at is the highest common factor of j and 1?
1
Suppose -a + 1191 = 2*k, -4*a + 2*k - 7*k = -4776. Calculate the highest common divisor of 109 and a.
109
Suppose -34*a + 99*a - 6226 = 3329. Let r(w) = w**3 + 8*w**2 + 5*w. Let p be r(-6). What is the greatest common divisor of a and p?
21
Suppose 233*q + 678 = 234*q. Let a = q + -674. Calculate the highest common divisor of a and 236.
4
Suppose 7*o + 1634 = 45*o. Suppose -c + 50 = -79. What is the greatest common factor of o and c?
43
Suppose 0 = -45*r - 77318 + 301373. Calculate the highest common factor of r and 13.
13
Suppose -12*i + 8*i + 96 = -4*m, -i + 48 = 5*m. Calculate the highest common factor of i and 268.
4
Let l(b) = 2*b**2 + 24*b - 9. Let u(p) = -3*p**2 - 23*p + 8. Let q(a) = 4*l(a) + 3*u(a). Let j be q(22). Calculate the greatest common divisor of 147 and j.
49
Let s(m) = 624*m - 2251. Let x be s(4). What is the highest common factor of x and 770?
35
Suppose 323*k + 56052 = 377*k. What is the greatest common factor of 11072 and k?
346
Suppose 4*g + t = -21, g + g + t = -13. Let j be (-1*3/(-6))/((-2)/g). Calculate the greatest common divisor of 71 and j.
1
Let l be (-19)/(-76) - 7/(-4). Suppose 3*g - l*x = 170, 176 + 49 = 4*g - 3*x. What is the highest common divisor of 108 and g?
12
Suppose 2*r - 5 - 11 = 0. Let y be (70/r)/((-3)/(-24)). Suppose 5*v - 79 = -0*v - 3*s, -326*s = -323*s - 9. What is the highest common factor of v and y?
14
Let m be (204/(-60) + -5)/(3/(-5)). What is the greatest common factor of 182 and m?
14
Let v be (1 - 3/2)*0. Suppose v = -3*w + h + 234 + 822, -3*w - h + 1050 = 0. Calculate the greatest common divisor of w and 39.
39
Let i(t) = -t**2 + 3*t + 8. Let w be i(5). Let n be (w - 6*-41)*-1. Let q = n + 343. What is the greatest common factor of 9 and q?
9
Suppose 1467 + 1530 = 9*l. Suppose 4*v - 445 = -3*i, 45*i - l = -3*v + 42*i. What is the highest common divisor of 14 and v?
14
Let p = -178 + 181. Let i be 3 + (-246)/(-18) + (-2)/p. Calculate the greatest common divisor of 28 and i.
4
Let f(y) = 10*y**2 - 4. Let l = -21 + 25. Let x be f(l). Suppose 301 = 78*t - 635. Calculate the highest common divisor of x and t.
12
Suppose -3*q = -0*k - 3*k + 39, 0 = -k + 2*q + 8. Let w be 6/(-28) - (-192432)/4256. What is the greatest common divisor of w and k?
9
Let u be 1400570/26 - (-6 - 632/(-104)). What is the highest common factor of 268 and u?
268
Let i(f) be the second derivative of -6*f + 1/6*f**3 + 20*f**2 + 1/12*f**4 + 0. Let j be i(0). What is the highest common factor of 10 and j?
10
Let v be -4*(-3)/(-18)*75/(-10). Let w be 5/(-50)*4 + 142/v. Suppose 0 = 9*t - w - 8. What is the highest common divisor of 8 and t?
4
Let l be -20*(-147)/175*40/3. Suppose -t = -2*b - 4*t + 44, -5*b + 2*t + 148 = 0. What is the highest common factor of l and b?
28
Suppose 12 = -2*u, -j + 208 = -2*u - 597. What is the greatest common factor of j and 1098?
61
Suppose 0 = -5*p - 10, -290 = -2*q - 3*p - 0*p. Let d = 167 - q. What is the greatest common divisor of d and 95?
19
Suppose 0 = -5*p - 4*y + 850, 3*p + 4*y - 486 = 32. Calculate the highest common factor of p and 26.
2
Suppose -3*b = 3*m - 15, 2*m + 5*b - 4 = 15. Let r be (32/(-32))/(m/(-52)). Calculate the greatest common divisor of r and 104.
26
Suppose 2*q + 2*n - 62 + 12 = 0, 0 = 2*q - 5*n - 15. Let r(b) = 9 + 11*b - q + 6. Let f be r(2). Calculate the highest common divisor of f and 17.
17
Let a(b) = -248*b + 392. Let m be a(13). Let u be (4/(-7))/(m/2800 - -1). Calculate the greatest common factor of u and 50.
50
Let s = 8 + 3. Suppose -3*q = 4*a - 91, 3*a - 2*q - 53 = s. Suppose -11*r + 1124 = -1054. What is the greatest common divisor of r and a?
22
Let i(m) be the third derivative of -m**6/120 + m**5/5 + m**4/6 + 10*m**3/3 - 10*m**2. Let z be i(12). Calculate the highest common divisor of z and 17.
17
Let p(n) = -3*n**2 - 40*n - 72. Let m be p(-6). Calculate the greatest common factor of m and 1284.
12
Let n(u) = u**3 + 34*u**2 - 891*u + 37. Let q be n(18). Calculate the highest common divisor of 44 and q.
11
Let u be ((-3)/(-3) - 119)/(8 - 6). Let s = u + 63. Let b be (3/6)/((-3)/(-24)). Calculate the greatest common divisor of b and s.
4
Let z be 4/(-10) + (-293)/5. Let n = -24 - z. Let a be (-5 - 0)/1 + n. Calculate the highest common factor of a and 105.
15
Suppose -6583 = -4*f - t, -2*f - 4*t + 1287 = -1987. Let x(r) = r**2 + 4*r - 810. Let k be x(27). What is the highest common factor of f and k?
27
Let x(b) = 54*b + 1746. Let j be x(-31). Suppose r + r + 54 = 0. Let i = -9 - r. Calculate the greatest common factor of j and i.
18
Let m = 11413 + -11322. Let w = 39 - -13. Calculate the highest common factor of m and w.
13
Let p(r) = 12 - 9*r + 200*r**2 + 200*r**2 - 401*r**2. Let m be p(-9). Calculate the greatest common factor of m and 588.
12
Let a = -8972 - -9660. What is the greatest common divisor of a and 56?
8
Suppose 9*i - 4*k + 660 = 10*i, 5*i + 5*k = 3225. Calculate the highest common divisor of 40 and i.
40
Suppose 21*m - 4*a = 16*m + 356, -4*a - 212 = -3*m. What is the greatest common divisor of m and 246?
6
Let p = 72 - 14. Let r = 12 + p. Let l be -5*(-16)/(-120) - 192/(-18). Calculate the highest common factor of r and l.
10
Suppose -7*f + 408 + 138 = 0. Suppose -5*p = -3*p + f. Let v = -36 - p. What is the greatest common factor of 2 and v?
1
Let s(h) = 4*h - 57. Let u be s(14). Let j be (-156 - 2)/u + 1*-2. Calculate the greatest common factor of j and 390.
78
Let o be (-4 - -9) + 598 + -5. Calculate the highest common factor of 1898 and o.
26
Let h(l) = -16*l + 6. Let u be h(-5). Suppose -254*w - 74 = -256*w + 4*s, 0 = -4*w + s + 169. Calculate the highest common divisor of w and u.
43
Let k(r) = r**3 + 5*r**2 - 81*r + 166. Let m be k(7). Calculate the highest common divisor of m and 803.
11
Suppose 5*r - 484 = -184. Let s(a) = 21*a - 1. Let b be s(-1). Let u be 3 + (b/4 - -1)*-2. Calculate the greatest common factor of u and r.
12
Suppose -i + 28 = 5*k, 5*i = -2*k + 5*k - 28. Let j be 1 + 10/(-14) + (-39800)/(-350). Calculate the highest common factor of j and k.
6
Let q = -37453 + 37642. Calculate the greatest common divisor of q and 6561.
27
Suppose 3*a - 5*l - 163 = 0, 4*a + 2*l = a + 170. Let w be -15 - (-2 - 13) - -70. What is the highest common factor of a and w?
14
Suppose 625 = 5*p + 5*y + 205, 315 = 4*p - 3*y. Calculate the highest common divisor of 4320 and p.
27
Let g = 233 + -219. Suppose 21 - 1 = 5*v. Let q(c) = -c**3 + 7*c**2 - 6*c + 4. Let j be q(v). Calculate the highest common divisor of g and j.
14
Suppose 61 = -4*d - 3*z, 5*z + 32 = -4*d - 35. Let q(t) = 3*t + 42. Let f be q(d). Let w be 500/12*(0 + f). Calculate the highest common factor of 50 and w.
25
Suppose 0*g = 2*g - 2. Let u(a) = a**2 + 21*a - 74. Let v be u(-22). Let h = 57 + v. What is the highest common divisor of h and g?
1
Suppose 5*w = 9*w - 4. Let x be ((-386)/6*w)/(1/(-3)). Let b be (-19)/114 - x/(-6). Calculate the greatest common divisor of b and 80.
16
Suppose 389*u - 394*u + 365 = -5*s, -6*u + 3*s = -399. Suppose -4*y + 733 = -307. What is the highest common factor of y and u?
20
Let d(a) = -3*a**2 - 14*a + 387. Let j be d(-13). Calculate the highest common factor of j and 2325.
31
Suppose 7*h - 2*h = 100. Suppose -m + 6 = 0, 2*m - 964 = -4*v - 7 - 65. What is the highest common factor of v and h?
20
Let h(s) = 2*s**3 + 195*s**2 + 125*s + 2795. Let a be h(-97). What is the greatest common factor of a and 9954?
79
Let w be 10*(-1)/(-4)*2. Let r = 167 - 175. Let l(t) = 30*t + 265. Let s be l(r). What is the greatest common factor of w and s?
5
Let g be (-1)/(2/(-24)) - -1. Let p = g - 2. Let d be (4*2/(-4))/((-2)/p). What is the highest common factor of 99 and d?
11
Suppose 460*u - 6284 - 3436 = 424*u. What is the greatest common factor of u and 720?
90
Let n(w) be the third derivative of -19*w**4/24 - 103*w**3/6 + 95*w**2. Let h be n(-6). Calculate the greatest common factor of h and 341.
11
Let k = -2342 + 1630. Let n = k - -1017. Calculate the highest common divisor of n and 183.
61
Suppose -26*f + 3416 = -21024. Let c = -651 + f. Calculate the highest common divisor of c and 17.
17
Suppose 2*t = 3*x - 26, -5*t + 8 = -x - t. Suppose 2*h - 4*d - 360 = 0, -17573*h + 2*d + 504 = -17570*h. What 