 by p.
0
Calculate the remainder when 101 is divided by 16/(-20) + 483/35.
10
Calculate the remainder when 2/1 - (5 - 24) is divided by 12.
9
Suppose 5*z + 2*a - 59 - 1 = 0, 0 = 2*z - a - 15. Calculate the remainder when 38 is divided by z.
8
Suppose l - 27 = -c - 4*c, 18 = 2*c + 4*l. Let g = c + 11. Calculate the remainder when g is divided by 9.
7
Let k = 10 - 1. Calculate the remainder when 17 is divided by 48/k + (-8)/(-12).
5
Suppose -3 = 2*j - 17. What is the remainder when 18 is divided by j?
4
Let t(w) = 17*w**2 - 2*w + 1. Suppose 0 = 5*b - 3*p - 46 - 198, 0 = 3*b - 3*p - 150. Calculate the remainder when b is divided by t(1).
15
Let t(o) = -o**3 - 6*o**2 - 8*o - 5. Calculate the remainder when t(-5) is divided by 6/(-9) - 14/(-3).
2
Suppose 2*s + 16 = -5*n, -4*n - 26 = -2*s - 3*s. Suppose s*c - 12 = -2*c. Let y = c + 2. Calculate the remainder when y is divided by 4.
1
Let x(y) = 7*y + 2. Let m(w) be the first derivative of w**4/4 + 2*w**3 - w**2/2 + 6*w - 1. What is the remainder when x(3) is divided by m(-6)?
11
Let f(m) = -5*m - 3. Let u be f(-2). Let j = 34 + u. Suppose 2*s = 5*b + s - 75, 2*b + 2*s = 18. What is the remainder when j is divided by b?
13
Let j = -1 - -4. Let c(k) = -k**3 + 4*k**2 + k - 4. What is the remainder when c(3) is divided by j?
2
Let h = -8 + 245. Let s = h + -147. Suppose 3*i = -2*i + s. Calculate the remainder when 52 is divided by i.
16
Let g = -17 + 99. What is the remainder when g is divided by 14?
12
Let d(j) = 4*j + 1. Suppose 4*x - 5*o + 3*o = 24, -15 = -x + 5*o. Calculate the remainder when d(x) is divided by 12.
9
Let k = 40 - 26. Let u = 134 + -130. Calculate the remainder when k is divided by u.
2
Let p be ((-18)/4)/(8/(-16)). Let n(c) = -c**3 + 9*c**2 + 3*c + 5. Suppose -32 = -5*z + 23. Calculate the remainder when n(p) is divided by z.
10
Let l be 4/16 + 30/8. Suppose 409 = -4*z + 5*o + 44, -361 = 4*z - o. What is the remainder when z/l*16/(-12) is divided by 11?
8
Let a(u) = -15*u - 32. Calculate the remainder when a(-4) is divided by 8.
4
Let p be -41 + -1 - (1 - 1). Let c be 2 + -2 - -2 - 30. Let w = c - p. Calculate the remainder when 41 is divided by w.
13
Suppose 2*u = 5*c + 24 - 2, -5*u + 28 = c. What is the remainder when u is divided by 3?
0
Let k = -1 - -3. What is the remainder when 6/45 + (-4)/(300/(-365)) is divided by k?
1
Let c(w) = -w**3 - 3*w**2 + 6*w + 2. Let v be c(-4). Let i be (-2*8)/(v - -5). Suppose -4*u = -80 - i. What is the remainder when u is divided by 13?
11
Let f = 56 + -34. Let t(n) = 3*n - 6. Let p be t(3). Calculate the remainder when f is divided by (0 - -2) + p + 7.
10
Let y(c) = 2*c**3 + 4*c**2 - 4*c + 1. What is the remainder when y(3) is divided by 29?
21
Suppose -58 - 59 = -w. What is the remainder when w is divided by 24?
21
Let s be (1 - 3) + (5 - 0). Suppose 4*i + 77 = 5*f, -2*f + s*f = -i + 10. Let a = 13 + 24. What is the remainder when a is divided by f?
11
Let k be 1/(-4) + 58/8. Suppose -2*v - 8 = -5*x, 5*x = v + 3 + 1. Suppose -t + 2*t - k = x. Calculate the remainder when 13 is divided by t.
6
Suppose g - 12 = 5*g. Let d(i) = -4*i + 2. Suppose -s + 3*w = -23 - 0, -s = w - 27. What is the remainder when s is divided by d(g)?
12
Let n be (0 - -3) + -11 + 11. Suppose -y = -2*v - 5*y - 10, 3*y = -n*v. Calculate the remainder when 18 is divided by v.
3
Suppose -18 = -g + 4*u, g = u - 2*u + 3. Let k(n) = 4*n**3 - 2*n**2 + 1. Let w be k(1). Suppose -17 = -w*z + 31. What is the remainder when z is divided by g?
4
Suppose 11*l - 107 - 69 = 0. Calculate the remainder when l is divided by 2.
0
Let y(w) = 9*w**2 + 3*w + 1. Let b be 56/(-35) + 3/5. Suppose -12 = -s - 4*h, 3*h + 30 = 4*s - 56. Calculate the remainder when s is divided by y(b).
6
Let o = 17 + -12. Suppose -2*a + 4 + 4 = 0. What is the remainder when o is divided by a?
1
Suppose -t + 3 = -5*w, -w - 5 = -t - 2. Calculate the remainder when (-3)/15 + (-438)/(-15) is divided by (1/t)/(5/150).
9
Let f = -82 - -144. Calculate the remainder when f is divided by 13.
10
Suppose 0 = -4*o + o + 30. Calculate the remainder when 48 is divided by o.
8
Let c = -23 + 34. Calculate the remainder when c is divided by 6.
5
Suppose -3*w + 0*r = 2*r - 13, 2*r - 4 = 0. What is the remainder when 12 is divided by w?
0
Suppose -2*i - 8 = -4*i. Suppose 4*t - 61 = 5*b, 4*t - 2*b + i = 50. Calculate the remainder when 31 is divided by (2 - (-2 + 2)) + t.
9
Suppose 0 = -0*y + 4*y - 3*o + 23, 5*y + o = -43. Let w = 18 + y. Calculate the remainder when w is divided by 4.
2
Suppose r = -0*r + 13. Suppose 6*q = 5*f + 3*q - 8, 2*f - 4*q = 6. Calculate the remainder when r is divided by (8 - (-1)/f) + -2.
6
Suppose -3 = 4*a + 9. What is the remainder when 13 is divided by (0 + a - -6) + 2?
3
Suppose 2*b - 5*b = -w + 13, 0 = w + 2. Calculate the remainder when (325/b)/((-2)/4) is divided by 33.
31
Let t(l) = -l**3 + 4*l**2 + l. Let b be ((-5)/4)/1*-4. Let y be t(b). Let g = 31 + y. What is the remainder when g is divided by 6?
5
Calculate the remainder when (-2)/(2/(-7) - (-3)/12) is divided by 22.
12
Let a = 17 - -5. Calculate the remainder when 43 is divided by a.
21
Let n(f) = -4*f**3 - 1 - f**2 - 2*f**2 - 1. Calculate the remainder when n(-3) is divided by 20.
19
Let v = 240 - 169. What is the remainder when v is divided by 24?
23
Let s = -441 - -622. What is the remainder when s is divided by 8?
5
Let s be 2/(-6)*(-9)/(-3). Let h(d) = -16*d - 1. Calculate the remainder when h(s) is divided by 4.
3
Let x be (10/(-8))/(2/(-8)). Suppose 5*m - 7 = 3*d, -3*d = 2*d - 5*m - x. Calculate the remainder when d is divided by (4/(-5))/(4/(-20)).
2
Let n = -25 + 4. Let w = -13 - n. What is the remainder when w is divided by 3?
2
Let u = -30 - -57. What is the remainder when 80 is divided by u?
26
Let g(b) = -b**2 - 9*b - 6. Let v be g(-6). Let h = -2 + v. What is the remainder when h is divided by 6?
4
Let t = -3 + 23. Suppose 0 = -p - 3*r + t, r - 2*r = -p + 40. Calculate the remainder when p is divided by 12.
11
Let o = 31 - 20. Suppose h - 2*h + 4 = 0. Calculate the remainder when (-2)/h + 430/20 is divided by o.
10
Let o(c) = 2*c**2 - c - 5. What is the remainder when 38 is divided by o(3)?
8
Let u(b) = 2*b - 2. Let z(x) = 1. Let f(i) = u(i) - 4*z(i). What is the remainder when 10 is divided by f(6)?
4
Let r = 115 + -80. Suppose g - 51 = -5*a + 6, -2*a + 2*g + 30 = 0. What is the remainder when r is divided by a?
11
Suppose 0*k + 29 = -3*f - k, -5*f + 5*k = 55. Let y(d) = -2*d - 14. What is the remainder when 15 is divided by y(f)?
3
Suppose -3*a + 5*g + 89 = 0, 5*g - 129 = -5*a + 6. Calculate the remainder when 80 is divided by a.
24
Suppose 0 = 3*v - 10 + 4. Suppose 0*a - a = 3*k - 11, -5*k + 25 = v*a. What is the remainder when 38 is divided by a?
18
Let x(p) = -p - 11. Let t(f) = -2*f - 11. Let c(s) = -5*t(s) + 4*x(s). Let m = 1 - -7. Calculate the remainder when c(m) is divided by 20.
19
Let q = 81 + -16. Suppose 0 = -4*v + 57 + 11. Calculate the remainder when q is divided by v.
14
Let i = -139 - -160. Calculate the remainder when 72 is divided by i.
9
Let k = -9 - -3. Calculate the remainder when (-448)/(-12) + 2/k is divided by 0 + (-4)/(-10) - 189/(-15).
11
Suppose -3*o + 104 = 5*b, 3*b + 3*o + 2 = 68. Calculate the remainder when 131 is divided by b.
17
Suppose 8*z = 5*z. Suppose -2*v = -z - 12. Suppose -o + k = -v*o + 110, 0 = 5*o - 2*k - 110. Calculate the remainder when o is divided by 12.
10
What is the remainder when 41 is divided by 3 + 3*8/3?
8
Let i be 17 + 3/(-1) - 3. Calculate the remainder when 29 is divided by i + -4 + 1 + 3.
7
Let s = -51 + 73. Suppose s = 3*c - 8. Calculate the remainder when 28 is divided by c.
8
Let i(r) be the second derivative of r**4/12 + 5*r**3/6 - r**2 + r. Let y = 33 - 23. Calculate the remainder when y is divided by i(-6).
2
Let n(k) = 3*k**2 + k - 1. What is the remainder when n(-3) is divided by 14?
9
Suppose 6*y - 2*y = 3*z + 14, -5*y - z = -27. Let x be 5/((2/(-10))/(-1)). Suppose 3*i + 1 - x = 0. Calculate the remainder when i is divided by y.
3
Calculate the remainder when 2 - -41 - (0 - 4) is divided by 12.
11
Let n = 50 + -33. What is the remainder when n is divided by 10?
7
Let i = 17 + 7. What is the remainder when i is divided by 7?
3
Let d = -11 - -4. Let u = d + 1