z + 81 + 16, -4*z = i - 5. Calculate the remainder when i is divided by 6.
3
Let j = 550 + -386. Calculate the remainder when j is divided by 55.
54
What is the remainder when (1 - -1)*226/4 is divided by 29?
26
Let d = 75 + -46. Suppose -h = -11 - 5. Calculate the remainder when d is divided by h.
13
Suppose 225 = 8*y - 3*y. What is the remainder when y is divided by 16?
13
Let r = -27 - -37. Suppose -108 = -4*j + 252. Suppose 5*c + 0*c - j = 0. Calculate the remainder when c is divided by r.
8
Let f(c) = 0*c + 0*c + 25 - c - c. Calculate the remainder when f(0) is divided by 13.
12
Let h be ((-2 - -1) + 0)*0. Suppose -2*o + 4 = -h*o. Suppose o*i + 6 - 24 = b, -3*b = 4*i - 56. Calculate the remainder when 20 is divided by i.
9
Let l = -7 + 17. Suppose -p - 4*x + 14 = -2*p, 0 = 3*x - 15. Calculate the remainder when l is divided by p.
4
Suppose 0*p + 414 = -3*p. What is the remainder when 1/3 + p/(-18) is divided by (-2*10/(-4))/1?
3
Let t(i) = -i + 10. Let p be t(8). Suppose -p*o + 4*o - 86 = 0. What is the remainder when o is divided by 15?
13
Suppose 5 = 2*h - 3. Suppose -h*u - u - k = 65, 5*k = -3*u - 39. Let l = 32 + u. Calculate the remainder when l is divided by 10.
9
Let y(i) = -6*i. Let m(w) = -w + 7. Let j(b) = b. Let t(r) = -2*j(r) - m(r). Let l be t(-5). What is the remainder when y(l) is divided by 7?
5
Suppose 0 = -2*c + 3*m - 55, -148 = 4*c + c + 3*m. Let o = -2 - c. What is the remainder when 50 is divided by o?
23
Let f(t) = 4*t**3 + 3*t**2 - 4*t + 2. What is the remainder when -6*(-2 - (-3)/(-3)) is divided by f(1)?
3
Let z(x) = -10*x - 4. Calculate the remainder when 141 is divided by z(-4).
33
Suppose -27 = y - 5*v, -2*y - 17 = -y - 3*v. Let i = -20 - -31. Calculate the remainder when y/(-8) + (-254)/(-8) is divided by i.
10
Let u(m) = -m**3 + 3*m**2 - 2. Suppose 0 = -4*r - n + 10, -16 = -3*r - n - 4*n. Calculate the remainder when u(r) is divided by 7/63*1*9.
0
Suppose t + 18 = -0*t + 5*j, -2*t - 5*j + 39 = 0. What is the remainder when t is divided by 2?
1
Let z(y) = -2*y + 3. Let b be ((-14)/(-4))/((-3)/6). What is the remainder when z(b) is divided by 10?
7
What is the remainder when (-1)/(-2) - 136/(-16) is divided by 6?
3
Suppose -3*b + 2*z + 3*z = 26, 2*b = -z. Calculate the remainder when 53 is divided by b/(-6)*9*6.
17
Let p be 2/4*-6 + 5. Suppose -3*h = p*o - 72, -5*h - o + 113 = -0*o. Let v = 19 - 11. What is the remainder when h is divided by v?
6
Suppose -3*m = 4*c - 12, 0*m + 4*c = -5*m + 20. Suppose -3*r + m*w = 12 - 68, -3*w = -3. Calculate the remainder when r is divided by 2/(-6) - 22/(-3).
6
Let u(g) = -g**3 - 7*g**2 - 3*g + 8. Let q be (-6 - -2)*21/12. Let c = 39 + -24. What is the remainder when u(q) is divided by c?
14
Let f(y) = -19*y**3 + 4*y**2 + 2*y - 4. What is the remainder when f(-2) is divided by 33?
28
What is the remainder when -2 + 160/(-30)*33/(-4) is divided by 11?
9
Suppose -5*s + 8 = -7. Let k = 7 + s. Suppose -12 - 100 = -4*j. What is the remainder when j is divided by k?
8
Let r = -7 - -20. Let d = 20 - r. Calculate the remainder when 10 is divided by d.
3
Let i(z) = -z**3 - 6*z**2 + 2*z - 8. Let q = 4 - 11. Calculate the remainder when i(q) is divided by 10.
7
Let d(i) = -15*i + 15. What is the remainder when 132 is divided by d(0)?
12
Suppose 0 = -3*m - 2*b + 19, -5*m - 7*b = -3*b - 35. What is the remainder when (-4)/10 - (-42)/5 is divided by m?
2
What is the remainder when 207 is divided by ((-200)/15)/5*-6?
15
Suppose 0 = -u - 4, 2*d - 5*u = 78 + 2. Calculate the remainder when d is divided by 16.
14
Let i(c) = -c - 2. Let a be i(0). Calculate the remainder when 31 is divided by (-81)/(-5) + a/10.
15
Suppose 3*q - 4*d = 13 + 4, -2*d = q - 19. What is the remainder when 43 is divided by q?
10
Let k be 3/7 + 33/21. Suppose 3*b - 31 - 56 = -3*j, 154 = 5*j + k*b. Calculate the remainder when j is divided by 9.
5
Let r = 18 + 2. What is the remainder when r is divided by 6?
2
Let y = -11 - -27. Calculate the remainder when 61 is divided by y.
13
Let n(p) = p**3 - 5*p**2 - 4*p + 1. Calculate the remainder when n(6) is divided by 3.
1
Let y = 51 - 23. What is the remainder when y is divided by 8?
4
Let q(m) = -m**3 + 13*m**2 - 8*m + 4. Let s be q(12). Suppose -d = 3*d - s. What is the remainder when 23 is divided by d?
10
Suppose -b + 2*b = 14. Let c = -4 + -8. Calculate the remainder when ((-53)/(-4))/((-3)/c) is divided by b.
11
Let g = 4 - 1. Let n = 25 + -25. Suppose 2*a = 6 - n. What is the remainder when a is divided by g?
0
Suppose -6 = -u - 0*u. Let p be (15/(-9) - -2)*u. Suppose 0*i = p*i - 56. Calculate the remainder when i is divided by 15.
13
What is the remainder when 15 is divided by 9/6*(7 - 1)?
6
Let s = 18 + -30. Calculate the remainder when 190/(-4)*s/15 is divided by 10.
8
Let k(d) = d**2 - 7*d + 11. What is the remainder when 2 is divided by k(5)?
0
Suppose -4*c - 2*p = -14, -5*c + 0*p = 4*p - 13. Suppose -3*u = -0*u - 36. Calculate the remainder when u is divided by c.
2
What is the remainder when 45 is divided by (6/2 - -13)*(0 - -1)?
13
Let u = -8 - -33. Let a(m) = 2*m**2 - 5*m + 23. Let x(n) = -n**2 + 3*n - 11. Let p(w) = 3*a(w) + 5*x(w). Calculate the remainder when u is divided by p(0).
11
Let r = 20 - 12. Let z(t) = -t**3 - 8*t**2 - 6*t + 1. Let a be z(-6). Let f = a - -58. What is the remainder when f is divided by r?
7
Let g be (-6)/(-2 + 4)*3. Let x = 16 + g. Suppose 0 = -x*j + 3*j + 80. Calculate the remainder when j is divided by 7.
6
Suppose 2*x = -4*a + 74, 5*x + 2*a = -a + 192. Suppose 2*l = s + 7*l, l + 4 = 0. Calculate the remainder when x is divided by s.
19
Suppose 8 = -2*t - 4*w, -3*t + 12 + 16 = -4*w. Suppose -t*m + 12 = -m. Let u = m + 9. Calculate the remainder when u is divided by 7.
6
Suppose 5*b - 62 = 3*r, -22 = -5*b - 3*r + 16. Let l = b - 5. Let o = -4 + l. What is the remainder when 2 is divided by o?
0
Suppose 6*o = 93 + 189. Calculate the remainder when o is divided by 24.
23
Let w(z) be the third derivative of z**4/24 + z**3 + z**2. What is the remainder when 10 is divided by w(0)?
4
Let c(t) be the second derivative of 13*t**3/6 - t**2/2 - 2*t. Calculate the remainder when c(3) is divided by 13.
12
Suppose 2*x = x - 3*r + 4, 12 = -4*x - 5*r. Let n be x/3*36/(-16). Suppose 4*f - n = 10. What is the remainder when f is divided by 2?
0
Let b be (-23)/(-2) + 9/(-6). Suppose x - 3 = b. Let l = 26 - x. What is the remainder when 24 is divided by l?
11
Let m = 22 - 10. Suppose -7*s = -m*s + 70. Calculate the remainder when 67 is divided by s.
11
Let m(s) = 7*s**3 + s - 1. Let z be m(1). Suppose 0 = -2*u + z + 31. What is the remainder when 36 is divided by u?
17
Suppose -2*b + 4*j = -2, b - 1 = -b + 5*j. Suppose r - 3*y + 1 - 3 = 0, b*r = -y + 36. Calculate the remainder when 31 is divided by r.
9
Suppose 4*d + 5 = -15, -4*z - 3*d = -105. Calculate the remainder when z is divided by 17.
13
Let s = -9 + 68. Calculate the remainder when s is divided by 31.
28
Let x = 61 + -35. Let o = -41 - -55. What is the remainder when x is divided by o?
12
Let y(x) = -5*x**3 - 3*x**2 + 2*x + 1. Let o(z) = 14*z**3 + 8*z**2 - 6*z - 2. Let w(p) = 4*o(p) + 11*y(p). What is the remainder when w(3) is divided by 8?
7
What is the remainder when 4/(-18) + (-332)/(-36) is divided by 3?
0
Let g(f) = 21*f**2 + 9*f + 24. What is the remainder when g(-3) is divided by 17?
16
Suppose 4*t - 14 = -5*p, 0 + 5 = 3*p - t. What is the remainder when p*(-2)/8*-18 is divided by 3?
0
Suppose 0 = r - 2*h - 28, 5*r - 19 - 65 = -4*h. Let s(p) = -10*p + 1. Let m be s(-4). Let x = -2 + m. Calculate the remainder when x is divided by r.
19
Let l(q) = -2*q**3 - 20*q**2 - q + 6. Calculate the remainder when 75 is divided by l(-10).
11
Let u(h) = -25*h - 6. What is the remainder when 397 is divided by u(-1)?
17
Suppose 3*j + 3*b + 6 = 0, 5*j = 2*j + 3*b + 18. Suppose -j*v - 3*a + 48 = 0, 5*v + 3*a + 16 - 136 = 0. Calculate the remainder when 47 is divided by v.
23
Suppose 5*i - 13 = 5*s - 108, 4*i - 29 = -3*s. What is the remainder when 58 is divided by s?
13
Suppose o = 13*o - 792. Calculate the remainder when o is divided by 14.
10
Let a(x) = 10*x**2 + 3*x + 1. Let p(w) = 3 + 3 - 11*w - 5. Calculate the remainder when a(-2) is divided by p(-1).
11
Let x = -5 + 7. Let n = 14 + -7.