ulate the remainder when 8 is divided by r.
3
Suppose a - 27 = -0*a + 2*z, -4*a + 98 = -3*z. What is the remainder when a is divided by 12?
11
Suppose -65 = -m - 4*m. What is the remainder when 37 is divided by m?
11
Let j = 43 - 27. Suppose -d - 14 - 1 = 0. Let h = j - d. What is the remainder when h is divided by 11?
9
Let b = 3 + -3. Suppose 3*s - 7 = m - 52, b = m + 3*s - 69. Calculate the remainder when m is divided by 15.
12
Let r(f) = -f - 3. Let t be r(-7). Suppose -t*p + 16 = -28. Calculate the remainder when (-190)/(-6) - (-1)/3 is divided by p.
10
Let c = 4 + 0. Let j = -1 + c. Suppose 4*x = j*h - 20, 5*h - 34 = -5*x + 46. Calculate the remainder when 23 is divided by h.
11
Let h(p) = p**2 + 9*p + 12. Let d = 70 - -15. What is the remainder when d is divided by h(-10)?
19
Suppose -4*b + 3*l + 3 = 6, 0 = -2*l + 10. Suppose 0 = 4*w - 20, -b*i - 79 = -5*i + 5*w. What is the remainder when i is divided by 18?
16
Let h = 14 + -23. Let u(b) = -2*b - 13. Let p = 22 + -9. Calculate the remainder when p is divided by u(h).
3
Suppose 4*s + 4*y + 16 = 0, -15 = -s - 4*s + 2*y. Suppose -p - 7 = 4*w, -p - 2 + 4 = w. Calculate the remainder when (-6)/(-8) + w/(-12) is divided by s.
0
Let y(j) be the third derivative of 0*j + 1/3*j**4 + 1/120*j**6 + 0 - 1/2*j**3 - 2/15*j**5 - 4*j**2. What is the remainder when 15 is divided by y(7)?
3
Suppose -1 = 3*r + 8. Let f(w) = -3*w + 16. Calculate the remainder when f(-13) is divided by (r + 2)/(2/(-38)).
17
Suppose -4*k - a = k - 22, -2*k - 2*a + 4 = 0. Suppose 3*i + 10 = 5*o, 0*i - k*i - 4 = -2*o. Calculate the remainder when -3 + 20 + (i - 1) is divided by 9.
7
Suppose -15 = -4*v + 3*v. What is the remainder when v is divided by 11 - (-1 + 6/2)?
6
Suppose 0 = 5*m - 0*m - 70. What is the remainder when 27 is divided by m?
13
Suppose -15*f + 895 = -1535. Calculate the remainder when f is divided by 33.
30
Suppose 2*p + 3 = 41. Suppose -3*o + 32 = j, 8*j + 4*o = 3*j + 171. Calculate the remainder when j is divided by p.
16
Calculate the remainder when ((-106)/8)/(7/(-28)) is divided by 27.
26
Let y(n) = n**3 - 8*n**2 + 2*n - 5. Let z be -2 - (-16 - 2/(-1)). Suppose 5*w = 2*w + z. What is the remainder when y(8) is divided by w?
3
Suppose -j + 2 + 3 = 5*m, -23 = -j + 4*m. Suppose 2*v + 2*g = 88, 3*v + 2*g - 68 - 62 = 0. Calculate the remainder when v is divided by j.
12
Let h(w) = w**2 - 2*w - 6. Let u be h(0). What is the remainder when 87/5 - u/(-15) is divided by 10?
7
Let l = 94 - 43. What is the remainder when 150 is divided by l?
48
Suppose -2*y + 25 = -v, -3*v - 25 - 95 = 3*y. Let b = 57 + v. Calculate the remainder when b is divided by 8.
6
Suppose 4*a = a + 90. Calculate the remainder when a is divided by 16.
14
Let q(x) = x**3 + 5*x**2 - 2*x - 6. Let d be q(-5). Suppose -5*l - 2*u = -0*u - 4, -3*l + 4*u = -18. What is the remainder when d*-1*(-4 - -3) is divided by l?
0
Suppose -5*d = 2*w + 81, -6*w = -w + d + 260. Let x = -35 - w. Calculate the remainder when x is divided by 7.
4
Suppose l = 14 - 10. Suppose 0 = 3*c + 5 + 10. Let u = -3 - c. What is the remainder when l is divided by u?
0
Calculate the remainder when 1/6 - (-370)/12 is divided by (-40)/(-15)*12/2.
15
Suppose 0 = -r + 3, -4*r - 96 = -5*l + 47. Let b = l - 14. What is the remainder when 48 is divided by b?
14
Let g = 6 + -6. Suppose -w + g = -6. What is the remainder when 16 is divided by w?
4
Let m(x) = -5*x. Let l be ((-2)/6)/(1/(-3)). Let w be m(l). Let s = 8 + w. Calculate the remainder when s is divided by 2.
1
Let g(t) = 6*t + 3. What is the remainder when 132 is divided by g(4)?
24
Calculate the remainder when 48 is divided by 15/(-5) + (12 - -1).
8
Suppose 15 = 3*x - 12. Let s = -6 - -31. Calculate the remainder when s is divided by x.
7
Suppose -78 = -6*g + 4*g. What is the remainder when g is divided by 11?
6
Suppose -3 = 5*o + 2, 3*o = 3*m - 12. Suppose -55 = -4*p + m*t, 4*t + 13 = -4*p + 89. What is the remainder when p is divided by 9?
7
Suppose -5*m - 19 = -79. Suppose 5*j - t - 287 = 0, 3*j + 0*j + 5*t - 189 = 0. Calculate the remainder when j is divided by m.
10
Suppose 0 = 3*y + 27 + 12. Let w = 23 + y. What is the remainder when 18 is divided by w?
8
Let g be 63/28*8/6. Suppose 33 = -0*u + g*u. Suppose -19 = -4*x + 5. What is the remainder when u is divided by x?
5
Let l = 16 + -9. Let s be (2 - 4)*1 + 2. Suppose s = 3*h + 2*t - 62, 3 = 2*h + 4*t - 41. What is the remainder when h is divided by l?
6
Let u be 28/2 + 0 + 3. Suppose d = -o + u, 2*o + 15 = 3*o + 3*d. Calculate the remainder when 69 is divided by o.
15
Suppose -3*c + 5*r + 6 = 3, -4*c = -4*r - 4. Suppose y - c = 1. Suppose 0 = 2*d - 5*b + y*b - 9, 24 = 3*d - b. What is the remainder when 26 is divided by d?
8
Suppose -w + 2*w = 16. Let o be 3/(-2)*w/(-6). Suppose -g - 15 = -c + g, o*c = -5*g + 47. What is the remainder when 25 is divided by c?
12
Let c = 75 + -56. Calculate the remainder when c is divided by 8.
3
Suppose 2*d = -0*d. Suppose d = 5*q + 2*p - 75, q - 3*p - 32 = -0*p. Calculate the remainder when 31 is divided by q.
14
Let n(p) = 6*p + 5. Suppose g + 2 = 3*g. What is the remainder when n(4) is divided by -1*g/(3/(-30))?
9
Suppose 447 = 11*j - 26. Let i(d) = 8 + 10*d - 3 - 3. What is the remainder when j is divided by i(2)?
21
Suppose 0 = 5*k + 10, -4*a + 2*k = -2*k - 988. Calculate the remainder when (-2)/(-6) + a/21 is divided by 7.
5
Let t = 30 + -20. Suppose 0*a = -2*a + t. Let y = 5 - 2. What is the remainder when a is divided by y?
2
Let g(k) = 7*k**2 + 1. What is the remainder when 15 is divided by g(1)?
7
Suppose -7*h + 45 = -2*h. What is the remainder when 25 is divided by h?
7
Let b(l) = l**3 - 10*l**2 + 2*l - 2. What is the remainder when 68 is divided by b(10)?
14
Suppose -15 = -3*c - 2*c, 5*y - 2*c - 89 = 0. Calculate the remainder when y is divided by 6.
1
Suppose -74 = -3*d - n, 98 = 3*d - 6*n + n. What is the remainder when (3 - 7) + d + 1 is divided by 6?
5
Let z = -8 + 15. Let p = 19 - z. What is the remainder when ((-10)/(-4))/((-1)/(-14)) is divided by p?
11
Let o = 16 + -2. Let k(t) = 9*t - 104. What is the remainder when k(16) is divided by o?
12
Let s(t) = t**2 + 1. Let r be s(-1). Suppose -3*z + 9 = -r*z. Calculate the remainder when 25 is divided by z.
7
Let a(o) = 2*o**2 - 5*o + 6. Calculate the remainder when 16 is divided by a(3).
7
Calculate the remainder when 23 is divided by -4 + 4 + (-2 - -2) + 5.
3
Suppose 11*u - 355 - 195 = 0. What is the remainder when 97 is divided by u?
47
Let z(t) = 10*t**2 - t + 1. Suppose -3*q - 4*u + 11 = 0, 2*q - u - 1 = -q. What is the remainder when z(q) is divided by 6?
4
Let i = -163 + 176. Calculate the remainder when 23 is divided by i.
10
Suppose -3*j - j - 51 = -3*f, -2*j = -2*f + 26. Let o = j + 40. What is the remainder when o is divided by 15?
13
Let k(b) = -b**2 + 7*b + 8. Suppose 0 = 3*d - 0*d. Suppose 2*m + d*m = 14. What is the remainder when 14 is divided by k(m)?
6
Suppose 5*i - 4*i - 25 = 0. Suppose 2*q = 3*q. Suppose 4*w + 2*p - p - 51 = q, 0 = -4*p - 4. What is the remainder when i is divided by w?
12
Let s = 119 + -28. Calculate the remainder when s is divided by 19.
15
Let a = 40 - 12. Calculate the remainder when 223 is divided by a.
27
Let l = -11 - -15. Let i(m) = m**2 - 10*m + 4. Let t be i(4). What is the remainder when l is divided by (16/t)/((-8)/20)?
0
Suppose 0 = -3*i - x + 8, 2*i - 3*i - 3*x + 8 = 0. Calculate the remainder when 2 is divided by i.
0
Suppose -4*s + 21 = -3*o, o = -s - 2*o + 9. What is the remainder when 26 is divided by s?
2
What is the remainder when 82 is divided by 403/26 + 3/2?
14
Let x = -9 - -21. Calculate the remainder when 0 + (-1*23)/(-1) is divided by x.
11
Let u(j) = -j**2 + 19*j + 24. What is the remainder when 91 is divided by u(19)?
19
Suppose -130*s - 200 = -135*s. What is the remainder when 77 is divided by s?
37
What is the remainder when 229 is divided by (7/(-5))/((-5)/75)?
19
Let b = 0 + 19. What is the remainder when b is divided by 11?
8
Let d(o) = o**3 + 5*o**2 - 8*o - 5. Suppose 15*j = 20*j - 15. What is the remainder when d(-6) is divided by j?
1
Let i(s) = -s**2 - 13*s - 21. Let q(b) = -b**3 + 5*b**2 + 7*b - 3. Let y be q(5). Calculate the remainder when (y/6)/(-1)*-3 is divided by i(-3).
7
Let o(p) = -2*p 