 - 2. What is the remainder when n(a) is divided by 27?
26
Let k(n) = 4*n**2 - 9*n + 8. Suppose -3*s = -3*z - 6, 4*s = s - 5*z + 14. What is the remainder when 235 is divided by k(s)?
14
What is the remainder when 167/4 + 1/4 is divided by (-13)/(-1) + (-12 - -4 - -4)?
6
Let g(s) = -6*s + 4. Let n be g(13). Let q = -67 - n. Calculate the remainder when 38 is divided by q.
3
Let y(x) = -x**3 + 10*x**2 - 10*x + 11. Let g be y(9). Let o(l) = -2*l - 5*l - g + 8*l - 3. Calculate the remainder when 9 is divided by o(7).
1
Let l(i) = -5*i - 4. Suppose -2*r + d - 11 = -2*d, -30 = -5*r - 4*d. What is the remainder when 3 + 1 - r - -41 is divided by l(-3)?
10
Suppose -u = -1 - 2. Suppose -2*r - u*m + 60 = m, 3*r - 3*m = 126. Suppose 3*x + r = 110. Calculate the remainder when x is divided by 13.
11
Suppose x + 2*b - 11 = 0, 28 = 5*x - 0*b + b. Suppose 2*j - 4*z = 26, -2*z - 8 = 5*j - 37. What is the remainder when j is divided by x?
2
Let r be 256/14 + (-30)/105. Let u = r - 1. What is the remainder when u is divided by 6?
5
Let k = 91 + -88. Calculate the remainder when 66 is divided by k/24 - (-1647)/72.
20
Suppose 155 = -3*i + 1553. Suppose -272 - i = -9*k. Suppose -6*v = -k - 38. What is the remainder when 59 is divided by v?
19
Let k(z) = 2*z**3 + 21*z**2 + 18*z + 109. What is the remainder when 140 is divided by k(-10)?
24
Suppose 3*h - 5*y + 61 - 358 = 0, -3*h + 4*y = -297. Calculate the remainder when 489 is divided by h.
93
What is the remainder when (212/1 - 1)/(-29 - -30) is divided by 53?
52
Let g(i) = -i**3 - 65*i**2 - 127*i - 61. Let l be g(-63). Let y = -8 - -2. What is the remainder when (15/l)/(y/(-56)) is divided by 18?
16
Suppose -5*a - 4*h + 331 = 0, h - 148 + 18 = -2*a. Calculate the remainder when 624 is divided by a.
57
Let k = -958 - -962. Calculate the remainder when 59 is divided by k.
3
Let u(h) = -h**3 - 4*h**2 + 4. Calculate the remainder when u(-5) is divided by 9*(-40)/168*-7.
14
Suppose -647 = -19*q + 645. What is the remainder when q is divided by 14?
12
Suppose -6*p = -8*p + 6. Let n = p - -14. What is the remainder when 67 is divided by n?
16
Let w(m) = m**2 - 8*m + 8. What is the remainder when w(11) is divided by -7 + (-65)/(-2 - 3)?
5
Let x = -49 - -58. Let l = -3 - 5. What is the remainder when l/(-36) + 608/18 is divided by x?
7
Let x(u) = -2*u + 22*u - 6*u - 10*u - 2. Calculate the remainder when 7 is divided by x(1).
1
Suppose 0 = 5*u - 6*u + l + 128, 4*l - 118 = -u. Calculate the remainder when 401 is divided by u.
23
Let n = -29 + 29. Suppose n*j = 4*j + 4*b - 232, -5*j + 3*b + 314 = 0. What is the remainder when j is divided by (-2)/(-3)*(-189)/(-6)?
19
Let p be (-31)/(-3) + (-20)/(-30). Suppose 9*x - p*x = -8. What is the remainder when x is divided by 3?
1
Let t(h) = -h**2 - 15*h - 11. Calculate the remainder when t(-7) is divided by 25.
20
Let i be (-1)/(3*(-4)/24). Suppose 2*m = -i*m. Suppose m*k = -2*k + 52. What is the remainder when k is divided by 14?
12
Let c(u) = 416*u - 209. Calculate the remainder when c(2) is divided by 16.
15
Suppose -m - 3*m + 44 = 0. What is the remainder when m is divided by (7/7)/((-2)/(-12))?
5
Calculate the remainder when -74*((-4)/6)/((-26)/(-39)) is divided by 15.
14
Suppose -25 = 9*j + 110. What is the remainder when (-250)/(-8) + j/60 is divided by 18?
13
Suppose -i - 82 = -m, 3*m - 210 = 2*i + 38. Let k = m - 30. Calculate the remainder when k is divided by 11.
10
Suppose -2*k + 60 = -12*k. What is the remainder when (9/k)/((-1)/94) is divided by 13?
11
Let p(k) = 16*k**2 - 4*k + 11. What is the remainder when 133 is divided by p(2)?
66
Let t(a) = a**3 + 17*a**2 - 2*a + 95. Suppose -m + 4 + 6 = 0. Calculate the remainder when t(-17) is divided by m.
9
Suppose -5*p = 4*u - 297, 5*p - 206 = -5*u + 89. Calculate the remainder when p is divided by 49.
12
Let i = 18 - 6. Suppose -5*r + 16 = 2*f, 4*r = -2*f + r + i. Suppose -2 + 12 = f*v + 5*l, -3*v + 4*l = -19. Calculate the remainder when 12 is divided by v.
2
Let d(i) = i**3 - 10*i**2 + 14. Let r be 33*(4 + 40/(-12)). Let v = r + -12. Calculate the remainder when 54 is divided by d(v).
12
Let z(o) = o + 24. Let l be z(0). Let b = l - 7. What is the remainder when 50 is divided by b?
16
Suppose -4*z - 12 = 0, 0 = -3*k - 0*z - 2*z. Let a be 4*(171/6 + k). Calculate the remainder when 33 is divided by a/10 - (-4)/(-20).
9
Let x = 82 - 45. Let m = 40 - x. Suppose 0*q + 4*q + d - 37 = 0, -3*d + 15 = 0. What is the remainder when q is divided by m?
2
Let y = 35 - 7. Let q = y + -1. What is the remainder when q is divided by (-1)/(1 + (-30)/28)?
13
Calculate the remainder when (-83 - 0/(-1))/((-11)/22) is divided by 25.
16
Let t(u) = -u**2 + 14*u + 19. Let b be t(15). Let a(p) = -6*p**2 + p**3 - 4*p + 11*p**2 - 6*p**2 + 4. What is the remainder when a(b) is divided by 10?
6
Suppose 84 + 132 = 4*z. Let i(j) = -3*j + 31. Calculate the remainder when z is divided by i(7).
4
Let j(m) = m**2 + m. Let r be j(-1). Suppose -g + 1 - 3 = 0. Let w = r - g. Calculate the remainder when 4 is divided by w.
0
Suppose 0 = 4*p - 4*t - 68, 3*p - 12 = -t + 51. What is the remainder when p is divided by 24/44 + 0 - (36/66 - 5)?
0
Let r(q) = 8*q + 20 - q + 4*q - 6*q. What is the remainder when 38 is divided by r(0)?
18
Suppose 0 = 6*v - 8*v - 566. Let z = v + 397. What is the remainder when z is divided by 29?
27
Let o(h) = 50 - 13*h - h**3 + h**2 + 23*h**2 - 37*h. What is the remainder when o(21) is divided by 54?
53
Let y = 109 - 59. Suppose -y = 9*f - 230. What is the remainder when 77 is divided by f?
17
Let g = 42 - 11. Suppose 0 = -3*b - 7 + 19. Suppose 0*h = b*h - 68. What is the remainder when g is divided by h?
14
Suppose -4*z - z = -45. Let j(n) = 8 + 10*n - 3 - 3 - 8. What is the remainder when j(3) is divided by z?
6
Let f(b) = -3*b + 9 + 5*b + 16*b**2 - 2*b + b**3. Let k be f(-16). Let a(x) = x**3 - 9*x**2 + x. What is the remainder when 34 is divided by a(k)?
7
Let v(p) = p**2 - 3*p + 3. Let o be v(3). Let c(a) = 10*a**2 - o*a - 6*a**2 + 1 + 0*a**2 + 13*a**2. What is the remainder when 27 is divided by c(1)?
12
Suppose 2*x + 8 = -4*f, 2*x = 4*f + 45 - 13. What is the remainder when 0/x - (0 - 43) is divided by 15?
13
Let l be (-57)/7 + 2/14. Let k = 10 - l. What is the remainder when k is divided by 7?
4
Let y(b) be the second derivative of b**4/2 + b**3/6 - b**2 - b. Suppose -8*h + 275 = -341. Calculate the remainder when h is divided by y(-2).
17
Suppose -210 = -20*n + 10*n. What is the remainder when 239 is divided by n?
8
Suppose 3*s - 4*b - 41 = 2*s, 3*b + 132 = 3*s. Let h be (20/(-3))/((-4)/(-18)). Calculate the remainder when 61 is divided by 591/s - (-4)/h.
9
Let c = 2810 + -2670. What is the remainder when 278 is divided by c?
138
Let i(z) = -z**3 + 34*z**2 - z + 50. Calculate the remainder when 140 is divided by i(34).
12
What is the remainder when -3 - 4896/(-85) - 4/(-10) is divided by 29?
26
Let u(v) = 135*v**3 + 2*v**2 - 3*v + 1. What is the remainder when u(1) is divided by (-153)/6*8/(-6)?
33
Let u = -412 + 431. What is the remainder when 2011 is divided by u?
16
Let u be (45/27)/(10/12). Suppose -k - 56 = -u*k. Calculate the remainder when ((-88)/(-14))/(16/k) is divided by 8.
6
Suppose 15 = -t + 6*t. Suppose 74 = t*v - 40. What is the remainder when 111 is divided by v?
35
Suppose 10*a = -28 - 82. Let n = a + 45. Calculate the remainder when n is divided by 20.
14
Let t(n) = 6*n**3 - 11*n + 20. Calculate the remainder when 132 is divided by t(2).
40
Let b = -978 + 990. Calculate the remainder when 20 is divided by b.
8
Suppose -3*u = -5*p - 93, -3*u - 5*p + 4 + 119 = 0. Suppose -103 = -j + 3*f + 42, 0 = 5*j + 4*f - 706. Calculate the remainder when j is divided by u.
34
Calculate the remainder when 98 is divided by ((1 + -1)/(-5))/(-2) + 21.
14
Suppose 0 = 4*c - 3*z - 15, c = 4*z + z + 25. Let m be -2 + (c - 3 - 32). Let k = -18 - m. What is the remainder when 36 is divided by k?
17
Let i be (1/(-2))/((-7)/840). Suppose -4 = 7*b - i. Calculate the remainder when 24 + -3 - (1 - 3) is divided by b.
7
Let d be 12*2*12/32. Let z(y) = -49 - d*y + y**2 + y**2 + 55. What is the remainder when 41 is divided by z(5)?
8
Suppose 0 = -7*c - 427 + 994. What is the remainder when 566 is divided by c?
80
Suppose -2*k + 5*r + 1