d by w(n).
7
Let a = -11 + 25. Let t(w) = 41*w**3 + w**2 - 1. What is the remainder when t(1) is divided by a?
13
Let v(k) = -9*k**2 + 3*k - 1. Let y be v(1). Let n = 14 + y. Calculate the remainder when n is divided by 4.
3
Suppose -p - 4*p + 86 = u, -5*p = -5*u - 80. Calculate the remainder when 99 is divided by p.
14
Let m(r) = -r**3 + 2*r**2 + 7*r + 5. Let a(o) = -6*o**2 + o - o**3 - 1 - 4 - 5*o. What is the remainder when a(-6) is divided by m(-2)?
5
Suppose 21 = 5*m - 54. Calculate the remainder when m is divided by 10.
5
Suppose -n + 2 + 11 = 2*d, 4*d = 2*n + 14. Suppose -57 = 11*h - 14*h. What is the remainder when h is divided by d?
4
Let n(w) = -33*w**2 + 2*w - 1. Let v be n(1). Let x = -1 - v. Let d(i) = i**2 - 3*i - 7. What is the remainder when x is divided by d(6)?
9
Let a = 13 - -23. Calculate the remainder when 249 is divided by a.
33
Let s(t) = -2*t**3 + 2*t**2 - 1. Suppose -4*d = -4*w + 24, -2 + 4 = -3*d - w. Calculate the remainder when s(d) is divided by 8.
7
Let a(u) = -u**3 + 4*u**2 + 3*u + 2. What is the remainder when 55 is divided by a(4)?
13
Let p(v) = v**3 - 6*v**2 + 3*v. Suppose 5*w + i - 262 = 0, -w - 4*i + 46 = -7*i. Calculate the remainder when w is divided by p(6).
16
Let c(y) = y**3 + 4*y**2 + 3*y + 2. Let o be c(-3). What is the remainder when 11 is divided by (0 - o)/(-2) + 5?
5
Suppose -142 = -4*h + 2*z, -3*h - 5*z + 89 = -h. Suppose -6*m + h = -107. Calculate the remainder when 94 is divided by m.
22
Let b(k) = -8*k. Let a be b(-3). Suppose 5*z + 15 = 40. Suppose -u = -z*u + a. Calculate the remainder when 16 is divided by u.
4
Let m(c) = -3*c - 1. Let i be (-4)/(-10)*(2 - -8). Suppose p + 5*k = i, 2*p + 3*k + 5 = 6. Calculate the remainder when 4 is divided by m(p).
0
Let q be 4 - (-1)/(-2)*-2. Suppose -q*z - 2*b + 96 - 36 = 0, 4*b = z + 10. What is the remainder when z is divided by 6?
4
Suppose -3*g - 2 = -11. Suppose 23 = n - g*p - 4, 3*n + 3*p = 129. Calculate the remainder when n is divided by 10.
9
Let c = 7 - 14. Let r = c + 9. Calculate the remainder when r is divided by 1.
0
What is the remainder when 6*((-75)/10)/(-5) is divided by (-6)/27 + 47/9?
4
Suppose 7*z = 4*z + 27. What is the remainder when 25 is divided by z?
7
Suppose 2*y + 2*u = 162, 409 = 5*y - u + 5*u. Calculate the remainder when y is divided by 10.
5
Suppose -5*v + 19 = 4. Calculate the remainder when v is divided by 2.
1
Let v = -14 - -42. Let h(f) = -f**2 + 5. Let q be h(0). Suppose 0 = -x + q*x - v. What is the remainder when 20 is divided by x?
6
Suppose 2*h + y - 49 = 0, -y - 75 = -3*h - 2*y. What is the remainder when 75 is divided by h?
23
Suppose 0 = -3*u - 2*c + c + 24, -16 = -2*u - 2*c. Let f = u + -5. Calculate the remainder when f/(-6) - 174/(-4) is divided by 11.
10
Suppose c = q + 7, -3*c - q + 8 = -1. Suppose n - 5 = 0, -3*n + 43 = c*w - 52. Let h(k) = -3*k - 1. What is the remainder when w is divided by h(-4)?
9
Let b = 24 - 17. Let q(w) = w + 3. Suppose 3*u + 25 + 11 = 5*d, -5*d - 4*u + 22 = 0. Calculate the remainder when q(b) is divided by d.
4
Suppose 130 = 7*q - 3*q + 2*o, -o + 131 = 4*q. What is the remainder when q is divided by 7?
5
Let n(d) = d**2 + 4. Suppose 0 = 3*z - o - 15 - 25, -3*o + 6 = 0. What is the remainder when z is divided by n(-2)?
6
Suppose -10 = 5*p, -f + 3*p + 8 = -0*f. Suppose a = 3*a + b - 2, 0 = 2*a - 2*b - 8. Calculate the remainder when a is divided by f.
0
Let w be (-12)/20 + (-14)/10. Calculate the remainder when (w/(-3))/((-1)/(-42)) is divided by 15.
13
Suppose -y - 5*f = -16, -2*f = -5*y + 3*f + 110. What is the remainder when y is divided by 6?
3
Let a = -77 + 135. Let t = -41 + a. Let b(f) = -f**3 + 5*f**2 - 3*f. What is the remainder when t is divided by b(2)?
5
What is the remainder when 207 is divided by (8/10)/(6/195)?
25
Let h = 0 - -1. Suppose 2*m = -3*o + 10, 1 = 5*o - 4*m - 1. What is the remainder when (h/2)/((-2)/(-20)) is divided by o?
1
Suppose -21 = -3*i + 6. What is the remainder when 24 is divided by i?
6
Suppose -3*p = -4*k - 8, -5*p + 0*k = k + 2. Let q = 19 - p. What is the remainder when q is divided by 7?
5
Let n = -11 - -33. What is the remainder when 3936/132 - (-4)/n is divided by 11?
8
Let a(h) = 6*h**2 - 2*h + 3. Let k(y) = -6*y - 12. What is the remainder when a(5) is divided by k(-8)?
35
Let h be 4/6 + (-11)/3. Let m be (-2 - -8)/h - -5. Suppose 4*o + 2*g - 44 = 0, -m*o = -0*g + 3*g - 27. Calculate the remainder when o is divided by 7.
6
What is the remainder when (183/6)/(5/10) is divided by 16?
13
Suppose -14 - 1 = 5*g, -5*k = 5*g. Suppose -4*f = -5*f + 2. What is the remainder when k is divided by f?
1
Suppose -5*t = 3*q - 80, 0 = 3*t - t - 3*q - 53. Suppose p = l - 31, 3*l - p = p + 98. What is the remainder when l is divided by t?
17
Let y(w) = -w**3 - 2 + w + 0*w + w**2 - w + 3*w. Let r be y(2). Suppose -6*l + l + 160 = r. What is the remainder when l is divided by 11?
10
Let r = 82 + -35. Calculate the remainder when r is divided by 16.
15
Suppose -5*i - 8 = -48. Suppose 4*s - 4*f + 36 = 176, 0 = s - 5*f - 55. What is the remainder when s is divided by i?
6
Let t(z) = z - 3. Let g be t(7). Suppose -v - 3*v + 92 = g*n, 0 = 2*n + v - 44. What is the remainder when 83 is divided by n?
20
Let o be (1 - 0) + 5 + -6. Suppose 3*w = o, 0*w - 46 = -j - 3*w. What is the remainder when j is divided by 12?
10
Suppose -2*j + a = -11, -4*j = -j + 3*a - 12. Suppose -5*l = j*q - q - 13, 4*l - 23 = -5*q. What is the remainder when 19 is divided by q?
5
Let i = 237 - 49. What is the remainder when i is divided by 38?
36
Suppose -7 - 5 = -3*q. Suppose q*t = -t. Suppose 4*p + 0*p - 48 = t. What is the remainder when 22 is divided by p?
10
Suppose 0 = -5*s + 2*v - 26 - 4, v = -2*s - 3. Let k = s - -14. Suppose r + r - 38 = 0. Calculate the remainder when r is divided by k.
9
Let t(q) = 3*q**2 + 3*q. Let i be (-46)/14 + 4/14. What is the remainder when 71 is divided by t(i)?
17
Let h(l) = 3*l**2 - 1. Let i be h(-1). Suppose -w + i*w = 8. Calculate the remainder when 31 is divided by w.
7
Let b = -45 - -54. What is the remainder when b is divided by 6?
3
What is the remainder when 20 is divided by 3 - 1/(-3)*0?
2
Suppose 3*n = -2*n + 125. Calculate the remainder when n is divided by 13.
12
Suppose -4*f + 0 + 4 = 0. Suppose 10 + 6 = 2*u + 3*v, 2*v + 1 = u. Suppose -2*y + 7*y = u. Calculate the remainder when y is divided by f.
0
Suppose -h + 12 = 4*q + 2*h, 0 = -4*q - h + 20. Suppose -3*a + 224 = a. What is the remainder when a is divided by (-1)/(-3) - (-112)/q?
18
Suppose 0 = -2*n + 2*g + 12, -4*g + 14 + 2 = 0. What is the remainder when 34 is divided by n?
4
Let i(m) = 7*m**2 - 9. What is the remainder when i(-3) is divided by 15?
9
Suppose y + 3*k - 2 = 0, k + 6 = 3*y - 3*k. Let l(i) = -i**3 - 6*i**2 - 4*i - 4. What is the remainder when l(-6) is divided by ((-21)/6)/((-1)/y)?
6
Suppose -4*d - 5*u = -30, -d - 5*u + 5 = -2*d. Let i(c) = c**2 + 6*c - 1. Let t be i(-7). Let f(s) = -s + 8. What is the remainder when d is divided by f(t)?
1
Suppose s + 4*s - 4*m - 47 = 0, -37 = -3*s - 2*m. Suppose 2*g - 6 = -0*g. What is the remainder when (-5)/10 + s/2 is divided by g?
2
Let l(y) = -2*y + 2. Let i be l(4). Let q = -3 - i. What is the remainder when 6 is divided by q?
0
Suppose -3*u - 36 = -7*u. Let h = u + -6. Suppose 1 = -2*s + 11. Calculate the remainder when s is divided by h.
2
Let w = 29 + -18. Calculate the remainder when w is divided by 7.
4
Suppose -4*m = -5*m + 8. Calculate the remainder when (-18)/(-1) - 3*1 is divided by m.
7
Let f = 31 + -21. Let d(u) = -u**3 + 5*u**2 - 2*u - 2. Let g(h) = -2*h - 6. Let i be g(-5). Calculate the remainder when f is divided by d(i).
4
Let k = 86 - 57. Let l = k + -17. What is the remainder when 35 is divided by l?
11
Suppose -54*b = -52*b - 166. What is the remainder when b is divided by 7?
6
Suppose 2*v = -0*v - 12. Let c be 3*(-2)/v*6. Let h = c + -1. What is the remainder when 9 is divided by h?
4
Suppose 5*a + 161 = 186. Suppose 3*p - 11 = 43. Calculate the remainder when p is divided by a.
3
Let b = -22 + 29. What is the remainder when b is divided by 5?
2
Suppose 0*q + 5*q = 75. Calculate the remainder when 42 is divided by q.
12
Let k(u) = -3*u + 6. Let q(c) = -4*c + 7. Let m(r) = -6*k(r) + 5*q(r). Let n = -28 -