*u. Let l(b) = b**3 - 8*b**2 - 11*b + 5. Calculate the remainder when l(10) is divided by u.
23
Suppose -5*z = -3*s + 40, 0 = 3*z - 4*z - 4*s + 15. Let u be (z/(-10) + 0)*-24. Calculate the remainder when 1 + u/(-24)*(-1 + 25) is divided by 8.
5
Suppose -3*v = 5*h - 535, 0 = h + 10 - 15. Calculate the remainder when 5097 is divided by v.
167
Let v(u) = u**3 - 41*u**2 - 337*u + 143. What is the remainder when 4463 is divided by v(48)?
93
Let a = 13 - -26. Suppose 16 + a = r. Suppose -22*p + 78 + 26 = -9*p. Calculate the remainder when r is divided by p.
7
Let j = -17 - -31. Suppose -74*b + 84*b = 220. Suppose r = 47 - b. What is the remainder when r is divided by j?
11
Let f = 159 + -79. Suppose -200 - f = -5*t. What is the remainder when t is divided by 16?
8
Suppose 0 = 23*s - 12 - 11. What is the remainder when 97 is divided by ((-931)/114)/(s/(-6))?
48
Suppose 224*l - 119*l = 119*l - 7826. Calculate the remainder when l is divided by 152.
103
Let u = 176 - 170. Calculate the remainder when 5 + (5 - u*-10) is divided by 24.
22
Let j(i) = i + 1. Let z be j(3). Let m be z/8*0*(-1)/3. Suppose -3*x + 11 = h, h + m*x + x - 11 = 0. What is the remainder when 20 is divided by h?
9
Let j be 5 - 1/(3/9*-3). Calculate the remainder when (j/4)/(21/(-28)) - -56 is divided by 25.
4
Let y = 595 - 593. What is the remainder when -10 + y + 279 - 24/(-4) is divided by 56?
53
Suppose -77*r - 120 = -81*r. What is the remainder when 211 is divided by (-2)/(-5) - 1 - (-2178)/r?
67
Suppose 294*a - 301*a = 119. Let j(i) = i + 100. What is the remainder when j(a) is divided by 13?
5
Suppose -44*g - 21 = -47*g. Suppose -g*r + 19*r = 2340. Suppose -125 = 5*z - r. What is the remainder when z is divided by 4?
2
Suppose 4*n - 55 = -2*z + 41, -3*z = -5*n + 131. Let q = 461 - 415. What is the remainder when q is divided by n?
21
Suppose 2*m + 410*k = 408*k + 1048, 5*m - 5*k - 2680 = 0. Calculate the remainder when m is divided by 46.
24
Suppose 2*j + 13 = -163. Let i be (15/(-20))/(1/j). Let g = i + -60. Calculate the remainder when 11 is divided by g.
5
Let a be ((-12)/5 + 3)*5. What is the remainder when 45 is divided by 870/55 + a*2/33?
13
Suppose w = 3, 3*h - 5*w - 110 = 55. What is the remainder when 3658 is divided by h?
58
Suppose 4*z - 2*y = 22, 2 = -z + 5*y + 3. Let t(n) = 5*n + 3. Let d(o) = -6*o - 3. Let q(r) = 4*d(r) + 3*t(r). What is the remainder when z is divided by q(-1)?
0
Suppose -11*d + 7*d - 828 = 0. Let v = d - -240. What is the remainder when 64 is divided by v?
31
Let q = 47 + 26. Calculate the remainder when q is divided by (-7)/(4/(-9 - 3)).
10
Calculate the remainder when 338 is divided by (-28)/12*(-17 - -17 - (2 + 82)).
142
Suppose 11389 + 24578 = 65*b + 6782. What is the remainder when b is divided by 4/(-6) + (-274)/(-6)?
44
Let k(t) = -6*t - 326. Let z be k(-56). Calculate the remainder when 4/z*((-77)/(-11) + 273) is divided by 39.
34
Let k be (2*(-62)/4)/(-1). Let c = 1795 + -1791. Suppose -c*m + 0*p + k = p, 5*p = 15. Calculate the remainder when 15 is divided by m.
1
Suppose -12 - 22 = 24*u - 154. Let x be -2*(3 - (3 + -1)). Calculate the remainder when (-1)/2 - 99/x is divided by u.
4
What is the remainder when 851 is divided by ((-13)/(-2) + 9)*(-7 + 9)?
14
Let l(q) = 3*q - 4. Let r = 1340 - 775. Let p = 572 - r. What is the remainder when l(5) is divided by p?
4
Suppose -419*t + 192*t = -319162. Calculate the remainder when t is divided by 83.
78
Let m be (-12)/10*90/(-36). Let l(w) = 15*w + 2. Let z(y) = -20*y + 165. What is the remainder when l(m) is divided by z(7)?
22
Suppose 10 = -30*m + 32*m, 3*y + 4*m - 290 = 0. What is the remainder when y is divided by 33?
24
Suppose -225*t = -t - 141344. What is the remainder when t is divided by 134?
95
Suppose -3*n + c - 1 = 0, 8*c = -4*n + 6*c - 8. Calculate the remainder when n/(1/35)*(-58)/145 is divided by ((-5)/(0 + 1))/(-1).
4
Suppose -60 = -3*o + 3*y, 0 = -o - 25*y + 24*y + 20. What is the remainder when 3309 is divided by o?
9
Let r(t) = t**3 - 31*t**2 - 28*t - 848. What is the remainder when r(33) is divided by 135?
1
Let w be (2 - 2)/(-5 - -1). Suppose w = 19*s - s - 216. Calculate the remainder when 225 is divided by s.
9
Suppose 0 = 3*p - 3*c - 39, 252*c = p + 247*c - 37. Calculate the remainder when 2196 is divided by p.
5
Let w(o) = 20*o - 375. Let f be w(19). Suppose 0*c + 170 = 3*c - 5*k, -k + 246 = f*c. What is the remainder when c is divided by 6?
2
Suppose -6333 = 11*r - 6377. Let g(m) = m - 5. Let h be g(4). Calculate the remainder when r + -9*(-4 + h) is divided by 26.
23
Let p = -249 + 449. Suppose 91*l = 101*l - p. Calculate the remainder when l is divided by 7.
6
Let k(s) = -2*s**3 - 14*s**2 + 16*s + 3. Let r be k(-13). Suppose -r = -12*j - 443. Calculate the remainder when j is divided by 39.
37
Let v(o) = -4*o**3 - 8*o**2 - 8*o + 13. Suppose 5*h + 5*b + 10 = 0, -9*h + 5*b - 17 = -5*h. Calculate the remainder when v(h) is divided by 38.
35
Suppose 0 = q + 5*l - 81 + 16, 5*l = 2*q - 160. Let v = q - 68. Suppose 0 = -a + 50 - 11. Calculate the remainder when a is divided by v.
4
Suppose -g - 2*b = -5*b + 12, -3*g - 4*b = -29. Let t(n) = 6*n**3 + 13*n**g + 2*n**2 - 4 - n - 7*n**3. What is the remainder when t(2) is divided by 20?
18
Let v = 215 - 79. Suppose 0 = -8*z - 3118 + 3494. Calculate the remainder when v is divided by z.
42
Let w = 61 + -61. Suppose 11*r - 7*r - 116 = w. What is the remainder when -8 + 6 + (55 - -1) is divided by r?
25
Let h(s) = 432*s + 55. Calculate the remainder when 108 is divided by h(0).
53
Suppose -943*b + 954*b - 55 = 0. Calculate the remainder when 161 is divided by b.
1
Let s = 75 + -43. Let a(f) = 20*f**2 - 15*f + 15. What is the remainder when a(-2) is divided by s?
29
Let c(t) = t**3 + t**2 + 3*t + 63. Let n(v) = -2*v**3 + 13*v**2 - 6*v. Let f = -17 + 23. Let m be n(f). Calculate the remainder when c(m) is divided by 13.
11
Suppose 5*d - 8 = -68. Let s(a) = -6*a**2 + 54*a - 72. Let p be s(8). Calculate the remainder when 23 is divided by 18/d*p/9.
3
Suppose -5*b - 2*r = -382, -r = 4*b - 3*r - 302. Calculate the remainder when 1684/10 + b/(-190) is divided by 34.
32
Let g(m) = 8*m - 23. Let n(a) = -15*a + 47. Let f(y) = 5*g(y) + 3*n(y). What is the remainder when 45 is divided by f(2)?
13
Suppose 3*w - d = 2 + 17, w + 5*d - 17 = 0. Suppose w*i - 162 = 4*i. Let b = -47 + i. What is the remainder when b is divided by 5?
2
Let m(w) be the second derivative of w**3/2 + 51*w**2 + 6*w + 4. What is the remainder when m(-8) is divided by 10?
8
Let k = 448360 - 448172. Suppose 0 = 2*c - 115 - 11. What is the remainder when k is divided by c?
62
Let p = 217 + -224. Let w(v) = -v**2 - 14*v - 38. Calculate the remainder when 12 is divided by w(p).
1
Suppose 0 = -2*l + 4*w + 382, -4*l + 2*w - 5*w = -720. Suppose 126 + 2544 = 30*m. Let f = 136 - m. Calculate the remainder when l is divided by f.
42
Suppose 0 = u - 3*x - 26, -3*u = 2*u - x - 200. Suppose 73 = 5*y - 3*a, -13 = -y + 3*a + 4. Suppose 4*h = y + 10. What is the remainder when u is divided by h?
5
Let g(r) = -7*r**2 - r + 2. Let u be g(-2). Let d = 267 - 274. Let f = d - u. What is the remainder when 60 is divided by f?
9
Suppose 6 = 2*r - 3*a, 2*a - 6 = 2*r - 16. Let c(x) = x**3 - 5*x**2 - 8*x - 24. What is the remainder when c(r) is divided by 21?
18
Suppose 0 + 9 = -3*k, -43 = -4*z + 5*k. Calculate the remainder when 690/z + (72/42)/(-3) is divided by 10.
8
Suppose 8*y - 207 = -31. Let j = 338 - 330. What is the remainder when y is divided by j?
6
Let n = -559 - -564. Suppose -2*w - n*v + 37 = 10, 4*v + 20 = 0. What is the remainder when 75 is divided by w?
23
What is the remainder when 695 is divided by 54/(-12)*(-104)/18?
19
Let m(o) = -2*o**3 + 54*o**2 - 337*o + 7. What is the remainder when 51561 is divided by m(17)?
57
What is the remainder when 428 is divided by 873/(-582) - 906/(-4)?
203
Let m(n) = 3*n**2 + 76*n + 10. Let l be m(-26). Suppose 4*j + 134 = 3*i, 2*j = -5*i + 118 + l. Calculate the remainder when 56 is divided by i.
18
Let f be ((-1)/(2/122))/((-99)/(-198)). Let x = f - -137. What is the remainder when x is divided by 1?
0
Let f be ((-5)/35)/(-1) + (-516)/(-14). What is the remainder when ((-2)/5)/(f/(-10545)) is divided by 29?
27
Suppose -146*w + 4102 = -4