z + 7. Let v(h) = h**2 + 21*h + 15. Let y(w) = -5*k(w) + 2*v(w). What is the remainder when 54 is divided by y(a)?
16
Let t = 927 - 865. What is the remainder when t is divided by 4?
2
Suppose 0 = -2*x + 14 + 38. Let i = 11 - 8. Suppose 5*f = -n + 9, -f + 72 - i = 5*n. What is the remainder when x is divided by n?
12
Suppose 11*z + 5*z - 16 = 272. Suppose 4*x - 2 = 2. Calculate the remainder when (-2 - x)*104/(-6) is divided by z.
16
Let v = 2144 - 2100. What is the remainder when 45 is divided by v?
1
Let l be -2*(-3 + 4/((-32)/164)). Suppose -l = 5*x - 62. Calculate the remainder when 6 is divided by x.
0
Suppose -13*z - 326 = -1483. Let r = z + -62. Calculate the remainder when 50 is divided by r.
23
Let q = -22 - -33. Let j(c) = -2*c**2 + 22*c + 753. Calculate the remainder when j(-14) is divided by q.
9
Suppose -2*c + 5*c - 78 = 0. Let k = 4 + 9. What is the remainder when c is divided by k?
0
Let x be (55/22)/((-2)/(-28)). Calculate the remainder when 41 is divided by 13 - 7/(x/(-10)).
11
Suppose -4*y - 5*c + 258 = 0, 0 = -5*y - c + 298 + 35. Calculate the remainder when y is divided by 27.
13
Let c = -76 - -131. Suppose 3*i = 9 + 48. Calculate the remainder when c is divided by i.
17
Suppose -6*u + 6237 = 27*u. What is the remainder when u is divided by 24?
21
Suppose -y - 435 = -4*p, 0*p + 547 = 5*p + 2*y. Let u = -98 + p. What is the remainder when (1/3)/(3/279) is divided by u?
9
Let o(i) = i**3 - 11*i**2 - 6*i + 5. Calculate the remainder when o(12) is divided by 21.
14
Let m(o) be the second derivative of o**4/6 + 5*o**3/6 + 4*o**2 - 5*o. Calculate the remainder when m(-6) is divided by 26.
24
What is the remainder when (-172)/72*3*-6 is divided by 15?
13
Let w = 7 + 9. Let i(g) = -g**3 - g**2 - 5*g + 8. Let y be i(4). Let z = 169 + y. Calculate the remainder when z is divided by w.
13
Let z(f) = 2*f + 18. Let l be z(-7). Suppose 41 = l*w + t, 3*w = -4*t + 10 + 37. What is the remainder when w is divided by 4?
1
Let c be (-5 + 3)*(-158)/(-4). Let f = 50 - c. Calculate the remainder when f is divided by 33.
30
Let t(b) = 2*b**2 + 35*b + 26. What is the remainder when 215 is divided by t(-18)?
39
Suppose -3*s - 10 = -4. Suppose -m + 30 = 2*b - 4*b, -2*m - 4*b = -84. What is the remainder when 4 is divided by (s/6)/((-4)/m)?
1
Suppose -5*r + 20 = 0, -3*r = 5*o + r - 36. Calculate the remainder when 18 is divided by o.
2
Let v = 6 + -3. Suppose f - 8 = v. Let n(y) = -2*y**3 - 12*y**2 + 11*y - 1. What is the remainder when n(-7) is divided by f?
9
Suppose 0 = -18*a + 572 + 94. What is the remainder when 146 is divided by a?
35
Let m be 0 + -1 + (1 - 29). Let k = m - -55. Calculate the remainder when (108/(-9))/6*-25 is divided by k.
24
Let x = 2822 - 2818. What is the remainder when 310 is divided by x?
2
Let r(o) = 3*o**2 + 11*o - 10. Calculate the remainder when r(-5) is divided by 5.
0
Suppose 0 = 20*t - 24*t + 48. Suppose -3*s = 5*u - 941 + 188, 157 = u - s. What is the remainder when u is divided by t?
9
Let i(l) = -l + 5. Let d be i(0). Suppose -d*a = -0*a - 465. Calculate the remainder when a is divided by 32.
29
Suppose -p + 132 = -158. What is the remainder when p is divided by 49?
45
Suppose -102*v + 109*v = 217. Calculate the remainder when 61 is divided by v.
30
Suppose 7*u - 13 - 36 = 0. Calculate the remainder when 32 is divided by u.
4
Let a = -318 - -351. Calculate the remainder when 58 is divided by a.
25
Suppose 13*b + 204 = 10*b. Let a = 82 + b. Calculate the remainder when 41 is divided by a.
13
Let g = -106 - -131. Calculate the remainder when 74 is divided by g.
24
Suppose 14*i - 11*i - 9 = 0. What is the remainder when 64 is divided by (255/(-20))/(i/(-4))?
13
Suppose -8*b = -76 - 100. Calculate the remainder when 219 is divided by b.
21
Suppose -140 = -323*f + 328*f. Suppose 2*i - c + 155 - 38 = 0, 4*c = -4. Let r = f - i. Calculate the remainder when r is divided by 17.
14
Suppose 0 = -4*h - 22 + 66. Calculate the remainder when 18 is divided by h.
7
Let j = -838 + 876. What is the remainder when 66 is divided by j?
28
Let z(s) = -248*s + 3477. What is the remainder when z(14) is divided by -3*(0 + 2)/(-2)?
2
What is the remainder when 281 is divided by (-11 + 47)/(-4) - -66?
53
Let y(s) = 4*s - 2. Let j be y(2). Suppose -j*w + 280 = -w. Let a = 43 + -14. What is the remainder when w is divided by a?
27
Suppose c + 5*s - 22 = -9, 4*c + 2*s = 16. Calculate the remainder when 55 is divided by c.
1
Suppose 2*v = 10 - 0, -4*v = -k - 16. Suppose -3*y + 58 = 8*t - 3*t, k*t - 53 = -3*y. Calculate the remainder when 43 is divided by y.
10
Let v = 804 + -701. What is the remainder when 406 is divided by v?
97
Suppose 60 = 4*r - 0*r. Suppose 0 = -5*d - 0*d + r. Calculate the remainder when 14 is divided by d.
2
Calculate the remainder when 27 is divided by (0/(-3))/1 - -5.
2
Suppose 36 = -4*v - 0*v. Let i be (-8)/(-3)*v/(-6). Let d = i + 13. What is the remainder when d is divided by 10?
7
Suppose -331*m - 280 = -341*m. Calculate the remainder when 1565 is divided by m.
25
Let q(j) = j**2 + 2*j - 7. Let g be q(3). Suppose 0 = -g*w + 36 + 52. Calculate the remainder when 40 is divided by w.
7
Suppose 0 = 16*i - 4002 - 2750. Calculate the remainder when i is divided by 72.
62
Suppose o - 200 = -4*r + 47, -4*r = -5*o - 277. Calculate the remainder when 122 is divided by 1/(-2 - r/(-31)).
29
Suppose 0 = -3*b + 18 - 0. Let u = -73 - -102. What is the remainder when u is divided by b?
5
Let l(p) = -p - 2. Let x be l(-3). Calculate the remainder when x*(-140)/(-4) - -2 is divided by (0 - -1 - 0)*10.
7
Let w(x) = -x + 17. Suppose -3*q = -2*l + 18, 0 = 4*l - 2*q + 4*q - 4. Suppose 0 = 4*g - l*g - 4. Calculate the remainder when w(0) is divided by g.
1
Let t(l) = -l**3 - 20*l**2 - 25*l + 34. Calculate the remainder when t(-19) is divided by 39.
31
Suppose 0 = 2*x - 78. Suppose w = -w + l + 7, 0 = -w - 2*l + 1. Suppose -5*g + 32 = -w. What is the remainder when x is divided by g?
4
Suppose 0 = -5*y - 17 - 93. Let h(o) = o + 37. What is the remainder when 42 is divided by h(y)?
12
Let j = 3 - -1. Let s(h) be the first derivative of -h**3/3 + 6*h**2 + 5. What is the remainder when s(11) is divided by j?
3
Suppose k - 71 = 2*c - 14, 4*c + 135 = -5*k. Let f = -29 - c. Calculate the remainder when 2 is divided by f.
0
Let m = -150 + 262. What is the remainder when m is divided by 18?
4
What is the remainder when 42 is divided by 42/(-273) - (-197)/13?
12
Let y(o) = o**3 + 19*o**2 - 119*o + 4. What is the remainder when y(6) is divided by 8?
6
Let u = 186 - 167. Calculate the remainder when 32 is divided by u.
13
Let c(x) = 158*x**2 - 8*x - 1. Calculate the remainder when c(1) is divided by 76.
73
Suppose -22 = -3*b - 43. What is the remainder when 14 is divided by (b - (-4)/(-2))/((-3)/2)?
2
Let f(g) = -g**3 + 4*g**2 - 2*g + 11. Let r be f(5). Calculate the remainder when 30 is divided by 19/2 + 36/r.
6
Let o be 88/3*(2 - -1). Suppose -2*d + 36 = i, d + 3*d - 2*i - o = 0. Suppose -d = -p - p. What is the remainder when 28 is divided by p?
8
Suppose 0*q = -2*q + a + 491, -985 = -4*q - a. What is the remainder when q is divided by 19?
18
Let i be (8/(-6))/((-4)/(-6)). Let o = 35 - i. Calculate the remainder when o is divided by 10.
7
Suppose 6 = -5*q + 121. Calculate the remainder when 90 is divided by q.
21
Let o = 1 - 3. Let h(s) be the second derivative of s**4/6 - s**3/2 - 3*s**2/2 - 121*s. Calculate the remainder when 20 is divided by h(o).
9
Let s(c) = c**3 + 4*c**2 - 6*c - 1. Let g be s(-5). Let t = -1 - -6. Suppose 9*m - g*m - t = 0. Calculate the remainder when 3 is divided by m.
0
Let i = 25 - 12. Let t be 3 + 4 - (-3 + 5). Suppose -3*x = -t*d - 7, x - 4*d = -3*d + 5. What is the remainder when i is divided by x?
4
Let u(d) = 16*d - 4. Suppose 84 = 3*a + 3*v, 51*v - 25 = -a + 49*v. What is the remainder when u(6) is divided by a?
30
Calculate the remainder when (-42)/(-210) + (-578)/(-10) is divided by 6.
4
Suppose -5*a - 42 = -3*n, n + 5*a = -0*n + 14. Let z = 529 - 490. Calculate the remainder when z is divided by n.
11
Let g be (-2)/6 - (-28)/12. Suppose -g*t = -f + 4, 2*f - 5*f + 5 = t. Suppose -f*u - 1 = -13. What is the remainder when u is divided by 4?
2
Suppose -5*l = -4*m + 1772, -1183 = -4*m - 4*l + 589. Suppose 0*