en x is divided by 11?
5
What is the remainder when 15 is divided by (49 + -46)*(-1 + 4)?
6
Suppose 3*v - 4*c = -0*v + 63, 0 = 4*v - 5*c - 83. Suppose -v - 4 = -7*g. Calculate the remainder when 6 is divided by g.
0
Suppose 0 = -2*g + 4 + 2. Suppose 0 = 4*o - g*o - 59. Let s = -2745 - -2760. What is the remainder when o is divided by s?
14
Let i(k) be the second derivative of -20*k**3/3 - k**2 - 8*k. What is the remainder when i(-3) is divided by 30?
28
Suppose 0 = -4*q, 3*x - 8*q - 87 = -5*q. What is the remainder when 141 is divided by x?
25
Suppose 17 = 4*i + 5. Suppose -9 = -i*b - 0*b. Let h = 11 + b. Calculate the remainder when 54 is divided by h.
12
Suppose -3*y + 14 = 4*q, -3*q + 2*y + 2 + 0 = 0. Suppose 3*h - q*p - p - 6 = 0, 0 = 5*h + 2*p - 45. Calculate the remainder when h is divided by 5.
2
Suppose 4*t - 3*g = 82 - 7, 0 = 5*g + 25. Suppose -5*c + 4*j - t = -j, 0 = 5*c - 4*j + 13. Calculate the remainder when 165/3 + 3/c is divided by 18.
16
Suppose 0*z = -z - 4*k + 15, -5*k = -20. Let w be z/(-4) - (-72)/(-32). What is the remainder when (31 - w)*(-15)/(-9) is divided by 19?
17
What is the remainder when (-20536)/(-20) + 162/(-90) is divided by 21?
17
Suppose -2*v + 5*c = -6*v + 172, 4*v - 3*c = 140. Let k = -19 + v. Suppose 946 + 167 = 21*w. What is the remainder when w is divided by k?
15
Let c = -2051 + 3167. Calculate the remainder when c is divided by 28.
24
Let w = -90 - -106. Calculate the remainder when 29 is divided by w.
13
Suppose 99*j - 96 = 96*j. Calculate the remainder when 41 is divided by j.
9
Let s = -7 - -9. Suppose -m + s + 1 = 0. Suppose 2*r - 38 = -5*x, -2*r + 22 = -5*x + 6*x. What is the remainder when r is divided by m?
0
Let y be ((-8)/6)/(3/(-9)). Suppose -t = 4*m - 20, -2*m = -3*m + y. Calculate the remainder when (t/2)/((-14)/(-497)) is divided by 18.
17
Suppose -3*b = 9, -5*o + b - 139 = -7*o. Calculate the remainder when 422 is divided by o.
67
Let u(h) = 6*h**2 + 4*h + 20. Calculate the remainder when u(-5) is divided by 39.
33
Let v(a) = -2*a + 10. Suppose -3*r = -3*z - 6, -3*r + 24 = -5*z - 5*r. What is the remainder when 69 is divided by v(z)?
15
Let g be 1*(3 - 6) + 8. Suppose -20 = -g*r + 4*r. Suppose -m - 4*m = -r. Calculate the remainder when 19 is divided by m.
3
Let m(j) = j**2 + 58*j - 189. What is the remainder when m(-64) is divided by 98?
97
Let t = 227 - 180. Calculate the remainder when t is divided by 15.
2
Let k(s) = s + 44. Let w be k(-8). Let l = 62 + -37. Let d = w - l. Calculate the remainder when d is divided by 6.
5
Let l = -86 - -122. Suppose o = -0*o - l. Calculate the remainder when 42 is divided by ((-12)/o)/(1/33).
9
Let y(w) = -60*w + 1. Let s be y(-1). Let o = s + -36. Suppose -4*a = -a - 27. What is the remainder when o is divided by a?
7
Let o = 960 - 833. What is the remainder when o is divided by 21?
1
Let j(z) = z**2 - 31*z + 68. Calculate the remainder when 728 is divided by j(29).
8
Suppose -3*b = 5*y - 34, 3*y - 54 = -3*b - 12. Suppose -3*p - q = -27, -2*q = 2*p - q - b. What is the remainder when 4/(-12) - (-48)/p is divided by 2?
1
Suppose 5*z - 8*z - 63 = -2*u, -5*u = -2*z - 163. Calculate the remainder when 360 is divided by u.
30
Suppose -31 = -3*l - 100. Let h = 33 + l. Calculate the remainder when 34 is divided by h.
4
Suppose -4*v + 2*v = -36. Calculate the remainder when 70 is divided by v.
16
Let i(y) = -y**3 + 6*y**2 - 2*y - 4. Suppose -15 - 5 = 4*d, o = 4*d + 59. What is the remainder when o is divided by i(5)?
6
Suppose n - 74 = 3*c, 21*n - 18*n - 5*c = 234. What is the remainder when n is divided by 21?
20
Let s = -865 - -916. What is the remainder when 152 is divided by s?
50
Let w(q) = -q**2 + 8*q - 7. Let b be w(2). Let s = b + -12. Let c = 8 - s. What is the remainder when c is divided by 4?
3
Let m = -65 - -68. Suppose m*u = -9*g + 5*g + 89, -2*u - 2*g + 56 = 0. Calculate the remainder when 91 is divided by u.
22
Let h(t) = t**3 + 11*t**2 - 31*t - 39. Suppose 0 = 6*g - 7*g + 14. Calculate the remainder when h(-13) is divided by g.
12
Suppose -15*b + 9 = -14*b. Suppose 402*s + 474 = 408*s. What is the remainder when s is divided by b?
7
Let v(b) = b**2 + 10*b - 31. What is the remainder when 72 is divided by v(4)?
22
Suppose -y + 2*q + 65 = 7*q, 118 = 2*y + 4*q. Let v = 30 + -11. Calculate the remainder when y is divided by v.
17
Let m(x) = -x**2 - 4*x + 3. Suppose -4*g - 19 = -3. Let w be m(g). Suppose k = -w*t - k + 66, 0 = -t - 5*k + 35. What is the remainder when t is divided by 11?
9
Let o = 18 + -5. Let n = 17 + 7. What is the remainder when n is divided by o?
11
Let a = -3 + 7. Suppose o = -3, 0 = -a*i + o + 19 + 12. Let f(d) = -25*d**3. What is the remainder when f(-1) is divided by i?
4
Suppose -6*k = -2*k. Suppose -p - 568 = -k*p - 2*c, -548 = p + 3*c. Calculate the remainder when (p/(-24))/((-2)/(-3)) is divided by 12.
11
Let a = -7 + 242. Calculate the remainder when a is divided by 48.
43
Suppose -18*p - 42 = -21*p. Let r(m) = 13*m**2 - m. Calculate the remainder when r(-2) is divided by p.
12
Let q = 248 - 107. What is the remainder when q is divided by 48?
45
Let m = -124 - -148. What is the remainder when m is divided by 12?
0
Let u(j) = j**2 - j + 3. Let r be u(2). Suppose -y + r = -39. Let p = y + -37. Calculate the remainder when 25 is divided by p.
4
Let a = -22 + 51. Let p = -18 + a. Calculate the remainder when p is divided by 7.
4
Let j be 2/10 + (-2 - (-370)/25). Suppose -r + j = -16. What is the remainder when r is divided by 12?
5
Let b(h) = -3*h. Let w be 2/(-4)*4/1. Let d = 7 - w. Calculate the remainder when d is divided by b(-2).
3
Let u(z) = -z**3 + 32*z**2 + 71*z - 84. Calculate the remainder when 98 is divided by u(34).
8
Suppose -4*i = -d + 44, 6*d = d + 4*i + 204. Suppose d = -7*q + 11*q. What is the remainder when 38 is divided by q?
8
What is the remainder when 69 is divided by (-36)/(-1 + 0/(-3 - 1))?
33
What is the remainder when 1/(-4) + 89/4 is divided by 45/(-30)*-2*(5 + -3)?
4
Suppose 47*w = 18*w + 812. Calculate the remainder when w is divided by 11.
6
Calculate the remainder when (81/189)/(4*3/2268) is divided by 20.
1
Suppose 4*c + 3*t - 15 = 7*c, -t + 5 = -5*c. Suppose c = 13*a - 17*a + 24. What is the remainder when 107 is divided by a?
5
Suppose 5*k + f = 4*f - 228, -28 = k - 5*f. Let x = 54 + k. Calculate the remainder when x is divided by 2.
0
Let r be 2/(-3)*(6 + 105/7). What is the remainder when ((-12)/14)/(r/49) - -26 is divided by 5?
4
Suppose -10 = 2*d, 3*y - 2*d - 3 = 13. Suppose y*h + 138 = 2*w, -3*h + 117 + 78 = 3*w. Calculate the remainder when w is divided by 10.
7
Let m = 1196 + -756. What is the remainder when m is divided by 89?
84
Calculate the remainder when 174 is divided by 4*55/((-60)/(-12)).
42
Let g(k) = k**3 + 19*k**2 + 78*k + 8. What is the remainder when 17 is divided by g(-6)?
1
Suppose -5*s = 336 - 1096. Suppose 6*a = a + 55. What is the remainder when s is divided by a?
9
Let f = -140 - -187. Let i = 19 - 13. What is the remainder when f is divided by i?
5
Suppose 20 = 5*u, -3*g + 28 = 2*g - 3*u. Calculate the remainder when 125 is divided by g.
5
Let i = -700 + 775. What is the remainder when 184 is divided by i?
34
Let q(p) = -8*p + 126. Let f(s) = 2*s**2 + 2*s - 9. Let h be f(8). Suppose 2*z + 3*z = h. Calculate the remainder when z is divided by q(14).
13
Let k(n) = -n**2 + 3*n + 92. Calculate the remainder when 300 is divided by k(-6).
34
Suppose 5*p - 5*o - 50 = 0, 0 = 2*p + 5*o + 1. Suppose 3*s + 3 = -9, 2*s - 10 = -2*r. What is the remainder when r is divided by p?
2
Let r = -154 + 200. Calculate the remainder when r is divided by 38.
8
Calculate the remainder when -5 - ((-11)/55 + (-324)/5) is divided by 46.
14
Suppose 2*o - 535 - 10 = 3*n, -9 = -3*n. Calculate the remainder when o is divided by 30.
7
Let b = -18 - -28. Let n = -3 + b. Calculate the remainder when n is divided by 4.
3
Let b be (0 + (-4)/(-12))*9. Suppose 0*i - b*i + x = -50, -x + 4 = 0. Let f(u) = 72*u**2 + 3*u + 2. Calculate the remainder when f(-1) is divided by i.
17
Let s = 85 - 82. Suppose 4*d - 4*m + 16 = 60, -5*d + s*m = -61. What is the remainder when 80 is divided by d?
10
Suppose b - 5 = -g - 0, -4*b = 3*g - 16. Let a(v) = 5*v**2 + 3*v - 1. What is the remainder when 47 + (0 - g/