n b is divided by r.
5
Let s(r) = r**3 + 16*r**2 + 3*r + 54. Let k(o) = -o**3 + 5*o**2 - 3*o + 1. What is the remainder when k(3) is divided by s(-16)?
4
Suppose 2*l + x - 18 = 0, 15 = 3*l + 5*x - 5. What is the remainder when 207 is divided by l?
7
Let l = -10 - -12. Suppose -5*w = 5, -l*n - w = -4 + 1. What is the remainder when 6 is divided by n?
0
Suppose -4*m + 0*t + 184 = -5*t, -t - 4 = 0. Let h(d) = d**2 - 4*d + 9. Let j be h(5). What is the remainder when m is divided by j*(2 - (-2 - -3))?
13
Let l(u) be the second derivative of -u**4/12 + 4*u**3/3 - 3*u**2/2 + 7*u. What is the remainder when 10 is divided by l(7)?
2
Suppose -3*c + 9 = 3*u, 4*u - 3 = 4*c + c. Suppose -m = -30 - c. What is the remainder when m is divided by 17?
14
Let x = -10 + 22. What is the remainder when 58 is divided by x?
10
Let g(y) = -y**3 - 6*y**2 - y - 1. Calculate the remainder when 17 is divided by g(-6).
2
Suppose 0 = 2*j - 5 - 11. Suppose 101 = 3*s + j. Calculate the remainder when s is divided by 16.
15
Suppose 11 = 2*g - 43. Calculate the remainder when 79 is divided by g.
25
Let n(m) = -m**3 + 10*m**2 - 7*m + 5. Let k be n(6). Let y = k - 51. What is the remainder when y is divided by 19?
18
Let x(i) = 2*i + 4. What is the remainder when x(3) is divided by (0 + 2)*-1*(-1 - 1)?
2
Let c be (-66)/(-15) + (-2)/5. Suppose -218 = -3*u - c*n, -2*u + 2*n = -6*u + 284. Calculate the remainder when u is divided by 24.
22
Suppose 0 = 2*n - 6 + 2. Suppose n*p - 8 = 5*w, 2*w + p = 4*p - 12. Let q = 2 + w. Calculate the remainder when 3 is divided by q.
1
Let k(l) = -3*l + l**2 - 5 + 10 + l. Suppose 2*x = -2*t - 2*x + 64, 2*t = 5*x + 91. What is the remainder when t is divided by k(5)?
18
Let g = 38 - 1. Calculate the remainder when 108 is divided by g.
34
Let r(x) be the second derivative of x**4/6 - 7*x**2/2 - 5*x. Calculate the remainder when r(-5) is divided by 15.
13
Calculate the remainder when 62 is divided by -1 + 3 + 16 + (-3)/3.
11
Let s = 49 - 36. Suppose -3*k + 4*h = -54 - 37, 2*k + 3*h = 89. Calculate the remainder when k is divided by s.
11
Suppose s - 45 + 12 = -5*o, 0 = 5*o - 10. Let p = s - 16. Calculate the remainder when p is divided by 4.
3
Suppose -5*p - 3*g + 3 + 18 = 0, -2*p - 2 = -4*g. Let a = 17 - 12. Calculate the remainder when a is divided by p.
2
Let i(o) = 3*o**2 + 4*o - 1. What is the remainder when i(3) is divided by 20?
18
Let f(b) = 2*b**2 - 8*b - 8. Calculate the remainder when f(7) is divided by 13.
8
Suppose -2*z = -0 - 2. Let d be z*3/(-6)*-94. Let i = -22 + d. Calculate the remainder when i is divided by 7.
4
Suppose 2*h = 4*l - 476, 5*h = -4*l + 618 - 156. Calculate the remainder when l is divided by 30.
28
Let n be 3/5 + 648/45. Suppose -32*u = -31*u - n. What is the remainder when 27 is divided by u?
12
Let t(m) = -m**3 - 3*m**2 - 2*m. Let f be t(-2). Suppose 3*o + f*o = 21. What is the remainder when 11 is divided by o?
4
Calculate the remainder when 33 is divided by 5 + 5 + (0 - 1) + 1.
3
Let t(u) = -u**3 + 5*u**2 + 3*u - 6. Let j be t(4). Let z = j + -15. What is the remainder when 19 is divided by z?
5
Let w = -34 + 43. Calculate the remainder when 13 is divided by w.
4
Suppose 65 = -p + 6*p. Calculate the remainder when 25 is divided by p.
12
Suppose 2*y = -0*g - 5*g + 45, y - 3*g = 6. What is the remainder when 103 is divided by y?
13
Let y = 6 - 2. Suppose y*h - 4 = 0, -34 = -0*p - 5*p + h. Let g(i) = 2*i - 5. Calculate the remainder when 34 is divided by g(p).
7
Let d = 84 - 51. What is the remainder when 96 is divided by d?
30
Suppose -6*p - 4 = -8*p. Suppose 0 = -c - p*c + 99. What is the remainder when c is divided by 18?
15
Suppose 4*a = -4*j + 3*a + 16, 2*j = 2*a - 2. What is the remainder when 18 is divided by j?
0
Suppose 5*y - 157 + 0 = -o, -2*y + 70 = 4*o. What is the remainder when y is divided by 12/(-42) - (135/(-7) - -3)?
15
Let j(h) = 5*h - 2. What is the remainder when -3*(0 - 1/2)*10 is divided by j(2)?
7
Suppose -2 = 2*n - 22. Suppose 0 = 5*x - n. What is the remainder when (1 + 1)/(2/4) is divided by x?
0
Let c = -149 - -160. What is the remainder when 29 is divided by c?
7
Let t(f) = 6*f**2 - 4*f + 2. Suppose -2*p + 41 = -27. What is the remainder when p is divided by t(2)?
16
Let p be (2 + 0/2)/1. Let o(c) = 7*c**2 - 47*c + 48*c - 4*c**2 + 1. Calculate the remainder when 28 is divided by o(p).
13
What is the remainder when 15 - (0 + 0)/4 is divided by 9?
6
Let n(v) = v - 3. Let u be n(6). Suppose -u*l + 2*l - z + 84 = 0, 4 = 4*z. What is the remainder when l is divided by 21?
20
Let d = 57 - 28. Calculate the remainder when 51 is divided by d.
22
Let t = -34 - -56. Let x = -8 + t. What is the remainder when x is divided by 8?
6
Let h(n) = n**2 + n + 5. Calculate the remainder when h(6) is divided by 22 + 4/6*3.
23
Suppose -2*u + 2*q = -16, 3*u - 2*q + 16 = -7*q. Calculate the remainder when u is divided by 1.
0
Suppose 0 = -3*l + 21 - 3. Let p = 7 - l. Calculate the remainder when 4 is divided by 0/p - (-2 - 0).
0
Suppose v - 14 = -0. What is the remainder when v is divided by 5?
4
What is the remainder when ((-9)/(-6))/((-3)/(-306)) is divided by 31?
29
Let f(v) = 3 + 2*v + 2*v - v - 15. Calculate the remainder when 47 is divided by f(8).
11
Let f = 9 + -4. Suppose 48 = f*o - o. What is the remainder when 23 is divided by o?
11
Let v(u) = -7*u - 6. Let m be v(-15). Calculate the remainder when 8 - 0/(-2) - -1 is divided by 106/22 - (-18)/m.
4
Suppose -3 + 15 = -4*w. Let i(g) = 2*g**2 - 3. Let p be i(w). Suppose -2*f + 2*y + 6 = 0, -2*f = 2*f - y - p. What is the remainder when 10 is divided by f?
2
Suppose a - 23 = u - 3*u, 5*u = 3*a + 85. Calculate the remainder when 50 is divided by u.
8
Suppose b = 3*b - 2. Calculate the remainder when 13 is divided by 4*(15/12)/b.
3
Let o(v) = -2*v - 2. Let q be o(-4). Calculate the remainder when 26 is divided by ((-36)/10)/(q/(-15)).
8
Suppose -5*z + 65 = 3*d - 54, z = -4*d + 34. Suppose -y = 100 - 186. What is the remainder when y is divided by z?
20
Let c(g) = g - 1. Let p be c(-5). Let j = p - -23. Let f(u) = 2*u + 7. What is the remainder when f(13) is divided by j?
16
Let i(f) = -11*f**2 - 2*f + 6. Let x be i(3). Calculate the remainder when 2 + -5 + (7 - x) is divided by 26.
25
Let c = -3 + 46. Let v = c - 30. Calculate the remainder when 25 is divided by v.
12
Let o = -4 - -6. What is the remainder when 18 is divided by o?
0
Let z = -9 - -20. Suppose 0 = -2*k - 2*k + 28. Let n = 27 - k. Calculate the remainder when n is divided by z.
9
Let m = 2 + 0. Suppose 10 = 3*x - r, r = -m*x - 3*x + 6. Calculate the remainder when (-8)/(-12) - (-26)/6 is divided by x.
1
Let l(g) = g**3 + 0*g - 3 + 8*g**2 - 8 - 2*g. Let n be l(-8). Suppose 0*p + 155 = n*p. What is the remainder when p is divided by 11?
9
Suppose -4*w - f + 14 = w, 2*w - 24 = -5*f. Suppose -2*p - 2*p = -5*c - 21, 3*c + 11 = 2*p. Calculate the remainder when p is divided by w.
0
Suppose 2*u = 2*m - 20, 2*u + 2*m - 15 = -3*m. Let l = u + 9. Suppose -2*g + l*g - 2 = 0. What is the remainder when 1 is divided by g?
0
Let y(h) be the second derivative of -h**4/12 - 4*h**3/3 - 2*h**2 - h. Calculate the remainder when 15 is divided by y(-6).
7
Suppose -4 = -0*f + f. Let y = -481 + -323. Calculate the remainder when f/14 + y/(-21) is divided by 13.
12
Let z = 4 - -2. What is the remainder when (-30)/4*(-144)/108 is divided by z?
4
Calculate the remainder when 18 is divided by -1 - (-20)/(-8)*-2.
2
Let o = -87 + 106. What is the remainder when 189 is divided by o?
18
Suppose 0 = -8*b + b + 147. Calculate the remainder when 145 is divided by b.
19
Let o(k) = 1 + k - k - k**3. Let h be o(1). Suppose h*p - 4*p + 156 = 0. Calculate the remainder when p is divided by 20.
19
Let v = -109 + 198. What is the remainder when v is divided by 46?
43
Suppose 0 = 4*o - x - 3*x - 56, 2*x - 84 = -5*o. What is the remainder when 61 is divided by o?
13
Suppose -u + 43 = -93. Let h = -46 + u. What is the remainder when h is divided by 23?
21
Suppose 5*y = -5*m + 101 + 24, 0 = 3*m + y - 69. Calculate the remainder when m is divided by 16.
6
Let f = -51 - -65. Calculate the remainder when f is divided by 4.
2
Let t(c) = 5*c - 19. What is the remainder when 11 is divided by t(5)?
5
Suppose k = -2*k + 2*i + 22, 36 = 4*k - 4