(v) = -v**2 + 6*v + 21. Let m be z(8). Suppose -251 - 455 = k + m*b, -5*b = 4*k + 2854. Calculate the remainder when (-4)/(-4 + k/(-180)) is divided by 14.
12
Let c = -3181 + 3213. What is the remainder when 189 is divided by c?
29
Suppose 4*x + a = 559, -3*a = -2*x + 71 + 184. What is the remainder when 351 is divided by x?
75
Let b = 129 + -130. What is the remainder when 46 is divided by (b + 13)/((-27)/(-18))?
6
Let b be -2 - (27/3)/3. Let i(u) = 3*u + 19. Let x be i(-6). What is the remainder when 40 is divided by (b + 1)*((-11)/2)/x?
18
Let k(w) be the third derivative of w**4/3 - 7*w**3/6 - w**2 - 2. Calculate the remainder when 144 is divided by k(7).
46
Calculate the remainder when (-4 + (-26)/(-4))/(4/352) is divided by 155.
65
Let w = -135 - -138. Suppose -5*v = 3*c - 28, -w*v + 5 = 5*c + 1. What is the remainder when 66 is divided by v?
2
Suppose -4*g - 5*n = 220, n - 1 = -5. Let x = 80 + g. Let f = 3901 - 3883. Calculate the remainder when x is divided by f.
12
Suppose 223*h = 219*h + 192. Suppose -p - 32 = -h. What is the remainder when 71 is divided by p?
7
Let y = -116 + 309. Let w = -181 + y. Calculate the remainder when 453 is divided by w.
9
Let n(c) = 9*c**2 - 29*c + 264. Calculate the remainder when n(17) is divided by 788.
8
Let w be (4/(-2))/((-9)/18). Suppose -5*o - 5*t + 49 = -w*t, 0 = 3*t - 12. Suppose 7*j - 2*j = 120. Calculate the remainder when j is divided by o.
6
Let q(i) = -2*i**2 - 11*i + 26. Let r be q(2). Let z(l) = l**3 + 6*l**2 + 2*l. What is the remainder when 76 is divided by z(r)?
4
Suppose 2*d = d - 11. Let i(p) = 15*p + 88. Let w be i(-5). Let l = w - d. What is the remainder when l is divided by 11?
2
Suppose -3*v - 277 = -14*v + 339. Calculate the remainder when 395 is divided by v.
3
Let p be -5 + 10 + -25 - (3 + -2). Let h = p + 30. Calculate the remainder when 26 is divided by h.
8
Let z(l) = l**2 - 13*l + 77. What is the remainder when (-9)/6 - 405/(-6) is divided by z(7)?
31
Calculate the remainder when (3/2 - 2)/(7*17/(-34986)) is divided by 99.
48
Suppose -5*k = -387 - 393. Let v = 180 - k. Let h(n) = n**2 + n + 13. Calculate the remainder when v is divided by h(0).
11
Let q(y) = 80*y**2 + 701*y - 7. Calculate the remainder when q(-9) is divided by ((-12)/(-5))/(3/10).
4
Calculate the remainder when (2196/14 + 6/(-7))/(6/20) is divided by 44.
36
Let p be (1 + -1 - (-6 + 1))*125. Let h be p/35 + (-1)/(-7). Suppose 43 = 5*a + h. Calculate the remainder when 12 is divided by a.
2
Suppose 5*g + 5*h = 3*g - 30, 0 = -g + 4*h + 11. Calculate the remainder when 403 is divided by 0 - -64 - (g + (-7 - -18)).
55
Calculate the remainder when (-3410)/62*((1 - -3) + 681/(-5)) is divided by 75.
71
Let f(z) = 5*z + 63. Let j be f(-13). What is the remainder when (22/j)/((-19)/399) is divided by 8?
7
Let w(f) = 4938*f + 1461. Calculate the remainder when w(2) is divided by 20.
17
Calculate the remainder when 54 is divided by (-4)/26 + (-5)/(1105/(-8211)).
17
Suppose 0 = 4*a - a - 114. Let k(c) = -7*c - 19. Suppose 192 = 25*l - 33*l. What is the remainder when k(l) is divided by a?
35
Let d = 415 + -247. Suppose 5*f - 1200 = -985. Calculate the remainder when d is divided by f.
39
Calculate the remainder when ((-824)/(-515))/(12/22455) is divided by 143.
134
Let r = 1715 - 1690. What is the remainder when 88 is divided by r?
13
Suppose 18 = 5*f - 4*c - 156, -3*c + 65 = 2*f. What is the remainder when f is divided by -1 + (-28*1)/(-2)?
8
Let i(z) = z**3 + 6*z**2 - 8*z + 16. Let g be i(-7). Suppose 0*q - 2921 = -g*q. Calculate the remainder when q is divided by 22.
17
Let c(w) be the second derivative of 13*w**3/6 - 11*w**2/2 + 23*w. Let p be c(2). Calculate the remainder when (-198 + p)*1/(-3) is divided by 16.
13
Let l(k) = -2*k**2 + 9*k - 6. Suppose 41*w = 1159 + 153. What is the remainder when w is divided by l(3)?
2
Let u be 13*(0 - -2) - 4. Let k = u - 15. Let y(s) = -s**2 + 14*s + 53. What is the remainder when k is divided by y(-3)?
1
Suppose -2*y - 56 = -f, -4*f - 3*y + 217 = 59. What is the remainder when 146 is divided by f?
14
Suppose -l - 11 = i, -1 = -i + 2*l - 0. Let g be (i*1*2)/(8 + -6). What is the remainder when (-2)/g - (-2010)/70 is divided by 15?
14
Let p = 224 - -112. Let b(y) = -y**3 - 11*y**2 + 26*y + 113. Calculate the remainder when p is divided by b(-13).
110
Let f(q) = 12*q**2 - 407*q - 8. What is the remainder when f(34) is divided by 41/4 + 6/(-24)?
6
Let s(z) = z - 13. Let v be s(16). Let r be 0 + v - 2/(-2). Suppose -r*y = -0*y - 892. What is the remainder when y is divided by 45?
43
Suppose 0 = -w + 9*w - 16. Suppose -2*q = -2*p + 18, -5*q - 11 - 13 = w*p. What is the remainder when 12/2*(q - -12) is divided by 20?
16
Let z(i) = -i**3 - 4*i**2 + 4. Let u be z(-4). Suppose 3*o + 2*h + 7 = 174, h = 4*o - 241. Calculate the remainder when o is divided by 366/18 + u/6.
17
Let v = 125 - 75. Let x = v - 48. Calculate the remainder when 15 is divided by 6 - (0 + -5 + x).
6
Suppose -4*v = 3*g - 1615, 2*v + g - 790 = 3*g. What is the remainder when v is divided by 112?
64
Calculate the remainder when 11437 is divided by (-16 - -7 - -10)*(16 - (3 - 0)).
10
Let v(h) = h**2 + 55*h + 75. Calculate the remainder when 59664/693 - 2/21 is divided by v(-54).
2
Suppose 5*r - 10*c - 35 = -12*c, r - 2*c = 19. Let f = -8 - -8. Let i(q) = -q**3 + q + 15. What is the remainder when i(f) is divided by r?
6
Suppose 8*d - 185 = -137. Let s(b) = 5*b - 11. Let i(l) = l - 1. Let a(p) = -3*i(p) + s(p). What is the remainder when 7 is divided by a(d)?
3
Let q be (6/(-18))/(3/(-36)). Suppose -5*a = 4*h - 44, -3*h + 4*h = -q*a. Calculate the remainder when 59 is divided by h.
11
Let a be -3 + -2*(-546)/12. Suppose 0 = a*t - 98*t + 2050. What is the remainder when t is divided by 11?
7
Suppose -2*u - 5 = -0*j + 5*j, 3*j = -5*u - 22. Suppose 2*g + 1 = -j. Calculate the remainder when 36 is divided by 15*(g - (-5)/3).
6
Suppose 2*o + 4*x = 2200, 5*o + x = 3*x + 5560. Suppose 9*v - o = -6*v. Calculate the remainder when v is divided by 20.
14
Let l(x) = x**2 - x + 35. What is the remainder when 3331 is divided by l(-10)?
141
Let l(f) = f**3 - 9*f**2 - 7*f - 27. Let x be l(10). Let y(t) = 4*t**3 - t**2 - 3*t - 1. Calculate the remainder when y(x) is divided by 14.
5
Let g = 559 - 559. Calculate the remainder when -2*(-35)/(-14) + g + 78 is divided by 20.
13
Let r = -188 + 280. Let s = r + -112. Let u = 14 - s. What is the remainder when u is divided by 10?
4
Suppose 1119 - 18462 = -369*t. Calculate the remainder when t is divided by 21/2*48/18.
19
Let k(l) = 11*l**2 - 18*l - 8. Let x(t) = 2*t**2 - t - 2. Let w(q) = k(q) - 6*x(q). Calculate the remainder when 135 is divided by w(-5).
18
Suppose -7*n + 246 = -9*n + 4*d, 111 = -n - 2*d. Let g = -40 - n. Calculate the remainder when g is divided by 10.
7
What is the remainder when (-1 - -1705) + (31 + -9 - 23) is divided by 341?
339
Suppose 3*p - 6*p + 117 = 0. Let y = p - -19. Let s(f) = -3*f**3 + 3*f**2 + 5*f + 5. What is the remainder when y is divided by s(-2)?
27
Let h(z) = z - 9. Let w be h(-9). Suppose 5*u = 3*u + 122. What is the remainder when u is divided by 6*(-1)/w - (-62)/3?
19
Let q(f) = -f - 1. Let j(n) = -101*n**2 + 3*n + 5. Let i(m) = -j(m) - 3*q(m). What is the remainder when i(-1) is divided by 21?
15
Suppose 0 = 2*j + x - 1079, 347 = 2*j - 4*x - 727. Calculate the remainder when j is divided by 124.
43
Let g be (-2)/(-20) + 7 + 662/(-20). Let p = g + 157. Calculate the remainder when p is divided by 11.
10
Let t = -34 - -34. Suppose 2*h + 3*s = 13, -4*s = -t*h - 2*h - 8. Suppose -27 = -n - h*b + 21, -4*n = 2*b - 210. What is the remainder when n is divided by 14?
12
Calculate the remainder when 234 is divided by (517/66 - 6/(2 - 0))*6.
2
Suppose 3116 = 2*w - 3*k, 6232 = 4*w + k + 2*k. What is the remainder when w/14 - (-5 + 111/21) is divided by 28?
27
Suppose u = 5*y - 31, 2*y - 3*u + 8*u - 34 = 0. Let d = 2501 - 2494. Suppose d*g + y = 8*g. Calculate the remainder when 27 is divided by g.
6
Suppose 0 = 3346*p - 3350*p + 32, -p = 3*i - 1370. Calculate the remainder when 1404 is divided by i.
42
Suppose 26*v - 32*v + 13650 = 0. Suppose -18 = -m + 6. What is the remainder when (-1*(-4)/(-10))/((-13)/v) is divided by m?
22
What is the remainder whe