*a. Let v = 5 - q. Calculate the remainder when 32 is divided by v.
10
Let b be 0*(2 + -2 + 1). Suppose 5*z - 4*l + 2*l - 75 = b, 5*z - 60 = -l. Suppose -6*k + 2*k = -28. What is the remainder when z is divided by k?
6
What is the remainder when 10 is divided by (-2)/15 + 1284/180?
3
Let o = 28 + -12. What is the remainder when 61 is divided by o?
13
Let g(n) = n**2 - n + 1. Let q be g(2). Suppose -s - q*t + 16 = 0, -7*t + 4*t = -12. What is the remainder when 7 is divided by s?
3
Suppose 5*f + 2*b = -3*b + 245, 105 = 2*f - 5*b. Let p(c) = -c**2 + 10*c - 8. What is the remainder when f is divided by p(7)?
11
Let b(n) = n**2 + 8. Calculate the remainder when 21 is divided by b(0).
5
Let g(s) = 2*s**3 + 7*s**2 + s + 2. Let y(t) = -t**3 - t**2 - 1. Let f = 11 - 15. Let n(x) = f*y(x) - g(x). What is the remainder when n(3) is divided by 9?
8
Calculate the remainder when -3 - ((-1 - -3) + -62 - -1) is divided by 15.
11
Let w(d) = d**3 - 9*d**2 - 9*d + 11. Let s be w(9). Let l = -48 - s. What is the remainder when 86 is divided by l?
20
Suppose 2*n = 5*n - 240. Suppose 0 = -3*r - 2*r + n. What is the remainder when 30 is divided by r?
14
Let l(t) = -t**3 - t**2 + t + 9. Calculate the remainder when 24 is divided by l(0).
6
Suppose 15 - 83 = -4*s - j, -34 = -2*s - 5*j. Calculate the remainder when 70 is divided by s.
2
Let o(y) = -15*y**3 - 2*y**2 - 2*y - 1. Suppose 3*i - 44 + 8 = 0. Let m = -7 + i. Calculate the remainder when o(-1) is divided by m.
4
Suppose -3*w + 6 = -w, -2*h + 17 = -3*w. Let z(v) be the third derivative of v**4/12 + 4*v**3/3 + 2*v**2. What is the remainder when z(8) is divided by h?
11
Suppose -4*s + 0*z + 168 = -3*z, 3*s - 2*z - 125 = 0. What is the remainder when s is divided by 21?
18
Let t(m) = m - 4. Let z be t(6). Suppose 0*a + f = -z*a + 21, 5*a + 3*f - 53 = 0. Let x(n) = n**2 - 8*n + 6. What is the remainder when x(a) is divided by 14?
12
Let b(n) = n - 2. Let r be b(2). Calculate the remainder when 42 is divided by r + 4/((-4)/(-15)).
12
What is the remainder when (270/40 - 0)*(23 + 1) is divided by 33?
30
What is the remainder when ((-1)/(-3))/((-11)/(-1650)) is divided by 18?
14
Let v = -31 - -43. Calculate the remainder when 56 is divided by v.
8
Suppose 0*j + j - 31 = 0. Let b = -3 - -7. Calculate the remainder when j is divided by b/(-10) + (-57)/(-5).
9
Let u = 1 - 1. Suppose 3*n + 3 - 18 = u. Let q(c) = -c - 3. What is the remainder when n is divided by q(-6)?
2
Let r(v) = 4*v - 13. Calculate the remainder when r(6) is divided by (-12)/(-1)*4/8.
5
Let p = 1 - -1. Calculate the remainder when p/7 + 1832/56 is divided by 12.
9
Let a = -6 + 16. Calculate the remainder when 28 is divided by a.
8
Suppose 0*j - v = -2*j + 12, 2*j - 24 = -2*v. What is the remainder when 30 is divided by j?
6
Let t = -33 + 57. What is the remainder when t is divided by 9?
6
Let l = 75 - 20. What is the remainder when l is divided by 14?
13
Suppose 0 = y - j + 6*j - 27, 4*y + 5*j - 33 = 0. Calculate the remainder when 4 is divided by (-1 - 3)/(-1*y).
0
Let m = -70 - -77. Calculate the remainder when (38/4)/((-1)/(-2)) is divided by m.
5
Suppose 0 = 5*u - 55 - 40. What is the remainder when u is divided by 7?
5
Let o(h) = 3*h**2 - 7*h - 6. Let u be o(-5). Let d = -73 + u. What is the remainder when d is divided by 11?
9
What is the remainder when 70 is divided by 2/((-18)/24 + 1)?
6
Let m(u) = 0 + u - 5 - 3*u. Suppose 4*k - 18 = 7*k. Calculate the remainder when 27 is divided by m(k).
6
Let y = 18 + 2. What is the remainder when 76 is divided by y?
16
Suppose -2*g + 25 = -3*d, 5*g = g + d + 25. What is the remainder when 8 is divided by g?
3
Let o be 1 - (-1 + -7)/2. Suppose m - o - 13 = 5*i, 0 = 5*m - i - 114. Let n = -7 - -15. Calculate the remainder when m is divided by n.
7
Suppose 2*y - 57 = 5*m, 0 = 4*y - y + 5*m - 148. Calculate the remainder when y is divided by -1 + -4*(-33)/6.
20
Let i(q) = 2*q**2 - 21*q + 9. What is the remainder when 178 is divided by i(12)?
43
Let m(r) = -r**2 - 13*r - 16. Let k = -2 + 3. Calculate the remainder when m(-6) is divided by (-2)/(-4)*(29 - k).
12
Let n = 48 + -26. What is the remainder when 41 is divided by n?
19
Suppose -3 = -3*f + 12. Suppose 37 = f*x + 2. Suppose -4*l + l = -39. What is the remainder when l is divided by x?
6
Let i(a) = 5*a**2 + 3*a + 4. What is the remainder when ((-136)/2)/(4 + -6) is divided by i(-2)?
16
Suppose -5*x + 24 + 1 = -4*l, 2*x - 10 = -l. Suppose 2*s = -t + 4*t + 29, 3*s + 4*t - 52 = l. Calculate the remainder when 46 is divided by s.
14
Suppose 20 = 6*i - 40. Suppose 5*n - 15 = i. Calculate the remainder when 6 is divided by n.
1
Suppose -6 = 2*s - 18. Let u(c) be the second derivative of -c**5/20 + 5*c**4/12 + 5*c**3/3 - 7*c**2/2 - c. What is the remainder when u(s) is divided by 6?
5
Let i(a) = 0*a**2 - a**3 - 5*a**2 - 16*a - 14 - a**2 - 5*a**2. Let d be i(-10). Suppose z + d = 3*z. Calculate the remainder when z is divided by 12.
11
Suppose -w + 74 = 12. Suppose 7*d - w = 2*d + i, -d + 25 = 4*i. Calculate the remainder when 50 is divided by d.
11
Suppose -5*x + 65 = 3*c, -c = 4*x + 14 - 45. What is the remainder when 29 is divided by c?
14
Calculate the remainder when 32 is divided by ((-4)/(-6))/((-4)/(-66)).
10
Suppose 210 = 3*v + 3*v. What is the remainder when v is divided by 12?
11
Let a = -2 + 2. Suppose -m + 2*m = a. Suppose m = k + k - 24. What is the remainder when k is divided by 5?
2
Suppose -2*r + 198 = 7*r. Calculate the remainder when 195 is divided by r.
19
Suppose -26 = -5*s + 139. Calculate the remainder when 96 is divided by s.
30
Let b = -92 - -108. What is the remainder when ((-124)/6)/(4/(-6)) is divided by b?
15
Let a(k) = 27*k**3 - k**2 + k - 1. Let q = -1 + 2. Calculate the remainder when a(q) is divided by 14*(-3)/(-6)*4/2.
12
Suppose 4*i - 9*i + 3*m + 24 = 0, -4*m = -2*i + 4. What is the remainder when 61 is divided by i?
1
Suppose -2*b + 102 = b. Let k(v) = -v**2 + 18. Calculate the remainder when b is divided by k(0).
16
Suppose -5*g + 10 = -0*g. Calculate the remainder when g is divided by 2.
0
Let d(s) = -2*s - 21. Calculate the remainder when 9 is divided by d(-12).
0
Let b(k) = 4*k**2. What is the remainder when 48 + 1*3/(-3) is divided by b(-2)?
15
Let s = -2 - -2. Suppose -3*w - 2*x = -3*x - 46, s = -2*w + 2*x + 32. Calculate the remainder when 29 is divided by w.
14
Let o be (4 + 1)*4/10. Suppose -o*h = -x + 56, 268 = 5*x + 4*h + 58. Calculate the remainder when -2 + 2 + x/2 is divided by 8.
7
Let l(w) = 12*w + 1. Suppose -4*b + 12 = -0*b. Let i = 28 + -9. What is the remainder when l(b) is divided by i?
18
Suppose -36 = -2*p - 2*p. Calculate the remainder when 25 is divided by p.
7
Suppose 0 = 29*o - 33*o + 24. Calculate the remainder when 21 is divided by o.
3
Suppose 92 = 3*x - 2*l, l - 3*l + 4 = 0. Let j(h) = h**3 + 3*h**2 + h + 2. Let s be j(-2). Suppose x = 5*n - s*n. What is the remainder when n is divided by 17?
15
Let d = -218 - -342. Suppose -5*c = 20, 2*f - 6*f = -5*c - d. What is the remainder when 49 is divided by f?
23
Let m(a) = 6*a - 2. Suppose 2*y + y - 333 = 4*o, 3*o + 4*y = -231. Calculate the remainder when ((-2)/(-3))/((-3)/o) is divided by m(2).
8
Let m be 0/1 - 3*-2. Let k be m/4*(-68)/(-3). Let j = k - -3. What is the remainder when j is divided by 13?
11
Suppose 5*g + 2*t = 9 + 51, -36 = -3*g + t. Suppose -3 - 31 = -q. What is the remainder when q is divided by g?
10
Suppose 6*r - 147 - 75 = 0. What is the remainder when r is divided by 13?
11
Calculate the remainder when 1 is divided by (-45)/(-35) - (-4)/(-14).
0
Let b be 0 - -8 - 1*-3. Let c(h) = h**3 - 10*h**2 - 4*h + 1. Calculate the remainder when c(b) is divided by 27.
24
Suppose 0 = 3*i - g - 254, -4*i + 510 = 5*g + 146. What is the remainder when i is divided by 22?
20
What is the remainder when 1468/24*1 - (-1)/(-6) is divided by 9?
7
Suppose -5*l + l = -16. Let y(m) = 3*m + 2. Suppose -18 = -3*v - 3. Calculate the remainder when y(l) is divided by v.
4
Let j = -13 - -27. Let c = -14 + 12. Calculate the remainder when j is divided by (-20)/25*(c - 3).
2
Suppose -2*s + 265 + 45 = 3*b, 0 = -s - b + 157. Let g = s + -80. Calculate the remainder when g is divided by 21.
18
Let f(h) = -h**3 + 22*h**2 - 18*h - 42. Let i(v) = -4*v. Let t be i(1