t is the remainder when (-6 - -3)*(-38 - -1) is divided by k(14)?
27
Suppose -3*w - 181 = -4*c, -c + 3*w = -0*w - 34. Let j = -29 + 46. What is the remainder when c is divided by j?
15
Suppose -14*p - 35 = -91. What is the remainder when p is divided by 4?
0
Let x = -141 + 244. What is the remainder when x is divided by 52?
51
Let t(o) = o**3 + 2*o - 4. What is the remainder when 45 is divided by t(2)?
5
Suppose 3*l + 425 = 4*i - 79, 5*i - 635 = 5*l. What is the remainder when i is divided by 40?
3
Suppose -4*h = -9*h - 3*i + 67, -5*h = -5*i - 35. Suppose 17 = 4*o - h. Let s = -16 + 26. Calculate the remainder when s is divided by o.
3
Let y be (-49)/(-14) - 2/4. What is the remainder when (y - (-78)/(-9))*-3 is divided by (-10)/(1 - (5 - 3))?
7
Suppose 2*i = -6 + 20. Let v(t) = -t**3 - 3*t**2 - 10*t - 10. What is the remainder when v(-3) is divided by i?
6
Suppose -l = 3*v - 80, 4*l = 11*v - 9*v - 58. Calculate the remainder when v is divided by 9.
0
Let x(y) = -35*y + 3. Let v be x(-4). Suppose -3*p - 2*b + v = 0, 2*b + 106 = 2*p - 2*b. Calculate the remainder when p is divided by 10.
9
Suppose 199 = 5*t + 19. Let p = -21 + t. What is the remainder when 24 is divided by p?
9
Suppose -48*u - 1645 = -53*u. What is the remainder when u is divided by 39?
17
Suppose 2*u + 90 - 2088 = -5*g, u - 1596 = -4*g. Calculate the remainder when g is divided by 50.
48
What is the remainder when 29 is divided by 140/168 - (-97)/6?
12
Suppose -52*l + 2392 = -676. Calculate the remainder when 173 is divided by l.
55
Suppose -6*m + 16 = 4. Suppose -6 = -2*b, 3*i + b = -m*b - 33. Let s = i - -19. Calculate the remainder when 17 is divided by s.
2
Suppose -o = -2*o + 4*v + 57, 3*v - 114 = -2*o. Suppose -2*c + 6 - 2 = 0. Suppose l - 45 = -c*l. Calculate the remainder when o is divided by l.
12
Let m be (-2)/(-1)*(-12)/2. Let h be 49 - m/9*-3. Suppose w - h + 7 = 0. What is the remainder when 75 is divided by w?
37
Suppose -3*d + 72 = -w, 6*d - 121 = d + 2*w. What is the remainder when 41 is divided by d?
18
Let g(n) = 31*n**2 + n - 43. Calculate the remainder when g(11) is divided by 40.
39
Let d(r) be the second derivative of r**4/6 - 4*r**3/3 + 4*r**2 + 4*r. Let v be d(4). What is the remainder when 64 is divided by (v/(-4))/4*-44?
20
Let k(g) = 2*g**3 - 40*g**2 - 104*g + 14. Calculate the remainder when k(23) is divided by 14.
12
Calculate the remainder when (311/(-7))/((-117)/819) is divided by 29.
21
Let v(s) = -s**3 - 13*s**2 - 26*s - 11. Let r be v(-10). Let g = r - -181. Calculate the remainder when g is divided by 27.
22
Let o = -224 + 232. What is the remainder when 84 is divided by o?
4
Let b(q) = 85*q + 13. What is the remainder when b(2) is divided by 27?
21
Let p = 523 + -391. Calculate the remainder when p is divided by 20.
12
Let a(q) = 46*q**2 - q + 1. Suppose 2*v - 13 = -5*n + 3*v, -4*n - 1 = 3*v. Suppose 8*x = -n*x + 250. What is the remainder when a(1) is divided by x?
21
Suppose 3*w - 48 = 5*w. Let r = -19 - w. What is the remainder when 13 is divided by r?
3
Suppose 175*z = 172*z - 5*h + 324, -2*z + 5*h = -216. Calculate the remainder when z is divided by 45.
18
Suppose 4*l = -3*c - c + 52, -5*c + 5*l = -75. Let y = 25 + -9. Suppose y = 5*p - 4. Calculate the remainder when c is divided by p.
2
Suppose -6*h + 3*t = -3*h - 267, -2*h + 206 = 5*t. Calculate the remainder when h is divided by 12.
9
Let m(t) = 137*t**2 + t. Let l be m(-1). Suppose -f + 3*f = l. Calculate the remainder when f is divided by (-23)/(-10)*-2*(4 - 9).
22
Suppose -12 = -2*k - 2. Let i(q) = 13 + k + q + 0*q. Calculate the remainder when i(14) is divided by 11.
10
Suppose 2*q - 14 - 6 = 0. What is the remainder when 58*((-30)/(-12) - 2) is divided by q?
9
Calculate the remainder when 61 is divided by (-36)/(-5) - (-12)/15.
5
Suppose 0 = 5*c - 9 - 21. Suppose c*r = 7*r. What is the remainder when 49 - (0 + (r - 1)) is divided by 17?
16
Let j(g) = -g**2 + 8*g - 7. Let a be j(9). Let c = a + 30. Suppose -c = -5*v + 131. Calculate the remainder when v is divided by 15.
14
Let u(a) = 4*a - 1. Let g be u(-4). Let o = -4 - g. What is the remainder when o is divided by 7?
6
Let d(r) = -51*r - 4. Let s(b) = 3*b - 7. Let q be s(4). Let u(y) = 52*y + 3. Let x(n) = q*u(n) + 4*d(n). Calculate the remainder when x(1) is divided by 14.
13
Let q(l) = 5*l - 5. Suppose 7*a + 39 = -3. What is the remainder when q(6) is divided by ((-4)/a)/((-4)/(-78))?
12
Let f(g) = g**3 + 15*g**2 + 23*g + 2. What is the remainder when 162 is divided by f(-13)?
39
Calculate the remainder when (2/(-3))/(-1 + (-278)/(-282)) is divided by 7.
5
Let b = 24 - -21. What is the remainder when b is divided by 26?
19
Let b(g) = 5*g**2 + 44*g - 13. Suppose 5*w + 11 = -44. Calculate the remainder when b(w) is divided by 28.
24
Let d = -44 + 44. Suppose -3*x + d*x - 4*i = -51, -5*i = -3*x + 78. Calculate the remainder when x is divided by 1/(-3) - (-25)/3.
5
Let w(k) = k**3 - 9*k**2 - 19*k - 1. Calculate the remainder when 92 is divided by w(11).
28
Suppose 18*t = -2 + 20. Let z = 1 + t. What is the remainder when 6 is divided by z?
0
Suppose -6*v - 7 = -97. What is the remainder when 25 is divided by v?
10
What is the remainder when 131 is divided by ((-68)/6)/(28/(-84))?
29
Suppose k - 22 = -c, 8 - 57 = -2*k - 3*c. Suppose 0 = 5*o + 2 - k. Suppose -4 = -0*y - 4*y - 3*f, y - o*f = 16. What is the remainder when 4 is divided by y?
0
Let a = -24 - -48. Suppose 4*k - 5 = -k, 2*k = q - a. Calculate the remainder when 77 is divided by q.
25
Suppose 5*h + q = 455, -2*h + 205 = 10*q - 5*q. Calculate the remainder when h is divided by 39.
12
Suppose -5*g = -4*d + d + 11, 0 = -2*g - 4*d + 6. Let t(s) = s**2 - 2. What is the remainder when (19 - 0/(-1)) + (g - -2) is divided by t(-3)?
6
Let c(s) = 23*s - 467. What is the remainder when 685 is divided by c(21)?
13
Let s = 69 - 66. Let v(u) = -u**3 + 11*u**2 - 9*u - 5. Let i be v(7). Suppose -s*y + i = -y. Calculate the remainder when y is divided by 22.
20
Let p = 1141 + -901. Calculate the remainder when p is divided by 61.
57
Calculate the remainder when (-9)/((-18)/(-8)) - -143 is divided by 49.
41
Let m be ((-6)/10)/((-2)/(-10)). Let z = 16 + m. What is the remainder when 62 is divided by z?
10
Let j(o) = -2*o**3 - 2*o**3 + 3 + o - 2*o**2 + 3*o. Let k = -27 + 24. What is the remainder when j(k) is divided by 21?
18
Let f(q) = -11*q - 45. What is the remainder when 334 is divided by f(-6)?
19
Suppose -9 + 33 = 12*j. Suppose 2*x + 5*k - 39 = 0, -3*x = -4*x + k + j. What is the remainder when 17 is divided by x?
3
Suppose 5*y = 98 + 17. Calculate the remainder when 66 is divided by y.
20
Let z be (-1)/(3 - 7/2). Suppose 0 = 2*h + 2*h, -b = -z*h - 3. What is the remainder when (-2)/6*24/(-2) is divided by b?
1
Suppose -3*t + 0*w + w = -107, 4*w = t - 32. What is the remainder when 165 is divided by t?
21
Suppose -p + 19 = -q, 5*p - 96 + 1 = 4*q. What is the remainder when 94 is divided by p?
18
Let x be ((-12)/(-7) + -2)/(5/(-35)). Suppose 2*q - 2 = 0, -x*v + 13 = -q - 12. What is the remainder when ((-50)/6)/(1/(-6)) is divided by v?
11
Suppose 0 = f + 5*c, -11 = 5*f + c - 107. Calculate the remainder when f is divided by 6.
2
Let p = 9 + -4. Suppose 0 = r + 4*r + s - 1036, -p*r + 2*s = -1048. Let n = r - 101. What is the remainder when n is divided by 22?
19
Suppose 4*l - 3*l = 51. Calculate the remainder when 149 is divided by l.
47
Let q(j) = j**2 - j + 20. Calculate the remainder when 217 is divided by q(4).
25
Let a(s) be the second derivative of -s**5/20 - 11*s**4/12 + 11*s**3/6 - 11*s**2/2 + 12*s. Calculate the remainder when 3 is divided by a(-12).
0
Let a = 33 - 18. Suppose h + 18 = 2*w + 7, 5*h + a = 0. What is the remainder when 37 + w/(-4) + 5 is divided by 11?
8
Let h(v) = v**3 - 14*v**2 + 12*v + 9. Let u be h(13). Suppose 0 = -n + i + 15, 4*i - i + 5 = -n. Let d = u + n. What is the remainder when 15 is divided by d?
3
Suppose -h = -4*l + 260, h = -0*l - 2*l + 130. Calculate the remainder when 125 is divided by l.
60
Let g(p) = p**2 + 13*p - 63. Let t = 56 + -30. What is the remainder when g(-19) is divided by t?
25
Suppose 2*g = 101 - 103. Calculate the remainder when 23 is divided by (g - 12)*3/(-9)*3.
10
Let w = -5 - -12. Let c be (3/5)/(75/875). Calculate t