 2*z - 14 - 10 = -k, 3*z = -3*k + 66. Suppose -5*p = y + 4*y + 30, -4*p - 15 = -5*y. What is the remainder when k is divided by y/((1 + 0)/(-7))?
6
Let c(x) = x**2 - 11*x - 5. What is the remainder when c(-7) is divided by 25?
21
Suppose 18*o + 23 = 19*o. Let h(f) = -21*f + 4. Calculate the remainder when h(-3) is divided by o.
21
Let z(g) = -2*g**2 - 3*g + 6. Let v(y) = -1. Let u(i) = v(i) - z(i). Calculate the remainder when u(-5) is divided by 8.
4
Calculate the remainder when 39 + (-1)/2*-4 is divided by 14.
13
Calculate the remainder when 58 is divided by (3 - -7)*9/6.
13
Calculate the remainder when 7 is divided by -5*(2/15 - 4/3).
1
What is the remainder when 17 is divided by 0 + 0 + 8 - -2?
7
Suppose 0 = -4*j - u + 35, -j + 15 = -u - 0*u. What is the remainder when 28 is divided by j?
8
Suppose -4*i + 0*c - 5*c + 4 = 0, 5*i + c - 26 = 0. Calculate the remainder when 10 is divided by i.
4
Let g(y) = y + 1. Calculate the remainder when 25 is divided by g(6).
4
Let p(x) = x**2 - 2*x + 7. Let b be p(-6). Let t = -2 + 5. Suppose 8*j - b = t*j. Calculate the remainder when j is divided by 4.
3
Suppose 43 = 5*v + 12*u - 15*u, 2*v + 4*u - 12 = 0. Calculate the remainder when 183 is divided by v.
7
Suppose 216 = 18*u - 6*u. What is the remainder when 35 is divided by u?
17
Let i be (-3)/(-15) + (-2)/10. Let l = 12 + i. Suppose -22 = -n - 0. Calculate the remainder when n is divided by l.
10
Let w(s) = s**3 - s**2 - s - 4. Calculate the remainder when 29 is divided by w(3).
7
Suppose -3*a - 75 = -3*d, 2*d - a + 3*a - 30 = 0. Calculate the remainder when d is divided by 7.
6
Let q = -6 + 9. Let f be 5*((-23)/(-5) + -4). Suppose f*u - 2*u = 2, 4*a - 22 = -3*u. Calculate the remainder when a is divided by q.
1
Let w = 42 + -27. Calculate the remainder when 29 is divided by w.
14
Let p(o) = o**3 + 12*o**2 + 12*o + 9. Let t be p(-11). Let u(h) = -11*h - 1. What is the remainder when u(t) is divided by 8?
5
Suppose -29 = -5*d - 4*g, 2*g = -2*d + 7*g + 5. What is the remainder when (-4)/((-16)/75) - 5/(-20) is divided by d?
4
Let g(i) be the second derivative of -5/2*i**2 + 1/3*i**3 + 7/12*i**4 + 1/20*i**5 + 3*i + 0. Calculate the remainder when g(-6) is divided by 7.
5
Suppose 4*c - 15 = -c. Suppose 4*n - c*g = 17, -3*n - g + 1 = -2. Calculate the remainder when 3 is divided by n.
1
Suppose 5*r = 5*k - 4*k - 69, -2*r = k - 55. Calculate the remainder when k is divided by 12.
11
Let n = 17 + 2. Suppose -4*v - 19 - 9 = 4*p, 28 = -4*v - 5*p. Calculate the remainder when n is divided by 1/((-8)/v + -1).
5
Let y(j) be the third derivative of j**6/120 - j**5/5 + j**4/2 + 5*j**3/6 + 3*j**2. What is the remainder when 31 is divided by y(11)?
15
Let a(r) = -4*r**3 - 2*r**2 + 2. Let u(w) = 2*w + 2. Let g be u(-2). Let b be a(g). Suppose -4*n + b = -70. What is the remainder when n is divided by 9?
6
Let r(z) = 5*z**2 + 7. What is the remainder when r(4) is divided by 22?
21
Suppose -4*c + 176 = -3*w + 7*w, -16 = -4*w. Let t = -6 - -11. Suppose 0 = -4*a - 5*b + 61, -t*a + 57 = b - 14. What is the remainder when c is divided by a?
12
Let s be ((-1)/(-1))/((-2)/66). Suppose 0 = -3*b + 4*f - 83, -f - 3*f = 2*b + 22. Let q = b - s. Calculate the remainder when 34 is divided by q.
10
Let j = -2 + 36. Calculate the remainder when j is divided by 7.
6
Let l(n) = n**3 + 9*n**2 + 3*n + 33. What is the remainder when l(-5) is divided by 30?
28
Let f(d) = -2*d**3 - 3*d**2 + d + 4. Calculate the remainder when 6 is divided by f(-2).
0
Suppose -2*u - u + 6 = 0. Suppose -10 = -u*c + c. Suppose -2*f = s - 0*f - 16, -5*s + 91 = -f. Calculate the remainder when s is divided by c.
8
Let c(s) = -5*s - 2. Calculate the remainder when ((-53)/(-2))/(1/2) is divided by c(-4).
17
Let k = 110 + 19. Suppose 3*p = 2*g + 133, -2*g + 25 = 4*p - k. Calculate the remainder when p is divided by 14.
13
Suppose 4*z = 4*p - 28, 8*p + z + 43 = 12*p. Calculate the remainder when p is divided by 4.
0
Let i(s) = 6*s**2 - s - 1. Let k be i(2). Let y = k - 11. Let g(n) = n**2 - 4*n - 3. Calculate the remainder when g(-3) is divided by y.
8
Let k be (-2)/(-6) - (-2)/(-6). Let u = k - -11. Calculate the remainder when u is divided by 4.
3
Let y(n) = n**3 + 6*n**2 + 4*n - 3. Let o(t) = 2*t**3 + 2*t**2 - t. Let d be o(1). Suppose d*a + 20 = -a. Calculate the remainder when 2 is divided by y(a).
0
What is the remainder when 3 + (1 - -4 - -18) is divided by 16?
10
Let s = 0 + -1. Let q = 4 - s. Suppose 2*d = -q*v + 45, v - 4*d = -9*d + 32. What is the remainder when 12 is divided by v?
5
Let h = 128 - 88. Let c = 24 - 13. Calculate the remainder when h is divided by c.
7
Let l be ((-6)/(-5))/(2/10). Calculate the remainder when (-5)/(5/l)*-2 is divided by 7.
5
Suppose -3*u = c - 29, -3*u - 2 = 1. Calculate the remainder when c is divided by 11.
10
Let l be -1*(-1 + (0 - 54)). Suppose 0 = -t - 4*t + l. What is the remainder when 43 is divided by t?
10
Let a(l) = -l**3 + 6*l**2 + 8*l - 15. Let i be a(6). Suppose -3*y + i = y + 5*t, -54 = -5*y - 2*t. What is the remainder when 45 is divided by y?
9
Suppose -3*c - 2*c + 55 = 0. Suppose 3*q - c = -5*b, -4*q = -b - 2*b - 5. Calculate the remainder when (-2)/(-2) - b*-17 is divided by 10.
8
Let m = 7 - 2. Suppose -37 = m*w - 6*w. Let u(k) = 12*k**2 + 2*k - 1. What is the remainder when w is divided by u(1)?
11
Let a = 404 + -347. Let p = 1 + 28. Calculate the remainder when a is divided by p.
28
Let p = 7 - 4. Suppose -3*d + 7*u = p*u + 12, d - 2*u = -4. What is the remainder when d/6 + (-116)/(-3) is divided by 20?
18
Suppose -2*c = 2*c + x - 111, 2*x + 97 = 3*c. Calculate the remainder when 56 is divided by c.
27
Suppose 40*b - 38*b = 36. Calculate the remainder when 64 is divided by b.
10
Suppose -2*v - 74 - 56 = 2*j, -3*v - 230 = -4*j. Let p = v + 104. Calculate the remainder when p is divided by 18.
16
Suppose 0 = -4*n + 3*n + 20. What is the remainder when (-1 + (-75)/1)*7/(-14) is divided by n?
18
Let d(s) = 6*s - 5. Let a be d(8). Let h = a - 28. What is the remainder when 44 is divided by h?
14
Let j(y) = 23*y + 4. What is the remainder when j(2) is divided by 13?
11
Suppose 0 = -m + 2 + 5. Let w(h) = 4*h**2 + 4*h**2 - h**3 - 5 - h**2 + h. Calculate the remainder when w(m) is divided by 2.
0
Let j(n) = -3*n - 17. What is the remainder when 14 is divided by j(-7)?
2
Calculate the remainder when 5/((-10)/(-18)) - (6 + -6) is divided by 7.
2
Let z(n) = -76*n + 2. Let c be z(3). Let v = -142 - c. Let d = -44 + v. What is the remainder when d is divided by 14?
12
Let c = 47 + -24. Calculate the remainder when ((-90 - -1) + 0)/(-1) is divided by c.
20
Let z(j) = j - 1. Let b be z(1). Suppose 4*s + 2 - 10 = b. Let v(c) = c**2 - 1. Calculate the remainder when v(s) is divided by 2.
1
Let o(a) = -a + 4. Let j be o(4). Suppose -2*i + i + 9 = j. Let p = -2 + i. Calculate the remainder when 27 is divided by p.
6
Suppose -2*i + 48 = 2. Let z(l) = -l**3 - 4*l**2 + l + 17. Calculate the remainder when i is divided by z(-4).
10
Let a = 28 - 17. Suppose -5*x = -5*i - 95, i - 63 - 44 = -5*x. What is the remainder when x is divided by a?
10
Suppose 2*b - 28 = -t + 52, -2*b = -5*t - 92. What is the remainder when b is divided by 15?
11
Let c(s) = 1 - 3*s + 0 + 2 + s**2. Let x(t) = -t**3 + 5*t**2 - 3*t - 2. What is the remainder when x(3) is divided by c(3)?
1
Let g(r) = r + 16. Let t be g(-14). Suppose -5 = z - t*z. What is the remainder when 7 is divided by z?
2
Suppose 4*b = -4*d + 40, -b = -0*b + 4*d - 19. Calculate the remainder when 20 is divided by b.
6
Let k(z) = 4*z**3 - 5*z**2 + 2*z - 9. Let y(v) = 11*v**3 - 15*v**2 + 7*v - 26. Let b(w) = 8*k(w) - 3*y(w). What is the remainder when b(4) is divided by 1?
0
Suppose -389 - 61 = -6*w. What is the remainder when w is divided by 38?
37
Suppose 2*t + 5*o = 5*t - 27, 4*t - 53 = o. Calculate the remainder when 41 is divided by t.
13
Let t(u) = 2*u**2 - 10*u + 12. Let v be t(9). Let h = v - 46. What is the remainder when h is divided by (0 + 13/2)*2?
12
Let h(x) = -x**3 - 9*x**2 - 10*x - 2. What is the remainder when 51 is divided by h(-8)?
9
Suppose -8*y + 10*y - 34 = 0. What is the remainder when y is divided by 6?
5
Suppose 4*v = v + 99. What is the remainder when v is divided by 7?
5
Let i = -40 - -44. Calculate the r