 Calculate the remainder when x is divided by 11.
8
Suppose 2*q - q = -3*u + 103, 0 = 2*u + 2*q - 70. Suppose -n = 19 - 118. Calculate the remainder when n is divided by u.
31
Let c be 546/65 + (-2)/5. Suppose -w = 2*l - 5*w - c, 5*l - 44 = 2*w. Suppose l*p + 154 = 12*p. Calculate the remainder when p is divided by 20.
17
Suppose 4*h - 19*h + 870 = 0. Calculate the remainder when 115 is divided by h.
57
Let z = 73 + -50. Let l(m) = 78*m - 4 - 2*m**2 - 41*m + 3*m**2 - 34*m. What is the remainder when z is divided by l(2)?
5
Let v = -15 - -21. Let h(a) = -5*a - 322. What is the remainder when h(-75) is divided by v?
5
Let h = 875 + -822. Calculate the remainder when 168 is divided by h.
9
Suppose 3*t + 0*d - 2 = d, -5*d = -5*t - 10. Suppose -a - 10 = -t*a. Calculate the remainder when 12 is divided by (5/a)/(2/20).
2
Calculate the remainder when 21 is divided by (-5 - -4) + 19 + -5.
8
Let j(o) be the third derivative of -o**5/60 - 13*o**4/24 - 10*o**3/3 - 11*o**2. Calculate the remainder when j(-7) is divided by 6.
4
Suppose 3*k = 5*a - 4*a + 13, -3*a + k = -1. Suppose 5*u = -a + 17. Calculate the remainder when 28/10*45/18 is divided by u.
1
Suppose 17*d = 65*d - 816. Calculate the remainder when 420 is divided by d.
12
Let c = 30 + -17. Let r = 25 + -25. Suppose r = 4*o + 14 - 106. What is the remainder when o is divided by c?
10
Suppose 1482 = 48*r - 22*r. Let c(b) = -11*b - 3. What is the remainder when r is divided by c(-3)?
27
Suppose o = -3*b + 5*b - 270, -b = -2*o - 132. What is the remainder when b is divided by 37?
25
Let i(a) = -81*a - 259. Calculate the remainder when 263 is divided by i(-4).
3
Suppose 22*r + 725 = 5807. Calculate the remainder when r is divided by 117.
114
Suppose -2*k - 335 = -445. What is the remainder when 1 + 216 - (-2 - -2) is divided by k?
52
Let a = -2 - 23. Let f = a + 26. Calculate the remainder when (18/(-27))/(f/(-51)) is divided by 9.
7
Let t = -131 + 169. What is the remainder when 71 is divided by t?
33
Let j(f) = 4*f + 106. What is the remainder when 230 is divided by j(-25)?
2
Suppose -3*w + 11*w = 24. Suppose -2*d = 0, 0 = w*m + d - 3*d - 18. What is the remainder when m is divided by 2?
0
Let b(q) = -2*q**3 - q**2 + 5*q + 3. Let k(o) = 3*o**2 - 4*o - 32. Calculate the remainder when k(8) is divided by b(-3).
29
Suppose t = 6*t + 4*g - 33, -5*g = 3*t - 25. Calculate the remainder when 76 is divided by 103/t + ((-12)/20)/1.
16
Let q(x) = -2*x**3 - 4*x**2 + 3*x - 4. Let w be q(-4). Let t = w - 16. Suppose -t = -5*m + 38. What is the remainder when m is divided by 4?
2
Let w = 1491 - 1430. Calculate the remainder when w is divided by 39.
22
Suppose -c - 1 = -0, -4*r = 2*c - 34. Suppose -s - 2 = 0, -5*s + 0 - 3 = y. Suppose y + 5 = 3*j. What is the remainder when r is divided by j?
1
Let r be (0/1)/(-5 - -7). Suppose 5*o = -r*o + 55. Let q = o - -9. Calculate the remainder when q is divided by 11.
9
Suppose 3*z - 3 = -12. What is the remainder when (z - (-2)/2) + 52 is divided by (-2)/(-8)*70 - (-1)/(-2)?
16
Suppose -g + 9 + 49 = 4*z, -32 = -2*z - 2*g. Let f = z + -6. What is the remainder when 45 is divided by f?
5
Let p = -55 - -64. Calculate the remainder when 1124/36 - (-6)/(-27) is divided by p.
4
Calculate the remainder when 90 is divided by 28/(-14)*344/(-16).
4
Let l be 3/(-2)*(-64)/(-3). Let p = -11 - l. Calculate the remainder when (0 - (-1 + 1)) + 62 is divided by p.
20
Let j = -62 - -70. Suppose 0 = -j*s - 0*s + 328. What is the remainder when s is divided by 11?
8
Suppose 3*m - 134 = -0*m + 4*o, 3*o = 2*m - 88. Suppose -45*p - 65*p + 990 = 0. What is the remainder when m is divided by p?
5
Let k(g) = g**2 - 16*g - 2. Let m be k(17). Let y = m + -1. What is the remainder when 27 is divided by (-14 + 12)/((-4)/y)?
6
Suppose 10 - 14 = -2*r. Suppose -r*o - 15 = 3*o, -3*o - 17 = -2*y. Suppose l = y*l - 63. Calculate the remainder when 60 is divided by l.
18
Let g(r) = -r**3 + 12*r**2 - 18*r - 10. Let s be g(11). Let x = s - -104. Calculate the remainder when 61 is divided by x.
10
Let u = 474 + -387. Calculate the remainder when 156 is divided by u.
69
Let r = 991 - 707. What is the remainder when r is divided by 32?
28
Suppose 5*w - u = 15, w + w = -u + 6. Suppose 3*p + w*m = 243, 3*p + 4*m + 23 = 261. Calculate the remainder when p is divided by 29.
28
Let r(j) = j**2 - 8*j + 17. Let n be r(7). Calculate the remainder when -4 - n*(-46)/4 is divided by 19.
16
Let b = -5 - -10. Suppose 5*w = 25 - b. What is the remainder when 3/(-3)*(-39)/3 is divided by w?
1
Let v = -28 + 30. Suppose -u + 2*z + 4 = 5*z, -v*z = u - 4. What is the remainder when 13 is divided by u?
1
Suppose 0 = y - 0 - 3. Let s(t) be the first derivative of -t**3/3 + 3*t**2 + 4*t + 10. What is the remainder when s(4) is divided by y?
0
Let d(f) = -f**3 + 10*f**2 + 16*f - 32. Let a = 0 - -12. What is the remainder when d(11) is divided by a?
11
Let d = -3 - 59. Let j = 88 + d. Suppose 0 = -2*o + 3*o - 51. Calculate the remainder when o is divided by j.
25
Let s be 1178/(-285) - 4/(-30). Let u be (-4)/8 - (-34)/s. Let p = 32 + u. Calculate the remainder when 67 is divided by p.
21
Let t(s) = s**3 - 5*s**2 - 9*s - 9. Suppose -36 = 4*h - 180. Suppose -4*m + 0*m = -h. What is the remainder when t(7) is divided by m?
8
Let k = 37 - -2. Let p = k - 10. What is the remainder when 173 is divided by p?
28
Let w(v) = 9*v**3 - 1. Let h be 800/44 - (-16)/(-88). What is the remainder when (-4)/6 + 246/h is divided by w(1)?
5
Suppose -24 = -2*h - 2. Let a be (72/30 - 2)/((-2)/(-420)). Suppose 0*w = 2*w - a. Calculate the remainder when w is divided by h.
9
Let w(j) = j**3 + j**2 - 15*j + 62. Calculate the remainder when w(6) is divided by 38.
34
Suppose 999 = 5*u - r - r, u = -5*r + 216. What is the remainder when u is divided by 52?
45
Let y = 508 + -147. What is the remainder when y is divided by 13?
10
Let u(k) = -44*k - 12. What is the remainder when u(-5) is divided by 42?
40
Suppose -12*p - 45 = -333. Calculate the remainder when 139 is divided by p.
19
Let m(l) = 39*l - 756. Calculate the remainder when m(23) is divided by 49.
43
Suppose -111 = 11*i + 43. Let l(z) = z**3 + 13*z**2 - 17*z - 1. Calculate the remainder when 80 is divided by l(i).
39
Suppose 156*l - 148*l - 1128 = 0. What is the remainder when l is divided by 36?
33
Suppose -19*j = -11*j - 120. Let q(t) be the second derivative of t**5/20 - 7*t**4/6 - 5*t**3/2 + 2*t**2 - t. Calculate the remainder when 7 is divided by q(j).
3
Let u = 45 - 123. Let h = u - -92. Calculate the remainder when 81 is divided by h.
11
Let h = 62 - 56. Suppose -3*k + h*k - 42 = 0. What is the remainder when 67 is divided by k?
11
Suppose -89*q + 672 = -73*q. What is the remainder when 86 is divided by q?
2
Suppose -108*o - 13751 + 5731 = -509*o. What is the remainder when o is divided by -2 - 6*6/(-4)?
6
Let i be (0/(-7))/(2*-1). Suppose -4*h + 9*h = i. Suppose a - 1 = -m, 3*a + h*a = 5*m - 37. What is the remainder when 14 is divided by m?
4
Suppose -2*n + 4*x + 7 + 21 = 0, -5*n + 2*x = -46. Let r = -1 + n. What is the remainder when r is divided by 4?
3
Let o = -16 - -26. Let t = -94 + 183. Suppose -4*n + 64 = -5*i - t, -2*n + 78 = -4*i. Calculate the remainder when n is divided by o.
7
Let o(x) = x**3 - 4*x**2 - 25*x + 9. Let i(p) = p**2 - 2*p + 7. What is the remainder when o(8) is divided by i(5)?
21
Let o = 1581 + -1517. Calculate the remainder when o is divided by 11.
9
Let m = 96 - 66. Suppose -p = -4*t + 156, t + 3*p - m = p. Calculate the remainder when t is divided by -1 + (13 - -3)/4 + 11.
10
Suppose 212 = -2*l + 3*o, -o = -2*l + 3*o - 212. Let g = -84 - l. Calculate the remainder when 131 is divided by g.
21
Let k be 0 + -321 - (-15)/5. Suppose -5*z - 4*b = -76, 4*z + 0*z = 2*b + 40. Calculate the remainder when ((-4)/z)/(2/k) is divided by 14.
11
Let q(p) = -2*p**3 - 66*p**2 - 3*p - 31. Calculate the remainder when q(-33) is divided by 8.
4
Suppose -5 = 4*c + c - 3*j, -4*c - 12 = -4*j. Suppose 5*i + 4*l = 22, c*i = -2*l + 11 - 3. Let g = 0 - -7. What is the remainder when g is divided by i?
1
Let w = 3 - -30. Suppose -z - 2*z = -w. Let k(i) = i**3 - 9*i**2 - 10*i + 41. What is the remainder when k(10) is divided by z?
8
Suppose 16 = 4*j, 5*n - 37 = 3*j - 6*j. Suppose 9 - 4 = u. S