6 + -3 + 3 is divided by 8.
7
Let k(y) = 8*y + 89. Calculate the remainder when 1 - 0 - (-66 - -2) is divided by k(-9).
14
Let x(s) = -s + 20. Suppose -49 + 193 = 3*z. What is the remainder when z is divided by x(10)?
8
Suppose 0 = -w - j + 4, -w + 5*j + 28 = 0. Let b(m) = -17*m + 278. What is the remainder when b(15) is divided by w?
7
Let n = -378 + 895. Calculate the remainder when n is divided by 10.
7
Let g = 287 + -218. What is the remainder when g is divided by (-173)/(-5) + (-10)/(-25)?
34
Let z(w) = -w**2 - 10*w - 13. Let l(h) = -h**3 - 3*h**2 + 7*h + 7. What is the remainder when l(-5) is divided by z(-5)?
10
Suppose 18 - 1 = t. Let q(v) = -68*v**3 - 3*v**2 - v. What is the remainder when q(-1) is divided by t?
15
Let v(h) = -h**2 + h + 3. Let f(p) = p**3 + p**2 - 2*p - 4. Let m(n) = -4*f(n) - 6*v(n). Calculate the remainder when 100 is divided by m(-2).
32
Let h be 1/4 + (1 - (-301)/28). Suppose -h + 3 = -p. What is the remainder when 35 is divided by p?
8
Suppose 2*w = -2 + 8. Suppose -52 = w*o - 7*o. Calculate the remainder when o is divided by 6.
1
Let k = 51 - 23. What is the remainder when k is divided by (-2)/(2/(-9) + (-2)/18)?
4
Let r = 7 + -4. Let d(i) = -14 + 6*i + r*i + 5*i - i**2. What is the remainder when 37 is divided by d(11)?
18
Let h be 0 + (-4)/(2/(-1)). Calculate the remainder when 2 - (-2)/4*h is divided by 2.
1
Let y be (56/42)/((-2)/(-9)). Suppose -y*m + 393 = 117. Calculate the remainder when m is divided by 16.
14
Let r(q) = -4*q**3 - q**2 + 4*q. Let t be r(-3). Suppose 0 = -3*l - 9, l - t = -3*w - 3*l. What is the remainder when 196 is divided by w?
31
Let s(k) = -k + 1. Let h(b) = -10*b + 18. Let m(p) = 2*h(p) - 14*s(p). Calculate the remainder when 21 is divided by m(3).
1
Let u(r) = -r**3 + 8*r**2 + 7*r + 8. Let w be u(8). Suppose -6*q + 2*q - 2*m + 42 = 0, -3*q = -5*m - w. What is the remainder when 38 is divided by q?
12
Suppose 78*l = 75*l + 2*z + 291, 2*l - 194 = -3*z. Calculate the remainder when l is divided by 80.
17
Suppose s + 1 = 0, 11 = u + 2*u - 5*s. Let y = u + 3. Suppose 23 = -y*k + 63. Calculate the remainder when k is divided by 5.
3
Let f be 20/100 - 49/(-5). Suppose -f*l + 60 = -4*l. Calculate the remainder when 28 is divided by l.
8
Suppose -4*n = 3*h - 60, 3*n - 3*h - 102 = -2*n. Let g be -30*(18/(-30) + 3*-1). Let p = g - 74. What is the remainder when p is divided by n?
16
Let p = -48 + 133. Calculate the remainder when 254 is divided by p.
84
Let b(l) be the second derivative of l**5/20 - 3*l**4/4 + 11*l**3/6 - 10*l**2 + 10*l. What is the remainder when b(8) is divided by 3?
1
Suppose 2*u = 3*t + 6*u - 11, -5*t = 4*u - 29. Calculate the remainder when 340 is divided by t.
7
Suppose 228 + 36 = 2*d. Suppose -5*x = 7*x - d. Calculate the remainder when x is divided by 8.
3
Suppose -2*f - 2 = -f. Let i(v) = 9*v - 2. Let l(o) = -o - 1. Let m(n) = -i(n) + 6*l(n). Calculate the remainder when 49 is divided by m(f).
23
Let w(a) = a**2 + 2*a - 24. Let j be w(-7). Suppose 0 = j*q - 3*q - 96. Calculate the remainder when (-2)/(-4)*45*2 is divided by q.
9
Suppose 2 - 7 = 2*j + o, -3*j = 3*o + 9. What is the remainder when ((-1)/(j/(-37)))/(6/(-12)) is divided by 13?
11
Suppose 2*f + 21 = 3*f. Let b be 11 - 7/(35/10). Suppose -b*g + 5*g + 24 = 0. Calculate the remainder when f is divided by g.
3
Let w(t) = 3*t**2 + 15*t + 10. What is the remainder when 150 is divided by w(-7)?
46
Let i(m) = -m + 5. Let b be i(8). Let j be 8/b*6/(-4). Suppose -j*o = 4*h - 88, -o - 2*h - 46 = -4*o. What is the remainder when o is divided by 5?
3
What is the remainder when (-61302)/51*(-2 - 3/(-2)) is divided by 121?
117
Let j be (-5)/((-20)/(-8))*-14. Let z(k) = k**2 - 27*k - 18. Calculate the remainder when 58 is divided by z(j).
8
Let w(d) = -d**3 - 20*d**2 + 43*d - 8. Let s = 25 - -44. What is the remainder when s is divided by w(-22)?
13
Suppose -a + 5 = -r, -2*r - 3*r = -3*a + 19. Suppose -4*d + 56 = 4*j, 0 = a*j - d - 18 - 4. Calculate the remainder when 29 is divided by j.
2
Suppose 4*n + 4*o = 6*n - 52, 4*n - 3*o - 84 = 0. Suppose 3*j + n = -21. What is the remainder when 101 is divided by (1*j)/(6/(-12))?
23
Let d(h) = h**3 + 18*h**2 + 25*h + 38. Suppose 2*c = v - 37, 3 + 17 = 4*v. Calculate the remainder when d(c) is divided by 19.
17
Let a = -11 - -225. Let y = a - 196. Let i = -35 - -66. What is the remainder when i is divided by y?
13
Let j(b) = -4*b - 29. Let g be j(-9). Let x = g + 20. What is the remainder when x is divided by 18?
9
Let l = 4 - -13. Suppose -7*x = -8*x + l. Suppose -3*g - 2*g + 45 = 0. What is the remainder when x is divided by g?
8
Let i(k) = k**3 - 15*k**2 - 15*k + 24. Let t be i(16). Calculate the remainder when (-2)/10 - (-4968)/t is divided by 42.
40
Suppose 3 + 3 = 4*r + 2*l, 0 = 3*r - 3*l - 9. Suppose 0 = -r*f + 8 + 8. What is the remainder when 21 is divided by f?
5
Let i = 3 - 0. Suppose -y + 4*t - 3 = 0, t = -2*y - i*t + 30. Suppose -r - 96 = -5*r. What is the remainder when r is divided by y?
6
Suppose 30 = -0*v + 3*v. Suppose -2*o - 1 = -31. What is the remainder when o is divided by v?
5
What is the remainder when 75 is divided by (20 + -1 + (-2 - 1))*1?
11
Suppose 3*n = 2*d - 2*n + 52, -8 = -2*n. Calculate the remainder when 117 is divided by -5 - (d + -4 + 3).
9
Suppose 5*i - 24 = 2*h, 3*i + 2*h - 15 = 3*h. Suppose -i*s - 8 - 40 = 0. What is the remainder when 47 is divided by (-318)/(-27) + s/(-36)?
11
Suppose 0 = -t - 4*o + 22, 15 = 4*o - o. Suppose 0 = -0*q - t*q + 56. What is the remainder when 4/22 + 90189/1089 is divided by q?
27
Suppose -12 - 9 = -3*g. What is the remainder when (1 - 4)/((33/143)/(1/(-1))) is divided by g?
6
Let a = -576 + 614. What is the remainder when 101 is divided by a?
25
Let u = 455 - 378. Calculate the remainder when 306 is divided by u.
75
Let d = 162 + 87. What is the remainder when d is divided by 7?
4
What is the remainder when (-127 + -2)/((-60)/40) is divided by 39?
8
Let m(k) = 9*k**3 - 6*k**2 + 20*k - 66. What is the remainder when m(4) is divided by 31?
29
Suppose 2*i - 2*b + 20 = -4*b, -i = 2*b + 13. Suppose 0*a - 2*a - 22 = 2*g, g = -3*a - 7. Let p = i - g. What is the remainder when 13 is divided by p?
1
Suppose -2*t + n = -n - 34, -5*n = 5*t - 135. Let z = t - 19. What is the remainder when z + (26 - (-1 + 1)) is divided by 10?
9
Suppose -3*o + 3*c + 1104 = 0, 2*o = -2*o + 3*c + 1467. What is the remainder when o is divided by 73?
71
Suppose -5*s + 334 = -486. What is the remainder when s is divided by 34?
28
Suppose -31 = -s - 3*u, 2*u + 60 = 3*s - 0*u. Let p be 406/(-28) - 1/(-2). What is the remainder when s is divided by (-108)/p + 27/21 + -1?
6
Suppose -2956*r + 2943*r + 1482 = 0. What is the remainder when r is divided by 51?
12
Suppose -3*i - 2*m = 377, -4*i = -2*m - m + 497. Calculate the remainder when 110 is divided by (5/(i/70))/(2/(-10)).
12
Let s(n) = 90*n - 515. Calculate the remainder when 947 is divided by s(6).
22
Let l = -122 + 138. Calculate the remainder when 87 is divided by l.
7
Let x = -178 - -234. What is the remainder when x is divided by 15?
11
Suppose -g - 104 = -u - 16, 2*u - 148 = -5*g. Suppose -198 = u*n - 90*n. Let z(f) = -2*f - 4. Calculate the remainder when n is divided by z(-5).
3
Let d = 2 + 4. What is the remainder when 71 is divided by (-95)/(-4) + d/24?
23
Suppose 0 = -2*j - 5*b + 91, 2*j - 79 = -2*b + b. What is the remainder when 48 is divided by j?
10
Let f(u) = -15*u**2 - 4*u + 6. Let p be f(6). Let o = -315 - p. Calculate the remainder when o is divided by 35.
33
Let v(c) = 4*c**2 - 14. What is the remainder when 241 is divided by v(-4)?
41
Let j(r) = r**3 - 6*r**2 + r - 2. Let d be j(6). Let g = d - -3. Let a(c) = -6*c - 28. What is the remainder when a(-9) is divided by g?
5
Let h(p) be the first derivative of 1/2*p**2 + 5*p + 7. What is the remainder when 25 is divided by h(4)?
7
Let w(i) = 4*i**3 + 2*i - 4. Let o be w(2). Let s = o + -19. Calculate the remainder when 77 is divided by s.
12
Calculate the remainder when 267 is divided by (140/21 - 7)*-27.
6
Suppose 2*i - 20 = -0*i. What is the remainder when 3 - -1 - 4/((-4)/23) is divided by i?
7
Let b = 52 + -11. Let k = 9 - -5. Calculate the remainder when b is divided by k.
13
Suppose 29*p = -17*p + 1978. What is the 