4. Let l = -83 + 100. Let d = l + -12. What is the remainder when d is divided by r?
1
Suppose 0 = p - 2 - 22. Suppose -27*f + 60 = -p*f. What is the remainder when f is divided by 11?
9
Suppose g = 5*o - 2260, 7*o = 2*o + 2*g + 2255. What is the remainder when o is divided by 22?
13
Let u = -279 + 355. What is the remainder when u is divided by 17?
8
Let a(u) = u**3 - 7*u**2 + 9*u - 6. Suppose -25*s = -z - 28*s + 39, 2*z + s - 63 = 0. Calculate the remainder when z is divided by a(6).
6
Suppose 7*c = 6*c + 52. Let p = 22 + -20. Suppose -p - 79 = -3*n. Calculate the remainder when c is divided by n.
25
Calculate the remainder when (11/((-11)/186))/(1*-2) is divided by 28.
9
Suppose 6*p - 439 = -109. What is the remainder when 62 is divided by p?
7
Let f = -86 + 121. What is the remainder when f is divided by 11?
2
Let g(n) = n**2 - 32*n + 99. Let z(v) = v**2 - 8*v + 8. Calculate the remainder when g(36) is divided by z(11).
38
Suppose -709 - 9911 = -59*f. What is the remainder when f is divided by 32?
20
Suppose -9 - 27 = -12*w. Suppose 0*d - 40 = -5*d. What is the remainder when d is divided by w?
2
Let d(k) = 81*k**3 + k. Let i be d(1). Let v be 10/(3 + i/(-26)). Let l = -31 - v. What is the remainder when l is divided by 12?
10
Suppose -2*h + f = -36, -4*h + f + 100 = 6*f. Suppose 0 = 2*w - 4*w + h. Suppose -z - z + 12 = 0. Calculate the remainder when w is divided by z.
4
Let q(g) = 2*g**3 - 8*g**2 - 5*g - 46. What is the remainder when q(8) is divided by 33?
30
Suppose w - 6*w = -4*p + 41, 0 = -w - p - 1. Let s be w/(-15)*(321 + 0). Let k = 150 - s. Calculate the remainder when k is divided by 11.
10
Let f = -7 + 18. Suppose 9*d - 6*d = -150. Let i = 65 + d. Calculate the remainder when i is divided by f.
4
Suppose 2*n + 106 = 3*n. What is the remainder when n is divided by (-4)/46 + (-44356)/(-1196)?
32
Let l(j) = -j**2 + 29*j - 198. Suppose -4*m = -2*m - 3*o - 63, -3*m - o = -122. What is the remainder when m is divided by l(13)?
9
Suppose 4*a - 340 = -4*s, -2*a - s + 169 + 4 = 0. Calculate the remainder when a is divided by 38.
12
Suppose -4*s - 1695 = 5*r + s, -2*s = 4. Let l = r - -508. What is the remainder when l is divided by 44?
39
Suppose 5 = -3*c - 1. Calculate the remainder when 4/10 - (-212)/(-40)*c is divided by 6.
5
Let t(s) = -9*s - 54. What is the remainder when 125 is divided by t(-8)?
17
Suppose u - 224 = -3*u. Suppose 0*m + 661 = 4*m - q, -3*m = -q - 497. Suppose 84 = -4*c + m. What is the remainder when u is divided by c?
16
Let q(u) = 6*u**2 + 62*u + 25. Calculate the remainder when 31 + -1 - 3 - -3 is divided by q(-10).
0
Calculate the remainder when ((-10)/2)/(((-3)/13)/3) is divided by 7.
2
Let s = 19 + -10. Suppose -k - 1 = s. Let w = k + 15. Calculate the remainder when 18 is divided by w.
3
Let w be ((-4)/(-8))/(2/(-144)). What is the remainder when (-592)/(-9) + (-8)/w is divided by 17?
15
Let s(r) = 6*r**2 - r. Let m be s(1). Suppose w - 20 = -m. Calculate the remainder when (108/(-10))/((-3)/w) is divided by 14.
12
Suppose 2*x - 7*x = -20. Let w(d) = -d**3. Calculate the remainder when w(-2) is divided by x.
0
Let h = 52 + -42. Suppose 188 = 3*r + r. What is the remainder when r is divided by h?
7
Suppose 0 = -8*u + 85 + 859. What is the remainder when u is divided by 7?
6
Suppose 0 = -31*x - 7*x + 152. Suppose -29 - 23 = -4*g + 2*i, 0 = -g - 5*i + 2. What is the remainder when g is divided by x?
0
Let r = -17 - -63. Let c = r - 31. Suppose -5*b + 24 = -191. Calculate the remainder when b is divided by c.
13
Suppose 0 = -5*i - 38 - 252. Let x be ((-212)/8)/(22/132). Let c = i - x. What is the remainder when c is divided by 13?
10
Let j(r) = -r**2 + 12*r + 7. Let k be j(12). Suppose -v + y + k = 0, -2*y = 2*v - 3*y - 19. Calculate the remainder when v is divided by 2.
0
Let b(g) = 4*g - 3. Let v(t) = -5*t**2 - 60*t - 109. Calculate the remainder when v(-9) is divided by b(3).
8
Suppose o + 4*o - 20 = 0. Suppose -3*h - 65 = -4*m + 122, -2*m + o*h + 86 = 0. Let f = 2128 + -2115. Calculate the remainder when m is divided by f.
10
Suppose 2*t - 99 = -3*t + 4*v, 66 = 2*t + 5*v. Calculate the remainder when 62 is divided by t.
16
Let t = 4 + 2. Suppose -130 = -t*x + x. What is the remainder when 103 is divided by x?
25
Suppose d + 4*y = 447, 4*d - 1576 = 5*y + 212. Calculate the remainder when d is divided by 45.
42
Let r(m) = -2*m - 8. Let a be r(-10). Let o(x) = x**3 + 5*x**2 - 3*x - 2. Calculate the remainder when o(-3) is divided by a + (-1 - (-1 + 3)).
7
Let x be 22/(-3) + (-12)/18. Suppose -95 - 135 = -5*g. Calculate the remainder when g is divided by (-462)/(-39) - (x/52 - 0).
10
Suppose -p - 49 = -4*k, -4*p = 2*k - 0 - 20. What is the remainder when 38 is divided by k?
2
What is the remainder when 2/(-5) + (-12957)/(-105) is divided by 14?
11
Suppose 5*c - 7*c - 3*q + 28 = 0, -q = 2. Let s = c + 4. Calculate the remainder when 104 is divided by s.
20
Let u = 24 + 23. Suppose -4*f - 5*h + 12 = -u, -2*f + 2*h + 34 = 0. Calculate the remainder when 31 is divided by f.
15
Calculate the remainder when (0 - 6/11) + 4324/22 is divided by 22.
20
Let n = -2736 + 2758. Calculate the remainder when 64 is divided by n.
20
Let i = -927 - -938. Suppose 0 = -p - 4*u - 9, -2*p + p + 3*u = -12. Calculate the remainder when i is divided by p.
2
Suppose 228*u - 233*u = -85. What is the remainder when 695 is divided by u?
15
Let y(j) = -2*j**3 - 35*j**2 - 18*j. Suppose 5*p - 425 = -r - 3*r, -525 = -5*r - 5*p. What is the remainder when r is divided by y(-17)?
15
Let m(o) = -o**2 - 18*o - 17. Calculate the remainder when m(-10) is divided by 22.
19
Suppose -70 = -2*c + 3*v, 3*c + 4*v - 35 = 53. Let n = c - 25. Calculate the remainder when 11 is divided by n.
4
Let r = -86 + 235. What is the remainder when r is divided by 8?
5
Let v = -760 - -1279. What is the remainder when v is divided by 87?
84
Suppose 4*v - 3*u - 32 = 0, u + 3*u = -5*v + 9. Let c = v + 9. Let z = 8 + -3. Calculate the remainder when c is divided by z.
4
Suppose 85 = 16*y - 1083. What is the remainder when 727 is divided by y?
70
Let m(z) = -z**3 - 4*z**2 - 2*z + 21. Calculate the remainder when 423 is divided by m(-3).
9
Let y = -1129 - -1138. Calculate the remainder when 359 is divided by y.
8
Let r = 159 - 133. What is the remainder when 148 is divided by r?
18
Let w = -172 - -199. Calculate the remainder when 44 is divided by w.
17
Suppose 2*x - 1491 = 3*b - 2*x, 2508 = -5*b - x. Calculate the remainder when 39 is divided by (-4)/(-32) + b/(-24).
18
Let w(c) = -11*c - 28. Calculate the remainder when 53 is divided by w(-5).
26
Let u = -70 - -40. Let s = 46 + u. What is the remainder when s is divided by 6?
4
Calculate the remainder when ((-15)/(-25))/((-1)/(-145)) is divided by 45.
42
Suppose 5*q = 3*q. Suppose -4*f + 0*f + 136 = q. Suppose -5*h = -0*h - 90. What is the remainder when f is divided by h?
16
Suppose 0 = -8*b - 110 + 286. What is the remainder when 129 is divided by b?
19
Let t(l) = 2*l**2 + 8*l - 43. Calculate the remainder when 538 is divided by t(6).
76
Suppose -8*q + 787 = -541. Calculate the remainder when q is divided by 42.
40
Let b = 1256 - 1193. Calculate the remainder when 314 is divided by b.
62
Let l = 52 + -25. Calculate the remainder when l is divided by 4.
3
Let j be 40*((-88)/(-20) - -2). Suppose 5*t - j = -26. What is the remainder when t is divided by 24?
22
Let m = -744 - -775. Let w(s) = s**3 + 4*s**2 - 3*s - 1. Let j = 3 + -7. What is the remainder when m is divided by w(j)?
9
Let k be 3/6 + 0 + 421/2. Suppose 0 = 4*o - q - k, 0*q = 4*o - 5*q - 207. Calculate the remainder when o is divided by 14.
11
Suppose 3*j + 622 = 5*c, -4*c + 3*j + 0*j = -497. Let p = 70 + -38. Calculate the remainder when c is divided by p.
29
Let r = 6 - 5. Let m = 44 - 9. Calculate the remainder when m is divided by (-2 + r)/1 + 10.
8
Let b(k) = 2*k + 1. Let v be b(2). Suppose 0 = 3*i - 2*z - 7, 8*i + v*z + 5 = 3*i. What is the remainder when 63 is divided by i + (3 - (-17 + -1))?
19
Let u = 111 - 95. What is the remainder when 158 is divided by u?
14
Let j be -4 - (16 + -22 + (-1 - 0)). Let b(a) = -a**3 + a**2 + 3*a - 3. Let g be b(-3). Suppose j*w - g = w. What is the remainder when 43 is divided by w?
7
Let a(l) = -l. Let s(h) = 30*h + 1