 8. Calculate the remainder when x(8) is divided by 12.
10
Let y = 504 + -279. Suppose -4*l - 5*l = -y. Calculate the remainder when 249 is divided by l.
24
Calculate the remainder when 1535 is divided by (-7)/(-2) - 2 - 450/(-20).
23
Let q be 14*(-9)/2 - -5. Let k = 52 - q. What is the remainder when k is divided by 23?
18
Suppose -15 = 5*x, -14*y + 11*y = -2*x - 51. Calculate the remainder when 43 is divided by y.
13
Suppose -4*t - 136 = -2*r, 274 = 5*r + 4*t - 38. Let d(h) = 49*h + 523. What is the remainder when r is divided by d(-10)?
31
Let x = 261 + -73. What is the remainder when x is divided by 49?
41
Suppose -282*h - 1054 = -313*h. What is the remainder when 57 is divided by h?
23
Let d = 13 + -90. Let f = -28 - d. Calculate the remainder when f is divided by 26.
23
Let k = -78 + 103. Calculate the remainder when 66 is divided by k.
16
Suppose 76*n - 54*n = 3014. What is the remainder when n is divided by 18?
11
Let v(y) = -y**3 + 6*y**2 + 9*y + 16. What is the remainder when 118 is divided by v(7)?
28
Let h(l) = -l**3 - 3*l**2 + 25*l - 4. Let j be (-168)/(-16)*(-2)/3. What is the remainder when h(j) is divided by 9?
8
Let h(s) be the second derivative of s**4/12 - 11*s**3/6 - s**2 - 4*s. Let w be h(12). Let f = w - -11. Calculate the remainder when f is divided by 12.
9
Let y(t) = 2*t**2 - 11*t - 146. What is the remainder when y(23) is divided by 20?
19
Let k(d) be the second derivative of -5*d**3/6 + d**2 - 2*d. Let h = 242 - 235. What is the remainder when k(-2) is divided by h?
5
Let y(z) = 7*z**3 - 3*z**2 + z + 1. Let m = -21 + 23. What is the remainder when y(m) is divided by (-4)/(-18) + 176/18?
7
Let j be 0 + 1 + 4 + 0. Suppose m = j*l - 2 - 22, 4*l - 3 = -m. What is the remainder when 17 + 3*(-3)/m is divided by 4?
2
Suppose -2*o = f - 34, -f + 3*f - 5*o - 32 = 0. Calculate the remainder when f is divided by 11.
4
Let h be (-4 - 72/(-20))*-245. Let a = -43 + h. What is the remainder when a is divided by 14?
13
Let m = -1508 + 1599. Calculate the remainder when 1546 is divided by m.
90
Let h = 48 - -3. Let z = h - 15. What is the remainder when 70 is divided by z?
34
Suppose -3*b + 2*h + 5 = 0, 21 - 9 = 2*b + 3*h. Calculate the remainder when 180 is divided by b.
0
Suppose h = -4*h + 380. Suppose 6*z - h = 2*z. Calculate the remainder when z is divided by (-129)/(-27) + (-2)/(-9).
4
Let c be 0 - 5/((-5)/(-609)). Let t be -35 - (-4 - (-1 - 3)). What is the remainder when 66 is divided by (-4)/10 + c/t?
15
Let u(z) = -13*z**3 + 10*z**2 + 10*z + 5. What is the remainder when u(-3) is divided by 12?
8
Let c(x) = -2*x**3 - 4*x**2 + 3*x + 15. What is the remainder when c(-4) is divided by 13?
2
Let b(c) = 16*c - 2. Let u(p) = -11*p + 1. Let r(v) = -5*b(v) - 7*u(v). Let f be r(-6). Let q = -15 + f. Calculate the remainder when q is divided by 2.
0
Let l = -28 - -16. Let v be (10/12)/((-2)/l). Suppose -9 = -w + v. Calculate the remainder when w is divided by 4.
2
Let z(f) = -2*f - 30 - 16 + 54 - 2*f**2 + 3*f**2. Calculate the remainder when z(-5) is divided by 16.
11
Suppose -p - a + 62 = 3*p, -52 = -4*p + 4*a. Calculate the remainder when p is divided by (-28)/42*(-6)/1.
3
Let a = -10 + 29. Let x(y) = -2*y**3 + 22*y**2 - y + 22. Calculate the remainder when a is divided by x(11).
8
Let m(h) = -12*h + 171. What is the remainder when 196 is divided by m(8)?
46
Let d(x) = 2*x + 7. Let z = 19 - 17. Suppose z*i - 10 = -5*n, -n + 4*n = -3*i - 3. What is the remainder when d(4) is divided by n?
3
Let s be (-9)/(12/4) + 1. Let l be -2 - (-5 + 0/s). Calculate the remainder when 47 is divided by -4 + (6 - l - -25).
23
Let q be -1*3 - 145/(-5). Let u = q - 11. Let t = 9 + 18. What is the remainder when t is divided by u?
12
Let r = -53 - -155. Suppose 52 = z + z. What is the remainder when r is divided by z?
24
Let f = -25 + 25. Suppose -5*k + 8 = -7. Suppose -54 = -k*j - f*j. What is the remainder when j is divided by 5?
3
Let l(y) = 104*y + 1152. What is the remainder when l(-8) is divided by 46?
44
What is the remainder when (72/16)/(-4 - (-19)/4) is divided by (-8)/(-3) + (-2)/(-6)?
0
Let q(s) = -s**3 + 6*s**2 - s + 5. Let r be q(6). Suppose 24 = 3*b - 81. Calculate the remainder when b is divided by r/1*(0 + -12).
11
Let v = 76 - 48. Let r = 1 + -1. Suppose -2*x = -5*t - x + 53, r = -5*x - 15. What is the remainder when v is divided by t?
8
Let f(v) = 3*v**2 + 11*v - 12. Let z(y) = y**2 + 4*y - 4. Let s(r) = 4*f(r) - 11*z(r). Calculate the remainder when s(5) is divided by 12.
9
Suppose -2*a - 26 = 4*z - 6, -3*a = -z + 9. Let j be -4 - (9/z + -7). Suppose -20 = t - j*t. Calculate the remainder when 7 is divided by t.
3
What is the remainder when ((-9)/(-5))/(6749/(-1700) - -4) is divided by 13?
8
What is the remainder when 10/(-45) + (-3786)/(-27) is divided by 10 - (1*(-3 - 4) + 4)?
10
Let s(o) be the first derivative of o**2/2 + 10*o + 23. Calculate the remainder when 10 is divided by s(-4).
4
Let i(j) = -j**3 + 7*j**2 + 8*j + 15. What is the remainder when 354 is divided by i(7)?
70
What is the remainder when 516 is divided by -4 + (-13)/(-13) + 77?
72
Suppose -3*p - 14 = 4. Let a = 193 + -184. What is the remainder when (-2 - 15/p)*52 is divided by a?
8
Let j(x) = 19*x**2 + 5*x + 1 - 5*x. Let v(t) = -2*t**3 + 13*t**2 - 7*t + 5. Let o be v(6). What is the remainder when 78 is divided by j(o)?
18
Let c = 747 - 717. What is the remainder when c is divided by 16?
14
Suppose 0*t = -3*t - 6. What is the remainder when -1*1/t*62 is divided by 11?
9
What is the remainder when (3 - (-2345)/(-42))/((-1)/6) is divided by 29?
27
Suppose 9*u - 104 = -4*u. What is the remainder when 238 is divided by u?
6
Let v = 182 - 156. What is the remainder when 337 is divided by v?
25
Let m(q) = -q**3 + 18*q**2 + 43*q - 38. What is the remainder when 58 is divided by m(20)?
14
Let i = -42 - 32. Let h = i + 133. Let p = h - 28. Calculate the remainder when p is divided by 8.
7
Suppose 2 - 10 = 5*o + 3*j, -o = -3*j - 2. What is the remainder when 118 is divided by (20/(-6))/(-2*o/(-18))?
28
Let g(y) = -y**3 + 7*y**2 - y - 20. What is the remainder when 11 is divided by g(6)?
1
Let b = 92 - 63. Let l(n) = 3*n**3 + 3*n - 6. What is the remainder when l(3) is divided by b?
26
Let f(j) = -2*j**3 + 6*j**2 + 8*j - 5. Let l be f(6). Let a = 25 + 23. Calculate the remainder when a is divided by (-2)/(-7) + l/(-7).
23
Suppose 10*v + 21 = 13*v. Let k(c) = -c**2 + 16*c - 9. What is the remainder when k(v) is divided by 11?
10
Let a = -98 - -111. What is the remainder when 63 is divided by a?
11
Let y = 46 - 43. Suppose 0 = 3*r - m + y*m - 21, -r + 11 = 2*m. What is the remainder when 14 is divided by r?
4
Let l = 701 - 654. Calculate the remainder when 419 is divided by l.
43
Let h = -4 - -3. Suppose -8*r + 3*r = 0. Calculate the remainder when 10 + (r/2)/h is divided by 4.
2
Let i be 6/(-16) + (-114)/(-48). Let k = 16 - i. Calculate the remainder when 34 is divided by k.
6
Suppose -j = -3*f - 484, -3*f = -3*j + 706 + 770. Calculate the remainder when j is divided by 83.
81
Suppose 11 = -d - 0. Let b = -9 - d. Suppose 106 = 4*m - b*m. What is the remainder when m is divided by 14?
11
Let h(x) = x**3 - 8*x**2 + 17*x - 102. Calculate the remainder when 266 is divided by h(8).
28
Let q(d) = -10*d + 1. What is the remainder when q(-1) is divided by (11/((-22)/4))/(8/(-20))?
1
Let w(f) = -95*f - 55. Calculate the remainder when w(-3) is divided by 141.
89
Suppose 88 - 16 = 3*b. Suppose 639 = -27*c + 36*c. Calculate the remainder when c is divided by b.
23
Suppose 55 + 21 = 4*x. Calculate the remainder when (3 - 3) + 27*12/9 is divided by x.
17
Suppose 6*m - 281 - 235 = 0. What is the remainder when m is divided by 44?
42
Suppose 5*j + 6 = 6*j. Let q = -166 - -170. What is the remainder when 28/3 - j/(-9) is divided by q?
2
Let k = -148 - -214. Calculate the remainder when 393 is divided by k.
63
Suppose -2*m + 3 = -79. Let d(b) = b**3 + 5*b**2 - 7*b - 3. What is the remainder when m is divided by d(2)?
8
Let o = 102 + -112. Let a = 26 - o. Calculate the remainder when 71 is divided by a.
35
Suppose -3*l - 4*x = -5, 3*x + 3 + 16 = l. Let w = -41 + 25. Let k = w + 35. Calculate the remainder when k is divided by l.
5
Let r(m) = -2*m**2 + m + 5. Let y(h) = 2*h - 12. Let c b