the remainder when n(6) is divided by 372.
84
Let h(l) = 26*l + 219. Suppose -131 - 58 = 27*f. Suppose 5*a - 29 = 3*b - 7*b, 0 = -3*a - 5*b + 20. What is the remainder when h(f) is divided by a?
2
Let q = 10983 - 10080. What is the remainder when q is divided by 81?
12
Let a = 2 - -1. Let t(q) = q**3 - 4*q**2 - 28*q + 2. Let v be t(9). Suppose 8*b - v = a*b. Calculate the remainder when b is divided by 12.
7
Let x = -9700 + 9761. Calculate the remainder when x is divided by 17 + 8*3/6.
19
Let i = 5654 - 5319. What is the remainder when i is divided by 17?
12
What is the remainder when ((-365)/(-4745))/((-2)/(-44434)) is divided by 57?
56
Suppose -4*s - 28 = 0, 5*d - 86*s + 82*s = 198. Calculate the remainder when 1026 is divided by d.
6
Suppose -128 = -0*m - 4*m. Suppose 5*c - 232 = 3*n, 0 = 3*c - 2*n + 53 - 193. Let a = c + -38. Calculate the remainder when m is divided by a.
2
Let w(y) = 5*y**2 - 45*y - 22. Let n be w(19). Suppose 74*s = 66*s + n. Suppose z - 10 = 14. What is the remainder when s is divided by z?
20
Suppose 0 = 25*f - 9*f - 2400. Calculate the remainder when (-44)/(-5)*(f/12 + -10) is divided by 7.
1
Suppose -123*c = -201*c + 936. What is the remainder when 16102 is divided by c?
10
Calculate the remainder when 205 is divided by ((-3025)/(-363))/((-1)/(-3)).
5
Suppose 26 = 2*a + 5*u - 62, 16 = -4*u. Suppose 2*o = 5*n + 4*o - a, -12 = -2*n + 4*o. What is the remainder when 76 is divided by n?
6
Let l = -71 + 180. Let y = l - 57. Suppose -44*o = -40*o - y. What is the remainder when 48 is divided by o?
9
Let r = -398 - -429. What is the remainder when 786 is divided by r?
11
Let r be 10 + -9 - (-3)/(12/16). Suppose r*m + 10*n - 507 = 9*n, -5*n = m - 111. What is the remainder when m is divided by 27?
20
Let a = 3846 - 3828. What is the remainder when 19 is divided by a?
1
Let o = 12445 - 12225. What is the remainder when 1066 is divided by o?
186
Let g be -4 + (9 - -4) - 4. Suppose 32 = m - 5*j, -m - j - 109 = -g*m. What is the remainder when 47 is divided by m?
20
Let l(y) = 38*y + 268. Let n = -2 + 9. What is the remainder when l(-6) is divided by n?
5
Suppose 185 + 35 = -11*z. What is the remainder when 8/z*-155*(-1 - -3) is divided by 18?
16
Suppose -2*m = -2*y - 3*y - 365, 0 = 5*m - 3*y - 884. Let v = 190 - m. Let w(c) = -6*c - 1. Calculate the remainder when v is divided by w(-1).
0
Let q = -43712 - -43720. Let v = -1 - -1. Suppose 4*h - 28 + 8 = v. Calculate the remainder when q is divided by h.
3
Let o(j) = j**2 - 12*j - 3. Let r be o(12). Calculate the remainder when 3 + (-7)/(28/(-516)) is divided by 1264/48 + (-2)/r.
24
Suppose -743 + 107 = -4*p. Suppose 0 = 18*c - 698 - 7366. Suppose -19*w + 33*w - c = 0. What is the remainder when p is divided by w?
31
Suppose 4*z = -2*w + 60, 4 = w + z - 31. Suppose 6*v - w = -10. What is the remainder when 1185/25 + (-1)/(v/2) is divided by 25?
22
Suppose f - 15 = -d, -2*f = 3*d - 0*d - 35. Suppose -f*t - 600 = -40*t. What is the remainder when 90 is divided by t?
10
Suppose -77 = 3*x + 29*x + 45*x. Let q(p) be the third derivative of -5*p**4/12 + 7*p**3/6 + p**2. What is the remainder when 48 is divided by q(x)?
14
Let r = 102 - 98. Suppose 3*q + 2*b = 33, r*b = -5*q - 0*b + 57. What is the remainder when 150 is divided by q?
6
Let g be (-1)/1 + (-1)/1. Let t(c) = 3*c**2 + c + 2. Let h(l) = 279*l - 2508. What is the remainder when t(g) is divided by h(9)?
0
Suppose -4*k + 337 = -k + 5*h, -2*k + 5*h + 233 = 0. Let u = 43 - 26. Suppose u*q - 16*q - 40 = 0. Calculate the remainder when k is divided by q.
34
Let s = 929 + 6009. What is the remainder when s is divided by 178?
174
Let u(b) be the first derivative of -b**4/4 + 7*b**3/3 - 5*b**2/2 + b + 11. Calculate the remainder when (-7)/((-21)/6) - 5*-25 is divided by u(5).
23
Let a(r) = 3*r - 670 + 315 + 324 + r. Suppose 90 = -u + 6*u. Calculate the remainder when a(u) is divided by 24.
17
Suppose 31*g + 10 = 36*g. Suppose g*v = 3*z + 40, -5*v + 0*v + 2*z = -122. What is the remainder when v is divided by 15?
11
Let i = 44 - 35. Let p = 13 - i. Suppose -p*a = 3*u - 80, 33 - 143 = -5*u - 2*a. What is the remainder when u is divided by 14?
6
Suppose -5*m + 5*t = -30 - 10, -5*m + 43 = -4*t. Let s = 35 + 137. What is the remainder when s is divided by m?
7
Suppose -4*t - 17*j + 258 = -8*j, 2*t - j = 162. What is the remainder when 540 is divided by t?
72
Let a(y) = -16*y**2 - 6*y - 19*y**2 + 34*y**2 + 19. Let w(p) = 4*p**2 - 3*p + 1. What is the remainder when w(-3) is divided by a(-7)?
10
Suppose -3*q = 3*r - 2*r - 44, -r - 4*q + 49 = 0. Suppose -3*f - 9 = 0, 589 = 9*y - 7*y - 3*f. Let a = 301 - y. What is the remainder when r is divided by a?
7
Let t = 343 - 315. Suppose -7*k + 84 = -t. What is the remainder when 62 is divided by k?
14
Let c = 7089 + -7087. Let h be 1/4 - (-18)/(-8). Calculate the remainder when 6*(h - (-24)/9) is divided by c.
0
Suppose 295 = -46*n + 1675. Calculate the remainder when 1258 is divided by n.
28
Let h(p) = p**2 - 11*p + 20. Let y be h(9). Let u be (-8 + y)/(15/(-10)). What is the remainder when u/(-1) + 87 + 72/9 is divided by 16?
11
Let s(j) = 3*j**2 - 85*j + 875. Suppose -5*n + 4*k - 47 = 38, -4*n = -3*k + 69. Calculate the remainder when s(12) is divided by 284/6 - 14/n.
47
Suppose 852 = -2*d + 938. What is the remainder when d is divided by 15?
13
Let i(z) = z**3 + 7*z**2 + 5*z - 4. Let o be i(-6). Let a be (0 - -42)*(-3)/(-12)*o. Suppose a + 27 = 3*j. Calculate the remainder when 47 is divided by j.
15
Let u(l) be the third derivative of l**5/30 + 11*l**4/24 + 13*l**3/6 + 30*l**2. Calculate the remainder when 4/(-6) - (-1744)/24 is divided by u(-6).
15
Let q(a) = -2*a**3 + 40*a**2 - 2*a + 35. Calculate the remainder when q(6) is divided by 19.
5
Let b(p) = -p**3 + 17*p**2 + 15*p + 60. Let c(v) = -13*v + 18. Let u be c(0). What is the remainder when 17 is divided by b(u)?
5
Suppose -2*r - 3*r + 700 = 0. Let y(p) = -p**3 + 3*p - 11. Let m be y(-3). Let z(q) = -q + 54. What is the remainder when r is divided by z(m)?
46
Let z(d) = 2*d**3 + 49*d**2 + 14*d - 112. What is the remainder when 256 is divided by z(-24)?
0
Suppose 0 = -3*h + 8*h - 105. Let y = 48 - h. Let q = -196 + 206. Calculate the remainder when y is divided by q.
7
What is the remainder when 1596 is divided by ((-45 + -3)/6 - -4) + 43*1?
36
Let q = -28477 + 29014. Calculate the remainder when 3228 is divided by q.
6
Suppose 49*j = -26*j + 2850. Calculate the remainder when 75 is divided by j.
37
Let o(i) = -4*i**3 - 81*i**2 - 405*i - 24. Calculate the remainder when 1396 is divided by o(-6).
334
Let h be 6/(-15) + 15/(-25). Let y be (h - (-25)/10)*10. Suppose 3*s + 3*c = 39, s - y = -2*c - 2. What is the remainder when s is divided by 3?
1
Let h = 121 - 588. Let m = h - -493. Calculate the remainder when 440 is divided by m.
24
Let s be 1*-1*(-8)/(24/9). Suppose -s*n + 30 = 2*f, -4*f + 0*f = -3*n - 78. What is the remainder when 46 is divided by f?
10
Suppose 4*j = -3*a + 112, 10*j = 12*j + 3*a - 62. What is the remainder when 1747 is divided by j?
22
Let q(y) be the second derivative of -y**5/20 - y**4/6 - y**3/2 + y**2/2 + 36*y. What is the remainder when 54 is divided by q(-3)?
16
Let c be 4750/16 - 127/(-1016). Let u = 354 + -500. Let k = c + u. Calculate the remainder when k is divided by 11.
8
Suppose -96*n + 97*n + 3*x - 6 = 0, 4*x + 12 = 2*n. Suppose -n*o - o + 1680 = 0. What is the remainder when o is divided by 11?
9
Let t(o) = 380 - 112*o + 102*o - 390. Let y(k) = -k**2 - 10. Let l be y(0). Calculate the remainder when t(l) is divided by 24.
18
Let t = 13223 - 13132. Calculate the remainder when 1540 is divided by t.
84
Let v be ((-21)/(-12))/((-3)/(-12))*1 + 2. Let u be ((-3)/(-6))/(1/28). Suppose -u = 8*a - v*a. Calculate the remainder when 38 is divided by a.
10
Let j = -2390 + 12383. Calculate the remainder when j is divided by 5.
3
Let m be (-1 + -1)/((-2)/37). Suppose 79 - 1159 = -24*x. Let o = x - m. Calculate the remainder when 36 is divided by o.
4
Let i(x) = -x**3 + x**2 + 4*x + 1. Let s(q) = -41*q + 125. Calculate the remainder when i(-3) is divided by s(3).
1
Let z = 44 - 33. Let l = z + 21. Calculate the remainder when (611/26)/((-3)/(-2))*6 is divided by l.
30
Let f = 841 - -229. Calculate the remainder wh