e -m = -2*y - 8, -y - 60 = -m - 3*m. Calculate the remainder when m is divided by h/27 - (-4)/(-18).
7
Let q(f) be the second derivative of -5*f**3/3 - 9*f**2/2 + 12*f. What is the remainder when 18 is divided by q(-2)?
7
Calculate the remainder when 4/((-2)/2 - (-660)/636) is divided by 69.
37
Let w be (-2)/(-3) - 39/(-9). Suppose 17 = -m - w*n, -4*m - 5*n = 50 + 78. Let o = m - -61. What is the remainder when o is divided by 9?
6
Calculate the remainder when 3 + (-7)/42*-93*6 is divided by 39.
18
Suppose -z - 33 = -25. Calculate the remainder when (-268)/6*12/z is divided by 14.
11
What is the remainder when (-5 - -438 - 7) + 1 is divided by 13?
11
Suppose -3*q - 205 = -4*l, 2*q + 55 = l + 5*q. Calculate the remainder when l is divided by 19.
14
Let t(g) = 9*g + 463. Calculate the remainder when t(-16) is divided by 67.
51
Suppose 3*n = 4*d + 20, 0*n - 5*d - 19 = -3*n. Let b be n/(-20) + 104/10. Suppose -6 = -l + b. Calculate the remainder when l is divided by 6.
4
Let y be 0*1/(-4) - 2. What is the remainder when 23 is divided by 261/45 - y/10?
5
Suppose 5*h - 43 - 492 = 0. Calculate the remainder when h is divided by 31.
14
Let p(x) = -x**3 + x**2. Let l(w) = -5*w**3 + 15*w**2 + 17*w + 8. Let d(h) = -l(h) + 6*p(h). What is the remainder when 64 is divided by d(-7)?
12
Suppose -322*w + 324*w - 86 = 0. Suppose 6*a - 3*a - 513 = 0. What is the remainder when a is divided by w?
42
Suppose 0 = 2*u - 3*g - 1162, -2*u + 1006 + 160 = -5*g. Calculate the remainder when u is divided by 58.
56
Let f be (-1)/(-2) - 3/6. Suppose -5*y + 8 = -5*r + 4*r, f = -4*r - y + 52. Suppose 21 + 1 = v. Calculate the remainder when v is divided by r.
10
Suppose 0 = 2*f - 2*r + 3*r - 77, 5*f - 3*r - 176 = 0. Calculate the remainder when (-2)/(-7) + ((-1527)/(-21) - 1) is divided by f.
35
Suppose -305 - 289 = -6*d. Calculate the remainder when d is divided by 17.
14
Suppose 8 = 6*w - 2*w. Suppose -4*o + 112 = 5*d, -w*d + 0*d = 0. Suppose 0 = -0*m + 10*m - 810. What is the remainder when m is divided by o?
25
Let d(w) = -16*w + 942. Calculate the remainder when 375 is divided by d(53).
93
Let t = -122 + 130. What is the remainder when 164 is divided by t?
4
Suppose 929 - 413 = 6*x. Calculate the remainder when 511 is divided by x.
81
Suppose -4*b = 3*f + 252, -2*f = -3*f + 2*b - 94. Let i = -62 - f. Let g = 48 + -32. Calculate the remainder when i is divided by g.
10
Suppose -9*u = -16*u + 21. Suppose -61 = -v + u*h + 9, -v + 68 = -2*h. Calculate the remainder when v is divided by 33.
31
Suppose -2*b - 2*b = -p - 18, -5*b = -5*p - 15. Suppose -25 = -p*g + 3*f, 2*g + 29 = 4*g + f. Let l = 18 - -8. What is the remainder when l is divided by g?
12
Let u(a) = a**3 + 32*a**2 + 56*a + 130. Calculate the remainder when u(-28) is divided by 81.
78
Suppose -3*s - s = -20. Suppose 0 = -s*n + 86 - 6. Calculate the remainder when 29 is divided by n.
13
Suppose -r + 5 = -0. Calculate the remainder when r is divided by (3/(-4))/(9*(-13)/312).
1
Suppose 3*v + 1 - 7 = -k, -4*v = 5*k - 30. Let b(y) = y**2 - 9*y + 11. What is the remainder when b(11) is divided by ((-4)/k)/((-4)/102)?
16
Suppose -t + 19 = 3. Calculate the remainder when (-618)/(-10) - (-1)/5 is divided by t.
14
Suppose 6*w + 74 = 3*z + w, 3*w - 24 = -2*z. Let n = -6 + 9. Calculate the remainder when z is divided by n + 2*(-2 - -3).
3
Suppose -13 = -5*n + 17. Let u(y) = 6*y + 20. What is the remainder when u(n) is divided by ((-8)/10)/(1/(-25))?
16
Suppose -2*u + 3*f + 6 = 0, -3*u + 3*f = -0 - 6. Suppose -w + 3 + 22 = u. Calculate the remainder when w is divided by (-46)/(-6) + 4/(-6).
4
Let a be 7*3*4/12. Suppose a*r = 6*r + 2. Suppose -48 = -3*k + 3*y, 4 = -r*y + 8. What is the remainder when 33 is divided by k?
15
Suppose -14 = -4*a + 22. Let y = a - 4. Suppose 12 = 5*t - 4*u - 47, -y*u = -t - 5. What is the remainder when 27 is divided by t?
12
Suppose -19*s + 4242 = 23*s. Calculate the remainder when s is divided by 23.
9
Calculate the remainder when 47 is divided by 10/(160/8)*(38 - 0).
9
Suppose 3*q + q + 24 = -4*r, 0 = -3*r - 15. Let a be 1*(3 + 0/q). Suppose f - 4*j = 7, 21 = -0*f + a*f - 3*j. What is the remainder when f is divided by 5?
2
Let l(m) = m**3 + 44*m**2 + 118*m - 97. Calculate the remainder when 115 is divided by l(-41).
7
Let j be (-8885)/(-15) + 0 + 1/(-3). Suppose -k - 4*g = -199, -3*k - 3*g + 5 + j = 0. What is the remainder when k is divided by 40?
39
Suppose -o = -5*r - 27, 2*o + r - 19 = 4*r. What is the remainder when o is divided by (-2)/5 + (-36)/(-15)?
0
Let c(t) = -t**2 - 14*t - 8. Let k(p) = p**2 + 14*p + 9. Let m(o) = 7*c(o) + 6*k(o). Calculate the remainder when m(-8) is divided by 17.
12
Let s(t) = t**3 - 18*t**2 + 21. Let u be s(18). Suppose -17*g = -u*g + 24. What is the remainder when g is divided by 2?
0
Let j be (-12)/8*2 + 79. Suppose 5*d = 5*m + j + 74, -3*d - m = -74. Calculate the remainder when 101 is divided by d.
23
Let l = 65 + -39. Suppose -4*n = -4*r - 156, n + 2*r + 3 = 42. Suppose -206 - n = -5*z. Calculate the remainder when z is divided by l.
23
Let q be 10/(-35) + 2/7. Let x(a) = 2*a - 25. Let f(c) = 2*c - 24. Let s(d) = -4*f(d) + 3*x(d). Calculate the remainder when s(q) is divided by 11.
10
Let w(x) = x**2 - 4*x + 2. Let z be (-2)/(((-8)/15)/4). Let h = z + -10. What is the remainder when 26 is divided by w(h)?
5
Calculate the remainder when (13 - 12)*(0 - -83) is divided by 21.
20
Let l be 6/((-4)/(-2)) + 1. Suppose 0 = -l*d + 4 + 16. Suppose -49*n + 372 = 44*n. What is the remainder when d is divided by n?
1
What is the remainder when (87/4)/(71/284) is divided by 5?
2
Suppose 5*v - 2*h = 45, 0 = -3*h - h. Suppose 5*c + 2*a + 13 = 0, 4*c + 0 = -3*a - v. Let y(q) = 2*q**2 + 2. What is the remainder when 78 is divided by y(c)?
18
Let b = 829 + -772. What is the remainder when 625 is divided by b?
55
Suppose 0 = -4*a - b + 2, -2*b + 6*b = -a - 7. Suppose 16 = v + a. Suppose 3*y = -2*y + v. What is the remainder when y is divided by 2?
1
Let g = 39 + -16. Let u(o) = -4*o + 34. What is the remainder when g is divided by u(5)?
9
Let y(x) = -x**3 - 27*x**2 - 2*x + 54. Calculate the remainder when y(-27) is divided by 24.
12
Let c be (-4)/(-6)*1407/28*2. Suppose c = 4*p + 7. Calculate the remainder when 87 is divided by p.
12
Suppose -2*o + n = -16, 37 = 5*o - n - 3*n. Let i(l) = -l**3 + 3*l**2 + 5*l - 12. What is the remainder when o is divided by i(2)?
1
Suppose 2*n - 57 - 106 = -o, 0 = 5*n + 4*o - 409. Suppose 0 = 4*k + 3*r - n, -k + 47 = k - 5*r. What is the remainder when k is divided by 13?
8
Calculate the remainder when 32 is divided by (3 + -8 + 18/4)*-36.
14
Suppose 9*r - 8*r - 4 = 0. Suppose 0*x + 248 = r*x. What is the remainder when x is divided by 24?
14
Let f be (20 + 0)/5*1. What is the remainder when ((-5)/f)/(3/(-12)) is divided by 2?
1
Let b = 998 - 983. What is the remainder when 38 is divided by b?
8
What is the remainder when 85 + (-93)/(-12) + (-6)/(-24) is divided by 30?
3
Let y(b) = b**2 - 22*b - 44. What is the remainder when (-7)/((-14)/4) - -5 is divided by y(24)?
3
Let u = -10 + 26. Let c = u - -2. Suppose -5*w - 3*t + t = -269, 2*t = 4. Calculate the remainder when w is divided by c.
17
Let u be ((-20)/30)/((-4)/(-78)). What is the remainder when 25 is divided by (78/u)/(6/(-10))?
5
Let v = 10 - 5. Suppose 20 = -4*a, -555 = 10*u - 15*u + 4*a. Suppose 0 = -9*x + u + 46. What is the remainder when x is divided by v?
2
Calculate the remainder when 4*4/(-120) + 14721/45 is divided by 56.
47
Let f be ((-232)/(-16))/(1/(-2)). Let z = f - -38. Let k = z + -5. What is the remainder when 18 is divided by k?
2
Let x = 2742 - 2420. Calculate the remainder when x is divided by 74.
26
Let x be 6 - (-1 - -3) - 1. Suppose -x*v = -0*v. Suppose -4*o + v*o = -44. Calculate the remainder when 30 is divided by o.
8
Let o(h) = 9*h**2 - h + 1. Calculate the remainder when o(5) is divided by (52 + 49/(-7))*1.
41
Let z = -9 + 9. Suppose z*f + f = 5. Suppose -f*q + 5*s = -q + 9, 5*q - s - 15 = 0. Calculate the remainder when 7 is divided by q.
3
Let x = 32 - 25. Let f(u) = u**3 - 8*u**2 + 7*u + 3. Calculate the remainder when 9 is divided by f(x).
0
Let x = -16 + 27. Suppose -5*w + x + 19 = 2*s, -4*w - 8 = 0. Calculate the remainder when 6/15 + (-193)/(-5) is