 u = 229 + -129. Suppose -2*r - a = 25, 0 = -5*r + 7*a - 2*a - u. Calculate the remainder when 54 is divided by 4/10 + (-414)/r.
26
Suppose 0 = -2*y - 0*y + 238. Suppose -2*m + 163 + y = 0. What is the remainder when m is divided by 48?
45
Suppose 0 = -z - 3*z. Suppose -p - 26 + 35 = z. What is the remainder when 17 is divided by p?
8
Suppose -5*d - j - 30 = 0, 3 + 27 = -5*d + j. What is the remainder when 82 is divided by 2/d + (-156)/(-9)?
14
Let l(g) = -g**3 + 3*g - 4. Suppose -3*y - 2*y + 120 = 0. What is the remainder when y is divided by l(-3)?
10
Calculate the remainder when 508 is divided by -7*(-1)/((-8)/76)*-2.
109
Let w(d) = 5*d**2 - 3*d + 1. Let h(l) = -2*l + 6. Let t be h(0). Let o be w(t). Suppose -5*a + 107 + o = 0. Calculate the remainder when a is divided by 14.
12
Let r(s) = -s + 13. Let x be r(9). Suppose 0 = x*a - 9*a + 30. What is the remainder when 50 is divided by 0 + 2 - (-30 + a)?
24
Let r(j) = -2*j**2 + 32*j - 19. Let u be r(15). Suppose -11*k = u*k - 1562. What is the remainder when k is divided by 18?
17
Suppose 4*m - 13 = -3*l + 3*m, l - m - 7 = 0. Suppose -3*j + 7*s - 2*s - 10 = 0, -5*j - 2*s = -35. What is the remainder when l is divided by j?
0
Let w(z) = z + 21. Let h(y) = -y - 11. Let u(j) = -11*h(j) - 6*w(j). Let v = -6 - -11. What is the remainder when 37 is divided by u(v)?
17
Let v(a) = a**3 + 6*a**2 - a - 3. Let c be v(-6). Suppose c*z = -0*z. What is the remainder when 43 is divided by -3 - z - -14 - 0?
10
Suppose 44*s = 4*x + 48*s - 276, 3*x - 4*s = 193. Calculate the remainder when x is divided by 5.
2
Let x = -367 - -381. Calculate the remainder when 49 is divided by x.
7
Suppose 0 = -2*p - q + 4*q + 96, 0 = -4*q + 8. Calculate the remainder when 814 is divided by p.
49
Suppose -k + 12*t + 54 = 14*t, -4*k = 5*t - 219. What is the remainder when 556 is divided by k?
52
Let a be -4 + 3*(-157)/(-3). Let i = a + -86. Calculate the remainder when i is divided by 35.
32
Suppose 0 = -134*n + 137*n - 1614. What is the remainder when n is divided by 21?
13
Suppose l = -2*l - 12. Suppose -4*x + 21 + 3 = 0. What is the remainder when 2 - 2 - 68/l is divided by x?
5
Let j(g) = -6 + 8 - g**2 + 2*g + 0*g. Let k be j(3). Let x(t) = -36*t**3 + t + 1. What is the remainder when x(k) is divided by 10?
6
Let g = 13 + -32. Let v(y) = y**2 + 21*y + 59. Calculate the remainder when 72 is divided by v(g).
9
Let l(r) = r**3 + 9*r**2 + 10*r - 2. Let i be l(-8). Suppose 5*x = 408 - 1008. What is the remainder when 28 is divided by ((-9)/(-6))/(i/x)?
8
Suppose 4*o - 15*o = -297. What is the remainder when 99 is divided by o?
18
What is the remainder when (234 - (-1 + 2)) + -7 is divided by 23?
19
Let c(j) = j**2 - 3*j - j**3 + 4*j + 9 - 5 + 2*j**3. What is the remainder when 15 is divided by c(0)?
3
Let o = 599 + -567. What is the remainder when 55 is divided by o?
23
Suppose 0 = 4*n - 5*x - 24 + 7, 12 = 3*n - 3*x. Let v(f) = f + 28 + 3*f - 7 - n*f. Calculate the remainder when 38 is divided by v(0).
17
Suppose 2*j = 2*s - 28 + 44, 4*j - 3*s = 37. Suppose 143 = 5*l - 3*h - 43, 6 = -3*h. Calculate the remainder when l is divided by j.
10
Suppose 2*s - 3*a - 39 = 0, -2*a + 9 = 2*s + a. What is the remainder when 71 is divided by s?
11
Let m(a) = -a**3 - 5*a**2 - 2*a + 12. Calculate the remainder when 658 is divided by m(-6).
58
What is the remainder when (-6)/14 - (-141825)/175 is divided by 29?
27
Let v = 14 + -12. Suppose 0*p + 11 = 2*c + 5*p, 0 = 3*c + v*p. Let o = c + 5. What is the remainder when o is divided by 2?
1
Let i(s) = -6*s**2 + 2*s - 5. Let v be i(4). Let m = 132 + v. What is the remainder when m is divided by 21?
18
Suppose 3*d = -10*d + 689. Suppose -56 = -k - k. What is the remainder when d is divided by k?
25
Let j = 3 + 0. Suppose -6*i - 21 = -j*i. Let h = i + 53. Calculate the remainder when h is divided by 16.
14
Let w = 41 - 13. Calculate the remainder when 29 is divided by (-3)/(w/40 - 1).
9
Let h = -1450 + 1518. Calculate the remainder when h is divided by 33.
2
Suppose 2 + 8 = p. Let x = 118 - 111. What is the remainder when p is divided by x?
3
Let c(n) = n**2 - 11*n - 7. Suppose 13*p - 330 = 73. What is the remainder when c(-7) is divided by p?
26
Let y = 28 - 13. Let c = 177 + -103. What is the remainder when 7733/c + (-2)/4 is divided by y?
14
Let i(j) = j**2 + 8*j + 3. Let a = -25 - -17. Let y be i(a). Suppose 24 = -y*c + 4*c. What is the remainder when 47 is divided by c?
23
Suppose 0*a - 4 = -a. Suppose 4*m - 21 = -r, a*r = -4*m + 2*m. Suppose 163*l - 2153 = 1433. Calculate the remainder when l is divided by m.
4
Let l(c) = 5*c + 2. Let z(x) = -x - 3. Let g be z(-7). Suppose g - 10 = -v. Calculate the remainder when l(4) is divided by v.
4
Suppose -14 = 3*y - o + 5*o, 5*o = -2*y - 21. What is the remainder when (-245)/(-5) - (-8)/y is divided by 14?
11
Suppose -6*k + 1274 = k. Calculate the remainder when k is divided by 47.
41
Let s = -38 + 131. Suppose -2*i + 4*y - 17 = -s, 0 = -5*i + 4*y + 214. Let t = 26 - 10. What is the remainder when i is divided by t?
14
Suppose 0 = 43*x - 47*x + 272. What is the remainder when x is divided by 28?
12
Let y(z) = -z**3 + 15*z**2 + 17*z - 4. Calculate the remainder when 78 is divided by y(16).
6
Let b(v) = -v**3 - 51*v**2 - 54*v - 178. What is the remainder when b(-50) is divided by 9?
4
Calculate the remainder when 329 is divided by 57/(-247) - 81/(-13).
5
Suppose 2*m + 16 = 3*m. Let p = -30 + 35. Let g(s) = -s**3 + 6*s**2 + 6*s - 10. Calculate the remainder when g(p) is divided by m.
13
Let p(m) = -m + 13. What is the remainder when ((-253)/(-77))/((-3)/(-105)) is divided by p(0)?
11
Let i(z) = -4*z. Let n(x) = -21*x - 15. Let j be n(2). Let s = j + 88. What is the remainder when s is divided by i(-4)?
15
Suppose 0 = -2*o + 3*y + 111, 4*o - y - 3*y - 220 = 0. What is the remainder when 9 is divided by ((-4)/12)/((-3)/o)?
3
Suppose 0 = -7*f + 2143 + 2890. What is the remainder when f is divided by 90?
89
Let f(o) = o**3 + 6*o**2 + 3*o. Let b = -25 + 48. Suppose b*i = 24*i - 7. What is the remainder when f(-5) is divided by i?
3
Calculate the remainder when 58 is divided by 100/4 - 5/15*12.
16
Suppose 0 = -1155*b + 1152*b + 24. Calculate the remainder when 22 is divided by b.
6
Let k = 164 + -107. What is the remainder when k is divided by 13?
5
Suppose -3*h + 25 = -5*t, -2*t = 2*h - 4*h + 10. Suppose h = 4*g - 148. What is the remainder when g is divided by 19?
18
Let l = 2 - -5. Let q(b) = -19*b + 14*b + 21*b + b**2 + 27. Calculate the remainder when q(-15) is divided by l.
5
Suppose 0 = 2*x + 3*q - 797, -9*x - 1960 = -14*x - q. Let o(y) = 2*y**3 - 5*y**2 + y + 4. Calculate the remainder when x is divided by o(4).
55
Let p(j) = -j**3 + 17*j**2 + 3*j - 15. Let w be p(17). Let g = w - 23. What is the remainder when 36 is divided by g?
10
Let y = 22 + -15. Suppose -y = n - 20. Suppose 3*p - 6 = 3*s, 2*s - 17 = -4*p + 3*s. What is the remainder when n is divided by p?
3
Let g(u) = 9*u - 59. Calculate the remainder when g(22) is divided by 24.
19
Suppose 3*d - 76 = -2*p + p, 3*p = -2*d + 221. Let r = p + -44. What is the remainder when r is divided by 10?
9
Let f(g) be the first derivative of -g**4/4 - 4*g**3/3 - 6*g**2 - 2*g + 1. What is the remainder when f(-5) is divided by 23?
14
Let p = 0 - -3. Suppose -3*k = -p*z - 33, 4*k + 3*z - 5 - 4 = 0. What is the remainder when ((-64)/(-12))/(16/48) is divided by k?
4
Let z = 449 - 376. Calculate the remainder when 156 is divided by z.
10
Suppose 5*y - 84 = -2*m, -9*y = m - 4*y - 32. Calculate the remainder when 163 is divided by m.
7
Suppose -j = -65 - 98. Calculate the remainder when j/5 - 8/(-20) is divided by 9.
6
Let f = 846 - -11. Calculate the remainder when f is divided by 39.
38
Let q = -645 + 706. Suppose 8 = -0*s + s. What is the remainder when q is divided by s?
5
Let c = -549 - -584. Calculate the remainder when 446 is divided by c.
26
Suppose -4*u = -4*l + 92, -4*u = l - 3*u - 17. Calculate the remainder when 53 is divided by l.
13
Calculate the remainder when 228 is divided by 15/(-6)*(-402)/15.
27
Suppose 0 = -5*k - 3*v + 7*v + 5125, v = -k + 1025. Calculate the remainder when k is divided by 79.
77
Suppose 23 + 37 = 5*p. Calculate the remainder when (19/(57/(-30)))/(1/(-7)) is divided by p.
10
