 the remainder when i(8) is divided by y.
18
Suppose z + 3*c = -11, -z - 4*z + 5*c + 25 = 0. Suppose z - 17 = -4*s. Calculate the remainder when 5 is divided by s.
1
Suppose 4 = 4*s + 4*c - 0*c, 0 = 3*c + 3. What is the remainder when 6 is divided by s?
0
Let v = 4 - 8. Let t(w) = -w**2 + 1. Let s(y) = -4*y**2 + 5. Let f(z) = -s(z) + 3*t(z). What is the remainder when f(v) is divided by 8?
6
Let m(y) = y - 1. Let n(w) = -w**2 - 11*w + 15. Let x(z) = 4*m(z) + n(z). Calculate the remainder when 9 is divided by x(-8).
0
Let h be ((-42)/(-4))/((-12)/(-16)). Let a = h + -9. Calculate the remainder when 8 is divided by a.
3
Suppose -4*j + 25 = -5*l, 3*l = -5*j - 6 - 9. Suppose -z + j*z = -18. Let t(n) = n + 3. Calculate the remainder when z is divided by t(7).
8
Calculate the remainder when (-3 - (-7 + 3))*1 + 49 is divided by 18.
14
Let n = 42 - 25. Suppose -34 = -3*k + n. Calculate the remainder when 29 is divided by k.
12
Let k = 8 + -2. Suppose -48 = -8*j + k*j. Calculate the remainder when 45 is divided by j.
21
Let g = 42 + 5. Suppose 3*u - 17 = 19. What is the remainder when g is divided by u?
11
Let c(q) = -16*q - 1. What is the remainder when c(-2) is divided by 11?
9
Suppose -2*b + 3*a = -10 - 21, 0 = 3*b + a - 30. Suppose w + 22 = g - 2*w, -25 = 5*w. Calculate the remainder when b is divided by g.
4
What is the remainder when 0 + 4 + (4 - -1)*1 is divided by 3?
0
Suppose 0 = 5*b + 4 - 189. What is the remainder when b is divided by 10?
7
Let p(v) = -v**3 - 8*v**2 - 9*v - 4. Let t be p(-7). Let z(b) = 29*b**2 - b - 1. What is the remainder when z(-1) is divided by (-50)/4*(-8)/t?
9
What is the remainder when 1*(-4)/((-12)/51)*2 is divided by 7?
6
Suppose 4*v = 58 - 18. Let n = v - 7. Let p(o) = -4*o - 21. What is the remainder when p(-7) is divided by n?
1
Let b(a) = 4*a - 4. Let u be b(-3). Let c = 6 - u. Suppose w - 4*o = -8 + 25, 2*w = -4*o + c. What is the remainder when 24 is divided by w?
11
Let r = 0 - -18. Calculate the remainder when 69 is divided by r.
15
Let n(x) = x**2 - 6*x + 10. What is the remainder when n(7) is divided by 5?
2
Let i = 18 - 7. Suppose 19 = 2*s - i. Suppose 0 = 5*h - u - 216, -u - 3*u = h - 39. Calculate the remainder when h is divided by s.
13
Let q(m) = m**2 + m - 1. Let r be q(0). Let z(l) = -l + 4. What is the remainder when -1*(0 - -25)*r is divided by z(-5)?
7
Let c = 8 + -4. Let l = c + 25. Calculate the remainder when l is divided by 10.
9
Suppose 5*s - 4*d - 3 = 4*s, -3*d = -4*s - 40. Let x = 51 + s. Let j(g) = 14*g**2 - 2*g + 1. Calculate the remainder when x is divided by j(1).
12
Let c = -4 - -7. Let u be 1/c - (-11)/3. Suppose 0 = -u*p + 39 + 13. What is the remainder when p is divided by 7?
6
Let d be -6 + 4*(-1)/(-2). Let v be 0 - (d/2)/1. Suppose 5*r - 50 = u + v*u, -5*u = -2*r + 1. What is the remainder when 38 is divided by r?
12
Suppose -5*x = -9*x + 156. Suppose 3*m - 7*r = -2*r + x, -m = r - 5. Suppose h - 14 = 1. What is the remainder when h is divided by m?
7
Let t(n) = -n + 12. What is the remainder when 43 is divided by t(-4)?
11
Suppose 3*u + 4 = -o + 4*u, -3*o + u = 2. Calculate the remainder when 2 is divided by o.
0
Suppose -2*u + 46 = 3*s - 63, -5*u = 4*s - 255. Suppose 5*z + 7 = -23. Let m = z + 18. What is the remainder when u is divided by m?
11
Let y be (-2)/3 - (-10)/6. What is the remainder when (-1 - -2)*23 + 0 is divided by y*(10 - (-1 + 3))?
7
Let g(o) = o**3 - 7*o**2 - 11*o + 11. Suppose 5 = -2*p + 21. Let k be g(p). Let l = k - -40. What is the remainder when l is divided by 15?
12
Suppose 0*x + 3*x - 18 = -i, -5*x = 4*i - 65. What is the remainder when i is divided by 4?
3
Suppose 34 = -5*d + 14. Let t = 11 - d. Calculate the remainder when 44 is divided by t.
14
Suppose 2*s = -3*s + 5. What is the remainder when 23 is divided by (0 + s)*(26 + -13)?
10
Let f = 8 + -5. Suppose 5*g - f*j - 74 = 0, 4 = j + j. Suppose -5*b + 0*b = -150. What is the remainder when b is divided by g?
14
Let w(n) = -n**3 + 6*n**2 - 3*n - 3. What is the remainder when 11 is divided by w(5)?
4
Let q(x) = x**3 - 5*x**2 - 6*x + 5. Let f be q(8). Suppose -2*k + 4*u = u - f, k + 5*u = 68. Calculate the remainder when k is divided by 19.
16
Let u = 26 - 16. Calculate the remainder when 28 is divided by u.
8
Suppose -5*p + 4*p - 130 = 0. Let r = -93 - p. What is the remainder when r is divided by 13 + ((-1)/1 - -1)?
11
Suppose 208 = g + 3*g. What is the remainder when 207 is divided by g?
51
Suppose 3*x + 26 = 4*s, -3*x = s + 2*s - 9. Suppose -s*r + 32 = -r. Suppose -5*t + 39 = 14. What is the remainder when r is divided by t?
3
Suppose 2*c - 170 = -0*c. What is the remainder when c is divided by 22?
19
Let a(r) = r**2 - 5*r - 5. Let n be a(8). Suppose n = d - 3. Calculate the remainder when 43 is divided by d.
21
Let k(d) = d**2 + 2*d + 1. Suppose 4*v - 16 = 20. Calculate the remainder when k(4) is divided by v.
7
Suppose -109 - 241 = -10*d. What is the remainder when 139 is divided by d?
34
Let z(v) = -4*v - 4. What is the remainder when 57 is divided by z(-4)?
9
Suppose 0 = -y - 1 + 3. Calculate the remainder when 14 is divided by 1/(-2*y/(-32)).
6
Let n = 15 + -10. Let k(u) = -u**2 + 8*u - 5. What is the remainder when k(n) is divided by 6?
4
Let o = 4 - 1. Suppose -3 = o*m, -4*m + 20 = 2*p - 0*m. Calculate the remainder when 46 is divided by p.
10
Suppose 3*x - 7 = 4*t, -4*x = -2*t - 19 - 7. Calculate the remainder when 23 is divided by x.
5
Let u(t) = -t**3 + t**2 + t + 14. Let i = -7 - -7. What is the remainder when 53 is divided by u(i)?
11
Let c = 35 + -6. Calculate the remainder when c/9 + (-2)/9 is divided by (3 + (-26)/10)/((-4)/(-20)).
1
Let v(n) = -n. Let k be v(1). Let d(i) = 19*i**2 - i. What is the remainder when (-35)/k + -3 + 3 is divided by d(1)?
17
Let a(k) be the second derivative of k**5/20 + k**4/4 + k**2/2 + k. What is the remainder when ((-1)/2)/(1/(-2)) is divided by a(-3)?
0
Let v(o) = o + 13. Let y be v(-10). Let p(j) = -y*j - 5 + 2 + 1 + 3. What is the remainder when 19 is divided by p(-3)?
9
Let x(r) = -r + 41. Calculate the remainder when x(16) is divided by 15.
10
Let v = -42 + 50. Calculate the remainder when 15 is divided by v.
7
Let g be 1 - 8 - 0/1. Let d = -5 - g. Suppose 4 = -4*l, 2*q + l = -d*q + 15. What is the remainder when 7 is divided by q?
3
Let i(f) = -2*f + 2. Let s be i(4). Let q be (6/4)/(s/8). Let b(a) = 12*a**2 - 2*a - 2. What is the remainder when b(q) is divided by 17?
16
What is the remainder when 0/(-2) + (29 - -10) is divided by 18?
3
Let v = -11 - -8. Calculate the remainder when 2 - (-20 - 2 - 0) is divided by 10/(-3 + 4) - v.
11
Suppose 33 = z - 4*f, 5*z = -f + 135 + 114. What is the remainder when z is divided by 5?
4
Suppose -33 = -3*p - 3*n + 30, p - 6 = 4*n. What is the remainder when p is divided by 11?
7
Suppose -4*w + p = -57, -5*p + 66 = 5*w - p. Suppose -j - t = 3*t - 55, 2*j + 5*t = 110. What is the remainder when j is divided by w?
13
Let s = -5 + 9. Let l = s + -17. Let o = 1 - l. Calculate the remainder when 27 is divided by o.
13
Calculate the remainder when (-6)/(-4) + 388/8 is divided by (-2)/3 - (-212)/12.
16
Let g(y) = -y**3 - 3*y**2 + 3*y - 2. Let k be g(-4). Calculate the remainder when 29 is divided by -3 - (-14 - (1 - k)).
9
Let h = 123 + -87. What is the remainder when h is divided by 10?
6
Suppose 9*h - 4*h = 10. Suppose q = 5*r - q - 10, h*r + 2*q = -10. Suppose 5*t + 0*t - 115 = r. Calculate the remainder when t is divided by 8.
7
Let y(c) = 8*c. Let b = 12 - -5. Calculate the remainder when y(4) is divided by b.
15
Let b(z) be the third derivative of 7*z**5/60 + z**4/24 - z**3/6 - z**2. Let g(a) = -a**2 + 7*a - 2. Calculate the remainder when b(2) is divided by g(4).
9
Suppose 0 = -2*i + 3*z + 29, 13 = 2*i + 4*z + 5. What is the remainder when i is divided by 7?
3
Suppose -10 = -2*s, -4*s + 16 = f - 40. Suppose -3*j + 424 = j. Calculate the remainder when j is divided by f.
34
Let x(a) = -3*a - 9. Calculate the remainder when x(-18) is divided by 17.
11
Suppose 5*p - 44 = p. What is the remainder when 65 is divided by p?
10
Let y = -145 + 164. What is the remainder when y is divided by 11?
8
Calculate the remainder when -1 - -59 - 3 - 2 is divided by 18.
17
Let r be 53 - ((-3)/3 - 2). Suppose 5*v - r = v. Cal