 3*s**2 - 4*s + 2. Let a be u(4). Suppose -3*g = -4*g + a. Suppose n + c = 2, -n + 2*c = 1 - 3. Calculate the remainder when n is divided by g.
0
Let f(i) = 2*i**2 - 11*i + 13. Calculate the remainder when f(8) is divided by 18.
17
Suppose 0 = -4*w + 4*p - p - 104, 0 = 3*w - p + 78. Let s = -5 - w. What is the remainder when s is divided by 8?
5
Let m = 31 - 19. What is the remainder when 45 is divided by m?
9
Suppose 8*q - 112 = -0*q. Calculate the remainder when 18 is divided by q.
4
Let z be 4/(-14) - (-176)/28. Suppose 0 = -5*p + z + 9. What is the remainder when 9 is divided by p?
0
Suppose -5*z + 19 + 6 = 0. Let a(c) = -c - 11. What is the remainder when z is divided by a(-13)?
1
Let j(w) = w**2 - 12*w + 7. What is the remainder when 33 is divided by j(13)?
13
Suppose 5*u = -0*u + 405. What is the remainder when u is divided by 14?
11
Let n(b) = -b**3 + 10*b**2 + 12*b + 9. What is the remainder when 38 is divided by n(11)?
18
Let t(r) = r**3 - 8*r**2 + 8*r + 22. Calculate the remainder when 53 is divided by t(7).
24
Let n be 2/(-9) - 332/(-36). Let b = -35 + 49. What is the remainder when (-2)/(-6) + 231/n is divided by b?
12
Let l(c) = c**2 - 3*c + 12. Let t be l(8). What is the remainder when (-3)/(-3) - (-36)/1 is divided by (7/14)/(2/t)?
11
Let f be 2 - -2*(-2)/(-4). Let h = f - 0. Suppose 0 = 5*k - 3*l - 60, -l - 51 = -h*k - 15. What is the remainder when 22 is divided by k?
10
Let u = -307 + 322. Suppose 4*m = 5 + 3. Suppose -m*f = 4*n + 3*f - 176, -176 = -4*n + 4*f. Calculate the remainder when n is divided by u.
14
Let o(m) = 15*m - 7. Let b be o(5). What is the remainder when (18/12)/(3/b) is divided by 12?
10
Let i = -53 + 76. Calculate the remainder when i is divided by 5.
3
Let o be 7 - 3/((-3)/1). Suppose 5*y - o = 2. What is the remainder when ((-5)/3 + y)*39 is divided by 7?
6
Suppose 2*g = 4*g - 4*r - 36, 0 = -2*g + r + 48. What is the remainder when g is divided by 9?
8
Suppose j + j - 3*g = 57, -73 = -3*j + 2*g. Suppose -4*b = 4*p - p - j, 0 = b + p - 6. Let n = 14 - 5. What is the remainder when n is divided by b?
0
Suppose -6*v + 2*v + 248 = 0. What is the remainder when v is divided by 16?
14
Let z = -3 - -11. Let u(c) = c**2 - 8*c + 8. Let r be u(6). Let n = r + 9. What is the remainder when z is divided by n?
3
Let j(w) = -w**2 - w. Let v be j(0). Suppose v*r - 14 = -r. Suppose -5*a + 5*c = -a - 42, -2*c - 4 = 0. What is the remainder when r is divided by a?
6
Let s(m) = 14*m**3 - 2*m**2 + 2*m. Calculate the remainder when s(2) is divided by 56.
52
Let j(o) = o**3 + 5*o**2 + 5*o + 6. Let k be j(-4). Suppose 5*z + 43 = 3*w, -55 = -3*w + k*z - 0. What is the remainder when 60 is divided by w?
18
Suppose 4*x + 3 = 27. Suppose x*c - 70 = c. Suppose 0 = 5*s - 135 - 65. Calculate the remainder when s is divided by c.
12
Let n = 7 + -4. Suppose b + 30 = n*d + 4*b, 0 = d - 3*b - 2. What is the remainder when d is divided by 5?
3
Let z(b) = -b**2 + 13*b - 12. Suppose -26 = d + 40. Let n = -47 - d. What is the remainder when n is divided by z(11)?
9
Let k = 4 - 6. Let a be (1 - (1 - -1))*k. Suppose 5*u - a*g = 26, 3 + 11 = 2*u + g. Calculate the remainder when 16 is divided by u.
4
Suppose l + 3 = -3*k + 16, -5*k - 4*l = -10. Calculate the remainder when 16 is divided by k.
4
What is the remainder when (228/14 - (-18)/(-63)) + -1 is divided by 12?
3
Suppose -4*b + 3*r + 21 = 0, 14 = b + 2*r - r. Suppose 29 = m + 5*a, 5*m - 164 = 3*a + b. Let o = -13 + 22. What is the remainder when m is divided by o?
7
Let c(a) be the first derivative of -2*a**2 + a**3 + 3*a + 1/4*a**4 + 3. What is the remainder when 5 is divided by c(-4)?
2
Let r = 9 + -7. What is the remainder when 34 is divided by -3 + r + -1 - -11?
7
Suppose 4*q - 9 = 7. Suppose 15 = q*y - 29. Suppose -43 = -3*g + 17. What is the remainder when g is divided by y?
9
Suppose -3*o + b = -265, -5*o = -o + 4*b - 364. What is the remainder when o is divided by 30?
29
Suppose 5*h = -15, g = 4*g - 2*h + 12. Let d(f) be the third derivative of -f**4/6 + f**3/6 + f**2. What is the remainder when d(g) is divided by 14?
11
Let h = 3 + -4. Let u = h - 2. Let n = -1 - u. Calculate the remainder when 5 is divided by n.
1
Let y(b) = 9*b - 5. Calculate the remainder when y(3) is divided by ((-2)/(-3))/(3/27).
4
Let l be -4 + -3 + (27 - -4). Let q = -9 + l. What is the remainder when 42 is divided by q?
12
Let r = 4 + 1. Suppose -r*d = -40 - 210. What is the remainder when d is divided by 13?
11
Suppose -30*f = -26*f - 292. Calculate the remainder when f is divided by 11.
7
Suppose 0*y = -y. Let i(a) = a**3 - 2*a**2 + 2*a. Let b be i(2). Suppose b*p + p - 215 = y. Calculate the remainder when p is divided by 15.
13
Suppose 2*i = 2*x - 6, -3*i = -i - 4. Suppose 2*n - 15 = -x. Calculate the remainder when 8 is divided by n.
3
Let c(k) = -k + 5. Let a be c(4). Suppose 0 = 4*j - 2*z - 20, 0 = -j - 4*z + 3*z - a. What is the remainder when 4 is divided by j?
1
Calculate the remainder when (-6)/(-6) - -46*1 is divided by (-10)/(-60) - (-286)/12.
23
Let j(y) = -47*y**2 - 3*y - 3. Let r(i) = 236*i**2 + 16*i + 16. Let v(w) = -11*j(w) - 2*r(w). What is the remainder when v(-1) is divided by 16?
13
Suppose -3*z + 4*n + 15 = -0*z, 2*z - 10 = -4*n. What is the remainder when 61 is divided by z?
1
Let a be 1*(-4)/2*10. What is the remainder when 11 is divided by (-1 + 15)*(-10)/a?
4
Calculate the remainder when 14 is divided by (-1 - -3)*((-25)/(-10) + -1).
2
Suppose 5*n = -2*a - 27, 4*a + 3*n + n = -24. Calculate the remainder when 24 is divided by 13*(a/(-1))/1.
11
Let k(h) = h**2 - h**2 - h - 3*h + 2*h**2 + h**3. Calculate the remainder when 3 is divided by k(-3).
0
Let o be 48/(-26) + 8/(-52). Let c(t) = t**2 + t. Let k be c(o). Suppose 3*h - 105 = -k*h. Calculate the remainder when h is divided by 8.
5
Suppose -12*i + 3 = -9*i. Let f = -15 + 11. What is the remainder when (-6)/(-10) - f/10 is divided by i?
0
Let s(p) = 3*p**3 - 2*p**3 + 5*p**2 + p - 2*p**2 - 2*p**2 + 11. Calculate the remainder when 32 is divided by s(0).
10
Let i(s) = s**2 - 4*s + 6. Suppose x = 4*x - 15. Suppose 4*k + 96 = x*u, -3*u - 3*k - k + 32 = 0. What is the remainder when u is divided by i(4)?
4
Suppose -2*j + 14 - 4 = 0. Suppose 2*h + j*v = -h + 26, 3*v = -2*h + 16. Suppose -2*m + 28 - h = 0. What is the remainder when 37 is divided by m?
11
Suppose 108 = 2*o - 22. Let f = -45 + o. What is the remainder when f is divided by (1/(-2))/(4/(-56))?
6
Let x(k) = 2 + 2*k + 2 + 0*k. Calculate the remainder when 52 is divided by x(7).
16
Let l = 18 - -8. Suppose -4*a + 2 = -l. Calculate the remainder when a is divided by 3.
1
Let v = -78 + 83. Suppose -r = -9 + 3. Let l = r - 2. What is the remainder when v is divided by l?
1
Let q(i) = -8*i + 34. What is the remainder when q(4) is divided by 2?
0
Let b(f) = -1. Let o(i) = 4 + 27*i**3 + 7*i**2 - 8*i**2 + 1 - 2. Let t(q) = 3*b(q) + o(q). Calculate the remainder when 77 is divided by t(1).
25
Let q = 9 - 3. Calculate the remainder when ((-162)/q)/((-3)/2) is divided by 7.
4
Let w be 3 + -3 - (-126 + 0). Suppose 0 = -2*s - 0*s + w. Calculate the remainder when s is divided by 16.
15
Let h = -92 + 109. Calculate the remainder when 65 is divided by h.
14
Let h(k) = 2*k**2 - 6*k - 1. Let m be (-12)/(-54) - 220/18. Let d = -2 - m. What is the remainder when h(5) is divided by d?
9
Let m(y) = 22*y**3 + 5*y**2 + y + 2. Let v(j) = 66*j**3 + 14*j**2 + 3*j + 5. Let c(h) = -11*m(h) + 4*v(h). What is the remainder when c(1) is divided by 5?
2
Let z(j) = j**3 - j + 47. What is the remainder when z(0) is divided by 16?
15
Suppose -4*x - 4*p + 148 = 0, -13 = 4*p - 1. What is the remainder when x is divided by 22?
18
Let a(h) = 7*h - 12. What is the remainder when 77 is divided by a(4)?
13
Suppose 5*n - 7 - 1 = 2*m, -8 = -2*n. What is the remainder when 17 is divided by m?
5
Suppose d + 3*d + 12 = 0. Let u(x) = -x**3 - 3*x**2 + 3. What is the remainder when u(d) is divided by 2?
1
Let w(g) = -g - 3. Let a(d) = 1. Let f be (-2 - (-1 + 0))*2. Let j(o) = f*w(o) - 10*a(o). Calculate the remainder when j(9) is divided by 8.
6
Let g = -10 + 5. Let v = g + 15. Calculate the remainder when v is divided by 6.
4
Let k(g) = g**3 + 5*g**2 + 5*g + 4. Let q be k(-4). Suppose q = j + 5 - 17. Calculate the r