
Suppose 3*n + 5*m = -61, -2*m = -4*n + 46 - 110. Let h = n + 192. Suppose a + 5*c - 23 = 0, 0*a - 5*c = -5*a + h. What is the remainder when a is divided by 7?
5
Calculate the remainder when 138 is divided by ((-280)/(-200))/((-2)/(-70)).
40
Suppose -5*s + 293 = 13. Suppose a - 1 = s. What is the remainder when a is divided by 20?
17
Suppose -4*v + 271 = -425. Suppose f + 40 = 2*f. What is the remainder when f is divided by v/12 + (-2)/4?
12
Let w(d) = -4*d**3 - 12*d**2 - 6*d - 8. What is the remainder when w(-5) is divided by 56?
54
Let m(u) = 36*u + 17. Let x(r) = -8*r + 7. Calculate the remainder when x(-9) is divided by m(0).
11
Calculate the remainder when 498 is divided by ((-282)/(-6) - -3)*4/8.
23
Let z(n) = -2*n - 4. Let a be z(10). Calculate the remainder when 5/(15/(-9)) - a is divided by 12.
9
Suppose 0 = -42*r + 881 + 379. Suppose -2*y = 3*y - 40. What is the remainder when r is divided by y?
6
Let b be (-4 + (-130)/(-15))/(1/6). Let w = b + 66. What is the remainder when w is divided by 12?
10
Let j(v) = -v**2 - 6*v + 7. Let z(b) = -2*b**2 + 76*b + 148. What is the remainder when z(39) is divided by j(-5)?
10
Let z = 21 + -18. Let p = 5 + z. What is the remainder when 38 is divided by p?
6
Let g(m) = -m**3 + 7*m**2 - 4*m. Suppose -18*k - 6 = -19*k. What is the remainder when 106 is divided by g(k)?
10
Let z(k) = -16*k + 2 - 5*k**2 + k**2 + 3*k**2. Let x be z(-17). Let y = 20 + x. Calculate the remainder when 18 is divided by y.
3
Let r(y) be the second derivative of -y**5/20 - 5*y**4/3 - y**3/2 - 4*y**2 - 5*y. Calculate the remainder when r(-20) is divided by 11.
8
Let f(t) = 291*t - 572*t + 284*t. Let x be 61/9 + (-2)/(-9). Calculate the remainder when 62 is divided by f(x).
20
Let c(t) = -17*t + 410. What is the remainder when 394 is divided by c(22)?
34
Let o(a) = 2*a + 29. Let w be o(-16). Calculate the remainder when 2 is divided by 1/((-1)/w*3).
0
Let h be (-108)/(-26) + 6/(-39). Suppose -h*b = -3*b + 6. What is the remainder when ((-36)/(-10))/(b/(-30)) is divided by 10?
8
Let s(f) = -10*f**2 - 6*f - 7. Let z be s(-3). Calculate the remainder when 0 + -3 - ((z - -2) + 1) is divided by 38.
35
Suppose -p = 3*p + 3672. What is the remainder when p/(-4)*12/18 is divided by 14?
13
What is the remainder when ((-61)/4)/((-5)/60) is divided by 47?
42
Let r(p) = -18*p - 123. Calculate the remainder when 123 is divided by r(-8).
18
Suppose 5*u + 61 - 171 = 0. Suppose 0 = 2*j + h - 36 + 15, -2*j + 3*h = -9. Calculate the remainder when u is divided by j.
4
Let y be (24/4 + -6)*1/2. Suppose y = -11*h + 2*h + 657. What is the remainder when h is divided by 15?
13
Let l be 5*(4/(-18) + 492/27). Let y = -82 + l. Calculate the remainder when 21 is divided by y.
5
Suppose -2*o = -2*c - 38 - 54, -5*o + 2*c + 230 = 0. Suppose -42*t + o*t = 160. What is the remainder when t is divided by 15?
10
Suppose -3*b - 36 = -3*p, -7 = 2*b + 4*p + 5. Let f = b + 13. Suppose 12 = -f*g + 5*g. Calculate the remainder when 23 is divided by g.
5
Let j(u) = u**2 + 5*u + 10. Let z be j(-6). Suppose -z = h - 4. What is the remainder when 389/7 - h/28 is divided by 19?
18
Suppose 20*s = 8*s. Suppose s = 69*t - 67*t - 80. Calculate the remainder when t is divided by 9.
4
Let h(c) = c**2 + c + 6. Let s be h(0). Suppose 0 = 3*b - b - s. Suppose 7 = t - b. Calculate the remainder when t is divided by 6.
4
Suppose 3*b = 4*b - 2*y - 21, 0 = 2*y. What is the remainder when (-6)/7*(-49476)/342 is divided by b?
19
Suppose 0 = 4*h + s - 65, -3*s - 45 = -2*h - 16. Calculate the remainder when 735 is divided by h.
15
Let s(d) = -d**2 - 10*d + 2. Let v(y) = -y - 1. Let z(q) = s(q) + 2*v(q). What is the remainder when z(-5) is divided by 19?
16
Let g = 59 - 98. Let y = -32 - g. Suppose 0 = -5*i + 15. What is the remainder when y is divided by i?
1
Let i = -197 + 241. What is the remainder when i is divided by 16?
12
Let v(s) = 8*s - 2. Let d be 4/(3 + (-4 - 1)). Let u be ((-6)/d)/6*12. What is the remainder when v(u) is divided by 12?
10
Suppose 3 = f + h - 6, -5*h + 3 = -2*f. Suppose -2 = d, -2*z + 0*d + 5*d + 52 = 0. What is the remainder when z is divided by f?
3
Let l(a) = -5*a**2 - 18 - 6*a**2 + 13 - 5*a**2 - a**3 + 16*a. Let w be l(-17). Calculate the remainder when ((-4)/6)/((-1)/w) is divided by 5.
3
Let s = 145 - 59. Calculate the remainder when s is divided by 30.
26
Let m(o) = 2*o**2 - 6*o + 7. Suppose i - 2*i - 2 = -h, 2*i = 0. Suppose -h*a + 16 = a - k, 0 = a - 5*k + 4. Calculate the remainder when m(a) is divided by 11.
10
Suppose -14 = -4*h - 2*i, -5*h = -i - 13 - 15. Calculate the remainder when 589 is divided by h.
4
Calculate the remainder when 172 is divided by 195/6 - (-77)/(-22).
27
Let a(b) = 4*b - 65. Calculate the remainder when 85 is divided by a(18).
1
Let z(a) = a**3 + 12*a**2 - 4*a - 5. Let r be z(-12). Let g = -14 + r. What is the remainder when g is divided by 11?
7
Suppose -3*y - 11 = 5*f - 243, f = -y + 80. Calculate the remainder when 321 is divided by y.
69
Let c be (-24)/(-16)*(-2)/3. Let h = c + 3. Suppose -h*i + 295 = 4*z - i, i = 2*z - 143. What is the remainder when z is divided by 19?
16
Suppose 3*n - 531 = 3*x, 0 = 4*n + 2*x - 435 - 249. What is the remainder when n is divided by 67?
39
Let m(z) = 14*z - 2*z**2 - 12*z - 1 - z**3 + 5. Let u be m(-4). Suppose i - 20 = -3*r, i + 5*r = -4 + u. Calculate the remainder when 41 is divided by i.
13
Calculate the remainder when (15 - (4 + 4)) + 472 is divided by 69.
65
Let m = 6 + 0. Let j(k) = k**3 + 6*k**2 - 2. Suppose 4*q + 11 + 9 = 0. What is the remainder when j(q) is divided by m?
5
Suppose -4*f - 47 = -175. Let t(d) = 5*d**2 + 8*d - 71. Calculate the remainder when t(-6) is divided by f.
29
Suppose 18*k - k = 51. Let h = -1 - -1. Suppose 4*j - 24 = -j + k*x, j - 3*x = h. Calculate the remainder when 9 is divided by j.
3
Let i(s) = 7*s**2 - 6*s**2 + 0*s + 6*s**2 - s. Calculate the remainder when i(2) is divided by 5.
1
Let y = 345 - 329. Let k = -14 + 59. What is the remainder when k is divided by y?
13
Let l be 51/18 + 3/18. Suppose 3 = l*z + 3*u, 2*z - 2*u + 4 = 5*z. Let p = 4 + z. Calculate the remainder when 33 is divided by p.
3
Let a = -256 - -298. Calculate the remainder when a is divided by 9.
6
Suppose 0 = -553*y + 552*y + 32. Calculate the remainder when 317 is divided by y.
29
Let b = -1 + 28. Suppose 5 = -5*w, 4*g = 3*w + 36 + b. Suppose -4*k - 9 + 29 = 0. What is the remainder when g is divided by k?
0
Suppose -4*q - 2*n + 144 = 2*n, 144 = 4*q + n. Calculate the remainder when q is divided by (-6 + 7*(-54)/(-45))*(-20)/(-6).
4
Suppose 0 = 18*u + 1178 - 3248. Calculate the remainder when u is divided by 64.
51
Let m = 552 + -469. Calculate the remainder when m is divided by 9.
2
Suppose -140 = -12*x - 56. What is the remainder when 41 is divided by x?
6
Let i = 691 - 678. What is the remainder when 34 - 3*(-2)/3 is divided by i?
10
Suppose -3*p + 16 = 4*h, 13 = 2*h - 4*p + 5. Suppose -a - 99 = -h*o - 2*a, o - 5*a = 9. What is the remainder when 1/(-2)*(-143 - -1) is divided by o?
23
What is the remainder when 111 is divided by 4 - 0 - (-21 - -6)?
16
Let g = -94 + -281. Suppose u = -2*t + 5*u + 18, -2*t + 26 = -2*u. Calculate the remainder when (g/(-10))/((-6)/(-8)) is divided by t.
16
Let h = 27 + -25. Suppose -4*x + h*n + 2*n = -64, -5*x = 4*n - 53. What is the remainder when 27 is divided by x?
1
Suppose 0 = -h + 3*h + 4*b + 82, 0 = -3*h - 3*b - 126. Let c = h - -57. What is the remainder when 50 is divided by c?
8
Let w = -1735 + 2452. Calculate the remainder when w is divided by 16.
13
Suppose 23*d = 20*d + 6. Suppose -2 = -2*r - r + 4*z, -d*z + 8 = 3*r. What is the remainder when 19 is divided by (r + 0)/(2/11)?
8
Suppose 146*p - 137*p - 45 = 0. What is the remainder when 11 is divided by p?
1
Suppose 0 = -2*s + 5 + 1. Let m(p) = 2*p**3 + 4*p**2 - 4*p + 1. Suppose 0 = -3*f + 40 + 8. Calculate the remainder when m(s) is divided by f.
15
What is the remainder when (-1)/(3*(-10)/390) is divided by 9?
4
Let t(o) = -o**2 - 3*o + 5. Let v(n) = -1. Let y(r) = t(r) - 4*v(r). Suppose -12 = -b - 3*b. Calculate the remainder when y(-3) is divided by b.
0
Let a = -546 + 569. What is the remainder when 68 is divided by a?
22
Let p = 56 - 65. Let i(l) = l**2 + 5*l - 19. Calculate