 = 0, -5*j = 5*n + 8 - 38. Let h = -186 - -191. What is the remainder when h is divided by n?
1
Suppose 0 = 3*y + 30 + 39. Let b = y - -37. Calculate the remainder when b is divided by 4.
2
Suppose 2*l - 4*z = 1 - 7, 5*z = 4*l. Suppose 9 = -l*n + 44. Calculate the remainder when n is divided by 4.
3
Let z = 18 - 60. Let q = z - -70. What is the remainder when q is divided by 10?
8
Let l = -20 - -34. Let t = -17 - -23. Suppose -t*a + 3*a = -123. Calculate the remainder when a is divided by l.
13
Let b(d) = -2*d**2 - 34*d + 9. Let c = -7 - -12. What is the remainder when b(-17) is divided by c?
4
Suppose -3*g = -0*g - 387. What is the remainder when g is divided by 26?
25
Let a(h) = 2*h**2 - 5*h + 3. What is the remainder when (-6)/((-9)/3) + 21 is divided by a(3)?
5
Let c = 6 - 3. Suppose 0 = -v - 3*s + 10, -2*s + 102 = c*v + 2*v. Calculate the remainder when v is divided by 8.
6
Let w(t) = -t**2 + 7*t. What is the remainder when 32 is divided by w(3)?
8
Suppose 0 - 6 = -2*n. Let d = -43 - -73. Suppose 0*a + d = n*a. Calculate the remainder when 18 is divided by a.
8
Suppose -5*t - i + 208 = -4*i, -4*t + 3*i = -164. Calculate the remainder when t is divided by 12.
8
Suppose j + 4*c = 28, 5*j = 2*j - 3*c + 57. Let m be ((-3 - -3) + 2)*1. Suppose 93 = f + m*f. What is the remainder when f is divided by j?
15
Suppose -4*w - 3*x - 40 - 5 = 0, -w + 4*x = -3. Let u(c) = c**3 + 10*c**2 + 8*c + 12. Calculate the remainder when u(w) is divided by 8.
5
Let r be (2 - 3 - -2)*1. Let z = 5 - r. Calculate the remainder when z is divided by -2*3*1/(-3).
0
What is the remainder when 44 is divided by (-141)/(-5) + ((-16)/(-20))/(-4)?
16
Let d(m) = -m**3 + 5*m**2 + m - 3. Let z be d(5). Suppose z*a = 2 - 0. Calculate the remainder when 2 is divided by a.
0
Let w(k) = k**2 - 5*k - 2. Let v be w(6). Let o = 7 - v. Suppose 0*u = 5*y + o*u - 58, 66 = 5*y + u. Calculate the remainder when 40 is divided by y.
12
Let m be 42/(-9)*(5 - 2). Let a = m + 22. Let g = 28 - 13. Calculate the remainder when g is divided by a.
7
Let r = 8 - 6. Suppose 0 = x - r*x + 8. Calculate the remainder when x is divided by 3.
2
Let p be 22/8 + 4/16. Let w = p + -2. What is the remainder when 2/(2/(-3)*-3) is divided by w?
0
Let j(w) = w**3 - w**2 - 3*w - 2. What is the remainder when 67 is divided by j(4)?
33
Suppose 5*a = -4*v + 3 + 63, v = 3*a - 26. Suppose 0 = -x - 1 + 28. Calculate the remainder when x is divided by a.
7
Let a(w) = w**3 - 5*w**2 + 5*w - 6. Let d be a(4). Let n = 9 + -2. What is the remainder when n is divided by 1 - (d - 0/1)?
1
Suppose 0 = 2*m - 5*f - 35, -2*m - 3*f + 1 = 6. What is the remainder when m is divided by 3?
2
Suppose 4*a + 115 = 4*l + l, 0 = 5*l + 4*a - 75. Let i = l + 2. What is the remainder when -3 - -2 - (-42 - (1 + -1)) is divided by i?
20
Calculate the remainder when 25 is divided by (-28)/(-42)*(1 + 20).
11
Let l be (-1359)/(-27) - (-1)/(-3). Calculate the remainder when (-24)/16*l/(-3) is divided by 14.
11
Let q = -238 + 556. What is the remainder when q is divided by 64?
62
Suppose -20 = -2*j - 16. What is the remainder when j is divided by 1?
0
Suppose -2*w - w + 126 = 0. Let c be 2/11 + w/11. What is the remainder when 16/(-12)*(-90)/c is divided by 16?
14
Suppose 5*q - 122 = 88. Let u(z) = -z**2 - 11*z - 7. Calculate the remainder when q is divided by u(-9).
9
Let w(f) = 5*f**3 + 2*f**2 + f - 2. Calculate the remainder when 22 is divided by w(1).
4
Let m = 20 - -17. Suppose 4*y + z = m, y - 5 - 5 = -z. What is the remainder when ((-125)/(-10))/(1/2) is divided by y?
7
Let o = 16 - 9. Calculate the remainder when 19 is divided by o.
5
Suppose 30 = 7*r - 19. What is the remainder when r is divided by 3?
1
Let t(s) = -s**3 + 12*s**2 + 14*s - 9. What is the remainder when 7 is divided by t(13)?
3
Let u = 5 - 0. Suppose 0 = u*d - 3*d - 126. Calculate the remainder when d is divided by 16.
15
Suppose 4*j - 42 = 3*j. Calculate the remainder when 55 is divided by j/8*8/3.
13
Suppose -o - 2*i = 3*o - 16, -o - 3*i + 4 = 0. What is the remainder when o is divided by 3?
1
Suppose -h = -0*h - 52. Suppose 17 = u + h. Let y = u + 52. What is the remainder when y is divided by 9?
8
Suppose 6*l - 2*l + 3*b = 171, 0 = -4*l - b + 169. Calculate the remainder when l is divided by 18.
6
Let z(t) = -t - 1. Let g(y) = -7*y + 4. What is the remainder when g(-3) is divided by z(-15)?
11
Let x(a) = 8*a + 1. Suppose -3*b = 3*k - 0*b - 21, 2*k - 15 = -3*b. Calculate the remainder when x(2) is divided by k.
5
Let p(t) = -t. Let d be p(-7). Let k(q) = -q**3 + 6*q**2 + 8*q + 3. Calculate the remainder when 28 is divided by k(d).
8
Suppose 0 = -4*r + 3*w + 80, -2*r + 53 + 13 = 5*w. What is the remainder when 38 is divided by r?
15
Let j(d) = 3*d + 21. What is the remainder when 91 is divided by j(9)?
43
Suppose -3*r = -4*f + 98, -4*r - 165 = -5*f - 43. What is the remainder when 76 is divided by f?
24
Suppose -3*z = -5 - 49. Let s = 56 + -46. What is the remainder when z is divided by s?
8
Suppose 0 = -4*k + 4, 0 = -3*z + 4*k - k + 81. Suppose -j - 4*o = -5*j + 40, 20 = 2*j + 5*o. Calculate the remainder when z is divided by j.
8
Let z = 40 + -33. What is the remainder when z is divided by 5?
2
Let m be ((-10)/(-6))/((-1)/3). Let c(s) = -s**3 - 3*s**2 + 7*s + 2. Suppose 0 = -b + 4*b - 99. What is the remainder when b is divided by c(m)?
16
Let t be 2/(-4)*6 + 5. Suppose t*c - 20 = c. Calculate the remainder when 38 is divided by c.
18
Let w(c) = c**2 - 2*c - 4. Let l be w(4). Let q = 11 + l. Calculate the remainder when q is divided by 8.
7
Suppose g + 4*w - 50 = -1, 0 = -5*g + 3*w + 130. Let m(d) = 7*d - 6. What is the remainder when g is divided by m(2)?
5
Let c(k) = -k**2 + 2*k - 3. Let z(v) = 2*v**2 - 5*v + 7. Let b(i) = -5*c(i) - 2*z(i). Calculate the remainder when 4 is divided by b(-1).
0
Suppose -y = -4*i - 47, 0*y = 4*y - 5*i - 210. Suppose 3*g = -d - 1, 2*g = -5*d + 45 + 15. What is the remainder when y is divided by d?
13
Suppose -d + 2 = 0, -s - d = -6*d + 3. Let l = 26 - 7. What is the remainder when l is divided by s?
5
Suppose 3*z = z - 8. Let g be z/6 + 84/(-9). Let j = 39 + g. Calculate the remainder when j is divided by 10.
9
Let k(c) be the first derivative of c**4/2 + c**2 - 4. Calculate the remainder when k(3) is divided by 21.
18
Let q = -2 + 5. Let n(a) = a + 4. Suppose 2*b - 80 = -2*b. What is the remainder when b is divided by n(q)?
6
Let g = -9 - -29. Let l be 33/2*4/6. Suppose 17 = 4*v - l. What is the remainder when g is divided by v?
6
Let h be ((-15)/(-12))/(1/8). What is the remainder when 1/5 + (-912)/(-40) is divided by (-4)/h - 84/(-10)?
7
Let a = -64 - -105. Calculate the remainder when a is divided by 11.
8
Let v(b) = -b**3 - 7*b**2 - 7*b - 3. What is the remainder when 7 is divided by v(-6)?
1
Let n = 25 + 29. Calculate the remainder when n is divided by 11.
10
Let x(p) = -p**2 + 9*p + 3. Calculate the remainder when 7 is divided by x(9).
1
Suppose 3*x - 27 = -12. Suppose -3*j - 1 + 7 = 0. Suppose l = -j*l + 6. Calculate the remainder when x is divided by l.
1
Suppose -35*h - 23 = -36*h. Calculate the remainder when 113 is divided by h.
21
Suppose -3*x + 30 = 4*q - 7*q, -2*x + q + 20 = 0. What is the remainder when 59 is divided by x?
9
Let u be ((-1 - 2) + 2)*-5. Suppose -y + 0*z + 14 = -4*z, u*z = 2*y - 28. What is the remainder when 54 is divided by y?
12
Let u(w) = 3*w**3 - w**2 + w - 1. Let p be u(1). Suppose p*a + 2*a = 20. What is the remainder when 8 is divided by a?
3
Suppose 5*p + 30 = 5*u - 175, 2*p = 3*u - 124. Calculate the remainder when u is divided by 15.
12
Let s(o) be the third derivative of o**6/120 - o**5/60 + o**4/24 + 5*o**3/6 - 3*o**2. Let a(r) = 2*r - 10. What is the remainder when s(0) is divided by a(7)?
1
Suppose -28*f + 364 = -24*f. Calculate the remainder when f is divided by 31.
29
Suppose 2*h + 0*h = 0. Suppose -o + 5*o + 48 = h. What is the remainder when (-2)/6 + (-76)/o is divided by 2?
0
Suppose -4*a + 2*m = -256, 3*m + 38 + 36 = a. Suppose 4*i = -3*b + 64, 2*b + 64 = 4*i - 3*b. What is the remainder when a is divided by i?
14
Suppose -3*q + 2*f + 54 = -f, -q = f - 22. What is the remainder when 1/(-2)*(1 + -115) is divided by q?
17
Suppose 50 - 1 = g. What is the remainder when g is divided by 17?