e remainder when 1 + 6 + (1 - 1) is divided by s(12).
1
Suppose 1 = r - 2. Let x(c) = c**2 - 5*c - 3. Let i be x(6). Suppose -r*p + 4 - 7 = 3*w, -i*p = 2*w - 1. Calculate the remainder when p is divided by 2.
1
Suppose 174 + 46 = 10*g. What is the remainder when 63 is divided by g?
19
Suppose -3*b = -2*b - 5*a - 45, -5*b - 5*a + 105 = 0. Calculate the remainder when 72 is divided by b.
22
Suppose -b + 78 = 4*c - 2*b, -4*c + 3*b + 82 = 0. Suppose 5*l - 44 = 141. Let h = l - c. Calculate the remainder when 33 is divided by h.
15
Suppose 0 = -4*k - 2*u + 88, -3*k - 2*u - u + 60 = 0. What is the remainder when 84 is divided by k?
12
Let x(p) = -2*p**2 + p + 2. Let k be x(2). Let d = -1 - k. Calculate the remainder when d is divided by 3.
0
Let b(o) = -o**2 + 8*o + 23. Suppose 2*j - 14 - 4 = 0. What is the remainder when b(6) is divided by j?
8
Suppose 0 = 3*m - 22 - 44. Calculate the remainder when m is divided by (-2)/(-4) + 55/10.
4
Let j = 104 + -57. Suppose -2*x + 32 + 0 = 4*g, x + 5*g - 4 = 0. Calculate the remainder when j is divided by x.
23
Let h(s) = -s**2 - 7*s + 6. Let p be h(-8). Let a = p + 6. Suppose -m = -0*m - 4*g + 5, 0 = -3*m - a*g + 33. Calculate the remainder when 13 is divided by m.
6
Suppose -g = 5*k - 45, -3*k = -g - 3*g + 272. Calculate the remainder when g is divided by 17.
14
Let u(i) = -3 + 1 + 0*i + i. What is the remainder when (1/1 - -12)/1 is divided by u(7)?
3
Suppose -2*o + 4*m = -12, -5*o + 30 = 8*m - 3*m. Let l(b) = b**2 - 8*b + 7. Let f be l(o). Let t = 23 + f. Calculate the remainder when t is divided by 10.
8
Let j = -59 - -66. Suppose 4*d - 4*m + 44 = 0, -2*d - 39 = 2*d - 3*m. Let q(n) = -n + 7. Calculate the remainder when q(d) is divided by j.
6
Suppose -2*u - 10 = -0*u. Let z = -10 - -7. Let m = z - u. Calculate the remainder when 7 is divided by m.
1
Suppose -5*d + 3*y + 39 = 7*y, 3*y = -4*d + 32. Let r(p) = p**2 + 11*p + 31. What is the remainder when r(-11) is divided by d?
9
Let w = 55 + -100. Let t = 66 + w. What is the remainder when t is divided by 12?
9
Let p = -22 - -54. Let m = p - 14. What is the remainder when 69 is divided by m?
15
Suppose 5*g = b + b + 26, 4*g = -3*b + 30. Calculate the remainder when 38 is divided by g.
2
Suppose 4*y - 5*i - 96 = 0, i - 4 = -0*i. Suppose -2*x + c = -3*c - 44, 2*c - 8 = 0. Calculate the remainder when y is divided by 1/((-28)/x - -1).
14
Let f(b) = -12*b - 7. What is the remainder when f(-5) is divided by 18?
17
Let l(k) = 11*k - 70. Calculate the remainder when 20 is divided by l(7).
6
Let j = -47 - -59. What is the remainder when 33 is divided by j?
9
Suppose 0 = 5*x + 4*k - 19, -5*k + 2 = -2*x + x. Suppose 0 = -2*o - o - 3*w + 6, 2*w = -4*o + 10. What is the remainder when x is divided by o?
0
Let k(c) = 13*c - 1. Let o be -3*(1 - -1) - 3. Calculate the remainder when k(3) is divided by ((-3)/o)/((-1)/(-39)).
12
Suppose -6 - 10 = -4*t. Suppose t = -3*u + 4*u. Suppose 3*z - 5*p = 132, 0*z - 144 = -u*z - 4*p. What is the remainder when z is divided by 10?
9
Suppose -5 = -2*n + 1. What is the remainder when n is divided by 3?
0
Calculate the remainder when 31 is divided by ((-6)/1)/((-9)/12).
7
Calculate the remainder when (2 + 1)*110/15 is divided by 5.
2
Suppose 5*k - 4*a = 232, 4*k + 4*a = 77 + 87. Suppose k + 49 = 3*m. Calculate the remainder when m is divided by 8.
7
Let a(w) = 8*w + 4. Let f be a(-5). Let r = f - -71. What is the remainder when r is divided by 38/3 + (-8)/12?
11
Suppose 3*f - 56 = -f. Calculate the remainder when 41 is divided by f.
13
Let t(m) = m - 3. Calculate the remainder when (-6)/4*2/(-3) is divided by t(4).
0
Let w(l) = 35*l. Let d be w(-4). Let k = -99 - d. What is the remainder when k is divided by 11?
8
What is the remainder when 2 + -2 - (3 + -51) is divided by 10?
8
Let w be 0/2 - (-2)/(-2). Let i(l) = 13*l**2 - l - 2. What is the remainder when i(w) is divided by 7?
5
Suppose -4*s = -2*s - 20. Suppose -4*n - 2 = -s. What is the remainder when n is divided by (-1 - 2)*(3 - (-60)/(-18))?
0
Let y(t) = -15*t + 2. Calculate the remainder when y(-2) is divided by 11.
10
Suppose 0 = l - 33 - 26. Calculate the remainder when 292 is divided by l.
56
Let b(o) = 4 - 2*o - 4 - 8. What is the remainder when b(-7) is divided by 4?
2
Let a(l) = l**3 + l**2 + l + 27. Calculate the remainder when 106 is divided by a(0).
25
Suppose -2*v + g + 31 = 0, -3 = -2*g - 1. Let c be (3 + 30)*14/3. Let z = c + -108. Calculate the remainder when z is divided by v.
14
Let z = 3 + 20. Calculate the remainder when z is divided by 13.
10
Suppose 3 = 2*v - 3. Suppose -34 = -4*g + 5*z, -4*z - 4 = -v*g + 21. Calculate the remainder when 21 is divided by g.
10
Let a(j) = -j**2 - 11*j - 17. What is the remainder when a(-8) is divided by 5?
2
Let l be (0 - 1) + 0 + 10. Suppose 2*r - j - l = 0, -4*j - 21 = 2*r + j. Suppose -r*g - 16 + 42 = 0. Calculate the remainder when 38 is divided by g.
12
Let x be (-2 - -2) + 11 - 1. Calculate the remainder when 28 is divided by (0 - x)*(-4 - -3).
8
Suppose 0 = -4*g + 2*g + 22. Calculate the remainder when (2 - 0) + 32 + -2 is divided by g.
10
Let f be (-6)/9 - (-32)/3. Suppose 2*u = 4*r + 20, -u + 4*u = r + f. Suppose -u*a + 0*x + 2*x = -16, a - 8 = 2*x. What is the remainder when a is divided by 3?
2
Suppose 2*w + 4*u = 3*u + 104, 2*u - 8 = 0. What is the remainder when w is divided by 17?
16
Suppose 0 = 4*q - 24 - 104. Let d = -19 - -70. What is the remainder when d is divided by ((-27)/(-4))/(12/q)?
15
Suppose 0 = 4*l - 2 + 10. Calculate the remainder when 5 is divided by (-108)/(-63) + l/(-7).
1
Let c = -3 + 8. Suppose c*h - 82 = 93. Calculate the remainder when h is divided by 6*3 - (1 + -1).
17
Suppose 0 = 3*g - 4*l - 207, 2*l = 4*l. Suppose -135 = -4*s + g. Calculate the remainder when s is divided by 13.
12
Suppose 10 = 3*d - 68. Calculate the remainder when d is divided by 16.
10
Let j(b) be the first derivative of b**4/4 - 5*b**3/3 + 2*b**2 + 5*b + 2. Calculate the remainder when ((-13)/2)/((-1)/2) is divided by j(4).
3
Let l = 63 + -40. What is the remainder when 87 is divided by l?
18
What is the remainder when 21*(3 + 16/(-6)) is divided by 2?
1
What is the remainder when 63 is divided by 97/3 - (-12)/(-36)?
31
What is the remainder when (156/13)/((-4)/(-26)) is divided by 43?
35
Let p = 1 - -1. Suppose 2*s + p*n = n + 8, 5*s - 21 = -2*n. Let u(w) = 2*w**3 - 8*w**2 + 3*w. What is the remainder when u(s) is divided by 17?
14
Let a = -94 - -102. What is the remainder when a is divided by 6?
2
Let j = 2 - -8. Suppose -g + 5*b = -23, -4*g + 0*g - 2*b + 114 = 0. What is the remainder when g is divided by j?
8
Suppose 0 = 3*s + 5*t - 32, s - 3*t = -s - 4. Suppose -11 + 0 = -3*p + s*h, -3*h = -3*p + 12. Calculate the remainder when 8 is divided by p.
3
Let l(h) = -h**3 - 8*h**2 - 10*h - 6. Let i be l(-7). Let q = i - 8. What is the remainder when q is divided by 4?
3
Let i(v) = 4*v**2 - v + 1. Let z be i(1). Suppose x = -2, -2*u - z*x + 22 = u. Calculate the remainder when 39 is divided by u.
9
Let u be 3 + -3 + 1 + 0. Suppose -u = -5*q + 14. Suppose -y + q*y - 6 = 0. What is the remainder when 4 is divided by y?
1
Suppose 3*v - 20 = 2*g, 4*g + 10 = 4*v - v. Calculate the remainder when 17 is divided by v.
7
Suppose -s = -0*s - 39. Let u(g) = -g**3 + 5*g**2 + 12*g - 52. Calculate the remainder when s is divided by u(5).
7
Let w(k) = 4*k**2 + 23*k + 26. Calculate the remainder when w(-11) is divided by 37.
35
Let l = 50 + -34. What is the remainder when 63 is divided by l?
15
What is the remainder when (52/(-16) - -1)/((-2)/80) is divided by 23?
21
Let x(l) be the second derivative of l**3/6 - 5*l**2/2 + 5*l. What is the remainder when x(9) is divided by 2?
0
Let b(i) be the third derivative of i**5/60 + i**4/8 - 2*i**3/3 - 2*i**2. Calculate the remainder when b(-8) is divided by 13.
10
Let r(b) = 2*b**3 - b**2 - b + 1. Calculate the remainder when r(3) is divided by 3*(-6)/((-72)/92).
20
Let y = 90 - 83. What is the remainder when 17 is divided by y?
3
Calculate the remainder when 104 is divided by (-910)/(-50) - 1/5.
14
Calculate the remainder when 73 is divided by (-7)/(14/12)*38/(-6).
35
Let d(z) = -z**2 + z + 4 - z**3 + 0*z**2 + 4*z. Calculate the remainder when 10 is divided by d(-3).
3
Suppose -2*y = -0*y 