. Calculate the remainder when f is divided by 6.
4
Suppose -4*l = -l - t + 1, -6 = -2*l + 2*t. Let k = 6 + l. Let q(i) = -i**3 + 4*i**2 - 3*i. Calculate the remainder when k is divided by q(2).
0
Calculate the remainder when 27 is divided by 66/12 - (-1)/(-2).
2
Let z = -70 + 79. Calculate the remainder when z is divided by 6.
3
Let t(b) = -14*b - 1. Let l = -2 + -1. Calculate the remainder when t(-1) is divided by l*1*-2 + 1.
6
Let a(l) = -25*l - 1. Let d be a(-3). Suppose -4*w + v = -82, 4*w - d = -6*v + 3*v. Calculate the remainder when 58 is divided by w.
18
Let g = 154 - 125. What is the remainder when g is divided by 17?
12
Suppose 0 = -5*a + a - 32. Let d = 4 - a. Suppose 6*y = 122 + 88. What is the remainder when y is divided by d?
11
Suppose -s - 1 = -k, -2 = k - 3*s - 1. Let d = -9 + 33. Suppose -d = -k*p - p. What is the remainder when 14 is divided by p?
6
Let c(m) = -2*m - 4. What is the remainder when 53 is divided by c(-9)?
11
Suppose 0*h - 2*h + 112 = 0. Suppose h = -0*d + d. Suppose -4*z - 22 = 2*a - d, 4*z = 2*a + 30. What is the remainder when 22 is divided by z?
6
Suppose -3*u = -1 - 14. Suppose u*s - 57 = 18. Suppose 0 = -9*b + 5*b + 116. Calculate the remainder when b is divided by s.
14
Suppose 0 = x - 0*x + 2*o, x + 2 = -3*o. Let p(s) = 3*s**2 - 4*s - 3. What is the remainder when p(x) is divided by (-8)/(-1)*(-45)/(-36)?
9
Let v = -17 - -34. Calculate the remainder when v is divided by 5.
2
Suppose 0 = z + 5*t + 7, -3*t = z - 1 - 0. Let m = 58 + z. What is the remainder when m is divided by 18?
17
Let g(d) = 8*d + d**3 - 7*d**2 + 7*d**2 + 8*d**2. What is the remainder when 45 is divided by g(-6)?
21
Let j(q) = 7*q + 1. Suppose -z + 4*z - 9 = 0. Calculate the remainder when 63 is divided by j(z).
19
Suppose 478 = 5*r - 372. Calculate the remainder when r is divided by 43.
41
Let t(x) = 6*x**2 + 1. Let u be (-8)/(-5) + (-4)/(-10). Suppose -6*g = -0*g - 78. What is the remainder when t(u) is divided by g?
12
Let z = -20 - -57. What is the remainder when z is divided by 19?
18
Let p(k) be the third derivative of -k**5/60 - 5*k**4/24 + k**3/6 + k**2. Suppose -4*f + 16 = -8*f. What is the remainder when 14 is divided by p(f)?
4
Let l = 3 + 0. Let r = 13 + -6. What is the remainder when 12 is divided by (r/(l/3))/1?
5
Let s = -22 + 74. Suppose 0 = -r + 5, 2*r - 7 = -x + r. Let q(h) = 10*h - 2. What is the remainder when s is divided by q(x)?
16
Suppose f - u + 33 = 4*f, 4*u = -4*f + 44. Calculate the remainder when 32 is divided by f.
10
Suppose 25 = 2*f + 3*d, 12 + 14 = 4*f - 2*d. Let q(v) = -v + 2. Let j be q(4). Calculate the remainder when (1*7)/((-1)/j) is divided by f.
6
Let j be 27/4 + 2/8. Suppose 3 = 2*p - j. Suppose 2*z = 4*z + 8, -17 = -3*r - z. What is the remainder when r is divided by p?
2
Let p = -158 - -263. What is the remainder when p is divided by 27?
24
Suppose 3*z = 12, -v + z + 8 = 1. What is the remainder when 54 is divided by v?
10
Let z = -11 - -24. What is the remainder when (-2 + 1)*-1 + 23 is divided by z?
11
Let m be -1*-1*6/2. Suppose 2*h - 48 = -0*r + 4*r, 4*h - 76 = m*r. Calculate the remainder when 28 is divided by h.
12
Let x = 16 - -1. Calculate the remainder when 49 is divided by x.
15
Suppose -16 - 21 = -3*c + 2*t, 5*c + t - 79 = 0. Calculate the remainder when 74 is divided by c.
14
Let w(i) = 3*i**2 - i + 1. Let o be w(1). Suppose 0 = -f - 4*q + 15, 5*f + o*q - 4*q = 33. Suppose 0*l - 13 = -l. What is the remainder when l is divided by f?
6
Let k = -2 + 7. What is the remainder when ((-36)/10)/((-1)/k) is divided by 7?
4
Suppose 162*r - 163*r = -33. Calculate the remainder when 163 is divided by r.
31
Let t(m) = m**3 + 8*m**2 - 21*m + 5. What is the remainder when t(-10) is divided by 8?
7
What is the remainder when (-1 + 4 - -20)*3 is divided by 18?
15
Calculate the remainder when 53 + (0 + 1 - 3) is divided by 19.
13
Let c = -8 - -18. Calculate the remainder when 74/4 - 2/4 is divided by c.
8
Suppose 0 = -2*v + 10, 13 = -b + 2*v + 3. Let f = -12 + 30. Calculate the remainder when f is divided by (-10)/(-1 + 0 + b).
8
Let b = 8 + -6. Let w be ((-6)/b)/(-6 + 5). Suppose -w = 3*t - 18, 5*d = 3*t + 50. Calculate the remainder when d is divided by 7.
6
Let t(o) = -o + 6. What is the remainder when 36 is divided by t(-7)?
10
Let r(c) = c**3 + 2*c**2 - 3*c - 2. Let o = 39 - 28. What is the remainder when o is divided by r(-2)?
3
Let o be -1 - (-4*1 + 3). Suppose 2*q - 42 = -o*q. Suppose 0 = -3*p + 5*p - 82. Calculate the remainder when p is divided by q.
20
Let u = -155 + 208. Calculate the remainder when u is divided by 12.
5
Let n(i) = -2*i**2 + 3*i - 5. Let w be n(5). Let f = -26 - w. Calculate the remainder when 53 is divided by f.
11
Let m(c) = 20*c**2 - 1. What is the remainder when m(-2) is divided by 16?
15
Suppose 0 = -3*f + 8 + 40. Calculate the remainder when 47 is divided by f.
15
Let f = 68 - 36. Calculate the remainder when f is divided by 7.
4
Suppose c - 17 = 3*o + 50, -2*c - 2*o + 118 = 0. Calculate the remainder when c is divided by 21.
19
Suppose -3*m + 13 = p, -p - 20 = -6*p. What is the remainder when 90 is divided by 22 + 1 - (m + -3)?
21
Let d(i) = i**3 + i**2 + 3*i + 19. What is the remainder when d(0) is divided by 7?
5
Suppose -4*g = r - 52, -2*g + 2*r = -3*r - 26. Suppose -4 = -b + 21. What is the remainder when b is divided by g?
12
Let f(c) = 3*c**2 - 14*c + 25. What is the remainder when f(9) is divided by 29?
26
Let k = -2 + 18. Let q(f) = f**3 + 22*f**2 - 4*f - 11. Calculate the remainder when q(-22) is divided by k.
13
Let b(n) = n - 2. Let r be b(-3). What is the remainder when (2/r)/((-1)/60) is divided by 13?
11
Let y be 136/36 - (-2)/9. Suppose 4*l = -4 - 0. Let w = l + y. What is the remainder when 8 is divided by w?
2
Let d = 22 + 8. What is the remainder when d is divided by 22?
8
Let l be 10/70 - (-152)/14. Suppose -6*q + l*q - 510 = 0. Calculate the remainder when q is divided by 26.
24
Suppose 2*d + 6 + 16 = 0. Let c = 3 - d. Calculate the remainder when 40 is divided by c.
12
Let m be (-1827)/(-27) - (-1)/3. Suppose -4*l + 8 = -m. What is the remainder when l is divided by 5?
4
Let y(x) = -4*x**2 - 2*x + 5. Calculate the remainder when 21 is divided by y(0).
1
Let h(u) = 175*u**2 + u. Let m be h(-1). Suppose -5*o = m - 739. What is the remainder when o is divided by 29?
26
Suppose 5*r + 15 - 70 = 0. What is the remainder when r is divided by ((-1)/(-2))/(3/36)?
5
Let j = 14 - -5. Let g = -9 + j. Suppose 2*b - 12 = 2*x, -2*b + 4*x + 0*x + 12 = 0. What is the remainder when g is divided by b?
4
Let w be ((-2)/(-6))/((-2)/(-18)). Let f be -20 - (1 - w)/(-2). Calculate the remainder when (1 + -2)*-2 - f is divided by 12.
11
Calculate the remainder when ((-4)/(-12))/((-4)/(-984)) is divided by 21.
19
Suppose y + 3*v + 5 = 0, 4*y = -y - 3*v + 35. What is the remainder when 25 is divided by y?
5
Let r(c) be the second derivative of 0 + 0*c**3 + 0*c**2 - c + 17/6*c**4. What is the remainder when r(1) is divided by 18?
16
Let m(u) = 5*u**2 + 4*u - 7. Let y be (-82)/(-26) + 16/(-104). Calculate the remainder when m(y) is divided by 18.
14
Let z be 128 - (-1*2)/2. Suppose 0 = 3*t - z - 9. Calculate the remainder when t is divided by -1 - (3 + 1*-16).
10
Let p(o) = 18*o - 7. Calculate the remainder when p(5) is divided by 21.
20
Let c(s) = s**2 + 7*s - 11. Let w be c(-8). Let f = w + 10. What is the remainder when 20 is divided by f?
6
Calculate the remainder when 183 is divided by (-33)/9 + (-2)/6 - -35.
28
Let y(p) = 2*p - 4. Let j be y(3). Let o(l) = j*l + l + 36 - 2*l. Calculate the remainder when o(0) is divided by 19.
17
Calculate the remainder when (-17)/(-2) - ((-36)/8 + 6) is divided by 3.
1
Let f = -4 + 7. Let d(z) = -2*z - 6. Calculate the remainder when d(-6) is divided by f.
0
Let q = -32 - -54. Let t be (0 - -1) + -3 + 16. Let p = t - 2. Calculate the remainder when q is divided by p.
10
Let n = 21 + 14. Suppose -v - 4*v = -60. Suppose -2*w = -3*w + v. Calculate the remainder when n is divided by w.
11
Suppose -2*s - 4 - 7 = -5*x, -s + 32 = 5*x. Calculate the remainder when 26 is divided by s.
5
Let k = -8 - -3. Let g = 12 + k. What is the remainder when 25 is divided by g?
4
Let t be 0 + 0 + (-2 - -4). Suppose -t*h = w - 6*w + 61, -3*w = -5