s the remainder when x is divided by z?
10
Suppose 0 = 9*i - 969 + 276. What is the remainder when i is divided by 27?
23
Calculate the remainder when 20 is divided by 16/6*(7 - 4).
4
Suppose 0 = -4*y - 1 - 3. Let w = 0 - y. Calculate the remainder when 1 is divided by w.
0
Let o(l) = -4 - 1 + 14*l**3 + 4 + 2*l + 3*l**2 - 4*l**2. Suppose -2 = -z + 3. What is the remainder when o(1) is divided by z?
4
Let w = 15 - 7. Suppose -4 = 2*p, -3*p = -4*j - w*p + 54. Let i(g) = g**3 + 3*g**2 - 3*g - 3. Calculate the remainder when j is divided by i(-3).
4
Let d = 865 + -848. Let z(c) = 3*c**2 - 5*c - 2. Calculate the remainder when z(-4) is divided by d.
15
Suppose 4*h - 230 = -h. What is the remainder when h is divided by 17?
12
Let r = -32 + 96. What is the remainder when r is divided by 23?
18
Let y(a) be the first derivative of a**3 + 4*a + 3. Suppose -o = -1 + 4. Calculate the remainder when y(o) is divided by 11.
9
Let i = -5 - -19. Let l(b) = 111*b**3 + 1. Let o be l(1). Suppose -o = -3*f + 11. Calculate the remainder when f is divided by i.
13
Let z = 94 + -37. Let w = z + -41. What is the remainder when (-187)/(-4) + (-4)/(-16) is divided by w?
15
Let c = -9 + -110. Let p = c + 81. Let h = -19 - p. What is the remainder when h is divided by 10?
9
Let w(a) be the third derivative of a**4/12 + a**3 - 19*a**2. Let z(k) = -k - 2. Let v be z(-8). What is the remainder when 69 is divided by w(v)?
15
Let d = -8 - -83. Let u = -16 + d. Calculate the remainder when u is divided by 20.
19
Suppose -4*v - 2*x + 44 = 0, v + 37 = 6*v - 2*x. What is the remainder when 2*((-63)/(-6) + -2) is divided by v?
8
Let z(b) = 2*b + 5. Calculate the remainder when z(6) is divided by 9.
8
Let n(y) = y**3 - y**2 + 1. Let c be n(2). Suppose -2*h = -4*q + 74, 0 = 4*q - 0*q + c*h - 109. What is the remainder when q is divided by 5/((-5)/2) - -13?
10
Suppose 92 = -4*y + 20. Let l(a) = -2*a. What is the remainder when (-1)/3 + (-420)/y is divided by l(-6)?
11
Let i be (4/(-6))/((-2)/3). Let l = 3 + i. Suppose 3*k - 30 = 3*o - o, 0 = -k - l*o + 10. Calculate the remainder when 18 is divided by k.
8
Let m(s) = -3*s + 0*s - 5*s - 2*s. What is the remainder when m(-2) is divided by 7?
6
Let s(w) = -w**3 - 5*w**2 - 6*w - 6. Let m be s(-4). Let d(i) = 2*i**2 + i**m + 10 + 8*i - 2*i**2. What is the remainder when 5 is divided by d(-7)?
2
Let l(s) = s**2 + 7*s + 10. What is the remainder when 15 is divided by l(-6)?
3
Calculate the remainder when 58 is divided by (-6)/(-8) + 1*(-228)/(-16).
13
Suppose -4*y - y = 0. Suppose y = -4*c + s + 134, 0*s = -c - s + 36. Calculate the remainder when c is divided by 7.
6
Suppose 0 = 9*z - 7*z - 26. Suppose -3*w + 51 = 21. Let g = 17 - w. What is the remainder when z is divided by g?
6
Suppose 3*w = 2*a + 8, 0 = 2*w + 2*a - 12. What is the remainder when 6 is divided by w?
2
Suppose 7 = -4*p + 2*f - 13, -2*f = -p - 5. Let o = -1 + p. What is the remainder when 58 is divided by 20/o*(0 + -6)?
18
Let v be -2*((1 - 0) + 12). Let h = v - -37. Calculate the remainder when 21 is divided by h.
10
Let b = 9 + 1. Suppose 0 = -6*q + b*q - 36. What is the remainder when q is divided by 3?
0
Let r(i) = 19*i**2 - i - 1. Let v be r(2). Let h = v - 18. Calculate the remainder when h is divided by 19.
17
Suppose -o + 164 = -5*o. Let d = o + 64. What is the remainder when d is divided by 12?
11
Let j = -38 + 10. Suppose 4*y - 13 = -1. Calculate the remainder when (3 - 0)/y - j is divided by 15.
14
Let d = 13 + -4. What is the remainder when 24 is divided by d?
6
Let a(y) = y**3 - y**2 + 3. Let u be a(0). Let k(x) = x**3 - 3*x**2 + 4*x - 3. What is the remainder when (-79)/(-3) + 1/(-3) is divided by k(u)?
8
Suppose 4*n + 5*u - 8 = 0, -4*u = -n + u + 27. Let m(s) = s - 3. Let j be m(n). What is the remainder when (-53)/(-2) - 6/j is divided by 13?
12
Suppose -2 = -2*b + 18. Calculate the remainder when b is divided by 6/8*(10 + -2).
4
Let q be (2 - 1) + 1 + -3. Let d be q*(-1 + 0)*16. Suppose f - d = 15. Calculate the remainder when f is divided by 11.
9
Suppose n + 5*q + 23 = 4*n, -q + 35 = 3*n. What is the remainder when 26 is divided by n?
4
Let v = 102 - 86. Suppose 68 = -k + 3*k - 5*z, 3*z = -2*k + 52. Calculate the remainder when k is divided by v.
13
Suppose 0 = -23*y + 19*y + 96. Calculate the remainder when 45 is divided by y.
21
Let j = 46 + 45. What is the remainder when j is divided by 23?
22
Let r(u) = u**2 - 12*u + 10. Let t be r(7). Let a = -13 - t. Calculate the remainder when 35 is divided by a.
11
Suppose h - 15 = p, -3*h - p - 11 = -52. What is the remainder when 39 is divided by h?
11
Let y(j) = -j - 16 + 57 - 23. What is the remainder when 3 is divided by y(15)?
0
Suppose -14*a + 242 = -3*a. Calculate the remainder when 128 is divided by a.
18
Suppose -3*g + 168 = 9*g. What is the remainder when 208 is divided by g?
12
What is the remainder when 22 is divided by -8*(2 + 2 + -5)/2?
2
Suppose 0 = 5*t - 3*h - 314, -5*t - h + 293 = 3*h. Suppose y = -y + 32. Calculate the remainder when t is divided by y.
13
Let u be 1/(-2)*(-8)/2. Suppose u*k = -3*k + 20. Let t(n) = -n**2 + 5*n + 6. Calculate the remainder when t(5) is divided by k.
2
Let x(v) = v**3 + 8*v**2 + 8*v - 12. What is the remainder when 43 is divided by x(-5)?
20
Suppose -3*r - 33 = -5*p, 5*r + 46 - 11 = 5*p. What is the remainder when 10 is divided by p?
4
Suppose 6*r = 4*r + 8. What is the remainder when 33 is divided by ((-14)/21)/(r/(-54))?
6
Let f = 58 - 26. Suppose 0 - f = -2*d. Let o = -21 - -30. Calculate the remainder when d is divided by o.
7
Suppose d = -h + 23, 0 = 2*d + 2 - 0. What is the remainder when 70 is divided by h?
22
Suppose 4*h - 69 = -4*s + 15, -h + 2*s = -24. What is the remainder when h is divided by 9?
4
Let x = 2 + 1. Calculate the remainder when x is divided by (4*1/(-3))/(66/(-99)).
1
Suppose i - 2*i = -2*b + 21, -b - 2 = 2*i. Suppose -3*j + 78 = 5*v - 4*j, 0 = 4*v - 3*j - 69. Calculate the remainder when v is divided by b.
7
What is the remainder when 20/(-8)*(-3 + (-1204)/20) is divided by 40?
38
Suppose 12 = 4*v + 4. Let w(c) = c - 2. Suppose -t + 2*t = 3. Calculate the remainder when v is divided by w(t).
0
Suppose w + 70 = 6*w. Suppose 81 = -b + 4*b. What is the remainder when b is divided by w?
13
What is the remainder when (1 + -3)*-2*26/4 is divided by 4?
2
Let d(u) = 5*u**3 - u. Let q(p) = p**2 + 8*p + 9. Let n be q(-7). Let b be d(n). Calculate the remainder when 7 is divided by b/14 - 2/(-7).
1
Let a = 58 - 46. What is the remainder when 82 is divided by a?
10
Let a be 3/(4 - 1 - 2). Suppose -2*p - a*p + 10 = 0. Calculate the remainder when 6 is divided by p.
0
Calculate the remainder when 21 is divided by 6 + -1 + -4 + 13.
7
Let i = 7 + -1. Calculate the remainder when (8 - i)/((-4)/(-102)) is divided by 13.
12
Let v(q) = -q**3 - 4*q**2 - q - 1. Let t(m) = 2 - m + 0 + 0*m. Calculate the remainder when t(-5) is divided by v(-4).
1
Let r = -45 - -55. What is the remainder when 77 is divided by r?
7
Suppose -19*a + 887 = -2476. Calculate the remainder when a is divided by 30.
27
Let s(p) = -2*p - 9. Let y be s(-7). Suppose 5*u + 0*u + y*l = 290, 20 = -4*l. What is the remainder when u is divided by 16?
15
Let p(r) = 2*r - 3. Calculate the remainder when 25 is divided by p(6).
7
Let i(q) = -q - 8. Let j be i(-7). Let f be 0*3/6*j. Suppose 0 = -5*t - 0*t + 2*s + 207, f = -t - 2*s + 39. Calculate the remainder when t is divided by 14.
13
Suppose 3*g = 8*g. Suppose -2*x = -2*p + 2, 5*p - 17 = -g*x + x. Calculate the remainder when p is divided by 2.
0
Suppose -127 = -3*y + 104. What is the remainder when y is divided by 20?
17
Let c = 33 - 24. Suppose -2*i - 2 = 0, i + 1 + 0 = 3*k. Suppose -3*f = -k - 15. What is the remainder when c is divided by f?
4
Let c(w) = w + 5. Suppose -5*u - 27 = t, -6*t + 12 = -2*t. Let b be c(u). Let v = 3 + b. Calculate the remainder when v is divided by 2.
0
Let u(c) = -c**2 + 8*c + 1. What is the remainder when 4/(4*(-3)/(-6)) is divided by u(8)?
0
Let c be 0*((-6)/(-4))/(-3). Let l = c + 4. Suppose l*u + 2 = 3*k, -4 = 3*u - 4*u. Calculate the remainder when 15 is divided by k.
3
Let p(u) = 21*u - 5. What is the remainder when p(2) is divided by 13?
11
Suppose v + p - 13 = 0, 4*v + p - 58 = -0*v. Calculate the rema