8). Calculate the remainder when 0/7 + 0 + o is divided by 16.
15
Let x(i) = i**3 + 5*i**2 - i - 3. Let d(a) = -4*a**3 - a**2 + a. Suppose 3 = 3*l - 0. Let r be d(l). Calculate the remainder when 65 is divided by x(r).
14
Let c be (-4)/(-6)*264/16. Suppose -4*o - 5*n = -4 + 3, -4*o + n = 5. Calculate the remainder when (1 - -1) + o + c is divided by 5.
2
Suppose -8 = -2*m + 16. Suppose 0 = 4*h - m, 4*d - h - 3*h - 104 = 0. Calculate the remainder when d is divided by 4.
1
Let p(a) = -a**3 + 6*a**2 + 43*a - 9. What is the remainder when p(7) is divided by 41?
38
Suppose -211 = -17*a + 673. What is the remainder when 153 is divided by a?
49
Suppose -15*b + 330 = -0*b. What is the remainder when 73 is divided by b?
7
Suppose 2*z + 2*z + 214 = r, 0 = r + 2. Let m = z + 79. What is the remainder when 124 is divided by m?
24
Let y = 37 - 37. Suppose y = 3*k - 2*k - 19. What is the remainder when 68 is divided by k?
11
Suppose 78 = 6*s - 36. Suppose j + j = 0. Suppose -i - 2*l = -s, -l - 4*l + 15 = j. Calculate the remainder when 23 is divided by i.
10
Let q = 472 + -439. Calculate the remainder when 98 is divided by q.
32
Let v(o) = 3*o**2 + 70*o + 364. Calculate the remainder when 229 is divided by v(-6).
21
Let h(v) be the first derivative of v**3/3 - v**2 + 27*v + 17. What is the remainder when h(0) is divided by 7?
6
Let j = 18 - 17. Let a(b) = 11*b - 1. Calculate the remainder when a(j) is divided by 6.
4
Calculate the remainder when 261 is divided by ((-3472)/(-18))/8 - (-3)/(-27).
21
Let l = -15 + 15. Suppose -4*q - 54 + 198 = l. Calculate the remainder when q is divided by 10.
6
Let k = -45 - -60. Calculate the remainder when 117 is divided by k.
12
Let v = 40 + 1. Let u = v + -20. Calculate the remainder when u is divided by 8.
5
Suppose z - 13 = n + 1, 0 = 4*n. What is the remainder when 38 is divided by z?
10
Let w(s) = -s**3 - 3*s**2 - 2*s - 2. Let k be w(-3). Suppose 23 = -2*v - 3*c - 2*c, 0 = -k*v + c - 57. What is the remainder when 29 is divided by 216/21 + 4/v?
9
Suppose -27 - 141 = -6*p. What is the remainder when 83 is divided by 23 - (-6)/4*p/(-21)?
20
Let m = 548 + -219. Suppose -6*s + m = s. What is the remainder when 138 is divided by s?
44
Let m be 1 + 1 + -10 + 8. Let w(n) = m*n**2 + n**2 + 0 - 2*n**2 - 2 - 10*n. Calculate the remainder when 25 is divided by w(-8).
11
Let d = 419 - 110. What is the remainder when d is divided by 63?
57
Let c = -108 - -129. Let x be 3 + -5 + -3 + -1. What is the remainder when (-231)/x + 1/2 is divided by c?
18
Let a(y) = y**3 - 2*y**2 - 5*y + 1. Let c = 58 + -44. Let p(q) = 3*q - 17. What is the remainder when p(c) is divided by a(4)?
12
Suppose -13*u = -273 - 52. Suppose -s + u + 82 = 0. What is the remainder when s is divided by 22?
19
Let a = 363 - 331. Calculate the remainder when 63 is divided by a.
31
Suppose -649 + 1105 = 4*a. Suppose 3*t - 75 = -0*f + 4*f, 2*t = -3*f + 67. Calculate the remainder when a is divided by t.
27
Let a(q) = q**3 - 5*q**2 - 4*q + 6. What is the remainder when 71 is divided by a(6)?
17
Let q(v) be the second derivative of 43*v**4/12 - v**3/3 - v**2/2 + 2*v. Let z be 6/((-9)/(-3)) - 24/8. Calculate the remainder when q(z) is divided by 15.
14
Suppose -9*u + 17 = -280. Let z = u + 61. What is the remainder when z is divided by (-4 - -26) + 4/2?
22
Let i(o) = 3*o**2 + 2*o - 16. What is the remainder when 174 is divided by i(-3)?
4
Suppose -5*c = l - 6 - 3, 5*c - 5*l = 15. Suppose -v = 3*g - 24, -c*v + 2*g + 49 = -v. Calculate the remainder when 153 is divided by v.
36
Let k(b) = b + 2. Let n be k(1). Suppose -n*q + 216 = 9*q. What is the remainder when q is divided by 10?
8
Suppose g - 1725 = -6*t + 2*t, 4*g + 2151 = 5*t. What is the remainder when t is divided by 6?
5
What is the remainder when 120 is divided by 6/10*2*(-270)/(-9)?
12
Let g(j) = 5*j + 97. Calculate the remainder when g(-15) is divided by 8.
6
Let r = -250 - -463. Calculate the remainder when r is divided by 9.
6
Let k = -1675 - -1772. Calculate the remainder when 147 is divided by k.
50
Let v be (-1 + -1)/(2/(-3)). Suppose v*j - 8*j + 30 = 0. Suppose -80 = -4*y + 56. What is the remainder when y is divided by j?
4
Suppose -3*j + 5*j - 2*u - 90 = 0, -3*u + 111 = 3*j. What is the remainder when 95 is divided by j?
13
Suppose -r = 4*h + 9, r + 8 = -2*h - h. What is the remainder when (-3)/(6/(-104)) + 1 is divided by h + -58*(-1)/2?
25
Let i = 27 + -24. Suppose -2*j + 37 = -i*l + 6, -4*l - 28 = -2*j. What is the remainder when 56 is divided by j?
16
Let z(r) = -r**3 + 5*r**2 + 8*r - 29. Let l be z(5). Let x(o) = o**2 - 19. Calculate the remainder when x(l) is divided by 53.
49
What is the remainder when 131 is divided by -7*(0 - (-3 - 2))*-1?
26
Suppose 56 = b + 45. Calculate the remainder when 339 is divided by b.
9
Suppose -5*r + 4*p = -0*r - 55, -3*r + 31 = -2*p. Suppose 16 = -4*w + 4*y, y = -3*w + 3*y - r. Let u = 2 + 3. What is the remainder when u is divided by w?
0
Let a(x) = -x**3 - 7*x**2 - 2*x + 6. Let y be a(-6). What is the remainder when y/153 + (-1636)/(-34) is divided by 6 - -2 - (-1 - 1)?
8
Suppose 4*p - 89*u + 86*u = 1679, 0 = 2*p - u - 841. What is the remainder when p is divided by 39?
32
Let g = 117 - 82. Suppose -1 = -3*d + 5*t, -2*t - 8 = -5*d - 0*t. What is the remainder when 44*3/d - -1 is divided by g?
32
Suppose 9*j + 105 = 14*j. Let l(b) = b. Let h(y) = -y + 3. Let k(d) = -h(d) - 2*l(d). Calculate the remainder when j is divided by k(-11).
5
Let s(r) = -r**3 + 2*r**2 + r - 2. Let p be s(5). Let d = 76 + p. Calculate the remainder when 19 is divided by d.
3
Suppose 9 = 3*s - 3*b, -2*s - 5*b = -s + 3. Let f = -4 + 11. Suppose -3*r + r = -5*d + f, 0 = -3*r + 12. What is the remainder when d is divided by s?
1
Suppose k - 20 = 146. Calculate the remainder when k is divided by 21.
19
Let z = 59 + -107. Let d = 107 + z. Calculate the remainder when d is divided by 20.
19
What is the remainder when 379 is divided by 12/(-10 + 14) - -7?
9
Let g = -77 + 190. Calculate the remainder when g is divided by 39.
35
Let y = 1 - -4. Suppose 0 = 5*m - 3*f - 403, -y*f + 48 = m - 55. Suppose 2*b - 3*b = -28. Calculate the remainder when m is divided by b.
27
Calculate the remainder when 1/((-2)/66)*(-8138)/939 is divided by 10.
6
Let n = -63 - -81. Suppose -5*r + 47 = 4*z, -r = r + 2*z - n. What is the remainder when 63 is divided by r?
8
Let f(i) = i**2 + 5*i + 4. Let q be f(-6). Let d = 29 - q. Calculate the remainder when 73 is divided by d.
16
Let t(z) = -z**2 + 13*z + 2. Calculate the remainder when 128 is divided by t(0).
0
Let w be (-2)/(-5) - (-36)/(-90). Calculate the remainder when ((w + 2)*23)/2 is divided by 4.
3
Suppose 0 = -r - 3, 5*r - 24 + 34 = -h. Let g = 2 - 0. Suppose 3*s + 85 = g*v + 3*v, -2*v - 5*s = -34. Calculate the remainder when v is divided by h.
2
Let v(o) = o**2 + 42*o + 234. Calculate the remainder when 158 is divided by v(-36).
14
Let y = 11 - 2. Suppose -y*z - 74 = -11*z. Let c = 53 + -34. Calculate the remainder when z is divided by c.
18
Let v be ((-4)/(-16))/(15/(-24))*5. Let n = 43 - v. Calculate the remainder when 179 is divided by n.
44
Let i(x) = x**3 + 5*x**2 + x + 5. Suppose -12 = 2*g + g. What is the remainder when i(g) is divided by -5*(-72)/30 - 9?
2
Let h(j) = 45 + 3*j**2 - j**2 + 5*j - 40. Let l be h(-2). Suppose l*o + 5*g - 68 = 0, -4*g + 96 = 5*o - 0*o. What is the remainder when o is divided by 9?
7
Suppose 2184 = -36*y + 6108. What is the remainder when y is divided by 57?
52
Let c(j) = 2*j + 8. Let h(q) = -q - 4. Let n(b) = 3*c(b) + 5*h(b). Let d(u) = u**3 + u**2 + 5. Let l be d(0). What is the remainder when 33 is divided by n(l)?
6
Let m = -135 - -241. What is the remainder when m is divided by 19?
11
Let d = -61 + 77. Calculate the remainder when d is divided by 11.
5
Let b = 23 + -103. What is the remainder when -3 + 6*b/(-12) is divided by 11/1 - (-1 + -1)?
11
Let k = -4 - -6. Let b be 2 + -2*k/4. Let u(i) = 3*i**2 + 1. What is the remainder when 9 is divided by u(b)?
1
Let u = -8 - -32. Let q = -36 + 45. Let d(i) = i**3 - 10*i**2 + 10*i. Calculate the remainder when u is divided by d(q).
6
Suppose 13 = 5*t + 3*u - 3, 4*u - 10 = -t. What is the remainder when ((-1188)/8)/3*(-4)/t is divided by 29?
12
Suppose 0 = 4*d - 5*d - 2. Wha