6. Let u be k(4). Suppose -6*t + u = 4. What is the remainder when t is divided by 8?
5
Suppose -14*r + 76 + 92 = 0. Calculate the remainder when 68 is divided by r.
8
Let z(g) = g**3 - 7*g**2 + 6*g + 14. Suppose -p - m = -10, m + 2 = -0*p + p. What is the remainder when 26 is divided by z(p)?
12
Calculate the remainder when 129 is divided by (-3133)/(-52) - -7 - (-2)/(-8).
62
Suppose -3*g - 2*g + 4*m = 203, g + 5*m = -29. Let j = -3 - g. What is the remainder when j is divided by 13?
10
What is the remainder when 5244/27 + 7 + (-390)/54 is divided by 41?
30
Let h(l) = -l**2 - 9*l + 32. Suppose 5*r = 12 + 78. What is the remainder when h(-7) is divided by r?
10
Suppose 3*o - 9 = 0, 0 = -2*c - o + 2 + 19. Suppose 2 = -p - 3, 4*p - 46 = -2*u. Calculate the remainder when u is divided by c.
6
Let l(o) = o**2 + 10*o - 13. Suppose -6*r + r = 65. Calculate the remainder when 75 is divided by l(r).
23
Let p(m) = -m**2 - m + 33. Let k be p(-8). Let y = 56 + k. What is the remainder when 64 is divided by y?
31
Suppose 13*n - 144 = 5*n. What is the remainder when 46 is divided by n?
10
Let w(t) = -t - 4 + 0*t**2 - t**3 + 7*t**2 - 2 + 11*t. Let r(s) = s**3 + 5*s**2 - 7*s - 3. Calculate the remainder when w(8) is divided by r(-6).
1
Suppose 3*g - 6 + 21 = 3*u, 2*u - 13 = -g. Calculate the remainder when (-15)/(-18) + 7 + (-275)/(-30) is divided by u.
5
Calculate the remainder when 396 is divided by ((-168)/(-1 - -5))/(28 - 30).
18
Let j(l) = -l**3 - 38*l**2 - 75*l - 84. What is the remainder when 104 is divided by j(-36)?
8
Suppose -4*w + 69 = -3*u + 4*u, 78 = 5*w + 4*u. Suppose c = 43 + 24. Calculate the remainder when c is divided by w.
13
What is the remainder when 30 is divided by (-30)/(-70) - 274/(-14)?
10
Let i = -4 + 47. Suppose c + 3*c = 5*n + 195, c - 45 = 5*n. Suppose -c - 38 = -4*m. Calculate the remainder when i is divided by m.
21
Let r = 658 + -615. What is the remainder when 170 is divided by r?
41
Suppose -3*b + 8 = -4. Suppose -37 - 7 = -4*k. What is the remainder when k is divided by b?
3
Suppose -21*i = -2*d - 20*i + 232, 224 = 2*d + 3*i. Calculate the remainder when 1839 is divided by d.
114
Suppose -x = -k + 333, -25 = -4*x - 21. Calculate the remainder when k is divided by 19.
11
Suppose 8*h = 3*h + 65. Let y = 37 - h. Let b = y + -6. What is the remainder when 71 is divided by b?
17
What is the remainder when 3*(-16)/12 + 21 + 140 is divided by 21?
10
Let y = 11 + -11. Suppose y = -2*x - 2*x + 2*i + 26, 5*x + i = 50. What is the remainder when 15 is divided by x?
6
Suppose 5*t - 365 = -4*s + 101, 3*t - 4*s - 254 = 0. Suppose -96 = -4*z + 2*c, -3*c + 8*c = -4*z + 82. What is the remainder when t is divided by z?
21
Suppose -2*b + 5*g + 478 + 61 = 0, -4*g - 540 = -2*b. Let l = -167 + -23. Let k = l + b. What is the remainder when k is divided by 21?
19
Let m(f) be the first derivative of 3*f**2/2 + 30*f - 6. Calculate the remainder when m(-6) is divided by 8.
4
Let s(f) = 3*f**2 - 1. Let u be s(-1). Suppose -3*q = u*q - 65. Let g = 69 - 20. What is the remainder when g is divided by q?
10
Let t(k) = -k**3 - 7*k**2 - 11*k - 2. Let q be t(-5). Suppose -q*d + 50 = 8. Calculate the remainder when d is divided by 3.
2
Let p be (2 - 0) + (-180)/(-3). Suppose -12*n + 10*n + p = 0. Calculate the remainder when n is divided by 11.
9
Let h = 141 - 97. Calculate the remainder when (-1 - 11)*1305/(-60) is divided by h.
41
Let q = -67 - -105. Suppose -m + 10 = 4*k, -9*m - 4*k + 40 = -5*m. What is the remainder when q is divided by m?
8
Let q(g) = 2*g**2 + 3 + 2 + 2 + 10*g. What is the remainder when q(-6) is divided by 9 + -4 + 5 - 0?
9
Let n = -51 + 92. Calculate the remainder when 119*(-3 - -5)/((-2)/6*-6) is divided by n.
37
Suppose -161*j + 160*j = -15. What is the remainder when 16 is divided by j?
1
What is the remainder when (14/(-21))/(1/(-21)) is divided by (7 - 6/3)*1?
4
Let s be 27/(-18)*(-14)/3. Let g(h) = 3*h**2 + 14. What is the remainder when g(s) is divided by 41?
38
Suppose -2*p - n - n = -54, 100 = 5*p - 2*n. Let f = p + 54. Suppose 0 = -5*q + 3*q + f. What is the remainder when q is divided by 20?
18
Let y(z) = -14*z + 8. Let u be y(13). Let q be (-2 + u)*(-2 + -1). Suppose -o - q = -4*n, n = -0*n + 3*o + 121. What is the remainder when n is divided by 34?
31
Let n(r) = -1. Let p(y) = 28*y + 21. Let u(k) = 5*n(k) + p(k). What is the remainder when u(2) is divided by 37?
35
Let a(j) = 2*j - 5*j + 4*j. Calculate the remainder when a(3) is divided by (-30)/(-40)*(-2 - -6).
0
Let g be ((-21)/(-6))/1*22. Suppose 9*l - g = 2*l. Calculate the remainder when l is divided by 5.
1
Let t = -87 + 126. Calculate the remainder when 816 is divided by t.
36
Suppose -3*y = 5*z - 46, -11*z + 10*z = -2*y - 17. Suppose z*l - 156 = 163. Let g = 4 - -4. What is the remainder when l is divided by g?
5
Suppose -19 = -2*c + 43. Let w = 20 - c. Let j = w + 15. Calculate the remainder when 9 is divided by j.
1
Let k(h) = 6*h**2 - h - 2. Let y be k(-1). Suppose -33 - 37 = -y*t. Calculate the remainder when t is divided by 8.
6
Suppose 40*m - 858 = 18*m. Calculate the remainder when 213 is divided by m.
18
Let y(f) = 2*f + 37. Calculate the remainder when 103 is divided by y(-8).
19
Let t(k) = k**2 - 4*k - 6. Let y(d) = 28*d**2 - 2*d + 3. Let b be y(3). What is the remainder when t(9) is divided by 1/6 - b/(-18)?
11
Let m(q) = 2*q**2. What is the remainder when (-6 - 3/(-1)) + 72 is divided by m(3)?
15
Suppose 5*a + 129 = 4*z - 0*z, 0 = -3*a - 15. Let k = z + -17. Calculate the remainder when (-34 - -9) + 34 + (24 - 0) is divided by k.
6
Let r = 32 - 9. Suppose 19 + r = 2*v. Calculate the remainder when v is divided by 57*(-2)/(-9) + (-8)/12.
9
Suppose -5*v + 11 + 9 = 0. What is the remainder when 31 is divided by (2*(-1)/(-4))/(v/88)?
9
Let s = 193 - 179. What is the remainder when 125 is divided by s?
13
Let u(o) = 12*o**2 + o + 1. Let q be (-1)/(1 + (-8)/12). Calculate the remainder when u(2) is divided by q/21 - 127/(-7).
15
Suppose 0 = 4*s - 7*s + 5*j - 14, 0 = -5*s - 5*j + 30. Let m(g) = 10*g**3 - g**2 - g - 1. Calculate the remainder when m(s) is divided by 4/(-22) - 501/(-33).
13
Let w(f) = -f**3 - 4*f**2 + 2*f + 3. Let o be w(-4). Let h = o - -26. Calculate the remainder when 39 is divided by h.
18
Suppose 4*h + 2*j + 17 = 91, -59 = -4*h - 5*j. What is the remainder when 523 is divided by h?
19
Calculate the remainder when 99 is divided by 1*(-9 - (2 + -66)).
44
Let t be 10 - (0 - (2 - 2)). Suppose -4*u + 101 + 39 = 0. Suppose 0 = x - u + t. Calculate the remainder when x is divided by 7.
4
Suppose -4*f = p - 7*f - 21, 4*p + 3*f - 24 = 0. What is the remainder when -2*(-8 + (2 - 2)) is divided by p?
7
Let a(n) = -n**2 + 13*n - 23. Let p be a(11). Let d = 45 + p. What is the remainder when 84 is divided by d?
40
Suppose x - 6648 = -3*x. What is the remainder when 4/18 - x/(-54) is divided by 11?
9
Calculate the remainder when 255 is divided by 292/10 - 7/35.
23
Suppose c + 261 = 10*c. Let d be 2/(-4) - (-4)/8. Suppose 0 = -d*w + 2*w - 230. What is the remainder when w is divided by c?
28
Let c = 7 - -33. Let x = 43 - 44. Let f(s) = -13*s + 1. Calculate the remainder when c is divided by f(x).
12
Let r(i) = -8*i**2 + 7 + 33*i**3 - 32*i**3 + 3. What is the remainder when r(8) is divided by 3?
1
Let f(z) = -z**3 - 24*z**2 - 101*z + 14. What is the remainder when 206 is divided by f(-5)?
30
Let l(d) = 4*d + 5. Suppose 180 = -6*o + 16*o. What is the remainder when l(7) is divided by o?
15
Let l = 12 + 6. Let o be (10/(-4))/((-9)/l). Suppose -3*v = 2*g + g - 30, 3*v - 30 = -o*g. Calculate the remainder when 19 is divided by v.
9
Suppose 208 = 20*z - 172. What is the remainder when 70 is divided by z?
13
Let p(y) be the second derivative of 59*y**3/6 + y**2/2 - 7*y. Let m be p(1). Let l = -32 + m. What is the remainder when 53 is divided by l?
25
Let w(l) = l**3 - 4*l**2 - 2*l + 20. Calculate the remainder when w(0) is divided by 2.
0
Let j be ((-64)/(-6) - -1) + 20/(-30). Suppose 53 = 6*v + j. What is the remainder when 33 is divided by v?
5
Let g = 97 - 21. Let b = g + -70. Calculate the remainder when 47 is divided by b.
5
Let u(l) = -40*l + 125. What is the remainder when 402 is divided by u(2)?
42
Let h be 9044/98 - 3/((-42)/(-4)). Let o = h - 6