r when y is divided by d.
1
Let w(u) = 6*u**2 - 2*u. Let f = 38 + 20. What is the remainder when f is divided by w(2)?
18
Let k be 1 - (-4 + 1) - 2. Suppose 0*s = k*s + p, 3*s = 2*p + 14. Suppose -j + 0*j = -5*f - 57, 57 = j + s*f. What is the remainder when j is divided by 15?
12
Let w(b) = b + 11. What is the remainder when w(5) is divided by 9?
7
Let b = 8 + 30. Let l = -5 - -18. Calculate the remainder when b is divided by l.
12
Suppose 20 = -3*g + 4*g. Let a = -10 + g. Calculate the remainder when 22 is divided by a - (-1 - (-2)/(-2)).
10
Let p = 156 + -67. What is the remainder when p is divided by 30?
29
Let w = 3 - -53. Suppose 0*y = y - 15. What is the remainder when w is divided by y?
11
What is the remainder when 43 is divided by -3 - 11/(55/(-130))?
20
Let m(a) = -15*a. Let b be m(-2). Let h(q) = -q**2 + 2*q + 7. Let u be h(5). Let y = u + b. Calculate the remainder when y is divided by 12.
10
Let h = -28 - -11. Let x = h - -35. Calculate the remainder when x is divided by 10.
8
Let m = -2 - -6. Let g(r) = r. Let n be g(3). Suppose n*h - 2*b - 11 = 0, 0 = 4*h - 2*b - 3*b - 10. What is the remainder when h is divided by m?
1
Suppose 128 - 353 = -5*o. Let k(p) = -4*p. What is the remainder when o is divided by k(-3)?
9
Suppose -2*t - s = -t - 43, -2*t = -s - 74. Calculate the remainder when t is divided by 10.
9
Let b(n) = 2*n**2 - 2*n + 2. Suppose 5 = 4*o - 15. Suppose -5 = 4*l - 0*l + 5*h, -o*l + 50 = -5*h. What is the remainder when b(3) is divided by l?
4
Let n(p) = p**2 + 23*p + 60. Calculate the remainder when n(-21) is divided by 3.
0
Suppose 0 = 6*d - d + 10. Let s = d + 7. Calculate the remainder when 9 is divided by s.
4
What is the remainder when 54 is divided by (-2)/(-3)*(9 + 12)?
12
Let v(u) be the third derivative of -u**6/120 + u**5/6 + u**4/12 - u**3/2 - 2*u**2. Calculate the remainder when v(10) is divided by 10.
7
Suppose 0*o = 3*o - 15. Let t be 45/6 + (-2)/4. Suppose -t = -z + 1. What is the remainder when z is divided by o?
3
Let n(j) = -j + 2. Let v be n(0). Suppose -v*g - 2 = 2*c - 0*g, -27 = -5*c + 3*g. Calculate the remainder when 11*2 - (-1 + c) is divided by 7.
6
Let p be 10/4*(6 + -4). Suppose -p*w + w = 0. Suppose -o = 3*o + 4*v - 148, 3*o - v - 95 = w. Calculate the remainder when o is divided by 17.
16
Suppose 5*w - 16 = 3*w. Let n = -50 + 72. What is the remainder when n is divided by w?
6
Let z = 38 - -40. What is the remainder when z is divided by 29?
20
Let w(j) = 5*j**3 - j**2 + 1. Let x be w(-1). Let v = x - -7. Let b(u) = -u**2 + 8*u - 8. What is the remainder when b(6) is divided by v?
0
Let s(m) = -10*m - 1. Let u(c) = -c**3 + c**2 + 2*c - 3. Let q be u(2). Suppose -4*t + 8 = -3*t. What is the remainder when s(q) is divided by t?
5
Let f = 35 - -4. Calculate the remainder when f is divided by 21.
18
Let z(c) = c**3 - 4*c**2 + 6*c - 17. What is the remainder when 189 is divided by z(5)?
37
Suppose 8*d = 3*d + 45. Let a(q) = q**3 - 7*q**2 + 10*q - 7. Let o be a(6). Let u = o - -9. What is the remainder when u is divided by d?
8
Suppose -2*i + 3*i = 3*g + 26, -3*i + 65 = 4*g. What is the remainder when i is divided by 13?
10
Let g = -21 + 7. Let c = -6 - g. Suppose 9 - 53 = -2*r. What is the remainder when r is divided by c?
6
Suppose -g = 4*c + g - 148, -5*c + g = -185. Let p = -5 + c. Suppose 0 = -2*f - 0*r + 2*r + 16, -3*r + 42 = 3*f. Calculate the remainder when p is divided by f.
10
Let j(u) = u**3 + 3*u**2 - 2*u. Calculate the remainder when 29 is divided by j(-3).
5
Let i = 9 - -88. What is the remainder when i is divided by 11?
9
Suppose 74 = 2*d - 3*v, -v - 4*v + 210 = 5*d. Suppose 2*u - 2*i = -u + 30, -4*u + d = -4*i. Let s = u + -6. Calculate the remainder when 6 is divided by s.
2
Suppose -h + 17 = i - 27, -i + 14 = -5*h. Let r(s) = s**2 + s. What is the remainder when i is divided by r(4)?
19
Suppose 4*h - 20 = -0*h. Let q(k) = k**2 - 4*k + 6. Let s be q(6). Let y = -5 + s. What is the remainder when y is divided by h?
3
Let d = -5 - -1. Let b = d + 6. What is the remainder when 7 is divided by b?
1
Let q(i) = -4 - 6*i - i + 9. Calculate the remainder when q(-8) is divided by 31.
30
Let i(k) = -k + 2. Let l(z) = -2*z + 1. Let o be l(2). Let g be i(o). Let w = -4 + g. Calculate the remainder when 1 is divided by w.
0
Suppose -3*q + 53 + 232 = 0. Suppose o = -3*f + 57, 5*f + 2*o - o - q = 0. Let w(z) = 36*z. Calculate the remainder when w(1) is divided by f.
17
Let y = -6 + 11. Let f(z) = -y*z - 3*z - 18*z + 1. What is the remainder when f(-1) is divided by 14?
13
What is the remainder when 138 is divided by (26/10 + -1)*125/10?
18
Let n = 48 + -24. Calculate the remainder when n is divided by 13.
11
Let t be ((-2)/(-4))/((-2)/(-52)). Let a = t + -8. Suppose s + 6*c = 3*c - 8, -c = a. Calculate the remainder when 20 is divided by s.
6
Suppose -6*z + 195 = -z. Let y = -5 + z. Calculate the remainder when y is divided by 12.
10
Suppose 2*k + 3 = 13. What is the remainder when k is divided by 3?
2
Suppose o = -o + 42. Let j(x) = x**3 + 6*x**2 - 7*x + 1. Calculate the remainder when j(-5) is divided by o.
19
Let n be 7 - (2 - (2 + -3)). Suppose -3 - 9 = -n*x. Calculate the remainder when x is divided by 3.
0
Let y(q) = -q**3 + q**2 + 9*q + 14. Calculate the remainder when y(-5) is divided by 30.
29
Let c be (-3 + 1)*1 - -5. Let w = 233 + -161. Suppose -b = -c*b + w. What is the remainder when b is divided by 19?
17
Let o = 0 - -2. Suppose -o = -2*s - 2*y, 0*s = -4*s - 5*y. Calculate the remainder when ((-4)/6)/(2/(-42)) is divided by s.
4
Suppose -t + 6*t = 110. Calculate the remainder when t is divided by 8.
6
Let s(p) = 3*p + 10. Let t(r) = -r**2 - 9*r - 7. Let n be t(-7). Calculate the remainder when s(n) is divided by 11.
9
Let u(p) = 0*p**2 + p**2 - 4*p**2 + 5*p**2 + 1. Suppose -3*m = -2 - 1. What is the remainder when 7 is divided by u(m)?
1
Suppose -2*k = -3*x - 18, -x = 3*k + 2*x - 57. Calculate the remainder when 43 is divided by k.
13
What is the remainder when 35 is divided by 18/(-5)*15/(-6)?
8
Let r(x) = 3*x - 3. Let w be r(6). Let k = w - -2. Calculate the remainder when k is divided by 4/(-14) + (-130)/(-14).
8
Calculate the remainder when 3 is divided by 1 + 5 - (42 - 39).
0
Suppose 4*c + c - 115 = 0. Let f(b) = -10*b - 6. What is the remainder when f(-5) is divided by c?
21
Suppose 0 = -5*s - 5*w + 33 + 52, 2*w - 22 = -s. What is the remainder when s is divided by 3?
0
Let w(c) = -c**2 + 6*c - 4. Suppose 5*z + 9 = 6*z. What is the remainder when z is divided by w(4)?
1
Suppose 3*p = 3*w - 54, 2*w - 3*w + 5*p + 14 = 0. Calculate the remainder when 46 is divided by w.
8
Suppose 19 = 5*k - 41. What is the remainder when 34 is divided by k?
10
Let z(p) = -6*p - 1. Suppose f + 280 = 5*f. Suppose 2*n + 4*o = f, -2*n + 6*o + 52 = o. What is the remainder when n is divided by z(-2)?
9
Suppose 5 + 19 = 3*c. What is the remainder when c is divided by (3 - 5)/((-2)/3)?
2
Let s(a) = -a**3 - 6*a**2 - 7*a - 3. Let b be 2/(-4) + 9/(-2). Calculate the remainder when s(b) is divided by 2.
1
Let a(o) = -o**3 - 6*o**2 - 6*o. Suppose -g + 6 = 2*g. Suppose -8 = -g*z + c, c = -0*z + z - 6. Calculate the remainder when a(-5) is divided by z.
1
Let g = -60 + 116. Suppose -h - 10 - 5 = 5*m, 5*h + 15 = -5*m. Suppose h = -5*l - 0*l + 95. Calculate the remainder when g is divided by l.
18
Suppose -3*q - 2*v = -5*v - 12, 0 = -2*q - 5*v + 36. Calculate the remainder when 31 is divided by q.
7
Suppose -y - 181 = -4*b, 5*y = -b + 18 + 22. What is the remainder when b is divided by 12?
9
Let w = 152 - 100. What is the remainder when w is divided by 18?
16
Let p = -8 + 18. Let t = 10 - 6. Suppose t*j - 5*r = 13 + 59, 4*j - 2*r - 72 = 0. What is the remainder when j is divided by p?
8
Let x(s) = 10*s - 30. Let l(t) = 2*t - 6. Let o(v) = -14*l(v) + 3*x(v). Suppose 2*f - f - 13 = 0. What is the remainder when f is divided by o(5)?
1
Suppose -4*w = 29 + 19. Calculate the remainder when 5 is divided by w/(-78) - 74/(-26).
2
Suppose -5*y + 13 = z, 4*z + z + 3*y = 87. Suppose z = q - 7. Let b(w) = 15*w - 2. What is the remainder when q is divided by b(1)?
12
Let b = 1 - -1. Suppose -3*v + 10 = -b*v. What is the remainder when 27 is divided by v?
7
Suppose 3*y - 7*z + 3*z = 44, 5*z + 33 = y. Calculate the rem