 is divided by z(47).
66
Suppose -62 = -5*h + 3*r, 0*h + 18 = 3*h + 3*r. Let s = h - 22. Calculate the remainder when 740/16 - 9/s is divided by 16.
15
Let y(c) = -c - 2. Let v be y(-7). Suppose 5*a - a = -v*z + 113, 2*a = 4*z - 106. What is the remainder when z is divided by 9 + (1/(-3) - (-3)/9)?
7
Let j = 307 - 247. What is the remainder when 168 is divided by j?
48
Let z(r) = r**2 + 9*r + 22. Calculate the remainder when 131 is divided by z(-5).
1
Suppose -5*k = 2*c - 148 + 18, 2*c = 4*k - 122. Calculate the remainder when k is divided by 22.
6
Let t(y) = y**2 + 8*y - 21. Let f be t(7). Let c = f - 51. Calculate the remainder when 64 is divided by c.
31
Let a(m) = -11*m**3 - m**2 - m - 1. Suppose 0 = -5*z - 28 + 3. Let r(u) = -2*u - 6. What is the remainder when a(-1) is divided by r(z)?
2
Suppose 2*y = -y - 12. Let d(b) = b**2 + b - 1. Let f be d(y). Suppose 3*w + f - 89 = 0. What is the remainder when 75 is divided by w?
23
Calculate the remainder when (96/(-168))/(2/(-1729)) is divided by 55.
54
Let n(q) = q**3 - 19*q**2 - 21*q + 35. Let j be 8/(-3) + 3 + (-118)/(-6). Calculate the remainder when 72 is divided by n(j).
12
Let w be 3/(12/(-119))*4. Let y = -83 - w. Suppose -96 = -5*h - 3*v, -2*h - 2*v = -0*v - y. Calculate the remainder when h is divided by 6.
3
Let i(s) = 7*s. Suppose -7*x - 10 + 45 = 0. Suppose -4*b - 6*j + 56 = -2*j, 0 = x*j - 10. Calculate the remainder when i(3) is divided by b.
9
Let c = 27 - 1. Suppose m - 4*x = 15, -6*x + 1 = m - 3*x. Calculate the remainder when c is divided by m.
5
Calculate the remainder when 109 is divided by (57 + -33)/(6*(-1)/(-4)).
13
Let m be (-16)/120 + (-32)/(-15). Let g(r) = -7 - 6*r - 3 + m - 7. What is the remainder when g(-6) is divided by 8?
5
Let o(h) = h**3 - 10*h**2 - 5*h + 41. Let c be o(10). Let z = 23 + 14. Calculate the remainder when z is divided by 171/(-6)*(33/c - -3).
18
Suppose -776 = -5*a + 99. Let b = -51 + a. Suppose p + b = 5*p. Calculate the remainder when p is divided by 16.
15
Let b = -33 + 49. Calculate the remainder when b is divided by (-10)/(-1 - 2/2).
1
Let v(b) = -b**3 - 9*b**2 + 12*b - 2. Let h be v(-10). Let c(j) = -j + 23. Calculate the remainder when c(h) is divided by 24.
21
What is the remainder when 6 is divided by 5 + -4 + 3/3?
0
Let x(p) = p - 1. Suppose 42*c - 125 = 17*c. What is the remainder when c is divided by x(4)?
2
Let j(u) = 14*u**2 - 28*u + 72. What is the remainder when j(6) is divided by 5?
3
Suppose 7 = 3*f - 77. Let j = -28 + 34. Suppose -318 = -j*z - 0*z. Calculate the remainder when z is divided by f.
25
Suppose -3*z + 6*z = j - 32, -100 = -5*j + 3*z. Calculate the remainder when 338 is divided by j.
15
Suppose 36 = 4*x - 4*n, 0*n - 8 = 3*x + 4*n. Suppose 4*s - 15 = -9*j + 4*j, 0 = x*s + 3*j - 25. Calculate the remainder when 37 is divided by s.
7
Let c = 130 - 112. Let k(x) = -16*x + 1. What is the remainder when k(-4) is divided by c?
11
What is the remainder when 48 is divided by 8/(-4) + 11/((-11)/(-6))?
0
Let b = 86 - -74. Let k be (1 + -2)*(-452)/(-4). Let m = b + k. Calculate the remainder when m is divided by 16.
15
Let y(w) = 6*w - 14. Calculate the remainder when 63 is divided by y(8).
29
Suppose 5*p = -14 + 24. Suppose -4*s - 6*v = -v - 6, p*s - 5*v = 18. Suppose -5*u = -0*u - 55. What is the remainder when u is divided by s?
3
Suppose 7*f = 4*f - 3. What is the remainder when 22 is divided by (f + (-3)/2)*(6 - 8)?
2
Suppose -26*i = -4*i - 1320. Calculate the remainder when 236 is divided by i.
56
Let q(n) = n**2 - 8*n - 5. Let m be q(9). Suppose 0 = 5*r - m*y - 359, -4*y - 209 = -4*r + r. Calculate the remainder when r is divided by 13.
10
Let u = 1410 - 1389. Suppose -4*r + 28 + 20 = 0. What is the remainder when u is divided by r?
9
Let y(r) = 13*r. Let p be y(-2). Let h = 87 + p. Calculate the remainder when h is divided by 9.
7
Suppose -2*k = 3*g - 3, -6*g = -3*k - 5*g + 21. Let q = 6 - -22. What is the remainder when q is divided by k?
4
Suppose -22*c + 0*c + 11550 = 0. What is the remainder when c is divided by 88?
85
Suppose -7*n + 217 = -0. What is the remainder when 145 is divided by n?
21
Let l = -10 + 12. Suppose -l*f - f = -15. Let q = 20 - f. Calculate the remainder when q is divided by 4.
3
Let h = -94 + 153. Suppose 0 = -4*q - q + 230. Let n = -26 + q. What is the remainder when h is divided by n?
19
Let g(b) = 4*b**3 + 5*b**2 - 4*b + 2. Let p(h) = 3*h**3 + 5*h**2 - 4*h + 2. Let v(s) = -4*g(s) + 5*p(s). What is the remainder when v(-4) is divided by 33?
30
Suppose -27*u - 8*u = -945. Calculate the remainder when 78 is divided by u.
24
Let w be (-5*2/(-20))/((-3)/(-18)). Suppose 0 = w*h - 5*m - 46, -4 = -4*h - 2*m + 66. Calculate the remainder when 23 is divided by h.
6
Let v(i) = -12*i + 1. Calculate the remainder when v(-5) is divided by (-90)/(-855) + (-794)/(-38).
19
Suppose h - m = -2*h - 55, -5*h - 85 = -3*m. Let l be 12/h - (-33)/5. Suppose -392 = -l*a - 104. What is the remainder when a is divided by 17?
14
Let n(x) = 55*x**2 - 1. Let p be n(1). Let k = -16 + p. Calculate the remainder when k is divided by 13.
12
Let b(w) = -w**2 - 23*w - 28. What is the remainder when b(-5) is divided by 10?
2
What is the remainder when (-689)/(-26) + 4/(-8) is divided by 22?
4
Suppose -2*i + o = 4*o - 8, 3*i + 3*o = 18. Suppose -l - 5*l = 108. Let r = l + 22. What is the remainder when i is divided by r?
2
Let x(n) = -28*n - 14. Calculate the remainder when 329 is divided by x(-2).
35
Suppose -z + 3*t = 0, 5*t = t + 16. Calculate the remainder when 237 is divided by z.
9
Let f = 7 + -11. Let c = -19 - f. Let n = c - -40. What is the remainder when n is divided by 9?
7
Let l be (9/2 - (-8)/(-16)) + 0. Suppose 4*c - 88 = -d, -100 = -l*c - 2*d + 4*d. Calculate the remainder when 39 is divided by c.
16
Suppose 422 = 5*d + 337. Calculate the remainder when 217 is divided by d.
13
Let l(i) = -i**2 + 20*i - 12. Let m(p) = 4*p**2 + p + 3. Let a be m(-2). What is the remainder when l(a) is divided by 10?
9
Let u be (-4)/12 - 38/(-6). Let j be 9/u*(64 + -2). Suppose -z - 2*z + j = 0. What is the remainder when z is divided by 8?
7
Let b(r) = -r**3 + 12*r**2 - 39*r + 48. Calculate the remainder when 66 is divided by b(7).
6
Let a = -86 - -125. Suppose -a - 38 = -7*w. What is the remainder when 1104/36 + (-1)/(-3) is divided by w?
9
Let a be (-2 + 1 - 0) + -8. Let n = -452 - -461. What is the remainder when (-3)/(a/6) + 23 is divided by n?
7
Let z(m) = -2*m + 59. Suppose n + 0*n = 116. Calculate the remainder when n is divided by z(10).
38
Suppose 5*h - 64 = h - 2*g, -2*g = 2*h - 32. Let w = h + -9. Calculate the remainder when 19 is divided by w.
5
Let w = 21 - 30. Let q(h) = h**3 + 9*h**2 - h - 4. Calculate the remainder when 27 is divided by q(w).
2
Let f(l) = -2*l**3 - 14*l**2 + 9. Calculate the remainder when -8*12/32*-10 is divided by f(-7).
3
Let r(o) = 10*o + 205. Calculate the remainder when r(0) is divided by 11.
7
Suppose -u = -4*v - 43 + 42, -3*v = 5*u - 74. What is the remainder when 279 is divided by u?
6
Suppose -2*g = -0*g. Suppose -40*i + 45*i - 175 = g. Calculate the remainder when i is divided by 9.
8
Let m(b) = -b**2 + 11*b + 3. Let i be m(13). Let t = -33 - i. Let z(n) = n**3 + 10*n**2 + 7. Calculate the remainder when 20 is divided by z(t).
6
Suppose -r = 4*r - 230. Suppose -2*u + h + 2*h + r = 0, -8 = 2*h. Calculate the remainder when 28 is divided by u.
11
Let o(v) = v**2 - 5*v. Let l be o(5). Suppose -5*z = -4*h + 357, 2*h - 180 = -l*h + 4*z. What is the remainder when h is divided by 24?
16
Suppose 0 = -7*i + 134 - 1. Calculate the remainder when 48 is divided by i.
10
Suppose -5*s - 40 = -4*p - 114, 4*p + 4 = 0. Suppose -23*b + 4*b + 1539 = 0. Calculate the remainder when b is divided by s.
11
What is the remainder when (73 + -5)*(2 - (-1 + 2)) is divided by 8?
4
Let n(i) = -2*i**2 - 53*i - 20. Suppose -m + 4 = 5*a, -1 = 2*a + 3. What is the remainder when n(-25) is divided by m?
13
Let k(a) = a**3 + 14*a**2 + 11*a + 17. What is the remainder when k(-7) is divided by 15?
13
Suppose -4 = -3*x + 26. Let u(y) be the third derivative of 29*y**4/24 - y**3/6 - y**2. What is the remainder when u(1) is divided by x?
8
Suppose 5*o + 5*h - 29 = 21, 5*h + 62 = 3*o. Let s(j) = -2*j**2 - j + 24 - 21 - 6*j**