5*f. Suppose a*k = 6*k + 450. What is the remainder when k is divided by 23?
21
Let n = -14 + 40. Calculate the remainder when 77 is divided by n.
25
Let z be (3 - (2 + -1))*4. Let c = 10 - z. Calculate the remainder when 6/1*1/2 is divided by c.
1
Calculate the remainder when 132 is divided by 6/(-14) + (-101)/(-7) + 1.
12
Calculate the remainder when ((-16)/5)/(22/(-495)) is divided by 15.
12
Let r be (-61)/(-4) + 1/(-4). Suppose -5*f - 60 + 16 = k, 0 = 3*f - 4*k + 31. Let p = r + f. What is the remainder when 10 is divided by p?
4
Suppose 5*r - 46 = -4*d - 12, 0 = -3*r - 5*d + 10. Let h = 14 - r. Suppose 5*b = 4*z + 49, -3*b - 5*z = -1 - 58. Calculate the remainder when b is divided by h.
1
Suppose -2*h = -4*h + 6. Suppose 2*f + 0*f - 16 = 0. Calculate the remainder when f is divided by h.
2
Let u = 24 - 8. Calculate the remainder when 47 is divided by u.
15
Let v be 6/(-9)*(14 - 2). Suppose 0*m - 36 = -3*m. What is the remainder when v*((-51)/4)/3 is divided by m?
10
Let w(v) = -13*v - 63. What is the remainder when w(-9) is divided by 21?
12
Suppose -f - 3*d + 54 = 0, 0 = f - 3*d - 2*d - 38. Let c = f - 0. What is the remainder when c is divided by 17?
14
Let u(z) = -6*z**3 + 1. Let l be u(1). What is the remainder when 60 is divided by l + (-9)/(-3) + 33?
29
Let f = 8 + -8. Let b(z) = z - 3. Let i be b(f). Calculate the remainder when -11*((-9)/(-3))/i is divided by 3.
2
Let l = -3 - -4. Let s(j) = 3*j + 1. Let z be s(l). Suppose -5*y + 19 = 3*p - y, -4*y + z = 0. What is the remainder when 9 is divided by p?
4
Suppose -2*c - 3*c = -50. Let k(y) = -28*y + 1. Let v(o) = o**2 - 5*o - 1. Let r be v(5). What is the remainder when k(r) is divided by c?
9
Let k = -74 + 141. Let f be (-18)/(-42) + (-6)/14. Suppose f = -8*c - 68 + 252. What is the remainder when k is divided by c?
21
Suppose 2*r + v = 2*v + 39, -2*v = 3*r - 69. What is the remainder when r is divided by 12?
9
Let j(m) be the third derivative of -37*m**6/120 + m**4/12 + m**3/6 - m**2. Let b be j(-1). Let n = 50 - b. What is the remainder when n is divided by 5?
4
Let r be 8/(-3)*3/(-2). Suppose r*m = 3*m + 2. What is the remainder when 1/1 - (-3 - 1) is divided by m?
1
Suppose -144 = -5*d - d. Suppose 0 = 3*v - d - 15. Calculate the remainder when v is divided by 5.
3
Let j = 93 + -12. Suppose -j = -4*y - 21. Calculate the remainder when y is divided by 8.
7
Suppose -2 = -0*u + u. What is the remainder when 35 is divided by (u - (3 + -2)) + 12?
8
Suppose -w - 2*w + 270 = 0. Suppose -4*i = -2*i + 5*m - 64, 5*m = 5*i - w. Calculate the remainder when i is divided by 8 + -1 + -1 + 2.
6
Let y(j) = j**3 - 11*j**2 - 12*j. Let c be y(12). Suppose c = 5*r - 47 + 2. What is the remainder when 25 is divided by r?
7
Let c = 9 + -6. Suppose 2*v - c = 7. Calculate the remainder when 14 is divided by v.
4
Let y(g) = g**3 + 2*g + 60. Let w(s) = s + 1. Let j(i) = -2*w(i) + y(i). Calculate the remainder when j(0) is divided by 20.
18
Let y be (-4)/(2/(-1)) + 10. Suppose y + 2 = 2*p. What is the remainder when 13 is divided by p?
6
Let p = -150 - -183. What is the remainder when 100 is divided by p?
1
Let o(h) = h**2 + 12*h + 30. Calculate the remainder when 48 is divided by o(-10).
8
Suppose -3*z + 40 = -50. Suppose 0 = 6*r - 388 - 140. What is the remainder when r is divided by z?
28
Let m(c) = -c**2 - 3*c - 2. Let u be m(-5). Let j(f) = -f**3 - 13*f**2 - 13*f + 6. What is the remainder when j(u) is divided by 7?
4
Suppose d + 4*d - g = 10, 4*d = 5*g - 13. Suppose d*z + 165 = -0*k + 3*k, -k + 61 = -4*z. What is the remainder when k is divided by (1 - -3)/(14/63)?
17
Let n(p) = -p**2 - 12*p - 3. Calculate the remainder when 223 is divided by n(-5).
31
Suppose a = 3*a - 50. Let t = 37 - a. What is the remainder when t is divided by 5?
2
Let d(b) = -b**3 + 7*b**2 - 9*b + 8. Let z be d(6). Calculate the remainder when (-12)/(-10)*(-25)/z is divided by 2.
1
What is the remainder when -3 - -28 - 0/(-3) is divided by 9?
7
Calculate the remainder when 24 is divided by 8/4 - -10 - 3.
6
Let n = 4 + 9. Calculate the remainder when 37 is divided by n.
11
Suppose 3*t + 8 = 23. Suppose t*b - 44 - 36 = 0. What is the remainder when 63 is divided by b?
15
Let x(d) = 33*d. Suppose 4*q - 3*m = 51, 0 = -4*q - 4*m + 1 + 15. Calculate the remainder when x(1) is divided by q.
6
Suppose -33 = -5*r + 4*r. Let q(t) = -t**3 + 9*t**2 + 12*t - 3. Calculate the remainder when r is divided by q(10).
16
What is the remainder when 53 is divided by 13 + (2 - (2 - 2))?
8
Let h = 42 - 29. Calculate the remainder when 1 + (-2 - 0) + 39 is divided by h.
12
Calculate the remainder when 6 is divided by (-8)/(-3)*9/6.
2
Let c(t) = t**2 + 5*t - 8. What is the remainder when 63 is divided by c(-8)?
15
Suppose 3*o - 106 = -x, 4*o - x = 31 + 108. Suppose -7*m = -5*b - 2*m + 55, -3*m + 3 = 0. Calculate the remainder when o is divided by b.
11
Suppose -4*p = 28 - 248. Calculate the remainder when p is divided by 19.
17
Let z be 2/(2 + 168/(-87)). Let n = -12 + z. What is the remainder when 64 is divided by n?
13
Let y = 116 + -63. Calculate the remainder when y is divided by 19.
15
Let u be 2/(-3) + 537/9. Let b = u - -2. Calculate the remainder when b is divided by 16.
13
Suppose 4*s + 7*q = 2*q + 86, -3*q + 101 = 5*s. What is the remainder when 94 is divided by s?
18
Let t = 61 + -35. Let y = -17 - -12. Let b = y - -19. Calculate the remainder when t is divided by b.
12
Let l(m) = m**3 + 3*m**2 - 3*m - 1. Suppose 2*j + 9 = 55. Calculate the remainder when j is divided by l(-3).
7
What is the remainder when 85 is divided by 6/(-8)*228/(-9)?
9
Suppose 0*s = -4*s + 8. Let m(k) be the second derivative of 3*k**3 - 3*k**2/2 + 26*k. What is the remainder when m(s) is divided by 9?
6
Let g(w) = w**3 + 10*w**2 - 24*w + 20. Let l = -140 - -198. What is the remainder when l is divided by g(-12)?
18
Let k(b) be the second derivative of -b**5/20 + 2*b**4/3 + 3*b**2/2 + b. Suppose 24 = 3*h - 0*h. What is the remainder when 7 is divided by k(h)?
1
Let c be 1 + -2 - (-1 - -4). Let u(j) be the first derivative of -j**4/4 - 5*j**3/3 - 3*j**2/2 + 5*j - 1. What is the remainder when 2 is divided by u(c)?
0
Let d be 36/2 + (0 - 0). Suppose 2*g - 4*y = -3*y + d, 0 = g - 5*y. What is the remainder when 78 is divided by g?
8
Suppose 0*s = -4*s + 12. Suppose 0 = -4*w - w + 3*f + 58, -3*f = -3*w + 36. What is the remainder when w is divided by s?
2
Let r(b) = -7 + 2*b - 7*b + 19*b + 2*b**2. What is the remainder when 16 is divided by r(-8)?
7
Let a be 6/(-24) + (-66)/(-8). Calculate the remainder when (1 - 50/a)*-4 is divided by 11.
10
Suppose 31 = 4*s + k - 112, 182 = 5*s - 2*k. What is the remainder when s is divided by 10?
6
Let g = -29 + 74. Suppose m + 3 = 3*k - 0*k, -2*k + 46 = 3*m. Calculate the remainder when g is divided by m.
9
Let z(r) = -23*r**3 - r - 1. Calculate the remainder when 68 is divided by z(-1).
22
Let c be (3 - 1)/(-2 - -4). Calculate the remainder when 42 is divided by -1 - 4/c*-4.
12
Suppose -2*f - 4*d = -2*d + 36, 26 = -f - 5*d. Let w = 39 + f. Let c(z) = 8*z. Calculate the remainder when w is divided by c(1).
7
Suppose -10 = -h + 24. What is the remainder when 66 is divided by h?
32
Suppose -18*w + 20*w = 60. Calculate the remainder when w is divided by 17.
13
Let i(s) = -s**3 - 2*s**2 + 30*s - 10. Let m = -43 - -82. What is the remainder when m is divided by i(4)?
11
Let v(i) = 7*i**2 - 2*i - 15. Let p(z) = 15*z**2 - 4*z - 29. Let a(m) = 6*p(m) - 13*v(m). Calculate the remainder when a(0) is divided by 8.
5
Let t be ((-3)/(-3)*-10)/(-2). Suppose -2*x = -h - 29, -t*x - 2*h = -0*h - 68. What is the remainder when 26 is divided by x?
12
Let s = 5 + -9. Let z be (-7 + 83)/((-2)/s). Suppose -4*a + z = 8. What is the remainder when a is divided by 19?
17
Suppose 4*o = 13*o - 135. Calculate the remainder when 43 is divided by o.
13
Calculate the remainder when (312/(-15))/((-2)/5) is divided by 16.
4
Suppose r + 0*r - 25 = 0. Calculate the remainder when r is divided by 14.
11
Let k = -6 + 6. Suppose -3*m - 2*m + 35 = k. Suppose 4*w = 4*n - 27 - 9, 4*n + 4*w - 60 = 0. What is the remainder when n is divided by m?
5
Let o(d) = d**3 + 5*d**2 - 6*d - 1. Calculate the remainder when o(-5) is divided by 0 - -18 - 15/5.
14
Let d = -42 + 61. C