- 21. Let q be h(-11). Let l = -41 - -14. Let x = l + q. What is the remainder when x is divided by 10?
8
Suppose 140 = 14*y - 0*y. Calculate the remainder when 67 is divided by y.
7
Suppose -3*u = -0*u - 15. Let z(n) = -7*n - 9. What is the remainder when z(-4) is divided by u?
4
Suppose -5*u + 150 = 5*y, -2*u = y - 6*y - 32. Calculate the remainder when 205 is divided by u.
23
Suppose 0 = -5*t + 4 + 6. Suppose -4*q = 5*v - 220, -t*v - 3*q = 3*v - 220. What is the remainder when v is divided by 15?
14
Suppose -4*u - 54 = -p, u = -4*p - 89 + 339. Calculate the remainder when p is divided by 13.
10
Suppose -4*y = 3*d + 25 + 103, 113 = -3*d - y. Let s = d - -59. Calculate the remainder when 90 is divided by s.
21
Suppose 3*f = 8*f + 65. Let k = f + 23. Suppose 70 = 4*z - 6. Calculate the remainder when z is divided by k.
9
Suppose 56 = 2*n + 2*u, 2*n + 120 = 6*n - 4*u. What is the remainder when n is divided by 5?
4
Let a(c) = -c**3 - 6*c**2 - 6*c + 1. Let i be a(-5). Let z = 17 - i. What is the remainder when 19 is divided by z?
8
Let b(p) be the second derivative of 5*p**3/6 - 15*p**2/2 - 2*p. Calculate the remainder when 58 is divided by b(7).
18
Suppose -2 = n - 0. Let x = 8 + n. Calculate the remainder when 22 is divided by x.
4
Let u = -6 + 1. Suppose 3*f = q + 6, -7 + 31 = 2*q + 3*f. What is the remainder when (u/10)/(1/(-46)) is divided by q?
5
Let c(t) = t**3 + 10*t**2 + 8. What is the remainder when 30 is divided by c(-10)?
6
Suppose 4*d - 448 + 152 = 0. Calculate the remainder when d is divided by 19.
17
Suppose -3*x = -2*g - 2*g - 3, 3*x = 15. Suppose -2*u + g*u - 29 = 0. Calculate the remainder when u is divided by 10.
9
Let f = 10 + 11. Let k be 52/(-5) + 4/10. Let u = k + f. Calculate the remainder when 31 is divided by u.
9
Let h = 70 - 32. Calculate the remainder when h is divided by 20.
18
Suppose -5*k - 32 + 82 = 0. Suppose -2*v + 14 = -k. Suppose -f + 5*f = -3*n + 97, -4*n + 144 = -2*f. Calculate the remainder when n is divided by v.
11
Let m(l) = -l**2 + 14*l - 7. Calculate the remainder when m(8) is divided by 11.
8
Let x(u) = 7*u - 6. Calculate the remainder when 57 is divided by x(3).
12
Let z = 10 + -1. Calculate the remainder when 24 is divided by z.
6
Let l(u) = u**3 - 15*u**2 + 3*u + 5. What is the remainder when 96 is divided by l(15)?
46
Let z(g) = -g + 7. Let f be z(-4). Suppose 0 = 4*c + f - 39. Calculate the remainder when 27 is divided by c.
6
Let p be (-1)/2*2*-2. Suppose c = -3*d + 8, -7*c + 12 = 5*d - 5*c. What is the remainder when d is divided by (-3)/(-2) + p/4?
0
Suppose -3*k + 4*w = -90, 5*k - 150 = -3*w - 0*w. Let b(z) = z**2 - 25*z - 46. Calculate the remainder when k is divided by b(27).
6
Let b = -4 - 0. Let x = b + 51. Suppose 3*s = 4*n + 68, -4*s + 2*s - 5*n = -7. Calculate the remainder when x is divided by s.
15
Let x(g) = 4*g**3 - 2*g**2 + 2*g. Let w be x(1). Suppose 0 = w*i - i - 255. What is the remainder when i is divided by 29?
27
Calculate the remainder when (-2490)/(-50) + 3*(-1)/(-15) is divided by 27.
23
Suppose -3*w = -5*p + 2*w + 50, 0 = -4*p + 3*w + 35. What is the remainder when 18 is divided by p?
3
Suppose 2*a - a = -4*o + 31, -5*a = -o + 34. Let n = 28 + -8. What is the remainder when o is divided by (-1 - -3)*n/8?
4
Suppose -9*s - 630 = -3*s. What is the remainder when (24/(-30))/(2/s) is divided by 15?
12
Suppose 0 = -4*u + 2*u - 2. Calculate the remainder when u/(0 + (-3)/138) is divided by 16.
14
Let x(v) be the first derivative of v**3/3 + 5*v**2/2 + 4*v + 3. Let u be x(-6). Suppose 0 = 2*f - f - u. What is the remainder when f is divided by 4?
2
Let x = 35 - -27. What is the remainder when x is divided by 32?
30
Suppose 0 = -5*v - 5*i + 340, -5*v - 2*i = -2*v - 206. Calculate the remainder when v is divided by 19.
13
What is the remainder when (-4)/(-5) - (-828)/15 is divided by 19?
18
Let f(j) = j**3 + 4*j**2 + j + 2. Suppose 0 = -o - 2*o + 4*q + 4, 3*o - 39 = -3*q. Let y = 5 - o. What is the remainder when f(y) is divided by 3?
2
Suppose 0 = 3*v + 4*u - 165, 2*v + 66 = 3*v + 5*u. What is the remainder when v is divided by 13?
12
Suppose 2*w = 4, 0 = v + 4*w + 7 - 19. Suppose -141 = -5*n - s, -v*n + 3*s = -116 + 7. Let y(k) = -3*k - 3. What is the remainder when n is divided by y(-6)?
13
Let j = 21 + -6. Suppose -2*i - 4 = -3*c - 53, -2*i - c = -61. What is the remainder when i is divided by j?
14
Let l(n) = -3*n - 12. Calculate the remainder when 56 is divided by l(-11).
14
Let x(s) = -4*s + 1. Let w be x(-1). Suppose -2*i = -2*f + 74, -w*i = 3*f - 5 - 114. Calculate the remainder when f is divided by 13.
12
Let q(j) = j**3 - 7*j**2 - 9*j + 5. Suppose 51 = 4*a + 19. Let g be q(a). Calculate the remainder when 14 is divided by (0 + -1)/(g/24).
6
Let q = -13 - -18. Suppose 5*f - 43 = -5*b + b, -q*f = 25. Calculate the remainder when 32 is divided by b.
15
Let a = 58 - 32. Suppose 5 = z - 4. What is the remainder when a is divided by z?
8
Suppose x = 4 - 1. Suppose 0 = -3*b - k + 31, 4*b + 2*k = x*k + 32. Calculate the remainder when b is divided by 6.
3
Let s = -13 - 15. Let o be 1*3/2*s. Let d = o + 64. What is the remainder when d is divided by 12?
10
Suppose 0*v = -2*v + 14. Let f = 0 + v. Calculate the remainder when 13 is divided by f.
6
Suppose 2*v - 17 = -5*d - 2*v, 2*d + 5*v = 17. What is the remainder when 6 is divided by d?
0
Calculate the remainder when 44 is divided by 6*4/18*12.
12
Let n(o) = 2*o**2 - 3*o + 2. Let h = 4 - 3. Suppose -2*k = -h - 19. What is the remainder when n(-3) is divided by k?
9
Suppose 2*n + 5*s = 24, -n - 2*s = -5 - 5. What is the remainder when 3 is divided by n?
1
Let f = -9 + 19. Let y = -25 + 44. Calculate the remainder when y is divided by f.
9
Suppose z - 2*g = -z + 8, -24 = -5*z + 3*g. Suppose 4 - z = 2*s. Let l(j) = -9*j**3 + j**2 - 1. What is the remainder when 26 is divided by l(s)?
8
What is the remainder when (-672)/20*20/(-6) is divided by 19?
17
Let a = 0 + 1. Suppose -2*q + a + 12 = 3*p, 4*p = -q - 1. Suppose 8 = l - q. Calculate the remainder when 37 is divided by l.
18
Let s = 39 - 22. Calculate the remainder when s is divided by 4.
1
Let d be (-6 - (0 + -3))*1. Let o = -4 - d. What is the remainder when (o - 2) + 73 + -2 is divided by 23?
22
Let p(f) = 10*f**2 + 2*f + 3. Let q be p(-2). Suppose -5*t = -q - 76. Calculate the remainder when 43 is divided by t.
20
Let z = 28 - -15. Calculate the remainder when z is divided by 15.
13
Let q(d) be the third derivative of d**5/60 + d**4/24 + d**3/3 + 2*d**2. Let n be q(-2). Suppose -n*h + 8 = -48. What is the remainder when h is divided by 8?
6
Suppose 0 = 5*g - 492 + 167. Calculate the remainder when g is divided by 17.
14
Suppose 4*w - 2*w = 22. Calculate the remainder when 19 is divided by w.
8
Let c be 206/(-10) + 4/(-10). Let b = 43 + c. Let y = 195 + -130. What is the remainder when y is divided by b?
21
Let f(t) = 5*t**3 - 2*t**2 + 1. Let l be f(-1). Let i = l + 11. Let h = i - 3. What is the remainder when h is divided by 1?
0
Let w(v) = 10*v + 1. What is the remainder when w(5) is divided by 18?
15
Suppose 448 = 2*b + 4*w, -w - 2*w - 12 = 0. What is the remainder when b is divided by 39?
37
Let o = 11 - 2. Let m(h) = o - 6*h + h + 4*h + 0*h. Calculate the remainder when 4 is divided by m(7).
0
Let t = -6 - -11. Let v = 277 + -274. Calculate the remainder when t is divided by v.
2
Suppose 5*j - 2*j = 2*w - 249, 3*j = -w + 120. What is the remainder when w is divided by 18?
15
Suppose 59 = 5*b - 11. Let h = b + 6. What is the remainder when 38 is divided by h?
18
Let i(v) = 2*v**2 - 6. What is the remainder when i(3) is divided by 7?
5
Let s(i) = i**2 - 4*i - 2. Let b(a) = a**3 + 7*a**2 - a + 1. Let k be (10/(-8))/(2/8). Calculate the remainder when b(k) is divided by s(-3).
18
Suppose k = -k + 52. Calculate the remainder when k is divided by ((-1)/(-3) - 1)*-21.
12
Let h(d) = d**2 + 7*d + 5. What is the remainder when h(-9) is divided by 6?
5
Let w = 32 + -35. Let m(d) = 1 - 1 + 2 + 3*d**2. What is the remainder when m(w) is divided by 10?
9
Let i(d) = 3*d - 21. What is the remainder when i(12) is divided by 4?
3
Let d(x) = -x**3 - 2*x**2 + 1. Suppose -2*v + 22 = 10. Calculate the remainder when d(-3) is divided by v.
4
Let a(h) = 3*h + 7. Let s(y) = y. Let g be 7/(