- 3*c + 2. Suppose 9 = -2*k + 3*u + 2*u, k + u - 6 = 0. Suppose 0*s - 4*s + 40 = 0. Calculate the remainder when b(k) is divided by s.
9
Suppose -2*n + 69 = n + 5*f, 3*f = -4*n + 92. What is the remainder when 41 is divided by n?
18
Suppose -196 = 2*j + 5*w, -3*j - 392 = j - 5*w. What is the remainder when 30 is divided by 4/(-12) + j/(-6)?
14
Let q = 105 - 89. Calculate the remainder when 27 is divided by q.
11
Let r(y) be the third derivative of -2*y**6/15 - y**5/30 - y**4/12 - y**3/6 + 4*y**2. What is the remainder when r(-1) is divided by 8?
7
Let w = -21 - -43. Suppose j = -j + w. What is the remainder when j is divided by 6?
5
Let h(k) = -k**3 + 10*k**2 + 9*k + 9. Calculate the remainder when h(10) is divided by 17.
14
Suppose 8*r - 4*r = 28. Suppose 0 = 5*s - 13 - r. Suppose -3*o + s*o = 7. What is the remainder when o is divided by 3?
1
Suppose -3*q = -9 - 18. Suppose -q = -4*v + w - 1, 2*w + 8 = 0. What is the remainder when v is divided by 1?
0
Suppose 30 = 2*a - 2*b, 0 = -3*a - b + 5 + 44. Calculate the remainder when (a/24)/((-1)/(-36)) is divided by 13.
11
Suppose -5*c = -20, -64 = -4*i + 2*c + 32. Calculate the remainder when 49 is divided by i.
23
Let j = -47 - -109. Calculate the remainder when j is divided by 21.
20
Let y(v) = v**2 + 15. Let k be y(0). Let n = k + -12. Calculate the remainder when 5 is divided by n.
2
Let u(o) = o**2 - 9*o + 16. Calculate the remainder when u(8) is divided by 6.
2
Let c = 118 - 66. Calculate the remainder when c is divided by 27.
25
Suppose 3*i = -2*w + 145, 4*w = -5*i + 2*i + 155. Calculate the remainder when i is divided by 24.
21
Suppose -2*v = v - 27. Suppose v = -x + 27. What is the remainder when x is divided by 2/6 - (-58)/6?
8
Let r(b) = 0*b**3 - 5*b**2 - 6*b**2 - b**3 + 10 + 7*b + 3*b**2. What is the remainder when r(-9) is divided by 10?
8
Let d = 16 - -2. Let b be 3 - (-1 + 1 + 0). Suppose b*a - a = 104. What is the remainder when a is divided by d?
16
Suppose 0 = -0*k - 4*k + 24. Let p(r) = r**3 - r**2 - r + 17. Suppose 2*g + 2*g = 0. What is the remainder when p(g) is divided by k?
5
Let o(v) be the third derivative of -v**5/20 + v**4/6 - v**3/2 + 3*v**2. Let n be o(3). Calculate the remainder when 45 is divided by 348/22 - n/99.
13
Let l(b) be the second derivative of b**5/20 + 2*b**4/3 + b**3/6 + 4*b**2 + b. Calculate the remainder when l(-7) is divided by 17.
16
Let w = 1 + -2. Let h = -2 + w. What is the remainder when ((-46)/(-6))/((-1)/h) is divided by 8?
7
Let b be 3/1 - (-3 + 1). Let g = 2 + b. What is the remainder when 25 is divided by g?
4
Let g(o) = o**2 - 12*o - 4. Calculate the remainder when 15 is divided by g(13).
6
Let b(k) = k**2 + 2. Suppose -35 = -3*d - 8. Suppose 0 = -2*u + 5*u - d. Calculate the remainder when u is divided by b(0).
1
Suppose c = -3*i - 41, 0 = -i - 2*c - 2*c - 10. What is the remainder when i/(-4)*(2 + 8) is divided by 9?
8
Suppose w + 106 = 3*w. What is the remainder when w is divided by 19?
15
Suppose 3*f - 79 = p, 4*f + 0*f = -2*p + 102. What is the remainder when f is divided by 15?
11
Let h = -101 - -112. Calculate the remainder when h is divided by 2.
1
Suppose 13*q - 15*q + 96 = 0. Let g(j) = j**3 + 5*j**2 - 5*j. What is the remainder when q is divided by g(-5)?
23
Let g be ((-6)/(-4) + 1)*2. Suppose 0 = -g*x + 44 + 51. What is the remainder when 36 is divided by x?
17
Suppose 0 = 4*y - 3*y - 3. Let f = -4 + y. Let q(w) = 14*w**2 + w. Calculate the remainder when q(f) is divided by 5.
3
Let o be 8/12 + (-7)/(-3). Suppose o*z = -z. Let k = z - -8. What is the remainder when k is divided by 5?
3
Let g = 106 + -73. Let r(b) = b**2 - 11*b + 7. What is the remainder when g is divided by r(11)?
5
Let n = 6 + -3. Let w(o) = o + 3. What is the remainder when 17 is divided by w(n)?
5
Suppose -3*y + y = -20. What is the remainder when y is divided by (18/(-15))/((-2)/5)?
1
Let u(x) = 2*x**3 + 25*x**2 - 16*x - 24. Let i(p) = p**3 + 13*p**2 - 8*p - 12. Let j(b) = 11*i(b) - 6*u(b). Calculate the remainder when j(-9) is divided by 26.
24
Suppose 0 = -2*w + 3*a + 95, -2*a = -2*w - 0*a + 96. Calculate the remainder when w is divided by 13.
10
Let i = -6 - -11. Suppose k + 4 = i*p, -34 = -5*k + 3*k - 4*p. Suppose 2*b = 2*d - 66, -3*b + 2*b + 159 = 5*d. Calculate the remainder when d is divided by k.
10
Suppose 0 = 4*w - 20, 5 = -4*i + 4*w + 617. Calculate the remainder when i is divided by 10.
8
Suppose -n - 4*y - 4 + 0 = 0, -8 = 4*y. Suppose -w + 6 = -n. Suppose 55 = -5*i + 200. Calculate the remainder when i is divided by w.
9
Let u = -82 - -118. What is the remainder when 142 is divided by u?
34
Let z = -1 + 12. What is the remainder when 31 is divided by z?
9
Let x(i) = 2*i + 2. Let f be x(2). Let t = f + -4. Suppose -3 = t*q - 9. Calculate the remainder when q is divided by 2.
1
Let s = -5 - -15. Calculate the remainder when 35 is divided by s.
5
Suppose 0 = -5*j + 10*j - 20. What is the remainder when 10 is divided by j?
2
Let o(n) = 11*n + 13. Calculate the remainder when o(6) is divided by 27.
25
Let f = 295 - 156. Suppose 8 = 4*z - n - 5, 0 = -3*z - 2*n + 7. Suppose -z*m = 31 - f. Calculate the remainder when m is divided by 19.
17
Let z = -5 + 9. Suppose 0 = z*g - 12 - 0. Suppose 5*p + 2*l - 8 = -2, p + 4 = -g*l. What is the remainder when 5 is divided by p?
1
Let i(n) = -8*n**3 - 1. Suppose 0*r - 2 = 2*r. What is the remainder when (114/9)/(4/6) is divided by i(r)?
5
Suppose 2*h - 3*b = 57, b - 53 = h - 3*h. Calculate the remainder when h is divided by 5.
2
Let q = 21 + -15. Calculate the remainder when 29 is divided by q.
5
Let o = -3 + 6. Suppose -o*s + 44 = s. Let l = -393 - -414. What is the remainder when l is divided by s?
10
Let t(r) be the third derivative of -r**6/10 + r**5/30 + r**4/24 - 2*r**2. What is the remainder when t(-1) is divided by 7?
6
Let t(j) be the first derivative of -5*j**2/2 - 11*j - 6. Calculate the remainder when t(-5) is divided by 6.
2
Suppose -3*z - 4 = -10, -59 = -3*l + 5*z. Let u(s) = -s**3 + 3*s**2 + 2*s + 2. Calculate the remainder when l is divided by u(3).
7
Suppose -104 = -3*h + v, -4 - 6 = 2*v. Calculate the remainder when 230 is divided by h.
32
Let a = -431 - -434. Let n = 13 + -2. Calculate the remainder when n is divided by a.
2
Let i(s) = 2*s**2 - 9*s - 29. Calculate the remainder when i(-8) is divided by 43.
42
Let z be ((-2)/2)/((-2)/(-62)). Let q = z - -43. Let r(d) = -17*d + 1. Calculate the remainder when r(-2) is divided by q.
11
Let j(w) = -88*w - 1. Suppose -2*v = 2*v + 16. Let i be j(v). Calculate the remainder when i/21 - (-4)/14 is divided by 6.
5
Let i be (-6)/18 + (-5)/3. Calculate the remainder when 62 is divided by 5/(5/i) - -23.
20
Let f = -46 + 50. Let k(q) = 2*q + q**2 - 5 - 2*q. Calculate the remainder when 31 is divided by k(f).
9
Suppose 5*u - 42 - 3 = 0. What is the remainder when 26 is divided by u?
8
Let s(m) = 7*m**2 - 5*m - 5. What is the remainder when s(-1) is divided by 2?
1
Calculate the remainder when 1166/44 - (1/2)/(-1) is divided by 14/(-12)*-4*3.
13
Let z = -18 - -30. Let x = -4 - -1. What is the remainder when -23*(x + 0 + 2) is divided by z?
11
Let t = -2 - -1. Let b be (-1*(-1 + 2))/t. Calculate the remainder when 17 is divided by ((-27)/(3*-1))/b.
8
Suppose a + 11 = 19. Suppose -d - 3*d = -56. Calculate the remainder when a is divided by d/(-49) - 37/(-7).
3
Suppose 5*b + 2*m - 33 - 45 = 0, 3*m - 12 = 0. Suppose 4*u + 3*x = 166, 3*x - 2*x - 2 = 0. Calculate the remainder when u is divided by b.
12
Suppose 0*u = 2*u - 20. Calculate the remainder when 28 is divided by u.
8
Let d(w) = w - 1. Calculate the remainder when d(4) is divided by 2.
1
Let n(x) = x**2 - 4*x - 2. Let t be n(5). Suppose -2*a - 6 = -2*p - 4*a, -t*p + 3*a = -39. What is the remainder when 1530/105 + 3/7 is divided by p?
7
Let p = 6 + 51. Calculate the remainder when p is divided by 30.
27
Suppose 2*l - 6*v - 88 = -v, 2 = -v. Let c = 2 + l. What is the remainder when c is divided by 11?
8
Let c(y) be the first derivative of 3*y**2/2 - 8*y + 3. Calculate the remainder when 29 is divided by c(8).
13
Let g(o) be the first derivative of 2*o**3/3 - 5*o**2/2 - 5*o + 2. What is the remainder when g(6) is divided by 10?
7
Suppose 4*v + j + 327 = -46, 0 = -5*v + 2*j - 463. Calculate the remainder