 9. Suppose 0 = -3*k + 3*w - 18, k - x*k = -w + 15. Let s(c) = c**2 + 4*c + 4. Calculate the remainder when 1 is divided by s(k).
0
Suppose 7*x = 2*x + 150. What is the remainder when 118 is divided by x?
28
Suppose 5*y = -10, 2*u + 0 = -4*y + 38. Suppose 0 = m - 5*m + 172. What is the remainder when m is divided by u?
20
Suppose -3*x - 2*x = -15. Suppose x*y - 8*y = -45. Calculate the remainder when y is divided by 4.
1
Let b = -3 + 5. Suppose -b*k + 2 = 3*w - 0, -4*k + 12 = 4*w. Let n(l) = -l**2 + 9*l - 4. What is the remainder when 29 is divided by n(k)?
9
Suppose 4*s + u = 34, 0*s + 15 = s - 3*u. What is the remainder when 15 is divided by s?
6
Suppose -4*l = -8*l. Suppose l = z + z - 54. What is the remainder when z is divided by 7?
6
Suppose -6*b + 40 = -b. Let j(m) = -m**2 - 25*m - 112. Calculate the remainder when j(-7) is divided by b.
6
Let f(g) = 3*g - 3. Suppose -c + 4*c = 24. Suppose -t + 1 = r - 6, 49 = 3*t - 4*r. Calculate the remainder when f(c) is divided by t.
10
Suppose 7*y - 933 = -37. Calculate the remainder when y is divided by 22.
18
Suppose -b - 39 = -2*b - 4*h, -5*h = -5*b + 220. What is the remainder when b is divided by 15?
13
Calculate the remainder when 17 is divided by (6/9)/((-2)/(-27)).
8
Let f = 1 - -1. What is the remainder when (-3 - -2)*4 - (7 + -15) is divided by f?
0
Suppose u - k = 4, 18 = 3*u + 2*u - 3*k. Suppose o + 2 = u*f + 10, 0 = 2*o + 5*f - 60. Calculate the remainder when 39 is divided by o.
19
Let q(d) = -2*d + 15. Calculate the remainder when 7 is divided by q(6).
1
Calculate the remainder when 23*(1 - 0/(-5)) is divided by 6.
5
Suppose 2*f + 4*r = 20, 0 = -f - 4*r - r + 22. Suppose -f = -6*i + 4*i. What is the remainder when 0 + 1 - 0/1 is divided by i?
0
Let z = 6 - -18. Suppose -4*l - 4*w + 28 = 4, -4*l + z = -w. What is the remainder when l is divided by ((-4)/2)/(6/(-12))?
2
Let x = -24 + 39. Let t = 33 - -11. Calculate the remainder when t is divided by x.
14
Suppose -g + 6 = 3*f + 16, 0 = 5*g - f - 14. Suppose -d - 21 = -4*d. Calculate the remainder when -1*(g + -16 + 1) is divided by d.
6
Let i = 253 - 26. Calculate the remainder when i is divided by 46.
43
Let i = -16 + 22. Suppose 4*a - i - 6 = 0. Suppose 2*m + a*m - p - 40 = 0, -p = 0. Calculate the remainder when m is divided by 5.
3
Suppose 5*n = -10 + 25. Let d(c) = c**3 - 6*c**2 - 6*c - 7. Let l be d(7). Suppose 2 + l = s. What is the remainder when n is divided by s?
1
Suppose 9*x = 4*x + 5. Let v = 5 + -1. Suppose -v*m + 8 = 4*r + 20, 0 = 5*m + r - 5. Calculate the remainder when m is divided by x.
0
Let z = 10 + 54. Let w = z + -45. Calculate the remainder when w is divided by ((-4)/5)/((-2)/25).
9
Let s(g) = g**2 + 6*g - 9. Let i be s(-7). Let k be (-1)/i + (-181)/(-2). Let y = 144 - k. What is the remainder when y is divided by 18?
17
Let n = -13 + 36. What is the remainder when 160 is divided by n?
22
Suppose -5*a = 4*d - 253, -2*a + 2*d - d = -96. Calculate the remainder when a is divided by 13.
10
Suppose 3*u + 3 = 132. Calculate the remainder when 211 is divided by u.
39
Let a(r) = 2*r + 4*r - r**3 - 2 - r + r**2. Let m be a(3). Let v = -1 - m. What is the remainder when 6 is divided by v?
2
Let h = -12 + -8. Let g = 15 - h. What is the remainder when g is divided by 12?
11
Let v(l) = -76*l**3 + 4*l + 4. Calculate the remainder when v(-1) is divided by 16.
12
Let y(g) be the third derivative of -g**5/60 - 5*g**4/12 + 7*g**3/3 - 3*g**2. Calculate the remainder when y(-10) is divided by 8.
6
Suppose 2*x + 2*x - 44 = 0. Let y = 16 + -1. Let q = -9 + y. Calculate the remainder when x is divided by q.
5
Let a = 17 + 0. Let n be 213/(-12) + (-2)/8. Let g = -12 - n. Calculate the remainder when a is divided by g.
5
Suppose -19 + 3 = -4*a + 3*i, 0 = 4*a + 2*i - 36. Let z = 1 - -11. Calculate the remainder when z is divided by a.
5
Suppose -5*b + 18 = -17. What is the remainder when (1 - 1)/(-2) - -19 is divided by b?
5
Let t(b) = -b**3 + 2*b**2 + b + 24. Calculate the remainder when t(0) is divided by 9.
6
Suppose -4*c + 11 = -5. Let v(y) = -y - 3. What is the remainder when v(-7) is divided by ((-10)/c)/5*-4?
0
Suppose -3*s + b = 5, -5 = 5*s + 2*b + 7. Suppose l + 752 = 5*l. What is the remainder when 25 is divided by s/5 - l/(-20)?
7
Suppose 32 = o - 3*z - 6, -4*z - 68 = -2*o. Suppose -6 = -3*s + 2*a + 15, -5*s - 5*a = -35. What is the remainder when o is divided by s?
5
Calculate the remainder when (-105)/(-140)*8/6 is divided by 1.
0
Let i = 43 - -2. Let p(v) = 5*v + 3. Calculate the remainder when i is divided by p(4).
22
Suppose 4*k = k + 27. Suppose k + 11 = s. Calculate the remainder when 37 is divided by s.
17
Suppose 0*r + 3*r - 116 = 2*w, 5*r = -w + 189. What is the remainder when r is divided by ((-76)/(-12) + -2)*3?
12
Let x(g) = -6*g + 1. Suppose -m - m + 124 = 3*v, -5*v - 5*m = -215. What is the remainder when v is divided by x(-2)?
12
Suppose 0 = -u - 4*i, -i = -3*i - 6. Suppose 3*v - 5 = 4. Suppose -x + 3*y = y - u, -v*x = 5*y - 25. Calculate the remainder when 18 is divided by x.
8
Suppose n = -3*n + 36. What is the remainder when 32 is divided by n?
5
Let i be (2 + -3)*(-1 + -12). Suppose -3 = 2*m - i. Calculate the remainder when 11 is divided by m.
1
Suppose -6*x = -3*x - 135. What is the remainder when x is divided by 16?
13
Suppose 6*z + 24 = 9*z. Calculate the remainder when z is divided by 10*(-1 + (-3)/(-2)).
3
Let s(u) = -7*u - 5. What is the remainder when 87 is divided by s(-5)?
27
Let l(f) = 6*f + 3. Let z(x) = -17*x - 8. Let w(j) = 11*l(j) + 4*z(j). Let o be 6/9 - (-51)/(-9). Calculate the remainder when 32 is divided by w(o).
10
Suppose 87 = 5*k + 4*s, -4*k + 60 = k - 5*s. Calculate the remainder when (-70)/(-3) + (-5)/k is divided by ((-2)/(-2))/((-2)/(-24)).
11
Suppose 5*r - 16 = 4. Suppose r*z = z + 24. Calculate the remainder when 15 is divided by z.
7
Let a(h) = -h + 30. Calculate the remainder when a(-14) is divided by 13.
5
Let o = 1 + 11. Calculate the remainder when 21 + (-3)/((-3)/2) is divided by o.
11
Let z(y) = y**3 + 17. Suppose -5*g - 23 = -183. Calculate the remainder when g is divided by z(0).
15
Suppose 3*c + 0*c = -42. Let v = c + 21. What is the remainder when 11 is divided by v?
4
What is the remainder when 80 is divided by (-14 - -42) + (-1 - 0)?
26
Suppose 3*j - 76 = -j. What is the remainder when 75 is divided by j?
18
Suppose y - 3*y = 0. Suppose 4*v - 50 = -3*o, y = 5*o - 3*v - 58 - 6. Calculate the remainder when o is divided by 4.
2
Let o(a) = -4*a - 16. Let p be o(-13). Suppose -5*r = -59 - p. Suppose n = 2*k, -2*k + 0*k + 30 = 2*n. What is the remainder when r is divided by n?
9
Let t = -15 - -29. Calculate the remainder when 25 is divided by t.
11
Let a be (-98)/(-7) + (0 - 1). Suppose -2*u = -3*m - 5 - a, 2*m - 68 = -4*u. Suppose -2*n = n - 87. Calculate the remainder when n is divided by u.
14
Let j be (0 - -1)*1 + 168. Suppose -2*w + j = w + 4*z, -4*z - 51 = -w. Let b(r) = 27*r**3 + 2*r**2 - r. What is the remainder when w is divided by b(1)?
27
Let s(u) = 11*u**2 + u + 1. What is the remainder when s(3) is divided by 53?
50
Let v be 399/9 - 1/3. Suppose -392 = -2*t - v. Calculate the remainder when (3 + t)*1/3 is divided by 20.
19
Let g = 6 + 65. Calculate the remainder when g is divided by 24.
23
Suppose -n + 0*n = 0, -3*i - n + 6 = 0. Suppose -i*j = 4*r + 86, -5*r - 15 + 245 = -5*j. Let t = j - -64. What is the remainder when t is divided by 7?
5
Suppose -2*q = -19 - 41. Let n = q + -13. Calculate the remainder when 65 is divided by n.
14
Suppose 21 = r + 4*q, 2*r = -3*r - 2*q + 15. Calculate the remainder when 23 is divided by (12 - 13)/(r/(-5)).
3
Let j(a) = a**2 - 3*a - 4. Let f be j(-3). Calculate the remainder when f - (3/1)/(-3) is divided by 8.
7
Let o be ((-21)/15 + 1)*-5. Suppose -5*y + 93 = -o*y. What is the remainder when y is divided by 8?
7
Calculate the remainder when 111 is divided by ((-18)/(-4) + 2/(-4))*4.
15
Suppose -2 = -0*v - v. What is the remainder when ((-2)/4)/(v/(-68)) is divided by 9?
8
Let t(r) = r**2 - 4*r + 7. Let p be t(6). Let v = 27 + p. What is the remainder when v is divided by 24?
22
Let a = 16 - 20. Let g(f) = -f**2 - 5*f + 3. Calculate the remainder when 11 is divided by g(a).
4
Let h be (4 - -4) + (-3 - -1). Calculate 