Let t(i) = -i**3 - i**2 - 2*i - 2. Let p be t(-2). Suppose p = d - 7. Calculate the remainder when 123 is divided by (d/(-39))/((-1)/93).
30
Let x(r) be the third derivative of r**5/60 + r**4/8 - r**3/3 + 2*r**2. What is the remainder when 25 is divided by x(3)?
9
Let m = 53 - 53. Calculate the remainder when 42 is divided by ((m + 1)/1)/(42/210).
2
Let x(z) = z**3 - 12*z**2 + 14*z - 16. What is the remainder when 61 is divided by x(11)?
10
What is the remainder when (-9)/(360/(-16)) - 6736/(-10) is divided by 25?
24
Let n(b) = 6*b. Let k be n(1). Let m(p) = p**2 + p - 3. What is the remainder when m(k) is divided by (45/(-6))/((-9)/12)?
9
Suppose 2*j - 78 = 48. Suppose 0 = 2*s - 3 - j. Suppose -4*u + 64 = -4. What is the remainder when s is divided by u?
16
Calculate the remainder when 389 is divided by 0 + (10659/825 - (-4)/50).
12
Suppose 2*w - 15 = 3*w. Let p(j) = -j**3 - 16*j**2 - 18*j - 22. What is the remainder when p(w) is divided by 12?
11
Let c(z) = -30*z + 598. Calculate the remainder when c(13) is divided by 10.
8
Let a be 14/(-28) - (-2)/4. Suppose -6 = 3*r, -6 = -4*y - 3*r - a. Suppose 3*h - h + 3*m - 32 = 0, y*h - 48 = m. What is the remainder when h is divided by 9?
7
Suppose 4*i = -k + 168, -5*k = -i + 34 + 8. Calculate the remainder when 43 is divided by 45/2 - (-21)/i.
20
Let q(c) = -3*c + 43. What is the remainder when 147 is divided by q(1)?
27
Let j(w) = 3*w**2 + 15*w + 36. What is the remainder when (-6)/((-18)/(-22) + -1) is divided by j(-3)?
15
Suppose -5*k + 15 = 0, -3*n = -2*k + 1 - 127. Suppose -3*q + 4*p = -44, -387 + 407 = q - 4*p. Calculate the remainder when n is divided by q.
8
Suppose -24 = -4*l + l. Let q be (3 + -6)/((-3)/l). What is the remainder when 13 is divided by 1/(17/q - 2)?
5
Let s(k) = k**2 + 7*k + 11. Let h be s(-3). Calculate the remainder when 13 is divided by (-1)/(6/(-4) - h).
1
Let o(h) = 2*h + 32. Let b be o(-14). Suppose b*m = -5*j + 97, 5*m = 5*j + 115 - 5. What is the remainder when 44 is divided by m?
21
Let b(c) be the third derivative of c**4/3 - 47*c**3/6 + 7*c**2. Calculate the remainder when b(16) is divided by 17.
13
Let l be -16 - (-2)/4*-2. Let q = -13 - l. Suppose -256 = -q*y - 76. What is the remainder when y is divided by 12?
9
Let i(j) = 18*j + 3. Let t(k) = 180*k + 30. Let f(w) = -21*i(w) + 2*t(w). Calculate the remainder when f(-3) is divided by 234/(-27)*(-3)/2.
12
Let h be (147/63)/((-2)/(-102)). Calculate the remainder when (4/5)/(2/(-5)) + h is divided by 20.
17
Suppose -3*a = -4*q + 92, -4*q + 92 = 4*a - 0*a. Calculate the remainder when 360 is divided by q.
15
Let p = -23 - -36. Suppose 0 = -3*k - k. Suppose k = 2*d + 3*v - 111, 2*d + 3*d - 267 = -4*v. What is the remainder when d is divided by p?
12
Suppose -3*o + 16 = -14. What is the remainder when o is divided by (-2)/(-8) + 13/(-364)*-161?
4
Suppose 5*q = -x - 4*x + 40, 3*q - 9 = 0. Calculate the remainder when -1 - (-1 + (-555)/x) is divided by 38.
35
Let g be (0 - -2) + 2 + 44. Suppose 4*p - 200 + g = -4*a, 124 = 4*p - 3*a. Suppose 30*w = p*w - 12. What is the remainder when 3 is divided by w?
0
Suppose t + 7*i = 3*i + 15, 2*t + 2*i = 30. What is the remainder when 162 is divided by t?
12
Let w = -1383 + 1493. What is the remainder when w is divided by 5?
0
Suppose 11*s = 24*s - 299. Calculate the remainder when 71 is divided by s.
2
Suppose 0 = 2*a, -12 = 4*x - 3*a - 96. Suppose x = 3*q + 3*k, 3*k + 60 - 17 = 5*q. What is the remainder when 31 is divided by q?
7
Let u(s) = 34*s**2 + 6*s - 30. Calculate the remainder when u(4) is divided by 54.
52
Suppose 10*q = -5*q + 75. Suppose -153 = -4*l + 3*z, l + q*z - 19 = 25. Calculate the remainder when 75 is divided by l.
36
Let h(r) = -4*r**2 + 3 - 5*r**2 + r**3 + 3*r**2 + 3*r**2 - 2*r. Suppose 2*g = 39 + 23. What is the remainder when g is divided by h(4)?
9
Let v be -3*((-82)/3 - -1). Let n be 3/(-4) - 6/(-8). Suppose -5*i - v = -4*k, -3*k + 36 = -n*k + 4*i. Calculate the remainder when 47 is divided by k.
15
Let k(r) be the second derivative of 5*r**3/3 + 3*r**2/2 - 12*r. What is the remainder when k(1) is divided by 10?
3
Let j = 0 + 13. Let u(i) = -i - 2. Let p be u(14). Let c = 20 - p. Calculate the remainder when c is divided by j.
10
Suppose 3*j - i - 338 = 0, 3*j + i + 0*i = 328. What is the remainder when j is divided by 41?
29
Suppose 4*a - 12*a = -120. Calculate the remainder when 44 is divided by a.
14
Let f(p) = 7 + 2*p + 3 - 8. Let g be f(-8). Let z = g + 53. Calculate the remainder when z is divided by 10.
9
Suppose -3*r + 2*r = -5*j + 106, -4*j = -4*r - 72. Suppose k = -5*q + 755, 0*q + k + 309 = 2*q. Let g = q + -88. What is the remainder when g is divided by j?
20
Suppose -584 = -4*n + 2*m + 2*m, -694 = -5*n - 4*m. Calculate the remainder when n is divided by 18.
16
Calculate the remainder when 122 is divided by ((-15)/6)/(-1)*(-344)/(-20).
36
Calculate the remainder when (-687)/(-33) + (-22)/(-121) is divided by 9.
3
Let s(f) = 12*f. Let p be s(3). Let y = 73 - p. What is the remainder when 108 is divided by y?
34
Let c(g) = g**2 - 31*g + 6. Calculate the remainder when 20 is divided by c(0).
2
Let j(x) = x**2 + 29*x - 36. Calculate the remainder when 95 is divided by j(3).
35
Let q = 71 + -44. Calculate the remainder when q is divided by 1 + 15 + -2*(-2)/(-4).
12
Suppose u - 4*f + 19 = -2*f, -34 = 2*u - 2*f. Let y = u + 19. Calculate the remainder when 17 is divided by y.
1
Let a(d) = 79*d**2 - 26*d - 25. Calculate the remainder when a(-1) is divided by 17.
12
Suppose -63 + 1567 = 8*r. What is the remainder when r is divided by 25?
13
Let v = 23 - 12. Let z be (-4653)/(-22) - 1/(-2). Suppose -4*a + z = 2*g, 7*g + 152 = 3*a + 5*g. What is the remainder when a is divided by v?
8
Let r = -5 + 28. Let x be -10*(-8 - 0 - -4). Let t = -34 + x. What is the remainder when r is divided by t?
5
Let l(h) = 9*h + 15*h**2 + 2*h**3 - 18 + 3*h**3 - 4*h**3 - h. What is the remainder when l(-14) is divided by 35?
31
Let r = 2176 + -2152. What is the remainder when 189 is divided by r?
21
Let f(i) = -i**3 + 7*i**2 + 5*i - 10. Let d(r) = -4*r + 5. Let y be d(2). What is the remainder when f(7) is divided by -6*(-4)/(-8)*y?
7
Suppose 0 = 20*g - 16*g. Suppose 0 = -5*c - g - 5, 0 = 2*a + c - 93. Suppose 4*y - 24 = 2*y. What is the remainder when a is divided by y?
11
Let j(f) = -f - 2. Let k be j(-5). Suppose -93 = -2*d - 5*t, 2*d + k*t = -d + 126. Calculate the remainder when 75 is divided by d.
36
Let o = 727 - -1454. Calculate the remainder when o is divided by 52.
49
Let x(w) = 3*w**2 - 2*w + 9. Let z be x(-6). Suppose -6*u = -405 - z. What is the remainder when u is divided by 13?
11
Suppose 4 - 16 = b. Let u = b - -30. What is the remainder when u is divided by (-4)/22 + 896/88?
8
Suppose 5*p + 25 = 10*p. Suppose -2*g - 2*g - p*a + 99 = 0, -2*g - 3*a = -47. What is the remainder when g is divided by 16?
15
Let v(o) be the third derivative of -o**6/120 - 11*o**5/60 - o**4/6 - 5*o**3/6 + 5*o**2. What is the remainder when v(-11) is divided by 10?
9
Suppose -3*s = -5*n + 199 + 94, n = -4*s - 360. Let b = 103 + s. What is the remainder when 20 is divided by b?
8
Let z = -31 + 28. Let j be 10/z*(-9 + 0). Suppose 0 = -k + 3*n - 6, -3*k + 0*n + j = 3*n. What is the remainder when 23 is divided by k?
5
Let m = -426 + 676. What is the remainder when m is divided by 52?
42
Suppose p = 27 + 13. Let s(k) = -38*k - 320. What is the remainder when p is divided by s(-9)?
18
Let g(c) = -2*c - 3. Let q be g(-5). Suppose 0 = q*b - 2*b - 25. Suppose -t + 0*t = 2*j, t = -b*j - 15. Calculate the remainder when 18 is divided by t.
8
Suppose 37*b = 29*b + 64. Let z(k) be the third derivative of -k**4/6 - k**3/3 + 2*k**2. Calculate the remainder when z(-6) is divided by b.
6
Let o = -225 + 258. What is the remainder when o is divided by 14?
5
Suppose -j - 3 = -6. Let b = j - -2. Suppose -r = -1 - 2. What is the remainder when b is divided by r?
2
Suppose 4*x = 9*x. Suppose x = y - p - 18 - 4, -3*y - 2*p = -86. Calculate the remainder when y is divided by 6.
2
Let x = 241 + -211. Calculate the remainder when 90 is divided by x.
0
Let q = -1223 + 1885. Calculate the remainder when q is divided by 35.
32
Let x(k) = -3*k**2 - 105*k + 33. Calculate the remainder when x(-35) is divided