. What is the remainder when 78 is divided by y?
18
Let p = -898 + 987. Calculate the remainder when 354 is divided by p.
87
Let v = -54 + 80. Let z(j) be the third derivative of j**6/120 + j**5/60 - j**4/6 + j**3/2 - 2*j**2. What is the remainder when v is divided by z(2)?
5
Let x(w) = 123*w + 39. What is the remainder when x(4) is divided by 106?
1
Suppose -5*z + 3*m = -804, 4*z = -10*m + 7*m + 654. What is the remainder when z is divided by 34?
26
Let x(y) = y**3 - y**2 - 3*y - 4. Let o(z) = z**3 + 4*z**2 + 5. Let f be o(-4). Let g = -63 + 84. What is the remainder when x(f) is divided by g?
18
Suppose -x + 5*i + 10 + 0 = 0, 0 = -2*x + 4*i + 44. What is the remainder when 208 is divided by x?
28
Suppose 54*i = 55*i - 3, 5*r + 5*i - 45 = 0. Let o(u) = 2*u**3 - 2*u**2 + 4*u - 2. What is the remainder when o(3) is divided by r?
4
Let i(l) = -l**3 + l**2 - 7. Let u be i(-3). Suppose -u - 10 = -3*q. Calculate the remainder when 24 is divided by q.
11
Suppose -12 = -4*c, -4*i + 513 = i - 4*c. What is the remainder when i is divided by 18?
15
Let h = 2 - -3. Suppose -h*b - 2*a + 1 = 0, 4*b = -2*a + 6*a + 12. Suppose 4*y - 3*n = 2, -5*y = -4*y - 5*n + 8. Calculate the remainder when y is divided by b.
0
Let u be 6/(-4)*1568/(-42). Suppose 3*j + 5*m = u, -4*j = 5*m - 45 - 38. Calculate the remainder when 214 is divided by j.
25
Let x(i) = i**3 - 3*i**2 - i + 52. Let g be x(0). Suppose g = 2*r + 4*o, -4*r - 2*o + 97 = -1. Calculate the remainder when 44 is divided by r.
20
Let f = 731 + -679. What is the remainder when f is divided by 4?
0
Let b(t) = -5*t + 4. Let c(u) = -1. Let d(f) = -b(f) - 5*c(f). Let j be d(-1). Let g = 14 + j. What is the remainder when 37 is divided by g?
7
Suppose -3*j + 0*j = -15. Suppose 3*o = j*o - 6. Suppose 0 = s - 3, -s - 20 = o*v - 4*v. What is the remainder when v is divided by 12?
11
Suppose 4*b - 65 = 39. What is the remainder when 206 is divided by b?
24
Let x = 432 + -339. Calculate the remainder when x is divided by 36.
21
Suppose -18*p + 52 = -14*p. Suppose u - 6 = -4. Suppose u*a - 2 - 6 = 0. What is the remainder when p is divided by a?
1
Suppose 23*g = s + 20*g - 175, 0 = -3*g + 12. Suppose -3*u + 137 = y, -2*u = y - 34 - 56. Calculate the remainder when s is divided by u.
46
Let p = 88 + -10. Suppose -3*z + 6*z = p. Let l = z + -18. What is the remainder when 13 is divided by l?
5
Let a(c) = -c**2 + 18*c + 26. Let o be a(20). Let j(q) = -q**3 - 15*q**2 - 14*q + 25. Calculate the remainder when 97 is divided by j(o).
22
Suppose -60 = -2*n - 2*m, 2*n - 4*m - 37 - 11 = 0. Suppose -3*q - 2*z + 242 = -4*z, -338 = -4*q - 5*z. Calculate the remainder when q is divided by n.
26
Let q(m) = -8*m**3 + 58*m**2 - 14*m + 7. Calculate the remainder when 39 is divided by q(7).
4
Let i be 1 - (4 - 0/2). Let a(l) = -6*l + 4. What is the remainder when 41 is divided by a(i)?
19
Let q(w) be the third derivative of w**5/60 + w**4/8 + w**3/6 + 5*w**2. Let l be q(-5). Let f = l + 0. What is the remainder when 53 is divided by f?
9
Let c = 132 - 93. Calculate the remainder when c is divided by 11.
6
Suppose 33*q - 45 - 5565 = 0. Calculate the remainder when q is divided by 64.
42
Suppose 3 = -0*l - l. Suppose -8*p - 68 = -3*h - 3*p, -4*h + 4*p + 80 = 0. Calculate the remainder when (-30)/((-1)/l*-3) is divided by h.
14
Let q = -1153 + 1258. Calculate the remainder when q is divided by 40.
25
Let t = 14 - 11. Calculate the remainder when 12 - (3 - (t - -2)) is divided by 3/(38/16 - 2).
6
Let d = -521 + 745. Calculate the remainder when d is divided by 76.
72
Suppose -2*c = -2*i - 38, -40 + 36 = -i. Let s(l) = 3*l - 7. What is the remainder when c is divided by s(5)?
7
Let s(q) = q**2 + 12*q - 16. Let l = 5 + 1. Calculate the remainder when -30*(-1)/(l/9) is divided by s(-14).
9
Let c(h) = -2*h - 1. Let r = -35 - -34. Calculate the remainder when (-6 + 12)*(32/(-6))/r is divided by c(-5).
5
Let r(o) = -7*o + 79. Let w(s) = 4*s - 40. Let l(h) = 3*r(h) + 5*w(h). What is the remainder when l(0) is divided by -1*(-1)/13 + (-1680)/(-130)?
11
Let z = -630 - -680. Calculate the remainder when z is divided by 15.
5
Let d(n) = 4*n**2 - n - 4. Let u = 4320 - 4286. What is the remainder when d(-5) is divided by u?
33
Let u(q) = q**2 - 2*q - 40. What is the remainder when u(9) is divided by 13?
10
Let f(r) = r**2 + 15. Let z be ((-45)/(-10) - 4)*0. Calculate the remainder when 41 is divided by f(z).
11
Let c = 31 + -12. Suppose 0 = -2*f + c + 37. What is the remainder when (-1)/((-1 - 2)/243) is divided by f?
25
Let g(h) = h**3 - 11*h**2 - 12*h + 10. Let w be g(12). Suppose 0 = -5*b + w*b - 135. Suppose -7 = 4*s - b. What is the remainder when s is divided by 2?
1
Let v(q) = q**3 + q - 2. Let g be v(0). What is the remainder when 37 is divided by (5/2 + g)/(6/264)?
15
Let v(i) = i**3 - 20*i**2 + 15. Let f(l) = -l**2 - 9*l + 6. Let k be f(-7). Calculate the remainder when 27 is divided by v(k).
12
Let k = -13 - -16. Calculate the remainder when (k/(-3))/(6/(-198)) is divided by 12.
9
Let z(v) = -v**3 - 4*v**2 + v - 2. What is the remainder when z(-5) is divided by 3?
0
Suppose 0 = w + o - 4*o - 288, 3*w = -2*o + 908. Suppose -10*l = -6*l - w. What is the remainder when l is divided by 11?
9
Let a be 0/(66/48 - (-6)/(-16)). Suppose 12 = 4*n, a*t + 90 = 3*t - 5*n. Calculate the remainder when t is divided by 25.
10
Let s(a) = 3*a - 9. Let d be s(4). Suppose d*m - 19 + 10 = 0. What is the remainder when 6 is divided by m?
0
Let m be 1309/99 - 4/18. Let x = m + 5. Let j = 1 + x. What is the remainder when 73 is divided by j?
16
Let h(n) = -7*n + 34. Suppose 4*l = 0, -2*l + 60 = 2*f + 10. What is the remainder when h(-2) is divided by f?
23
Suppose 20*g = -27*g + 7661. What is the remainder when g is divided by 50?
13
Let o = -21 - -29. Let k = 19 - o. What is the remainder when 74 is divided by k?
8
Suppose -3*i + 2*i - 3*k = -20, 4*k - 60 = -3*i. What is the remainder when 134 is divided by i?
14
Suppose -35 + 63 = g. What is the remainder when g is divided by 16?
12
Let n = 25 - 9. Suppose 64 = 2*i - n. Suppose -4*d + 56 = -0*d. What is the remainder when i is divided by d?
12
Suppose 3*y = 4*y - 12. Suppose 28 = 2*g + 5*g. What is the remainder when y is divided by g?
0
Let f = -9 - -7. Let h(d) = -3*d**3 - d**2 + d + 1. Suppose -5*x = -4*x - 54. Calculate the remainder when x is divided by h(f).
16
Let l(v) = -v**3 - 11*v**2 + v + 13. Let w be l(-11). Let c(h) = 16*h + 3. Calculate the remainder when c(w) is divided by 12.
11
Suppose 3*r = 4 + 32. Let g = -22 - -18. Calculate the remainder when (6/g)/(30/(-700)) is divided by r.
11
Calculate the remainder when -9*33/4*(-8)/9 is divided by 24.
18
Let v(m) = m - 7 - 3 - 14. Let l be v(13). Let j = l - -30. Calculate the remainder when 75 is divided by j.
18
Suppose -4*s - 43 = -3*x, 3*s - 8*s = -25. Calculate the remainder when 56 is divided by x.
14
Let v be 35/15 + 2/(-6). Suppose -3*a + 117 = 2*d + d, 0 = v*d + 3*a - 80. Calculate the remainder when 72 is divided by d.
35
Let q(r) = -16*r + 6. Suppose 153*l + 249 + 323 = 164*l. What is the remainder when q(-6) is divided by l?
50
Suppose 4*k - 128 = -4*h, 0*h - h - 5*k = -36. What is the remainder when 246 is divided by h?
29
Suppose 6*u - 7*u = -4*l - 16, -5*u - 4*l + 176 = 0. Calculate the remainder when u is divided by 28.
4
Let c = 1051 - 884. Calculate the remainder when c is divided by 85.
82
Let z(q) = 4*q - 43. Let m = 71 + -48. What is the remainder when z(m) is divided by 15?
4
Let y(w) = 10*w - 45. Calculate the remainder when 68 is divided by y(8).
33
Suppose 5*b - 78 = 17. Let r = b + -5. What is the remainder when 97 is divided by r?
13
Suppose 2*u + 5*x - 13 = 0, 31*u - 53 = 29*u + 3*x. Calculate the remainder when 245 is divided by u.
17
Let v = 21 - 7. Calculate the remainder when 21/(-24) + 3/72*-3 + 28 is divided by v.
13
Calculate the remainder when 1/(-4) - (-13)/(416/264) is divided by 3.
2
Suppose 124 = 13*w - 162. Calculate the remainder when 152 is divided by w.
20
Suppose -j + 3*j - 10 = 0. Suppose -2*s + 0*s + 4 = 0. Suppose s*x - 7 - 7 = 0. Calculate the remainder when x is divided by j.
2
Let j = -940 + 997. Calculate the remainder when 220 is divided by j.
49
Calculate the remainder when 213 is divided by (4/12