*b. Calculate the remainder when n is divided by 9.
8
Suppose 0 = -3*q - 3*p + 66, 2*p = -5*q + 92 + 6. Calculate the remainder when 71 is divided by q.
17
Let d(m) = -m**3 + 10*m**2 + 5. Let s = 6 - -4. Let t be d(s). Calculate the remainder when 30*(17/t - 3) is divided by 7.
5
Suppose 4*i - 132 = i. Suppose 0 = f + 2*f - 4*l - 61, -2*l - 42 = -2*f. What is the remainder when i is divided by f?
21
Let m = 62 + -26. Calculate the remainder when m is divided by 13.
10
Let u be (-2)/(-7) + (-33)/(-7). Let c = 13 + u. Let p = -15 - -68. What is the remainder when p is divided by c?
17
Let k = 1 + 2. Suppose -k*r - 50 = -5*r. What is the remainder when 47 is divided by r?
22
What is the remainder when 94 is divided by (-2)/(-9) + (-106)/(-9)?
10
Let c = 18 + -1. Let y(s) = -3*s + 6. Suppose -2*b = 3*f + 18, -b = 2*f - f + 9. What is the remainder when y(b) is divided by c?
16
Let i(l) = -l**2 - 6*l + 6. Let g be i(-5). Let w = -10 + g. Calculate the remainder when 2 is divided by w.
0
Suppose -5*r - 6 + 2 = 2*u, -5*r = 4*u - 2. What is the remainder when u is divided by 2?
1
Let z be (-7)/(-3)*(55 + 5). Let u = -79 + z. Calculate the remainder when u is divided by 16.
13
Suppose 0 = -4*o - 8 + 72. Let a(s) = 30*s**3 - s**2 - 3*s + 4. What is the remainder when a(1) is divided by o?
14
Let x(v) = v**2 + 21*v + 44. What is the remainder when 55 is divided by x(-20)?
7
What is the remainder when 3 - 15/3 - -43 is divided by 11?
8
Suppose 240 = 6*t - t. Calculate the remainder when t is divided by 13.
9
Let z(l) be the second derivative of -l**4/12 + 8*l**3/3 - 9*l**2 - 2*l. Let g be -1 + (-6)/(-2) - -11. Calculate the remainder when 60 is divided by z(g).
18
Let f = 19 - 6. Let t = f - 6. Calculate the remainder when t is divided by 3.
1
Let x = -11 + 40. Let p = x + 13. Calculate the remainder when p is divided by 15.
12
Calculate the remainder when 20/(-4)*(-1 - 2) is divided by 184/28 - (-8)/(-14).
3
Suppose -3*x + x - 4 = 0, f = 5*x + 15. Calculate the remainder when 0*(-2)/8 + 14 is divided by f.
4
Let g = 9 + 32. What is the remainder when g is divided by 4/3*21/2?
13
Suppose 16 = -d + 5*d. Let o be 20/3 - d/(-12). Suppose 0 = -b + 5 + o. Calculate the remainder when 47 is divided by b.
11
Suppose a - 3*a = -8. Suppose -4*o - 99 = -5*m, -35 = -m + o - a*o. Calculate the remainder when m is divided by 12.
11
Let k(o) = -15*o - 1. Suppose -x = 3*x + 8. What is the remainder when k(x) is divided by 15?
14
Suppose -32 = -3*i - 95. Let v = 56 + i. Calculate the remainder when v is divided by 12.
11
Let a be (2 - (3 + 2)) + 1. Let c(m) = 7*m**2 + 5*m + 2. Calculate the remainder when c(a) is divided by 7.
6
Let t(x) = -3*x - 3. Let m be t(4). Let j be m/20 + (-1)/4. Calculate the remainder when 38 is divided by (-3 + 3 - j)*13.
12
Calculate the remainder when 11 is divided by -9 + 7 - (-11 + 1).
3
Suppose 5*w - 5 = -n + 4, n - 1 = 3*w. Let m(t) = 35*t - 2. What is the remainder when m(w) is divided by 1/((-16)/17 - -1)?
16
Suppose 16 = 12*l - 10*l. What is the remainder when 118 is divided by l?
6
Suppose 0 = -2*w - 3*w + 10. Suppose 4*h + w = 22. Suppose 2*i = h*i - 21. What is the remainder when i is divided by 2?
1
What is the remainder when 40/(-20)*1/2*-145 is divided by 37?
34
Calculate the remainder when (-48)/(-3) + (7 - 3) is divided by 5.
0
Let b(n) be the first derivative of n**3/3 + 2*n**2 + 5*n - 2. Let k be b(-4). Suppose -4 = -k*x + 4*x. What is the remainder when 6 is divided by x?
2
Suppose 4*f = v + v - 64, 3*f + 3*v + 30 = 0. Let x be 1/2 - f/4. Suppose x*a - 43 = 33. What is the remainder when a is divided by 7?
5
Suppose -h = -5*x - 4*h + 90, -2*h = 4*x - 70. Calculate the remainder when 29 is divided by x.
14
Let y(a) = 4*a**2 - a**3 + 1 + 5*a**2 - 5*a**2. Suppose -4*r = 3*o - 15, 3*r - 1 = 2*o + 6. What is the remainder when 37 is divided by y(r)?
7
Let l = 46 + -33. Let d(i) = -i + 12. Let p be d(5). Suppose -p = -4*z + 13. Calculate the remainder when l is divided by z.
3
Suppose 0 = 6*j - 5*j - 8. What is the remainder when 31 is divided by j?
7
Suppose 2*h + 6 = 4*h. Suppose -h*k - 110 = -4*g, -k + 31 = g - 0*k. Calculate the remainder when g is divided by (1 + 2)/((-9)/(-30)).
9
Suppose -8 = 5*c - 9*c. Suppose -4*n + 32 = 5*k - 3*k, -32 = -c*k + 2*n. What is the remainder when 47 is divided by k?
15
Let n(x) = -2*x - 4. Let g be n(9). Let s(z) = -z**2 - 12*z - 13. Calculate the remainder when (-2628)/(-66) + (-4)/g is divided by s(-9).
12
Suppose 5*g = -2*x + 24, 5*x + 4*g + 4 = 30. Suppose 2 = 3*v - 4. Suppose -x*p = -d - 7, -p + 3*d = v*d - 1. What is the remainder when 11 is divided by p?
5
Suppose -5*z + 2*s = -27, 8 + 14 = 4*z - 2*s. Calculate the remainder when 18 is divided by z.
3
Let b = 19 - 5. What is the remainder when 55 is divided by b?
13
Let d be (1/(-2))/((-3)/36). Suppose 3*h = -2*m - 6, 5*h + 5 = -3*m - d. Let c = -1 - -3. What is the remainder when m is divided by c?
1
Let m(u) = u**2 + 5*u - 10. Let l be (45/(-3 - 0))/(-1). Suppose a + j - 37 = 6*a, 3*j - l = 3*a. Calculate the remainder when m(a) is divided by 8.
6
Suppose 0 = -2*d - 4*u + 6, -2*d + 3*u = -0*d - 20. Let z(s) = 11*s + 2 + 7*s - d*s. Calculate the remainder when z(4) is divided by 16.
14
Let h(w) = 7*w**2 + 2*w - 1. Suppose -4*y = y - 25. Let n = y + -4. What is the remainder when 14 is divided by h(n)?
6
Let u(g) = 53*g - 5. What is the remainder when 141 is divided by u(1)?
45
Let g be 119/14*(-1 - -3). Suppose -3*c + g = -2*o + 4*o, -3*c = 3*o - 27. What is the remainder when 4*(-2 + 27/4) is divided by o?
9
Let t = 35 - -6. Let a(c) = c**3 - 5*c**2 + 5*c + 1. Let y be a(4). Suppose y*g - 110 = -5. What is the remainder when t is divided by g?
20
Let a(h) be the second derivative of h**4/12 + h**3/6 + 11*h**2/2 + 2*h. What is the remainder when a(0) is divided by 3?
2
Suppose 4*h + 2*o - 116 = 0, 2*h + 3*o = -o + 64. Calculate the remainder when 53 is divided by h.
25
Let x = 33 - 17. What is the remainder when x is divided by 6?
4
Let t(z) = z**3 + 5*z**2 + 2. Calculate the remainder when 5 is divided by t(-5).
1
Suppose -27 - 16 = -c. Calculate the remainder when c is divided by 15.
13
Let r = 2 - -1. Suppose 4*k = -5*h + 3*h + 188, 4*h = r*k - 163. What is the remainder when k is divided by 13?
10
Let y = -82 - -216. Calculate the remainder when y is divided by 45.
44
Calculate the remainder when 9 is divided by (-2)/1 + -7 + 12.
0
Suppose 0 = 4*s - 4*a - 180, 3*s + 0*s + 5*a = 175. What is the remainder when 249 is divided by s?
49
Let m = -2 + 1. Let h = -47 - -51. What is the remainder when -22*(2/4)/m is divided by h?
3
Suppose -m + 16 + 5 = 0. Calculate the remainder when 81 is divided by m.
18
Let o(r) = -2*r - 2. Suppose -v - 1 + 4 = 0. Suppose v*m - 18 = -0*m. What is the remainder when o(-9) is divided by m?
4
Let g = 61 - 55. Let s = -35 - -56. Calculate the remainder when s is divided by g.
3
Let r(g) = -g**3 + 6*g**2 - 7*g. Let y be r(5). Let w = 38 + y. What is the remainder when w is divided by 10?
8
Calculate the remainder when 34 is divided by 137/7 + 60/(-105).
15
Suppose -q = q + 4*t - 42, 2*q - 34 = 4*t. What is the remainder when 55 is divided by q?
17
Suppose -5*x = -23 - 37. What is the remainder when 94 is divided by x?
10
Suppose 2*f + 750 = 5*h, 8*h + f - 765 = 3*h. Let j = h - 254. Calculate the remainder when (10/15)/((-4)/j) is divided by 9.
8
Let h(k) be the second derivative of -k**3/6 + 23*k**2/2 - 4*k. What is the remainder when h(0) is divided by 8?
7
Let j(r) = 61*r**3 + r**2 - 1. Let w be 6/4*(-2)/(-3). Let o be j(w). Suppose 4*b - o = -5. What is the remainder when 27 is divided by b?
13
Let s be (-135)/(-8) + 6/48. Let z = -5 + s. Calculate the remainder when 46 is divided by z.
10
Let p(z) = z**2 + 4 + 5*z - 3 - 3*z. Suppose 6*k - 3*k + 4*m = 35, -3*k + 37 = 2*m. Calculate the remainder when p(-6) is divided by k.
12
Let c = 0 - -6. Suppose 0 = -4*w + 5*w - 16. What is the remainder when w is divided by c?
4
Suppose 2*o + u + 188 = -u, 458 = -5*o + u. What is the remainder when 91 is divided by (o/12)/((-2)/6)?
22
Let d = 42 - 23. Calculate the remainder when d is divided by 12.
7
Suppose 3*a + 5*b = 35, -3*b + 31 = 3*a - 2. Let v = -6 + 11. Let r = 11 - v. What is the remainder when a i