n(s) = -s**3 + 6*s**2 + 5. Suppose 28 = -3*k + 4*k. Let c = k + -15. Calculate the remainder when c is divided by n(6).
3
Let r(p) = 3*p + 6. Let k(m) = -m. Let c(f) = 4*k(f) + r(f). Let z be c(13). Let u(t) = -t**2 - 10*t - 6. Calculate the remainder when 42 is divided by u(z).
12
Suppose 4*u + 4 = 12. Suppose -3*d = u*d - 25. Calculate the remainder when 6 is divided by d.
1
Let i(n) be the first derivative of n**2/2 - 2*n + 2. Suppose 0*x = -3*x + 21. Calculate the remainder when x is divided by i(5).
1
Let v(h) = -h**3 + 10*h**2 - 10*h + 13. Calculate the remainder when 13 is divided by v(9).
1
Let q = 10 - -3. Calculate the remainder when 51 is divided by q.
12
Let n = 11 - 4. Let q be (-1 + (-2)/(-3))*-12. Let f(r) = -r + 8. What is the remainder when n is divided by f(q)?
3
Let s = 12 - -26. Let v(x) = -6*x - 2. What is the remainder when (s/(-4))/((-4)/8) is divided by v(-2)?
9
Suppose -10*s = -5*s - 100. Calculate the remainder when 78 is divided by s.
18
Suppose -2*u = -7*u - 20, 3*u = -4*r + 156. Let w = r + -30. Calculate the remainder when 33 is divided by w.
9
Suppose -z - 2*z = -3. Suppose 2*p + p + 5*f = 30, -5*p = -2*f - 81. What is the remainder when z + (0/(-2) - -42) is divided by p?
13
Suppose 0 = -j - 2*d + 16, -5*j = -d + 3*d - 56. What is the remainder when 37 is divided by j?
7
Calculate the remainder when 10 is divided by ((-4)/(-2) - 7)/(-1).
0
Suppose -94 = -5*b - 14. Let y(n) = -n**2 - 5*n. Let j be y(-3). Let o = j + 40. Calculate the remainder when o is divided by b.
14
Let g(w) = w**3 + 5*w**2 - 8*w + 5. Let c be 8/2*-2 + 2. Calculate the remainder when 50 is divided by g(c).
16
Let w(g) = -4*g + 2. Let n be w(3). What is the remainder when (6 - -14)/((-4)/n) is divided by 17?
16
Suppose -u - 2*u + 33 = 0. Calculate the remainder when u is divided by 1 + -1 - -1 - -3.
3
Let m(f) = -f**3 - 7*f**2 - 6*f + 7. What is the remainder when 11 is divided by m(-6)?
4
Let g(h) = -h**3 + 5*h**2 + 5*h + 7. Suppose -17 = -2*r + 5. Calculate the remainder when g(5) is divided by r.
10
Let k(y) = -y**3 + 3*y**2 + 3*y + 1. What is the remainder when 49 is divided by k(3)?
9
Suppose 40 = 28*x - 24*x. Suppose -2*f + 97 = 21. Calculate the remainder when f is divided by x.
8
Suppose 2*i = 3*i - 2. What is the remainder when i is divided by 2?
0
Suppose 3*n - 2*n - c - 11 = 0, -2*n = -4*c - 12. Calculate the remainder when (-1)/4 - 185/(-4) is divided by n.
14
Let v(h) = h**3 + 13*h**2 - 15*h - 5. Let g(a) = -a**2 - 7*a - 5. Calculate the remainder when v(-14) is divided by g(-5).
4
Suppose 0 = -5*h + 409 + 221. Suppose 2*b + 40 = 4*b - g, 0 = -5*b - 4*g + h. Calculate the remainder when 42 is divided by b.
20
Let b = 4 + -2. Suppose 0*t = -b*t + 3*i + 38, 0 = -3*t + 2*i + 47. What is the remainder when 25 is divided by t?
12
Let i = 52 - 25. Let k(d) = 36*d - 1. Calculate the remainder when k(3) is divided by i.
26
Let y(a) = a**3 + 8*a**2 + 11. Suppose 12*b = 13*b + 8. What is the remainder when 19 is divided by y(b)?
8
Suppose 2*k - 4*q = 4*k + 20, -k + 5*q = -25. Suppose k = 2*z + 3*z - 80. Let v = z - 7. What is the remainder when 25 is divided by v?
7
Let u = 6 + -28. Let l = 14 + u. Let y = 15 + l. Calculate the remainder when 20 is divided by y.
6
What is the remainder when 149 is divided by ((-468 + 0)/6)/(3/(-2))?
45
Let m(l) = -2*l**2 + 36*l - 7. What is the remainder when m(17) is divided by 5?
2
Let n = -93 + 115. What is the remainder when 32 is divided by n?
10
Let n(t) = t + 2. Let l be n(-8). What is the remainder when 21/l*(-1 + -1) is divided by (-3 - -2)*(-12)/4?
1
Let z(x) = -2*x**3 + x + 46. What is the remainder when 88 is divided by z(0)?
42
Suppose n = -5*a + 3 + 12, 0 = 2*a - 6. Let c = 27 + n. What is the remainder when c is divided by 7?
6
Let c(r) = -r**2 + 7*r + 6. Suppose -4*k - 21 = -7*k. What is the remainder when c(k) is divided by 3?
0
Suppose 4*i = f - 10 - 15, 0 = -4*f - i + 100. Calculate the remainder when f is divided by 14.
11
Suppose -5*f + 2*f + 3 = 0. Suppose -m - 3*c - 14 = 0, 5*m + 4*c - 10 = -25. Calculate the remainder when (-5)/(m/((-1)/f)) is divided by 2.
1
Let r(z) = -z**3 - 8*z**2 + 9*z + 11. Let u be r(-9). Calculate the remainder when 6 is divided by (-1)/(-4)*(u - -1).
0
Let r(x) = -x**3 + 8*x**2 + 12*x - 10. What is the remainder when 82 is divided by r(9)?
14
Let k(a) = a**3 - a**2 - a. Let m(h) = -8*h**3 + 9*h**2 + 7*h + 2. Let q(y) = -14*k(y) - 2*m(y). Calculate the remainder when 41 is divided by q(3).
13
Suppose j + 5*j = 300. What is the remainder when 99 is divided by j?
49
Suppose 6 = p - 22. Suppose -4*t = -4*m + 40, -50*t = -3*m - 52*t + 30. Calculate the remainder when p is divided by m.
8
Suppose -6*w + 14 = -3*w + i, 3*w - 16 = -2*i. Calculate the remainder when -1*2/w*-38 is divided by 10.
9
Let q = 130 - 101. What is the remainder when 172 is divided by q?
27
Calculate the remainder when 29 is divided by 2 + 8 + 0 + (2 - 1).
7
Suppose -m - 4*m = -85. Let o = 32 + 33. What is the remainder when o is divided by m?
14
Let a(k) = k**3 - k**2 + k + 67. Let p be a(0). Suppose -3*x + 0 = -3, 3*v - 5*x = p. What is the remainder when v is divided by 13?
11
Suppose p - 9 = 27. Calculate the remainder when p is divided by 10.
6
Let n(m) = -m**3 + 3*m**2 + 4. What is the remainder when n(3) is divided by 1?
0
Let p be (-1 + 1)/(-3) - -177. Let k = p - 122. Suppose -4*s - s = -k. Calculate the remainder when s is divided by 6.
5
Suppose 0 = 9*y - 119 - 448. What is the remainder when y is divided by 11?
8
What is the remainder when 35 is divided by 16/(-24) + (-38)/(-3)?
11
Suppose 15 = 2*a - a. What is the remainder when a is divided by 4?
3
Let c = 14 - -26. Calculate the remainder when c is divided by 21.
19
What is the remainder when 794/14 + 12/42 is divided by 15?
12
Suppose 2*m = -5*o + 7, 3*o = -o - 4*m - 4. Let j = o - 1. Suppose 5*a + 41 = 3*k, 0*k + a = -j*k + 10. What is the remainder when 19 is divided by k?
5
Suppose -l + 2 = l. Let p(c) = 22*c - 3. Let d(u) = 43*u - 5. Let t(m) = 4*d(m) - 7*p(m). Calculate the remainder when 55 is divided by t(l).
17
Suppose 4*k = 1 - 5. Let q be k/((2 + -1)/(-1)). What is the remainder when 0 + -1 + q - -6 is divided by 4?
2
What is the remainder when 6/(-8) - (-5 + (-3690)/24) is divided by 10?
8
Let w be (-90)/(-9)*(-11)/(-2). Suppose k - 26 = -2*p + 3*p, w = 2*k + p. What is the remainder when 52 is divided by k?
25
Suppose f = -4*f + 10. Let t(v) = 4*v + 2. Calculate the remainder when t(f) is divided by 4.
2
What is the remainder when (-16)/(-20) + (0 - 3280/(-25)) is divided by 15?
12
Let d(w) = w**2 + 2*w + 6. Suppose -k = k - 5*g + 42, 2*g - 4 = 0. Let c = k + 56. What is the remainder when c is divided by d(-4)?
12
Let c(p) = 2*p + 5. Let b = 1 - 9. Let k = b + 15. Calculate the remainder when c(4) is divided by k.
6
What is the remainder when 0 + 8/(-12)*-21 - -1 is divided by 9?
6
Let n = 35 - 24. Suppose 2*g = 3*g + 2*r - 55, 4*g - 181 = 5*r. Let l = g + -28. Calculate the remainder when l is divided by n.
10
Suppose -p = -1 - 1. Let i = p + -4. Let t(g) = 7*g**2 - 3*g - 2. What is the remainder when t(i) is divided by 11?
10
Suppose 2*u - 34 = -5*x - u, 5*x = 3*u + 46. What is the remainder when (3/2)/((-3)/6) - -34 is divided by x?
7
Let t = 80 + -60. Let q(z) = z - 4. Let x be q(4). Suppose -2*s + x*s = -14. Calculate the remainder when t is divided by s.
6
Let u(x) = 5*x**2 + 2*x. Calculate the remainder when 40 is divided by u(1).
5
Let x = -71 + 89. Calculate the remainder when x is divided by 8.
2
What is the remainder when (1/3)/(2/282) is divided by 12?
11
Suppose 0 = -2*o + 19 - 1. What is the remainder when o is divided by 5?
4
Calculate the remainder when (2 - (-10)/(-3))*258/(-4) is divided by ((-44)/(-10))/(2/10).
20
Let j(w) = w**2 - w + 2. Let y(n) = n**2 - 6*n. Let f be y(6). Suppose f = 2*c + 3 + 5. What is the remainder when j(c) is divided by 8?
6
Suppose -z - 3 = 3*b, 0 = 4*z - 3*z + 4*b + 8. Let h = z - 53. Let g = h + 79. What is the remainder when g is divided by 13?
12
Let v(p) = -p**2 - 11*p - 11. Let j = 13 - 19. What is the remainder when v(j) is divided by 11?
8
Let y(g) = g - 10. Let r be y(7). Calculate the remainder when 70 is divided by (-4 - r)*1 + 19.
16
Suppose -357 = -4*