2 = -6*n - 1624. Calculate the remainder when 219 is divided by n.
23
Let t(r) = -r**2 - 23*r - 11. What is the remainder when t(-16) is divided by 4?
1
Let z = -1525 + 1537. Suppose -3 + 6 = u. What is the remainder when z is divided by u?
0
Let k be (6/4)/(5/10). Suppose 3*t - k*p + 6*p = 135, 0 = -3*t + 2*p + 140. Suppose -o = -t + 5. Calculate the remainder when o is divided by 14.
13
Let b(r) be the first derivative of r**2/2 + 84*r + 17. Calculate the remainder when b(20) is divided by 15.
14
Suppose -2091 = -34*w - 85. Calculate the remainder when 206 is divided by w.
29
Let f = 43 - 26. Let h(j) = j - 1. What is the remainder when f is divided by h(4)?
2
Suppose -203 = 3*g - 41. Let c = g - -101. Calculate the remainder when c is divided by (-3)/(-18) - 71/(-6).
11
Suppose 4*u + 4*n + 8 = 0, 2*u - 27 = -2*u + 3*n. Suppose -5*m + 47 = u*a, 44 = 4*m - 6*a + 2*a. Calculate the remainder when 46 is divided by m.
6
Calculate the remainder when (-3 + 7)*(-1)/2*-178 is divided by 51.
50
Let n = -18 + 33. Let d(f) = f**3 + 2*f**2 - 14*f - 5. Let o be d(6). Let t = o - 194. What is the remainder when n is divided by t?
0
Calculate the remainder when 34 is divided by 5*(0 - 1/(-10))*68.
0
Suppose 8*d + 4*o = 12*d - 108, 0 = -3*d + 2*o + 84. What is the remainder when 957 is divided by d?
27
Let p(x) be the second derivative of -x**4/12 - 4*x**3/3 - 2*x**2 - 20*x. What is the remainder when 60 is divided by p(-2)?
4
Let r(l) = -4*l - 22. Let p be r(-8). Suppose -p*g + 138 = -7*g. Calculate the remainder when 89 is divided by g.
43
Suppose 7*m - 23*m = -624. What is the remainder when 230 is divided by m?
35
Let i = 765 + -369. Calculate the remainder when i is divided by 7.
4
Suppose -112 = -20*b + 248. Calculate the remainder when 1 + 0 + (-134)/(-2) is divided by b.
14
Let r = 128 - -512. Calculate the remainder when r is divided by 15.
10
Let x = 656 + -451. What is the remainder when x is divided by 7?
2
Suppose r - 46 = -r. Let l(a) = -2*a - 2*a + 2*a + 6 + a**2 - 3*a. Calculate the remainder when r is divided by l(6).
11
What is the remainder when 1321 is divided by ((-1446)/(-24) - -3) + 6/(-24)?
61
Let q(i) = 4*i**2 - 3*i + 64. Let j(t) = t**2 - t. Let f(l) = -3*j(l) + q(l). Calculate the remainder when f(0) is divided by 17.
13
Suppose 90 = 4*q + 3*h, 5*h - 4*h + 2 = 0. Calculate the remainder when 3/(-4 - (-350)/86) is divided by q.
19
Suppose m = -2*m + 72. Suppose 47 = 4*u - 3*g, 0*g = -3*u + 5*g + 49. Suppose -m = -o + u. Calculate the remainder when o is divided by 17.
15
Let z(g) = 2*g**2 - 43*g - 12. What is the remainder when 125 is divided by z(22)?
5
Suppose 81 = 2*p - 5*o, 5*o = 2*o - 3. Let d = 64 - 44. Calculate the remainder when p is divided by d.
18
Let b = -256 - -334. Calculate the remainder when b is divided by 10.
8
Let b = 19 + -13. Suppose 3*i = 2*i + 5. Suppose -i*l = -b*l + 12. Calculate the remainder when 23 is divided by l.
11
Let h(i) = -i**2 + 8*i - 14 + 9*i - i - 1. What is the remainder when h(8) is divided by 10?
9
Let p = -3572 - -3580. Suppose 3*v + 2*v - 30 = 0. Let o(q) = 5*q. Calculate the remainder when o(v) is divided by p.
6
Suppose 0 = -2*l - 12 - 2. Let y = 32 + l. Let z = 143 + -46. Calculate the remainder when z is divided by y.
22
Let x = 2182 - 2178. What is the remainder when 36 is divided by x?
0
Suppose 125 = -m + 6*m. Calculate the remainder when -4 + 1 + (111 - 10) is divided by m.
23
Suppose -3*s + 74 + 118 = 0. Suppose 3*m - s = -m. Let f = m - 2. Calculate the remainder when 41 is divided by f.
13
Suppose -25 = -u + 10. Let i = u + -35. Suppose i = -5*n + 83 + 22. Calculate the remainder when n is divided by 11.
10
Suppose -5*g = -2*t - 51, -t - 2*t = 9. Let f = 1451 - 1409. Calculate the remainder when f is divided by g.
6
Let h be (-670)/(-40) + (-1)/(-4). Suppose -60 = h*k - 20*k. Suppose -9 = i - k. Calculate the remainder when 16 is divided by i.
5
Let x(t) = 0 + 13*t + 0. Let j(p) = 21*p**2 - 6*p + 7. Calculate the remainder when x(5) is divided by j(1).
21
Let c = 1410 + -1396. Calculate the remainder when 66 is divided by c.
10
Let f(r) be the third derivative of r**5/60 - r**4/24 - r**3 + 11*r**2. Suppose p = 5*p - 36. What is the remainder when f(6) is divided by p?
6
Let o be ((-16)/20)/((-2)/10). Suppose 154 = o*n + 2*q, -2*q - 126 = -3*n - 7*q. Calculate the remainder when 145 is divided by n.
34
Let b = 1002 + -974. What is the remainder when 270 is divided by b?
18
Let x(n) = n - 12. Let w be x(15). Suppose 1 = w*o - 5. Let z(y) = -y + 10. What is the remainder when o is divided by z(8)?
0
Let k(b) = -b**3 + 9*b**2 + 8*b + 46. What is the remainder when 460 is divided by k(10)?
18
Let v(u) = u**3 + 8*u**2 + 15*u + 1. Let c be v(-4). Suppose 6*b - 2*b = -c*j + 111, -2*j = -b - 47. Calculate the remainder when 90 is divided by j.
21
Suppose 2 + 2 = -4*r + 4*b, -b + 11 = 4*r. Suppose -r*s + 35 = -25. Calculate the remainder when 117 is divided by s.
27
Let p = -6 - -8. Suppose 0*i = 5*i - 40. Calculate the remainder when (-720)/(-33) + p/11 is divided by i.
6
Suppose -33*a = -28*a + 7*a - 348. Suppose 430 = 5*q - 4*s, 3*s + s = -3*q + 258. Calculate the remainder when q is divided by a.
28
Let i(c) = -3*c**2 - 120*c - 135. Let w = -3 - -19. Calculate the remainder when i(-38) is divided by w.
13
Suppose 0 = -3*y + y + 72. Let p = y + -3. What is the remainder when p is divided by 18?
15
Suppose 0 = 13*q + 68 - 536. Let g = q + -11. What is the remainder when 72 is divided by g?
22
Suppose -8*u - u = -270. What is the remainder when 657 is divided by u?
27
Suppose 10*u = 2*w + 7*u - 451, w + u = 233. Calculate the remainder when w is divided by 8.
6
Let q(f) = 11*f**2 - 2*f + 1. Let s(i) = -i**3 - 6*i**2 - 6*i - 2. Let p be 1/(((-3)/5)/3). What is the remainder when q(1) is divided by s(p)?
1
Suppose -3*v = -4*w - 15, 5 = v - 0*v - 5*w. What is the remainder when 132 is divided by v?
2
Let x = 60 + -30. What is the remainder when 40 is divided by (92/6)/(20/x)?
17
Suppose 0 = 4*k - 3*k - 8. Suppose -o - h + k = 0, -h - 20 = -3*o + 8. Suppose -16*j - 224 = -30*j. What is the remainder when j is divided by o?
7
Suppose 0 = 4*r - 4, 0 = -7*y + 8*y - 5*r - 189. What is the remainder when y is divided by 34?
24
Suppose -u - 34 - 21 = 0. Let f = u - -84. What is the remainder when 142 is divided by f?
26
Suppose 66 + 129 = 5*q. Calculate the remainder when q is divided by 14.
11
Suppose -3*j = 3*f + 21, 12 = -2*j - 2*j. Calculate the remainder when -1*(252/f - -4) is divided by 15.
14
Let g be -5 + (-100)/(-15) - 1/(-3). What is the remainder when 16 is divided by ((-128)/(-20))/g - (-1)/(-5)?
1
What is the remainder when 309 is divided by (-13)/(4*6/(-72))?
36
Suppose -12 = -2*y + 5*g, -3*g = 2*y + 13 + 7. Let n be (-2)/(-4)*(y - -4). What is the remainder when 30 is divided by 1 + (n + -1)*-15?
14
Let s = -489 - -492. Suppose -2*c + 7*c - 430 = 0. Suppose 0 = s*x - 106 - c. What is the remainder when x is divided by 13?
12
Suppose -14*i - i + 135 = 0. Suppose 65 = -4*x + i*x. Calculate the remainder when 89 is divided by x.
11
Let f = 291 - 267. Calculate the remainder when 92 is divided by f.
20
Let h(b) = -b**3 - 5*b**2 - 5*b + 4. Let o be h(-4). Suppose -2*r + o = -3*r. Let f = 21 + r. What is the remainder when 36 is divided by f?
10
Let o = 3 + 4. Suppose -48 = -5*i + 17. Suppose 2*j + 3 = i. Calculate the remainder when o is divided by j.
2
Let r = 19 + 2. What is the remainder when 12/(-21) + (-2 - (-1187)/7) is divided by r?
20
Let y be 74/10 + (-6)/15. Suppose y*u - 6 = 6*u. Let s(n) = -n**3 - 6*n**2 - 2*n - 1. Calculate the remainder when s(-6) is divided by u.
5
Let i(o) = 2*o + 1. Let f be i(4). Suppose 0 = -p + f - 2. Let y(d) = -d**2 - 25*d + 3. What is the remainder when y(-24) is divided by p?
6
Let x = 401 + -379. Calculate the remainder when 40 is divided by x.
18
Suppose -8*k = -18*k + 420. What is the remainder when 166 is divided by k?
40
Let w be (-6)/(-9) + (-13)/(-3). Let j(z) = 75*z - w*z**2 - 69*z - 1 - 1 + z**3. What is the remainder when 10 is divided by j(4)?
4
Suppose 3*y = 27 + 9. Let d be 38/14 - y/(-42). Suppose -4*t - 3*a + 12 = -d*t, 5*a = -2*t + 21. What is the remainder when 9 is divided by t?
0
Suppose 0*x - 4*x = -196. Let r(b) be the 