y + 5. Calculate the remainder when 8 is divided by u(w).
3
Suppose 3*s + 9 = 6*s - 3*h, 5*h + 8 = -2*s. Suppose 2*p + 0 = n + s, -4 = n - 3*p. Calculate the remainder when n is divided by 2.
1
Suppose 9*q = -71 + 845. Calculate the remainder when q is divided by 22.
20
Let f(z) = 2*z - 5. Let o be f(5). Suppose c = 11 + o. Calculate the remainder when 46 is divided by c.
14
Let t be ((-42)/(-10))/(3/45). Suppose -5*w = -t + 23. Let h(u) = u**2 + 3*u - 3. What is the remainder when h(3) is divided by w?
7
Let n = -42 + 107. Let c = -37 + n. What is the remainder when c is divided by 15?
13
Suppose 4*f - 12 = -f + 4*n, -f + 3*n - 2 = 0. Suppose -2*j + 35 = -r + 6, -61 = -4*j + 5*r. Calculate the remainder when j is divided by f.
2
Let z(i) = i**3 + 7*i**2 + 10*i - 2. Suppose 4*q - 23 - 1 = 0. Calculate the remainder when q is divided by z(-3).
2
Let b(u) = 10*u. Let v be b(-1). Let a = v - -18. Calculate the remainder when 13 is divided by a.
5
Let k = -52 - -82. Suppose 0 = -3*p - 4*f + 24, 5*p = 3*f + 40 - 0. Calculate the remainder when k is divided by p.
6
Let b(f) = 4*f**2 - f. Let s be b(2). Let j = s + -11. Let v(h) = 3*h**2 - 2*h + 4. Calculate the remainder when v(j) is divided by 13.
12
Let w(n) = n**3 - 11*n**2 + 11*n - 3. Let g(k) = -2*k - 6. Let h be g(-8). Let i = 5 + -1. Calculate the remainder when w(h) is divided by i.
3
Suppose a + 0 = 12. Suppose -3*g = -a, y - 5*g = 3*y - 72. Calculate the remainder when y is divided by 9.
8
Let z(v) = -v**2 - 8*v. Suppose 5*i + 0*k = -3*k + 178, -4*k = i - 39. Suppose 5*c - 185 = i. What is the remainder when c is divided by z(-5)?
14
What is the remainder when 60 is divided by 6/((12/14)/3)?
18
Suppose -2*x = -4*x - 2. Let y(q) = 7*q**2 + q. Let k be y(x). Suppose 0 = k*l - l - 45. What is the remainder when 34 is divided by l?
7
Let j = -3 + 5. Let t(x) = -2*x + 63 - x**j + 8*x - 58. What is the remainder when 17 is divided by t(5)?
7
Suppose -36 - 8 = -5*u + l, u + 12 = -5*l. What is the remainder when 2 + 19 - (-1 + 0) is divided by u?
6
Let m = 5 + 0. Let f(g) = 2 + g**3 + 4*g**2 + m*g - 2*g**3 - 7. What is the remainder when 29 is divided by f(4)?
14
Suppose -v + 3*v + 3*s - 14 = 0, -4*v - 4*s = -24. Let b = 10 - 4. What is the remainder when b is divided by v?
2
Suppose -q - q = -8, q = 2*b + 76. Let d be (b/14)/(12/(-56)). Let t = 0 + d. Calculate the remainder when t is divided by 7.
5
Suppose -4*t + 78 = -2*f - 3*f, 8 = -4*f. Let s(v) = 50*v**2 - v. What is the remainder when s(1) is divided by t?
15
Let h = 190 + -169. Calculate the remainder when h is divided by 6.
3
Let s(y) = -y + 12. Let c be s(8). Let f(r) = 2*r**2 - 6*r + 9. Suppose -2*d + 0*d = -12. Calculate the remainder when f(c) is divided by d.
5
Let v(b) = 5*b + 2. Let f(i) = 10*i + 4. Let d(g) = -6*f(g) + 10*v(g). What is the remainder when d(-5) is divided by 12?
10
Suppose -366 = -9*x + 138. Suppose 4*r + 29 + 3 = 0. Let f = r + 27. Calculate the remainder when x is divided by f.
18
What is the remainder when 3843/27 - (1 + (-2)/3) is divided by 18?
16
Suppose -2*x = 5*o - 46, -2*o - 2*o + 26 = -2*x. What is the remainder when o is divided by 4?
0
Let i(r) = r**3 + r. Let y(n) = 4*n**3 + 7*n**2 + 15*n - 8. Let c = -11 - -6. Let u(l) = c*i(l) + y(l). Calculate the remainder when 23 is divided by u(8).
7
Let y = 39 - 25. Calculate the remainder when 25 is divided by y.
11
Suppose -959 + 2 = -11*z. What is the remainder when z is divided by 11?
10
Let q be ((-2)/(-4))/((-3)/36). Let m(o) = o**3 - 2*o**2 - 2*o - 3. Let u be m(-2). Let c = q - u. What is the remainder when c is divided by 5?
4
Suppose 3*c - 23 = 2*z, -3*z - 17 = -2*c - 0*z. What is the remainder when 34 is divided by c?
6
Let a(t) = t**3 - t**2 - 3*t - 2. Let d(w) = 11*w - 2. Let c = -2 + 4. What is the remainder when d(c) is divided by a(3)?
6
Let g(a) = 4*a + 2. Let c(q) = -q**3 - 28*q**2 + 87. What is the remainder when c(0) is divided by g(5)?
21
Let u(s) = -4*s - 7. Let l(m) be the first derivative of -9*m**4/4 - m**3/3 - m**2/2 - m + 1. What is the remainder when u(-9) is divided by l(-1)?
5
Let l(f) = -f**2 + 12*f - 6. Let q(a) = -a + 11. Let u be q(0). Calculate the remainder when 17 is divided by l(u).
2
Let y = -36 - -40. What is the remainder when 4 is divided by y?
0
Let x be (-14)/(-2)*3/(-3). Let i(d) = -d**2 - 7*d + 9. Calculate the remainder when 26 is divided by i(x).
8
Suppose v + 8 = 3. Let i(b) be the second derivative of b**4/6 + 2*b**3/3 + 2*b**2 + b. What is the remainder when i(v) is divided by 12?
10
Let x be 4/(-14) - 634/(-14). Suppose 1 = -2*t + x. What is the remainder when t is divided by 12?
10
Suppose -47 + 3 = 4*a. Let j = -8 - a. What is the remainder when 8 is divided by j?
2
Let k = -21 - -152. Suppose 0 = r + r + 3*q - 61, -3*q = -4*r + k. Suppose 3*b - 5*t = 64, -t - r = -4*b + 25. Calculate the remainder when 37 is divided by b.
11
Let y(d) = -6*d - 2. Let m be y(-1). Suppose -3*v + l + 65 = 13, -3*v - m*l = -77. Calculate the remainder when 55 is divided by v.
17
Suppose 0 = b + 4*k + 42, k + 4*k = -2*b - 93. Let j = 93 + b. Calculate the remainder when j is divided by 10.
9
Suppose 4*f = -l + 14, 4*l - 3*f - f = 36. What is the remainder when l is divided by 6?
4
Let y = 34 - 20. What is the remainder when (-2)/(-3) - (-3140)/60 is divided by y?
11
What is the remainder when 319 is divided by 49 - (0 - (2 - 5))?
43
Suppose 2*h = 4*h + 2*v - 128, 2*v = h - 76. Let y = -43 + 66. What is the remainder when h is divided by y?
22
Suppose 4*k - 50 = -0*k - 2*t, 5*k + 3*t - 60 = 0. Let l(r) = 7*r**3 - r. Let f be l(-1). What is the remainder when 2/(-6) - 266/f is divided by k?
14
Suppose 0 = -8*s + 3*s + 220. Calculate the remainder when 174 is divided by s.
42
Suppose 0 = -3*h + 2*h - 3*x + 30, 0 = h - 5*x + 2. What is the remainder when 52 is divided by h?
16
Let u = -63 + 68. Calculate the remainder when ((-1)/2)/(3/(-132)) is divided by u.
2
Let r = 20 - 0. Let c = 10 - 3. What is the remainder when r is divided by c?
6
Suppose -a + 32 + 5 = 0. Calculate the remainder when 70 is divided by a.
33
Let l(b) = b**3 + b**2 + b + 11. What is the remainder when 17 is divided by l(0)?
6
Calculate the remainder when 34/4 - 2/(-4) is divided by (-5)/50*2 - 26/(-5).
4
Let c(u) = -12*u - 3. What is the remainder when c(-7) is divided by 41?
40
Let o = -155 + 240. Calculate the remainder when o is divided by (-1)/(1 - 2)*22.
19
Let u = 12 + -8. Let v = 8 - u. Suppose 0 = -v*k - 82 + 234. What is the remainder when k is divided by 13?
12
Let n(y) = y**3 + 6*y**2 - 9*y + 15. What is the remainder when n(-7) is divided by 3?
2
Let b(u) = -9*u + 2. Let t(k) = -8*k + 1. Let q(l) = 5*b(l) - 6*t(l). Let y be q(4). Suppose 3*i + y = 4*i. Calculate the remainder when i is divided by 9.
7
Suppose 3*f = x - 2*x + 18, 2*f + 4 = 0. What is the remainder when 65 is divided by x?
17
Suppose -2*h = x - 103, 5*x + 286 = 4*h + 115. What is the remainder when h is divided by 14?
7
Suppose 1 + 11 = -4*j, 3*p - j = 1044. Calculate the remainder when p is divided by 35.
32
Let r = 151 - 140. Suppose 5*v + 4*n - 70 = 0, 0*v + 2 = -v - 4*n. Calculate the remainder when v is divided by r.
7
Let z = 1 + 8. What is the remainder when 25 is divided by z?
7
Let h(z) = z**2 + 17*z + 33. Calculate the remainder when 47 is divided by h(-16).
13
Let k(t) = 13*t**3 - 2*t**2 + t. Suppose 4*n - 25 = -n. Let a = n + -4. Calculate the remainder when 35 is divided by k(a).
11
Let q(f) = -f**3 - 10*f**2 - 12*f + 3. Let k be q(-9). Let b be (4/10)/(1/k). Suppose 0*n - 2*n = -b. Calculate the remainder when 11 is divided by n.
5
Let b(d) = d**2 + 5. Suppose 0*a = -4*a + 88. Calculate the remainder when b(6) is divided by a.
19
Let t = -21 + 32. Let h = 18 + -10. Suppose 2*a - h = 0, 4*l - 2*a = -6*a + 96. Calculate the remainder when l is divided by t.
9
Suppose 3*j - 3*t - 33 = j, 5*t + 71 = 4*j. Calculate the remainder when 47 is divided by j.
23
Suppose -2*t - 15 = 15. Let u = 31 + t. What is the remainder when 46 is divided by u?
14
Let n = 52 + -41. Suppose 3*i - 7*i + 120 = 0. What is the remainder when i is divided by n?
8
Let n be (-3)/6*-4 - 12. Let i = n + 15. What is the remainder when 9 is divided by i?
4
Suppose h - 2*b + 3*b - 69 = 0, -2*h + 3*b + 1