*b - o*b = 420. Calculate the remainder when b is divided by 18.
15
Let d(m) be the third derivative of m**6/120 + m**5/15 - m**4/24 - 2*m**3/3 - 2*m**2. Let r = 8 + -5. What is the remainder when d(-3) is divided by r?
2
Let q(d) = 2*d**3 + 13*d**2 - 31*d + 8. Calculate the remainder when 160 is divided by q(-8).
32
Let a(n) = 10*n**2 + 11*n + 22. Let z be a(-4). Let j = z - 90. What is the remainder when 94 is divided by j?
46
Let f = -98 + 111. What is the remainder when (12/(-8))/((-12)/200) is divided by f?
12
Let x = 374 - 349. Suppose 4*v = -0*u - u + 18, 0 = -u + 4*v - 14. What is the remainder when x is divided by (-21)/u*12/(-9)?
11
Calculate the remainder when (-2382)/6*(-1 + 0/1) is divided by 10.
7
Suppose -h = -2 + 4. What is the remainder when 11 + 9/(18/(-8)) is divided by h - (-4 - 0/(-2))?
1
Let y be (-10)/(-4) - (-16)/(-32). Let q be 128/7 + y/(-7). Suppose 0 = 5*l - 12 - q. Calculate the remainder when 11 is divided by l.
5
Let o(j) = -25*j + 1. Suppose 0*k = -k. Suppose -2 = u - k. What is the remainder when o(u) is divided by 13?
12
Suppose 3*c - 59 = -4*l, 5*l - c - 70 = -6*c. Suppose 0 = 4*i - 6*i + 202. What is the remainder when i is divided by l?
16
What is the remainder when 31 is divided by (12/9 + 0)*(12 + -3)?
7
Suppose 5*m + 5*d - 74 = m, -m - d + 18 = 0. Suppose x = -5 + 7. Suppose -n - 33 = -3*i + 156, -x*i = -n - 126. Calculate the remainder when i is divided by m.
15
Let g = 1012 + -554. Suppose 4*v - g = -2*w - 3*w, 4*w - 2*v - 382 = 0. Calculate the remainder when w is divided by 33.
28
Let f(i) = 9*i + 13. Let d be f(8). Suppose -4*n + y = -n - d, -4*n + 5*y = -117. Calculate the remainder when 217/2 + (-1)/(-2) is divided by n.
25
Suppose 2*a + 7 = 3. Let j(c) = -3*c + 1. Let u = -33 - -60. Calculate the remainder when u is divided by j(a).
6
Suppose 15*y - 2025 = 6*y. Calculate the remainder when y is divided by 57.
54
Suppose -3*t - y - 56 = 31, 0 = 5*t - 4*y + 128. Let r = t - -67. What is the remainder when r is divided by 22?
17
Suppose -229*k = -230*k + 29. What is the remainder when 47 is divided by k?
18
Suppose 0 = -0*b + b - 118. Suppose 4*h - b = -42. Calculate the remainder when 74 is divided by h.
17
Let q be ((-45)/(-10) + -4)/(2/8). Suppose 4*y - 194 = -q*f - 14, -125 = -3*y + f. What is the remainder when y is divided by 9?
7
Let z = -118 + 216. Suppose z + 12 = 2*s. Calculate the remainder when s is divided by (8/(-2))/(2/(-14)).
27
Suppose 6*z = -z + 280. What is the remainder when 2775/z + (-9)/24 is divided by 36?
33
Suppose u + 5*b + 13 = -3*u, -2*u + 5*b = -31. Suppose 2*y + 10 = 7*y. Calculate the remainder when u is divided by y.
1
Suppose 4*t = -3*l + 153, -5*l - 4*t + 228 + 19 = 0. What is the remainder when 174 is divided by l?
33
Suppose -12 = i - 37. Let r be (852/18)/((-4)/(-6)). Let v = 120 - r. Calculate the remainder when v is divided by i.
24
Suppose 62 = 4*i - 2*i. Let x = -7 + 1. Let g(t) = t**2 + 3*t - 7. What is the remainder when i is divided by g(x)?
9
Suppose -77*l + 79*l - 452 = 0. What is the remainder when l is divided by (-12)/18 - 232/(-6)?
36
Suppose -3*p = 3, 3*v - 7*v + 4*p = -20. Suppose -5*t + 38 = -v*t. Let h = t + -12. Calculate the remainder when 102 is divided by h.
24
Let o(w) = -w**2 - 7*w + 7. Let q = 64 + -62. Calculate the remainder when o(-5) is divided by q.
1
Let b = -76 - -75. What is the remainder when 13 is divided by b*(2 - 0) - (-4 - 6)?
5
Suppose -7*o = -12*o + 20. Suppose o*g = -2*g + 12. What is the remainder when 10 is divided by g?
0
What is the remainder when 231 is divided by 3/(-5) - 766/(-10)?
3
Suppose 2*t = -2*j + 374, 6*t - 7*t + 375 = 2*j. Calculate the remainder when j is divided by 10.
8
What is the remainder when 6/15 - 273/(-5) is divided by (-1)/((-147)/24 + 6)?
7
Suppose 2*k - 11 = -4*q + q, -q = -4*k + 1. Suppose 44 + 1436 = 8*r. Calculate the remainder when (q - 0)*r/15 is divided by 10.
7
Suppose t = 0, 56 = -0*c + 2*c - t. Let k(y) = -y**3 - 10*y**2 - 2*y - 9. Let p be k(-5). Let z = p - -207. What is the remainder when z is divided by c?
27
Suppose -2644 = -5*k - d, 0 = -4*k - d + 3*d + 2104. Calculate the remainder when 15 is divided by (-2)/(-5) + k/80.
1
Let t(y) = 2*y**2 + 36*y + 3. Let l be t(-18). Suppose -l*k + 3*d + 88 + 68 = 0, -d = 4. Calculate the remainder when k is divided by 18.
12
Let o(c) = 35*c + 1. Let f = -101 - -121. What is the remainder when o(1) is divided by f?
16
Suppose 0*q = 2*q - 42. Let t = -65 - -106. What is the remainder when t is divided by q?
20
Suppose 4*g = 7*g - 42. What is the remainder when -46*((-14)/(-49) + (-18)/g) is divided by 12?
10
Let h be (38654/(-105) - 4/(-30)) + 3. Let a = -256 - h. Calculate the remainder when a is divided by 37.
35
Suppose -4*j = -j - 12. Suppose -j*p + 108 = -4*x, -x - 2 = -0. Let k = 79 - 70. Calculate the remainder when p is divided by k.
7
Suppose -5*n = h - 9*n - 168, 711 = 4*h - 3*n. What is the remainder when h is divided by 26?
24
Suppose 42 - 6 = -4*s. Let v be (-20)/s - 4/18. Suppose 0 = -v*t + 13 + 61. Calculate the remainder when t is divided by 10.
7
Suppose 2 = -5*p - 2*l - 15, -20 = -5*l. Calculate the remainder when 39 is divided by 19 - (5 + p + 4).
9
Let y = 260 + -254. What is the remainder when y is divided by 4?
2
Let n be (-6)/24 + 263/(-4). What is the remainder when 8 is divided by 2/(-5) + n/(-15)?
0
Suppose -444 = -w + 4*w. Let h = 222 + w. Suppose -7*c + 304 = 9*c. Calculate the remainder when h is divided by c.
17
Suppose 3*a - 18 = 2*g, 2*a - 5*g + 10*g = 31. Suppose 5*j - a = j. Let p(n) = -n**3 - 13*n**2 - 12*n + 7. Calculate the remainder when p(-12) is divided by j.
1
Suppose 44 - 4 = 5*f. Let t be (-4)/(-22) + 1190/(-11). Calculate the remainder when t/(-5) + (-6)/(-15) is divided by f.
6
Let z = 27 - 27. Suppose z*l = -l + 38. Calculate the remainder when l is divided by 14.
10
Suppose -5*x + 6*x = 7. Suppose 6*r + 21 = x*r. Calculate the remainder when 39 is divided by r.
18
Suppose -u - 187 = -5*b, -b + 50 = 3*u + u. Let s = 111 - 38. What is the remainder when s is divided by b?
35
Suppose -5*m - 5*q = 3 - 108, -3*q = -2*m + 47. Let d = 3 + -3. Let f(t) = -t + 63. What is the remainder when f(d) is divided by m?
19
Suppose 14*n = 12*n + 66. What is the remainder when 228 is divided by n?
30
Suppose 2*s - 108 = -w, -2*w + 162 = 3*s - 7*w. Calculate the remainder when 191 is divided by s.
29
Calculate the remainder when 82 is divided by 35 + -6*(-30)/20.
38
Suppose -16 = -5*d - 6. Suppose 0 = d*c - 56 - 28. Let f(h) = 2*h**2 - 29*h + 23. What is the remainder when c is divided by f(14)?
6
Suppose 4 = 8*w - 172. Calculate the remainder when 86 is divided by w.
20
What is the remainder when 505 is divided by (-160)/(-7) + 60/(-70)?
21
Let q(f) = -7*f - 42. Suppose 0 = -0*v + 3*v - 117. Calculate the remainder when v is divided by q(-8).
11
Let q(c) = c**2 + c - 93. Let a be q(0). Let d = -43 - a. Calculate the remainder when d is divided by 26.
24
Suppose 74 = 5*q - 2*p, -q - 45 = -4*q + p. Calculate the remainder when 637 is divided by q.
13
Let a = 26 - 3. Suppose -3*v = 3*w - 285, -2*w - 3*w + 111 = v. Calculate the remainder when v is divided by a.
22
Suppose -105 = -19*g + 14*g. Calculate the remainder when 30 is divided by g.
9
Suppose y + 0*y - 62 = 0. Suppose -5*v = -3*u + 8, v - 24 = -3*u + 14. Calculate the remainder when y is divided by u.
7
Let n = 51 - 4. Let l = 1 + 21. Let t = n - l. What is the remainder when t is divided by 7?
4
Let t be 2/(1 - 0 - 0). Let x = t - -6. Suppose 3*l + 120 = x*l. Calculate the remainder when 95 is divided by l.
23
Let m = 84 + -135. Let z be (-38)/(-8) + m/68. Suppose -5*b = o - 23, 2*b + 44 = z*o + 18. Calculate the remainder when 14 is divided by o.
6
Calculate the remainder when (138/184)/(2/56) is divided by 8.
5
Suppose 36*z = 38*z - 50. Let i = 13 + 1. Calculate the remainder when z is divided by i.
11
Let x(o) be the third derivative of o**6/15 - o**5/30 - 3*o**4/8 + o**3 - 26*o**2. Calculate the remainder when x(3) is divided by 30.
27
Let j(w) = -69*w - 228. What is the remainder when 93 is divided by j(-4)?
45
Let t = 348 - 327. What is the remainder when 2329 is divided by t?
19
Let n = -14 - -18. Let b(x) = 9*x + 3. Suppose 4*m + 2*u - u - 39 = 0, -