3)/k)/1. Calculate the highest common factor of 2 and w.
1
Let a(y) = -11*y + 367. Let g be a(33). Let j = -46 - -27. Let k = -3 - j. Calculate the greatest common divisor of k and g.
4
Let w = -522 + 962. Suppose -6*f + w = -f. Let l = 18 - 10. Calculate the greatest common divisor of l and f.
8
Let w be (-4)/32 + (-3330)/(-16). Let p = w + -100. What is the greatest common factor of 12 and p?
12
Let d(b) = 5*b**2 + 25*b + 121. Let o be d(-10). What is the highest common factor of o and 7?
7
Let c be 8/28 - (-540)/(-28). Let f = 33 + c. Let s be 4/(-6)*(-63)/f. What is the highest common divisor of s and 33?
3
Suppose 0 = 5*d - 20, -4*m + 5*d - 782 = -6*m. Suppose 10*u = 519 + m. What is the highest common divisor of 36 and u?
18
Let i(q) = -q**2 + 10*q - 11. Let b be i(8). Suppose b*x = 309 + 351. Let t = 33 - 21. Calculate the highest common divisor of x and t.
12
Let d(w) = w**3 + 3*w**2 + 2*w + 3. Let t be d(-2). Suppose t*u = 21 + 3. Calculate the highest common divisor of 2 and u.
2
Suppose 0 = 2*p - 4*y - 180, -7*y = 2*p - 5*y - 210. What is the highest common factor of p and 125?
25
Suppose -2*j + 86 = -3*y + 439, 3*y = 5*j + 365. Calculate the greatest common factor of y and 92.
23
Let g(m) be the third derivative of m**5/5 - m**4/24 - m**3 - 18*m**2. Let y be g(-3). Calculate the highest common factor of y and 21.
21
Let d = 405 + -171. What is the highest common divisor of 390 and d?
78
Suppose 2*r = 5*m + 44, -33 = 3*r - 3*m - 99. Calculate the highest common divisor of r and 319.
11
Suppose -3*k - k = 2*p - 44, 5*k = -2*p + 56. Suppose 3*c + 0*c = 18. Calculate the greatest common divisor of k and c.
6
Let l be 56*(-4 + (-105)/(-14)). Calculate the highest common divisor of 147 and l.
49
Let h(x) = -x**2 + 15*x - 22. Let v be h(13). Let q be ((-64)/4)/(-1)*v. Let w be (-7)/(-1) + 0 - -1. Calculate the greatest common factor of w and q.
8
Suppose -23 = -3*x - 83. Let g = 7 - x. Suppose -34 = -2*p - 4*h, 5*h = 3*p + 2 - 9. Calculate the highest common divisor of g and p.
9
Suppose 5*u = 103 + 62. Suppose -u*d = -36*d + 180. Calculate the greatest common divisor of d and 24.
12
Suppose y - 18 = 4. Suppose 842 + 82 = 6*s. Calculate the greatest common factor of s and y.
22
Let q(f) = 17*f + f - f**2 + 3*f. Let z be q(9). What is the highest common divisor of z and 27?
27
Let o(n) = 524*n - 1. Let d be o(-1). Let c be (-64)/16 + (0 + d)/(-3). What is the greatest common divisor of 19 and c?
19
Let t be -3 - (1 + 2 - 6). Suppose l + 3*l - 240 = t. Suppose -4*s - 176 = 2*a - 4*a, -a - s = -91. Calculate the highest common divisor of a and l.
30
Let a(r) = 8*r**2 - 16*r - 7. Let f be a(7). Calculate the highest common factor of 78 and f.
39
Let a(h) = -2*h**3 + 5*h**2 + 9*h. Let m be a(-3). Calculate the greatest common divisor of 972 and m.
36
Let o be ((-8)/(-16))/(1/(-30)). Let b = 9 - o. Let i(c) = -33*c + 3. Let w be i(-5). Calculate the highest common factor of b and w.
24
Let x(f) = f**3 + 11*f**2 - 15*f - 17. Let v be x(-11). Suppose -v - 174 = -2*m. Calculate the highest common divisor of m and 23.
23
Let y(t) = t**3 + 14*t**2 + t + 16. Let s be y(-14). Let b be (1 + s + -7)/1. Let r be 1 + (-1)/1 - b. Calculate the greatest common factor of r and 16.
4
Let i(p) = -p**3 + 5*p**2 + 16*p - 4. Let t be i(7). Let v(q) = q**2 - 7*q - 18. Let o be v(t). What is the greatest common factor of o and 18?
6
Let a be (-70)/60*-6 + 537. Calculate the greatest common factor of 102 and a.
34
Let l(h) = -h**2. Let o be l(0). Suppose 0*g + g - 24 = o. Let a(i) = -i**3 + 12*i**2 + 2*i + 25. Let n be a(11). What is the highest common divisor of n and g?
24
Suppose -12 - 9 = -o. Let b be 15/(60/56) + 0. What is the greatest common factor of b and o?
7
Let y(i) = -2*i**3 - 6*i**2 - 6*i - 4. Let d be y(-4). Suppose 3*a + a = d. What is the highest common divisor of a and 26?
13
Let f be 0*((-30)/(-44) + (-28)/154). Suppose -17*y + 604 + 518 = f. Calculate the greatest common divisor of y and 22.
22
Let t be 0 + 0 + -1 + 3. Suppose -5*j - x = 4*x, t*j + x = -1. Let l = j + 29. Calculate the highest common divisor of l and 7.
7
Let r(z) = 29*z + 2. Let o be r(-2). Let i = -27 - o. Calculate the greatest common divisor of 116 and i.
29
Let k(c) = 83*c**2 + 2*c - 11. Let z be k(2). Calculate the highest common factor of 130 and z.
65
Suppose 49*t = 46*t. Suppose t = 30*o - 35*o + 1430. Let a be 24 + 1 + 2 + -1. Calculate the greatest common factor of o and a.
26
Let s = 141 - 81. Let v = 7 + 13. What is the highest common divisor of s and v?
20
Let b(n) = 5 + 5 - 6 + n**2. Let r be b(6). Let p be (16/r)/(2/35). Calculate the highest common factor of 56 and p.
7
Suppose -4*w + 3*h + 574 + 283 = 0, -2*w + 418 = 2*h. What is the greatest common factor of 4 and w?
4
Let s be 6 + 3*4/(-6). Suppose -18 = -s*x + x. What is the greatest common factor of 6 and x?
6
Let v = 204 + -181. Calculate the highest common factor of 92 and v.
23
Suppose -3*p - 158 = -5*o, -5*o + o + 122 = 2*p. Suppose 28 = -27*y + o*y. What is the greatest common factor of 7 and y?
7
Let o(y) = -3*y + 1. Let u be o(-3). Suppose -3*x - 3 = 2*q - 0, -5*q + 2 = -2*x. Suppose q = 5*z - 82 - 43. Calculate the greatest common divisor of u and z.
5
Let h = -48 - -188. Let f be 2 - (1 - (-2)/2). Suppose f = -2*z + 3*z - 56. What is the greatest common divisor of z and h?
28
Let x = 6 + -2. Suppose -x*g - 28 = -5*r, 5*r - g = -3*g + 46. Suppose -12 = -5*p + 2*p. What is the greatest common factor of p and r?
4
Let l(s) = s**2 - s - 3. Let n be l(0). Let v be -3 - (-3 + 2 + n). Let p be (-1)/(-2)*(v - -1). Calculate the greatest common divisor of 9 and p.
1
Suppose 7*x = 4*i + 2*x + 85, 0 = -3*i - x - 40. Let g = i + 21. Calculate the greatest common divisor of g and 6.
6
Let j be (-1 - (-412)/20)/((-33)/(-1815)). Calculate the greatest common divisor of 44 and j.
22
Let x be ((-8)/(-10))/((-4)/(-30)). Suppose 3*p + 2*p = 3*w - 21, 2*p + 18 = 2*w. What is the greatest common factor of w and x?
6
Let b be (-4)/(-4) + 1687/(63/9). What is the greatest common divisor of 176 and b?
22
Suppose 0*q + 4 = -q, w = q + 117. Let g = w - -140. What is the greatest common divisor of 23 and g?
23
Suppose -4*h + 8*h = -3*f + 78, -4*f + 2*h = -104. Let q(j) = 28 + j + 31 - f. Let n be q(0). What is the highest common divisor of n and 22?
11
Let z be (8/(-40))/(5/(-175)). What is the highest common divisor of 217 and z?
7
Suppose -22*d + 184 = -14. Suppose 3*s - 72 = s. Calculate the highest common divisor of d and s.
9
Let f(c) be the first derivative of c**3/3 - 8*c**2 + 22*c + 2. Let i be f(15). Calculate the highest common divisor of 1 and i.
1
Let k be 16/40*(-5)/1. Let q be k + 0 - 1 - -2. Let p be q + -2 + 3 - -12. Calculate the greatest common divisor of p and 24.
12
Let i(z) = -z**3 + 8*z**2 + 8*z + 31. Let r be i(9). Calculate the highest common factor of 198 and r.
22
Suppose 0 = 8*k - 21*k + 351. Calculate the highest common divisor of 45 and k.
9
Let x be 5/(((-4)/(-28))/1)*2. Suppose z + k = -0*k + 13, -2*z + 23 = 5*k. Calculate the highest common factor of z and x.
14
Suppose 246*w - 9625 = 235*w. Calculate the greatest common factor of w and 14.
7
Suppose 172*c = 153*c + 855. What is the greatest common factor of 480 and c?
15
Let w(b) = 5*b**3 + 1. Let c be w(-1). Let p be c/(-4)*(0 - -5). Let d be 4/p*(-675)/(-10). What is the highest common factor of 6 and d?
6
Let j(k) = -k**3 + 4*k**2 - 5*k + 35. Let g be j(0). What is the highest common factor of 840 and g?
35
Let v(j) = j**2 - 18*j + 80. Let g be v(12). Calculate the highest common divisor of g and 22.
2
Suppose 9*r + 275 = 338. Let x = -2 + 5. Suppose 2*z + 4*n - 52 = 0, -79 = -x*z - 4*n - n. Calculate the highest common divisor of r and z.
7
Suppose 8*m - 13*m = 20. Let y be (-130)/(-15)*(-6)/m. Let p be (-1)/(1*(-3)/117). Calculate the highest common divisor of y and p.
13
Suppose 333 = 5*x + 32*x. Suppose -2*t - t = -27. Calculate the highest common divisor of x and t.
9
Suppose 3*c + 2*b - 17 = -0, -5 = b. What is the greatest common factor of 1 and c?
1
Let v(m) = 49*m**2 - 11*m - 2. Let o be v(-1)