emainder when c is divided by 8?
5
Let l(p) = p**3 - 11*p**2 - 10*p + 16. Calculate the remainder when l(12) is divided by 14.
12
Let x(a) = -a**3 - 2*a - 3 + 7*a**2 + 7*a - 3*a. Calculate the remainder when 30 is divided by x(7).
8
Suppose 3*z + 3*a = 81, -3*a + 2 + 125 = 5*z. Let d = -227 + 233. What is the remainder when z is divided by d?
5
Let k = -58 + 130. Calculate the remainder when k is divided by 15.
12
Suppose 0 = 4*d + 2*q - 40, -3*d - 12 + 45 = 3*q. Calculate the remainder when 15 is divided by d.
6
Suppose -14*f + 13*f + 58 = 0. What is the remainder when f is divided by 15?
13
Let o be 94 + 6/(-2 + 4). Suppose -3*a + 2*f + 3*f = -60, f + o = 4*a. Calculate the remainder when 48 is divided by a.
23
Suppose 0 = -m - 2*o + 84, 4*o + 136 = 2*m - 0*m. Calculate the remainder when m is divided by 11.
10
Suppose -3*l + 5*q = -12, 2*l + l - 42 = -5*q. Calculate the remainder when 24 is divided by l.
6
Suppose -2*x = g - 0*x - 29, g - 21 = 2*x. Calculate the remainder when g is divided by 9.
7
Suppose 2*c - 2*w = 0, -5*c - 2*w + 21 = -14. What is the remainder when 7 is divided by c?
2
Let o(t) = -t**3 + 9*t**2 - 13*t - 10. Let g(d) = 2*d**2 + 4*d + 3. Let h be g(-2). Suppose -h*a = -a - 78. Calculate the remainder when a is divided by o(6).
19
Let d = 8 + -1. Suppose -3*o = 5*o - 144. Calculate the remainder when o is divided by d.
4
Let x = -7 + 6. Let d(c) = -13*c. Calculate the remainder when 16/(-6)*(-9 - 0) is divided by d(x).
11
Let g(b) = 18*b**2 + b. Calculate the remainder when -1 - (-33)/(-3)*-5 is divided by g(1).
16
Let y = 2 - -2. Let z be (14 - 1)*(-1 - -2). Suppose y*v - 5*r = 34, -4*v + z + 29 = -r. What is the remainder when v is divided by 6?
5
Suppose -3*a - 4*r + 70 = -a, -a = -5*r. What is the remainder when a is divided by 9?
7
Let x(q) = -66*q**3 + 3*q**2 - 2. Calculate the remainder when x(-1) is divided by 34.
33
Let o = 9 + -9. Suppose 3*t + 8 - 26 = o. What is the remainder when 17 is divided by t?
5
Suppose 0 = 4*t + 49 - 37. Let x(n) = -1 - n + 2*n - 2*n. Calculate the remainder when x(t) is divided by 2.
0
Let q(d) = -d**3 - 3*d**2 + d - 2. Suppose -2*m + 10 = 0, -4*m + 16 = j - 13. Let x(c) = 3*c + 1. Calculate the remainder when x(j) is divided by q(-4).
8
Let w(d) = 4*d + 4. Let m be w(-3). Let v(x) be the second derivative of -4*x**3/3 - 5*x**2/2 + 4*x. Calculate the remainder when v(m) is divided by 20.
19
Let d be 17/7 - 3/7. Suppose 0 = d*q + 4*l - 210, -4*q + 0*q + 365 = -3*l. What is the remainder when q is divided by 32?
31
Let u = 1 + 29. Calculate the remainder when u is divided by 16.
14
Let s(o) = 2*o + 11. What is the remainder when 74 is divided by s(4)?
17
Suppose 0 = -2*s + 3*h + 71, -3*s + 114 = -0*h + 3*h. What is the remainder when 143 is divided by s?
32
Let g = 2 + 2. Suppose -22 = -0*s + 2*s. Let l = s - -13. What is the remainder when g is divided by l?
0
Let z = -4 - -5. Let i be -9 + -1 - (-2)/1. Let y = -7 - i. Calculate the remainder when y is divided by z.
0
Suppose j - 129 = -4*z - 0*j, 5*j + 91 = 3*z. Suppose -y + 22 = -z. What is the remainder when y is divided by 14?
12
Let j(w) = -w - 6. Let u(s) = 3*s + 11. Let v = -4 - -2. Let l(i) = v*u(i) - 5*j(i). What is the remainder when l(6) is divided by 2?
0
What is the remainder when 179 is divided by 5 - (-4 - (-3)/(-3))?
9
Let z(r) = 10*r + 1. Let k(o) = o**2 - 8*o + 4. Let b be k(8). Suppose h - 9 = -b*g + 2*h, 3*g = h + 6. What is the remainder when z(g) is divided by 16?
15
Let u be (72/(-15))/(-2)*-5. Calculate the remainder when 9 is divided by 4/(-2 - 32/u).
3
Suppose 3*k - 4*x + x = 78, k - 38 = -3*x. What is the remainder when 112 is divided by k?
25
Let g be -1 - (-1*4)/2. Suppose 0 = -3*h - o - g, 0 = -5*h + 5*o - 7*o - 3. Suppose -t - h = -6. Calculate the remainder when t is divided by 3.
2
Suppose 0 = -2*t + 29 - 3. What is the remainder when 38 is divided by t?
12
Let u(z) = -z**3 + 8*z**2 + z. Let f be u(8). Let s = 8 + f. What is the remainder when 31 is divided by s?
15
Let r be 38/2 + (-10)/(-5). Let m = 79 - r. Suppose 2*w = 4*v + 52, -4*v - 75 = -3*w + v. What is the remainder when m is divided by w?
18
Let y(r) = -5*r - 26. Calculate the remainder when 41 is divided by y(-7).
5
Suppose 0 = 10*s - 19*s + 459. What is the remainder when s is divided by 18?
15
Let w = 159 - 114. Calculate the remainder when w is divided by 12.
9
Suppose 3*v = 3, 2*x - v - v = 202. Suppose -3*f + x = -0*f. What is the remainder when f is divided by 9?
7
Let g = 15 - 4. What is the remainder when 30 is divided by g?
8
Let l(y) = -y**3 - 4*y**2. Let h = 16 + -13. Suppose -3*g = 4*v - h*v - 62, 2*g = v - 82. Calculate the remainder when v is divided by l(-5).
24
Let f(v) = v - 2. Let y be 2*3/(-4)*2. Calculate the remainder when f(4) is divided by y - -5 - 0/1.
0
Calculate the remainder when 48 is divided by 3 + (-3)/(2 - 62/28).
14
Let c(k) = -k**2 - k + 232. Let s be c(0). Suppose -2*u - 2*u = -s. Suppose 3*w = v - 8, 5*v = 5*w + 45 + 35. Calculate the remainder when u is divided by v.
18
Let l(i) be the third derivative of i**5/60 - i**4/12 - i**3/2 - i**2. Calculate the remainder when l(4) is divided by 2.
1
Let c = 8 + 2. Suppose 2*u = -5*d - 2*u - 9, -u = 1. Calculate the remainder when (25 - 3) + 3*d is divided by c.
9
Let j = 3 - -16. What is the remainder when 36 is divided by j?
17
Suppose 0*r + 80 = 5*r. Calculate the remainder when r is divided by 6.
4
Suppose 4*d = 3*u - 29 - 11, -4*u + 52 = -4*d. Let c = u - -10. What is the remainder when c is divided by 12?
10
Let g = 121 - 109. What is the remainder when 46 is divided by g?
10
What is the remainder when 29 is divided by 2*-9*4/(-6)?
5
Let n(w) = 5*w + 6. What is the remainder when 121 is divided by n(5)?
28
Suppose 3*d - 5 - 1 = 0. Suppose 0 = -d*o + p + 23, 2*o - 5*p = 3*o - 39. What is the remainder when o is divided by 5?
4
Let h be (0 - 8/(-12))*18. What is the remainder when 13 is divided by h*2/(-3)*-1?
5
Suppose 0*b + 22 = n + 3*b, -47 = -n + 2*b. Suppose p - 5*g = 23, -p + 11 = g - 0*g. What is the remainder when n is divided by p?
11
Suppose 0 = 208*x - 211*x + 39. What is the remainder when 18 is divided by x?
5
Let i = 11 + -7. Suppose i = 2*s - 6. Suppose 30 = 4*u - 5*p, 5*u = 2*u + s*p + 20. What is the remainder when 39 is divided by u?
9
Let p = 15 + -8. Let f = -4 + p. What is the remainder when 5 is divided by f?
2
Suppose -4*n = -6*n + 216. Calculate the remainder when n is divided by 31.
15
Suppose 2 = 2*a - 6. Calculate the remainder when 8 is divided by a.
0
Suppose 21 = 5*g - 3*n, -5*g - 4*n + 36 = -g. What is the remainder when 93 is divided by -36*(16/g)/(-4)?
21
Let m be (-12)/(-18) - 2/(-6). Calculate the remainder when 43 is divided by 14 - ((m - 1) + -1).
13
Suppose -5*d + 3*d = 0. Suppose d = -2*s + 5*s - 27. Suppose -j + s = 2*j. Calculate the remainder when 7 is divided by j.
1
Let f(k) = k**2 + 4*k - 4. What is the remainder when 83 is divided by f(4)?
27
Suppose 3*a + 18 = -0. Let q(j) = -8*j + 3. Calculate the remainder when q(a) is divided by 13.
12
Suppose -4*w + c + c + 52 = 0, -3*c - 22 = -2*w. Calculate the remainder when (114/12)/((-1)/(-4)) is divided by w.
10
Suppose 6*q - 54 = 54. Calculate the remainder when 70 is divided by q.
16
What is the remainder when 16 is divided by 4 + -1 - (1 + (-6 - -1))?
2
Suppose -3*s = -4*j - 94, 3*j = -2 + 8. Calculate the remainder when s is divided by (36/(-21))/((-4)/42).
16
Let s(f) = -2*f + 6. Calculate the remainder when 44 is divided by s(-3).
8
Suppose 3*v - 4*v + 5*w + 34 = 0, -w - 60 = -4*v. Suppose 0 = m + 4*m - 135. Calculate the remainder when m is divided by v.
13
Let o(d) = -d**3 - 5*d**2 + 4*d + 1. Suppose 5*c + 18 = 2*c. What is the remainder when o(c) is divided by 7 - (2 + 0 - 0)?
3
Let d = 23 + -21. Suppose -d*m = -18 - 8. What is the remainder when m is divided by 5?
3
Let m = -14 - -21. Let d(k) = 7*k - 6. Calculate the remainder when d(m) is divided by 11.
10
Let x(i) = -i**2 + 10*i - 15. What is the remainder when 4 is divided by x(8)?
0
Let c = 2 + 3. Suppose 4*r = -c*z + 308, -3*r = -0*r + 5*z - 226. Calculate the remainder when r is divided by 21.
19
Let v(z) = z + 66. Calculate the remainder when v(-14) is divided by 1/((-2)/(-38)) + -1.
16
Suppose 0 = 6