Calculate the remainder when 2 is divided by k(s).
0
Suppose 4*u - 9 - 67 = 0. What is the remainder when u is divided by 5?
4
Suppose -105 - 56 = -7*a. Let h(x) = -3*x - x**2 - 4*x - 6 - 2*x. What is the remainder when a is divided by h(-6)?
11
Let t(i) = 4*i**3 - 7*i**2 + 7. Let n(m) = -m**3 + m**2 - 1. Let q(j) = -6*n(j) - t(j). What is the remainder when 55 is divided by q(2)?
17
Let a(t) = 23*t**2 - 1. Let r = -6 - -14. Calculate the remainder when a(-1) is divided by r.
6
Let v(a) = -a**2 - 8*a - 6. Let g be v(-6). Suppose g*z - 64 = 2*z. Let w = 102 - 55. Calculate the remainder when w is divided by z.
15
Suppose 9*q - 4*q - 2*j - 197 = 0, 4*q - j = 160. Let a = 6 - -8. Calculate the remainder when q is divided by a.
13
Let z(c) = c**2 - 10*c - 3. Let o be z(6). Let m = o - -43. Calculate the remainder when 29 is divided by m.
13
Suppose -k = 3*z - 23, -k - 12 = -z - z. Suppose -5*x + z = 2*u, 0 = u - 4*x + x - 31. Calculate the remainder when 61 is divided by u.
13
Let s(b) = -6*b - 14. Let c be s(-7). Let u = c + -3. What is the remainder when 47 is divided by u?
22
Suppose 2*k = 3*r + 3*k - 43, 0 = r + 5*k - 33. Suppose -24 = -14*v + 8*v. Calculate the remainder when r is divided by v.
1
Suppose t - 75 = -4*t. Let g(d) = -44*d**3 - 3*d**2 - 2*d. What is the remainder when g(-1) is divided by t?
13
Let c(p) = p**3 - 10*p**2 - 10*p - 14. Let s be c(11). Calculate the remainder when 10 is divided by (0 + 1)*(s + 6).
1
Suppose 10*i = 5*i + 75. Calculate the remainder when 58 is divided by i.
13
What is the remainder when 3 + -3*12/(-9) is divided by 3?
1
Suppose 16 = -4*l + 52. What is the remainder when l is divided by 5?
4
Suppose -2*t = -0*t - 4. Suppose 4*j - j = 6. What is the remainder when t is divided by j?
0
Let u(f) = f + 14. What is the remainder when u(-2) is divided by 3?
0
Suppose -2*n - 4*o = -52, 4*o - 90 = -5*n + 46. Calculate the remainder when 110 is divided by n.
26
Let g = 14 + -14. Suppose g = 5*i - c + 3*c - 5, -3*c - 18 = -i. Suppose 4*v = 6 + 2. Calculate the remainder when i is divided by v.
1
Let v(j) = -3*j**2 + 18*j - 1. Let p(f) = -2*f**2 + 9*f. Let r(b) = 5*p(b) - 3*v(b). What is the remainder when 48 is divided by r(-7)?
14
Let m(r) = 8*r**3 + r. Suppose -4*p + 4*t + 108 = 0, -p + 5*t - 115 = -6*p. What is the remainder when p is divided by m(1)?
7
Let y(k) = -19*k - 3. Calculate the remainder when 66 is divided by y(-2).
31
Let g(t) = 5*t**2 - 2*t - 2. Calculate the remainder when 11 is divided by g(-1).
1
Calculate the remainder when 17 is divided by (-3)/24 - (-98)/32*2.
5
Let n(x) = 3*x**3 - x**2 + 6*x - 5. Calculate the remainder when 8 is divided by n(1).
2
Let n = 1 + 9. Suppose 3*u - n = 17. Calculate the remainder when u is divided by 4.
1
Suppose -4*j + 6*j = 100. Calculate the remainder when j is divided by 20.
10
Let f(n) = 4*n - 1. Let y be f(1). Suppose y*x - 7*x = 0. Suppose x = d - 51 + 13. What is the remainder when d is divided by 20?
18
Suppose 3*w = 3*p + 25 + 53, 4 = 4*p. Calculate the remainder when w is divided by 0 - (-1 - 27)/2.
13
Let m(f) = -10 + 2*f - f + 21. Let k be m(-6). Let i = 13 - k. Calculate the remainder when i is divided by 5.
3
Suppose -74 = 5*l + 11. Let u = 55 - 29. Let v = l + u. Calculate the remainder when 26 is divided by v.
8
Let g(f) = -3*f**2 - 23*f - 10. Calculate the remainder when (30/(-8))/(2/(-8)) is divided by g(-7).
3
Let m be ((-1)/2)/((-4)/8). Suppose m = u - 1. Suppose 2*o - 16 = u. What is the remainder when o is divided by 5?
4
Let l(k) = k**2 + k + 20. Let y be l(0). Let f = 30 - y. What is the remainder when 37 is divided by f?
7
Let b(j) = j + 1. What is the remainder when 17 is divided by b(4)?
2
Let t = 23 + -8. Calculate the remainder when (-54)/(-1) - 12/(-4) is divided by t.
12
Let o(h) = 21*h**2 - 1. Calculate the remainder when o(-1) is divided by 7.
6
Let s = -3 + 17. Let b = s - 9. What is the remainder when 7 is divided by b?
2
Suppose 3*a = -3*b + 4 + 8, 5*b = -3*a + 28. Suppose -5*j = -6*j + 47. Let g = -24 + j. Calculate the remainder when g is divided by b.
7
Suppose -4*n = 12, q - n = -0*q + 41. What is the remainder when q is divided by 4?
2
Let f = 11 - -33. Suppose 2*j - 40 = 26. Suppose 21 = o - 2*s, o + s = 3*o - j. Calculate the remainder when f is divided by o.
14
Suppose 8*d - 302 = 234. Calculate the remainder when d is divided by 14.
11
Let o be 2 - -4 - (1 + 0). Let i be -8*(3 - 30/8). Let k = i + o. Calculate the remainder when 32 is divided by k.
10
Let t(d) = -d**3 - d**2 + d + 4. Let h = -4 - -4. What is the remainder when 14 is divided by t(h)?
2
Let o(y) = 13*y. Let r = 12 - 10. Let w = 14 - 0. Calculate the remainder when o(r) is divided by w.
12
Let u(t) = 3*t**3 - 39*t**2 - 26*t + 68. Let h(x) = x**3 - 13*x**2 - 9*x + 23. Let y(k) = 17*h(k) - 6*u(k). What is the remainder when y(13) is divided by 6?
4
Let y = 3 - 4. Let l be 4 + -8 - (0 + y). Calculate the remainder when l/(-9) + (-202)/(-6) is divided by 18.
16
Suppose -5*h + 17 = w - 3, 2*w = -5*h + 55. Let u(a) = -a**2 + 5. Let d be u(0). Calculate the remainder when w is divided by 8/20 + 88/d.
17
Suppose 6*d - 20 = 2*d. Let r(c) = 10*c + 11. Calculate the remainder when r(d) is divided by 16.
13
Calculate the remainder when (-2 - -4 - (5 + -1)) + 100 is divided by 33.
32
Let a be 7/((4/(-1))/8). What is the remainder when 28 is divided by ((-105)/a)/((-9)/(-12))?
8
Let q = -6 - -10. Suppose 0 = q*y - 120 - 72. What is the remainder when y is divided by 13?
9
Let q(d) = -d - 1. Let y be q(5). Calculate the remainder when (-3)/(y/(-74))*-1 is divided by 10.
7
Suppose -5*p + 77 = 2*p. Calculate the remainder when 32 is divided by p.
10
What is the remainder when (-219)/(-12) - (-1)/(-4) is divided by 10?
8
Let w(c) = -3*c - 38. Calculate the remainder when w(-16) is divided by 3.
1
Let m be 5/15 + 34/6. Let j = m + -4. Let p(n) = -n**3 - 6*n**2 + 4. What is the remainder when p(-6) is divided by j?
0
Let q(u) = u + 3. Suppose r + 3*m + 10 - 25 = 0, -5*r - 4*m + 20 = 0. Suppose 0*d = -4*d + 20. What is the remainder when d is divided by q(r)?
2
Suppose -4*g + 15 + 5 = 0. Calculate the remainder when 23 is divided by g.
3
Suppose 128 = -115*a + 123*a. Let f(p) = 62*p**2 - 1. Calculate the remainder when f(-1) is divided by a.
13
Let w(q) = q - 2. Let v(u) = -u**3 + 4*u**2 - 2*u + 4. Let k be v(3). What is the remainder when 14 is divided by w(k)?
4
Suppose -11 = -4*m + 9. Let u(y) = -y**3 - 3*y**2 - 7*y - 5. Let c be u(-5). Suppose 0*k + c = m*k. What is the remainder when 61 is divided by k?
13
Calculate the remainder when (-900)/(-10) - -1*3 is divided by 33.
27
Let j = 43 + -30. Calculate the remainder when 38 is divided by j.
12
Let f(g) = g**3 - 5*g**2 + 5*g. Let k be f(4). Suppose k*i + 4*d = 20, -4*i + 6*d = d - 38. What is the remainder when 19/(-5)*70/(-14) is divided by i?
5
Suppose -3*j = -2*j, -3*j + 21 = 3*m. Let x be 1 - ((-2)/2 - 1). Suppose -3*k + 9 = -3*i, 0*k = -x*k + 4*i + 9. What is the remainder when m is divided by k?
1
Suppose -v + 0*t + 16 = t, -4*t = v - 13. Let n = 10 + -6. Suppose 2*o = -l + 104, l - 58 = -o - n. What is the remainder when o is divided by v?
16
Let k(t) = -t**3 - 10*t**2 - 19*t - 10. Calculate the remainder when k(-8) is divided by 8.
6
Let i = -42 + 72. What is the remainder when 54 is divided by i?
24
Let a(h) = 9*h**2 - h. Let s = 3 - 0. Suppose -1 - 12 = -s*y + 5*k, -3*y = 4*k + 5. What is the remainder when a(y) is divided by 5?
3
Let o be ((-12)/(-10))/(4/100). Suppose -2*n - 14 + 49 = 3*x, -n + o = 4*x. Let d(p) = 2*p - 2. What is the remainder when n is divided by d(4)?
4
Let c(b) = -10*b - 10. Let q(r) = 9*r + 10. Let n(v) = -4*c(v) - 5*q(v). Let s be n(-9). Suppose 225 = 5*z + s. Calculate the remainder when z is divided by 20.
18
Let f(b) = b**3 - 2*b**2 - 9*b + 6. What is the remainder when f(4) is divided by 1?
0
Suppose 2*h - 13 + 1 = 2*d, 0 = d + 3*h + 10. Let j(y) = y**3 + 7*y**2 - 2*y + 1. Calculate the remainder when 28 is divided by j(d).
13
What is the remainder when 38 is divided by 7 - (-1 + 0 + -2)?
8
Suppose -7*b + 25 = -150. Calculate the remainder when 48 is divided by b.
23
Suppose -273 = -4*d + 163. Suppose d = -5*i + 324. What is the remainder when i is divided by 15?
13
Suppose -11