3
Calculate the remainder when 71 - (-7 - 6/(-2)) is divided by 39.
36
Suppose 0 = 4*d - 7*d + 5*z + 36, 2*z = -4*d + 74. Calculate the remainder when 22 is divided by d.
5
Suppose 0*m = 2*w + 4*m + 8, -4 = -2*w - m. Suppose -2*g = 4, 2*d + 4 = -0*d - w*g. Calculate the remainder when 4 is divided by d.
0
Suppose 2*s = -5*x + 100 + 24, 4*x = 0. What is the remainder when s is divided by 573/27 + (-1)/(18/4)?
20
Let c(m) = 10*m. Let o = 1392 + -1356. What is the remainder when o is divided by c(2)?
16
Suppose 10*l = 6*l + 4*i - 4, -4*i + 10 = -2*l. Calculate the remainder when 22 is divided by l.
1
Suppose -243*d = -250*d - 35. Suppose -k + o + 2 = 0, -2*k - 5 = 3*o + 1. What is the remainder when 52 is divided by 3 - d*3 - k?
16
Suppose 0 = 17*q - 45*q + 252. Calculate the remainder when 230 is divided by q.
5
Let h(s) = -9*s**2 - 109*s. Let p(d) = -d**3 - d**2 + d + 5. Calculate the remainder when h(-12) is divided by p(0).
2
Suppose -g = -2*g + 3. Suppose 0 = -96*z + 109*z - 195. What is the remainder when z is divided by g?
0
Let k = -204 + 292. Suppose -y = 2 - 8. Calculate the remainder when k is divided by y/9 - (-208)/12.
16
Let y(d) = -d**2 - 2*d + 1. Let m be y(-2). Let j = m - -4. Let o(q) = -q**2 + 14*q - 25. Calculate the remainder when o(8) is divided by j.
3
Let d(u) = -u**2 + 21*u + 26. Let x be d(22). Calculate the remainder when (-340)/(-12) - x/(-6) is divided by 8.
5
Let a be (-3)/((-18)/15)*14. Suppose 4*m + 20 = 0, a + 18 = 3*y - 4*m. What is the remainder when ((-31)/(-2) - 0)*2 is divided by y?
9
Let i = -5 - -30. Let r be 5/(20/12) + -1. Suppose -y - 7*g = -r*g - 92, y - 4*g = 101. What is the remainder when y is divided by i?
22
Let l(j) = -2*j - 47. Let h be l(-21). What is the remainder when 3 + 60/(-4 - h) is divided by 33?
30
Let j be 260/28 - 4/14. Let o be 127/5 - j/(-15). Suppose x - 2*f - 16 = 0, -f - o - 52 = -4*x. Calculate the remainder when x is divided by 7.
6
Suppose 0 = -5*a - 76 - 24. Let d be (-1166)/(-4) - 10/a. Suppose -4*y + 2*l = -l - d, -5*y + 365 = -l. What is the remainder when y is divided by 25?
23
Suppose 0*i - 4*i + 2*j = 46, -4*j + 52 = -4*i. Let u = i + 32. Let v(h) = 2*h**2 + 55*h + 90. What is the remainder when v(-27) is divided by u?
19
Suppose u - 8 - 44 = 5*r, -u - 5*r + 22 = 0. Calculate the remainder when 140 is divided by u.
29
Suppose 16 = -4*n + 80. Suppose 5*v + 2*d + 100 + 12 = 0, 5*d = 2*v + 39. Let q(l) = -l + 39. Calculate the remainder when q(v) is divided by n.
13
Let i(k) = -49*k - 546. What is the remainder when i(-14) is divided by 49?
42
Suppose -8*m + 5*q = -7*m - 413, -4*m + 1577 = -5*q. What is the remainder when m is divided by 7?
3
Let q = -958 - -1017. Calculate the remainder when q is divided by 5.
4
Suppose 17*z - 838 = 46. What is the remainder when 109 is divided by z?
5
Let w = 69 + -60. What is the remainder when 49 is divided by -13*(2 - 1 - (-7 + w))?
10
Let k(n) = 4*n**2 - n - 1. Let t(y) = y**3 - 8*y**2 + 8*y - 8. Let z be t(7). Let c(m) = m + 13. What is the remainder when c(-6) is divided by k(z)?
3
Let n(g) = -7*g + 163. What is the remainder when n(16) is divided by 16?
3
Suppose -908 - 181 = -11*g. What is the remainder when g is divided by 55?
44
Let n(l) = 9 - 3 - 6*l + 11 + l. What is the remainder when n(-6) is divided by 10?
7
Let b = -42 - -24. Let w = b + 31. What is the remainder when w is divided by 8?
5
Let u(p) = 5*p**2 + 9*p - 70. What is the remainder when u(6) is divided by 41?
0
Let i = -68 + 71. Calculate the remainder when 9 is divided by i.
0
Suppose 12 = -k + 95. Calculate the remainder when k is divided by 12.
11
Let t(p) = 4*p - 20. Let m = 2 - -4. Calculate the remainder when 10 is divided by t(m).
2
Suppose -3*h - y = -4*h + 59, 244 = 4*h + 4*y. What is the remainder when h is divided by 43?
17
Let h = 1426 + -1237. Calculate the remainder when h is divided by 20.
9
Let k be (-2)/(-3) + 60/(-9). Let t be (4/3)/((-2)/k). Suppose 0 = -t*o - 3*u + 136, o + 3*u = -2*u + 17. What is the remainder when o is divided by 8?
5
Let a(g) = 18*g + 2. What is the remainder when a(1) is divided by 4?
0
Let x(v) = v**2 - 4*v + 32. Calculate the remainder when x(7) is divided by 2 + (2 - (1 - (17 + -1))).
15
Let l(n) = n**3 + 5*n**2 - 7*n - 25. What is the remainder when 34 is divided by l(-5)?
4
Let y(l) = -l**3 + 12*l**2 - 8*l + 9. Let q be y(7). Let p = -106 + q. Calculate the remainder when p is divided by 24.
20
Suppose -3*g + 281 = 4*w, -2*w = 3*g + 8 - 153. Calculate the remainder when 193 is divided by w.
57
Let k(v) = v**2 + v - 15. Suppose -9*n + 16 = -5*n. What is the remainder when 17 is divided by k(n)?
2
Let t(k) = -4 + 2 + 19 - 3*k + 4*k. Let x be t(-12). Suppose -x*y + 277 - 72 = 0. Calculate the remainder when y is divided by 15.
11
Suppose 16*q = 18*q + 124. Let t = -44 - q. Calculate the remainder when 71 is divided by t.
17
Suppose 5*q - 285 = -35. Let f(h) = -h**3 + 5*h + 5. What is the remainder when q is divided by f(-3)?
16
Let m = -16 + 19. Let b(z) = -2*z - 41*z**m - 35 + 14 + 19. Calculate the remainder when b(-1) is divided by 21.
20
Suppose 10*j + 215 = 835. Suppose 9 = 4*p - 55. Calculate the remainder when j is divided by p.
14
Let u(b) = -6*b + 1. Let i(z) = -7*z + 2. Let c(r) = 6*i(r) - 5*u(r). Let y be c(-7). Let n = 133 - y. Calculate the remainder when n is divided by 15.
12
Let w(r) = -5*r + 19. Let c be w(-7). Let p = -36 + c. Suppose f = 5 - 0. Calculate the remainder when p is divided by f.
3
Let x(g) = g**3 + 1 + 2*g**2 + 14*g**2 - 11 - g + 18*g. What is the remainder when x(-14) is divided by 21?
18
Suppose -7*p - 29 = -8. What is the remainder when 9 is divided by (-8)/24 - 13/p?
1
Suppose 4 = -4*i - 4, -2*i - 8 = -2*p. Let u(v) = 16*v + 2. Suppose 1484 - 1574 = -5*o. What is the remainder when u(p) is divided by o?
16
What is the remainder when 359 is divided by (681/(-231) - (-5)/55)*-7?
19
Suppose 4*w - 8 = 0, -3*v - 3*w + 60 = -0*w. Suppose 9*f = 646 - 178. Suppose -o + f + 17 = 0. Calculate the remainder when o is divided by v.
15
Let s = 30 - -113. Calculate the remainder when s is divided by 18.
17
Let u be (-6)/(4 - 6) + 6. Suppose 5*w = -2*s + 60, -5*s + 45 = 3*w + u. What is the remainder when w is divided by 2?
0
Let t(a) = -a**2 - 2*a**3 + 12*a**3 - 5*a**3 - 1 - 3*a**3. Let n be t(2). Let m(k) = k - 9. What is the remainder when 5 is divided by m(n)?
1
Suppose -10*n + 44 = -14*n. Let q(t) = -t + 4. What is the remainder when q(n) is divided by 6?
3
Let n(l) = 3*l**2 - 54*l + 20. Calculate the remainder when 39 is divided by n(18).
19
Suppose -4*l + 34 = 10. Calculate the remainder when 136 is divided by l.
4
Suppose 10*t - 3604 = 526. What is the remainder when t is divided by 16?
13
Suppose 3*x = -0 + 186. Suppose 2*p = -3*n + 6, -2 = 2*p + n - 16. Calculate the remainder when x is divided by p.
8
Let w(x) = -x**2 - 5*x + 2. Suppose -3*y - y - 20 = 0. Let g be w(y). Let v(u) = 6*u + 1. What is the remainder when 51 is divided by v(g)?
12
Let d = 13 - 8. Let u = d - 54. Let a = -21 - u. What is the remainder when a is divided by 15?
13
Suppose 5*o + 2*t - 42 = 0, -12*t = -3*o - 8*t + 20. What is the remainder when 485 is divided by o?
5
Suppose 2*c = -2*x - 26, 0 = 3*c - 2*x + 46 - 2. Let k = c - -428. What is the remainder when (-12)/30 - k/(-10) is divided by 11?
8
Let j = 395 + -179. Suppose -4*c + j = 8. What is the remainder when c is divided by 14?
10
Let d(h) = h**3 - 24*h**2 + 89*h + 36. Calculate the remainder when d(20) is divided by 75.
66
Let k(w) = w**3 - 13*w**2 - 66*w + 8. What is the remainder when k(17) is divided by 11?
9
Suppose 4*y + 2*z - 50 = 0, 3 = -3*z + 4*z. What is the remainder when y is divided by 2?
1
Suppose 0 = -85*q + 111*q - 1508. What is the remainder when 228 is divided by q?
54
Let u(m) = 10*m + 179. Calculate the remainder when u(0) is divided by 63.
53
Let a(u) = 12*u + 64. Calculate the remainder when a(7) is divided by 50.
48
Suppose -2*c + 36 = 4*r, -3*r + 36 = 8*c - 6*c. What is the remainder when 83 is divided by c?
11
Let f(d) = 4*d - 7. Let q be f(6). Suppose -k = -2*p + q, k = -4*p - 0*p + 37. Let z = 33 - 27. Calculate the remainder when p is divided by z.
3
Let y(f) = -2*f - 3*f - 1 + 4*f + 10*f + f**2. Let n be y(-8). Calculate the re