Calculate the remainder when s(0) is divided by d.
24
Let a = 8 + 6. Let q = -39 - -44. What is the remainder when a is divided by q?
4
Let o = 477 - 457. What is the remainder when 59 is divided by o?
19
Let y = -28 - -30. Let z be (-196)/(-10) - (-2)/5. Suppose -y*x + z = 2*x. What is the remainder when 17 is divided by x?
2
Suppose 0*b = -b + v + 8, -5*v = 4*b - 77. Let x(j) = -2*j**2 - 18*j + 4. What is the remainder when b is divided by x(-9)?
1
Let y(g) = g - 7. Suppose 4*a + 8*a = 312. Calculate the remainder when 51 is divided by y(a).
13
Calculate the remainder when 165 is divided by (-4430)/(-85) - (-10)/(-85).
9
Let x = -29 + 39. What is the remainder when (42/4)/(2/8) is divided by 26 - (-4 + x - 2)?
20
Let y(m) = m**3 - 2*m**2 + 36*m - 143. What is the remainder when 427 is divided by y(4)?
31
Let i(r) = 18*r**2 - 2*r + 4. Calculate the remainder when i(4) is divided by 35.
4
Let l(w) = w. Suppose -2*o + 4 = 2*o. Let z(b) = 7*b + 2. Let p(y) = o*z(y) - 6*l(y). Calculate the remainder when 2 is divided by p(0).
0
Suppose 0*l - 3*l = -3*v - 45, -3*l = 4*v + 32. Let y be (33/v)/(6/(-40)). Let f = y + 6. Calculate the remainder when f is divided by 7.
5
Let i(r) = -r**3 + 7*r**2 + r - 22. What is the remainder when 196 is divided by i(4)?
16
Suppose 21*r + 3 = 22*r. Let p = 190 + -59. Suppose k - p = -3*k - u, r*k - 117 = 3*u. Calculate the remainder when k is divided by 9.
7
Calculate the remainder when (2 + 42)*(-52)/(-13) is divided by 60.
56
Suppose 2*r - u + 70 = -3*r, 4*u + 35 = -r. Calculate the remainder when 44 is divided by 4/(-20) + (-183)/r.
8
Let u = -5 + 7. Let c(p) = 10*p**3 - 2*p**2 - 2*p + 3. Calculate the remainder when c(u) is divided by (-8*(-8 + 14))/(2 + -4).
23
Let o = -100 - -502. What is the remainder when o is divided by 27?
24
Suppose 32*b = -25*b + 10431. Calculate the remainder when b is divided by 32.
23
Suppose 3*w = -3*x - 6 + 27, -23 = -4*w - 3*x. Suppose 10 = 2*g - 7*q + 3*q, 0 = -4*g + 4*q + 20. Calculate the remainder when 6 is divided by 3*w - 10/g.
2
Suppose -547 + 211 = 2*u. Let f = -89 - u. What is the remainder when f is divided by 20?
19
Calculate the remainder when 88 is divided by ((-72)/30)/(-4)*5.
1
Let y = 230 - 168. Let x be (-15)/(-1*3) + 1. Let d(z) = z**2 - 3*z - 2. Calculate the remainder when y is divided by d(x).
14
Let x(p) = -p**2 - p + 17. Let v(j) = j**2 + 2*j - 18. Let r(h) = 4*v(h) + 5*x(h). What is the remainder when 24 is divided by r(0)?
11
Let g be (-24)/14 + (-24)/84. Calculate the remainder when (-42)/(-4) - 3/(-6) is divided by (-2)/(-5)*g*(4 + -9).
3
Let x(c) = 3*c**2 - 5. Let a(w) = -5*w + 12. Let i be a(3). Calculate the remainder when x(i) is divided by 8.
6
Let t(o) = -o**3 + 10*o**2 - 7*o. Let v(d) = -d**2 - 15*d - 25. What is the remainder when t(8) is divided by v(-5)?
22
Calculate the remainder when 8/(-26) + (-73305)/(-585) is divided by 49.
27
Suppose -6*t = -2*t + y - 17, -y = 5*t - 21. Suppose -o = t*o - 15. Calculate the remainder when 19 is divided by o.
1
Suppose -19*p + 41 = -18*p. Let x = p - 27. Calculate the remainder when x is divided by 6.
2
Suppose 2*p - 35*n - 319 = -34*n, 5*p + 3*n - 770 = 0. What is the remainder when p is divided by 32*(-2)/(-10)*5?
29
Suppose 30 = -3*n + 8*n. Suppose n + 2 = -3*r - j, 4*j = -3*r - 14. Calculate the remainder when 65 is divided by (4/r)/((-3)/51).
31
Suppose 4*d + 1018 = 1154. What is the remainder when 43 is divided by d?
9
Suppose -8*h + 49 = 9. Let f(m) = m**3 - 4*m**2 + 5*m + 9. Calculate the remainder when f(h) is divided by 12.
11
Calculate the remainder when 10 is divided by (-102)/(-18) - (-8)/24.
4
Let h(t) = -4*t - 13. Let r be h(-5). Let c = r - -23. Calculate the remainder when 147 is divided by c.
27
Let m(p) = p**2 - 7*p - 9. Let n be m(10). Suppose -3*l + 83 = 4*v, -4 + n = v - 3*l. Calculate the remainder when v is divided by 14.
6
Let p be (-3)/(-2)*16/(-3). Let x(k) = k - 1. Let d be x(p). Calculate the remainder when 13 is divided by 1 + d/(-3) + 1.
3
Let u(d) be the third derivative of -d**5/60 + 7*d**4/24 + d**3/3 + d**2. Let a(w) = w + 5. Calculate the remainder when u(7) is divided by a(-3).
0
Let x = 182 + -335. Let m = x - -167. What is the remainder when 1*25 + 1 - 1 is divided by m?
11
Suppose 4*s + 5*o - 1 = 0, -3*s + 3*o - 3 = 3. Let v = 8 + s. Let c(b) = -2*b**3 + 3*b + 1. What is the remainder when c(-2) is divided by v?
4
Let p = 277 - 194. Suppose -2*o - 120 = -5*d, 9*d - 4*o + 90 = 14*d. Calculate the remainder when p is divided by d.
17
Let y = -118 + 144. What is the remainder when 180 is divided by y?
24
Let b = 5 + -4. Suppose 0 = 3*y + b - 19. What is the remainder when 17 is divided by y?
5
Let d(c) = -c**3 + 3*c**2 + 2*c. Let b = -4 + 6. Let h(j) = j**2 + 2*j - 2. Calculate the remainder when h(3) is divided by d(b).
5
Suppose -505 = -70*d + 65*d. What is the remainder when d is divided by 34?
33
Suppose 3*c - 35*b - 101 = -37*b, 0 = -5*c - 2*b + 175. What is the remainder when 698 is divided by c?
32
Let b be (42/(-4))/((-6)/8). Suppose -b - 21 = -5*f. Let k = 2 + f. What is the remainder when k is divided by 3?
0
Let j = -2187 - -2196. Let z = 13 + -8. Suppose -v + 21 = -z. Calculate the remainder when v is divided by j.
8
Let z(n) = 3*n**2 + 3*n + 4. Let h be z(-3). Suppose 2 = -2*w + h. Suppose -2 + 76 = 2*y. What is the remainder when y is divided by w?
7
Let a(w) be the third derivative of -w**6/120 + 19*w**5/60 - 5*w**4/8 + 7*w**3/6 + 23*w**2. What is the remainder when a(18) is divided by 32?
29
Let v = 150 + -142. What is the remainder when 15 is divided by v?
7
Let i(n) = -95*n**3 + 2*n**2 + 5*n + 2. What is the remainder when i(-1) is divided by 32?
30
Let t(a) = -23*a + 1. Let j be t(2). Let s = -39 - j. Calculate the remainder when 11 is divided by s.
5
Calculate the remainder when 3 + (292/(-6))/(20/(-30)) is divided by (-1 + 2 + -2)/(9/(-234)).
24
Let p = 59 - 35. Suppose 0 = -48*y + 53*y - 345. What is the remainder when y is divided by p?
21
Suppose 0 = -3*r - r + 20. Suppose -3*z = r - 2. Calculate the remainder when 82 is divided by (2 - (-1)/z)*21.
19
Suppose g = 7*g - 480. Suppose -5*d - g = -10*d. What is the remainder when 44 is divided by d?
12
Let d = 61 - 57. Suppose -s - h + 18 = -4*h, -s - d*h - 3 = 0. Calculate the remainder when 43 is divided by s.
7
Let p = -5 + 164. Calculate the remainder when p is divided by 33.
27
Suppose -2*b - 4*m = -6*b + 28, -4*b + 3*m + 26 = 0. Suppose l - b = -0*l + s, -s + 1 = 0. What is the remainder when 17 is divided by l?
5
Let b(q) = -9*q + 9. Let y be b(-10). Let k = -19 + y. Calculate the remainder when k is divided by 17.
12
Suppose 23 = 3*a + 2. Suppose -4*n + a = v - 2, 2*v - 42 = -2*n. Calculate the remainder when v is divided by 14.
11
Let t(y) = -y**3 + 27*y**2 - 24*y + 17. Let a be t(26). Let i = a - 30. What is the remainder when 115 is divided by i?
37
Suppose 0 = 5*k - 19 - 1. Let q = k + -3. Let m(c) = 9*c - 1. What is the remainder when 15 is divided by m(q)?
7
Let q(m) be the first derivative of m**4/4 + m**3 - m**2/2 - 2. Let x(v) = 9*v**2 - 5*v + 4. What is the remainder when x(3) is divided by q(2)?
16
Suppose 2*d = -3*k + 73, 5*k = 5*d - 13 + 143. What is the remainder when k is divided by 8?
1
Let m = 50 - 36. Let c = -18 + m. Calculate the remainder when 6 is divided by (c - 2)/((-15)/10).
2
Suppose -3*v - 79 = -2*l, -3*l + 56 + 63 = -5*v. Suppose -2*w + 1 = -1. Suppose w = 3*a - 29. What is the remainder when l is divided by a?
8
Let u(q) = -q**2 + 32*q - 62. Calculate the remainder when 50 is divided by u(29).
0
Let x(l) = l**2 + 764*l - 13275. What is the remainder when (-11)/4*(-5 - -1) is divided by x(17)?
1
Let d(y) = 25*y + 39. Calculate the remainder when d(0) is divided by 1.
0
Suppose 3*t - 2 - 7 = 0. Let s be ((-21)/14)/(t/(-4)). Suppose 3*x - 3*g + s*g = 194, 2*x - 101 = -5*g. Calculate the remainder when x is divided by 16.
15
Suppose -35 - 45 = -5*q. Suppose -j = j - q. Let m = 12 - -3. What is the remainder when m is divided by j?
7
Let v(m) = -2*m**3 - 9*m**2 - 6*m + 13. Let h be v(-6). Suppose 250 + 29 = 5*y - 2*o, -3*y + h = 4*o. What is the remainder when y is divided by 28?
27
Suppose 3*f - 519 = 6*f. Calculate the remainder when 2/2 - (f + 9) is divided by 42.