00. Calculate the greatest common factor of k and 42.
42
Let z(d) = 2*d**2 - 7*d + 8. Let l be z(8). Let n be 2 + -2 - (2 + -1). Let q be -1*((-2 - 7) + n). Calculate the highest common divisor of l and q.
10
Let u(i) = i + 2. Let m be u(-5). Let b = m + 6. Suppose -h = 2*z - 21, -2*z - 63 = -b*h + 3*z. Calculate the highest common factor of 21 and h.
21
Let l = 63 + -39. Suppose 13*v = -36 + 114. Calculate the highest common factor of l and v.
6
Let a be (-334)/(-26) - (-4)/26. Suppose -6*s + 19 = b - 2*s, -a = -3*b - s. Calculate the greatest common factor of b and 1.
1
Suppose -996*t = -998*t + 182. Suppose 7*v - 3*v - 52 = 0. What is the highest common divisor of v and t?
13
Suppose 4*l = 4*k + 72, 2*k - 58 - 26 = -4*l. Calculate the greatest common divisor of l and 260.
20
Let n = 499 + -411. What is the highest common factor of n and 8?
8
Suppose 0 = s + 5*b - 15, -16*b + 11*b = -s + 55. What is the greatest common factor of 5 and s?
5
Let s be -105 - -6*2/4. Let w = 152 + s. Suppose q = 21 - 1. What is the greatest common factor of q and w?
10
Suppose 5*v - 4 = 6. Suppose -16 = -v*u - 2*u. Let n be 1/u + (-417)/(-12). Calculate the highest common divisor of n and 7.
7
Let c be 4/(-10) - (-574)/35. Let o(s) = -4*s**2 + 3*s + 4. Let l be o(-1). Let i be 56*1/l*-6. Calculate the greatest common divisor of i and c.
16
Let s = -1 - -4. Suppose -18 + 6 = -4*m + 2*d, -9 = -s*m - 5*d. Suppose -3*x = -q - 2, -m*x - 5*q + 4 = -22. What is the highest common divisor of x and 10?
2
Let l(d) = -1 + 3*d - 2*d + d**3 - 5 + 8*d**2. Let z be l(-7). Suppose 0*r - 69 = -3*b - r, -117 = -5*b - r. Calculate the greatest common divisor of b and z.
12
Let o = 761 - 533. Suppose -300 = -4*j + o. Let z = j - 21. Calculate the greatest common divisor of z and 74.
37
Suppose -4*q - 4*m + 308 = 0, 0*q - 97 = -q + 3*m. Let d = q + -2. Let b be 4/((-4)/14*(-21)/15). Calculate the greatest common divisor of b and d.
10
Suppose 6 = 2*z - 4*u, 7*z - 5*u = 5*z + 9. Suppose 15 = -0*k - 5*k. Let y be ((-1 - k) + z)*-18. Calculate the greatest common factor of 2 and y.
2
Suppose -k - 5*t = -16, 0 = 2*t + t - 6. What is the highest common factor of 9 and k?
3
Suppose 5*d = -g + 3, -g + 36 = 3*g - 4*d. Calculate the highest common factor of g and 18.
2
Suppose -47*z + 37400 = -3*z. What is the greatest common divisor of 50 and z?
50
Suppose -145*s + 304 = -143*s. Calculate the highest common factor of s and 16.
8
Let b = -61 + 62. Let y be (-2 - (-1)/b) + (-5 - -90). What is the highest common divisor of y and 12?
12
Suppose -141*z = -143*z + 882. What is the highest common divisor of 14 and z?
7
Suppose -6*w - 154 = -20*w. Let s be (-3 - -6)*1/3. What is the greatest common divisor of w and s?
1
Suppose 8*r = q + 4*r - 1, 3*q - 78 = -3*r. Let i(o) = -231*o**3. Let z = 0 + -1. Let m be i(z). What is the greatest common divisor of m and q?
21
Let h be 2 + 8/4 - 0. Let g(m) = m - 5. Let c be g(25). What is the greatest common divisor of h and c?
4
Let c = -1 + 37. Suppose 0 = -v + 2*i - 0 - 4, 0 = -5*v - 4*i + 36. Suppose -3*z + 2*z = -2, v*z - 62 = -p. What is the highest common divisor of c and p?
18
Let p(v) be the third derivative of -13*v**4/8 - 8*v**3/3 - 16*v**2. Let b be p(-4). What is the greatest common factor of b and 28?
28
Let k = 392 - 390. Calculate the greatest common factor of 3 and k.
1
Suppose 0 = j - 4*c - 15, 5*j + 0*c = 4*c - 5. Let p(i) = -i - 1. Let h be p(j). What is the greatest common divisor of h and 12?
4
Let f be ((-1024)/56 + (-10)/(-35))*-3. Calculate the greatest common factor of 42 and f.
6
Let r be -12 + 8 + 1 + 61. Suppose -3*i + r = 2*g, -2*i + 33 = i - 3*g. What is the highest common factor of 32 and i?
16
Suppose 0 = -l - 3*q + 106, -62 = -3*l - 2*q + 263. Calculate the highest common factor of l and 2725.
109
Let n(s) = -6*s**3 + 5*s**2 - s. Let u be n(2). Let l = u - -105. Calculate the highest common factor of 25 and l.
25
Let c be ((-8)/3 - 0)*-3. Suppose -6*o - 216 = -9*o. What is the greatest common factor of o and c?
8
Suppose -5*t + 387 = -6*p + 8*p, 5*t - 4*p - 411 = 0. Let i = t - 72. Suppose -5*l + l = -140. What is the highest common divisor of l and i?
7
Suppose -2434*c + 162 = -2416*c. Suppose -11 = -2*m + 7. What is the highest common divisor of c and m?
9
Let m be ((-2)/(-4))/(5/(-10)). Let j be 8/(-2) + (1 - m). Let p be j/(((-9)/24)/3). What is the highest common divisor of p and 144?
16
Let t(v) = -v**3 + 23*v**2 + 79*v + 8. Let k be t(26). What is the highest common divisor of 4 and k?
2
Suppose 0 = -5*t - m + 77, 0 = 6*t - 3*t + m - 45. What is the highest common divisor of t and 896?
16
Suppose -1359 = -3*v + 405. What is the greatest common divisor of 7 and v?
7
Let y = 50 + 16. Let j be 28/126*(2 - -7). Suppose 0 = -4*u - 2*r + 180, -4*r + 52 = j*u - u. Calculate the greatest common divisor of u and y.
22
Let u(j) = -j**3 + 4*j**2 + 4*j. Let d be (-2)/(-2 + 20/8). Let l be u(d). Calculate the highest common divisor of l and 16.
16
Let f(q) = -102*q + 94. Let t be f(-3). What is the greatest common factor of t and 50?
50
Let h be (-1 + -2)/((-3)/(-4)). Let j(i) = i**3 + 3*i**2 - 5*i + 2. Let n be j(h). Let b be -2 + -3*136/(-24). Calculate the greatest common factor of n and b.
3
Let j(t) = -3*t + 4. Let m be j(-4). Let s = 100 + 8. Let i be (8/6)/(9/s). Calculate the highest common divisor of i and m.
16
Let y be ((-1638)/(-84))/((-1)/(-18)). What is the highest common factor of y and 13?
13
Let r be 8/28 + 309/21. Let p(d) = 2*d + 10. Let u be p(10). What is the greatest common divisor of r and u?
15
Suppose -w - 8 = 4*b - 20, 0 = 5*b + w - 16. Let y(a) = a + 8. Let o be y(-7). What is the greatest common factor of o and b?
1
Let i be 360/4 - 0 - (-4 - 1). Calculate the highest common factor of 95 and i.
95
Let o = -117 + 128. What is the highest common factor of o and 44?
11
Let y(r) = 19*r - 48. Let z be y(4). Calculate the highest common factor of 36 and z.
4
Let z = 1016 + -680. What is the highest common divisor of 64 and z?
16
Let i be 4 + 927/6 + 1/2. Let n = i - 115. What is the greatest common divisor of n and 66?
22
Suppose -6*u - 2 = -8. Suppose -9*p - 98 = -23*p. What is the greatest common divisor of u and p?
1
Suppose 3*z = -z + 16. Suppose d - 10 = -z*d. Let x be -3*d/(-6)*17. Calculate the highest common divisor of x and 136.
17
Suppose 4*i - 8*i = -p - 25, -i = p. Calculate the greatest common divisor of i and 1.
1
Let b(l) = 7*l - 9 - 4*l + l - 3. Let y be b(8). Let d(v) = -9*v - 49. Let m be d(-11). What is the highest common divisor of m and y?
10
Let y be (-2)/(6/3) - -15. Let z = y - 29. Let k = z - -19. Calculate the highest common factor of 1 and k.
1
Suppose p = u - 87, -4*u = -p + 4*p - 369. Let x = 15 - 5. What is the greatest common divisor of u and x?
10
Let q = -25 + 19. Let w be (q - -4 - -1)*-34. Let x be (-5424)/(-64) - (1 - 10/8). Calculate the highest common factor of w and x.
17
Suppose -3*k = -3*u + 18, -3*u - 12 = k + 6. Let q be 12/16*2*(-528)/k. What is the greatest common factor of 11 and q?
11
Suppose -6*g - 10 = -3*n - g, -5*n + 2*g + 23 = 0. Let a = -133 + 188. What is the greatest common divisor of n and a?
5
Suppose 715 = -85*c + 150*c. Calculate the greatest common divisor of c and 473.
11
Suppose -3*i = 5*r - 20, 0*r + 4*r - 24 = -4*i. Suppose i*y = y + 232. What is the greatest common divisor of y and 145?
29
Suppose 89*n - 2716 = 61*n. What is the highest common divisor of 3104 and n?
97
Let g(r) = -r + 13. Let l be g(8). Suppose l*u - b = 14 + 8, -4*u + 4*b = -24. Suppose -3*i - 2 = -u*i. Calculate the greatest common factor of i and 4.
2
Let c = -408 + 418. What is the highest common divisor of 2 and c?
2
Let h(q) = 25*q + 22. Let k be h(4). Suppose -2*n - 3*y = -k, -4*y + 10 + 6 = 0. What is the greatest common divisor of 22 and n?
11
Suppose 0 = 170*c - 178*c + 272. What is the highest common divisor of 34 and c?
34
Let x be ((-5)/(-4) - 1) + (-294)/(-392). Let r(i) = i**3 + 5*i**2 - 8*i - 5. Let u be r(-6). What is the highest common factor of x and u?
1
Suppose -3*o + 5*o - 22 = 0. Suppose -3*z + 243 = 3*c, -5*c + 120 = 3*z - 131. What is the greatest common factor of o and z?
11
Let h(v) = v**2 + 6*v + 5. Let l be h(-8). Suppose -6 - 26 = 4*z. Let t = z