w) = w + 5. Let i = -5 - -9. What is the remainder when p is divided by v(i)?
8
Suppose 5*t - 4*h - 5 + 0 = 0, -4*t + 4 = -2*h. Calculate the remainder when 4 is divided by t.
0
Suppose -8*u + 62 = -418. What is the remainder when u is divided by 21?
18
Suppose 4*o + h = -0*o - 23, o + 5*h + 1 = 0. What is the remainder when 6 is divided by (3*1)/(o - -7)?
0
Suppose 4*u + 93 = 7*u. Calculate the remainder when u is divided by 2.
1
Let q = 23 - 10. Let v be 7/1*(3 - 2). Calculate the remainder when q is divided by 6/(-3) - -1*v.
3
Let x be 3/1 + (95 - -7). Let o = x + -61. What is the remainder when o is divided by 15?
14
Let c(f) = -2*f - 3. Suppose 0*a = 5*a - 65. Suppose -5*i = 3*p - 0*p - 50, 0 = -4*i + 3*p + a. What is the remainder when i is divided by c(-3)?
1
Let w = -103 + 283. What is the remainder when w is divided by 14?
12
Suppose 5*w - 3*v = 331, -2*w + 3*v + v = -138. What is the remainder when 17 is divided by 12/(-42) + w/7?
8
Let d be (15/4)/((-45)/(-120)). Let z = d + -5. Suppose -3*l = -0*l - 12. What is the remainder when z is divided by l?
1
Suppose o = 17 + 9. Calculate the remainder when o is divided by -2 - (-1 - 0 - 10).
8
Let o = -3 - -21. Suppose -2*c + 0 + 8 = 0. Suppose 5*i - 10 = c*i. Calculate the remainder when o is divided by i.
8
Let z = 9 + -7. Suppose 5 = 5*o - z*n, 5*o + 0*n = -4*n + 35. Suppose 2*y - 2*l = 32, -2*y - 4*l - 1 + o = 0. Calculate the remainder when 19 is divided by y.
8
Suppose -o = 7*o - 200. Calculate the remainder when o is divided by 9.
7
Suppose 10 + 16 = -5*c - 2*w, 0 = 3*c - 4*w. What is the remainder when 20 is divided by c/10 + (-111)/(-15)?
6
Let h = 267 + -159. Calculate the remainder when h is divided by 29.
21
Suppose 9*g - 5*g = 0. Let s = g + 3. Let o(f) = -f**3 + 4*f**2 + 2*f. Calculate the remainder when o(4) is divided by s.
2
Suppose -5*p = 5*m - 40, -p - 2*m + 0 = -6. What is the remainder when 29 is divided by p?
9
Suppose -3*y = 3*i - 5 - 16, 4*y - 5*i + 8 = 0. Let o(q) = q**2 - 2*q + 1. Let n be o(1). Let l = n + 5. Calculate the remainder when l is divided by y.
2
Let m(l) = -l**3 + 4*l**2 - l + 2. Suppose -2*a = -4*q + 5 - 23, 7 = 3*a + 4*q. Suppose 25 = a*b - 50. What is the remainder when b is divided by m(3)?
7
What is the remainder when (324/30)/((-14)/(-10) + -1) is divided by 12?
3
Let n be (-37)/(-6) - 6/36. Suppose v + n = 4*v. What is the remainder when v is divided by 2?
0
Let j be (-8 + 1)/(-8 - -7). Let k(t) = j + 12*t - 7. What is the remainder when 35 is divided by k(1)?
11
Let r = 7 - -4. Suppose -2*t + 0*t - 44 = -2*k, 0 = k - 3*t - 24. What is the remainder when k is divided by r?
10
Let p(m) = -m**2 + 2. Let o(q) = q**2 + 3*q - 4. Let z be o(-4). Calculate the remainder when (-4)/1*(-6)/8 is divided by p(z).
1
Let r = 26 - 30. Calculate the remainder when 19 is divided by ((9 + r)*-1)/(-1).
4
Suppose -3*k = -12, -35 = -i + 2*k - 8. Suppose -151 = -4*z - i. What is the remainder when z is divided by 10?
9
Let f(i) = i**3 - 4*i + 3. Calculate the remainder when 34 is divided by f(3).
16
Suppose -4 = -q - 0*q. Suppose 0 = 4*m - v, 2*m - 7*m = q*v. Suppose c + m*c - w = 14, 4*c = 2*w + 48. What is the remainder when 29 is divided by c?
9
Suppose -9 = 5*n - 3*q, -n = 2*q + 2*q - 12. Suppose 4*u + 4*a + 56 = n, 4*a + 20 + 27 = -3*u. Let o = 8 - u. Calculate the remainder when 32 is divided by o.
15
Let c(y) = 4*y**2 + 31*y - 5. What is the remainder when 46 is divided by c(-8)?
1
Let f = 1 + 2. Calculate the remainder when f is divided by 12/(-3)*3/(-6).
1
Let d(g) = -g**2 - 11*g - 12. Let x be d(-8). Let m = 34 - x. What is the remainder when 63 is divided by m?
19
Suppose -5*p + 157 = -p - 3*l, 0 = -4*l + 4. Calculate the remainder when 156 is divided by p.
36
Let d(f) = f + 21. Let x be (-1)/(-5) - (-4)/(-20). Suppose 3*v - 34 - 35 = x. Calculate the remainder when v is divided by d(-9).
11
Let i = -2 + 4. Let q = 8 + -4. What is the remainder when ((-40)/(-25))/(q/10) is divided by i?
0
Suppose -94*j + 93*j + 121 = 0. Calculate the remainder when j is divided by 25.
21
Let z be 192/(-12)*(-1 - 0). Suppose -4*j + 40 = 2*c + z, 0 = -2*c - 2*j + 18. Suppose 0*r + 17 = r. What is the remainder when r is divided by c?
5
Let z be 2/(-4) - (-115)/2. Suppose 0 = 3*v - 6*v + z. What is the remainder when v is divided by 7?
5
Suppose -4*j - 2*h + 72 = -h, 5*j - 3*h = 90. Calculate the remainder when 69 is divided by j.
15
Let y(x) = -x**3 - 4*x**2 - 5*x - 12. Suppose -53 = 5*c + 187. Let s = c - -68. Calculate the remainder when y(-5) is divided by s.
18
Let v = 26 - -34. What is the remainder when v is divided by 32?
28
Let l(u) = -u - 5. Let t = 6 + -4. Suppose t*a = a + 8. Calculate the remainder when a is divided by l(-8).
2
Suppose -4*x = 3*y - 161, -x - 57 = -y - 3*x. What is the remainder when y is divided by (48/2)/(2 + -1)?
23
Suppose -2*j = -2, -3*w + j + 0*j - 133 = 0. Let c = -26 - w. What is the remainder when c is divided by 10?
8
Suppose 7 = -g + 2*x - 3, -2*g = -x + 8. What is the remainder when 40 is divided by ((-7)/(-21))/(g/(-84))?
12
Suppose 0 = -2*k + 2*y + 3*y + 73, 4*k = -5*y + 161. What is the remainder when k is divided by 14?
11
Suppose 0 = 4*f - 226 + 46. Calculate the remainder when f is divided by 24.
21
Let s(k) = 2*k**2 - 10*k + 15. What is the remainder when s(7) is divided by 11?
10
Let x = 12 - 0. Let m = -6 + x. Suppose -m*v - d = -11*v + 31, 2*d + 27 = 5*v. Calculate the remainder when 25 is divided by v.
4
Suppose -2*o - 19 = -99. Let t(m) = -4*m + 5. What is the remainder when o is divided by t(-4)?
19
Suppose 0 = h - 41 - 33. Calculate the remainder when h is divided by 25.
24
Let s = 9 + -4. Let z = s + -2. Calculate the remainder when z is divided by 2.
1
Let f(z) = 0*z + 7 - 2*z + 3*z. Let i be f(-8). What is the remainder when i/((-20)/19 + 1) is divided by 7?
5
Let m(y) = y**3 - y**2 + 12. What is the remainder when 21 is divided by m(0)?
9
Suppose -2*c - 5*m + 5 + 5 = 0, 4*m = -16. What is the remainder when c is divided by 5?
0
Let b = -10 + 19. Let x = -6 + b. Suppose -4*l + 173 = -x. What is the remainder when l is divided by 15?
14
What is the remainder when 113 is divided by 12/(-18) - 178/(-6)?
26
Let h = 11 - -2. Calculate the remainder when 48 is divided by h.
9
Let l(t) = -4*t + 9. Suppose 3*i - 35 = 5*u + 9, -u = -5*i. Calculate the remainder when l(u) is divided by 17.
15
Let i(v) = -v**2 - 9*v + 1. Calculate the remainder when i(-4) is divided by 33/(-9)*(-5 + 2).
10
Suppose 15 = 2*w + w. Suppose -w*s = -2*s - 27. Suppose -32 = 76*l - 84*l. Calculate the remainder when s is divided by l.
1
Let t = 8 - 10. Let y(c) = -7*c**3 - 3*c**2 - 3*c - 3. What is the remainder when y(t) is divided by 24?
23
Let b = 19 - 8. What is the remainder when 30 is divided by b?
8
Let d(m) = m**3 + 7*m**2 - 6*m + 2. Calculate the remainder when d(-6) is divided by (-1)/(2/(-2))*19.
17
Let z = 5 - 3. Let t = z - -2. Calculate the remainder when t is divided by 2.
0
Let l(f) be the third derivative of -f**6/120 + f**5/12 - f**4/12 - 5*f**3/6 - 3*f**2. What is the remainder when 3 is divided by l(4)?
0
Suppose -3*o - 3*f - 58 = -f, o + 12 = 3*f. Let h = o + 23. Calculate the remainder when 19 is divided by h.
4
Suppose u - 2*s - 1 = 16, -5*s = -4*u + 77. Calculate the remainder when 66 is divided by u.
20
Suppose -4*f + 490 = 114. What is the remainder when f is divided by 32?
30
Let a(l) = 4*l + 5. What is the remainder when (0 - -3)/9*186 is divided by a(4)?
20
Suppose 4*t + 14 = 3*h + 2*t, 0 = h - 5*t - 9. Calculate the remainder when (-45 + h)/(1 - 2) is divided by 14.
13
Suppose -2*y = -y, 3*h - 30 = -5*y. Let l = h + -6. Let b(t) = t**3 - 3*t**2 - 2*t + 2. What is the remainder when 29 is divided by b(l)?
9
Suppose 0 = -3*j + 4*b + 2 - 10, -5*b + 10 = -4*j. What is the remainder when 3 - (3 + 0 + -2 - 3) is divided by (1 + j)/1 - -1?
1
Let h(f) = f**2 + 2*f + 2. Let t = 3 + -1. What is the remainder when h(-2) is divided by t?
0
Let x = 19 + -9. Suppose 0 = -v - 1, -185 = -5*q + v - 6*v. What is the remainder when q is divided by x?
8
What is the remainder when 89 is divided by 3/((0 + 1)/((-15)/(-3)))?
14
Suppose 0 = s + 5*w + 20, 6*s - w = 3*s - 12. Let o(a) = -a - 5. Let h be o(s). Let y = h + 10. What is the remain