. What is the remainder when b is divided by 29?
14
Suppose -50*r + 48*r = -54. Calculate the remainder when 236 is divided by r.
20
Let a = -14 + 21. Let m = 18 - 10. Suppose 0*x - m = -4*x. What is the remainder when a is divided by x?
1
What is the remainder when (0 - -6)/30 - 699/(-5) is divided by 50?
40
Let y = -6 - -7. Suppose -3*r - y - 9 = l, -2*l = 4*r + 14. Let w(k) = -k + 8. What is the remainder when 32 is divided by w(r)?
10
Let q(p) = p**2 + 5*p - 11. Let v be q(-6). Let g(u) = u**3 + 8*u**2 + 10*u + 16. Calculate the remainder when g(v) is divided by 24.
17
Let n = 8 + -13. Suppose 0 = -l + 3*d - 12, 30*d - 26*d - 4 = 0. Let k = n - l. Calculate the remainder when k is divided by 2.
0
Let y be -6 + 16 - 1*2. Suppose y*z = 6*z + 12. Calculate the remainder when z is divided by 2.
0
Let c(q) = 12*q - 10. Let x be c(7). Suppose 4*y - 292 = 2*t - x, 5*y = t + 280. Suppose -y = -5*r + 23. What is the remainder when 47 is divided by r?
15
Suppose -162 = -4*m - 2*m. Calculate the remainder when m is divided by 14.
13
Let h = -412 + 610. What is the remainder when h is divided by 51?
45
Suppose 68*b - 4 - 3464 = 0. What is the remainder when 356 is divided by b?
50
Let l be 1 + (-20)/(-12) + (-3)/(-9). What is the remainder when (136 - l)*(-3 - -4) is divided by 27?
25
Suppose -b = -4*b - 5*a - 207, 2*b + 138 = 5*a. Let j = b - -73. What is the remainder when (0/2)/2 - -16 is divided by j?
0
Suppose -196*u = -192*u - 68. Calculate the remainder when 43 is divided by u.
9
What is the remainder when 62/2 + 3*(-20)/(-15) is divided by 12?
11
Let t = -1425 - -1499. Calculate the remainder when t is divided by 36.
2
Let z(x) = x**2 - 27*x - 217. What is the remainder when z(51) is divided by 145?
137
Suppose 2*o - 93 = 25. Suppose 25*d - 705 = 45. Calculate the remainder when o is divided by d.
29
Let b = -37 - -37. What is the remainder when 39 is divided by b - -10 - 10/(-15)*6?
11
Let y(u) = u**2 - 12*u + 44. What is the remainder when 79 is divided by y(11)?
13
Let a(l) = -2*l**2 + 40*l - 107. What is the remainder when 1109 is divided by a(16)?
17
Let w = 39 + 146. Calculate the remainder when (w/(-10))/(2/(-4)) is divided by 10.
7
Suppose 17*y + 2 = 19*y. Suppose -u - 4*t = -94, y = u - t - 68. Suppose 5*w + 0*w = 95. Calculate the remainder when u is divided by w.
17
Let l(o) = -18*o**2 + 165*o. Calculate the remainder when 101 is divided by l(9).
20
Let p(z) be the second derivative of 1/6*z**4 + 3/2*z**2 + 0 + 4*z - 4/3*z**3. Calculate the remainder when p(7) is divided by 24.
21
Let l be 20/6 - 4/(-6). Suppose -44 = -9*w + 5*w - 5*z, -z = l*w - 44. What is the remainder when 229 is divided by w?
9
Let b(i) = i**2 + 3*i + 7. Suppose -5 = 2*w + 5. What is the remainder when -66*2/(0 - 0 - 2) is divided by b(w)?
15
Let b = 328 + -306. What is the remainder when 878 is divided by b?
20
Let d = 5184 + -4990. Suppose 0*p + 49 = p. What is the remainder when d is divided by p?
47
Let q(o) = 5*o**2 + 4. What is the remainder when q(3) is divided by (39/15)/((-13)/780*-6)?
23
Suppose -m - 4*l + 14 = -11, 5*l + 24 = 3*m. Let d = m - -49. Suppose -3*y + 2*s + 0*s = -d, y - s - 20 = 0. Calculate the remainder when 43 is divided by y.
21
Suppose 0 = -3*q - 4*w + 26, 18*q - 17*q + 5*w = 5. Calculate the remainder when 27 is divided by q.
7
Suppose 46 = 3*z - 2*z. Let t = -21 + z. Calculate the remainder when t is divided by 13.
12
Let x = 2 + 2. Suppose 0 = 5*i + 9*g - 4*g - 25, i + 5*g = 9. Calculate the remainder when i is divided by x.
0
Suppose 0 = -4*f - 5*k + 47, -2*f + 4 = -2*k - 6. Suppose 0*y + 4*b + 151 = 3*y, 0 = -4*y + b + 210. What is the remainder when y is divided by f?
5
Suppose 27 + 45 = 4*x. Let p be (3/9)/(6/x). Calculate the remainder when (4 - p)/(1/15) is divided by 24.
21
Suppose 0 = 2*o + o + 9, o + 193 = 5*i. Suppose 64 = z - i. Let g = z - 58. What is the remainder when g is divided by 23?
21
Let q(w) = -20*w - 25. What is the remainder when q(-5) is divided by 30?
15
Let f(v) = v**3 - 39*v**2 + 41*v - 102. What is the remainder when 45 is divided by f(38)?
9
Suppose 6*b - 1922 - 418 = 0. Calculate the remainder when b is divided by 99.
93
Let s(w) = w + 16. Let l = -2761 - -2935. Calculate the remainder when l is divided by s(0).
14
Let y(q) = -q**3 + 46*q**2 + 149*q - 11. Calculate the remainder when y(49) is divided by 4.
3
Let z(a) = -a - 18. Let b be z(13). Let t = 26 + b. Let f(v) = -v**2 - 8*v - 10. Calculate the remainder when 18 is divided by f(t).
3
Let j(b) = 19*b**2 - 3*b + 1. Calculate the remainder when j(1) is divided by 2.
1
Suppose -7*t - 5*y + 70 = -11*t, -2*t = 4*y + 48. Let m = 28 + t. Let j = 0 - -3. Calculate the remainder when m is divided by j.
2
Let h = -8 - -17. Suppose -h*m + 18 = -11*m. What is the remainder when 62 is divided by (-6)/m - 25/(-3)?
8
Let i(q) = -2*q**3 - 4*q**2 + 4*q - 1. Let h(s) = 3*s**3 + 21*s**2 - 13*s + 101. What is the remainder when i(-4) is divided by h(-8)?
8
Suppose 0*w - 24 = -5*i - 4*w, -w = -4*i + 36. Suppose -5*p + i + 2 = 0. Suppose 4*x - x - 15 = 0. What is the remainder when x is divided by p?
1
Let n(g) = -g - 1. Let c be n(-3). Suppose -c + 17 = 5*t. What is the remainder when 10 is divided by t?
1
Suppose -35*l = -39*l + 2120. Calculate the remainder when l is divided by 19.
17
Suppose -6*y + 54 = 3*y. Let r(q) = -33*q**3 + q**2 + q + 1. What is the remainder when r(-1) is divided by y?
4
Let j(y) = 93*y**3 + 4*y**2 - 4*y + 1. Let h = -70 + 102. Calculate the remainder when j(1) is divided by h.
30
Suppose -26 + 170 = 24*x. What is the remainder when 17 is divided by x?
5
Suppose 4*v = -5*k + 51, 2*k - 3*k = 2*v - 27. Calculate the remainder when 320 is divided by v.
12
Let g = -1 + 71. Let p(o) = o**3 + o + 15. What is the remainder when g is divided by p(0)?
10
Let j(g) = -56*g - 242. What is the remainder when 253 is divided by j(-6)?
65
Let i be 6/(2 - (-2)/(-4)). Suppose -i*s = 5 - 53. Suppose -3*f = -2*x - 93, x = -x + 6. What is the remainder when f is divided by s?
9
Let l(y) = 9*y + 17. Suppose -2*c = -4*v - 7*c + 36, v = -4*c + 20. What is the remainder when l(v) is divided by 18?
17
Let b(f) = -f**2 - 21*f - 35. Let w(t) = t + 11. Let p be w(-24). What is the remainder when b(p) is divided by 18?
15
Suppose 0 = -t + 3, 0*l + 165 = 3*l + 4*t. Let c = l + -35. Calculate the remainder when c is divided by 5.
1
Let x(u) = -u**2 + 29*u - 41. What is the remainder when x(24) is divided by 42?
37
Let k(v) = 31*v**3 - 8*v**2 + v + 6. What is the remainder when k(3) is divided by 381?
12
What is the remainder when 485 is divided by -7 - ((-22 - 2) + -1)?
17
Suppose -48 = -3*l - 2*m, 0 = -17*m + 19*m + 6. What is the remainder when 27 is divided by l?
9
Suppose 0 = -f - 16*u + 23*u + 48, -3*f - 5*u + 222 = 0. Calculate the remainder when f is divided by 27.
15
Let b(y) = -y**2 - 12*y - 15. Calculate the remainder when 58 is divided by b(-10).
3
Let h(n) = -n**3 + 5*n**2 - 2*n - 2. Suppose 4*m = -0*m + 16. Let k be h(m). Let f = 41 + k. Calculate the remainder when f is divided by 24.
23
Let f(r) = -r**3 - 8*r**2 + 31. Calculate the remainder when f(-8) is divided by 9.
4
Suppose 5*f + 4 = -z, 5*z + 0*f = 5*f + 70. Suppose 3 = 3*g - b, 3*b - 13 = -2*g - 0*g. What is the remainder when -3 + g + 20 - -2 is divided by z?
10
Let r(z) = -z + 2 + 0*z - 3 + 0*z. Calculate the remainder when 37 is divided by r(-15).
9
Let v = -6 + 9. Let i be (-30)/(-18) - 3/(-9). What is the remainder when -3 + (i + -3 - -7) is divided by v?
0
Suppose -2 - 2 = -2*v, 94 = -2*w - 2*v. Let c = w + 102. What is the remainder when c is divided by 18?
17
Calculate the remainder when 377 is divided by (-26)/(-3) + 120/(-72).
6
Let j(a) be the first derivative of a**4/4 - a**3 - a**2/2 + 10*a + 1. What is the remainder when 40 is divided by j(3)?
5
Suppose 71*k - 75*k + 4 = 0, -4*k - 2546 = -5*j. Calculate the remainder when j is divided by 130.
120
Suppose 33*u - 965 - 124 = 0. What is the remainder when 179 is divided by u?
14
Let m(k) = k**2 + 12*k + 10. Let t = 16 - 21. Let v be (18/t)/((-9)/(-30)). What is the remainder when m(v) is divided by 4?
2
Suppose 4*c = -3*q + 6, -q + 2*q = -c + 2. Suppose 2*g + q = 12. Suppose 0 = g*d - 11*d + 102. Calculate the remainder when 67 is d