x = s + 47. What is the remainder when 54 is divided by x?
12
Suppose 0*k + 15 = 3*k, 4*s - 187 = -3*k. Let g(p) = 14*p**2 + p. Let w(c) = c**2 + 5*c - 5. Let y be w(-6). Calculate the remainder when s is divided by g(y).
13
Let j(s) = s - 2. Let t be j(4). Let p = 14 + 17. Calculate the remainder when p is divided by 5*2 - (t + -3).
9
Let m = -32 + 41. Suppose 3*z - 52 = 44. What is the remainder when z is divided by m?
5
Let f be (-3)/(-3)*(7 - 5). Suppose 2*g - 10 = -f*r, 4*g - 4 - 13 = -5*r. Calculate the remainder when 15 is divided by g.
7
Suppose 14 = 4*i + v, -4*v - v = -5*i + 5. Suppose 0 = -i*a - 3. Let t(d) = 13*d**2 - d. Calculate the remainder when 26 is divided by t(a).
12
Let s(t) = t**3 - 6*t**2 - t + 3. Let l be s(6). Let g be 4/l + 2/6. Let r = 6 + g. Calculate the remainder when 13 is divided by r.
3
Let z be (3/(-4))/(1/4). Suppose 0*p = p + f - 6, -2*f = -4*p + 24. Let q = p + z. What is the remainder when 5 is divided by q?
2
Suppose -2*d - 3*n + 10 = -32, 2*d = 5*n + 10. Calculate the remainder when 27 is divided by d.
12
Let l = 26 - 14. Calculate the remainder when 47 is divided by l.
11
Suppose 2*v - 23 - 7 = 0. Let s be 330/(-11) - -3*1. Let z = s + 69. What is the remainder when z is divided by v?
12
Calculate the remainder when 3/12 + 69/12 is divided by 4.
2
Let f(v) = 2*v - 3 - 2*v - v. Let q be f(-5). Suppose 5*y + q*m - 90 = 0, 3*y - 4*m - 13 - 67 = 0. Calculate the remainder when 59 is divided by y.
19
Suppose 5*m - 20 = -3*i + 25, -5*i = -2*m - 75. Let c = i - 32. Let v = 31 + c. Calculate the remainder when 41 is divided by v.
13
Let w = 8 - 3. Let z = 8 - w. What is the remainder when 3 is divided by z?
0
Let g(m) = m**3 + 3*m**2 - 2*m + 1. Let b(j) = -3*j + 8. Calculate the remainder when b(-6) is divided by g(-2).
8
Let z(q) = q**2 + 17*q + 78. Calculate the remainder when 88 is divided by z(-12).
16
Let f(k) = k**3 - 6*k**2 + 3*k - 5. What is the remainder when (1 + -2)*-23 - 0 is divided by f(6)?
10
Let r(a) = 2*a**3 - 4*a**2 - a. What is the remainder when 43 is divided by r(3)?
13
Suppose -3*q + d + 100 = 0, -d + 120 = 4*q - 5*d. What is the remainder when 138 is divided by q?
33
Let i = -1 + 2. Suppose -u = -5*u. Calculate the remainder when (1 + u)/((-5)/(-5)) is divided by i.
0
Let p = 46 - 4. Suppose -i + p = 2*i. Calculate the remainder when (-16)/5*25/(-2) is divided by i.
12
Let o be 15/(-20) + (-66)/8. Let m = o - -17. What is the remainder when 23 is divided by m?
7
Suppose 3*j = -4*a + 199, -2*a - 5*j = -a - 37. What is the remainder when a is divided by 14?
10
What is the remainder when -5 + 2 + (8 - -9) is divided by 4?
2
Suppose -3*l - 2*l + i = -45, 0 = -5*i. Let o(x) = 10*x + 3 - l + 0*x**2 - x**2 - 3. Calculate the remainder when 28 is divided by o(6).
13
Let y(h) = 2*h**2 + 3*h - 13. Let m be y(-6). Let i(z) = z. Let n be i(7). Let u = m - n. What is the remainder when u is divided by 12?
10
Suppose r + 2*r - 5*y = 21, 2*r + y - 14 = 0. Let f(w) = 2 - r + 3 + 2*w**2. Calculate the remainder when 47 is divided by f(-3).
15
Let d be 15*(0 - 2/6). Let n(k) = 2*k**2 + 7*k + 7. Suppose 0 = 2*f - 206 + 36. Calculate the remainder when f is divided by n(d).
19
Let k(v) = v**2 - 2*v + 22. What is the remainder when k(0) is divided by 8?
6
Let j(h) = -18*h + 1. Let o be (6/(-4))/((-4)/(-8)). Let v(l) = -l**3 - 5*l**2 - 5*l - 6. Calculate the remainder when j(o) is divided by v(-5).
17
Let l(q) = -q**2 + 9*q + 9. Let d be l(9). Let w = 14 - d. Calculate the remainder when w is divided by 3.
2
Let b = 8 - 4. Let f = -9 - -35. What is the remainder when f is divided by -6*1/b*-6?
8
Suppose 0 = 4*z - 66 + 6. Suppose 4*s - 55 + z = 0. Calculate the remainder when 29 is divided by s.
9
Let p = 10 - 2. Let r(v) = v + 4. Let t be r(4). Suppose 23 = 3*o + t. What is the remainder when p is divided by o?
3
Suppose 2*r = 2*c - 0*c - 22, 0 = -4*r - c - 29. Let b(t) = t**3 + 8*t**2 - t + 2. Calculate the remainder when b(r) is divided by 6.
4
Let b(a) be the first derivative of -a**4/4 - 11*a**3/3 - a**2/2 - 2*a + 2. What is the remainder when 15 is divided by b(-11)?
6
Let z(w) = 4*w**3 + 4 - 2*w**3 + 5*w**2 - 3 - 2*w**2 - 3*w. Calculate the remainder when z(3) is divided by 15.
13
Suppose -4*g = -12, -4*y + g - 4 = -21. Suppose 251 = y*q - 29. Let l = q + -25. Calculate the remainder when l is divided by 16.
15
Let a(c) = -c**3 + c - 1. What is the remainder when a(-2) is divided by 12/7 - (-6)/21?
1
Let x(j) = 11*j + 1. Let u be x(-1). Let f = u + 8. What is the remainder when ((-17)/f)/((-3)/(-6)) is divided by 9?
8
Suppose 10 - 4 = 2*q. Suppose q*z + 34 = 5*c, 2*c - 2*z + 28 = 5*c. Calculate the remainder when 23 is divided by c.
7
Let a = -5 - -9. Suppose 3*m = -2*t + 6, -3*m - 6 + 3 = 5*t. Let k = m - 2. Calculate the remainder when a is divided by k.
0
Let v(k) be the third derivative of -5*k**4/24 - k**3/2 - 3*k**2. What is the remainder when 11 is divided by v(-2)?
4
Suppose -12 + 66 = -3*m. What is the remainder when 46 is divided by (m/7)/(6/(-28))?
10
Let h be 0 - (0 + (2 - 6)). Let n = 57 - 25. Suppose -3*a + 2*f - f = -n, h*a - 2*f = 42. What is the remainder when 41 is divided by a?
8
Let x = 0 - 5. Let a be (-214)/(-10) + 2/x. Suppose 0 = u - 5*i - a, 8 = -5*u - 5*i - 7. What is the remainder when 1 is divided by u?
0
Suppose 0 = 3*l - 4*l + 31. What is the remainder when l is divided by (-1)/(-3) + (-3)/((-18)/94)?
15
Let a(q) = -18*q - 9. Calculate the remainder when 35 is divided by a(-1).
8
Suppose 6*d = 2*d - 20. Let r = -6 + 15. Calculate the remainder when r is divided by (5/3)/(d/(-15)).
4
Let t be 10/4*(-4)/5. Calculate the remainder when 3 is divided by 3/(2/t*-3).
0
Suppose -3*j + 5*j = 2. Let x be ((-4)/8)/(j/(-162)). Let o = x - 48. Calculate the remainder when o is divided by 17.
16
Suppose 4*y - 5*s - 257 = 0, 3*s = 3*y - 96 - 99. Calculate the remainder when 14 is divided by y/14 + 6/42.
4
Suppose 2*s = -2*t + 23 + 25, 3*s - 112 = -5*t. Let p be (-6)/15 + 53/(-5). Let w = p + 22. What is the remainder when t is divided by w?
9
Suppose 4*k - 3*y = -k + 23, 4*k - 15 = -y. What is the remainder when 9 + 5/((-10)/(-4)) is divided by k?
3
Let o(t) = -4*t - 2. Calculate the remainder when o(-4) is divided by 6.
2
Suppose 4*a = 8, -2*j + 3*a = -j + 1. Suppose -z = -s + 5, j*s + 3*z = s + 41. Calculate the remainder when 15 is divided by s.
7
Suppose 0 = -6*o + 2*o - 156. Let q = -21 - o. Suppose 32 = 5*r - 18. What is the remainder when q is divided by r?
8
Suppose -3*f + 69 + 54 = 0. Suppose -c + o + 25 = 0, 2*o = -c + 15 - 2. What is the remainder when f is divided by c?
20
Let u = 17 + -29. Let q = 21 + u. Suppose -5*g - 22 = -147. What is the remainder when g is divided by q?
7
Let w(x) be the first derivative of x**3/3 - 2*x**2 - 3*x + 4. Calculate the remainder when 35 is divided by w(7).
17
Let c = 7 + 19. Let l = 48 - c. Calculate the remainder when l is divided by 12.
10
Let i(h) = 8*h + 1. Let l be i(2). Suppose -9 = 11*x - 10*x. Let u = l + x. What is the remainder when u is divided by 5?
3
Let f(t) be the second derivative of -t**3/2 - 13*t**2/2 + 7*t. Let y(s) = -2*s - 2. Calculate the remainder when f(-10) is divided by y(-4).
5
Let q(y) = -y**3 - 11*y**2 - 10*y + 7. Suppose 6*t + 21 = -39. What is the remainder when 26 is divided by q(t)?
5
Let n(q) = q + 6. Let s be n(-8). Let h be (110/(-8))/(s/8). Suppose 3*i - h = -13. Calculate the remainder when 40 is divided by i.
12
Suppose -4*p + 22 = -2*p. What is the remainder when 35 is divided by p?
2
Suppose -48 = -4*u + 216. What is the remainder when u is divided by 23?
20
Suppose -2*p - 3*a = -6*a - 20, -50 = -5*p + 3*a. What is the remainder when 28 is divided by p?
8
Let g = -22 + 33. What is the remainder when 41 is divided by g?
8
Suppose -12 = b + b. Let v(n) = -n**2 + 2*n + 2. Let a be v(b). Let l = -27 - a. What is the remainder when 55 is divided by l?
17
Let x = 12 - 5. Let n = x + -5. Suppose -5*l + 14 = z - 12, -2*l + n = -z. What is the remainder when 11 is divided by z?
5
Let s(l) = 2*l**2 + l - 3. What is the remainder when s(-4) is divided by 9?
7
Let u(a) = -a**2 + a + 14. Let d be u(0). Suppose l = 2, 0 = 6*p - 5*p + l - d. What is the remainder when p is divided by 7?
5
Suppose 18*o = 864 + 57