**2 - 11*o + 28. What is the remainder when f(u) is divided by 12?
10
Let j = -1823 + 1941. Suppose -3*i + 3*y + 57 = 0, -y + 0*y = 2*i - 32. Calculate the remainder when j is divided by i.
16
Let b = 137 + -112. What is the remainder when 80 is divided by b?
5
Let g = 181 + 65. What is the remainder when (4/1)/(996/g - 4) is divided by 28?
26
Let o(j) = -4*j + 71. What is the remainder when 7 is divided by o(16)?
0
Suppose -2*x = 4*b - 140, -b - 2*x = -0*x - 41. Calculate the remainder when b is divided by ((-16)/8)/(-4)*24/1.
9
Suppose 4*l = 3*g - 1 + 4, 4*l = 5*g + 5. Suppose l = 10*a - 6*a - 108. Calculate the remainder when a is divided by 15.
12
Let k(j) = 11*j - 8. What is the remainder when k(2) is divided by 8?
6
Calculate the remainder when 311 is divided by (-35 + 17)*(-6)/9.
11
Let p = -13 - -15. Let m be (-6)/(0 + p) - -189. Let t = m + -108. Calculate the remainder when t is divided by 20.
18
Suppose 0 = -4*i + 2*k + 24, -5*k = 98*i - 97*i - 6. What is the remainder when 61 is divided by i?
1
Suppose 9152 = 11*p - 12749. Calculate the remainder when p is divided by 12.
11
Suppose v = -4, 5*p + 5*v + 3 = -2. Suppose 63 = -p*c + 10*c. What is the remainder when c is divided by 5?
4
Let v(k) = -k + 11. Let x = -21 - -27. Let q be v(x). What is the remainder when 455/q + -3 + -4 is divided by 29?
26
Suppose 3*p - 4*u - 98 = 56, -2*p - 5*u = -72. Calculate the remainder when 104 is divided by p.
12
Suppose -5*i = -4*k - 11, -2*i - 2*k = -k + 6. Let w = 4 + i. Suppose 2*l - 4*x - 34 = -x, -l + 4*x = -27. Calculate the remainder when l is divided by w.
2
Let f(v) = 4*v**3 - 2*v**2 + v. Suppose 8 = r - 20. Suppose 0*t + r = 4*t. Calculate the remainder when f(2) is divided by t.
5
Let c = -864 - -884. Calculate the remainder when 43 is divided by c.
3
Let u = -34 - -68. Suppose 0 = -5*s - s + 270. Suppose -s = -4*t - t. What is the remainder when u is divided by t?
7
Suppose q - s = 4*q + 3, 2*q = 3*s + 9. Suppose 6*p = -q*p + 474. What is the remainder when p is divided by 41?
38
Suppose 0*f = 5*f - 55. Let n = -8 + f. Suppose -n*q = q - 132. What is the remainder when q is divided by 18?
15
Suppose -8*x + 18*x - 130 = 0. Suppose -5*c + 2*k = 4*k - 181, -3*c - k = -109. Calculate the remainder when c is divided by x.
11
Let f be (-10)/45 + 2/9. Suppose -5*o + f*w = w - 81, o - w = 15. Let a(l) = 9*l - 2. What is the remainder when a(7) is divided by o?
13
Suppose 3*w - 205 = -76. Let n(m) = m**3 + 12*m**2 + 3*m + 7. Calculate the remainder when n(-5) is divided by w.
38
Suppose -171 = -5*x + 2*x. Suppose 11*d = 8*d + x. Calculate the remainder when 34 is divided by d.
15
Let k = 21 - 26. Let g = k + 30. What is the remainder when g is divided by 8?
1
Let v(u) = -2*u - 3. Let j(c) = -c**2 + 7*c - 4. Let g be j(5). Suppose 2*m - g = 4*m. Calculate the remainder when 4 is divided by v(m).
1
Suppose 0 = d - 2*w - 100, -361*d + 4*w - 76 = -362*d. What is the remainder when d is divided by 41?
10
Suppose -6*k = -2*k - 60. Let d(g) = 2*g - 3*g**2 - g - g**3 - 5*g**2 + 7*g**2 + 29. Calculate the remainder when d(0) is divided by k.
14
Suppose -2*m = 3*m. Suppose 5*a = -5*k, m = a - 4*a + 5*k + 24. Calculate the remainder when 8 is divided by (1 + -5)/((-4)/a).
2
Suppose -j = -2, -240 - 404 = -2*r + j. Calculate the remainder when r is divided by 65.
63
Let o = 145 + 116. Let f = o - 88. Calculate the remainder when f is divided by 11.
8
Suppose -33 = -5*q + 4*f, 4*q - 8 = 2*f + 22. Let r(o) = 5*o + 2. Let u be r(-1). Calculate the remainder when 15/5 + 29 - u is divided by q.
8
Suppose 49 = j + 3*j - 5*r, -25 = 5*r. Suppose 2*v - 30 + 8 = 0. What is the remainder when 1*86*j/12 is divided by v?
10
Let h(j) = 4*j - 3. Let u(v) = -v**3 - 7*v**2 - v - 10. Let g be u(-7). Let a be h(g). What is the remainder when 33 is divided by (-10)/a + (-34)/(-3)?
9
Let x be (-6)/(-21) - (-9)/(-7). Let t be (-2)/((-4 - x)/6). Calculate the remainder when (-34)/(-2) - 0/t is divided by 5.
2
Suppose 10*j - 6 = 7*j. Let z be 0/(-1) + 0 + j. Suppose 0*t - 24 = -4*b + 2*t, -2*b = -z*t - 12. What is the remainder when 9 is divided by b?
3
Let u be 4230/24 + 6 + 2/(-8). Suppose 0 = 5*v - 25, -v + 177 = 3*p - u. Let a = 38 - 8. Calculate the remainder when p is divided by a.
28
Let v = 26 - 16. Suppose -u + 0*u + 5*j + v = 0, 4*u = -3*j + 17. Suppose -u*d - 11 = -41. Calculate the remainder when 21 is divided by d.
3
Let c = 784 + -519. Calculate the remainder when c is divided by 14.
13
Suppose 9*x - 11*x - 266 = -5*r, -2*r - 3*x = -95. Calculate the remainder when r is divided by 23.
6
Suppose -4*a + 15*a + 704 = 0. Calculate the remainder when 9/(18/a)*(-10)/8 is divided by 18.
4
Let m = 140 - 120. Calculate the remainder when 379 is divided by m.
19
Let m(x) = -x**2 + 14*x - 12. What is the remainder when 261 is divided by m(5)?
30
Suppose 0 = 10*h - 10038 + 9968. Let g be (-9)/6*(-2)/(-3). Calculate the remainder when (0 + g)/((-2)/50) is divided by h.
4
Let f(q) = 5*q - 1. Calculate the remainder when ((-5)/(-13) + -3)*-13 is divided by f(1).
2
Let m = 15 - 12. Suppose -5*t - m*z = -0*z - 280, -z + 112 = 2*t. Suppose -4*g + t = -0*g. Calculate the remainder when 40 is divided by g.
12
Let k = -31 + 61. Suppose -s - 3 = 4*c, -8*c + 4*c = -5*s - 15. Suppose k = -c*t + 3*t. What is the remainder when t is divided by 4?
2
Let n = 79 + -14. What is the remainder when 123 is divided by n?
58
Suppose 2*g - 434 - 22 = 0. Suppose 2*r + r = g. What is the remainder when 9 is divided by r/18 + 14/(-63)?
1
Let v(r) = -11*r - 74. What is the remainder when v(-22) is divided by 43?
39
Let h(g) = -14*g**2 - 4*g - 12. Let s(f) = -5*f**2 - f - 4. Let a(w) = -6*h(w) + 17*s(w). Let q = 6 - -8. Calculate the remainder when q is divided by a(7).
2
Suppose n + 11 = 5*v, -19 = -3*n - v - 4. Let l(x) = 3*x + 6. What is the remainder when 50 is divided by l(n)?
14
Let x = 142 - 114. What is the remainder when 192 is divided by x?
24
Let h(m) = m**2 + m - 5. Suppose 0 = 3*o - 3*o + 12*o. Suppose 2*b = 2*w + 122, o = -2*b + 5*w + 82 + 46. Calculate the remainder when b is divided by h(4).
14
Let r = 2049 + -1986. Calculate the remainder when 123 is divided by r.
60
Let q be (-1)/(-2)*(-14 - -2). Let r = q + 28. Calculate the remainder when r is divided by 8.
6
Suppose -11*c - 238 = -10*c. What is the remainder when 95 is divided by ((-4)/10)/(c/(-120) + -2)?
23
Let p be 33/27 + 12/(-54). Suppose p = 2*y - 3. Suppose -4*h + m + 64 = 3*m, y*h - 52 = 4*m. Calculate the remainder when 52 is divided by h.
16
Suppose 70 = 3*o + 19. Calculate the remainder when o is divided by 17.
0
Let p be 18/63 + (-26)/(-7). Let f(g) = 52*g**3. Let z be f(1). Suppose -p = -i + z. What is the remainder when i is divided by 29?
27
Let p = 2115 - 2098. What is the remainder when 709 is divided by p?
12
Calculate the remainder when (-2)/(-17) + 3464/(-136)*-4 is divided by 40.
22
What is the remainder when 87 is divided by 5*(532/10)/7?
11
Let l(f) = 12*f**2 - 15*f - 2. What is the remainder when l(4) is divided by 19?
16
Let x(w) be the second derivative of 0 + 0*w**2 + 2*w + 1/6*w**3. Calculate the remainder when x(1) is divided by 1.
0
Suppose 1651*x = 1649*x + 98. What is the remainder when 1910 is divided by x?
48
Let r = -162 + 194. What is the remainder when ((-157)/(-2))/((-4)/(-8)) is divided by r?
29
Suppose 21*x - 342 = 603. What is the remainder when 269 is divided by x?
44
Suppose 0*s - 7*s = -287. Suppose z - 2*i - s = 0, -3*i = 2*z - 0*z - 82. What is the remainder when z is divided by 9?
5
Suppose -3*i + 42 = -21. What is the remainder when i is divided by (-5684)/(-1764) + 2/(-9)?
0
Suppose -4*g + 4*t = -264, 4*g - 9*t + 6*t = 267. Calculate the remainder when g is divided by 26.
17
Suppose 5*c - 20 = -0. Suppose c*t - 23 = i, -5*t + 5*i + 0 + 10 = 0. Let r(a) = -2*a**3 - 4*a**2 - 2*a - 4. Calculate the remainder when r(-3) is divided by t.
6
Suppose 0 = -4*k + 3*b + 4 + 15, -4*b - 16 = 4*k. Let w = k + 8. What is the remainder when 24 is divided by w?
6
Let z = 348 + -133. What is the remainder when z is divided by 73?
69
Suppose 5*r = 4*r + 15. What is the remainder when r is divided by (3/1 - 2)*(5 - -5)?
5
Suppose 4*o - 6*o = -54. Calculate the remainder when 80 is divided by o.
26
Suppos