1
Let p be 4 + -2 + 0 + 0. Suppose 39 = r + p*r. Let h = -1 + r. Calculate the remainder when h is divided by 7.
5
Calculate the remainder when ((-105)/(-7))/3 + 26 is divided by (2 + 5/(-2))*-32.
15
Let p(x) be the second derivative of 9*x**5/4 + x**4/6 - x**2/2 + x. What is the remainder when p(1) is divided by 12?
10
Let q(d) = d**2 - 4*d + 2. Let z(x) = -x**3 - 7*x**2 - 10*x + 4. Calculate the remainder when q(5) is divided by z(-5).
3
Let a be 1/(2*2/4). Let j(h) be the third derivative of 17*h**4/24 - h**3/6 + 4*h**2. Calculate the remainder when 46 is divided by j(a).
14
Suppose -4*j = -9*j + 190. Let c = 6 + 2. What is the remainder when j is divided by c?
6
Suppose z - 3 = -3*x + 5, -3*x + 4 = -z. Suppose 3*g - 20 = -x*g. Calculate the remainder when 11 is divided by g.
3
Suppose -7 = -p + u, 0 = 4*p - 0*p - 2*u - 18. What is the remainder when 15 is divided by 6/(-3) + p + 4?
3
Let x be (-3 + 1 + 2)/1. Let v be 2 + (-9)/(x - 3). Suppose 5 = 2*n - v. Calculate the remainder when 13 is divided by n.
3
Calculate the remainder when ((-53)/(-2))/((-8)/(-16)) is divided by (1/(-2) + 2)*12.
17
Suppose -4*n - 17 = u, -2*u + 21 = -5*n + 3. Let d be (u + (-1)/2)*-4. Suppose 2*q - q - d = 0. Calculate the remainder when 16 is divided by q.
4
Let h = -1 + 1. Suppose -60 = -3*i - h*i. Suppose -8 = -g - x, -2*g + i + 24 = -5*x. Calculate the remainder when 34 is divided by g.
10
Calculate the remainder when 12 is divided by (-31)/(-5) + 4/20*4.
5
Suppose -6 = 3*t + 3. What is the remainder when 33 is divided by 14*(36/(-14))/t?
9
Suppose -i - 9 = -4*i. What is the remainder when i is divided by 1?
0
Suppose -5*u + 0 = -15. Suppose -122 = -u*y - 26. Suppose -g - 2*z = -5*g + 36, 0 = -g + 3*z - 1. Calculate the remainder when y is divided by g.
10
Suppose 0 = 5*t - 4*t - 2*m - 9, -3*t + 5 = 5*m. What is the remainder when 39 is divided by t?
4
Suppose 4*z = 8*z. Let y(q) = -q**2 - q + 27. What is the remainder when y(z) is divided by 10?
7
Let s = 11 - 7. Let k = s + 9. What is the remainder when (108/(-15))/(27/(-90)) is divided by k?
11
Suppose 11*i - 7*i = 24. What is the remainder when 6 is divided by (-3 - i/(-3)) + 3?
0
Let l = 0 + -8. Let o = l - -14. Let t(k) = k**2 - 5*k - 2. Calculate the remainder when o is divided by t(6).
2
Suppose 3*f - 4*f = -3. Suppose -29 = -5*h - a + 11, 0 = -5*h + 2*a + 55. Calculate the remainder when -1*f/h*-93 is divided by 11.
9
Let s(y) = -y**2 - 7*y + 1. Let g = -23 - -16. What is the remainder when 3 is divided by s(g)?
0
Suppose -18 = -2*h - 4. Let f(d) = d**3 - 5*d**2 - 7*d + 26. What is the remainder when f(6) is divided by h?
6
Let r(s) be the first derivative of 2*s**3/3 + 2*s**2 - 3*s - 1. Suppose 34 = g - 3*c, 4*c + 4 - 42 = -2*g. What is the remainder when g is divided by r(-4)?
12
Suppose 4*q - 431 = -5*a + 10*a, -2*q - 4*a = -196. What is the remainder when q is divided by 36?
32
Let q(a) = -a**2 - 5*a + 4. Let s be ((-3)/3 - -2)*-4. Calculate the remainder when 29 is divided by q(s).
5
Suppose 4*f + 19 = -m - 4*m, -4 = f + m. Suppose 7 = -5*r + 32. What is the remainder when r is divided by f/2*6/(-1)?
2
Let i be (0 + 1)*(-3 - -5). Suppose -25 - 17 = -i*n. Calculate the remainder when 81 is divided by n.
18
Let v(k) = -9*k - 2. Let c be v(-3). Calculate the remainder when ((-2)/(-5))/(1/c) is divided by 4.
2
What is the remainder when 1/4 + (-492)/(-16) is divided by 17?
14
Let l(i) = -i - 3. Calculate the remainder when 27 is divided by l(-13).
7
Let i = -35 - -59. What is the remainder when 46 is divided by i?
22
Let s = 3 - -3. Suppose s*q - q - 3*v = 66, -5*q + 5*v + 70 = 0. What is the remainder when 47 is divided by q?
11
Let s(g) = 6*g**2 + 2*g + 2. What is the remainder when 26 is divided by s(-1)?
2
Suppose -2*r - 4*s + 27 = -13, -2*r = -s - 25. What is the remainder when 54 is divided by r?
12
Let g(v) = v**2 + 8. Let p = 31 - 22. Calculate the remainder when g(-5) is divided by p.
6
Suppose -55 = -6*h + 275. Suppose 5*m - 5*k = 85, -3*m + 7*k = 3*k - 47. Let x = m - 2. What is the remainder when h is divided by x?
17
Let o = 23 - 2. Calculate the remainder when o is divided by 6.
3
Suppose -u - 11 = -2*y + 7*y, 0 = -y + u - 1. What is the remainder when y + 38 - (2 + 2) is divided by 17?
15
Let n(b) = -b**2 + 5*b + 6. Let m(y) = y**3 + 12*y**2 - 13*y + 17. Let p(h) = 3*h - 1. Let f be p(-4). Calculate the remainder when m(f) is divided by n(5).
5
Let y = 35 - 30. Calculate the remainder when 51 is divided by y.
1
Let y = 429 + -256. What is the remainder when y is divided by 35?
33
Calculate the remainder when (19 - 4)/(4/12) is divided by 8.
5
Let b = -22 + 36. What is the remainder when (9/(-5))/(2/(-30)) is divided by b?
13
Let s(y) = -y**2 - 3*y - y - 3*y + y. Calculate the remainder when 7 is divided by s(-5).
2
Suppose 3*q - 39 = 2*q. What is the remainder when q is divided by 25*((-7)/(-5) + -1)?
9
Let r = 390 - 269. Let m = r - 81. Suppose 4*f - 12 = -4, -3*w + f + 61 = 0. Calculate the remainder when m is divided by w.
19
Let w(m) = 14*m + 3. Let k be w(-5). Let a = -24 - k. What is the remainder when a is divided by 22?
21
Suppose 7 = h + 5. Suppose -x = 3*u - 4 + 12, -3 = x + h*u. Suppose 2*v - 12 - 40 = 0. What is the remainder when v is divided by x?
5
Suppose -3*i = -160 + 7. Suppose -m = 4*k - 49, -4*k - 3*m + 0*m + i = 0. Suppose 2*x + 1 = 45. What is the remainder when x is divided by k?
10
Suppose y = -13 - 17. Calculate the remainder when (-2*129/6)/(-1) is divided by (-1)/(32/y - -1).
13
What is the remainder when (3 + 2*-2)*-67 is divided by (-6 - -7)/((-1)/(-17))?
16
Suppose 1 = s - 4. Suppose 74 = 2*r + 26. Suppose 3 + r = 3*d. What is the remainder when d is divided by s?
4
Calculate the remainder when (-2061)/(-18) - (-1)/(-2) is divided by 39.
36
Suppose 0 = 4*x + 2*h - 20, -5*x = h - 3*h - 7. Suppose 0 = -x*y + 4*c + 92, 2*c - 3 - 35 = -2*y. What is the remainder when y is divided by 13?
11
Let h(k) = 12*k**3 - 2*k**2 - k + 1. Calculate the remainder when h(2) is divided by 30.
27
Let g = 7 - 4. Suppose g*q = 6*q + 33. Let s = q - -23. Calculate the remainder when 34 is divided by s.
10
Suppose 5 = 5*u + 4*c - 2, 5*u + 3*c = 4. What is the remainder when 4 is divided by (u - -2) + 0/(-4)?
0
Let c be 3/(-2) + (-4)/(-8). Suppose 0 = -w + 3*d - 11, 6*d - 15 = w + 2*d. What is the remainder when 10 is divided by w - c - (1 - 3)?
2
Let a = 44 - 36. Calculate the remainder when 68 is divided by a.
4
Let w = 18 + -54. Let c = -22 - w. What is the remainder when c is divided by 5?
4
Let p = -23 - -32. Let t be 12*(-3)/((-6)/1). Calculate the remainder when (t/(-9))/((-1)/39) is divided by p.
8
Suppose 13*u = 8*u - 10. What is the remainder when 1 is divided by 3/((-3)/u) + -1?
0
Let v = -15 - -16. What is the remainder when v is divided by 1?
0
Let a(m) = -3*m - 7. What is the remainder when a(-14) is divided by 12?
11
Let p(a) = -a**2 + 17*a + 9. What is the remainder when 72 is divided by p(16)?
22
Suppose 129 = 3*k - 3*g, -134 = -5*k + 4*g + 77. Suppose -13 + 3 = -i. What is the remainder when k is divided by i?
9
Let d(w) = w**2 - 6*w + 4. Let s be d(4). Suppose -90 = -3*y + 24. Calculate the remainder when y is divided by (1 + 14/s)*-4.
8
Suppose 8*x = 7*x + 12. Let f(u) = u**3 - 5*u**2 + 5*u - 2. Calculate the remainder when f(5) is divided by x.
11
Suppose 69 + 18 = 4*t - q, -5*q - 57 = -2*t. What is the remainder when 102 is divided by t?
18
Let h(o) = -12*o + 25. Calculate the remainder when h(-6) is divided by 49.
48
Suppose -x = -0*n + 3*n, -2*n = 3*x - 35. What is the remainder when 41 is divided by x?
11
Let g(m) = -m**3 - 9*m**2 - 13*m + 11. Calculate the remainder when 19 is divided by g(-7).
3
Let d(v) = 3*v**3 - 5*v**2 + 15*v - 1. Let k(h) = -4*h**3 + 4*h**2 - 16*h + 1. Let r(y) = -5*d(y) - 4*k(y). What is the remainder when 19 is divided by r(-10)?
8
Suppose 4*s - 664 = 4*y, 2*y - 314 = -2*s + 14. Suppose s = 7*z - 2*z. Calculate the remainder when z is divided by 17.
16
Let s = -64 + 70. Calculate the remainder when 11 is divided by s.
5
Let d be 55 - (1 - (-4)/2). Let i = d - 23. Calculate the remainder when i is divided by 8.
5
Suppose 8*q = 3*q + 120. What is the remainder when q is divided by 9?
6
Let s(o) be the second derivative of o**4/