9).
2
Let w(m) = -m - 6. Let c be w(0). Let n(r) = -r**2 - 7*r. Suppose 10 = 5*j - y - 4*y, 0 = -5*y. Calculate the remainder when n(c) is divided by j.
0
Let m = 220 + -197. Calculate the remainder when m is divided by 12*((-6)/(-4) - 1).
5
Let t be 41 + -1 - (12 - 9). Suppose -4*m = 2*f - t - 13, 5*f = -2*m + 21. What is the remainder when 23 is divided by m?
10
Suppose 230 = -7*z + 12*z. Let m = 146 - z. What is the remainder when m is divided by 17?
15
Let q(w) = -w**2 - 26*w + 23. What is the remainder when 422 is divided by q(-24)?
67
Suppose 14*p - 1512 = 1722. Calculate the remainder when p is divided by 56.
7
Suppose 4*r + 91 = 4*u + 11, 46 = 3*u + 4*r. What is the remainder when 1493 is divided by u?
17
Let u(p) be the second derivative of p**5/20 - 11*p**4/12 + 10*p**3/3 + 6*p**2 + 5*p + 3. What is the remainder when 88 is divided by u(9)?
28
Suppose -2*f = -3*d - 286, 3*f - 352 = -4*d + 60. What is the remainder when f is divided by 76?
64
Let i(c) = -2*c**3 + 10*c**2 + 77*c - 3. Calculate the remainder when 158 is divided by i(9).
32
Calculate the remainder when (-5778)/(-15) + 8/(-40) is divided by 65.
60
Let w(z) = -z**2 + 7*z - 15. Let j be w(5). What is the remainder when 3 + ((-280)/(-5) - j) is divided by 18?
10
Let k(x) = -12*x + 9 + 3*x + 5*x + 3*x. Calculate the remainder when 28 is divided by k(4).
3
Suppose 5*o + 22 = 8*o - 2*r, 2*o - 3*r - 23 = 0. Calculate the remainder when -12*((-15)/9 - -1) is divided by o.
0
Suppose 31 = 5*y - 104. Let b(w) = -4*w - 77. What is the remainder when y is divided by b(-23)?
12
Let k(l) = 3*l - 2. Let d be k(3). Suppose 0 = 4*i - 9 - d. Suppose 0 = 4*b + 4*n - 104, -i*b = b - 5*n - 160. What is the remainder when b is divided by 8?
5
Let l(r) = -16*r + 28. Calculate the remainder when l(0) is divided by 15.
13
Suppose -j = 14 - 24. Calculate the remainder when (178/8)/((-1)/(-4)) is divided by j.
9
Suppose f + 98 - 133 = 0. What is the remainder when f is divided by 13?
9
Let m = 7 - 9. Let c(t) = 2*t**2 + 2*t - 1. Let j = 7 - 5. What is the remainder when c(m) is divided by j?
1
Suppose -81*s - 4711 = -88*s. What is the remainder when s is divided by 85?
78
Calculate the remainder when 449 is divided by (-1*1)/((-12)/1440*8).
14
Suppose 3*i + 13*o - 34 = 9*o, 2*o = 3*i - 10. Calculate the remainder when 16 is divided by i.
4
Let c(s) = 7*s**2 + s - 1. Let q(h) = 2*h**3 - 25*h**2 - 12*h - 12. Let l be q(13). Calculate the remainder when 32 is divided by c(l).
4
Let k be 6/(-8) - 69/(-12). Suppose 3*v - k*v = -6. Calculate the remainder when 10 is divided by v.
1
Let m be 2*2/(-1)*399/(-42). Let d(x) = x**3 - 39*x**2 + 37*x + 99. Let z = -30 + 46. Calculate the remainder when d(m) is divided by z.
13
Suppose -2*k = -3*z - 1273, -431 - 205 = -k + z. What is the remainder when k is divided by 53?
52
Let x(k) = k**3 + 17*k**2 - k - 10. Let t be x(-17). Suppose -z + 1 = -t. What is the remainder when z is divided by 5?
3
Suppose -3*k + t + 648 = k, 0 = 2*t + 8. What is the remainder when k is divided by 18?
17
Suppose -94 = -4*h - 30. Suppose 4*g = h + 8. What is the remainder when g is divided by -1 - -4 - 0/2?
0
What is the remainder when 100/450 + (-1436)/(-18) is divided by 40?
0
Suppose -2*t + 5*w + 182 = 0, 2*t - 389 = -3*t - 4*w. What is the remainder when t is divided by -11*(-2 - -1) - -1?
9
Calculate the remainder when 23 is divided by ((-20)/(-12))/((-10)/(-90)).
8
Suppose 3*j - 20 = -2*j. Suppose -j*b + 3*b = -14. Suppose l + 19 = 27. What is the remainder when b is divided by l?
6
Let o(j) = -4*j - 1. Suppose -7*n - 3*n - 70 = 0. Let q = -9 + 19. Calculate the remainder when o(n) is divided by q.
7
Suppose 723 = 15*z - 672. Calculate the remainder when 181 is divided by z.
88
Let b(k) = -k - 1. Let l(r) = -r**2 + 6*r - 6. Let j(u) = u**2 + 2. Let t(p) = 2*j(p) + l(p). What is the remainder when t(-7) is divided by b(-3)?
1
Let q = 5 + -9. Let f(r) = -r**3 - r**2 + 8*r + 3. Suppose 5*v - 5*h = 345, -v + 3*h + 71 = 4*h. What is the remainder when v is divided by f(q)?
13
Let g = -235 - -473. What is the remainder when g is divided by 48?
46
Suppose -12 = -d - 4*z + 3, -2*d - z = -58. Suppose 5*w + 5*i - 55 = 0, 5*i - d = w - 4*w. Calculate the remainder when 23 is divided by w.
11
Suppose 4*g - 24 = -4*c, g = -5*c + 3*g + 44. Suppose -9*b + 156 + 375 = 0. What is the remainder when b is divided by (c/(-6))/(2/(-18))?
11
Let d(u) = u**3 + 10*u**2 + 8*u - 10. Let f be d(-9). Let k(l) = l**3 + 2*l**2 + 1. Let t be k(-2). What is the remainder when -2*(t + f - 1) is divided by 2?
0
Let p be 8/2*(-5)/10. Calculate the remainder when 41 is divided by (-1)/(-2) - 29/p.
11
Suppose 278 = 7*b - 387. Let y(o) = 2*o**3 - o**2 + 3*o + 2. What is the remainder when b is divided by y(2)?
15
Let x(a) = -3*a**3 + 2*a**2 + a - 2. What is the remainder when 83 is divided by x(-2)?
27
Let t = 120 + -99. Suppose -i - 1 + 9 = 0. Calculate the remainder when t is divided by i.
5
Let c(h) be the first derivative of -7/2*h**2 + 1/3*h**3 + 8*h - 8. Calculate the remainder when 28 is divided by c(8).
12
Let p(x) = x**3 - x - 2. Let o(i) be the second derivative of 2*i**3/3 - 3*i**2 - 9*i. Let f be o(2). Calculate the remainder when 14 is divided by p(f).
2
Suppose -5*i = -i - 68. Suppose -2*o + 117 + 47 = 0. Calculate the remainder when o is divided by i.
14
Suppose 2*w = 3*w - 3. Suppose 0 = -w*s + 8 + 10. What is the remainder when s/15 - 1144/(-40) is divided by 5?
4
Suppose -3*l - a + 10 = 0, 5*l - 17*a - 15 = -19*a. What is the remainder when 772 is divided by l?
2
Suppose 0 = -4*w + 6*w - 76. Suppose -4*k + 66 = -w. Let y = k + -10. What is the remainder when 29 is divided by y?
13
Calculate the remainder when (-7)/((-14)/80) + 6 is divided by 12.
10
Let p = 93 - 43. Let s be -2 - -7 - (3 - 1). Suppose -4*o + 94 = s*y, 4*y + 0*y - 100 = o. Calculate the remainder when p is divided by y.
24
What is the remainder when (14 - 4)/((-10)/(-45)) is divided by 26?
19
Suppose -14*m + 17*m = 582. Calculate the remainder when m is divided by 28.
26
Suppose 0 = 15*x - 26 - 199. Let s(k) = -k**3 + 15*k**2 + 2*k - 19. Calculate the remainder when s(x) is divided by 8.
3
Suppose 71 = t + 2*l, -t - 5*l - 30 + 113 = 0. Let y = t - 40. What is the remainder when 91 is divided by y?
22
Let w = 221 + -340. Let p = -61 - w. Calculate the remainder when p is divided by 10.
8
Suppose 9 = x - 0. Suppose -c = -2*c + x. What is the remainder when 25 is divided by c?
7
Let j(i) = -i**3 + i + 88. Suppose -108*c + 300 = -98*c. What is the remainder when j(0) is divided by c?
28
Suppose 840 = 11*q - 7. Calculate the remainder when q is divided by 19.
1
Suppose 39 = 3*d - 2*w, -3*w = 2*d + w - 26. Let r(l) = l**2 + 3*l + 5. Let u be r(-4). Let q = u - 5. Calculate the remainder when d is divided by q.
1
Suppose -293 = -11*n + 81. What is the remainder when 336 is divided by n?
30
Let d = -10 + 17. Suppose h - 4*n = -3*h + 20, 0 = h + 3*n + d. Suppose 4*p - 49 = -5*l, l = -4*p - h*l + 47. What is the remainder when 43 is divided by p?
10
Let i(w) = 4*w + 9. Let d be i(-6). Let z(s) = -s**3 + 6*s**2 + s + 5. Calculate the remainder when (-3)/(-1)*(-160)/d is divided by z(6).
10
Let s(l) be the first derivative of -3*l**4/2 - 5*l**3/3 - 2*l**2 - 7*l - 6. Calculate the remainder when s(-3) is divided by 25.
22
Suppose 4*d = -5*z + 421, d + 4*z = -3*d + 424. Suppose -d = -3*r + 14. What is the remainder when r is divided by -1*4/((-20)/(-28) - 1)?
13
Suppose 10*l = -5*l + 465. Calculate the remainder when 72 is divided by l.
10
Suppose 5*i - 2*x = -3*x + 58, -2*i = 3*x - 31. Suppose n + 171 = w - 2*n, 4*n - 474 = -3*w. What is the remainder when w is divided by i?
8
Let k(q) = 48*q + 824. What is the remainder when k(-17) is divided by 4?
0
Let p(m) = m**3 - 5*m**2 + 9*m - 5. Let i be p(6). Calculate the remainder when 3 - (i*-1 - 3) is divided by 23.
22
Let t(d) = d**2 + 2. What is the remainder when t(-6) is divided by -1 + (-11)/(27/27*(2 - 3))?
8
Let z = 167 + -164. What is the remainder when 43 is divided by z?
1
Suppose -212 + 106 = -2*y. What is the remainder when 189 is divided by y?
30
Let q(r) = -15*r + 1. Let z(i) = i. Let x(y) = q(y) - 4*z(y). Calculate the remainder when 98 is divided by x(-1).
18
Suppose -9*r = -1660