is the remainder when i is divided by 6?
5
Suppose 3*o - 300 = -3*n, -o = o - 2*n - 216. Calculate the remainder when o is divided by 7.
6
Let z = 3 - 5. Let q = z - 2. Calculate the remainder when 47 is divided by 36/2 - q/(-2).
15
Suppose -7*t = -4*t - 24. Let q = -23 + 7. What is the remainder when 2/(-8) + (-372)/q is divided by t?
7
What is the remainder when (170/1)/5 - -1 is divided by 13?
9
Let h(m) = 14*m**2 + 1. Let s be h(-1). Let t(v) = v. Calculate the remainder when 66/s - (-6)/(-15) is divided by t(3).
1
Let s = 0 - -6. Let r(k) = -k**3 + 6*k**2 + 1. What is the remainder when 1 is divided by r(s)?
0
Let z(j) = -j + 6. Let t be z(4). Suppose -o - 2 = -12. Calculate the remainder when 13 is divided by (5/2 - t)*o.
3
Suppose -7*n = 5 - 271. What is the remainder when n is divided by 13?
12
Let i(w) = -14*w**3 + 2*w + 1. Suppose 4*l = -l + 4*x - 5, 4*x = -3*l - 3. What is the remainder when 24 is divided by i(l)?
11
Suppose 0 = 3*s + 2*s - 20. Suppose -89 = -s*i + 39. Let w = 52 - i. What is the remainder when w is divided by 7?
6
Let l(v) = v**3 + 6*v**2 + 6. Suppose -5*q + 6 = 36. Calculate the remainder when l(q) is divided by 4.
2
Let o(a) = -2*a + 2. Let l be o(5). Let u = -8 + 19. Calculate the remainder when l/(2/(8/(-1))) is divided by u.
10
Let c be (8/3)/((-6)/(-9)). Let n(m) = m**2 + m - 33. What is the remainder when n(8) is divided by 14/(-2)*c/(-2)?
11
Suppose 6*o - 2*o - 8 = 0. Suppose -1 = -3*l + 5. Suppose -o*h + l = -22. What is the remainder when 47 is divided by h?
11
Suppose -2*o = 2*y - 18, 0 = -o + 4*o + 4*y - 23. Calculate the remainder when 21 is divided by o.
8
Let t = -58 - -111. Calculate the remainder when t is divided by 28.
25
Let k(c) = c**3 + 9*c**2 + 7*c - 1. Suppose 0*s + 2*s - 2 = 0. Suppose -4*n - 3*z = s + 11, n + 5*z - 14 = 0. What is the remainder when k(n) is divided by 17?
14
Let z(y) = -3*y - 11. Let j(b) = -9*b - 32. Let m(d) = 3*j(d) - 8*z(d). What is the remainder when 5 is divided by m(-4)?
1
Let x = -8 - -13. Suppose 4*w - 5*d - 6 = -0*d, -2*w + 5*d = 2. Calculate the remainder when x is divided by w.
1
Let b(u) = u**3 - 6*u**2 - 8*u + 5. Let j be b(7). Let o = j + 3. What is the remainder when (-6 - -34)/(o - 0) is divided by 10?
8
Let t(f) = -f - 1. Let b be t(-4). Suppose l + 6 = b*l. Let n(h) = h**3 + 7*h**2 + 7*h + 10. What is the remainder when n(-6) is divided by l?
1
Let o(n) = -3*n + 6. Let y(d) = 2*d - 4. Let k(i) = -5*o(i) - 7*y(i). Let p = -1 + 6. Calculate the remainder when k(p) is divided by 2.
1
Let j(r) be the third derivative of r**6/120 + r**3/3 + 7*r**2. What is the remainder when 5 is divided by j(0)?
1
Let f = -6 - -17. Let u(n) = 2*n + 16. Calculate the remainder when u(f) is divided by 14.
10
Suppose -2*m + 5*m + 4*w - 34 = 0, 0 = -w + 4. Suppose 2*o = -3*g - 0*g + 22, -m = g - 2*o. What is the remainder when 13 is divided by g?
1
Let r(i) = 5*i**2 + 4*i + 2. Let l be r(-3). Let h = l + -4. Calculate the remainder when h is divided by 16.
15
Suppose -35 = 3*n - 98. Calculate the remainder when n is divided by 8.
5
Suppose 5*x - 638 = -198. What is the remainder when x is divided by 30?
28
Suppose 30 = 3*m - 4*f - 8, m - f = 13. What is the remainder when 21 is divided by m?
7
Let z = 56 - 30. What is the remainder when z is divided by 4?
2
Suppose 6*u - u = -10, -5*g = -4*u - 8. Suppose g*o + 26 = -2*o. Let i = o + 26. What is the remainder when 50 is divided by i?
11
Let p(k) = -2*k**2 + 8 + 3*k**2 - 7 - k. What is the remainder when p(5) is divided by 12?
9
Let p = 186 + -133. What is the remainder when p is divided by 14?
11
Calculate the remainder when 11 is divided by (12/18)/((-4)/(-42)).
4
Let o = -20 + 22. Suppose 0 = -y - 0 + 2. Calculate the remainder when o is divided by y.
0
Let n = 157 + -70. Calculate the remainder when n is divided by 11.
10
Let l(u) = 2*u**2 - 2*u + 2. Suppose 2*n = -5*w + 45, 0*w - w + 5*n = -9. What is the remainder when l(-3) is divided by w?
8
Let v be (306/8)/(9/72). What is the remainder when 65 is divided by (2/3)/(12/v)?
14
Suppose -4*a - a + 245 = 0. What is the remainder when a is divided by 14?
7
Let s(y) = -y - 4. Let c be s(-5). Let k = c - 1. Suppose 4*x + k = 4. What is the remainder when 2 is divided by x?
0
Let o(j) = 2*j**2 + 2*j. What is the remainder when 21 is divided by o(2)?
9
Calculate the remainder when (32/3)/((-46)/(-69)) is divided by 7.
2
Let w be ((-80)/15)/(2/(-6)). Let a = w + -11. Calculate the remainder when 14 is divided by a.
4
Let j = 32 + -16. Let x = j - -1. What is the remainder when 33 is divided by x?
16
Suppose -6*y + 2*y - 420 = 0. Suppose -3*k + 3*i = -41 + 11, 4*k = -5*i - 5. What is the remainder when 8/10*y/(-6) is divided by k?
4
Suppose 2*w - 16 = 5*j, -3*j = 5*w + 2*j - 110. Suppose n + 16 = 5*c - 18, 4*n = -2*c + w. Calculate the remainder when 26 is divided by c.
5
Suppose -z + 472 = 4*i + 91, -5*z + 5 = 0. What is the remainder when i is divided by 12?
11
Suppose 2 = j - 2. Let m be (3/(-2))/(3/(-6)). Suppose 14 = m*i - 16. Calculate the remainder when i is divided by j.
2
Let s = -26 - 18. Let f = 13 - s. What is the remainder when f is divided by 15?
12
Suppose -2*u - 2*x = -30, 0 = 4*u - 3*u + 3*x - 7. Calculate the remainder when u is divided by 7.
5
Calculate the remainder when 35 is divided by 2 - 0 - (-12 + 4 - 2).
11
Let r = -5 - -11. Suppose 0 = 5*f + 10, 0*c = c - 3*f - 28. What is the remainder when c is divided by r?
4
Let b(c) = -c**3 - 7*c**2 - c - 4. Let r be b(-7). Let v be ((-1)/1)/1 + r. Calculate the remainder when 14 is divided by v - 1 - (-6 - -3).
2
Let o be (-4)/10 - (-18)/(-5). Let x = o - -7. Suppose d - x = 10. Calculate the remainder when 37 is divided by d.
11
Let s = 27 - 6. Suppose -5*n + 24 = -s. Suppose -4*t + n*t - 25 = 0. Calculate the remainder when 8 is divided by t.
3
Suppose 9 = 2*m - 1. Suppose -y + 3*y + 2*g = 24, -4*g = -m*y + 24. Let d(n) = -n**2 - 7*n - 3. Calculate the remainder when y is divided by d(-6).
2
Suppose -12 = -0*j - 3*j. Suppose 2*k - 36 = -2*z, 3*z = -3*k + j*z + 46. Calculate the remainder when 63 is divided by k.
15
Suppose -9*z = -5*z - 76. Let q = z + 36. Calculate the remainder when q is divided by 14.
13
Let l(w) = 4*w**2 + 3*w. Let b be l(-3). Suppose -m - 2*m = -b. Calculate the remainder when 52 is divided by m.
7
Let d = -27 + 35. What is the remainder when 22 is divided by d?
6
Suppose j + 0*j = 0. Suppose -14 = -4*t - 3*f + 11, -4*t - f + 27 = j. What is the remainder when 25 is divided by t?
4
Let t(f) = f**3 - f**2 - f + 40. Let w be t(0). Suppose -j + 8 = -w. Calculate the remainder when j is divided by 17.
14
Suppose 4*f + 33 - 101 = 0. Calculate the remainder when 66 is divided by f.
15
Let n = -3 - -11. Calculate the remainder when 21 is divided by n.
5
Suppose -r = -5*r + 132. What is the remainder when r is divided by 13?
7
Suppose -41 = -3*q - 0*q + 4*w, -5*w - 25 = 0. Let n = q - 0. Suppose 4*s - 15 + n = 0. What is the remainder when 3 is divided by s?
1
Let o = 6 + -4. Suppose 4*y - 5*n - 45 = -o, -4*y + 37 = -3*n. Calculate the remainder when 16 is divided by (-2)/y + 130/14.
7
Calculate the remainder when 1 + 1 + -3 + 19 is divided by 7.
4
Let z(n) = n + 2. Let v be (20/(-8))/(1/(-2)). Suppose 3*o - 12 = q + 2*q, v*q + 8 = 2*o. What is the remainder when 4 is divided by z(q)?
0
Let v = -16 - -42. Suppose k - v + 1 = 0. Calculate the remainder when 99 is divided by k.
24
What is the remainder when (-905)/(-20) + 12/16 is divided by 16?
14
Let o(j) = 15*j**2 - 3*j. Suppose -5*s + 4*s = -2. What is the remainder when o(s) is divided by 1/4 - 150/(-8)?
16
Suppose 2*q = -q + 117. Calculate the remainder when 76 is divided by q.
37
Suppose 4*y - 5*y = 30. What is the remainder when 17 is divided by (4/5)/((-4)/y)?
5
Let f(i) = -i**3 - 7*i**2 - i + 16. What is the remainder when 67 is divided by f(-7)?
21
Let w = 14 - 6. Calculate the remainder when 2/(4 - (-220)/(-56)) is divided by w.
4
Let w = -18 + 34. Let b(x) = 7*x**2 + 7*x + 3. Calculate the remainder when b(-3) is divided by w.
13
Suppose -3*s + 2*g - g + 97 = 0, -2*g - 34 = -s. Let m = 8 - s. What is the remainder when 61 is divided by (1 - 7)/(9/m)?
13
Let v = 5 + -3. Suppose h = -h + v. Suppose 8 = 2*o + 5*d, 0 = o + 3*d + d - h. Calc