5*a + 141 + z = 0. What is the remainder when a is divided by 16?
13
Calculate the remainder when 4*2*1690/40 is divided by 43.
37
Let v(x) = -10*x - 6. What is the remainder when 52 is divided by v(-2)?
10
Suppose -5*r + 3*p = -50, 86 = 5*r + 3*p + 6. Calculate the remainder when 127 is divided by r.
10
Let x(d) = d**3 - 6*d**2 - 9*d + 2. Let r be x(7). Let y be 1/6 - 874/r. Let f = y + -46. What is the remainder when f is divided by 7?
6
Let i be (-2)/2*(-5)/1*3. Suppose 4*w - 61 = i. What is the remainder when 73 is divided by w?
16
Let j(c) = 20*c - 39. Let y(m) = m**3 - 7*m**2 - 7*m + 3. Let z be y(8). Calculate the remainder when j(z) is divided by 46.
43
Suppose -10*s - 9*s + 931 = 0. Calculate the remainder when 130 is divided by s.
32
Let d be 4/(0 - 2)*-1. Let p = -25 + 31. Suppose 2*s - 5*s - 2*x = -14, -p = -s - d*x. Calculate the remainder when 7 is divided by s.
3
Let q = -4 + 10. Calculate the remainder when (30/35)/1*(0 - -7) is divided by q.
0
Let p = 29 - 22. Let z(c) = -5*c + 1. Calculate the remainder when -1 - -64 - (p - 6) is divided by z(-4).
20
Calculate the remainder when 27/(-18) - 117/(-6) is divided by 3.
0
Let f = 28 - 31. Let t(p) = -6*p**3 - 2*p**2 + p + 1. What is the remainder when t(f) is divided by 24?
22
Suppose -9*y + 12*y = 15, -3*f = 3*y - 216. What is the remainder when 663 is divided by f?
60
Let x(i) = -15 + 7 - 3 - 24*i. Calculate the remainder when x(-5) is divided by 16.
13
Let u be (-4)/12*5*-3. Suppose 0 = -4*t - 5*o + 112, -t - 2*t = u*o - 79. Suppose t = 3*j - 36. Calculate the remainder when j is divided by 13.
10
Let y(n) = -7*n + 6*n - 11*n**2 - 7 + 2 - n**3 - 10*n. Let w = -35 + 54. Calculate the remainder when w is divided by y(-10).
4
Suppose -2*z + 3*z = 1, 0 = -g - z + 65. Let m = -43 + g. What is the remainder when 99 is divided by m?
15
Suppose 3*l - 6 = l. Suppose -2*m = 3*c - 7, -5*c + 2*c = m - 8. Suppose c*q + 9 = 6*q. What is the remainder when l is divided by q?
0
Let t be -10*((-2)/4 - 0). Suppose 4*w = -5*j + 160, 0 = -t*w - j + 3*j + 233. Calculate the remainder when 55 is divided by (-36)/w*35/(-2).
13
Suppose -6*y - 2*q = -y - 365, 292 = 4*y + 5*q. Calculate the remainder when y is divided by 28.
17
Suppose -32 = -5*h + 2*c, 3*h - 4*c = -2*c + 20. Calculate the remainder when 22 is divided by h.
4
Let j be 82 + (5 + -3)*-1. What is the remainder when 6/(-10) - (-2368)/j is divided by 7?
1
Suppose 2*u + 10 = -2*m - 0*u, -m + u + 5 = 0. Let d(n) = -6 + 3*n**3 + 6*n + 8*n**2 - 4*n**3 + 2*n**3 + m. What is the remainder when d(-6) is divided by 16?
14
Let n(h) = -h**3 + 15*h**2 - 9*h + 11. Let j be ((-7)/(-4))/(18/144). Calculate the remainder when n(j) is divided by 41.
40
Suppose 4*m + m - 190 = 0. Let z(u) = -41*u + 1056. Calculate the remainder when z(23) is divided by m.
37
Let u be ((-2 - -1)*-2)/1. Suppose 0 = u*l - 8 - 16. Calculate the remainder when (-17)/(12/(-8) + 1) is divided by l.
10
Let r(q) = q**3 - 8*q**2 + 23*q - 51. Calculate the remainder when 80 is divided by r(7).
19
Let j = 22 + -72. Suppose 2*o = 2*a + a + 215, -353 = 5*a + 2*o. Let k = j - a. Calculate the remainder when 41 is divided by k.
20
Suppose 3*r = -131 + 296. What is the remainder when r is divided by 7?
6
Suppose 5*a - 109 = -l, l + 0*a - 89 = -a. What is the remainder when l is divided by 4/(-66)*-366 - (-18)/(-99)?
18
Let o be 0 + (-3 - 1) + 12. Suppose t - o = -0*t + 3*j, -5*t + 2*j + 53 = 0. Calculate the remainder when t is divided by 4.
3
Let g(u) = u**2 - u + 48. Let r be g(13). Let x = 285 - r. What is the remainder when x is divided by 23?
12
What is the remainder when 140 is divided by 2/(-4) - 138/(-4)?
4
Suppose 3*d - 17 = -3*m + 34, -47 = -3*d - 2*m. Suppose 4*o = 2*u - 48, -6*o - 92 = -3*u - 4*o. Let z = u - 11. What is the remainder when z is divided by d?
10
Suppose -6 = -4*i + 2. Suppose 5 = -0*m - m, 0 = i*r - 5*m - 119. Calculate the remainder when r is divided by 16.
15
Suppose 23*u - 666 = 47. What is the remainder when u is divided by 6?
1
Suppose 2*y = 6 - 2. Let x(d) = 9 - 11*d**y - 5*d**2 + 17*d**2 + 10*d. What is the remainder when 26 is divided by x(-10)?
8
Let y(a) = a**3 + 5*a**2 + 3*a + 8. Let j(g) = g**3 - 9*g**2 + 8*g - 4. Let l be j(8). What is the remainder when 20 is divided by y(l)?
8
Let q = -953 - -997. Calculate the remainder when 170 is divided by q.
38
Let u be 12*1/2 + -1. Suppose -4*v + 8*v = -r + 91, 0 = r + u. Let b = 23 + -14. What is the remainder when v is divided by b?
6
Let t(h) = -h**2 - 18*h - 17. Calculate the remainder when t(-10) is divided by 1/(2 + 31/(-16)).
15
Let c(l) = l + 12. Let b be c(-9). Suppose -b*u - 2*d = -6, -5*u + 2*d + 8 = -u. Let q = 0 + u. Calculate the remainder when q is divided by 1.
0
Let v(k) = -k**2 + 41*k + 6. Let o(r) = 8*r + 1. Let t(x) = 11*o(x) - 2*v(x). What is the remainder when t(-4) is divided by 4 - 0/(-1 + 0)?
3
Suppose 16 = -9*c + 79. Suppose 4*t = 2*q - 94, 0 + 2 = 2*t. Let v = q - 16. Calculate the remainder when v is divided by c.
5
Let h = -186 - -562. Calculate the remainder when h is divided by 20.
16
Let o = 135 - 97. What is the remainder when 139 is divided by o?
25
Suppose 15*o - 1193 = 97. Calculate the remainder when 97 is divided by o.
11
Suppose -5*m = -3*m - 14. Suppose 3*z + 68 = m*z. Calculate the remainder when 66 is divided by z.
15
Suppose 18*s + 461 = 1559. Calculate the remainder when 121 is divided by s.
60
Let p(u) = -44*u + 20. What is the remainder when p(-4) is divided by 66?
64
Suppose 2*y - 5*y + 12 = 3*b, y + 1 = 4*b. Suppose -2*u + y = -5. What is the remainder when 23 is divided by u?
3
Suppose 2*l - 17 + 40 = w, 3*w - 66 = 3*l. Calculate the remainder when 60 is divided by w.
18
Let l = -2451 + 2472. Let j(n) = 34*n + 2. Calculate the remainder when j(3) is divided by l.
20
Let t be (-2 + -1 - -137) + -4. Suppose 5*d + t = 4*v, -103 = v - 4*v + d. Calculate the remainder when v is divided by 13.
9
What is the remainder when 1*(3 + 1 + 0 - -2) is divided by 4*-3*5/(-20)?
0
Let x(s) = -7*s**3 + 2*s**2 + 21*s - 3. What is the remainder when x(-4) is divided by 44?
41
Let o(i) = 7 + 4*i**2 - i**3 + 14 - 17 + 5*i. What is the remainder when 10 is divided by o(5)?
2
Let d be (-86)/(-18) - 4/(-18). Let z(y) be the third derivative of y**4/8 - y**3/3 - 7*y**2. Calculate the remainder when 23 is divided by z(d).
10
Suppose 2*m = -2*m + 32. Let w = -7 - -38. What is the remainder when (m - 6)/(4/182) is divided by w?
29
Suppose 10*a - 68 = 422. What is the remainder when a is divided by 13?
10
Let l be 8 - (4 + 0 - 2). Let y(z) = 4*z + 4. Let o be y(l). Let c = -18 + o. What is the remainder when 37 is divided by c?
7
Let r = -186 - -209. Suppose 2*z = -2*u - z + 104, -3*u + 155 = 5*z. Calculate the remainder when u is divided by r.
9
Let n(w) = w**2 + w + 1. Suppose 4*r - 192 = -2*r. What is the remainder when r is divided by n(-3)?
4
Let b = 519 - 171. Calculate the remainder when b is divided by 7.
5
Suppose z = -2*z + 6. Suppose 0 = 5*p - 2*p + d - 70, 2*p - 44 = -z*d. Let b(v) = -2*v**3 - 8*v**2 - 4*v + 1. What is the remainder when b(-5) is divided by p?
23
Suppose -2*j + 6*j + 4*d = -44, 31 = -2*j - 5*d. Let x be -1 + 2/((-4)/(-26)). Let y = x + j. Calculate the remainder when 10 is divided by y.
2
Suppose 6*x + 30 = n + 10*x, 25 = 5*x. Calculate the remainder when 99 is divided by n.
9
Let j(x) = -x**3 + 12*x**2 - 8*x + 16. Calculate the remainder when j(11) is divided by 13.
10
Suppose g - 41 = -5*h, -4*g + 18 = 5*h - 11. What is the remainder when 40 is divided by h?
4
Calculate the remainder when 6/((-11725)/(-44622) + 2/(-9)) is divided by 76.
72
Let a be (5 - 9)/((-2)/4). Let r(m) = -m**2 + 6*m + 9. Let y be r(a). What is the remainder when 6 - 4 - (y - -1) is divided by 3?
2
Let g = 52 - -17. Suppose -219 + g = -3*k. Suppose -k = -5*j + z, -4*j + 0*z + z + 39 = 0. What is the remainder when j is divided by 3?
2
Suppose 6*d = 8*d - 34. Let v = -74 - -140. What is the remainder when v is divided by d?
15
Let z = -321 - -560. What is the remainder when z is divided by 20?
19
Suppose -3*n - 156 - 114 = -4*p, -2*p - n = -140. Calculate the remainder when p is divided by 10.
9
Let v = 9 - 4. Let s be (-438)/(-10) + (-1)/(-5). Suppose s = v*h - 26. Calculate the remai