is divided by 12?
10
Suppose 0 = -12*f + 26*f + 84. Let h(r) = -25*r - 45. What is the remainder when h(f) is divided by 12?
9
Suppose 64539 = 1003*b - 61839. Suppose 2 = 2*s - 20. Calculate the remainder when b is divided by s.
5
Suppose -64*k - 100 = -69*k. Calculate the remainder when 71 is divided by (15/(-20))/((-1)/k).
11
Let q = 8 - 14. Suppose 0 = f + 5*u + 17, 15*u + 93 = -3*f + 14*u. Calculate the remainder when 66 is divided by (-36)/(-8)*f/q.
18
Let u = 213 + -122. Suppose 4*v = 5*v - h - 8, 5*h + 34 = 4*v. Let o(k) = -7*k + 58. Calculate the remainder when u is divided by o(v).
11
Let j = -27756 - -29317. Calculate the remainder when 6255 is divided by j.
11
Suppose -7*y - 780 = -20*y. Let w be (-22)/143 - (-100)/(-26). Calculate the remainder when y is divided by (-121)/w + (-30)/(-40).
29
Let t(m) = 2*m**3 + 45*m**2 - 24*m - 18. Let a be t(-23). Suppose -x = 3*q - 166, -a*q + 9*x - 7*x = -262. Calculate the remainder when q is divided by 8.
6
Let m(y) = 6*y + 44. Let d be m(4). Suppose -43*r + 4884 = d. Calculate the remainder when r is divided by 41.
30
Let g(o) = 2*o**2 - 11. Let d be g(3). Suppose 3*v - 3*t - 984 = 0, -6*t = -d*t - 3. Calculate the remainder when v is divided by 159.
7
Let y(v) = v**2 - 17*v - 20. Suppose -5*u + 5*f + 120 = 0, -4 = -3*f + 4*f. Calculate the remainder when 317 is divided by y(u).
37
Let t be (-4)/4*1*3. Let s(p) = 11*p**2 - 14*p - 38. Let u(g) = 5*g + 2. What is the remainder when s(t) is divided by u(5)?
22
Let p(v) = -7*v**3 + 2*v**2 - 2*v - 3. Let o(x) = -x**2 - 9*x - 6. Calculate the remainder when o(-6) is divided by p(-1).
4
Let w(z) = z**2 - 12*z + 13. Let u(v) = v**2 + 2*v - 35. Let t be u(-8). Calculate the remainder when 153 is divided by w(t).
23
Let n(h) = 2*h**2 - 6*h + 7. Let m be n(5). Suppose 0*x = x + 5*q - 37, 2*q = 0. Calculate the remainder when x is divided by (m - 1)/2 + (-19 - -20).
9
Suppose 100 = -16*x + 1156. Calculate the remainder when x is divided by (-32)/(-1) - (1 - 4).
31
Let c be (1 - 0) + 2 - -27. Let f be (-37 - -87) + 3 + -1 + -2. Let l = f - c. What is the remainder when l is divided by 11?
9
Let b be (-4 + (-214)/(-5))*(-15)/(-3). Suppose 3*j - u = -197, 0 = -4*j + j + 4*u - b. Calculate the remainder when 62 is divided by (-1)/(4/j) + 3/6.
11
Let b = -105 + 178. Suppose -54*x + y = -59*x + 1063, -x = 5*y - 203. What is the remainder when x is divided by b?
67
Let d = 9889 + -1136. What is the remainder when d is divided by 17?
15
Let d(g) = 10*g**2 + 22*g - 75. What is the remainder when d(-6) is divided by 105?
48
Suppose 2*y + 3*y - 25 = 2*s, 0 = -4*s - y + 5. Suppose -4*o + 5*o - 4 = s, -q = 3*o - 12. Let g = 58 - q. Calculate the remainder when g is divided by 21.
16
Let k = 9079 - 9017. Calculate the remainder when 282 is divided by k.
34
Suppose -5*g = -13*g + 64. Let b(c) = -6*c - 27. Let v be b(g). What is the remainder when (-356)/(-5) - (-3)/v*5 is divided by 24?
23
Let v(k) = 90*k + 1375. Calculate the remainder when 32773 is divided by v(-14).
113
Calculate the remainder when 2*(-7)/(-2)*(-6160)/(-539) is divided by 21.
17
Let u(y) = y**2 - y + 5. Let j(o) = -o**3 - 8*o**2 - 9*o. Let f = -6 + -1. Calculate the remainder when j(f) is divided by u(0).
4
Let f = 311 - 1416. Let r = -1060 - f. Suppose 5*c - 1120 = -5*o - 0*c, 5*o - c - 1120 = 0. Calculate the remainder when o is divided by r.
44
Suppose 0 = -3*r + 5*v + 120 + 90, 140 = 2*r + 4*v. Suppose -67 = -19*f + 275. Calculate the remainder when r is divided by f.
16
Let m = -30 + 35. Suppose m*p + 176 = -39. Let a = 46 + p. What is the remainder when 10 is divided by a?
1
Let t(g) = -3*g**3 + 25*g**2 - 5*g - 3. Let q(v) = -2*v - 12. Let n be q(-10). Calculate the remainder when 186 is divided by t(n).
18
Suppose -3*y = -12, 2*k - 1468*y - 10014 = -1464*y. Calculate the remainder when k is divided by 57.
56
Suppose 24*q + 1296 = 16*q. Let h = -89 - q. What is the remainder when h is divided by 31?
11
Let y(p) = p**3 + 22*p**2 + 18*p - 57. Let f be y(-21). What is the remainder when 593/f + (-9 + 2)/(-42) is divided by 37?
25
What is the remainder when 603 is divided by 273/(39/3) - -10?
14
Suppose -3*m - 5*n = -333, -m + 3*m + n - 208 = 0. What is the remainder when 370 is divided by m?
67
Suppose 0 = 4*j - 3*h - 1315, j = 5*j - h - 1313. Suppose -2*p + j = -2*s, 346 = 4*p + 5*s - 355. Calculate the remainder when p is divided by 53.
10
Let x = -6208 - -6311. Calculate the remainder when 1742 is divided by x.
94
Suppose -2*c - 5*p = -4779, -c + 72*p + 2391 = 73*p. What is the remainder when c is divided by 36?
16
Suppose 5*m - 16 = m. Suppose -2*x + m*u + 53 = -u, 0 = -4*x + 3*u + 113. What is the remainder when 287 is divided by x?
26
Suppose -14 = 3*n - 68. Let r = -46 - -55. Suppose -r*s = -471 + 21. Calculate the remainder when s is divided by n.
14
Let s = -52514 - -52571. What is the remainder when s is divided by ((-50)/8)/1*-4?
7
Suppose 0 = 3*q, d - 5 = 6*d + 5*q. Calculate the remainder when (-6800)/(-25) + d/(2/8) is divided by 54.
52
Let v(w) be the second derivative of -w**3/3 + 21*w**2/2 - 17*w - 5. What is the remainder when 42 is divided by v(2)?
8
What is the remainder when 482 is divided by 6/51 - (16/(-160) - 37193/170)?
44
Calculate the remainder when -1 + 1 + 2 + (6 - -33) is divided by 8/(-14) - (-616)/49.
5
Let f(b) = b**2 - b - 2. Let s be f(2). Let t be -15*(3*-8)/1. Suppose -11*y + 7*y + t = s. What is the remainder when y is divided by 7?
6
Let w = -9429 + 9456. Calculate the remainder when (-4 + 1 - -2)*-49 is divided by w.
22
Suppose 4*j + 3*u - 1387 = 0, -84 = -5*u - 59. Calculate the remainder when j is divided by 105.
28
Suppose 0 = 15*w - 30 - 0. Let y(h) = 13*h + h**3 + 3*h**3 - 5*h**w - 11*h - h**2. What is the remainder when 107 is divided by y(2)?
11
Suppose -153*o + 127*o = -103064. What is the remainder when o is divided by 658?
16
Let f(p) be the second derivative of -p**4/12 - 13*p**3/6 - 10*p**2 - 12*p. Let w be f(-11). Let q = 28 + w. What is the remainder when 56 is divided by q?
26
Suppose -3*l + 3*a + 169 + 20 = 0, -8*a - 112 = -l. What is the remainder when 220 is divided by l?
52
Suppose 4*p - 777 = -3*s, -4*p + 756 = -5*s + s. Let u = 19 + -6. What is the remainder when p is divided by u?
10
Let h(z) = -3*z - 10. Let o be h(-4). Suppose 5*r = 2*m, -o*r - 2*r + 13 = m. Suppose r*k = k + 23. What is the remainder when k is divided by 13?
10
Let w = -232 + 487. Let q = 318 - w. What is the remainder when q is divided by 17?
12
Let k(v) = v**2 - 12*v - 20. Let f be k(14). Let t(g) = -3*g - 15. Let s be t(f). Let u = s + 41. Calculate the remainder when 7 is divided by u.
1
Let s(b) = b**2 - b - 7734. Calculate the remainder when 184 is divided by s(-88).
86
Let h(b) = b**2 + 9*b + 4. Let f be h(0). Let z(x) = 42*x - 77. Calculate the remainder when z(f) is divided by 19.
15
Suppose 22*w + 76 - 1027 - 17 = 0. Let p(x) = -20*x - 5. Let m be ((-15)/12 - 1)*4. Calculate the remainder when p(m) is divided by w.
43
Suppose -23*i + 24*i = 0, -4*g - 4*i + 4324 = 0. Calculate the remainder when g is divided by 34.
27
Let g be 1 - 0 - 4 - 0. What is the remainder when (6 + (4 - 9))*19 is divided by 2/g*(-63)/6?
5
Suppose -5*f + 102 = -3*f. Suppose -9*d = -7*d + 4*r - 414, -2*d + 2*r + 402 = 0. What is the remainder when d is divided by f?
50
Let i = 178 + -119. Suppose -2*c + i - 27 = 0. What is the remainder when (-154)/(1 + 2 + -5) is divided by c?
13
Suppose 0 = -0*t - 3*t + 942. Calculate the remainder when t is divided by (-9)/(532/49 - 11).
62
Calculate the remainder when (-240)/(-40)*((-5)/(-15))/((-2)/(-412)) is divided by 150.
112
Let p be (-3)/(6/(-8))*(-41 - -58). Suppose 224 = 13*i + p. Let m(k) = -2*k**2 + 25*k + 3. What is the remainder when 58 is divided by m(i)?
13
Let s = -43 + 64. Let m(i) = -i + 30. Calculate the remainder when 0/(1 - -4) + 16 is divided by m(s).
7
Let q = 4538 + -2679. What is the remainder when q is divided by 60?
59
Let d(p) = p + 16512. What is the remainder when d(205) is divided by 152?
149
Let t = 932 + -748. Calculate the remainder when t is divided by 65.
54
Suppose 2*c - 4 = 0, 12*c = -262*p + 263*p - 67. Calculate the remainder when 4093 is divided by p.
89
Let c = 2873 - 2843. Calculate the remainder when