 by 6.
3
Let l(i) = i**3 + 21*i**2 + i - 8. What is the remainder when l(-20) is divided by 29?
24
Let c = 21 - -19. What is the remainder when 76 is divided by c?
36
Let w = -134 - -246. Let a = -42 + w. What is the remainder when a is divided by 18?
16
Let b(m) = -m**3 + 3*m**2 + 3*m + 4. Let g = -1303 - -1354. What is the remainder when g is divided by b(3)?
12
Suppose -20849 = -22*d + 14879. Calculate the remainder when d is divided by 65.
64
Suppose -60 = 7*d - 39. Let f(m) = 3*m**2 - 6*m - 18. What is the remainder when 134 is divided by f(d)?
26
Suppose -3*q + 0*q - 15 = 0. Let o = -17 - q. Let l(m) = -2*m - 7. Calculate the remainder when l(o) is divided by 5.
2
Suppose 0 = -4*g - 3*m + 7*m + 12, m = 4*g - 12. Suppose -116 = g*a - 5*a. What is the remainder when a is divided by 12?
10
Let h = 9 - 8. What is the remainder when 1 + h*(0 + 78) is divided by 27?
25
Let j = 96 - 92. Suppose -j*a + 86 = 30. What is the remainder when 36 is divided by a?
8
Let s = -32 - -33. Calculate the remainder when -2*s + (-207)/(-3) is divided by 17.
16
Suppose -3*o + 162 = 15*i, 2*i = 2*o - 7*o + 40. Let t = -155 + 511. What is the remainder when (-4)/(-10) - t/(-10) is divided by i?
6
Suppose 2 - 1 = -q + l, 5*q = -4*l + 22. Suppose 15 = -q*d + 115. What is the remainder when d is divided by 17?
16
Let u(t) = -3*t**3 + t**2 + 2*t + 2. Let c = 13 - -5. Suppose n + n = c. What is the remainder when u(-2) is divided by n?
8
Let x = 75 - 43. Suppose 2*o - 2 = -x. Let n(f) = -f - 13. What is the remainder when 6 is divided by n(o)?
0
Let z = -1594 - -2096. Calculate the remainder when z is divided by 8.
6
Let o be (16 - -1) + (-6)/(-3). Suppose -l + 3*h = -o + 2, 0 = 4*l + h - 107. What is the remainder when (-7 - 332/(-3)) + (-4)/6 is divided by l?
25
Suppose 9*m = -2 + 20. Suppose 4*o - 35 = 2*b + 41, m*o - 5*b - 22 = 0. What is the remainder when 125 is divided by o?
20
Suppose -4*v = -4*b - 128, 3*b - 2*v = -0*b - 93. Let w = b - -52. Calculate the remainder when -1 - (-91 + (1 - 1)) is divided by w.
21
Let l be (-3)/15 + 9/(-5). What is the remainder when 20 is divided by 0 - (l + 9)/(2/(-4))?
6
Suppose 2*d = 8 + 2. Suppose 0 = 4*l - d*n + 86, 3*l + 53 = -0*l - 2*n. Let o = l - -41. Calculate the remainder when o is divided by 6.
4
Suppose w = -4 + 1. Let r(n) = n**2 + n + 4. What is the remainder when 28 is divided by r(w)?
8
Suppose -2009 - 4195 = -22*h. Calculate the remainder when h is divided by 58.
50
Suppose b + 138 = 3*b. What is the remainder when b is divided by (-15)/20 - (-118)/8?
13
What is the remainder when 38 is divided by -34 + 60 + (-10)/((-6)/3)?
7
Let t(n) = n**3 - 3*n**2 - 7*n - 7. Let u be t(6). Suppose q + b - u = 0, 2*q - q - 65 = 2*b. Calculate the remainder when q is divided by 13 + 1 + 2*1.
13
Let i(x) = x**2 - 4*x - 30. Let s(o) = 25*o**2 + 2*o + 1. Let v be s(-1). Let b = v + 20. What is the remainder when b is divided by i(9)?
14
Let p = -622 - -695. What is the remainder when p is divided by 48?
25
Suppose 105 = 9*n - 4*n. Suppose -5*d = -10*d - j + n, -2*d = -2*j - 18. Calculate the remainder when 7 is divided by d.
2
Suppose 0 = -8*g - 14*g + 1562. What is the remainder when g is divided by 12?
11
Suppose 2*f - 180 = 2*j, 15*f + 468 = 20*f + j. What is the remainder when f is divided by 24?
21
Let p be (-26 - -15)*(-1)/1. Suppose -7*u - 8 = -p*u. Suppose -4*l = 4*n - 64, -u*n + 72 = 5*l - n. What is the remainder when 37 is divided by l?
9
Let s(b) = -b**2 + 5*b. Let g be s(3). Let x = 92 + -84. Let y = x - g. Calculate the remainder when 6 is divided by y.
0
Let g(n) = -20*n - 10. Let b be g(-18). Calculate the remainder when 110 is divided by b/(-15)*(-12)/10.
26
What is the remainder when 75 is divided by 14 + 2/6*9?
7
Let t be 12 + (-2 - -1)*1. Let q = 24 - t. Suppose 158 = 5*x - 2*w + 45, -4*x - 2*w + 112 = 0. Calculate the remainder when x is divided by q.
12
Let j = 11 - 32. Let i = j - -72. Let o = i - 33. What is the remainder when 34 is divided by o?
16
Suppose 0 = -2*z + 4*x - 9*x - 5, 4*x - 13 = -5*z. Suppose 198 = m + z*m. Calculate the remainder when m is divided by 17.
16
Suppose 2*s + 6 = 2*b, 1 - 16 = -5*b. Suppose 0 = t + u + 10, -4*t + 2*u + s*u - 34 = 0. Calculate the remainder when ((-1)/(-3))/(t/(-27)) is divided by 1.
0
Suppose j + 697 = 4*y, -4*j + 8*j = 4*y - 700. Calculate the remainder when y is divided by 32.
14
Let h(u) = 20*u**2 - 5*u - 3. What is the remainder when h(2) is divided by 23?
21
Let l be 730/6 - (-11)/33. Suppose 5*w - w + l = z, 0 = z - w - 122. What is the remainder when z is divided by 31?
29
Suppose 22 = w - m + 13, -4*w - 3*m + 8 = 0. Calculate the remainder when 59 is divided by w.
4
Suppose -y + 185 = 4*o - 3*o, 3*o - 4*y - 527 = 0. What is the remainder when o is divided by 26?
25
Let f(m) = -4*m - 33. Suppose o = -b + 8, 5*b - o - 24 = 2*o. What is the remainder when f(-15) is divided by b?
3
Let y = 17 - -118. Suppose 7*d - 2*d - y = 0. What is the remainder when d is divided by 20?
7
Suppose -4*f + y + 439 = 0, -496 - 84 = -5*f - 5*y. Calculate the remainder when f is divided by 55.
1
Let n(h) = h**2 + 16*h + 78. What is the remainder when 134 is divided by n(-13)?
17
Suppose -g = -16*l + 18*l - 98, 3*g = -5*l + 246. What is the remainder when 128 is divided by l?
32
Let z = -207 + 216. What is the remainder when 53 is divided by z?
8
Suppose 3*s + 57 = x, 45 = -2*s - 0*s + 3*x. What is the remainder when (-4)/10 + (-636)/(-15) is divided by ((-15)/9)/(2/s)?
12
Suppose 0 = 5*w - 16*w + 3223. What is the remainder when w is divided by 37?
34
Let h(w) be the third derivative of w**5/60 + w**4/8 + w**3/3 - 10*w**2. Calculate the remainder when h(4) is divided by 8.
6
Let v(i) = i**3 + 3*i**2 - 3*i - 3. Let y be v(-3). Let d be (y/9)/(3/(-81)). Let u = -11 - d. What is the remainder when u is divided by 3?
1
Suppose -4*j = -5*h + 7*h - 62, 0 = 4*h - 3*j - 80. Calculate the remainder when 83 is divided by h.
14
Suppose -4*w + 83 = 31. Suppose -49 = -v + 41. What is the remainder when v is divided by w?
12
Let a = 218 - 181. What is the remainder when 50 is divided by a?
13
Suppose -14*d = -13*d - 17. Suppose -13*v + d*v + 116 = 0. Let c = v + 41. What is the remainder when c is divided by 5?
2
Let d be (-4)/(-8) - (-9)/6. Suppose d*f + 40 = -0*f. What is the remainder when (36/15)/((-4)/f) is divided by 7?
5
Let s = 9 - 5. Let z = s - -25. Calculate the remainder when 56 is divided by z.
27
Suppose g + 8*h = 7*h + 19, 0 = 2*g + h - 33. Calculate the remainder when 54 is divided by g.
12
Suppose -7*n = -23 - 54. What is the remainder when 152 is divided by n?
9
Let g(n) = 260*n**3 - 3*n**2 + 3*n - 1. What is the remainder when g(1) is divided by 13?
12
Suppose -3*w = -3, 53 = 4*c - 4*w - 79. What is the remainder when 113 is divided by c?
11
Suppose 2*f = -f. Let t(g) = -2*g**2 + 41*g + 18. Let m be t(18). Suppose -10*c + 6*c + m = f. What is the remainder when c is divided by 15?
12
Let y(l) = 25*l**2 - 3*l + 6. Let v(b) = 8*b**2 - b + 2. Let m(j) = -11*v(j) + 4*y(j). Calculate the remainder when 74 is divided by m(1).
9
What is the remainder when 55 is divided by (-128)/(-12) - 11 - 38/(-6)?
1
Let o(a) = -a**3 - 5*a**2 - a + 14. Calculate the remainder when 135 is divided by o(-4).
1
Let f(w) = -w - 4*w + 5*w**2 - 6*w**2 + 8. Calculate the remainder when 28 is divided by f(0).
4
Let b(d) = -3*d**2 - 32*d - 30. Let x be b(-12). Let h = 83 + x. What is the remainder when 22 is divided by h?
2
Suppose 0 = 4*p - 5*n - 404, p = -3*n - 0*n + 84. What is the remainder when (p/(-10))/((-3)/20) is divided by 22?
20
Let b = 115 + -51. Let u = b + 2. Calculate the remainder when u is divided by 23.
20
Let p(y) = y**3 - 15*y**2 - 8*y - 41. Calculate the remainder when p(16) is divided by 13.
9
Let j(w) = -w**3 + 4*w**2 + 4*w + 17. Let f be j(5). Let i(h) = -2*h**2 + 25*h + 15. What is the remainder when 107 is divided by i(f)?
26
Suppose 5*a - 87 = -32. Let t(b) = 7*b**2 - 17. Let r(c) = 6*c**2 - c - 16. Let w(s) = 4*r(s) - 3*t(s). Calculate the remainder when w(5) is divided by a.
9
Suppose 0 = -3*l - 2 + 44. Suppose 2*w + w = 12. Suppose d + 2*b = b + l, w*d - 2*b = 62. What is the remainder when 27 is divided by d?
12
Suppose 35*t - 214 = -7*g + 36*t, -3*g - 4*t + 74 = 0. W