
Suppose 4*q - 676 = 13*l - 9*l, 4*q + 5*l - 649 = 0. Calculate the remainder when q is divided by 21.
19
Suppose -30 = 6*d - 12*d. Suppose 0*f = 3*f - 12, -4*f - 84 = -d*h. Calculate the remainder when 57 is divided by h.
17
Let i(r) = r**2 + 20*r - 53. Let c be i(-12). What is the remainder when (-4)/(-3)*12/(-8)*c is divided by 50?
48
Let j(h) = 5*h**2 - 12*h + 11. Calculate the remainder when 26 is divided by j(2).
5
Let k(u) = 17*u - 140. Calculate the remainder when k(24) is divided by 45.
43
Let h(o) = 3*o**2 + 2*o - 7. Suppose 3*g - 5*w = -30, -4*g + 3*w - 20 = -2*g. What is the remainder when h(4) is divided by (g/(-3))/((-14)/(-105))?
24
Suppose 5 = 2*d + 5*i, 8*i = 3*i - 5. Suppose -d*b = -7*b + 102. Calculate the remainder when b is divided by 27.
24
Suppose i - 72 - 8 = 0. What is the remainder when i is divided by 28?
24
Let f(l) = 2*l**3 - l**2 - 3*l + 2. Let t = 6 - -11. Let x = 19 - t. Calculate the remainder when 29 is divided by f(x).
5
Suppose 2*p - 3*y - 110 = p, 570 = 5*p + 5*y. Calculate the remainder when p is divided by 15.
8
Let g = -4 - -247. Suppose 49 = -66*y + 67*y. What is the remainder when g is divided by y?
47
Suppose s - 3*q + 0*q = -6, 0 = 4*s + 2*q - 32. Suppose -9*n + 261 = -s*n. What is the remainder when (n/2)/((-3)/(-2)) is divided by 10?
9
Let m be -8*(2/(-4) - (-4 - -4)). Suppose m*y = -0 + 60. What is the remainder when 44 is divided by y?
14
Let n = 71 + -32. Suppose 0 = -2*i - 4*p + 48, -4*i + 7*i - 5*p = n. Calculate the remainder when 249 is divided by i.
15
Suppose 15*n - 284 = -44. Calculate the remainder when (5 + 47)/((-2)/(-3)) is divided by n.
14
Let v(z) = -z**3 - 14*z**2 - 20*z - 14. Suppose 8*t - 215 - 25 = 0. Calculate the remainder when v(-13) is divided by t.
17
Let v(t) = t**3 + 11*t**2 - 63*t - 18. What is the remainder when 183 is divided by v(-15)?
21
Let k be ((-4)/12 + -2)*-24. Calculate the remainder when k/(-12)*3/(-2) is divided by 4.
3
Suppose 10*t = 5*t - 5*o + 20, 4*t + 5*o = 17. Suppose i = -5*d + t*i + 68, 0 = -2*d + 2*i + 32. Calculate the remainder when 141 is divided by d.
9
Suppose 0 = 7*r - 5*r + b - 1243, 4*b + 1881 = 3*r. Calculate the remainder when r is divided by 25.
23
Let w(b) = b**2 + 11*b + 23. Suppose -t - 2*k - 27 + 9 = 0, -20 = t + 3*k. Calculate the remainder when w(t) is divided by 33.
32
Let k(w) = -2*w**3 - 25*w**2 - 21*w + 53. What is the remainder when k(-12) is divided by 42?
35
Let o = 28 - 25. Suppose -o*y + 75 = -4*n, -3*y + n = -2*n - 75. What is the remainder when y is divided by 10?
5
Let h be (-20)/50 + (-106)/10 + 0. Let l(t) = t**3 + 10*t**2 - 13*t + 13. Calculate the remainder when 69 is divided by l(h).
34
Suppose 80 = 125*b - 117*b. What is the remainder when 25*(-2)/((-4)/2) is divided by b?
5
Calculate the remainder when (-1 - -37) + (-42 - -45) is divided by 11.
6
Suppose 3*z + 660 = 14*z. Calculate the remainder when z is divided by 8.
4
Let u(j) = -j**2 - 3*j + 5. Let g be u(-4). Let v be (-48)/(-12) + 0 + g. Let s = v + 18. Calculate the remainder when 66 is divided by s.
20
Let x = -437 - -463. What is the remainder when x is divided by 17?
9
Let u = -3 - -3. Suppose 4*z = 3*i - u*i - 15, -2*z - 2*i - 4 = 0. Calculate the remainder when 55 is divided by (38/(-4))/(z/6).
17
Let l(c) = c**3 + 14*c**2 + 12*c - 24. Let p be l(-13). Let o(w) = w**3 + 9*w**2 - 24*w - 8. Calculate the remainder when 51 is divided by o(p).
9
Let m(r) be the third derivative of r**5/60 + r**4/6 - 29*r**3/6 + 7*r**2. Calculate the remainder when 55 is divided by m(-9).
7
Suppose 4*r - 75 = 5*b, -r + 2*b + 25 = 7*b. Suppose -l - 2*l = -3*i - 21, -i + 5 = 2*l. What is the remainder when (118/l)/((-2)/(-4)) is divided by r?
19
Let w(v) = -v. Let s(p) = -4*p**2 + 6*p - 2. Let q(r) = -s(r) + 2*w(r). Let m = 35 - 15. What is the remainder when q(6) is divided by m?
18
Let j(h) = h**3 - h**2 - 113*h - 20. Calculate the remainder when 57 is divided by j(-10).
7
Let j(w) = -w**2 - 11*w + 19. Let p be j(-11). Let v(f) = -f**2 + 21*f - 15. Calculate the remainder when v(p) is divided by 7.
2
Let b(o) = -10*o**3 - o + 1. Let f be b(1). Let d(k) = k**2 + 79*k - 1459. What is the remainder when d(-95) is divided by 4/(-10) + (-164)/f?
13
Let w be 3/5*(-540)/(-12). Let y = w + -19. What is the remainder when y is divided by 3?
2
Let w be (-42)/(-14) - 62/(-2). Suppose 4*a + w = 3*a. Calculate the remainder when 6 is divided by ((-2)/(-3))/(a/(-255)).
1
Suppose x = -b - 1, x + 21 = 8*b - 4*b. Calculate the remainder when 59 is divided by b.
3
Suppose -3*a = -t + 37, 0 = -5*t - 3*a + 45 + 68. What is the remainder when 205 is divided by t?
5
Suppose 5*y = 12*y + 28. Calculate the remainder when 6/12 + (-626)/y is divided by 32.
29
Let k(c) = c**3 + 2*c**2 + 27. What is the remainder when k(0) is divided by 24?
3
Let c(i) be the third derivative of -i**4/12 + 17*i**3/6 - 12*i**2. Calculate the remainder when 9 is divided by c(7).
0
Let j = 80 - 57. Suppose 2*l = -l + 5*n + j, -11 = -2*l - n. Let q(i) = 3*i**3 - i**2 - 2*i + 1. Calculate the remainder when q(2) is divided by l.
5
What is the remainder when 251 is divided by (-105)/20*(2288/12)/(-13)?
20
Suppose 3*a - 200 = -h - 4*h, 0 = a - h - 56. Let m = a - 15. Suppose -m = 5*j - 10*j. What is the remainder when 33 is divided by j?
6
Let j(q) = -q**2 + 17*q - 16. Calculate the remainder when 33 is divided by j(15).
5
Let y(s) = 35*s - 103. What is the remainder when y(6) is divided by 55?
52
Let x(h) = -2*h + 26. Let o be x(-15). Suppose -8*t + t = -o. Suppose -f - g = -3*f + 150, 0 = 2*g - t. Calculate the remainder when f is divided by 16.
13
Suppose f - 2*g - 56 = 0, -13*f - 3*g = -18*f + 294. Let y(b) = -b**3 + 7*b**2 - 5*b + 3. Calculate the remainder when f is divided by y(6).
6
Let p(g) = 4*g + 29. Suppose 0*z = z + 12. Let v = 4 - z. What is the remainder when v is divided by p(-5)?
7
Let h = 485 + -430. Calculate the remainder when 266 is divided by h.
46
Let n be (7 + -2)*(-3 - -4). Suppose 0 = -n*v - 4*h + 649 - 108, -5*h - 223 = -2*v. What is the remainder when v is divided by 5?
4
Suppose -38 + 18 = d. What is the remainder when 66 is divided by (d/2)/((-11)/11)?
6
Let x(k) = k**3 + 12*k**2 - 2*k + 14. What is the remainder when 97 is divided by x(-12)?
21
Suppose -5*n = -2*x - 17 - 130, -2*x = 2*n - 56. Calculate the remainder when 82 is divided by n.
24
Suppose -493 - 696 = -41*w. Calculate the remainder when w is divided by 15.
14
Let a = 33 - 56. Let x = 49 + a. What is the remainder when x is divided by 10?
6
Let x(w) = w**2 + 16*w + 21. Let g(n) = -15*n - 10. Calculate the remainder when g(-3) is divided by x(-15).
5
Let w be (-6)/4*(-4)/6. Let d = 7 - w. Let g = -20 - -23. Calculate the remainder when d is divided by g.
0
Let q = -13 - -34. Let s = 22 - q. Let x(l) = 3*l + 3. What is the remainder when x(s) is divided by 3?
0
Suppose -23*u = -20*u - 39. Let i = 9 + u. Suppose -d + 9 = -3. Calculate the remainder when i is divided by d.
10
Let d(b) = -b**3 - 7*b**3 - 10 + 10*b + 6*b**2 + 7*b**3. Suppose -1 = -f + 6. Calculate the remainder when d(f) is divided by 6.
5
Suppose 0 = 3*n - 4*n - 1. Calculate the remainder when (-9)/3*(1 - n)*-5 is divided by 24.
6
Suppose -7*k + 73 = -46. What is the remainder when 100 is divided by k?
15
Suppose 48 = 5*a + 8. Let k be (-13)/52 + 18/a. Suppose -48 = -5*u + k*u. Calculate the remainder when u is divided by 6.
4
Let z(j) = -8*j - 47. Let c be z(-8). Suppose -24*i + c*i = -14. Let d = -19 - -30. Calculate the remainder when d is divided by i.
1
Let i = 219 - 68. Suppose -7*n = 4*m - 3*n - 176, -i = -4*m + n. What is the remainder when m is divided by 10?
9
Let o(s) = -68*s - 43. Calculate the remainder when o(-4) is divided by 21.
19
Suppose -19*a = -3502 + 6. What is the remainder when 203 is divided by a?
19
Suppose -16*a = -6*a + 70. Let r = a - -14. What is the remainder when 38*-1*4/(-8) is divided by r?
5
Let m(h) = 4*h + 22. Let f be m(-6). Let v(i) = i**2 - 2. Let s be v(f). Calculate the remainder when 7/(s*(-5)/(-130)) is divided by 23.
22
Suppose -4*x + 197 = 45. Calculate the remainder when x is divided by 10.
8
Suppose -3*j = -y - j + 37, -y + 40 = j. Suppose -3*x + 17 = -7*x - 5*h, -2*x - 2*h = 6. Calculate the remainder when ((-13)/y)/(x/(