e -h + 55 = -2*p. Calculate the remainder when p is divided by 5.
4
Let v(u) = 21*u + 44. What is the remainder when 623 is divided by v(-2)?
1
Suppose 20*k = 84 + 676. Calculate the remainder when 110 is divided by k.
34
Let n(l) be the second derivative of l**4/12 + 4*l**3/3 + 11*l**2 + 53*l. Calculate the remainder when 131 is divided by n(-8).
21
Let i(q) = 17*q - 7. Let h be i(3). Suppose 0 = -2*a + h + 20. Calculate the remainder when a is divided by 17.
15
Let q(b) = 8*b - 107. Let s be 3/(3/(-43)) - 1. Let z = 80 + s. Calculate the remainder when z is divided by q(15).
10
Suppose -25 = -4*h - 1. Suppose 0 = -f + h. What is the remainder when 17 is divided by f?
5
Suppose h = -3, -h + 31 = 4*y - 14. Calculate the remainder when (-8 - -3 - -10)*(-1 - -10) is divided by y.
9
Let q = 18 + 499. Calculate the remainder when q is divided by 52.
49
Suppose 3*u - 98 = 5*v, 15 = -3*u + 3. Let g = 19 + v. Let s(h) = 2*h**3 + 8*h**2 + 3*h - 3. What is the remainder when s(g) is divided by 3?
0
Suppose -7 = -6*w + 125. Calculate the remainder when 261 is divided by w.
19
Suppose j - 1181 = -3*s, -s + 2*j + 121 = -275. Calculate the remainder when s is divided by 141.
112
Let x(i) = -i - 4. Let b be ((-2)/4)/(1/12). Calculate the remainder when ((2/(-3))/2)/(15/(-135)) is divided by x(b).
1
Suppose 2 = -z + 21. Calculate the remainder when 3/(-3)*4*-14 is divided by z.
18
Suppose -5*r + 496 = 2*v, 0 = r + 4*v + v - 90. Suppose -r = -3*n - z, 5*z + 27 - 177 = -5*n. What is the remainder when n is divided by 10?
5
Suppose 0 = 3*o + 4*h - 467, 0 = 128*h - 123*h - 10. What is the remainder when o is divided by 54?
45
Suppose 33*t - 39 = 225. Calculate the remainder when 18 + (0 - 0 - -1) is divided by t.
3
Suppose -3*x = 4*p + 19 + 12, -5*p - 38 = 3*x. Let i be (-1 - 34)*(-6)/(-5). Calculate the remainder when p/i - (-113)/6 is divided by 10.
9
What is the remainder when 22 + 185 + 4 + 0 is divided by 48?
19
Suppose 30 = -2*j - 3*j. Let u = j + 10. Suppose 2*k - 5*t = 16, u*k - 12 = 4*t + 8. What is the remainder when k is divided by 3?
0
Suppose 2*g + 2*d - 56 = 0, -g + 87 = 2*g + 4*d. What is the remainder when 63 is divided by g?
13
Suppose -z = 4*l - 337, -5*z - 110 = -4*l + 221. Suppose 0 = 5*s + 29 - l. Let a = -11 + 15. What is the remainder when s is divided by a?
3
Let k(s) = -2*s - 2. Let f be k(-1). Suppose f*z = 7*z - 511. What is the remainder when z is divided by 19?
16
Let w(r) = -r**3 - 9*r**2 + 9*r + 16. Calculate the remainder when 94 is divided by w(-10).
16
Suppose 1 = v - 11. Let q be 3346/v - (-4)/24. Let r = -177 + q. Calculate the remainder when r is divided by 35.
32
Let c = 36 + -30. Let h(r) = -r**3 + 5*r**2 + 9*r - 13. Let t(z) = -z**3 - 4*z**2 + z - 2. Calculate the remainder when t(-5) is divided by h(c).
3
Calculate the remainder when -4 + (-4)/((-32)/648) is divided by 17.
9
Suppose -19*k + 740 = -9*k. Calculate the remainder when k is divided by 39.
35
Let c be (-8)/(-2 - -6) + 6. Let d be (0/c - -10) + 0. Calculate the remainder when (-11 + 2)/((-2)/d) is divided by 16.
13
Let k = -1 - -1. Suppose 4*a - 2*x = -a + 341, 203 = 3*a - 2*x. Suppose 3*t = -k*t + a. What is the remainder when 68 is divided by t?
22
Let t(f) = -f**3 + 50*f**2 + 5*f - 102. What is the remainder when t(50) is divided by 50?
48
Suppose -i + o - 21 = -3*i, 2*i - 5*o - 27 = 0. What is the remainder when 41 is divided by i?
8
Suppose 0 = 2*p + 3*f - 193, 0 = 14*p - 9*p + 3*f - 478. Calculate the remainder when p is divided by 54.
41
Suppose 18*k = 7*k + 418. What is the remainder when k is divided by 7?
3
Let g(o) = 2*o**2 - 2*o + 6. Suppose 2 + 14 = -4*a. Calculate the remainder when 88 is divided by g(a).
42
Let c(b) = 203*b - 970. What is the remainder when 409 is divided by c(5)?
4
Suppose -415 = -8*q + 3*q. Suppose -2*l + 60 = 3*a - 3*l, -5*a + 5*l = -90. What is the remainder when q is divided by a?
20
Suppose m = -2*t + 5*t + 20, 3*t = -2*m - 5. Suppose 4*i - 91 = m*q, 3*i - 72 = -2*q + 5*q. Calculate the remainder when 111 is divided by i.
24
Let t(m) = 2*m - 21. Let o(n) = 5*n - 41. Let f(i) = -3*o(i) + 5*t(i). What is the remainder when 17 is divided by f(3)?
2
Calculate the remainder when 275 is divided by ((-134)/10)/(65/(-325)).
7
What is the remainder when 33 is divided by (-9)/((-63)/98) + -5?
6
Let g = -7 + 13. Let d be 5/(-10) - g/4. What is the remainder when 6 + 5/((-5)/d) is divided by 3?
2
Suppose -10 = -2*v + 26. Suppose 0 = 9*p - 7*p - 14. Calculate the remainder when (0 - v)/(-8 - -7) is divided by p.
4
What is the remainder when 637 is divided by 138/7 - (-36)/126?
17
Suppose -2*u + 3*u + 8 = 5*m, m + 20 = 2*u. Let x(t) = -t**2 + 12*t + 3. Let o be x(u). Calculate the remainder when 97 is divided by -7 + 29 + o/1.
22
Let l(m) = 5*m**2 - m - 3. What is the remainder when 35 is divided by l(2)?
5
Suppose -29 = 2*s + 4*b + 37, -5*s = b + 120. Let r = 48 + s. Calculate the remainder when 73 is divided by r.
23
Let s = 170 + -71. Let a be ((-2)/(-3))/((-11)/s). What is the remainder when 35 is divided by 206/16 - a/48?
9
What is the remainder when (-150)/14*147/(-21) is divided by 40?
35
Suppose 0 = -2*i + i + 13. Let h be (2 + 1)/(6/20). What is the remainder when 1472/40 - (-2)/h is divided by i?
11
Let g(w) = w**2 + 17*w + 15. Let u be g(-16). Let m = -1 - u. Suppose m = 3*t - 7 - 35. Calculate the remainder when t is divided by 4.
2
Suppose 1 = -2*l - 1. Calculate the remainder when 18 is divided by (4 - 4) + 8 + l.
4
Suppose -2*b - c = -3*b - 153, 0 = 5*c + 5. Let m = b - -232. What is the remainder when m is divided by 20?
18
Let i(s) = 5*s**2 - 2*s - 1. Let o be i(-1). Let w(y) = 3*y**2 - y - 5. Let l be w(5). Suppose -l = -o*m + m. Calculate the remainder when 49 is divided by m.
10
Calculate the remainder when 129 is divided by (-455)/(-10) - (-6)/(-12).
39
Let o be (2/(-6))/((-3)/27). Suppose 5*g + 45 = 5*x, -x - 3*g = -o*x + 23. What is the remainder when x + -5 + (-1 - -39) is divided by 10?
7
Let q(p) = p**3 - 12*p**2 - 27*p + 14. Let n be q(14). Calculate the remainder when (-2 - -20)/((-1)/(-1)) is divided by 242/34 - n/238.
4
Suppose -43*q + 13*q + 3360 = 0. What is the remainder when 206 is divided by q?
94
Let p(j) = -38*j - 9. Suppose 2*d - 68 = 16*z - 12*z, 3*z + 117 = 3*d. Calculate the remainder when p(-6) is divided by d.
43
Let u(h) = 35*h**3 + h**2 - 2*h + 1. Suppose -6*r + 8*r + 16 = 0. Calculate the remainder when u(1) is divided by (-1)/(-2) + (-68)/r.
8
Let d be 34/8 + 1/(-4). What is the remainder when 139 is divided by (2 - (-66)/3) + d?
27
Let u(x) = 9*x**2 + 3*x - 13. Calculate the remainder when u(-11) is divided by 58.
57
Let b = 64 + -172. Let n be (6/(-9))/(4/b). Let p = -8 + n. Calculate the remainder when 39 is divided by p.
9
Suppose 2*o = -12*q + 7*q + 46, -3*q + o + 32 = 0. Let d(b) = 4*b + 1. What is the remainder when d(9) is divided by q?
7
Let y(x) = -5*x - 4. Let t(u) = -2*u - 2. Let w(j) = -7*t(j) + 3*y(j). Calculate the remainder when 39 is divided by w(-6).
7
Suppose 5*h - v + 92 = 0, 3*h - 3*v + 48 = -0*v. Let k = 36 + h. What is the remainder when 288 is divided by k?
16
Let j(k) = k**3 + 24*k**2 - 34*k - 17. Let f(s) = s - 44. Let l be f(19). What is the remainder when j(l) is divided by 30?
28
Suppose -10*d + 216 = -9*d - r, 2*r = -3*d + 658. Calculate the remainder when d is divided by 17.
14
Suppose 112*j - 501 = 283. Let x(v) = 3*v**2 - v. Let h be x(1). Suppose h*d = d + 20. Calculate the remainder when d is divided by j.
6
Suppose 46 = 2*a + 9*j - 7*j, -3*j = 2*a - 44. Let l(v) = 2*v**3 - 5*v**2 - 3*v - 11. Calculate the remainder when l(5) is divided by a.
24
Suppose -3*c = 3*c - 1260. What is the remainder when c is divided by 66?
12
Let z(p) = p**2 + 11*p - 22. Let i be z(-13). Let h(u) = 2*u**2 - 4*u - 5. Calculate the remainder when 65 is divided by h(i).
10
Suppose 0 = -3*k - 7*t + 10*t + 474, -2*t + 494 = 3*k. What is the remainder when k is divided by 45?
27
Suppose -2 = -4*h + 46. Calculate the remainder when h is divided by 8.
4
Let b be 4/6*(-12)/(-1). Suppose 30 = 2*j + b. Calculate the remainder when 41 is divided by j.
8
Let q(p) = -p**2 + p + 4. Let b be q(2). Suppose -2*i + i + 33 = -b*h, -3*i = -4*h - 99. Calculate the remainder when i is divided by 1