5. Suppose -6*r - 4428 = -f*r. What is the remainder when r is divided by 33?
30
Let l = -34 + 39. Let t(m) = -m**2 + 4*m - 4. Let a(p) = 2*p**2 - 8*p + 7. Let r(z) = l*t(z) + 3*a(z). What is the remainder when 33 is divided by r(-2)?
7
Suppose 4*q = 3*y + 11974, 0 = -8*q + 7*q + 5*y + 3002. Calculate the remainder when q is divided by 41.
40
Suppose -93*z + 647339 = 21*z + 200801. Calculate the remainder when z is divided by 8.
5
Let x(c) = -8*c**3 + 4*c**2 + 6*c + 2. Let o be x(-1). Suppose o*j - 7*j - 52 = -4*i, 2*j + 8 = 0. What is the remainder when 82 is divided by i?
12
Let h(b) = b - 3. Let l(m) = 20*m + 3. Let k(t) = h(t) - l(t). Let a = 96 + -35. Calculate the remainder when a is divided by k(-1).
9
Suppose 0 = -f + 8 - 7. Let l(j) = 4*j + 3. Let o(q) = -5*q**3 - q**2 - 5*q + 1. What is the remainder when o(-2) is divided by l(f)?
5
Let p = 5 + 1. Suppose 0 = 217*o - 195*o - 1807 + 509. Calculate the remainder when o is divided by p.
5
Suppose -88*d + 5441 = -13127. What is the remainder when 826 is divided by d?
193
Let k = 114 + -5. Let o = k + -104. What is the remainder when o is divided by 4?
1
Let i(x) = 21*x - 1. Let t be i(1). Suppose -t = 4*u + 2*a, u - 5*a = 3*u + 2. Let h(r) = r**2 - 6. Calculate the remainder when 56 is divided by h(u).
26
Suppose 0 = -2*n + b + 1179 + 445, 2*b - 4042 = -5*n. What is the remainder when n is divided by 51?
45
Let m = 97 + -99. Calculate the remainder when 15/(-10) + (-65)/m is divided by 30.
1
Suppose -4*r - 330 - 194 = 0. Let n = -100 - r. Calculate the remainder when n is divided by 1*2 - (2 + -4).
3
Let k(a) = -1396*a + 11193. Calculate the remainder when k(8) is divided by (-1)/(0 - 1) - -9.
5
Let p(y) be the first derivative of -y**2/2 - 7*y - 99. What is the remainder when p(-16) is divided by 4?
1
Let y(u) = -5*u - u + 7*u + 8 + 2. What is the remainder when 81 is divided by y(12)?
15
Calculate the remainder when 3 + 411 + 3 + 0 is divided by ((-6)/14 + (-1170)/3150)*-15.
9
Calculate the remainder when 71 is divided by 2067/53 - (14*-1)/(13 + -15).
7
Suppose -2*b + 4 = 5*o - 307, -5*b + 3*o = -731. Calculate the remainder when 511 is divided by b.
67
What is the remainder when 382 is divided by (-2 - 4)*1539/(-54)?
40
Let o(u) = -2*u**3 + 101*u**2 - 235*u - 141. Calculate the remainder when 1336 is divided by o(48).
49
Let q(v) = -29*v + 7*v + 2*v + 2*v**2 - 9. What is the remainder when 61 is divided by q(11)?
9
Calculate the remainder when 235 is divided by 4*48 + 1/(-2)*(-173 + 159).
36
Let q = 44 + -30. Let v(j) = 2*j**3 + 3*j + 13. Let n be v(-3). Let f = n + 133. What is the remainder when f is divided by q?
13
What is the remainder when 209 is divided by (6/(-12))/((-2)/6) - 21/(-6)?
4
Calculate the remainder when 39 is divided by 6 - ((-35)/25*-5 - 8).
4
Let w(p) = 2*p - 8. Suppose 257*h + 4*s + 672 = 277*h, -2*s = h - 5. What is the remainder when h is divided by w(6)?
3
Calculate the remainder when 672 is divided by (-1100)/(-7) - 9*(-8)/(-504).
44
Suppose 2*a = -3 - 5. Let c = -2 - a. Suppose -2*k + x + 34 = 0, k - 4*x = 57 - 33. What is the remainder when k is divided by c?
0
Suppose -44 = -i + 28. Suppose -375 = -3*c + 3*j + 246, -4*c + 2*j + 818 = 0. Let s = -177 + c. What is the remainder when i is divided by s?
22
Let m = 356 - 351. Suppose 4*z - 423 = -3*i, m*i + 91 = z - 9. What is the remainder when z is divided by 53?
52
Let j = 31 + -67. Let a = -3 - j. Suppose 0 = 3*v - 2*w - 103, 3*w - w + a = v. Calculate the remainder when 174 is divided by v.
34
Let f = -152 + 156. Suppose -3*n = -3*p + 123, -7*p + 2*n + 125 = -f*p. Calculate the remainder when 213 is divided by p.
41
Suppose -17*z + 94 = -42. Let r be (-34)/(-8) - (-3)/(-12). Calculate the remainder when (-51)/(-6) - 2/r is divided by z.
0
Suppose 9*z - 2060 + 107 = 0. Let n = 232 - z. Suppose 0*q - 2*q + 6 = 3*j, 0 = -3*j + 3*q + 6. Calculate the remainder when n is divided by j.
1
Let l = 25960 - 25911. Calculate the remainder when 1514 is divided by l.
44
Let w(p) = -21*p**3 + p**2 - p - 2. Let q(o) = -o**3 - o**2 - o + 1. Let y(r) = q(r) + w(r). Calculate the remainder when y(-1) is divided by 70/(-140)*2*-9.
5
Let y be (-837)/(-18)*8/4. Suppose 0 = -l - 89 + y. What is the remainder when 10 is divided by l?
2
Suppose -33*t + 35*t - 808 = -4*k, -4*t = 5*k - 1016. Calculate the remainder when k is divided by 53.
41
Let a = 25 - 22. Suppose -10*g + 15*g + 21 = a*d, 4*d + g - 51 = 0. What is the remainder when 43 is divided by d?
7
Let b(p) = -p**3 + 7*p**2 + 11*p - 9. Let d(f) = -3752*f**2 + 22519*f - 18. What is the remainder when d(6) is divided by b(8)?
9
Let t = -1 - -23. Suppose 39 = t*u - 9*u. Let i = 11 + -1. What is the remainder when i is divided by u?
1
Let i be (-2 - 1)*-1*(1 + 0). Let g be (-4 - -2 - i)*(-18)/15. What is the remainder when 3 is divided by 40/(-30)*g/(-8)?
0
Suppose -3*z + 6*z + 5*m = 391, 2*z = -4*m + 260. Calculate the remainder when (z/(-10))/(-6 - 1422/(-240)) is divided by 61.
54
Let f(y) = 2*y**3 - 4*y**2 - 14*y + 77. What is the remainder when f(6) is divided by 114?
53
Let y = -2 - -2. Suppose y*p - 7*p = 0. Suppose p = -20*j + 15*j + 90. Calculate the remainder when 32 is divided by j.
14
Let z be (157/5 - 0) + (-50)/125. Suppose q - 16 = -4*c, z = 3*q - c - 4*c. Suppose -q*t = -14*t + 28. What is the remainder when 137 is divided by t?
11
Let h = 12112 - 9769. Calculate the remainder when h is divided by 168.
159
Let x(a) be the first derivative of -a**3/3 + 10*a**2 + 8. Let v be x(17). Suppose 0 = -8*c + v + 61. What is the remainder when 25 is divided by c?
11
Let f be 40*((-48)/20 + 2/5). Let z = f + 86. What is the remainder when (33/(-9))/(3/(-18)) is divided by z?
4
Let u(k) = -3*k**2 + 45*k + 684. Suppose -4*j + 75 = -j. Calculate the remainder when u(-9) is divided by j.
11
Suppose 357*o - 171*o - 2320983 = 137*o. Calculate the remainder when o is divided by 67.
65
Let t(p) = -4*p + 202. Let d be t(50). Suppose 5*s - 149 = 3*x, 72 = 2*s + 3*x + d*x. Calculate the remainder when s is divided by 7.
3
Let d be 22/8*(-16)/2. Let n(t) = 15*t + 59. Let w(g) = 10*g + 54. Let y(c) = -3*n(c) + 4*w(c). What is the remainder when y(d) is divided by 50?
49
Let q(o) = 518*o + 446. What is the remainder when q(4) is divided by 90?
88
Suppose 37*z = 72*z - 29*z - 282. What is the remainder when 232 is divided by z?
44
Let q = -7 - 44. Let c = 64 + q. What is the remainder when -1*1*-61*1 is divided by c?
9
Suppose 9*m - 4*d = 6*m + 2, 0 = -5*m + 2*d + 8. Suppose 4*w = -m*r + 120, -4*r - w + 0*w = -233. Calculate the remainder when r is divided by 33.
25
Let c(j) = -j**3 + 8*j**2 + 11*j - 1. Let v be -2*(-3 + (-2 - -9) - -2). What is the remainder when (52/(-12))/(2/v) is divided by c(9)?
9
Calculate the remainder when 594 is divided by (4/2)/((-19864)/1105 - -18).
84
Suppose j + 2 = 0, 0*j - 5*j - 270 = -5*u. Suppose u = 19*z - 17*z. Suppose -r - 68 = -5*c, 2*r - 20 - 12 = -2*c. What is the remainder when z is divided by c?
12
Calculate the remainder when -9 + (-43275)/(-12) - (-1)/(-4) is divided by 25.
22
Suppose 70 = 46*i - 32*i. Suppose 5*r = i*b - 42 - 53, -3*b + 62 = -4*r. Calculate the remainder when 265 is divided by b.
13
Suppose -15 = -6*a + a. Let g(x) = 2*x + 47*x**3 - 37*x**a + x**2 - 4*x + 1. Calculate the remainder when 19 is divided by g(1).
9
Let y be 286 + -7*(-6)/21. Let p = y + -272. What is the remainder when p is divided by 7?
2
Suppose 0 = 2*h - 3*n - 21, -3*h + n + 3*n + 33 = 0. Let g(y) = -11*y**2 - 120*y - 98. What is the remainder when h is divided by g(-10)?
1
Let b(o) = -84*o**3 + o**2 - 17*o - 16. Calculate the remainder when 5502 is divided by b(-1).
84
Let r(c) = -c**3 - 5*c**2 + 3*c - 12. Let a = -266 + 260. What is the remainder when 49 is divided by r(a)?
1
Suppose -5*t = 0, -5*t = -260*r + 258*r + 158. Suppose -5*b + 7*b - 60 = 0. What is the remainder when r is divided by b?
19
Suppose 2*u + 3*i = 3*u - 341, 0 = -2*u - 2*i + 642. Suppose -5*l - 330 + 376 = 3*z, -5*l + 64 = -3*z. What is the remainder when u is divided by l?
7
Let c = -15653 + 15733. Calculate the remainder when c is divided by 59.
21
Let q(i) = -i**3 + 7*i**2 + 6*i + 20. Suppose -m + 8 = 2*x, -3*m + 4*x = -14 - 10. Calculate the remainder when 28 is divided by q(m).