et z(c) = -c**3 - 5*c**2 - 3*c - 7. Calculate the remainder when z(-6) is divided by 15.
2
What is the remainder when (-30)/((140/5)/(-4))*7 is divided by 3/2*16/3?
6
Let s = 11 + 1. What is the remainder when 58 is divided by s?
10
Suppose -5*q + 10*q - 160 = 0. What is the remainder when 93 is divided by q?
29
Let y(t) = -t + 3*t + 0*t - 1 + 5*t. Let i be 12/9 + (-2)/6. What is the remainder when 10 is divided by y(i)?
4
Let l(g) = 4*g + 3. What is the remainder when 64 is divided by l(2)?
9
Let r(i) = -i**3 + 3*i**2 + 7*i - 9. Let c(w) = -2*w**3 + 5*w**2 + 13*w - 18. Let v(y) = -3*c(y) + 7*r(y). Calculate the remainder when 47 is divided by v(7).
11
Suppose -j + 2*l + 15 = 0, -l - 36 = -2*j + l. What is the remainder when j is divided by (-9)/(-2)*4/3?
3
Let h be -1 + 212 + (-2 - -1). Suppose -3*a = -11*a. Suppose a*t = -3*t + h. What is the remainder when t is divided by 18?
16
Let o(f) = 16*f - 1. Let v be o(1). Suppose -4*j + 5 + v = 0. Suppose j*n = 2*n + 18. Calculate the remainder when n is divided by 3.
0
Suppose -4*j + 35 = 5*k + j, 5*k - 4*j = 26. What is the remainder when 23 is divided by k?
5
Suppose 3*u + 46 = -3*d + 115, 4*u - 47 = 5*d. Calculate the remainder when u is divided by 5.
3
Let m = -5 + 8. Suppose -m*v + 7*v = -56. What is the remainder when 3 is divided by 4/v - (-92)/28?
0
Let a be (-26)/(-39)*15/2. Suppose -a*j = -8*j + 33. Suppose 3*z = 118 + 5. Calculate the remainder when z is divided by j.
8
Let w(g) = g**3 - 2*g + 3. Let s be w(2). Let i(z) = 2*z**2 + z - 1. Let y be i(1). Suppose y*f - s = f. Calculate the remainder when f is divided by 4.
3
Let x(b) = -b**2 + 2*b + 2. Let u be x(2). Let d(j) = j**3 + j + 2*j**2 - 1 - u*j - j**2. Calculate the remainder when d(2) is divided by 5.
4
Let a(x) = x**3 + 6*x**2 + 8. Calculate the remainder when a(-6) is divided by 6.
2
Suppose 5*o = 5*h - 10, 3*o - 2 = o. Calculate the remainder when 4 is divided by h.
1
Suppose 5*l = -0 + 25. Let v = l + -11. Let q = 9 + v. What is the remainder when 6 is divided by q?
0
Let x be (4/(-8))/(2/316). Let l = -52 - x. What is the remainder when l is divided by 7?
6
Let z = -4 - -4. Suppose -3*x = -z*x - 36. Calculate the remainder when 46 is divided by x.
10
Let m(g) = 0*g**2 + 4*g + 22 - 3*g - g**2 + 0*g. Suppose c + 9 - 52 = 0. Calculate the remainder when c is divided by m(0).
21
Suppose 86*n = 84*n + 6. What is the remainder when 8 is divided by n?
2
Suppose 0 = -3*l + 23 - 2. What is the remainder when 18 is divided by l?
4
Let l = 53 + -39. What is the remainder when 54 is divided by l?
12
Let b = 51 + -30. Calculate the remainder when 41 is divided by b.
20
Let x be 6 - 0/((-2)/1). Suppose 2*r + 13 = 6*z - 3*z, 0 = -3*r - x. Suppose 5*u + 4*f = 15, -f + z = 2*u - u. What is the remainder when 5 is divided by u?
2
Let y = -45 + 48. What is the remainder when 10 is divided by y?
1
Suppose -4*o = 4*j - 336, -2*o = -5*j - 0*j + 399. Let p = -28 - -56. What is the remainder when j is divided by p?
25
Let u(h) = -h**2 - 7*h + 7. Calculate the remainder when 65 is divided by u(-5).
14
Let p(n) = -n**2 - 6*n + 4. Let u be p(-6). Calculate the remainder when u/10 + (-316)/(-10) is divided by 11.
10
Calculate the remainder when 11 is divided by (-40)/(-15)*6/4.
3
What is the remainder when (-222)/(-8) + (-14)/(-56) is divided by 8?
4
Suppose 216 = -0*z + 6*z. Calculate the remainder when z is divided by 13.
10
Let s be 0 + 3 + 0 - -4. Let r(k) = -k**2 + 7*k + 3. What is the remainder when 15 is divided by r(s)?
0
Let j = 6 - 16. Let p = 12 - j. Calculate the remainder when 42 is divided by p.
20
Let z = 15 + -11. What is the remainder when 23 is divided by z/(-20) + (-62)/(-10)?
5
Suppose 225 = 5*g - 40. What is the remainder when g is divided by 14?
11
Suppose 0 = -y + 12 + 5. What is the remainder when (124/6)/((-9)/(108/(-8))) is divided by y?
14
Suppose -2*r - 186 = -8*r. What is the remainder when r is divided by 16?
15
Let r = 25 - 14. What is the remainder when 112/(-140) - (-159)/5 is divided by r?
9
Let u(g) = -g**3 - 3*g**2 - 2*g + 2. Let q be u(-4). Suppose 2*y - q = -6. Let x = -7 + 11. What is the remainder when y is divided by x?
2
Let u(p) = 10*p - 10. Let b(f) = f**2 + f - 1. Calculate the remainder when b(4) is divided by u(2).
9
Suppose 2 + 34 = -4*g. Let w = -3 - g. What is the remainder when 11 is divided by w?
5
Let n = 69 - 35. Calculate the remainder when n is divided by 2.
0
Let w(h) = 10*h + 1. Let q(d) = -d**3 + 3*d**2 + 3*d + 2. What is the remainder when w(3) is divided by q(3)?
9
Let f = -8 - -13. Let w(i) = i**2 + 3*i + 3. What is the remainder when w(-3) is divided by (-10)/(-4)*4/f?
1
Let g be (-6)/3 - (-4)/1. What is the remainder when 17 is divided by ((-2)/g)/(2/(-10))?
2
Let k = -48 - -94. Calculate the remainder when k is divided by 12.
10
Let r(j) = -12*j + 20. Let q(t) = -2*t - 4 - 3 + 6*t. Let d(h) = 17*q(h) + 6*r(h). What is the remainder when 37 is divided by d(-3)?
11
Let r(k) = -k**2 + 4*k + 2. Let n be r(4). Calculate the remainder when 4 is divided by (-14)/n*12/(-42).
0
Suppose -2*o - 11 = -33. What is the remainder when 30 is divided by o?
8
Let a = 405 + -264. What is the remainder when a is divided by 48?
45
Let w be 1/2*26/1. Let i = 30 - w. Suppose 4*o - 2*o = 12. What is the remainder when i is divided by o?
5
Let z = 55 + 11. Calculate the remainder when z is divided by 10.
6
Suppose 0 = 3*u - 5*z + 2*z - 75, -2*u - 3*z + 30 = 0. What is the remainder when 124 is divided by u?
19
Let q(x) = -x**2 + 11*x + 3. Suppose 4*w + 3 = -1. What is the remainder when (0 - -10) + (-3 - w) is divided by q(11)?
2
Suppose -3*t - 5*m = -175 + 15, t - 2*m = 35. What is the remainder when t/(-3)*10/(-3) is divided by 13?
11
Let y be (3/2)/((-12)/(-32)). Suppose -a - y*a = -20. Calculate the remainder when a/8 + (-1)/(-2) is divided by 1.
0
Let z = 62 - 28. Calculate the remainder when z is divided by 18.
16
Calculate the remainder when -2*-3*62/3 is divided by 32.
28
Calculate the remainder when 37 is divided by 9 + (-4 - (-10)/2).
7
Let z(r) = -1. Let u(y) = -y - 5. Let i(g) = u(g) - 3*z(g). Calculate the remainder when 22 is divided by i(-8).
4
Suppose x - 4 = 3. Calculate the remainder when 12 is divided by x.
5
Let i(c) = -c**3 - 5*c**2 - 7*c - 4. Let x = -21 + 27. Calculate the remainder when i(-4) is divided by x.
2
Suppose -2*n + 34 = -0. Calculate the remainder when 66 is divided by n.
15
Suppose 3*r + r + 76 = 0. Calculate the remainder when r/(2 - 9/3) is divided by 11.
8
Let r(s) = s + 11. Let v be r(-5). Let u = 30 + v. What is the remainder when u is divided by 10?
6
Suppose -5*r = -2*b + 31, 2*r - 2 = -2*b + 22. Let c = b + 7. What is the remainder when 2/(-9) + 533/9 is divided by c?
19
Let j(k) = -k + 3. Calculate the remainder when j(-6) is divided by 6.
3
Suppose -5*c - 5*b + 25 = 0, -7*c + 4*b = -5*c - 10. Calculate the remainder when 14 is divided by c.
4
Suppose -5*s + 460 = -5*q, s + 0*q - 2*q - 97 = 0. Calculate the remainder when s is divided by 30.
27
Let o = 21 - 11. What is the remainder when o is divided by 6?
4
Suppose -5*a + 4*i + 22 - 6 = 0, i - 5 = -a. Let n be 9/a*(-24)/(-9). Calculate the remainder when 10 is divided by (n/(-5))/((-2)/10).
4
Suppose -3*a - 18 = -6*a. What is the remainder when a is divided by 3?
0
Let o(n) = -n**3 + n - 2 + 75*n**2 - 70*n**2 - 2*n. Suppose 5*g - 4*u - 28 = 0, -5*u + 6 = -0*g + 4*g. What is the remainder when o(g) is divided by 4?
2
Suppose -13*o + 9*o = 0. Suppose o = -5*x - 0*x + 45. Let a(b) = -b**3 - 2*b**2 + 5*b + 3. What is the remainder when a(-4) is divided by x?
6
Let z(k) = -k + 3. Let g be z(-4). Let m = -4 + g. What is the remainder when 8 is divided by m?
2
Let k = -32 + 51. What is the remainder when k is divided by 5?
4
Suppose 4*n + 7 = 2*n + 5*o, 0 = 3*n + 2*o - 18. Let s(t) = -4*t. Let i(u) = -5*u. Let g(j) = -5*i(j) + 6*s(j). What is the remainder when g(n) is divided by 3?
1
Let u(v) = v + 8. Let d = -14 - -10. Let m = d + 15. What is the remainder when m is divided by u(-5)?
2
Let a be 42*(3 - (9 + -3)). Let i = -65 - a. Suppose 5*o = 2*j - 47, -3*j + 68 = -8*o + 3*o. Calculate the remainder when i is divided by j.
19
Let c(n) = n**2 + 5*n + 5. What is the remainder when 4/5*(-15)/(-6) is divided by c(-4)?
