02. Calculate the greatest common factor of 35 and k.
7
Let b(z) = z**2 + 14*z + 27. Let c be b(-12). Suppose -c*l + 2 = -4*i, 4*l - 3 = 2*i + 3. Calculate the greatest common factor of i and 6.
1
Suppose 4*j = i + 37, i + 25 = 4*j - 4*i. Let x = 164 + j. Suppose -66 = -4*z + x. What is the greatest common factor of 12 and z?
12
Let v(q) = 6*q - 164. Let n be v(28). Calculate the greatest common divisor of 148 and n.
4
Suppose -2*s + s = -2*s. Suppose s = -2*h - 0*h - 3*o + 45, -5*h - 3*o = -90. Let f = 158 + -98. Calculate the greatest common divisor of f and h.
15
Suppose -t = 2*t - 12. Suppose -2*u - 109 + 31 = -2*o, -t*o - 2*u + 186 = 0. Let n(j) = -j + 4. Let a be n(-7). Calculate the highest common factor of a and o.
11
Suppose a - 33 = 4*l, 3*a + 4*l - 141 = 2*l. Suppose -5*h + a = -0*h. What is the highest common factor of 108 and h?
9
Let g = 17 - 24. Let o(y) = y**3 - 7*y**2 - y + 6. Let p be o(7). Let r be p/g + 880/14. Calculate the greatest common divisor of r and 7.
7
Suppose -6*w = -9*w + 2310. Calculate the highest common factor of 110 and w.
110
Let m be 2*(82/4 + -2). Let i = m - 25. What is the highest common factor of i and 48?
12
Let o be 146 + (-1 - (-2 - -3)). Suppose -5*h + 488 - 408 = 0. What is the greatest common divisor of o and h?
16
Let a be (-8)/(-6)*459/18. Suppose -d = 4*v + 4*d - 1249, 2*v - 617 = -d. What is the greatest common factor of v and a?
34
Suppose 2*o + t = -287 + 36, -2*t + 506 = -4*o. Let f be ((-1620)/o)/(6/56). Calculate the highest common factor of 15 and f.
15
Let c be (20 + (0 - -1))*(-356 + 362). Suppose -z = -4*n - 34, -4*n + 2*n = -5*z + 98. Calculate the highest common divisor of c and z.
18
Let b = 2506 + -2446. What is the greatest common divisor of b and 450?
30
Suppose 0 = 8*j - 47 - 9. Suppose -25 = -4*r + 3*n, -5*r + 5*n + 18 = -j. Calculate the greatest common factor of r and 30.
10
Suppose -w - f = -3*f - 100, -535 = -5*w + 3*f. What is the greatest common factor of w and 88?
22
Let w(x) = -4*x - 17. Let u be w(7). Let k be 3/(-6) - u/2. What is the greatest common factor of 44 and k?
22
Let h be (-52)/(-156) + 326/3. What is the greatest common divisor of h and 327?
109
Let n = 10 + -3. Let o(a) = -4 + 5 + 3*a - 5 + 2*a + 2*a**2. Let h be o(-5). Calculate the greatest common divisor of h and n.
7
Let w(d) = -d**3 + 7*d**2 + 10*d - 13. Let v be w(8). Suppose v*p - 17 = -j, -p + 90 = -0*j + 4*j. What is the highest common divisor of j and 184?
23
Suppose 0 = -2*j + 28 - 10. What is the greatest common factor of j and 576?
9
Let w be (-6)/((5 - 309/63)/(-1)). What is the highest common divisor of 315 and w?
63
Suppose 15*h - 4*h = -517. Let z = h - -53. Calculate the highest common divisor of 12 and z.
6
Suppose 0 = 4*r - 48 - 92. Let h(u) = -u**2 + 10*u. Let m be h(7). What is the greatest common factor of m and r?
7
Suppose -k - k = 0. Let v = 4 - k. Let z be 2/v + (-7)/(-14). Calculate the greatest common factor of 9 and z.
1
Let i(w) be the first derivative of w**3/3 + 3*w**2 + 22*w + 10. Let d be i(10). Calculate the highest common factor of d and 26.
26
Let a(q) = -30*q**2 + q - 3. Let j(u) = u + 19. Let z be j(-10). Let g be a(z). Let r be 2/(-11) - g/22. Calculate the greatest common divisor of r and 10.
10
Let j(x) = 31*x**2 + 15*x + 9. Let u be j(-4). Suppose 0 = 3*c - 5*l - u, 5*l - 2 = 18. Calculate the highest common divisor of c and 62.
31
Let c be (-56)/(-1) - 3/3. Suppose -5*l = -c + 10. Let a = -8 + 53. Calculate the greatest common divisor of a and l.
9
Suppose r - 2*r = 0. Suppose m = -r*m + 1, -2*g - 5*m + 15 = 0. Calculate the highest common divisor of g and 35.
5
Let z be 0 + 0 + (-28)/4. Let a be (-187)/z - 2/(-7). Let g be 60/8*12/10. Calculate the highest common divisor of a and g.
9
Let o = 17 - 2. Suppose 2*i - 2*u - 6 = 0, 5*i - 10 - o = 3*u. Suppose 0 = -3*b, b + 18 + 158 = 2*h. What is the highest common factor of i and h?
8
Let y be (7/1)/(0 + 1). Let t be 3/2 - y/(-2). Let l(z) = z**2 - 15*z - 9. Let d be l(17). What is the highest common factor of t and d?
5
Let v be ((-6)/(-4))/((-30)/(-1600)). Suppose 2*y = -y + 201. Suppose n + 131 = 4*p, -n + y = 2*p - 2*n. What is the highest common factor of v and p?
16
Suppose 0 = -19*x + 6475 - 395. What is the highest common divisor of 20 and x?
20
Let p be (0/(-3))/3 - 0. Suppose -15 = -3*d - p*d, -7 = -y + d. Let f be 14/7 - (0 + -82). What is the greatest common divisor of y and f?
12
Let h = 29 - 16. Let x = 202 + -85. Calculate the highest common factor of x and h.
13
Let d be (-20 - 12)*1/(-2). Suppose -2*l - d = -q, l + l - 128 = -5*q. What is the greatest common factor of 72 and q?
24
Suppose -3432 = -60*n + 36*n. Suppose 3*f - 26 = f. What is the greatest common divisor of f and n?
13
Let d = 48 - -187. What is the greatest common divisor of d and 94?
47
Let q(p) = p**2 + 6*p - 229. Let k be q(-19). Calculate the highest common divisor of k and 432.
18
Suppose -2*k + 3*m = -38, 12*m = -3*k + 10*m + 70. What is the highest common divisor of k and 2816?
22
Suppose 1745 - 5147 = -9*h. What is the greatest common divisor of h and 42?
42
Suppose 9*r - 81 - 36 = 0. Let u(j) = j**2 - 11*j - 22. Let v be u(r). Let i = 2 + 0. Calculate the greatest common divisor of i and v.
2
Suppose 0*c + 2*h - 14 = -c, -13 = 3*c - 5*h. Let n(z) = -23 + 28 - 3*z + c*z. Let f be n(-3). Calculate the greatest common divisor of 2 and f.
2
Let j = -267 + 477. What is the greatest common factor of 14 and j?
14
Let v be (-4)/32*2 + 66/8. Suppose -2*f - x = -3, -5*f = 2*x - 7 - 0. Calculate the highest common divisor of f and v.
1
Suppose 12*l = 13*l + 112. Let d = -99 - l. Calculate the highest common factor of d and 13.
13
Let p(k) = 5*k**2 + 20*k - 8. Let h be p(-6). Calculate the highest common divisor of 13 and h.
13
Let g be ((-24)/16)/(3/2) - -76. What is the greatest common divisor of 45 and g?
15
Let q be (-203)/(-2) + (-6)/12. Let t = -65 + q. Calculate the greatest common factor of t and 6.
6
Let x(q) = 4*q + 3. Let l(c) = 9*c + 6. Let m(y) = 3*l(y) - 5*x(y). Let t be m(3). What is the greatest common factor of t and 192?
24
Let o be -1*(1*2 - (-10 + 15)). Let c be (-18)/o*(4 + -6 - 3). Calculate the highest common factor of 24 and c.
6
Let w = 724 + -694. What is the highest common factor of w and 95?
5
Suppose 0 = y + 32 - 26. Let d(c) = -c**3 - 4*c**2 + 8*c - 4. Let z be d(y). Calculate the highest common factor of z and 100.
20
Let g = 414 + -188. Let v = 378 - g. Suppose -5*i - 1 = l, 0 = -3*l + 3*i + 2*i + 77. What is the greatest common divisor of l and v?
19
Suppose 13*f = 2235 + 3511. Calculate the greatest common factor of 34 and f.
34
Let w be (-95)/2*(-4 + 3 + -1). Suppose 0 = -2*n + 3*n + 6. Let r be (n/(-4))/(3/76). What is the greatest common factor of r and w?
19
Suppose k + f - 164 = 2*k, -5*f - 476 = 3*k. Let p = k - -257. What is the greatest common factor of p and 38?
19
Suppose 84*m = 6749 + 559. Suppose -2*a = -112 - 4. What is the greatest common divisor of m and a?
29
Suppose -548 = -31*s - 83. Calculate the highest common divisor of s and 2055.
15
Suppose -75*q + 4097 = -3103. What is the greatest common factor of q and 84?
12
Let b = -897 + 1017. What is the greatest common factor of b and 192?
24
Let s(w) = -w**2 + 7*w + 13. Suppose 2*a + 22 = 4*b, 0*a - a = 5*b - 38. Let y be s(b). Calculate the greatest common factor of y and 104.
13
Suppose -53*v + 71*v = 1188. Calculate the highest common factor of v and 825.
33
Let z(f) = -5*f**2 + 3*f + 5. Let o be z(-6). Let i = o - -401. Calculate the greatest common factor of 26 and i.
26
Let z = 21 - 7. Let n = -2506 + 2508. Calculate the highest common divisor of z and n.
2
Suppose -4*r = -2*f - 0*f - 20, 3*r = -4*f + 26. Suppose r + 12 = y. What is the highest common divisor of y and 90?
18
Suppose 4*f = -20, 122 = 5*w + 3*f - 153. What is the greatest common factor of 986 and w?
58
Let a(h) = 3*h - 2. Let c be a(5). Let w = -17 + c. Let f = 16 + w. What is the highest common divisor of f and 8?
4
Let u(j) = -j**3 - 14*j**2 - 4*j + 1. Let v be u(-14). Suppose v - 198 = -3*p. Let q = -5 + p. Calculate the highest common divisor of q and 28.
14
Let o be 2/10 + -106*(-27)/90. Calculate the greatest common divisor of o and 16.
16
Let x be (-4)/6*