 3*i**2 + 4*i - 2. What is the remainder when v(3) is divided by 6?
4
Suppose 3*i - 288 = -i. Calculate the remainder when 10/(-35) - i/(-7) is divided by 3.
1
Suppose -8 = -8*w + 9*w. Calculate the remainder when (-1)/4 + (-666)/w is divided by 28.
27
Let w = 42 + -15. Suppose -y + 3*m + 39 = 2*y, -5*m = 2*y - 33. What is the remainder when w is divided by y?
13
Suppose -u = -3*x + 7, -8*x + 3*x + 15 = 0. Let v be -2 - 2*u/(-1). Suppose 27 = v*n - 0*n + 5*r, 5*n + r = 79. What is the remainder when 30 is divided by n?
14
Let u = 13 + -7. Suppose t + 2*t = u. Suppose t*s = r - 52, -2*s + 0*s + 40 = r. Calculate the remainder when r is divided by 12.
10
Suppose 5*p - 4 - 11 = 0. Let x = 75 - 73. Calculate the remainder when p is divided by x.
1
Let z(k) = 3*k**3 - k**2 + k - 1. Calculate the remainder when z(1) is divided by 2.
0
Let k = 10 + -9. What is the remainder when (4/12)/k*201 is divided by 14?
11
Suppose 4*x + x + 112 = 4*o, 5*x = 5*o - 145. What is the remainder when o is divided by 12?
9
Suppose 55 = 5*b + 5*m, 10*b - 8*b - 22 = m. Calculate the remainder when (4 - 0)/(4/32) is divided by b.
10
Let t(n) = -n**3 + 16*n**2 + 37*n + 18. What is the remainder when 214 is divided by t(18)?
34
Let i(z) = z**2 - 8*z + 12. Calculate the remainder when 23 is divided by i(7).
3
Suppose -2*i + 410 = 8*i. Calculate the remainder when i is divided by 7.
6
Suppose 3*q - h - 218 = -q, -2*q = 4*h - 100. Let x = -79 - -105. Suppose -2*t + q = -x. Calculate the remainder when t is divided by 14.
12
Suppose 2*i - 52 = -10. Let u = i + 5. Suppose -15 - 5 = -2*s + 2*y, y - u = -3*s. Calculate the remainder when 16 is divided by s.
7
Let i(k) = -k**2 + 23*k + 31. Let d(o) = -2*o**3 - 3*o**2 + 5*o + 4. What is the remainder when i(23) is divided by d(-3)?
15
Suppose -372 = -29*o + 23*o. What is the remainder when 244 is divided by o?
58
Suppose -q + 5 = 2*n - 0, 0 = -5*n + q + 23. Suppose 2*l = n*d - 30, -6 = 5*d + l - 33. What is the remainder when 16 is divided by d?
4
Let y = 32 + 2. What is the remainder when y is divided by 12?
10
Let a = 1 + 22. Calculate the remainder when 67 is divided by a.
21
Let s(k) = k**2 - 7*k + 7. What is the remainder when 55 is divided by s(8)?
10
Let w(v) = v**2 - 6*v - 5. Calculate the remainder when w(-3) is divided by 8.
6
Let i(l) = 5*l - 15. What is the remainder when 48 is divided by i(8)?
23
Let z(p) = 7*p**2 - 5*p + 4*p - p**3 - 3*p - 5. Let b(v) = -v**3 + 3*v**2 - v + 7. What is the remainder when z(6) is divided by b(3)?
3
Suppose -41 = -5*y + 74. What is the remainder when 59 is divided by y?
13
Let p = -4 - -6. Suppose -p*q = -3*q + 9. Let u(v) = -v**2 - 10*v - 4. Calculate the remainder when u(-7) is divided by q.
8
Suppose 0 = -5*d + 25, 0 = -4*k + 3*k - 3*d + 18. Suppose 0 = k*u - 0*u - 30. Calculate the remainder when (-2)/(-5) - (-316)/u is divided by 11.
10
Let q(c) be the first derivative of -c**2/2 - c + 2. Calculate the remainder when (-40)/(-4)*2/5 is divided by q(-3).
0
What is the remainder when 72 + (-3)/(-3)*-1 is divided by 18?
17
Suppose 3*z - 1 - 2 = 0. Let s be (-1)/(1/(-3)*z). Suppose 0 = -l + s, -a + 2*l = -2*a + 16. What is the remainder when a is divided by 4?
2
Let c = 4 + 0. Suppose -c = x - 13. Calculate the remainder when x/(-6)*148/(-6) is divided by 13.
11
Suppose -3*q = 2*q - 10. Suppose 0 = 5*r - q*r - 9. Let x = 3 + -1. Calculate the remainder when r is divided by x.
1
Suppose 3*m + 2*m = 5*q + 45, -5*m - 2*q + 24 = 0. Suppose 5*r = -8 + 93. What is the remainder when r is divided by m?
5
Suppose 7*a - 4*a - 84 = 0. Let x = a + -26. Suppose -4*s + 3 = -s. Calculate the remainder when x is divided by s.
0
Let u = -72 + 81. Calculate the remainder when 3*(40/6 + -1) is divided by u.
8
Let n(t) = 18*t - 1. Calculate the remainder when n(4) is divided by 24.
23
Suppose -250 = -5*l - 2*u - 3*u, -4*u = 5*l - 253. Suppose 5*b - l = -3*j + 95, 1 = j. Let d = 8 + 2. What is the remainder when b is divided by d?
9
Suppose 0 = -5*t + 5, 0 = -g + 23*t - 19*t + 110. Calculate the remainder when g is divided by 13.
10
Suppose 0*u - 3*u + 232 = 5*t, 2*t + 2*u - 92 = 0. Calculate the remainder when 137 is divided by t.
43
Suppose 6*u - 3*u - 12 = 0. Let i(d) = -3*d + 2 - 2 - 1. What is the remainder when u is divided by i(-1)?
0
Let x(f) = -22*f - 3. Let j = -2 - 0. What is the remainder when x(j) is divided by 11?
8
Suppose 14*g = 19*g - 210. Calculate the remainder when g is divided by (1/(-1))/((-2)/22).
9
Let f = 1 + -2. What is the remainder when (-6)/18*(-88 + 1) is divided by (f/2)/(2/(-32))?
5
Suppose 4*l = 18 + 18. Calculate the remainder when 32 is divided by l.
5
What is the remainder when ((-62)/6)/(1 + (-16)/12) is divided by 18?
13
Let f(s) = -s**2 - s + 1. Let w be f(0). Suppose 0 = -5*t - 9*a + 4*a + 25, -a + 13 = 2*t. What is the remainder when t is divided by -2*(w - 5/2)?
2
Let z = 14 + 35. Calculate the remainder when z is divided by 17.
15
Let q(w) = -w**3 - 7*w**2 - 6*w + 3. Let u be -6 - 0 - (2 - 1). What is the remainder when q(u) is divided by 22 + -4 + (3 - -2)?
22
Let d be (2 - -3) + 9/(-3). Calculate the remainder when 2*((-33)/(-2) + -1) is divided by (-4)/6*d*-12.
15
Suppose -3*o + 5*i + 8 = 0, -3*o + 4*i = -0*i - 10. What is the remainder when 28 is divided by o?
4
Suppose 8*r = 14*r - 6. What is the remainder when r is divided by 1?
0
Suppose -4*a - 2*i + 19 = 7, -12 = -4*a + 4*i. What is the remainder when 4 is divided by 1 - (0 - 3/a)?
0
Let j be ((-2)/(-2))/((-4)/(-8)). Suppose -j*c + 34 = -c + 2*x, -4*x = -12. Calculate the remainder when c is divided by 10.
8
Suppose 5 = 4*v + v. Calculate the remainder when (4/((-8)/(-162)))/v is divided by 28.
25
Suppose 4*d - 38 = -r, d - 20 = -3*d. Suppose -3*u + 46 = -56. Calculate the remainder when u is divided by r.
16
Let d = 2 - 0. Calculate the remainder when d*1 + (10 - -3) is divided by 6/(-4)*16/(-3).
7
Suppose b = -4*g - 5, -g + 4*b = -8 - 12. What is the remainder when (0 - -21) + g/6 is divided by 12?
9
Let z be 44/8 + (-2)/(-4). Let v(f) = -f**3 + 8*f**2 - 3*f - 8. Let j(q) = -q**3 + 5*q**2 + 2*q + 6. Calculate the remainder when v(z) is divided by j(5).
14
Suppose -1 = -y - 3*m - 2*m, 2*y - 32 = -4*m. Calculate the remainder when 50 is divided by y.
24
Suppose 4*v - 2*r + 18 = 5*v, 0 = -4*r. What is the remainder when 71 is divided by v?
17
Let s = 16 + -20. What is the remainder when 47 is divided by (-3 + s)*(-24)/14?
11
Let h = 8 - 4. Suppose 2*v + 3 - 1 = h*n, 4*n + 3*v = 7. Let k = 4 - 3. What is the remainder when k is divided by n?
0
Suppose -41 = -5*d - 6. Calculate the remainder when d is divided by 3.
1
Let s(b) = b**3 + 7*b**2 + 4*b - 7. Calculate the remainder when 43 is divided by s(-5).
20
Let c = 13 - -18. What is the remainder when c is divided by 11?
9
Let i be 3/(-6*(-4)/152). Let h(w) = 10*w**2 - w - 1. Let g be h(2). Let d = g - i. What is the remainder when d is divided by 10?
8
Let v be (25/10)/(2/4). Suppose 0 = -v*n + 121 + 9. What is the remainder when n is divided by 7?
5
Let k(s) = 13*s + 9. What is the remainder when k(5) is divided by 25?
24
Let w = 27 - -16. Calculate the remainder when w is divided by 11.
10
Let k = 20 + -13. Suppose -3*r - 2*q = -15, 4*r = 5*r - 3*q - 5. Calculate the remainder when k is divided by r.
2
Suppose -5*u - 2 = -7. Suppose 4*y - 30 = y. Calculate the remainder when u/(12/y + -1) is divided by 2.
1
Let h = 75 + -30. What is the remainder when h is divided by 16?
13
Let z be (8 + -2)*3/9. Suppose -z*p + 12 = p. Let b(r) = 5*r - 1. What is the remainder when 56 is divided by b(p)?
18
Suppose 9*c - 297 = -2*c. What is the remainder when 80 is divided by c?
26
What is the remainder when 98 is divided by 14 - 2 - 60/(-12)?
13
Let g = 53 - 45. Calculate the remainder when 30 is divided by g.
6
Suppose 3*u = 4*u. Suppose -5*w + 2*g + 102 = u, 4*w + 5*g - 96 = 3*g. Calculate the remainder when w is divided by 12.
10
Suppose -21*h = -18*h - 396. What is the remainder when h is divided by 34?
30
Suppose 5*d = 4*l + 12, -4*d + 2*l = -0 - 12. Suppose -2*o + 30 - 12 = 0. Let y = o - d. What is the remainder when 13 is divided by y?
3
Let j(z) be the second derivative of -z**5/10 - z**4/6 + z**3/3 + z**2/2 + 4*z. Calculate the remainder when j(-3) is divide