 by 8?
6
Suppose 3*k - 5*u = 119, 3*k = -k + 5*u + 157. What is the remainder when k is divided by 20?
18
Suppose -4*p = -2*p. Suppose p = -2*y + 19 + 1. Suppose 2*n = -3*f + 50, 3*n - 82 = -5*f - n. Calculate the remainder when f is divided by y.
8
What is the remainder when -1*(-2)/2 - (7 + -126) is divided by 41?
38
Suppose 0 = 6*l + 4*l - 100. Calculate the remainder when 28 is divided by l.
8
Let y = 23 - -11. Let z = 38 + -20. What is the remainder when y is divided by z?
16
Suppose -5*i = -i - 3*c, 3*c = -3*i. Suppose i = -5*t + t + 84. Let k(a) = -a**3 - 5*a**2 + 7*a + 13. Calculate the remainder when k(-7) is divided by t.
20
Calculate the remainder when (-4)/((-20)/183) + 12/(-20) is divided by 10.
6
Suppose 6*a - 4*a - 5*c + 295 = 0, 2 = -2*c. Let g = 235 + a. Suppose -4*x - 32 = -r, -r = -6*r + 5*x + g. What is the remainder when 23 is divided by r?
11
Suppose -3*l - 5*b + 22 = 0, -2*b - 17 = -5*l - 1. Suppose -4*s - 3 = g, s + 31 = 5*g + l. Let f = -9 - -18. Calculate the remainder when f is divided by g.
4
Suppose 0 = 2*o - 3*o + 9. What is the remainder when 17 is divided by o?
8
Suppose -3*x = -5*f - 53, 0 = 5*x + 4*f - 0*f - 113. Let c = x + -12. Let n = 11 + 24. What is the remainder when n is divided by c?
8
Suppose 10 = k + 4*k. Suppose 3*u = -k*u + 55. What is the remainder when u is divided by 30/7 + 6/(-21)?
3
Let z(m) = 23*m**2 - 5*m - 3. What is the remainder when z(-3) is divided by 44?
43
Suppose 0 = -a + 4*b - 5 - 1, -4*b = 3*a - 14. Let l(r) = 8*r + 4*r + 6*r - 5*r - 1. What is the remainder when l(a) is divided by 9?
7
Let q = -15 + 48. Calculate the remainder when q is divided by 12.
9
Calculate the remainder when 6/15 + (-294)/(-15) is divided by 7.
6
Let k(t) = -t**3 + 7*t**2 - 3*t + 3. Calculate the remainder when k(6) is divided by 6.
3
Let j(y) be the third derivative of 7*y**6/120 - y**5/15 + y**4/24 + y**3/3 + 3*y**2. What is the remainder when j(2) is divided by 12?
8
Let h(c) = 4*c**2 - 4*c - 6. Let q be h(-4). Suppose 2*f = -j + 12 + 30, -4*f + q = -3*j. What is the remainder when 59 is divided by f?
19
What is the remainder when (3/5)/((-9)/5 + 2) is divided by 2?
1
What is the remainder when 4 + -3 + 1 + 23 is divided by 7?
4
Let t(j) = 13*j + 12. Let h = -28 - -54. What is the remainder when t(7) is divided by h?
25
Suppose -2*n - 3*n = 0. Suppose 5*x = 4*m - 141, 4*m + 0*x = -2*x + 106. Suppose n = -0*f - f + m. Calculate the remainder when f is divided by 10.
9
Let w(x) = x - 6. Let m be w(8). Suppose 4*y = m*y + 36. What is the remainder when y is divided by 10?
8
Let v = -17 - -21. Suppose -2*s + v*n + 59 = s, 4*n = 5*s - 93. What is the remainder when 48 is divided by s?
14
Suppose 5*t - 2*t = 51. Calculate the remainder when 31 is divided by t.
14
Let l = -212 + 135. Let c = -18 - l. What is the remainder when c is divided by 15?
14
Let m be (6 - -2) + 0 + 2. Let t(l) = l**3 - 9*l**2 - 10*l + 14. Calculate the remainder when 53 is divided by t(m).
11
Suppose -38 = -s + 3*k, 0 = -5*s + 4*k - 2 + 170. Let l = s - 17. Let f = -33 - -76. Calculate the remainder when f is divided by l.
13
Suppose 0 = -4*i + 331 - 79. What is the remainder when i is divided by 16?
15
Let x = 32 + -17. Calculate the remainder when 2 + -1 - (5 + -47) is divided by x.
13
Let p = -4 + 8. Suppose w + 4*w = -4*j + 39, -5*j = 3*w - 39. What is the remainder when j is divided by p?
2
Let m be (-1 - -1) + (-2 - 4). Let g be (m/5)/((-4)/10). Suppose 69 = 4*a - 5*c, 0 = a + 3*c + 1 + g. Calculate the remainder when 21 is divided by a.
10
Let o be (-5)/2*16/20. Let t = o + 12. What is the remainder when 29 is divided by t?
9
What is the remainder when (44/8)/(1/6) is divided by 18?
15
Suppose -4*k + 3*t + 2*t = -44, 2*k + t - 22 = 0. Suppose 2*o - 4*v + 46 = 0, -o - 4*v + 8 = 25. Calculate the remainder when 3 + -5 + (1 - o) is divided by k.
9
Let u(m) = -7*m - 5. What is the remainder when 18 is divided by u(-2)?
0
Let k(h) = -2*h - 3. Calculate the remainder when 32 is divided by k(-7).
10
Let v(q) = -q**3 + 5*q**2 + 8*q - 3. Calculate the remainder when v(5) is divided by ((-10)/(-7))/(3/21).
7
Let r(o) be the third derivative of -7*o**4/24 - o**3/6 + o**2. Calculate the remainder when 24 is divided by r(-2).
11
Suppose 8 = -0*x + 2*x. Let v(i) = 2*i**2 - i - 2. Let k be v(x). What is the remainder when k/5*(-15)/(-6) is divided by 7?
6
What is the remainder when (94/(4/(-2)))/(1 + -2) is divided by 16?
15
Suppose -25 = -0*p - 2*p - n, 0 = 5*n - 5. Let w = -5 - -4. Calculate the remainder when (47/(-2))/(w/2) is divided by p.
11
Suppose -3*s = 5*a - 630, 3*a - 3*s - 163 = 239. What is the remainder when a is divided by 33?
30
Calculate the remainder when 7 is divided by 0/(-2) - (3 + -5).
1
Let v = -20 - -50. What is the remainder when 149 is divided by v?
29
Let i = 89 + -75. Calculate the remainder when 67 is divided by i.
11
Calculate the remainder when ((-2)/(-4))/((-7)/(-2198)) is divided by 40.
37
Let r = 31 + 12. Suppose 4*b + 4*p = 40, 5*b - 4*p = -2*p + r. Suppose -4*w + 5*m + 90 = 0, 19 + 23 = 2*w - 4*m. What is the remainder when w is divided by b?
7
Suppose k - 19 = 5*m, -5*k + m = -2 + 3. Let s be (-2 + 0 - k) + 3. Suppose s*n - 14 = 6. What is the remainder when n is divided by 4?
2
Let a(r) = 2*r + 53. Suppose -5*n = -3*o + 145, -5 = -3*n - 2*n. What is the remainder when o is divided by a(-20)?
11
Suppose 0 = -s - 3*j + 12, 0*s - 3*j + 108 = 5*s. What is the remainder when 69 is divided by s?
21
Suppose 2*a - 4*o - 76 = 0, -a + 47 = -o + 11. Let m = -19 + a. What is the remainder when 44 is divided by m?
14
Suppose 4*k + 92 - 244 = 0. Let y = -53 + k. Let l = 32 + y. Calculate the remainder when 32 is divided by l.
15
Let h = -120 - -200. Calculate the remainder when h is divided by 27.
26
Suppose 0*k - 30 = -3*k. Let j = 12 - k. Let n = 2 - 0. Calculate the remainder when j is divided by n.
0
Let r(a) = -9*a - 5. Let k(g) = 5*g**3 + g. Let l be k(1). Suppose -l*f = -f - 70. What is the remainder when r(-5) is divided by f?
12
Let b(n) = -2*n. Let w be b(2). Calculate the remainder when 10 is divided by 1/(1 - (-3)/w).
2
Let l = -13 - -19. Suppose -g + 3 + l = 0. What is the remainder when 1/(-4) - 105/(-4) is divided by g?
8
Let m = 1 + -1. Suppose o - 2 = -2*t - 0*o, 2*t - 2*o - 14 = m. Suppose -t*b = -9, 66 = 5*l + 5*b + 1. What is the remainder when 38 is divided by l?
8
Suppose 2*c + 3*k - 75 = 0, -5*k + k + 45 = c. What is the remainder when c is divided by 2/10 + 220/25?
6
Suppose y - 3*y = -166. Let h = -48 + y. What is the remainder when h is divided by 12?
11
Calculate the remainder when 24 is divided by (-4)/(-12) + 28/6.
4
Suppose 0 = 5*k - k - 16. Suppose k*v - 47 - 21 = 0. Calculate the remainder when 33 is divided by v.
16
Suppose 4*j + 3*a - 39 = 0, 2*a + 9 = j + 2. Let x = 8 + j. What is the remainder when 66 is divided by x?
15
What is the remainder when 45 + (-16)/(-4) + -4 is divided by 24?
21
Let p = 160 + -153. Calculate the remainder when 48 is divided by p.
6
Suppose 5*m + 40 = c + 4*c, c - 11 = 2*m. Suppose 4*t - 56 = -2*z, -4*z + c = -3*t + 36. Calculate the remainder when 12/9*57/2 is divided by t.
12
Suppose 3*c + 60 = -2*c. Let v = c - -19. Suppose -18 = -2*n + 20. What is the remainder when n is divided by v?
5
Let o(v) = -v + 13. Let d be o(6). Suppose 7 + 43 = 5*y. Let x = y - d. Calculate the remainder when 4 is divided by x.
1
What is the remainder when 58 is divided by (-4)/3*((-675)/(-10))/(-9)?
8
Suppose 2*h - 5*p = 13, h + 2*p = -2*h + 48. Calculate the remainder when 1 + 2/8 + (-1133)/(-44) is divided by h.
13
Let s(w) = 5*w**2 + 9*w - 31. What is the remainder when s(6) is divided by 34?
33
Let s be (9 + -1)*(-3)/(-6). Suppose 0 = -b - s + 15. Calculate the remainder when b is divided by (12/(-15))/(2/(-10)).
3
Let i = 12 + 3. Suppose 28 = i*u - 13*u. What is the remainder when 81 is divided by u?
11
Let i(u) = -2*u. Let f(q) = q**3 + 2*q**2 - q + 4. Let c be f(-3). Calculate the remainder when 1 - -5 - 2/(-2) is divided by i(c).
3
Let n(p) = p**3 - 12*p**2 - 11*p - 3. What is the remainder when 68 is divided by n(13)?
22
Let x(h) = -h**3 + 8*h**2 - 4*h - 2. What is the remainder when 122 is divided by x(3)?
29
Let q = 24 - 25. What is the remainder when 51 is divid