n) = -n**3 + 8*n**2 - 7*n + 17. Calculate the remainder when 89 is divided by f(7).
4
Let y be 0/(2/(0 - -2)). Suppose -3*t + 62 = -t. Calculate the remainder when t is divided by 18 + (-2 - (0 - y)).
15
Suppose l = d + 2, -4*d - 6 = -2*l - 2. Suppose p = -l*p. Suppose -4*w - 8 = p, 5*r - 4*w + 2*w = 109. What is the remainder when r is divided by 8?
5
Suppose 2*m - 2*z = 310, 0*z = 3*z + 6. Calculate the remainder when m is divided by 13.
10
Suppose 7 - 3 = 4*z. Suppose q - 2*k - 16 = -z, 3*k - 15 = 0. Calculate the remainder when q is divided by 9.
7
Let n = 42 + -28. Calculate the remainder when 53 is divided by n.
11
Let f = 11 - -4. Let r = f - 2. Calculate the remainder when r is divided by 8.
5
Let b = -3 - -5. Suppose 0*u = -u + 6. Calculate the remainder when u is divided by b.
0
What is the remainder when 204 is divided by (5 - 2) + 51 + 0 + -2?
48
Let g be 4/(-6) + (-348)/(-9). Let c = -13 + g. What is the remainder when c is divided by (1 - 2)/((-2)/18)?
7
Suppose s - 10 = 3*u, -3*s - 4*u + 38 = -2*s. Let d(b) = -3*b + 1. Let r be d(5). Calculate the remainder when s is divided by (-4)/r - 82/(-7).
10
Let p(t) = 7*t - 3. Let h be -10 + 2/(0 - -2). Calculate the remainder when p(1) is divided by (9/(-6))/(h/12).
0
Suppose -2*b + 3*n = -184, 112 - 480 = -4*b - 2*n. Calculate the remainder when 10 is divided by 18/(-99) + b/22.
2
Let h(a) = a**3 - a**2 + 46. Suppose -2*b - 3*b + 60 = 0. Calculate the remainder when h(0) is divided by b.
10
Suppose 10 - 1 = -v. Let i = 10 + v. Calculate the remainder when 1 is divided by i.
0
Let u(n) = n**3 - 6*n**2 + 11*n + 6. What is the remainder when 68 is divided by u(5)?
32
Let t = -31 - -53. Let z = -329 + 335. Calculate the remainder when t is divided by z.
4
Let j(q) = -q**3 - q**2 + q - 1. Let x be j(1). Suppose -k = 3*k + 4*i - 16, -12 = 4*i. What is the remainder when 13*(x + (-3)/(-1)) is divided by k?
6
Suppose 141 = -5*z - 4*d + d, 3*d = -z - 33. Suppose 3*c - 5 = 2*r, -5*c - r + 11 = -5*r. Calculate the remainder when 26 is divided by z*(c - (-2)/3).
8
Let r(u) = u + 5. Let z be r(-8). Suppose 3*j - 11 = -3*p + 4*j, 8 = 2*j. What is the remainder when 11 is divided by p - 2*z/(-6)?
3
Let g(c) = 2*c**2 + 4*c - 2. Let j be (12/14)/((-1)/(-126)). Suppose 0 = 3*a - 7*a + j. Calculate the remainder when a is divided by g(-4).
13
Let c(v) = -2*v**2 - 5*v - 2. Let u(s) = -s**2 - 6*s - 3. Let n(z) = 2*c(z) - 3*u(z). What is the remainder when 35 is divided by n(7)?
11
Let b be -6*((-1)/2)/1. Suppose -4*a + 5*u = -133, 2*a + b*u - 61 = -0*a. Calculate the remainder when a is divided by 17.
15
Suppose -5 = 3*u - 14. Let w(k) = 5*k + 1. Let q = -2 - -8. Calculate the remainder when w(u) is divided by q.
4
Suppose 2*v + 15 - 39 = 0. Calculate the remainder when 21 is divided by v.
9
Let i(g) = g**2 - 5*g. Let z be i(4). Let b = -2 - z. Calculate the remainder when 49 is divided by 22 - 3 - b/1.
15
Let b = 69 - 52. What is the remainder when 22/(-4)*-6 + -1 is divided by b?
15
What is the remainder when (-211)/(-11) - (-28)/(-154) is divided by 11?
8
Let b = 2 - 0. Suppose 2*k = 4*u + 6*k - 96, -5*k = -b*u + 76. What is the remainder when 83 is divided by u?
27
Suppose -17*h = -11*h - 168. What is the remainder when 137 is divided by h?
25
Let m(n) = n**2 - 4 + 2*n - 4*n + n. Suppose -p - 22 = 3*i - 0*p, -5*i + 4*p = 14. Calculate the remainder when m(i) is divided by 13.
12
Let w = -3 + 3. Suppose 2*k - 28 = -w*k. What is the remainder when 40 is divided by k?
12
Let h = -9 - -19. Let g(r) = -r**3 + 11*r**2 - 9*r + 11. What is the remainder when 83 is divided by g(h)?
20
Let x(p) = -p**2 - 4*p + 4. Let w be x(-5). Suppose 0 = -5*k + 295 - 90. Calculate the remainder when k is divided by (-42)/(-4)*(1 - w).
20
Let i be 0/(1 - -2) + 0. Let o(j) = -j + 13. Let d = -26 + 75. What is the remainder when d is divided by o(i)?
10
Let h(i) = -i**2 + i + 32. Let t = -33 + 55. Let p = t + -11. What is the remainder when h(0) is divided by p?
10
Let m = -42 - -47. Let o = -8 - -20. Calculate the remainder when o is divided by m.
2
Let f = 12 - 2. Let b be (3 - 1)/(6/162). What is the remainder when 1578/b - (-2)/(-9) is divided by f?
9
Let g(h) = 94*h**3 - 2*h**2 + h. Let o be g(1). Let q = o + -52. What is the remainder when q is divided by 7?
6
Suppose 0 = -4*l - 4*z + 4 + 152, -5*z - 101 = -3*l. Suppose -r + 39 = 2*r. What is the remainder when l is divided by r?
11
What is the remainder when (-16)/2 + 4 + 72 is divided by 14?
12
Let y(k) = -4*k + 13. Let l be y(6). What is the remainder when 41 is divided by l/33 + 86/6?
13
Let z(g) be the third derivative of 2/3*g**3 + 0 + 0*g + g**2 + 1/30*g**5 - 1/8*g**4. Calculate the remainder when 36 is divided by z(3).
10
Suppose v - 3*k - 24 + 4 = 0, 0 = 3*v - 2*k - 46. What is the remainder when 37 is divided by v?
9
Let v = 63 - 49. What is the remainder when 138 is divided by v?
12
Let p = 149 + -118. Calculate the remainder when 121 is divided by p.
28
Let k(c) = c**3 - 6*c**2 + 5*c - 6. Let u be k(5). Calculate the remainder when (-4)/(-6) + (-50)/u is divided by 5*1 + 2 + -2.
4
Let k = 28 + -6. Let p be 735/11 + 4/k. Suppose -p = -3*a - 0*a + h, 5*a - 3*h = 109. What is the remainder when a is divided by 8?
7
Let m = -15 + 153. Suppose k + 3*b - 9 = 0, 2*k - 8 = -4*b + 6. Calculate the remainder when 46 is divided by 2/k - m/(-9).
14
Suppose -33 = -2*c + 191. Calculate the remainder when c is divided by 19.
17
Let f(k) = k - 3. Calculate the remainder when 10 is divided by f(7).
2
Let f(g) = g + 2. Calculate the remainder when f(3) is divided by ((-6)/(-21))/(3/42).
1
Suppose 20 = 7*h - 3*h. Suppose -2*m + 4*j - j + 33 = 0, -h*j + 49 = m. What is the remainder when m is divided by 13?
11
Let x(p) = p**2 - 5*p + 3. Let g(y) be the first derivative of y**4/4 + 7*y**3/3 + 5*y**2/2 - 4*y + 1. Calculate the remainder when x(5) is divided by g(-6).
1
Suppose 49 - 7 = 3*m + 4*q, 0 = m + 2*q - 12. Calculate the remainder when 51 is divided by m.
15
Calculate the remainder when 23 is divided by 40/((-20)/5)*(-3)/2.
8
Suppose 3*h + 0*h + 40 = 2*z, z - 4*h - 10 = 0. Let f(v) = -v**3 - 3*v**2 + 7*v - 1. What is the remainder when z is divided by f(-5)?
12
Let v(z) = -3 - 2*z + 3. Let b be v(-1). Suppose -b*k + 2*d = -2*d, -12 = -5*k + 4*d. What is the remainder when 7 is divided by k?
3
Let f be (4/8)/(2/8). Calculate the remainder when 35 is divided by 3 + 27/(f + 1).
11
Let a = 18 - 5. Calculate the remainder when 9 is divided by a/5 + (-2)/(-5).
0
Let z(y) = 0 - 1 + 6*y - 1 + 1. What is the remainder when z(5) is divided by 10?
9
Let c = -30 + 43. Calculate the remainder when c is divided by 4.
1
Let l = -209 + 259. Suppose 2*s = -s - 111. Calculate the remainder when l is divided by (-6)/(-9) - s/3.
11
Let n(b) = b**3 + 6*b**2 + 6*b + 3. Calculate the remainder when 19 is divided by n(-4).
8
Suppose 23*t - 19*t - 116 = 0. Calculate the remainder when 142 is divided by t.
26
Let u(q) = q**2 + q + 84. Let k be u(0). Suppose -3*p - p = k. What is the remainder when (154/(-3))/(14/p) is divided by 20?
17
Let s = -20 - -49. Let a = s - 20. Calculate the remainder when 17 is divided by a.
8
Let r(f) = -45*f + 8. Let x be r(-6). Suppose -2*a = 5*y - x, 4*y - 4*a - 200 = -0*a. What is the remainder when y is divided by 28?
26
Let n(y) = y**3 - 7*y**2 + 8*y + 4. Let c(q) = q - 6. Let r be c(4). What is the remainder when (-5 - -9)/(r/(-23)) is divided by n(6)?
14
Suppose -23*j = -16*j - 336. Calculate the remainder when 141 is divided by j.
45
Let j = 11 - 18. Suppose 0 = -5*h + 5*q + 70, 2 - 82 = -5*h - 5*q. Let z = h + j. What is the remainder when 14 is divided by z?
6
Suppose -2*j + j + 10 = 0. Suppose -5*i - 2*l = -5*l - 32, 4*i = 2*l + 24. Calculate the remainder when j is divided by i.
2
Suppose -6*z = -2*k - 11*z + 67, -2*k + z = -49. Calculate the remainder when 56 is divided by k.
4
Let m = 108 - 154. Let q = -31 - m. Calculate the remainder when ((-38)/(-3) + 2)*(-3)/(-1) is divided by q.
14
Let w = -18 - -26. Let g = 58 + -37. What is the remainder when g is divided by w?
5
Let g be (-3)/12 + 26/8. Suppose 4*o - g*o = 11. Calculate the remainder when 32 is divided by o.
10
Suppose -9*d + 12*d - 192 = 0. Calculate the remainder when d is divided by 22.
20
Let