e -3*k + 5*k - 4*p - 132 = 0, -5*k - 4*p + 344 = 0. Let c(q) = -q**3 - 6*q**2 + 4*q - 2. Calculate the remainder when k is divided by c(-7).
11
Suppose -68*t = -96*t + 2884. What is the remainder when t is divided by 23?
11
Let o(j) be the second derivative of -j**5/20 + 5*j**4/12 - 5*j**2/2 + 42*j. Calculate the remainder when 32 is divided by o(4).
10
Let q(s) = -177*s + 92. What is the remainder when q(-2) is divided by 30?
26
Let t(i) = -i**3 + i**2 + 61. Let h be (-56)/(-16)*2*1. Let s = 7 - h. Calculate the remainder when t(s) is divided by 21.
19
Calculate the remainder when 159 is divided by (-18 - -17)/(1/(-80)).
79
Let t = 1088 - 974. Calculate the remainder when 345 is divided by t.
3
Let j be (134 + 0 - -3) + -2. Suppose q - j = 6*q. What is the remainder when 3*3*(-75)/q is divided by 7?
4
Let g(c) = 35*c - 4 - 42*c + 6. What is the remainder when 66 is divided by g(-3)?
20
Suppose -n - 2 = 0, 3*i - 6 = 7*i - 3*n. Calculate the remainder when (-10)/(-6)*(-900)/(-250) is divided by (-2)/(0 - -2)*i.
0
Let i(y) = 8*y + 7. Suppose 2*d - 94 = -10. What is the remainder when (-3)/(-6) - d/(-4) is divided by i(0)?
4
Suppose 4 = 2*w - i - 7, -i = -4*w + 19. Suppose -3*o = 5*s - 59, -111 = -5*o - w*s + 2*s. What is the remainder when o is divided by 5?
3
Suppose 20*s - s - 570 = 0. What is the remainder when 54 is divided by s?
24
Suppose -3*p = 5*v - 77, -5*v - p - 34 = -103. Calculate the remainder when (4 + 3)*(-14)/(-2) is divided by v.
10
Let l(h) = -h**3 - 3*h**2 + 12*h + 1. Calculate the remainder when 8 is divided by l(2).
3
Suppose 3*y + n + 5 = 48, 5*y - 49 = 4*n. Calculate the remainder when 258 is divided by y.
11
Let k = 14 + 177. What is the remainder when k is divided by 32?
31
Suppose 294 = 26*g - 460. What is the remainder when 91 is divided by g?
4
Let i be 6/(-8) + 515/4. What is the remainder when 98 is divided by 2 - 9/((-36)/i)?
30
Let k = 214 - 164. What is the remainder when 199 is divided by k?
49
Calculate the remainder when (-22 + 26)*(-19)/(-4) is divided by 4.
3
Suppose -d + 3*m = -2*d + 221, 4*m = -8. What is the remainder when d is divided by 46?
43
Suppose 2*l = -3*l + 25. Suppose 0*o + 2*o - 612 = -l*c, -3*o - 119 = -c. Suppose p + p = c. What is the remainder when p is divided by 31?
30
Let j(d) = -d**2 - 5*d + 4. Let f be 5*((-12)/3 + 3). Let m be j(f). Suppose -8 - m = -4*p. What is the remainder when p is divided by 1?
0
Suppose -22*u + 6406 - 378 = 0. What is the remainder when u is divided by 6?
4
Let d(l) = -3*l**2 - 66*l + 19. Let k be d(-22). Suppose k = 10*g - 131. What is the remainder when 147 is divided by g?
12
Suppose -45 = -0*b - 3*b. Let p = b + -13. Suppose 5 = -j - 4*l, 3*j - 13 - 14 = p*l. What is the remainder when 11 is divided by j?
4
Let k(c) = -3*c**2 - c**3 + 2 - 17*c**2 + 8 + 0*c**3. Calculate the remainder when 29 is divided by k(-20).
9
Calculate the remainder when 182 is divided by 41 - 1*(-6 - 1).
38
Suppose n - 4 = 2. Let a be (-2 - -1)/((-3)/n). Suppose a*h = -2*h + 48. Calculate the remainder when 46 is divided by h.
10
Suppose 31*p = -19*p + 13000. What is the remainder when p is divided by 9?
8
Suppose -4*b + 69 = -3*b. Suppose -2*s + 3*j - 6 = -b, j + 1 = 0. Calculate the remainder when 119 is divided by s.
29
Let i(d) = d**3 - d**2 - 9*d + 13. Calculate the remainder when 398 is divided by i(4).
23
Suppose -90 = -5*n - 2*z - 10, z - 5 = 0. Let a(x) = -46*x - 3992. What is the remainder when n is divided by a(-87)?
4
Suppose -3*q + 261 = 5*p - 2*p, 0 = 4*p + q - 354. What is the remainder when 177 is divided by p?
88
Let f = -103 - -128. Suppose -4*z = -5*w + z + f, 3*w = -5*z + 47. What is the remainder when 52 is divided by w?
7
Suppose 128 = 3*g - g. What is the remainder when 252 is divided by g?
60
Suppose 0 = 6*w - 59 + 11. Suppose -4*r = d - 20, 5*d + 0*d + w = -2*r. What is the remainder when 93 is divided by r?
3
Suppose b - 4*j = 0, -4*b - 4*j = -3*j - 34. What is the remainder when 44 is divided by b?
4
Let p be -5*(3 + -4)*1. Suppose 3*k - 5*j = 183, k - p*j - 19 = 42. Calculate the remainder when k is divided by 31.
30
Let o(f) = -7*f**2 - 7*f - 6. Let a be o(5). Let w = 339 + a. What is the remainder when w is divided by 31?
30
Let b = -209 + 221. What is the remainder when 152 is divided by b?
8
Suppose 0 = -30*j - 12*j + 420. What is the remainder when 285 is divided by j?
5
Let j(a) = -a**3 - 22*a**2 + 4. Let p be j(-22). Suppose -3*r - d + 30 = -21, p*r - 2*d - 78 = 0. What is the remainder when r is divided by 12?
6
Suppose 299*h = 300*h - 10. What is the remainder when h is divided by 5?
0
Let j = -51 + 99. Let f = j + -32. What is the remainder when f is divided by 9?
7
Let s be (-766)/(-14)*-1 - (-4)/(-14). Let p = 60 + s. Let l(x) = x**3 - x**2 + x + 7. Calculate the remainder when l(0) is divided by p.
2
Let n(i) = -2*i**3 + 9*i**2 - 7*i + 5. Calculate the remainder when 94 is divided by n(3).
6
Suppose 4*c = 5*h - 295, -3*h - 5*c + 177 = -0*c. Calculate the remainder when h is divided by 24.
11
Let d = -208 + 320. Calculate the remainder when 336 is divided by d.
0
Suppose 0 = 3*v + 3*q - 105, -v + 132 = 3*v - 4*q. Calculate the remainder when 85 is divided by v.
17
Suppose -6 = -l + 5*h + 12, 0 = 5*l + 2*h + 18. Suppose 4*w - 25 = -b, -2*w - 4 = -4*w. Calculate the remainder when (-10)/((-9)/(-5) + l) is divided by b.
16
Calculate the remainder when 65 is divided by 33/(-77) - 482/(-14).
31
Let d(m) = -m**3 - 4*m**2 - 4*m + 1. Let x(y) = -4*y**2 - 5*y + 1. Let c(a) = -2*d(a) + 3*x(a). What is the remainder when c(4) is divided by 8?
5
Let s = 151 - 72. Let j = -380 - -400. Calculate the remainder when s is divided by j.
19
Suppose 0 = 5*d + 4*p + 54, -3*d - 34 + 7 = -3*p. Let k = d - -24. Calculate the remainder when 23 is divided by k.
9
Let y = 696 + -678. What is the remainder when 176 is divided by y?
14
Let l = 316 - -207. Calculate the remainder when l is divided by 35.
33
Suppose -5*m - 2 + 27 = 0. Let c = 338 + -336. Suppose c*b = 8, -m*r - 2*b = -0*b - 123. Calculate the remainder when 43 is divided by r.
20
Suppose -5*i = -4*i - 17. Let d be (66/12)/(-11)*4. What is the remainder when (16*d)/((-5)/10) - -2 is divided by i?
15
Suppose -9*v = -23*v + 4032. Calculate the remainder when v is divided by 59.
52
Let a = 162 - 152. Calculate the remainder when 35 is divided by a.
5
Suppose -5*v = 20, 21*d - 3*v - 2652 = 18*d. Calculate the remainder when d is divided by 63.
61
Suppose 18 = 5*d - 3*d. What is the remainder when 14 is divided by d?
5
Suppose -70*v - 912 = -4*g - 71*v, 1140 = 5*g + 5*v. What is the remainder when g is divided by 82?
64
Calculate the remainder when 175 is divided by 58 - (-32)/(-4) - 1.
28
Suppose -10 = 2*u - 2*m, 3*u - 5*u - 3*m = 0. Suppose -20*p + 79 = -401. Let q = p + u. What is the remainder when q is divided by 6?
3
Suppose -5*i + 3*m + m = -274, 5*i - 294 = -m. What is the remainder when 92 is divided by i?
34
What is the remainder when 4 + (-5168)/(-85) - 8/10 is divided by 5?
4
Let u = 314 + -296. What is the remainder when 699 is divided by u?
15
Let l = 17 + -13. Suppose -3*n - 3*y = y - 9, -5*n + 3*y + 44 = 0. Calculate the remainder when n is divided by 8/l*10/4.
2
Let v(l) = 17*l - 4. Let y be v(-7). Let b = y + 46. What is the remainder when 19 is divided by b/(-7) + -1 + 0?
9
Let y(v) = -v + 5. Let x be y(6). Let i(d) = d**3 - 4*d**2 - 2*d - 11. Calculate the remainder when i(5) is divided by 3/x + 3 + 2.
0
Let w = 6 - 1. Let d(a) = 4*a + 1. Let p be d(1). Suppose 5*i - 2*m - m - 82 = 0, -p*m = -i + 34. Calculate the remainder when i is divided by w.
4
Let j(n) = n**2 + 8*n. Let t be j(-11). Let a = -17 + t. Suppose v = 5*v - a. What is the remainder when v is divided by 2?
0
Let f be -2 + -2 + (0 - -15). Suppose g - 9 = 4*g. Let z = f + g. What is the remainder when z is divided by 3?
2
Let t = 4 + -6. Let d be (4/t)/2*-7. Let l(r) = 2*r**2 - 10*r - 3. Calculate the remainder when l(d) is divided by 14.
11
Let h(p) = -p**2 + 8*p - 7. Let u be h(7). Suppose u = 4*o - 3*o - 8. Calculate the remainder when o is divided by 4.
0
Let q = 308 + -156. What is the remainder when 1671 is divided by q?
151
Suppose 2*w + w = -153. Let p = w - -130. Suppose 0 = 3*s - 7*f + 2*f - 80, 4*f = 3*s - p. Calcul