ulate the remainder when 13 is divided by w.
6
Let c(v) = -5*v + 3*v - 2*v. Calculate the remainder when c(-6) is divided by 13.
11
Let i be (-1)/(-2 - -1) - -25. Suppose 3 = k, 35 = 5*n - 3*k - i. What is the remainder when 39 is divided by n?
11
Suppose -21*r = -2457 - 903. What is the remainder when r is divided by 41?
37
Suppose -7*u + 248 + 165 = 0. Calculate the remainder when u is divided by 19.
2
Let j(h) = -h**3 + 6*h**2 + 10*h - 15. What is the remainder when 52 is divided by j(7)?
4
Suppose -2*j - 46 = 4*i - 18, -5*j = 3*i + 35. What is the remainder when j/6 - (-106)/6 is divided by 10?
7
Let b(n) = n**3 + 5*n**2 + 3*n - 2. Let h be b(-4). What is the remainder when 33 is divided by 125/10 - 1/h?
9
Let f(h) = -13*h**2 - 4*h - 7. Let b(c) = 12*c**2 + 3*c + 6. Let d(a) = 7*b(a) + 6*f(a). What is the remainder when 33 is divided by d(2)?
15
Let z(c) be the third derivative of c**4/4 + c**3/6 - c**2. What is the remainder when 12 is divided by z(1)?
5
Let i = 61 - 42. Suppose -b = -9 + 1. Let d = -1 + b. What is the remainder when i is divided by d?
5
Suppose -4*p + h = 2*h - 32, -24 = -3*p - 4*h. Suppose -p*a + 3*a = -15. Calculate the remainder when a is divided by 1.
0
Suppose -2*k + 717 - 51 = 5*n, 2*k + 138 = n. What is the remainder when n is divided by 27?
26
Let f(c) = -c**3 + 6*c**2 - 5*c - 7. Calculate the remainder when 17 is divided by f(4).
2
Suppose 0 = -3*v - 2*b + 23, 4*v - 5*b - 8 = -2*b. Let h = v + 6. Calculate the remainder when h is divided by 6.
5
Let o(p) = 12*p - 6. Let t(x) = 13*x - 7. Let c(w) = -5*o(w) + 4*t(w). What is the remainder when c(-6) is divided by 13?
11
Suppose 2*o - 2*q - 230 = 0, -2*o - q = o - 341. What is the remainder when o is divided by 29?
27
Let h be (6/(-4))/((-3)/52). Let w(k) = -k**3 + k**2 + 3*k + 3. Calculate the remainder when h*1 + 0/(-3) is divided by w(-2).
8
Let q be ((-2)/(-6))/(1/6). Let u be 11 + q + 0 - 3. Suppose 5*l + 5*d - u = 0, -4*l - 2*d = -5*d - 15. What is the remainder when l is divided by 3?
0
Let g(t) = -10*t - 16. Let a = -9 + -2. What is the remainder when g(a) is divided by 24?
22
Suppose -12 = -2*l - 2. Calculate the remainder when 11 is divided by l.
1
Suppose -w - 3 = -5. What is the remainder when 0 + w + (2 - -47) is divided by 27?
24
Let k(l) be the first derivative of -3*l**2/2 + 2*l - 6. Calculate the remainder when 68 is divided by k(-4).
12
Let w(g) = -g**3 - 8*g**2 + 6*g + 21. Calculate the remainder when w(-9) is divided by 13.
9
Let q(h) be the first derivative of h**2 - 13*h + 3. What is the remainder when 19 is divided by q(10)?
5
Let l = -126 - -185. Calculate the remainder when l is divided by 31.
28
Let n(f) = -f**3 - 6*f**2 - 19*f - 4. What is the remainder when 145 is divided by n(-4)?
25
Let v be (18/3)/((-2)/(-1)). Suppose -5*w = -10, v*f - 2*w = -0*w + 23. What is the remainder when 25 is divided by f?
7
What is the remainder when 18 is divided by (-25)/(-5) + 0/2?
3
Let h = -57 + 134. Calculate the remainder when h is divided by 27.
23
Let m = 78 - 34. Suppose 4*r - m = -0*r. Calculate the remainder when 20 is divided by r.
9
Suppose -i - 78 = -5*s, -5*s + 0*i = 3*i - 66. Calculate the remainder when 28 is divided by s.
13
Suppose 21 = d + 8. Suppose 0*m - 2*m = -10. What is the remainder when d is divided by m?
3
Suppose 2*t + 3*t = 75. Let g(j) = -j + j**2 + 2*j - 9 - 3*j. What is the remainder when t is divided by g(5)?
3
Let f = 123 - 93. What is the remainder when f is divided by 17?
13
Suppose -28 = -4*q - 2*b, 1 = -q - 3*b - 2. Let x = -56 - -142. Let z = x - 61. Calculate the remainder when z is divided by q.
7
Suppose -80 = -5*w - c, -2*w - 2*c + 22 + 18 = 0. Calculate the remainder when 50 is divided by w.
5
Let u(w) be the third derivative of w**5/60 + 7*w**4/24 + w**3/2 - 2*w**2. Calculate the remainder when 6 is divided by u(-7).
0
Let n(p) = 11*p. Let t be n(-1). Let r = 19 - 1. Let u = t + r. Calculate the remainder when u is divided by 3.
1
Let y(l) = 4 - 2 + l**2 - 3. Let p be (-2)/(-2*4/(-20)). Calculate the remainder when 46 is divided by y(p).
22
Suppose 15 = -4*p + 5*c + 45, -3*c = 5*p - 19. What is the remainder when 5 is divided by p?
0
Suppose 0 = 3*f - 3, 0*f = -2*d - f + 7. Let l = -2 + d. Let o(b) = 5*b**2 - b. What is the remainder when o(l) is divided by 2?
0
Suppose -85 = 8*t - 629. What is the remainder when t is divided by 10?
8
Let x(v) = 60*v**3 - v + 1. Let c be -1*(-1)/(-3 + 4). What is the remainder when x(c) is divided by 21?
18
Suppose 0 = 5*s - 0*s - 35. Let i = -2 - -2. Suppose 3*a + 4*z + 14 = i, 2*a + z = s*a - 15. What is the remainder when a is divided by 1?
0
Let q(w) = -w**3 + 22*w**2 + 22*w + 40. Calculate the remainder when 65 is divided by q(23).
14
Let c(i) = i**2 - 15*i + 37. What is the remainder when c(15) is divided by 10?
7
Suppose 0 = -4*m + 2*x - 5*x + 28, -x = 5*m - 35. What is the remainder when 32 is divided by m?
4
Let f be (-5 - -6) + 10/2. Suppose -c - 21 = -3*w - w, f = -w - 2*c. What is the remainder when w is divided by 2?
0
Suppose 84 = 2*h + 3*r, -2*h - 2*r + 80 = 2*r. Calculate the remainder when h is divided by 17.
14
Let k(i) = -1 - 6 + i + 0 + 9*i - i**2. Let o(t) = t**2 + 3*t - 7. Calculate the remainder when o(5) is divided by k(6).
16
Suppose 0 = -2*l + 8, -31 = w - 2*w - 2*l. Suppose 0*b - 455 = -5*b. What is the remainder when b is divided by w?
22
Let s(k) = k**2 + k + 4. Let i be s(0). Suppose -15 = j - i*j. Suppose -5*g = 5 - 25. Calculate the remainder when j is divided by g.
1
Suppose -4 + 0 = 2*m. Let q = m - -3. Calculate the remainder when q is divided by 1.
0
Suppose -110*u + 109*u = -7. What is the remainder when 12 is divided by u?
5
Let l(y) be the second derivative of y**3/3 - 3*y**2 - 5*y. What is the remainder when 21 is divided by l(9)?
9
Let q(y) = -y**2 + 5*y - 4. Let i be q(4). Calculate the remainder when 20 + (-2 - (-2 - i)) is divided by 11.
9
Suppose 4*n + 386 = 3*q, q = -4*n + 6*q - 390. Let x = -48 - n. What is the remainder when x is divided by 12?
11
Let x(y) be the first derivative of -y**3/3 + y**2/2 + 35*y + 4. What is the remainder when x(0) is divided by 12?
11
What is the remainder when 8 is divided by (-1 + 3 - (-6 - -5)) + 1?
0
Suppose 5*j - 39 = -3*d, -2*j - 5*d + d = -10. Calculate the remainder when 42 is divided by j.
6
Let t(h) be the first derivative of -3*h**2/2 + 7*h - 1. Suppose 2*z - 12 = 4*z. What is the remainder when t(z) is divided by 9?
7
Suppose 4*c - 8*r - 9 = -9*r, -2*c - 2*r + 6 = 0. Let t = -3 - -5. What is the remainder when c is divided by t?
0
Calculate the remainder when 79 is divided by 4/(-20) + (-101)/(-5).
19
Calculate the remainder when 1/1 + 24 + 0 is divided by 9.
7
Calculate the remainder when -1 + 258/9 + (-2)/(-6) is divided by 5.
3
Let s = 9 - -1. Calculate the remainder when 39 is divided by s.
9
Let z(j) = -11*j - 4. What is the remainder when 52 is divided by z(-2)?
16
Let a(b) be the second derivative of 5/3*b**3 + 0 + 7/2*b**2 - 1/20*b**5 + b - 3/4*b**4. Calculate the remainder when a(-10) is divided by 3.
1
Suppose -2*p + 9 = 1. Suppose -158 = -6*a + p*a. Calculate the remainder when a is divided by 20.
19
Let u(s) = s**2 - 7*s - 8. Let d = -9 + 18. Calculate the remainder when u(d) is divided by 4.
2
Suppose -164 + 5 = -2*s - 5*p, -2*p = 3*s - 255. What is the remainder when s is divided by 24?
15
Let v(q) be the first derivative of -q**4/2 - 5*q**3/3 - q**2 + 4*q - 2. What is the remainder when v(-3) is divided by (-4 - 26/(-4))*2?
4
Let i(y) = 2*y**2 + 23*y - 5. Let v = -10 - -21. Calculate the remainder when v is divided by i(-12).
4
Suppose 56 = 4*k - 4*u, 4*k - 2*u + 15 = 79. What is the remainder when 105 is divided by k?
15
Suppose p = -4*k + 124, 3*k - 4*k + 50 = 5*p. What is the remainder when k is divided by (18 - (-3)/(-1)) + -4?
8
Let n(y) = -12*y + 33. Let s(c) = 3*c - 8. Suppose -1 = -3*r + 5. Let a(l) = r*n(l) + 9*s(l). What is the remainder when a(9) is divided by 8?
5
Suppose -50 = 2*y - 14. Let p = y - -10. Let x = -4 - p. Calculate the remainder when x is divided by 3.
1
Suppose 6*k - 70 = k. Calculate the remainder when 53 is divided by k.
11
Let u = -83 - -132. Suppose -4*w + 34 = -2*w. What is the remainder when u is divided by w?
15
Let m = 29 - 20. Calculat