) = -6*r**3 + 6*r**2 + 41*r + 21. Let j(u) = -2*n(u) + 11*p(u). Calculate the remainder when j(3) is divided by 10.
8
Suppose -r + 190 = 4*r. What is the remainder when 82 is divided by r?
6
Let o(x) = -x**2 - 12*x - 4. Let i(g) = g**2 + 5*g + 2. What is the remainder when i(-6) is divided by o(-11)?
1
Let s(w) = -w**3 + 8*w**2 - 6*w - 11. Let c be s(8). Let r = c + 81. Calculate the remainder when r is divided by 9.
4
Let a(y) = 28*y**3 - 28*y**2 + 29*y + 1. Calculate the remainder when 194 is divided by a(1).
14
Let u = 6258 + -6207. Let s = -98 + 31. Let h = -40 - s. What is the remainder when u is divided by h?
24
Suppose 4 + 0 = 2*c. Suppose 0 = -c*p - 4*x - 308, -2*p = 2*x - 3*x + 288. Let o = -101 - p. What is the remainder when o is divided by 23?
22
Let i(u) = -u**3 + 23*u**2 + 56*u - 62. What is the remainder when i(25) is divided by 18?
16
Let g(q) = -q**3 + 14*q**2 - 8*q - 97. What is the remainder when g(9) is divided by 80?
76
Let o(i) = -i. Let j(s) = 8*s + 5. Let f(a) = -j(a) - 2*o(a). Calculate the remainder when f(-3) is divided by 9.
4
Let i(s) = 7*s**2 + 12*s + 60. What is the remainder when 251 is divided by i(-4)?
3
Suppose -2*p + 3 = -p. Let b(v) = 16 + p*v - 5*v + 2*v + v. What is the remainder when 25 is divided by b(-9)?
4
Let g(w) = 2*w - 12. Let a be g(7). Suppose -a*s = -34 - 18. Calculate the remainder when 127 is divided by s.
23
Let a(o) = -o**2 + 19*o - 30. Let u = 21 + -8. Let p = 64 - u. What is the remainder when p is divided by a(16)?
15
Suppose -46*p = -50*p. Suppose 3*q = 4*q. Suppose k + q*k - 8 = p. Calculate the remainder when 22 is divided by k.
6
Suppose 28*k + 21682 = 102*k. What is the remainder when k is divided by 92?
17
Let r = 310 - 289. Calculate the remainder when r is divided by 11.
10
Suppose 12*y - 1903 = y. What is the remainder when y is divided by 29?
28
Let s(l) = l - 5. Let w be s(-10). Let t(h) = -4*h - 47. What is the remainder when t(w) is divided by 7?
6
Let q be ((-1 + 9)*-2)/(-2). Suppose -q = -3*o + 61. Calculate the remainder when o is divided by 6.
5
Let d(b) = b**3 + 21*b**2 + 37*b - 14. What is the remainder when 14 is divided by d(-19)?
4
Suppose 4*x - 302 = -2*h, 303 = 5*x - x + h. Suppose -4*m = t - 3*t + 56, -4*t + x = 4*m. Calculate the remainder when t is divided by ((-36)/24)/((-1)/4*1).
4
Suppose -202 - 474 = 13*p. Calculate the remainder when 21 is divided by (p/2)/(7 + -9).
8
Suppose 0 = t - 4*c - 104, -13*t = -10*t - 4*c - 344. Calculate the remainder when t is divided by 84.
36
Let k = 310 - 219. Let u be k/28 + 1/(-4). Suppose -5*t = 0, -2*r + 125 + 1 = -u*t. Calculate the remainder when r is divided by 16.
15
Suppose -13*k = -16*k - 4*v + 266, -2*v = -2*k + 168. What is the remainder when 1889 is divided by k?
83
Let m(x) = -x**3 - 5*x**2 - x - 5. Let o be m(-5). Suppose -3*t + 42 = -o*t. What is the remainder when t is divided by 8?
6
Let l(u) = 3*u**2 - 39*u - 15. What is the remainder when l(15) is divided by 38?
37
Let q = 1381 - 1365. Calculate the remainder when 162 is divided by q.
2
Let i(n) = -n**2 + 21 - n - n + 15*n. Let p be i(15). Let y = p + 11. Calculate the remainder when 6 is divided by y.
0
Suppose 7*v - 5798 = -1444. Calculate the remainder when v is divided by 16.
14
What is the remainder when 57 is divided by ((-2)/(-10))/(55/11275)?
16
Let x(j) = -3*j + 7. Let y(l) = 4*l - 8. Let r(q) = 3*x(q) + 2*y(q). Calculate the remainder when ((-18)/(-5))/(1/5) is divided by r(-2).
4
Let q(p) = -2*p**2 + 41*p - 9. Calculate the remainder when 93 is divided by q(19).
45
Let b(w) = -w**2 + 9*w - 4. Suppose f = 5*l + 60, -104 = -5*f + 2*f - 4*l. Calculate the remainder when f is divided by b(6).
12
Let n(o) = 4*o**2 - o + 64. Let f be n(0). Suppose 0 = 112*d - 110*d - f. What is the remainder when 158 is divided by d?
30
Suppose 8*x - 9*x + 7 = 0. What is the remainder when 37 is divided by x?
2
Let f = 7 + -10. Let y = -50 + 71. Calculate the remainder when 63 - 2*(f + 4) is divided by y.
19
Suppose -11*g + 10*g = u - 9, 3*g = 3*u + 39. Calculate the remainder when 124/3 - 2/(-3) is divided by g.
9
Suppose 2*v - 40 = g, -v + 102 = 4*v - 3*g. Calculate the remainder when ((-240)/28)/(-6)*49 is divided by v.
16
Suppose p + 3 = -4*r - 7, 2*p - 2*r = 20. What is the remainder when 124 is divided by p?
4
Let p be (5 + -2)*(-10)/(-6). Suppose -847 + 155 = 4*y - 4*x, -5*x = p. What is the remainder when 3/(-2) + y/(-12) is divided by 8?
5
Suppose 0 = -5*g - 3*n + 88, -3*g - 4*n = -0*g - 55. What is the remainder when (-3 - -3) + 4 + 45 is divided by g?
15
Suppose 2319 = -46*b + 10829. What is the remainder when b is divided by 44?
9
Let h = 110 - -38. Calculate the remainder when h is divided by 10.
8
Let a(l) be the second derivative of 0 + 23/2*l**3 + l**2 + 8*l. What is the remainder when a(1) is divided by 24?
23
Suppose -36*u + 41*u = -5*c + 35, 3*u + 12 = 0. Calculate the remainder when 73 - 0 - -2*1 is divided by c.
9
Let t(d) = -d**3 + 9*d**2 - 8*d + 4. Let n be t(8). Suppose 13 = -n*v + 81. What is the remainder when 31 is divided by v?
14
Suppose -3*l = -3*f, 2*l + 11*f = 16*f. Let o(y) = y**3 - 2*y**2 - y + 12. Calculate the remainder when 46 is divided by o(l).
10
Let l = -4863 - -4902. Let t = -12 - 47. Let q = -38 - t. Calculate the remainder when l is divided by q.
18
Let u(j) = j**3 + 8*j**2 + 9*j + 8. Let n be u(-7). Let c be (0 - (-3)/n)*4. Let k(r) = -r + 2. What is the remainder when 10 is divided by k(c)?
2
Let z(x) = -18*x**2 + 2*x - 2. Let m be z(1). What is the remainder when 20 is divided by m/(-2) - (-2 - 0)?
9
Suppose 25*x - 86*x + 9699 = 0. What is the remainder when x is divided by 44?
27
Let d be -2 + 3 + -1 + 4. Suppose 209 = 5*h - 3*o, -d*h - 2*o - 46 = -5*h. What is the remainder when h is divided by 21?
19
Let u be 25/10 - (-6)/(-4). Let n be ((1 - u)*-1)/(-1). Let s(w) = w + 14. Calculate the remainder when s(n) is divided by 6.
2
Suppose 5*i + 40 = i. Let w = 68 - 60. What is the remainder when 41 is divided by w + 5/i*-6?
8
Suppose 3*t = 5*d - 11, 6*t + 1 = t + 4*d. Let w be (-2 - 1 - -5) + 7. Suppose -a - 1 = -w. Calculate the remainder when a is divided by t.
2
Suppose -128*y + 124*y = -16. Calculate the remainder when y is divided by 1.
0
Suppose 8*h = 218 + 78. Calculate the remainder when 84 is divided by h.
10
Let n = 166 + 13. What is the remainder when n is divided by 49?
32
Suppose -43*a - 27*a + 207 = -213. Let y(q) = 9*q**2 - 3*q - 2. What is the remainder when y(-3) is divided by a?
4
Let r(t) = 5*t - 28. Let v be r(9). Let k = -8 + v. Calculate the remainder when 60 is divided by k.
6
Suppose -296 = -5*z - 3*z. Let m = -328 - -474. What is the remainder when m is divided by z?
35
Let q(z) = -4*z + 48. Let r be q(12). Suppose r = -3*s, -2*c - 2*s + 7*s = -16. What is the remainder when 31 is divided by c?
7
Let q(o) = 7*o - 40. Let r = 60 - 53. Calculate the remainder when 26 is divided by q(r).
8
Suppose 13*w - 2669 + 2435 = 0. Let g(t) be the third derivative of 3*t**4/4 - t**3/6 + 2*t**2. What is the remainder when g(3) is divided by w?
17
Suppose y - 145 - 104 = 0. What is the remainder when y is divided by 50?
49
Suppose -4*s + 103 = k, 5*s + 5*k = 2*k + 127. What is the remainder when 178 is divided by s?
22
Suppose -5*p = 4*w - 6*w - 5, 2*w + 2*p + 40 = 0. Suppose -3*h + 147 = 4*h. Let r = h + w. What is the remainder when 22 is divided by r?
4
Suppose 66*w - 64*w - 142 = 0. What is the remainder when w is divided by 36?
35
Suppose a = -4*k + 55, -2*a + 69 = 4*k + 15. Let o(q) = q**2 - 6*q - 6. What is the remainder when k is divided by o(8)?
4
Suppose 185 = 5*j - 270. Let g = 7 - 8. Calculate the remainder when j is divided by (23 - 0)/(0 + (-1)/g).
22
Let j = -16 + 11. Let t(g) = -g + 11. Calculate the remainder when 157 is divided by t(j).
13
Let x(y) = -2*y + 10. Let f(t) = 6 - 3 - 4. Let k(i) = 5*f(i) + x(i). What is the remainder when 13 is divided by k(0)?
3
Let a be (8 + -58)/(-2 - 0). Let z = a - 14. Calculate the remainder when z is divided by 3.
2
Let z(f) = -f**2 - 3*f + 6. Let j be z(-4). Suppose -3*w - j*w = -70. Calculate the remainder when 38 is divided by w.
10
Let x(j) = j**2 + 2*j. Let y be x(-3). Let a be y + (6 - 1) - -2. Calculate the remainder when 592/9 + a/45 is divided by 