is divided by (q/25 + -4)/((-2)/(-30)).
3
Let y(k) = -k**3 + 3*k**2 + 13*k + 10. Calculate the remainder when 147 is divided by y(-3).
22
Let n(q) = 2*q. Suppose 2*i = 11 + 19. Suppose 3*a - 2*v - 37 = 0, -a + 0*v = -2*v - i. Calculate the remainder when a is divided by n(2).
3
Let x = -266 + 380. Calculate the remainder when x is divided by 59.
55
Let b = -137 - -451. What is the remainder when b is divided by 9?
8
Let i be (-15)/(-5 + 10)*4/6. Suppose 0 = 3*s - 5*s - 4*t + 26, -5*s - 3*t + 51 = 0. Let r = s + i. What is the remainder when 13 is divided by r?
6
Suppose -3*z = -8*z + 60. Let f(t) = t**3 - 11*t**2 - 11*t - 10. Let q be f(z). Suppose 5*y - 24 = q*y. What is the remainder when 31 is divided by y?
7
Let a(z) = -14*z + 22. Let d be a(9). Let i = -70 - d. What is the remainder when i is divided by 18?
16
Suppose 73*s = 66*s + 35. What is the remainder when 12 is divided by s?
2
Suppose 40 = 3*w - 2*w + 2*m, 15 = -3*m. Let l = -19 + 23. What is the remainder when (-3)/12 - w/(-8) is divided by l?
2
Let q(u) = 7*u**2 - 4*u - 8. Calculate the remainder when q(4) is divided by 47.
41
Let v(f) = -3*f**3 - f**2 + 9*f + 5. Let d be v(-3). Suppose d = 3*s - 25. What is the remainder when 96 is divided by s?
21
Suppose f - q + 17 - 65 = 0, 4*q - 12 = 0. Suppose 8 + 1 = 3*o. Suppose -52 = -o*d - d. Calculate the remainder when f is divided by d.
12
Let z be ((-1)/(-4) + 2)*(-8)/(-3). Calculate the remainder when (-4)/z - (0 - (-160)/(-6)) is divided by 7.
5
Calculate the remainder when (-1494)/(-18) + 1 + -7 is divided by 23.
8
What is the remainder when ((-232)/28 - 2)/((-15)/210) is divided by 41?
21
Let n(g) = 6*g**2 + g - 2. Let s(a) = a**3 - 5*a**2 + a - 7. Let m be s(5). Calculate the remainder when 59 is divided by n(m).
19
Suppose 0 = -15*j + 4*j + 319. What is the remainder when j is divided by 8?
5
Suppose 0*u - 3*u + 5*q = 12, -u = 4*q + 4. Let r(o) = 9*o**2 - 13. Calculate the remainder when r(u) is divided by 19.
17
Let h = 349 + -327. Calculate the remainder when 84 is divided by h.
18
Let b = -294 - -371. What is the remainder when 846 is divided by b?
76
Let n be 4/(-3)*(-12)/(-8). Let q be n/3 - 66/(-18). Suppose -2*u + 3*r + 39 = 10, 2*u + q*r = 47. What is the remainder when u is divided by 11?
8
Suppose -q + 16 = -2*i, 2*q - q = -3*i + 26. Calculate the remainder when 36 is divided by q.
16
Let w(m) = 23*m - 106. Let h = -7 - -35. Calculate the remainder when w(7) is divided by h.
27
Suppose 3*d + z + 84 = 0, -2*z + 64 = 2*d - 4*d. Let j = d + 48. Calculate the remainder when 56 is divided by j.
18
Suppose -m - 3*n = 4*m - 156, 5*m - 177 = 4*n. Let k be 2 + 27 + -2 + -3. Let t = -12 + k. What is the remainder when m is divided by t?
9
Suppose 3*u = 5*h + 422, 3*h = -3*u - 167 + 557. Calculate the remainder when u is divided by 43.
5
Let w = 47 - 37. Suppose 8 = -2*j + w. What is the remainder when 6 is divided by j?
0
Let v(t) = t**2 + 8*t - 39. Let w be v(18). Suppose 8*p - w = -3*p. Calculate the remainder when 73 is divided by p.
34
Let k(x) = 5 + 10*x - 4*x**3 + x - 1 + 3*x**3 - 5*x**2. Calculate the remainder when k(-7) is divided by 14.
11
What is the remainder when 53 is divided by (-1*1)/(28/(-532))?
15
Let t(m) = m**3 - 13*m**2 + 14*m - 5. Suppose 3*j - 37 + 1 = 0. What is the remainder when 112 is divided by t(j)?
17
Suppose t - 6 = 3*z, 0*t + 2*t + 2*z - 12 = 0. Let d(o) = 2*o**3 - 13*o**2 + 8*o + 4. Calculate the remainder when d(t) is divided by 11.
5
What is the remainder when 206 is divided by (-38)/(-7)*301/86?
16
Suppose 94 - 1708 = -3*m. What is the remainder when m is divided by 77?
76
Let s = -456 + 462. What is the remainder when 10 is divided by s?
4
Let n = 24 - 1. Let y = -10 - -13. Let c = n - y. Calculate the remainder when 59 is divided by c.
19
Suppose -1843 - 56 = -9*u. Calculate the remainder when u is divided by 53.
52
Suppose -q + 5760 = 94*q - 2315. Suppose -3*a + 0*a = -33. What is the remainder when q is divided by a?
8
Let w = 57 + -46. Suppose 0 = -3*l - z + w, -5*l = -l - 5*z - 21. Suppose 0*p + 6 = p. Calculate the remainder when p is divided by l.
2
Let d(s) = 2*s**2 - 6*s - 6. Let o be d(4). Suppose 6*k - o*k = 40. Calculate the remainder when 36 is divided by k.
6
Let o(t) be the third derivative of -t**6/40 - t**5/12 + 7*t**4/24 + 5*t**3/6 - 6*t**2. What is the remainder when o(-4) is divided by 15?
14
Suppose 0 = -2*c + 48 + 10. Let l = 10 + 29. Suppose l + 9 = 3*d. Calculate the remainder when c is divided by d.
13
Let h(g) = 11*g**3 - g**2 + 1. Suppose 3*t = -3*z + 4 + 20, 3*z + 5*t - 26 = 0. Calculate the remainder when h(1) is divided by z.
4
Let x(m) = m**3 + 3*m**2 - 2*m - 1. Calculate the remainder when x(2) is divided by 8.
7
Let d(g) be the third derivative of g**5/60 - 5*g**4/24 + 5*g**3/3 - 2*g**2. What is the remainder when 38 is divided by d(5)?
8
Let f(m) = m**2 - 5*m - 14. What is the remainder when 203 is divided by f(-6)?
47
Suppose 20 = 4*k, -4*k + 0*k + 10 = -2*u. Suppose 5*v = u, 4*v = 4*j - 0*v. Let p(z) = 8*z + 3. Calculate the remainder when p(j) is divided by 7.
4
Let r = 1314 + -1305. Let i(f) = -f**2 + 42. What is the remainder when i(0) is divided by r?
6
Let f = -53 + 62. Let p(a) be the second derivative of a**3/2 - 5*a**2/2 - a. What is the remainder when p(6) is divided by f?
4
Let j(p) = p**3 + 5*p**2 + 3*p + 4. Let v be 2/(-4)*(12 - -6). Let q = 14 - v. Calculate the remainder when q is divided by j(-4).
7
Let l be 1/2*(4 - -122). Suppose 5*t - l = -13. Let o = 54 - 26. Calculate the remainder when o is divided by t.
8
Let f be ((-32)/6)/((-30)/315). Let t = 78 - f. What is the remainder when 41 is divided by t?
19
Let a(p) = -p**2 + 23*p - 30. Suppose 3*v - 6*v + 63 = 0. Let r = -27 - -86. What is the remainder when r is divided by a(v)?
11
Suppose -3*u = 3*u - 114. Suppose 3*s - 2*o - o = 141, 0 = 3*s + 4*o - 148. What is the remainder when s is divided by u + 0 - (-1 - 9/(-3))?
14
Let a = -268 + 377. What is the remainder when a is divided by (-4)/2 + -11 + 41?
25
Let w(c) be the first derivative of -12*c**2 + c - 11. Calculate the remainder when w(-1) is divided by 13.
12
Let f(v) = 36*v**2 - v - 2. Calculate the remainder when f(1) is divided by 17.
16
Suppose 0 = -5*w - 3*k - 58, -w + 16 = -2*w - 5*k. Let p be 6/(-5)*(w + 6). What is the remainder when 10/(-6)*p*-2 is divided by 7?
6
Suppose -165*r + 145*r + 5180 = 0. Calculate the remainder when r is divided by 86.
1
Suppose 639 - 2415 = -8*l. Calculate the remainder when l is divided by 75.
72
Let n = 5 + -4. Suppose 230 = 36*z - 13*z. What is the remainder when (-6)/(2*n/(-6)) is divided by z?
8
Let j(z) = z**3 + 3*z**2 - 15*z - 5. Calculate the remainder when j(4) is divided by 24.
23
Let q = -22 - -50. Let n = 174 - 164. What is the remainder when q is divided by n?
8
Suppose 4*p + 0*p + 87 = 3*w, -p = -3*w + 78. Let k(x) = 10*x - 12. What is the remainder when k(11) is divided by w?
23
Let w = -2 - -10. Let y = -180 - -195. What is the remainder when y is divided by w?
7
What is the remainder when 248 is divided by (-78 + -11 + -11)*(-1)/2?
48
Suppose 4*i - 3*r - 183 = 0, -26 + 226 = 5*i + 2*r. What is the remainder when i is divided by 22?
20
Suppose -5*p - 51*j = -55*j - 5, 3*j + 10 = 5*p. Calculate the remainder when 152 is divided by p.
2
Let l(q) = q**3 + 18*q**2 + 12*q - 64. What is the remainder when 293 is divided by l(-17)?
20
Let b be -1 - (2 + 1 + 4 + -12). Calculate the remainder when 7 is divided by (40/48 + (-2)/b)*6.
1
Let h(b) = -b**3 + 17*b**2 + b - 13. Let f be h(17). Suppose -f = -i - 0*i. Calculate the remainder when 17 - (4/i + 0) is divided by 5.
1
Let d = 81 - 50. Let j = -12 + d. What is the remainder when 55 is divided by j?
17
Let v(n) = -6*n - 14. Suppose r + 12 = -2*u, -2*u - 4*r - 8 = 10. Calculate the remainder when 59 is divided by v(u).
11
Suppose 4*c - 33 = 3. Let b(w) = 23*w - 313. Calculate the remainder when b(15) is divided by c.
5
Suppose 13 = -3*t + 4*f, 5*f - 1 - 18 = t. Let m = 22 - 15. Calculate the remainder when m is divided by (-20)/8*(-1 - t).
2
Let h(z) = 15*z - 90. What is the remainder when 209 is divided by h(8)?
29
Let f be (8/(-3))/((-11)/330). Let u = 134 - f. Calculate the remainder when u is divided by 29.
25
Suppose -85 = -6*