 -18*d + 14*d + 288 = -3*b, 292 = 4*d - 4*b. Calculate the remainder when d is divided by 36.
33
Let d(z) = -z**3 - 4*z**2 - z - 6. Let b be d(-4). Let a(g) = 5*g**2 + 2*g - 1. What is the remainder when 89 is divided by a(b)?
14
Let z = 105 + -116. Let j = z - -67. Calculate the remainder when 163 is divided by j.
51
Let v = -2 - -7. Calculate the remainder when v is divided by 1*-3*(-52)/52.
2
Let n(p) = p**3 + p**2 - p - 1. Let j(s) = -4*s**3 - 2*s**2 + 16*s + 10. Let k(l) = -j(l) - 3*n(l). What is the remainder when k(5) is divided by 6?
4
Let r(v) = 3*v**2 - 5*v. Let d be r(3). Let k = d - -9. Calculate the remainder when 41 is divided by k.
20
Let s(u) = -15*u + 114. Calculate the remainder when 105 is divided by s(7).
6
Let j(r) = -18*r. Let a be j(-2). Suppose -a = n + n. Let o = 20 - n. What is the remainder when o is divided by 10?
8
Let v(i) = 220*i - 189. Calculate the remainder when 710 is divided by v(1).
28
Suppose 15 = 4*p - 9. Suppose -5*l = -p*j + j + 90, 5 = -5*l. What is the remainder when j is divided by 6 + (2/6)/(4/48)?
7
Suppose -4*b = -3*x - 231, 4*b - 4*x = 3*b + 74. Calculate the remainder when b is divided by 17.
3
Let g(k) = k**3 + 5*k**2 + k + 3. Let r = -5 - -1. Let a(u) = -11*u - 2. What is the remainder when a(r) is divided by g(-4)?
12
Suppose -36 = -5*p - 1. Suppose -400 = 86*a - 106*a. What is the remainder when a is divided by p?
6
Suppose 3*c - x = 7747, -x = c - 1939 - 642. What is the remainder when c is divided by 152?
150
Calculate the remainder when 78 is divided by (32/(-2))/(4/(-8)).
14
Suppose -216 = -2*t + 4*g, 3*t + 4*g + 510 = 8*t. Suppose 2*q = q + 70. Let i = t - q. What is the remainder when 110 is divided by i?
26
Suppose -4*l + 5*v + 68 = 0, 3*l + 5*v + 85 = 8*l. Suppose -l = t + g + 3*g, 0 = -3*t + 3*g + 24. What is the remainder when (4/8)/(t/228) is divided by 10?
8
What is the remainder when (-12)/9*10/8*-42 is divided by 25?
20
Let m be 9*1/3 - -4. Calculate the remainder when 6480/168 - 4/m is divided by 8.
6
Let t = -514 + 537. What is the remainder when 133 is divided by t?
18
Suppose 2*k - p = 4*k - 772, -p = -2. What is the remainder when (-1)/2 + k/22 is divided by 9?
8
Suppose -24*t = -1019 - 37. What is the remainder when 148 is divided by t?
16
Let m be 831/24 + (-3)/(-8). Suppose 0 = 39*z - m*z - 56. What is the remainder when 82 is divided by z?
12
Let b be (1 + 14)/(11 - 10). Let x(z) = 4*z - 36. Calculate the remainder when 46 is divided by x(b).
22
Suppose 0 = 29*n - 24*n - 80. Suppose -4*q + a = -2*a - 307, 4*q + 3*a - 277 = 0. Let h = q - 28. Calculate the remainder when h is divided by n.
13
Calculate the remainder when 391/2*(79 - 77) is divided by 103.
82
Let n(b) = b**2 - 9*b + 2. Let y be n(9). Suppose q + y*h + 9 = 0, 4*q = q + 4*h + 3. What is the remainder when 23 is divided by q*((-22)/6 + 1)?
7
Let c = -28 + 30. Suppose m = -4*l + 7, l - 11 = -m - c*l. What is the remainder when m is divided by 7?
2
Suppose 4*x = d + 5 - 41, -3*d = 3*x - 33. Let q = 88 + -48. Calculate the remainder when q is divided by d.
8
Let q(g) = g**2 - 11*g - 42. Calculate the remainder when q(-4) is divided by 2.
0
Let l be 6*-1*2/4. Let d = -1 - l. Suppose -j - d*j = -15. Calculate the remainder when j is divided by 2.
1
Let c(g) be the third derivative of -g**5/60 - 5*g**4/8 - 17*g**3/6 - 24*g**2. Calculate the remainder when 56 is divided by c(-12).
18
Suppose -5*r = n - 7, 3*n = r + 2*r - 33. Let l = n + 4. What is the remainder when ((-6)/l)/((-6)/(-208)) is divided by 11?
8
Let h(v) = -27*v + 1. Let u(p) = 11*p - 49. Let z be u(8). Calculate the remainder when h(-2) is divided by 5/(-10) + z/2.
17
Let s(n) = -n**2 - n**2 + 12 + n**2 + 8*n + 3*n**2. What is the remainder when 9 is divided by s(-3)?
3
Let x = 3 - -15. Suppose -26 + x = -s. Suppose -74 = -5*w + 71. What is the remainder when w is divided by s?
5
Let r = 591 + -564. Calculate the remainder when 37 is divided by r.
10
Let s = -57 + 67. Calculate the remainder when (-2)/4 + 77/2 is divided by s.
8
Let d(p) = -p**3 + 8*p**2 + p - 12. What is the remainder when d(5) is divided by 19?
11
Let w = 203 + -148. What is the remainder when 131 is divided by w?
21
Let i(m) = -17*m - 70. Calculate the remainder when i(-15) is divided by 88.
9
Suppose 5*n = 2*a + 2*a + 39, -12 = -2*n - 2*a. Calculate the remainder when (-30)/(-45)*(39 + 0) is divided by n.
5
What is the remainder when (-4)/3 - (5 - 733/3) is divided by 60?
58
Let z(u) = -u**3 - 3*u**2 - 6*u - 10. Let t be z(-3). Suppose -5*q = -t*q + 39. What is the remainder when 63 is divided by q?
11
Suppose 5*b - 39 = 2*b. Let x(i) = -8*i**2 + 3*i - 2. Let l be x(-3). Let d = l + 132. What is the remainder when d is divided by b?
10
Let d(x) = -14*x - 38. Calculate the remainder when 144 is divided by d(-6).
6
Let c(o) = -3*o - 11. Let g be c(-14). Let p = g + -23. What is the remainder when 23 is divided by p?
7
Let o(d) = -d + 12. Let u be o(7). Suppose 4*a = u*z + 75, -21 = -4*a + 3*z + 48. Calculate the remainder when (-1 + (-2)/(-4))/(4/(-224)) is divided by a.
13
Let j(y) = -y + 28. Suppose 2*g + 293 = 5*a, 0*a - 134 = -2*a + 5*g. What is the remainder when a is divided by j(16)?
9
Let v(f) = -f**3 + 8*f**2 - 5*f + 6. Suppose -c + 79 = n - 59, n - 138 = -2*c. What is the remainder when n is divided by v(7)?
18
Let s = 10821 + -10727. Suppose 2*u + 3*i + 2*i - 67 = 0, -57 = -2*u - 3*i. What is the remainder when s is divided by u?
10
Let k(s) = s**2 - 19*s + 88. Calculate the remainder when 29 is divided by k(15).
1
Let b(s) = s**2 - 41*s + 476. What is the remainder when b(24) is divided by 62?
6
Let x(c) = c**2 - 3*c - 2. Let p(n) = -n**3 + 11*n**2 + 14*n - 8. Let y be p(12). Let o = y - 7. What is the remainder when x(-4) is divided by o?
8
Suppose x = -x + 24. Let h(v) = v**3 - 10*v**2 - 2*v + 10. Let i be h(10). Let y = 31 + i. What is the remainder when y is divided by x?
9
Let b = 781 - 759. Calculate the remainder when b is divided by 8.
6
Suppose -8*q = -33*q + 8775. What is the remainder when q is divided by 55?
21
Suppose l - 48 = -5*j, -7*l = -10*l - 5*j + 114. Calculate the remainder when 124 is divided by l.
25
Let c be (10/25)/((-1)/5). Let z be 3 + (-2 - c) + -3. Suppose z - 30 = -5*w. What is the remainder when 11 is divided by w?
5
Let v(o) = -o**3 - o**2 + 26. Let d be (-9)/(-6)*40/12. Suppose -4*p + d = 3*c - 0, -55 = -5*c + 5*p. Calculate the remainder when v(0) is divided by c.
5
Suppose 4*y + y = 50. Let o(x) = 5*x**2 - x + 17. Calculate the remainder when o(0) is divided by y.
7
Suppose w + 3 = -5*m + 48, 0 = 2*w. Let z = 11 - m. Suppose -z*r + 2 = -50. Calculate the remainder when 102 is divided by r.
24
Let y(k) = k**3 + 11*k**2 + 9*k + 1. Suppose -13 - 12 = -5*o. Calculate the remainder when y(-10) is divided by o.
1
Suppose 0 = 3*k + 262 - 910. Suppose -k = 7*x - 657. What is the remainder when x is divided by ((-4)/3)/((-2)/24)?
15
Let s = 57 + -38. Suppose -80 = -12*l + 1012. Calculate the remainder when l is divided by s.
15
Let p(m) = 0 - 4458*m - 7 + 4455*m + m**2. Suppose 2*d = -0*c - c + 14, -4*c = -5*d + 35. What is the remainder when p(d) is divided by 11?
10
Suppose -3*m + 86 = 4*q, 3*q + 2*q + m = 102. Let v = 14 - q. Let h = v + 16. Calculate the remainder when h is divided by 6.
4
Let q(t) = -4*t**2 + 90*t. Calculate the remainder when 480 is divided by q(22).
40
Let a(r) be the first derivative of 31*r**3/3 + 5*r**2/2 + 2*r + 15. Calculate the remainder when a(-1) is divided by 15.
13
Suppose q - 4 - 25 = 0. Calculate the remainder when q is divided by 9 + (-3)/(6/(-14)).
13
Suppose -5*z - 46 = -2*a, 2*a + 3*z - 46 = 6*z. Calculate the remainder when 66 is divided by a.
20
Suppose 3*l - l + 62 = -3*y, 0 = -2*l - 2*y - 64. Let a = 39 + l. What is the remainder when 19 is divided by a?
4
Let i(o) = 3*o**2 + 20*o + 31. What is the remainder when i(-7) is divided by 10?
8
Let c = 873 + -847. Calculate the remainder when c is divided by (3 - 1)/((-4)/(-14)).
5
Let j(h) be the third derivative of h**5/30 + h**4/3 + 13*h**3/6 - 39*h**2. Calculate the remainder when j(-7) is divided by 14.
13
Suppose 0 = -54*y + 61*y - 308. Calculate the remainder when 177 is divided by y.
1
Let b be 4 - (-3 - -5)*-1. Suppose -3*u - b*z + 4*z + 18 = 