 Calculate the remainder when t is divided by p(k).
0
Suppose -l + j = -5*l + 17, 0 = -l + 2*j - 7. Let x(q) = 13 - 3*q**2 + 4*q**2 - 8 - l*q. What is the remainder when x(5) is divided by 4?
3
Suppose 4*h = 20 + 84. What is the remainder when h is divided by 18?
8
Let m = -3 - -13. Let l(b) = 11*b - 6. Suppose 2*h = -0*h + k + 5, 1 = h - k. What is the remainder when l(h) is divided by m?
8
Let r(m) = m**2 - 15*m + 28. Let g be r(12). What is the remainder when 3/g + 1001/88 is divided by 3?
2
Let m = -257 + 267. Calculate the remainder when 45 is divided by m.
5
Suppose 0 = 6*m - 28 - 74. Calculate the remainder when 3466 is divided by m.
15
Let w be 5 - (-35)/(-14) - 3/(-2). Let l(v) be the second derivative of v**4/6 - 4*v**3/3 + 2*v**2 - v. Calculate the remainder when 19 is divided by l(w).
3
Suppose -304 = -10*x - 214. What is the remainder when 24 is divided by x?
6
Let w(h) = -8*h**2 - 3*h + 2. Let z be w(2). Let p = z - -50. Let o = 9 - 5. What is the remainder when p is divided by o?
2
Suppose 4*d = -2*b + 290, -430 = -3*b - d - 0*d. What is the remainder when 23 is divided by b/(-11)*1*-1?
10
Let z = 397 + -377. Suppose 3*n = 18 + 21. Calculate the remainder when z is divided by n.
7
Suppose 3*n = -4*y + 6, -2*n = 5*y - 7 + 3. Suppose 3*h + n*b - 77 = 3*b, h - b - 29 = 0. What is the remainder when 94 is divided by h?
22
Suppose -2*o - p = -290, -3*p = -0*p - 6. What is the remainder when o is divided by 29?
28
Let l = -98 - -151. Suppose -3*g + l - 10 = -2*w, 4*g - 4*w = 60. What is the remainder when 25 is divided by g?
12
Let f = 10 + -6. Suppose 4*y + 68 = -r, 8*r - 5*y = f*r - 293. Let o = 12 - r. Calculate the remainder when o is divided by 29.
26
Let t(k) = -k**2 - 4*k. Let h be t(-2). Let q = 0 + 5. What is the remainder when 4/((-4)/(-13)) - h is divided by q?
4
Let n = 1780 + -1227. Calculate the remainder when n is divided by 28.
21
Let s be ((-2)/(-2))/((-2)/(-8)). Suppose 0 = d - 3 + s. Let o = d + 10. What is the remainder when o is divided by 5?
4
Suppose -317 = -11*x + 321. Calculate the remainder when x is divided by 15.
13
Suppose 3*a - 2*a = 58. Calculate the remainder when (-2 + (-12)/(-4))*a is divided by (-1)/(-4) - (-237)/12.
18
Let q be 8*(-6)/(-8)*22/(-4). Let w = q - -42. What is the remainder when 35 is divided by w?
8
Let t = 53 + -63. Let k(i) = -i**3 - 10*i**2 - 2*i - 8. Calculate the remainder when 47 is divided by k(t).
11
Let u = -1227 + 1238. Calculate the remainder when 30 is divided by u.
8
Let u be 16/6 - (-11)/33. Suppose 122 = 2*z + 5*d - u*d, -4*z + 224 = -d. What is the remainder when z is divided by 20?
17
Let z = 42 - 42. Suppose -2*o = -3*o + 4*g + 33, z = -o + 5*g + 36. Calculate the remainder when o is divided by 8.
5
Suppose -5*r + 2*z = 73, -2*r - 18 + 4 = 3*z. Let k = -4 - r. Let s = -7 + 33. Calculate the remainder when s is divided by k.
8
Let h(q) = -3*q**2 + 97*q - 355. Suppose 4*c - 89 = -5*b, c + c - b = 27. What is the remainder when c is divided by h(28)?
7
Let b = 94 - -21. Let k = 122 - b. Calculate the remainder when 25 is divided by k.
4
Let q(w) = -22*w + 7. Let u be q(-6). Suppose u + 41 = 5*p. What is the remainder when p is divided by 4/6*39/2?
10
Suppose -4*d + 14 = -i, -5*d - 2 = -3*i - 9. Let g = 14 - 3. Calculate the remainder when g is divided by i.
5
Let w(f) = f**2 - 9*f + 22. Let m be w(3). Suppose 5*b = z - 0*z + 4, -m*b + 12 = 0. What is the remainder when 38 is divided by z?
5
Let j = 1340 + -1243. Suppose 0 = 2*b - 5*s - 66, 4*b - 154 + 22 = 5*s. Calculate the remainder when j is divided by b.
31
Let m be ((-1107)/6)/(6/(-36)). Suppose -m = -12*f + 3*f. What is the remainder when f is divided by 31?
30
Let v = 297 - 220. What is the remainder when v is divided by 14?
7
Let u = 9 - 4. Calculate the remainder when (-21014)/(-190) + (2/u)/1 is divided by 19.
16
Suppose 7*h = 5*h. Suppose h = 4*a + a - 50. Suppose -18 - a = -3*n - y, -26 = -3*n - 2*y. Calculate the remainder when 38 is divided by n.
8
Let r be (75 - 1)*(-452)/(-8). Suppose 4179 = -3*i - 3*x, -3*i - 5*x + 0*x - r = 0. Calculate the remainder when (4/6)/((-32)/i) is divided by 16.
13
What is the remainder when (2586/18 - (-6)/(-9))/1 is divided by 24?
23
Suppose 2*i - v - 10 = 24, -10 = -i + 4*v. What is the remainder when (-7)/(0 + -1 - 182/(-195)) is divided by i?
15
Let t(j) = 2*j**2 + 31*j + 187. Calculate the remainder when t(-24) is divided by 26.
23
Let r be (7 - 6) + 1/(-1). Let k be (1 + r)/((-7)/(-35)). Let t = k + 4. What is the remainder when t is divided by 3?
0
Suppose 40 = 5*a - 2*x, -3*a - 3*x + 32 - 8 = 0. Calculate the remainder when 218/a - 1/4 is divided by (-43 - -52) + 1*6.
12
Let w be (0/11)/(0 - -2). Suppose 2*c + w*c - 25 = -3*t, -3*t = -c - 37. Calculate the remainder when 54 is divided by t.
10
Suppose 20 - 6 = 2*u. Let j(s) = s**3 - 5*s**2 - 7*s + 9. Calculate the remainder when j(u) is divided by 20.
18
Let o = -13 - -13. Suppose -5*b + 0*g - g + 278 = 0, o = -3*b + 2*g + 159. Let r = 8 - -7. What is the remainder when b is divided by r?
10
Let q = 14 + -12. Suppose -175 = -q*i - 3*i. Calculate the remainder when i is divided by 2/6 - (-35)/3.
11
Let i(a) = -3*a + a + 63 - 60. Suppose 7*n - u - 219 = 3*n, 0 = -3*n + 2*u + 163. What is the remainder when n is divided by i(-8)?
17
Let z(s) = -2*s + 73. What is the remainder when z(-19) is divided by 31?
18
Suppose -5*y - 4*g = -132, g + 0*g + 45 = 2*y. Let r = y - 16. Let k = 7 + r. What is the remainder when k is divided by 4?
3
Let j be (-4)/(-8) - (-10)/(-4). Calculate the remainder when 3/j*(-410)/15 is divided by (-34)/(-51)*(-33)/(-2).
8
Let h = 833 - -162. Calculate the remainder when h is divided by 50.
45
Suppose 12 = 4*y, 0 = 3*u + 4*y - 61 - 74. Suppose -3*v + 4*v - 3 = 0. Suppose v*z = 32 + 1. Calculate the remainder when u is divided by z.
8
Let m = 2 - 1. Suppose 7 = -2*b + m. Calculate the remainder when 53 is divided by (2/b)/(9/(-189)).
11
Let u = 86 - 51. Suppose 0 = -7*n + 2*n + u. Calculate the remainder when n is divided by (4/2)/(4/8).
3
Suppose -4*v + 393 = -483. Suppose -3*j + 25 = 2*j, -4*d + 5*j + v = 0. Calculate the remainder when d is divided by 8.
5
Suppose 2*r + 5*k + 20 = -0*r, 3*r - 16 = 4*k. Suppose r = 7*i - 4*i. Suppose -2*u - 5 + 17 = i. What is the remainder when u is divided by 4?
2
Let j(q) = q + 26. Let c = 31 + -43. Calculate the remainder when 67 is divided by j(c).
11
Suppose 2*y - 3*i - 49 = 4*y, -85 = 5*y - 5*i. Let o(m) = 2*m**3 + 5*m**2 + 4*m - 4. Let r be o(-4). Calculate the remainder when 87 is divided by y/30 - r/3.
21
Suppose 3*h + 50 = -13. Let z = h + 33. Calculate the remainder when 33 is divided by z.
9
Suppose -5*p + 3*z = -180 + 51, 5*p - 132 = 4*z. Calculate the remainder when p is divided by (1 - 0) + 5 - 1.
4
Let q(d) = 2*d**2. Let s be q(-1). Suppose -m + s = -o + 12, -2*m - 48 = -4*o. What is the remainder when o is divided by 10?
4
Let w(z) = 2*z + 1. Let j = 13 + -9. Let u(x) = -x + 12. Calculate the remainder when w(j) is divided by u(6).
3
Suppose 0 = -4*b + b. Suppose -3*w + 24 = -2*a + 4*a, b = 4*a - w - 62. What is the remainder when 73 is divided by a?
13
Let c = -486 - -538. What is the remainder when 155 is divided by c?
51
Suppose 2*f + 5*z = 6 + 26, 0 = f + 3*z - 14. Calculate the remainder when f is divided by 4.
2
Suppose 5*b + 2*p - 233 = 0, 1 - 218 = -5*b + 2*p. Calculate the remainder when 50 is divided by b.
5
Let h be 3 + (-5)/(5/(-1)). Suppose -3*j = -h*z - 654, 4*j + 2*z + 2*z - 844 = 0. What is the remainder when j is divided by 36?
34
Let d be (-1)/(3/18*-2). Let t(l) = l**d - 2 - 4 + 8 - 4*l**2. What is the remainder when 2 is divided by t(4)?
0
Suppose -4*a = -3*m + 139, -a = 5 - 1. What is the remainder when m is divided by (-473)/(-55) + (-4)/(-10)?
5
Let j(s) = -s**2 - 19*s - 18. Let r be j(-18). Suppose 3*z - 2*z - 49 = r. Calculate the remainder when z is divided by 13.
10
Suppose 2*p - 510 = -3*p. Calculate the remainder when p is divided by 28.
18
Let c be (-2102)/10 + (-5)/(-25). What is the remainder when 488/10 + 7*(-6)/c is divided by 27?
22
Let b = 39 - 32. Calculate the remainder when ((-738)/(-14) + 2/b)*1 is divided by 27.
26
Let m(t) be the first derivative of t**3/3 - 7*t**2/2 - 12*t - 36. What is the remainde