.
2
Let h = 8 + 6. Let a be 48/26 - (-2)/13. Suppose -x = -5*z - 61, 5*x + a*z - 221 = 6*z. What is the remainder when x is divided by h?
13
Suppose -m = -0*m + b - 7, 4*m = -2*b + 18. What is the remainder when 5 is divided by m?
1
Suppose -4*f = g + 4*g - 9, -3*f + 12 = 2*g. Calculate the remainder when 1 + 1 - (-27 - (-3 - 4)) is divided by f.
4
Let n(u) = 2*u**3 - 3*u + 1. What is the remainder when 52 is divided by n(2)?
8
Suppose 3*s + 4 = -0*c - 2*c, 0 = -4*c + 4*s + 32. Suppose 3*o - 21 - 9 = -c*i, 5*i - 4*o = 22. What is the remainder when 3/(i/20) + -1 is divided by 5?
4
What is the remainder when (225/(-20))/(-9)*4 is divided by 4?
1
Let z be (-4)/14 - (-46)/14. Suppose 40 = 3*s + s - z*o, -s = 5*o - 33. Suppose 8*d - 5*d = 21. What is the remainder when s is divided by d?
6
Suppose 5*p + 2*q = 174, 0 = -0*p - 5*p + 2*q + 186. Calculate the remainder when 62 is divided by p.
26
Suppose 4*k - 2*k = 0. Suppose 4*x = 3*l + 27 + 2, k = x - l - 8. What is the remainder when 14 is divided by x?
4
Let c(b) = -b**2 - 21*b - 2. What is the remainder when c(-18) is divided by 27?
25
Let r = 182 - 96. Suppose 0 = -5*z + 92 + 18. What is the remainder when r is divided by z?
20
Let x(a) be the second derivative of -a**3/3 + a**2/2 + 2*a. Suppose -s - 4*s = -215. Calculate the remainder when s is divided by x(-7).
13
Suppose 3*g + 5 = 4*g - 3*z, 0 = -5*g - 5*z + 5. Suppose k - g*k = 2*b - 5, 3*k - 31 = -2*b. What is the remainder when 24 is divided by k?
11
Suppose -3*a = -6*a - 5*x + 43, 4*x = -4. Suppose 26 = 3*l + 5*n, -2*l - 18 = -3*l + 3*n. Let w = -3 + l. Calculate the remainder when a is divided by w.
7
Suppose 2*p = 3*u + 14, 3*p + 0*u - 2*u = 16. Calculate the remainder when 71 is divided by ((-72)/p)/((-3)/4).
23
Let z = -7 - -18. Suppose -3*v = -j - 4*v + 29, 0 = 5*j - v - 151. Calculate the remainder when 10/j + (-184)/(-6) is divided by z.
9
Suppose 3*y - 35 - 19 = 0. Let a(t) = 2*t + 4. Let n be a(-7). Calculate the remainder when n/(-4)*(-1 - -15) is divided by y.
17
Suppose 286 = 5*r - 79. Calculate the remainder when r is divided by 19.
16
Let y be (11/(-2))/(7/(-42)). Suppose 5*z - 77 = y. What is the remainder when 42 is divided by z?
20
Let x be 7/1 - (-1 - -2). Suppose 0 = p - 2 - x. Suppose -3*v + 9 = -6. Calculate the remainder when p is divided by v.
3
Suppose 152 = 5*a - a. Let b = a - 19. Calculate the remainder when -72*((-10)/(-4) + -3) is divided by b.
17
Let c(t) = t**2 + 6*t - 3. Calculate the remainder when c(-9) is divided by 13.
11
Let h(y) = -y**3 - 7*y**2 + y + 6. Let t be h(-7). Calculate the remainder when ((-2)/(-4))/(t/(-32)) is divided by 9.
7
Let a be (-1 + 2)*5*-1. Suppose -5*p + 3 + 7 = 0. Calculate the remainder when a/(-1) + 6/(-3) is divided by p.
1
Let m(u) = 5*u**3 - 3*u**2 + 3*u - 2. Suppose -4*b - 3 = -5*b. Suppose -4*z + 46 = -x, 3*x + 39 = b*z - 0*z. What is the remainder when m(2) is divided by z?
10
Let g be 129/(-9) - (-2)/(-3). Let f = 1 - g. Calculate the remainder when 61 is divided by f.
13
Suppose -3*u - 5*j = -0*j - 20, 5*u - 3*j = 90. Suppose 0 = 3*g - 8 - 76. Calculate the remainder when g is divided by u.
13
Suppose -5*c - 171 = -451. What is the remainder when 108 is divided by c?
52
Suppose 4*u - 1 + 45 = 0. Let w = u + 41. Calculate the remainder when w is divided by 16.
14
Let t = 129 + -68. What is the remainder when t is divided by 16?
13
Let c = -19 - -18. What is the remainder when 42 is divided by (176/24)/(c/(-3))?
20
Let f(s) = -15*s**3 + 2*s**2 + s. What is the remainder when 47 is divided by f(-1)?
15
Let i(w) = 2*w**2 + 5*w. Let l be i(-4). Suppose 0 = r + 3*r - l. Let h = 15 + -7. What is the remainder when h is divided by r?
2
Suppose 7*d + 30 = 9*d. What is the remainder when d is divided by 5/((-10)/(-8)) - 0?
3
Let a(v) = -v**2 + 12. Let n be a(0). Let b = -4 + n. Calculate the remainder when b is divided by 3.
2
Suppose -5*r + 58 = -57. What is the remainder when 85 is divided by r?
16
Suppose -5*a + 3*y + 156 = 2*y, 12 = 3*y. Suppose -14 = -u + 7. Let n = a - u. What is the remainder when 20 is divided by n?
9
What is the remainder when 2 - -38 - (-2)/1 is divided by 0 + 12 + -1 + 0/(-2)?
9
Let w(i) = -i**3 - 11*i**2 - 2*i - 16. What is the remainder when 6/(-3) - -4 - -21 is divided by w(-11)?
5
Suppose -4*w + 12 = 4*u, -3*w - 39 = -4*u + 2*w. Calculate the remainder when 20 is divided by (3/u)/(1/22).
9
Suppose 0 = -5*q + 35 + 10. What is the remainder when 24 is divided by q?
6
Suppose -3*y = -4*y + 5. Calculate the remainder when (-3)/y + 163/5 is divided by 0/2 + 11 + 0.
10
Let v(l) = l**3 + 13*l**2 - 30*l + 10. What is the remainder when 309 is divided by v(-15)?
9
Suppose 0 = -y - 0*y + 11. What is the remainder when y is divided by (-36)/(-10) + 2/5?
3
Suppose 0*k - 245 = -5*k. Suppose -4*a + k = -55. What is the remainder when a is divided by 14?
12
Suppose -2 = -2*j - 6. What is the remainder when (j/(-4))/((-1)/(-6)) is divided by 1?
0
Let k = 15 - 7. Suppose k = 2*o - 0*o. What is the remainder when o is divided by (-2 - -1)/(4/(-12))?
1
Suppose 6*h + 5 - 251 = 0. Suppose 4*u = -2*x - 2, 2*x - 3 = 4*x + 5*u. Calculate the remainder when h is divided by (x/(-3))/(2/(-66)).
8
Let m(d) = d**2 + 6*d - 13. Calculate the remainder when 27 is divided by m(-9).
13
Let y be 1 + (-3)/(-1 + -2). Let r(m) = -4 + 2*m + y*m - m. What is the remainder when r(7) is divided by 6?
5
Calculate the remainder when 38 is divided by (-24)/9*(-90)/12.
18
Suppose -f + 1 = -3. Calculate the remainder when (-10)/f*(-12)/10 is divided by 4 + (2 + -4 - 0).
1
Suppose -2*h + 4*q = -96, -2*q + q - 134 = -3*h. What is the remainder when h is divided by 24?
20
Suppose -2*p + 4 = -2*j, -4*j + 0*p - 4 = -3*p. Suppose j*y - 5*u = 1, -5*y - 6*u + 43 = -5*u. What is the remainder when 19 is divided by y?
3
Let s(o) = -o - 3. Let j be s(-5). Suppose 6*b - 3*b - 129 = 0. Calculate the remainder when b is divided by 5*(6 - 6/j).
13
Let k(c) = c + 12. Let v be k(-7). Calculate the remainder when 9*(35/3)/v is divided by 11.
10
Suppose 5*a + 5*x = 350, 3*a - 4*a + 70 = 5*x. Calculate the remainder when a is divided by 12.
10
Let b(l) = l**2 - 7*l + 4. Let u be b(7). Suppose y - 15 = -u*y. Suppose -6 + 21 = y*r. What is the remainder when r is divided by 4?
1
Suppose 2*t = 2*f + 10, 0*f - 2*f - 9 = -t. Suppose u - 3*p - 11 = p, 0 = -u + 2*p + 13. Calculate the remainder when (-3)/(-12) - 111/f is divided by u.
13
Let o = 70 + -53. Calculate the remainder when o is divided by 5.
2
Suppose -3*j + 941 = 215. What is the remainder when j is divided by 49?
46
Let p(l) = l**3 + 13*l**2 + 9*l - 23. What is the remainder when 1/(-4) - 447/(-12) is divided by p(-12)?
11
Suppose -3*y - 2*j + 0*j = -39, 2*y - 2*j - 36 = 0. What is the remainder when 55 is divided by y?
10
Suppose -60 = 3*u - 105. Calculate the remainder when 40 is divided by u.
10
Let x be ((-18)/(-8))/((-3)/(-8)). What is the remainder when (-3 - 0)*(-98)/x is divided by 25?
24
Let p = 34 + 8. Suppose 0*t + 2*t - p = 0. What is the remainder when t is divided by 11?
10
Let u(r) = -r**2 + 8*r + 2. Let y be u(8). What is the remainder when 85 is divided by -3 + 3 + 58/y?
27
Let d(a) = a**2 + 2*a - 6. What is the remainder when 32 is divided by d(3)?
5
Suppose d - 7 + 3 = 0. Suppose 3 = d*j - j. Let l(r) = 15*r**3 + r**2 - r + 1. Calculate the remainder when 47 is divided by l(j).
15
Let z = 159 + -108. What is the remainder when 254 is divided by z?
50
Let g(o) = o**2 - o + 99. Suppose 0 = -21*z + 231 + 294. Calculate the remainder when g(0) is divided by z.
24
Suppose x = n - 20, -x = 7*n - 2*n - 70. Suppose 0*r = -r + 5*d + 54, 3*d + 73 = 2*r. What is the remainder when r is divided by n?
14
Let t(q) = q**2 - 10*q + 37. Calculate the remainder when 294 is divided by t(10).
35
Suppose 4*j - 3 + 35 = 0. Let v(q) = -q**3 - 8*q**2 - 10*q - 2. What is the remainder when v(j) is divided by 20?
18
Let i(y) = -2*y + 6. Let c = 14 - 5. Let g be i(c). Calculate the remainder when 16 is divided by (-3)/(2*3/g).
4
Calculate the remainder when 70 is divided by 76/6*33/22.
13
What is the remainder when (21 + 0)/(63/42) is divided by 4?
2
Suppose 2*l - l - 1 = 0. Suppose m - 19 = -l. Let g = m - 8. Calculate the remainder when 28 is divided by g.