-2554. Let n(x) = x**2 + 2*x - 2. Let g(j) = j - 1. Let y(s) = -4*g(s) - n(s). Calculate the remainder when y(-6) is divided by k.
0
Suppose 4*u - 65 + 5 = 2*t, 3*u = -t + 45. Let x(z) = z**3 + 10*z**2 + 8*z. Let f be x(-9). Calculate the remainder when (-340)/(-6) - (-3)/f is divided by u.
12
Suppose 19*q - 352 = 11*q. Calculate the remainder when 436 is divided by q.
40
Let z = 55 + -155. Let t = z - -217. What is the remainder when t is divided by 10?
7
Suppose 4*x - 80 = -4*g, -3*x = 5*g - g - 55. Suppose -8*v - 22 = -126. What is the remainder when x is divided by v?
12
Suppose 2*f - 35 = -3*u, 3*f - 60 = -8*u + 5*u. What is the remainder when 48 is divided by f?
23
Suppose -4*r - 14*w = -12*w - 12, 4*r = -3*w + 8. What is the remainder when 123 is divided by r?
3
Let t = 43 + -23. Suppose -n + 2*s = s - t, -n + 12 = s. Calculate the remainder when 60 is divided by n.
12
Let y = -107 + 129. What is the remainder when y is divided by 12?
10
Let j(f) = 2*f. Let n = -14 - -14. Let l be j(n). Suppose 10*u - 13*u + 12 = l. Calculate the remainder when 10 is divided by u.
2
Let d(t) be the second derivative of 0 + t - 7/3*t**3 + 0*t**2. What is the remainder when d(-5) is divided by 18?
16
Let q = -2194 + 2336. What is the remainder when q is divided by 9?
7
Suppose 0 = -2*x - 0*x - 4. Let k(z) = z**2 - 5*z - 5. Suppose 3*u + 29 = 7*f - 3*f, -3*f = 5*u. What is the remainder when k(x) is divided by f?
4
Let s be (4 - -5)/(6/56). What is the remainder when 6852/s - 6/(-14) is divided by 17?
14
Let r(s) = -s**2 + 19*s + 22. Let f be r(20). Suppose 0*i = f*i - 26. What is the remainder when 31 is divided by i?
5
Let h be 2 - (-1)/((-4)/(-36)). Suppose h*x = 8*x + 42. Calculate the remainder when (-2 + -18 - 0)*-2 is divided by x.
12
Let o = 21 + -8. Let q(s) = 3*s**2 - 12*s + 62. Let v(c) = -4*c**2 + 13*c - 63. Let f(u) = -5*q(u) - 4*v(u). Calculate the remainder when o is divided by f(5).
6
Let h = -203 - -213. Calculate the remainder when 37 is divided by h.
7
Let h = 18 + -14. Calculate the remainder when 14 is divided by (-45)/10*h/(-6).
2
Let b = -1064 + 1073. Suppose q = 5*j + 4*q - 90, -15 = -3*q. What is the remainder when j is divided by b?
6
Suppose -r + 205 = 200. Suppose r*s + 0*s - 395 = 0. What is the remainder when s is divided by 10?
9
Suppose 5*x = 3*t + 30, -2*t = -0*t + 10. Suppose -26 = 4*p - x*s - 124, 42 = 2*p + 2*s. Calculate the remainder when p is divided by 6.
5
Suppose -5*p = -195 - 140. Let o = p + -47. Calculate the remainder when o is divided by 3.
2
Let s = -71 - -78. Suppose -4*b + s*b = 18. Suppose -3*p - 84 = -6*p. Calculate the remainder when p is divided by b.
4
Let d(k) = k**2 - 2*k - 3. Suppose 88*b - 87*b = 16. What is the remainder when d(-7) is divided by b?
12
Let u be (-49)/(-17) + 6/51. Suppose 5*l + 22 = -3, -u = 2*y + l. Let z(p) = p + 8. What is the remainder when z(-7) is divided by y?
0
Let j be 6/9*(0 + (-231)/(-2)). Suppose 0 = -11*l + j + 220. What is the remainder when 78 is divided by l?
24
Suppose 3*w - 3 = 3*j, 3*j + w - 19 = -2*j. Suppose -5*m + 33 + 27 = 0. Suppose -j = 3*k - m. Calculate the remainder when k is divided by 1.
0
Let q(p) = 66 + 0*p + 3*p**2 - 30 - 2*p**2 + 5*p. What is the remainder when q(8) is divided by 73?
67
Suppose 2*r = 2*v + 68, 2*r - 5*v = 27 + 35. Let d = 97 + -93. Suppose 0 = -3*s - 0*m + m + 27, d*s + 5*m = r. Calculate the remainder when s is divided by 3.
0
What is the remainder when 10/(-4)*268/(-5) is divided by 1 - -35 - (-18)/(-9)?
32
Suppose 0 = -2*w - 26 + 46. What is the remainder when 25 is divided by w?
5
Let t = 39 - 13. Let n = t - 32. Let s = 27 + n. Calculate the remainder when 41 is divided by s.
20
Suppose 0 = v + 1, 4*v - 38 = -4*h + 246. What is the remainder when 130 is divided by h?
58
Let i(x) be the third derivative of x**5/60 + 5*x**4/12 + 11*x**3/6 - 8*x**2. Calculate the remainder when 54 is divided by i(-10).
10
Suppose 3*g + 32 = 7*g. Let d = g - 1. Let u = 14 - d. What is the remainder when u is divided by 3?
1
Let z(a) = -a**3 + 22*a**2 + 7*a - 127. What is the remainder when 159 is divided by z(22)?
24
Suppose 0 = -3*x + 4*i + 388, 15*x + i + 376 = 18*x. Calculate the remainder when x is divided by 45.
34
Let n be ((-2)/3)/(3*(-2)/(-27)). What is the remainder when 26 is divided by 1 - n/3 - (-7 - -1)?
2
Suppose 10*s - 4*j = 291 + 229, 5*s = -4*j + 260. Calculate the remainder when s is divided by 9.
7
Let h(l) = 13*l - 43. What is the remainder when 327 is divided by h(4)?
3
Calculate the remainder when (-17190)/(-80) + 2/16 is divided by 22.
17
Suppose 0 = -u - 4*d + 32, 5*u + 4*d = 12 + 164. Calculate the remainder when u is divided by (-6)/(-36)*78*1.
10
Suppose -4 - 3 = w + 4*m, 4*w - 26 = 2*m. Suppose -17*c + 5*y = -14*c - 146, 140 = 3*c + y. Calculate the remainder when c is divided by w.
2
Suppose 0*z = -5*z + 95. Let d = -33 - -33. Suppose -2*i + 7*i - 375 = d. Calculate the remainder when i is divided by z.
18
Let f(d) = d**3 - 7*d**2 + 14*d - 2. Let s(p) = -p**2 + 16*p + 33. What is the remainder when f(6) is divided by s(17)?
14
Let x(m) = m**3 - 2*m**2 + 147. Calculate the remainder when x(0) is divided by 39.
30
Let q(n) = -n**2 + 2*n + 1. Let m be q(4). Let u = m + 9. Suppose -60 = -4*b + u*b. Calculate the remainder when b is divided by 16.
14
Let y = 39 + -37. What is the remainder when (9/9)/(y/94) is divided by 12?
11
Suppose 3*k = 4*f + 104, 158 = 4*k - 5*f + 20. Let m = 120 - 58. Calculate the remainder when m is divided by k.
30
Let t(w) = -330*w**3 + 6*w - 6. Let g be t(1). What is the remainder when (6/4)/((-45)/g) is divided by 11?
0
Let m = -40 + 59. What is the remainder when ((-74)/(-4))/((-84)/(-168)) is divided by m?
18
Suppose l + 5*f - 80 = 0, -3*l = -f - 40 - 120. Calculate the remainder when l is divided by 32.
23
What is the remainder when 71 is divided by (-1750)/(-49) - -6 - 2/(-7)?
29
Let d(k) = 22*k**2 - 1. Let g be d(1). Let w = g - 14. Suppose -w*u + 4*u + 6 = 0. Calculate the remainder when 6 is divided by u.
0
Let w(g) = g**2 - 5*g + 3. Let m be w(6). Suppose m*p - 3*p - 216 = 0. Suppose -4*x + p = -32. What is the remainder when 63 is divided by x?
12
Suppose -26*p + 113 + 1213 = 0. What is the remainder when p is divided by 19?
13
Suppose 0 = -141*s + 123*s + 342. Calculate the remainder when 302 is divided by s.
17
Let l(v) = 141*v - 190. Calculate the remainder when l(6) is divided by 73.
72
Let m(y) = y**3 - 7*y**2 + 13*y + 4. Calculate the remainder when 26 is divided by m(3).
5
Let m = -3 + 4. Let n = 11 - 6. What is the remainder when 4 - (-6 + 3)/m is divided by n?
2
Suppose 7*g - 5*g = 8. Suppose c + g*c - 2*q - 131 = 0, -3*c + 78 = -q. What is the remainder when c is divided by 14?
11
Let i(d) = d**3 - 7*d**2 - 10*d + 7. Let q be i(9). Suppose q = o - 8. Calculate the remainder when o is divided by 23.
18
Suppose 0*m - 2*m = 156. Let q = -39 - m. Calculate the remainder when q is divided by 42/35 + -1 - 196/(-20).
9
Suppose 3*u - 53 = 5*s + 61, 0 = -u + s + 38. What is the remainder when 705 is divided by u?
21
Let a(x) = -x + 2. Let s be (-108)/14 + (-5)/((-35)/(-2)). What is the remainder when 58 is divided by a(s)?
8
Suppose 3*i = 16 - 61. Let y = i - -36. Suppose -3*v = -17 - 1. Calculate the remainder when y is divided by v.
3
Let x(l) be the second derivative of 10*l + 1/6*l**3 + 7/12*l**4 + 0*l**2 - 1/20*l**5 + 0. Calculate the remainder when x(6) is divided by 15.
12
Let t(u) = u**3 + 7*u**2 + 8*u + 4. Let p = 2 - 7. Let x = -9220 - -9224. Calculate the remainder when t(p) is divided by x.
2
Let r(s) = -3*s**3 + 16*s**2 + 58*s + 7. Calculate the remainder when 868 is divided by r(-3).
56
Calculate the remainder when 16 is divided by 3 + (51/(-17))/(2/(-2)).
4
Let u(a) = 93*a + 628. What is the remainder when u(0) is divided by 45?
43
Calculate the remainder when (-36153)/(-39)*2/6 is divided by 8.
5
Let m(g) = 12*g**2 + 6. Calculate the remainder when m(3) is divided by 39.
36
Let a be 1/((-4)/8) - -1. Let m be 0 - (-9 - a - -4). Suppose 53 = m*u - 79. Calculate the remainder when u is divided by 9.
6
Let x(c) = -13*c - 1. Suppose 3*u + 2*l = -11, 0*u - 2*u + 4*l - 2 = 0. Let f(i) = -18*i + 368. What is the remainder when x(u) is divided by f(20)?
6
Let b = -219 - -3