 283. Suppose -w*u = 6*u - 1290. What is the remainder when u is divided by 7?
3
Let y(d) = 3112*d**3 - d**2 - 113*d + 114. What is the remainder when y(1) is divided by 11?
10
Suppose 0 = 16*x - 20*x + 80. What is the remainder when ((-56)/14)/((-1)/19) is divided by x?
16
What is the remainder when (0 - 3*-2)/(156/3016) is divided by 40?
36
Suppose 2*z = 7*z. Suppose z = -45*a + 49*a - 56. Calculate the remainder when 132 is divided by a.
6
Let s = 237844 + -237691. Let a = 10 + -7. Suppose 4*m - 64 = 2*c, a*m - 15 - 7 = -5*c. What is the remainder when s is divided by m?
13
Suppose -4 = u - b, 5*u - 2*b - 2*b = -17. Let p(h) = 14*h + 3. Let q be p(u). Let l(t) = t**2 + 11*t + 20. What is the remainder when 59 is divided by l(q)?
19
Let n(u) = u**3 + 47*u**2 - 103*u + 392. Calculate the remainder when n(-49) is divided by 200.
37
Suppose 5*f + 0*f = 4*k - 4671, f + 4*k = -939. Let y = -927 - f. Suppose -2*s = -15 - 11. Calculate the remainder when s is divided by y.
5
Let c be 228/30*20/8. Let t(q) = -q**2 + 33*q - 255. Calculate the remainder when t(c) is divided by 2.
1
Let g(z) = -4*z**2 + 3*z + 21. Let a be g(5). Let i = a + 96. Calculate the remainder when i is divided by 4.
0
Suppose -k + 9 = -3*g, -k - 12 = 2*g - 31. What is the remainder when k is divided by 9?
6
Let w(t) = -t**3 - 4*t**2 + 2*t - 2. Suppose 0 = -2*n - 77 + 425. Suppose -n + 54 = -4*u. Calculate the remainder when w(-6) is divided by u.
28
Let f(y) = -15*y + 95. Let b be f(6). Suppose 20 = -b*t, 4*i + 0*t - 3*t = 76. What is the remainder when 61 is divided by i?
13
Suppose -2*s + 3*a + 89 = 0, -132 = -3*s - 11*a + 15*a. Calculate the remainder when 251 is divided by s.
11
Suppose 4*a - l - 12 = 0, 2*a - l = -9 + 13. Suppose -3*o - a*p + 24 = 0, 3*o + p + 32 = 7*o. What is the remainder when 190 is divided by o?
6
Suppose 0 = 24*g + 287 - 353 - 318. What is the remainder when 6572 is divided by g?
12
Let y = -22394 + 22460. What is the remainder when 326 is divided by y?
62
Suppose -9*z = -59*z + 150. Suppose -z*t - 63 = -5*n, -3*t + 13 = n - 14. Let h = 101 + -58. What is the remainder when h is divided by n?
13
Calculate the remainder when (78/12)/(-13)*(-1151 - -2 - -7) is divided by 87.
49
Suppose -46*v + 50*v - 41 = l, 19 = 2*v - l. What is the remainder when 2459 is divided by v?
6
Let j = 1977 - -10382. Calculate the remainder when j is divided by 60.
59
Let t = -8898 - -8932. Let w(v) = 4*v**3 - v + 4. Calculate the remainder when w(3) is divided by t.
7
Let f be (-849)/(-18) - (133/42)/19. Let g(s) = 9*s - 6. Let j be g(5). Let d = f - j. Calculate the remainder when 19 is divided by d.
3
Let h(v) = 1364*v - 17626. What is the remainder when 137 is divided by h(13)?
31
Let w = 45 + -49. Let h(a) = -a**3 - 5*a**2 - 5*a - 4. Let g be h(w). Let m(o) = -o + 25. What is the remainder when m(g) is divided by 15?
10
Let p(r) = -r**2 + 10*r + 10. Suppose 2*j - 10 = j. Let m be p(j). Suppose -m = -2*h - 6. Calculate the remainder when 3 is divided by h.
1
Suppose -t - 79 = 3*j, -j + 2*j = -t - 71. Let u = -27 - t. What is the remainder when 239 is divided by u?
39
Let q = -5188 - -6068. Calculate the remainder when q is divided by 126.
124
Suppose -2*c - a = -20588, 5*c + a = 10*c - 51463. Calculate the remainder when c is divided by 29.
27
Suppose -2*l + 61 + 17 = -4*h, -3*l + 109 = -5*h. Calculate the remainder when 517 is divided by l.
11
Suppose -88 = -5*k - 4*f + 100, 2*k + 3*f = 85. Calculate the remainder when 17629 is divided by k.
29
Let z(y) = 2*y**2 - 10*y + 2. Let o be z(5). Let q(v) = -v**3 + v - 1 + 3*v + 5*v**o - v**2. Calculate the remainder when q(4) is divided by 8.
7
Let f(m) = -45*m - 591. Suppose -c + 0*c = -111. What is the remainder when c is divided by f(-14)?
33
Let w = -1623 - -3876. What is the remainder when w is divided by 47?
44
Let z = 167 - 104. Let h(y) = -y**2 - 12*y - 7. Let a(x) = 4*x + 18. Let v be a(-7). What is the remainder when z is divided by h(v)?
11
Let i be (-16)/(-72) - (-97)/9. Suppose 8*m - 7*m - i = 0. What is the remainder when (m + -1)/(5/(105/6)) is divided by 19?
16
Suppose 5*k - 2*a + 46 = -3*a, -4*a = -4*k - 56. Let d = k - -24. What is the remainder when ((-16)/(-1))/(5 + (-57)/12) is divided by d?
8
Suppose -9*y + 30*y - 17182 = -y. What is the remainder when 781 is divided by y?
0
Suppose 3*y + 48 = 6*y. Suppose -g + 78 = 5*d, -g - d = -56 - 6. What is the remainder when g is divided by y?
10
Let k(b) = -b**3 - 7*b**2 - 6*b + 5. Suppose g + 3*g + 68 = 3*c, -100 = -3*c - 4*g. Calculate the remainder when k(-7) is divided by c.
19
Suppose -76*k + 11016 = -8*k. What is the remainder when 298 is divided by k?
136
Let h(x) = 2*x**2 + 100*x + 309. What is the remainder when 264 is divided by h(-47)?
21
Let h = -541 + 544. Suppose 11*n - 7*n = 4*c + 44, -n - h*c - 5 = 0. What is the remainder when 37 is divided by n?
2
Suppose 0 = -7*t + 12*t + 4*y - 1545, -330 = -t - 5*y. What is the remainder when t is divided by 79?
68
Let z = 872 + -867. Suppose 20*o - 285 = z*o. What is the remainder when 1936 is divided by o?
17
Let z(s) = -1351*s**2 + 2*s - 16 + 8*s + 2*s**3 + 1344*s**2. Calculate the remainder when z(4) is divided by 23.
17
Let c(g) = -23*g - 50. Let o be c(-4). Suppose 90 = 6*z - o. Calculate the remainder when z is divided by 14.
8
Let v = -184 + 281. Suppose -72*h + 2800 = 40*h. What is the remainder when v is divided by h?
22
Suppose -2*z + 12*k + 78 = 14*k, 2*z + 5*k - 78 = 0. What is the remainder when z is divided by 3?
0
Let q be 134/8 + 1/(-8)*-2. Suppose 0 = -11*s - q*s + 364. What is the remainder when 127 is divided by s?
10
Let d(f) = 2*f**3 - 3*f**2 - 12*f + 28. Calculate the remainder when 1098 is divided by d(3).
15
Let g(c) = 2*c + 59. Let q be g(-25). Calculate the remainder when 11/33 + (1545/q - -1) is divided by 35.
33
Suppose 7*j - 12 - 16 = 0. Suppose -j*v - l + 531 = 4*l, 3*l = -v + 124. Suppose 0 = x - 39 + 3. What is the remainder when v is divided by x?
31
Suppose -852*b - i - 294 = -855*b, 0 = 2*b - 4*i - 196. What is the remainder when b is divided by 1/3 + 196/6?
32
Suppose -3*w = 2*z + 26, 4*z + 6 - 2 = 0. Let g(i) = -i + 4. What is the remainder when 21 is divided by g(w)?
9
What is the remainder when 507 is divided by 94/((-8)/24 - -1)?
84
Suppose 376*b - 858140 = -25*b. What is the remainder when b is divided by 50?
40
Suppose -19*l - 168 = 43*l - 90*l. Calculate the remainder when 225 is divided by l.
3
Suppose 3*h - 2*w + 5*w = 1227, 3*h + w - 1233 = 0. Let y = 463 - h. What is the remainder when y is divided by (-1)/(2/(-30)) - 2?
12
Calculate the remainder when -8*1629/(-36) - 9 - 5 is divided by 90.
78
Suppose 2865 = 11*f - 3152. What is the remainder when f is divided by 8?
3
Suppose 0*u - 28 = -z + 5*u, 2*z = -2*u + 68. Let y(i) = -i**3 + 35*i**2 - 64*i + 11. What is the remainder when y(z) is divided by 39?
38
Let x be (0 + -4 - (7 - 7)) + 91. Let r = -134 + x. Let b = r + 56. What is the remainder when b is divided by 8?
1
Suppose -54 = b - 12. Let u = 59 + b. Let o = 826 + -763. What is the remainder when o is divided by u?
12
Let k(l) = l**3 - 197*l**2 + 740*l + 6235. Calculate the remainder when k(193) is divided by 2/(-8) + 77/4.
2
Suppose 3*w + 5 = 4*b + 1, -20 = -3*w - 2*b. Suppose 0 = -3*d - w*z + 65, 5*d - 4*z + 50 = 7*d. What is the remainder when 181 is divided by 2/6*1 - (-385)/d?
25
Let l = 19 - 17. Suppose 230 = l*f + 2*j, -f = -4*j - 37 - 53. Let y(p) = 4*p**3 + p**2 - p - 6. Calculate the remainder when f is divided by y(2).
26
Suppose -3*n = y - 49, -4*y + 92 + 112 = 4*n. Let p be (50/(-6))/5*-3. What is the remainder when y is divided by ((-76)/10)/((-2)/p)?
14
Suppose 2*g = -g - 4*q + 178, 3*g - 154 = 2*q. Suppose -51*y + 1274 = -44*y. Calculate the remainder when g is divided by (6/1)/(39/y).
26
Let a(i) = -i**2 + 26. Suppose 4*h = 5*o - 12, -15 = 2*o + 4*h + h. Let m(z) = 16*z**2 - 139*z - 55. What is the remainder when m(10) is divided by a(o)?
25
Let d be 2/((-4)/(-3))*-2. Let u(q) be the second derivative of -3*q**5/20 - 2*q**4/3 - q**3 + 3*q**2/2 + 3*q. What is the remainder when u(d) is divided by 8?
6
Let n(c) = 12*c + 212. Suppose -10*r - 3*y - 71 = -15*r, -y = 3*r - 51. What is the remainder when n(r) is divided by 24?
20
Suppose -41*s