5/20 + 5*q**4/12 - q**3/3 + 3*q**2/2 - 2*q. What is the remainder when c(-5) is divided by 5?
3
Let w(h) = -h**3 + 3*h**2 + 2*h + 2. Calculate the remainder when 12 is divided by w(3).
4
Let q = -2 - -2. Let b be (2 + q)/((-1)/(-2)). Suppose -42 = -b*i + 26. What is the remainder when 31 is divided by i?
14
Let z = 2 - 2. Suppose 0 = -3*x - z*x. Suppose 0 = r - 2, 58 = -x*v + 3*v - r. Calculate the remainder when 58 is divided by v.
18
Let t(g) = g**2 - 4*g - 3. Let h be t(5). Suppose 3*j = -2*w + 2, h*w + 2*j = -2*w + 20. What is the remainder when w is divided by 3?
1
Let j be (3/9)/((-1)/(-9)). Suppose j*s + s - 32 = 0. Let l = -4 + s. What is the remainder when l is divided by 2?
0
Let v(u) = -u**2 - 10*u - 6. Calculate the remainder when 35 is divided by v(-4).
17
What is the remainder when 63 is divided by 6 + 0 + 6/3?
7
Suppose -2*x + 59 = -11. Suppose o + 2*q + 5 = -9, 4*q + 4 = 0. What is the remainder when x is divided by (0 + -1)/(1/o)?
11
Let c(b) = -2*b - 5. Calculate the remainder when 26 is divided by c(-8).
4
Let k = 9 - -1. Suppose 0*j + 77 = 4*p - j, 0 = 2*j + k. Let z(y) = -13*y + 1. What is the remainder when z(-4) is divided by p?
17
Let m(y) be the first derivative of -1/4*y**4 - 2*y**2 - 1 + 3*y - 5/3*y**3. Calculate the remainder when m(-5) is divided by 12.
11
Let f(a) = 6*a**2 - a - 3. Let p be f(5). Suppose n + n - p = 0. What is the remainder when n is divided by 24?
23
Let r(i) = i**2 - 3*i. Let m be r(4). Suppose m*d = -d + 130. Let b = -13 + 22. What is the remainder when d is divided by b?
8
Suppose 0 = -3*m - 12 + 3. Calculate the remainder when 44 is divided by (5/3)/(m/(-27)).
14
Let u = 90 + -55. Let q(v) = -v - 2. Let p be 11/(-1 + 0)*1. What is the remainder when u is divided by q(p)?
8
Let m(r) = 23*r + 1. Let i(f) = -2*f - 5. Let o(j) = -j - 1. Let z(v) = i(v) + 2*o(v). Calculate the remainder when m(1) is divided by z(-5).
11
Let t(f) = f**2 - 5*f - 19. Calculate the remainder when t(-5) is divided by 8.
7
Suppose -32 = -2*m - 2*m. Suppose 3*k - 17 = -5. Suppose -5*b = 3*y - 106, 0 = k*b - y + 4*y - 83. Calculate the remainder when b is divided by m.
7
Suppose b = -a - a + 10, -25 = -5*a - 2*b. What is the remainder when (20/(-2) + -2)/(-1) is divided by a?
2
Let g = 7 + -7. Suppose 0 = 3*o - g*o - 42. What is the remainder when 54 is divided by o?
12
Suppose 18 = 5*d - 4*d. Suppose 0*p - d = -2*p. Calculate the remainder when 16 is divided by p.
7
Let n(b) = -3*b + 2. Let k be n(-3). Let l = 14 - k. Suppose l*z + 3 - 9 = 0. What is the remainder when 3 is divided by z?
1
Let j(o) = o**3 - 12*o**2 + 10*o + 16. Let p be j(11). Suppose k + h - 39 = -2*h, -p*k - 4*h + 173 = 0. Calculate the remainder when k is divided by 18.
15
Let m(z) = -z**3 - 32*z**2 - 31*z + 33. Calculate the remainder when 328 is divided by m(-31).
31
Suppose 24 - 4 = 2*b. Let o = 60 + -149. What is the remainder when o/(-3) + 16/(-24) is divided by b?
9
Suppose -14*f - 40 = -10*f. Calculate the remainder when 2/f - (-459)/45 is divided by (-1)/(-3) + 11/3.
2
Let z(s) = 2*s**2 + 5*s + 3. Let q(d) = d. Let b(k) = -5*q(k) + z(k). What is the remainder when b(4) is divided by 12?
11
Let x = 4 - -3. Let h(d) = d**2 - 3*d + 10. Calculate the remainder when h(x) is divided by 13.
12
Let q = 16 + -14. What is the remainder when 3 is divided by q?
1
Suppose 4*i - 109 = 3*i + 2*c, -4*c = -i + 119. What is the remainder when i is divided by 26?
21
Let h = -138 - -71. Let s = h + 102. Let x = -13 + s. Calculate the remainder when x is divided by 6.
4
What is the remainder when 12/5 + 4/(-10) is divided by 2?
0
Let g(h) = -3*h**3 - h**2 - h. Calculate the remainder when 8 is divided by g(-1).
2
Let n = -9 - -24. Calculate the remainder when 44 is divided by n.
14
Suppose q + 4*b + 28 = 0, -3*q + 5*b + 2 = 1. Let k = 1 - q. What is the remainder when 25 is divided by k?
7
Let i(p) = p**2 - 17*p - 12. Let a be i(18). Suppose 0 = 4*u + 2*x - 54, -5*u - 4 = -4*u - 3*x. Let f = u - a. What is the remainder when 7 is divided by f?
2
Let d(j) = -2*j - 3. Let b be d(-9). Suppose 0 = -5*p + 35 + b. Let y = -2 + p. Calculate the remainder when y is divided by 3.
2
Let g be (3/(-2))/((-9)/264). Suppose 0 = v - 4*p + p - 12, p + g = 3*v. What is the remainder when v is divided by 4?
3
Calculate the remainder when 33 is divided by (10/(-6))/((-5)/18).
3
Calculate the remainder when (1/2)/(-2*(-1)/560) is divided by 36.
32
Suppose 2*d + 3*d - 10 = 0. Let b(f) = -f**2 + 5*f + 8. Let o be b(6). Suppose 4*z = 3*z + 2*j + o, 4*z - 4*j = 8. What is the remainder when z is divided by d?
0
Let o(a) = -9*a + 1. Let f(h) be the third derivative of -h**5/60 - 7*h**4/24 - h**3/3 + 6*h**2. Calculate the remainder when o(-1) is divided by f(-6).
2
Suppose 31 = 2*p - 5. Suppose 2*v - 39 = -v. Let a = 18 - v. What is the remainder when p is divided by a?
3
Suppose -5*l + 4*c = -2*l - 69, -c = 5*l - 92. Calculate the remainder when l is divided by 8.
3
Let h(s) be the first derivative of s**4/4 + 2*s**3 - s**2/2 + 6*s + 2. Let w be h(-6). Suppose -2*y + w = -2. What is the remainder when 19 is divided by y?
5
Let i(s) = 13*s + 3. Suppose -2*r + 21 = -3*h + r, 4*h + 20 = 2*r. Let n = 0 - h. Calculate the remainder when i(n) is divided by 22.
20
Let n = 159 - 41. Calculate the remainder when n is divided by 30.
28
Let g(a) = -2*a**3 + 5*a**2 - 5*a + 4. Let n be g(4). Let s = -39 - n. Calculate the remainder when s is divided by 13.
12
Let l be (4 + -8)/(2 + -3). Suppose -4*s + 112 = l*z, -4*s - 117 - 11 = -4*z. Calculate the remainder when z is divided by 16.
14
Let v = 2 - 0. Suppose 3*l + v*l = -20. Let s(b) = b**3 + 5*b**2 + 1. What is the remainder when s(l) is divided by 6?
5
Calculate the remainder when 27 is divided by -10 - -15 - (2 - 3/1).
3
Let g = 26 + -11. Calculate the remainder when 27 is divided by g.
12
Suppose 3*d = -5 + 17. Calculate the remainder when 5 is divided by d.
1
Let x = 201 + -174. Calculate the remainder when 132 is divided by x.
24
Let q = -15 + 20. Suppose -q*i = -k - 10, -8*i = -3*i - 4*k + 5. Calculate the remainder when 7 is divided by i.
1
Let r(n) = 6*n**2 - 1. Let q be r(1). Suppose -q*l = -3*z - 22, 5*l + 2 = 2*z - 5*z. What is the remainder when 44 is divided by z/10 + 77/5?
14
Let g = 12 + -20. Let k(x) = x**3 + 9*x**2 + x - 6. Calculate the remainder when k(g) is divided by 13.
11
Let h = -7 + 10. Suppose -5*s + 26 + 39 = 2*r, 0 = r - 2*s - 37. Suppose 7*b - h*b = -a + r, 3*b = -4*a + 75. What is the remainder when a is divided by 8?
7
Let h = -157 - -267. What is the remainder when h is divided by 18 + 7 + (-1)/((-2)/6)?
26
Let t = 8 + 1. Let y(v) = -5*v + 1 + 0 + 0. What is the remainder when y(-5) is divided by t?
8
Let j = -117 + 179. What is the remainder when j is divided by 16?
14
Suppose 0 = 2*h - 2 - 6. Suppose 4*i - 26 = 3*i - 2*t, -i - h*t + 24 = 0. What is the remainder when i is divided by 15?
13
Let j(g) = -11*g**3. Let o(l) = l + 7. Let f be o(-4). Suppose -3*d - 10 = 2*v - 3*v, -f*v + 23 = -2*d. What is the remainder when j(-1) is divided by v?
4
Let u = 143 - 102. Suppose -5*p + 161 - u = 0. What is the remainder when p is divided by 9?
6
What is the remainder when -4 - 11*(-1 - 9) is divided by 27?
25
Suppose -32 + 6 = -2*k. Calculate the remainder when k is divided by 3.
1
Suppose 3*q = -0*q + 57. Calculate the remainder when q is divided by 10.
9
Suppose 3*u + k + 3*k = 21, -3*k = -9. Suppose -2*g + u*m + 21 = 3*g, 5*g - 13 = -m. Calculate the remainder when 8 is divided by g.
2
Let m = 24 + -15. Calculate the remainder when (-132)/(2 - -2)*-1 is divided by m.
6
Let h(r) = 2*r - 6. What is the remainder when 53 is divided by h(10)?
11
Suppose 27 = -5*j - 3. Suppose -4*y + 2*y - 18 = 0. What is the remainder when 16 is divided by 1*6*y/j?
7
Let c = -25 + 52. Calculate the remainder when 49 is divided by c.
22
Suppose -c + f - 6 = 0, -5*f + 4 = 2*c + 2. What is the remainder when 2/(-4)*2 + 24 is divided by 6 - (c - (-1 + -1))?
7
Let i(x) = -x**2 - 6*x - 3. Let v be i(-5). Suppose 2*f - 11 = v*u - 3*u, 5*f - 3*u = 0. What is the remainder when 7 is divided by f?
1
Let p be 2/(-6) - 28/(-12). Let d be (85/p)/((-1)/(-2)). Suppose -4*k + 31 = -d. What is the remainder when k is divided by 10?
9
Suppose -25 = -a - 7.