 -3*y. Suppose 5*h = 4*h + y. Calculate the remainder when q is divided by h.
4
Suppose 0*s = -s - 2, 0 = 3*a + 3*s - 162. What is the remainder when a is divided by 29?
27
Let s(f) = f**2 + 11. Calculate the remainder when 178 is divided by s(-3).
18
Let w(f) = 2 - 10*f + 3*f**2 + 0*f**2 - 2*f**2. Let u be w(10). Suppose -3*v + 95 = u*v. What is the remainder when v is divided by 10?
9
Let s = 4 - -37. Let j(t) = 12*t - 3. Calculate the remainder when s is divided by j(2).
20
Let d = 25 + -7. Suppose u + 2*u - d = 0. Let i = -11 - -21. Calculate the remainder when i is divided by u.
4
Suppose -3 = -4*o + 1. Suppose 2*g - o = 7. Suppose 0 = g*z - z - 24. What is the remainder when 15 is divided by z?
7
Let a(g) = -6*g + 1. Suppose -3*o = -1 - 11. Suppose -o + 5 = -j. What is the remainder when a(j) is divided by 3?
1
Suppose 0 = 4*t - 4. Suppose 0 = -4*a - 7 + 27. Suppose k - 9 = -3*c, 3*c + k + 1 = a*c. Calculate the remainder when c is divided by t.
0
Let t = 9 + -6. Suppose t*q = 6 + 12. Calculate the remainder when q is divided by 4.
2
Let o(y) = y**3 + 6*y**2 - y - 5. Let i be o(-6). Calculate the remainder when 27 is divided by -28*((-2)/(-4) - i).
13
What is the remainder when 22 is divided by 9*((-8)/(-12))/2 - -7?
2
Suppose t - 4*t + 4*b = -33, -2*b = 0. Calculate the remainder when 43 is divided by t.
10
Suppose 0 = 4*i - 36. Suppose 0 = -3*w - d - d + i, -d + 9 = 3*w. Suppose -w*x + 0*x + 54 = 0. What is the remainder when 35 is divided by x?
17
Let w(x) = 84*x**2 - x. Let y be w(-1). Suppose 2*p = -1 + y. Calculate the remainder when p is divided by 15.
12
Suppose 2*m = -9 - 1. Let c = 15 + m. What is the remainder when c is divided by 6?
4
Let t(x) = -x - 1. Let g = 27 - 27. Suppose y + g = 4. What is the remainder when y is divided by t(-4)?
1
Suppose -54 + 2 = -4*j - 3*a, -5*a = j + 4. Calculate the remainder when j is divided by 9.
7
Suppose -45 = -5*d - 0*d. Calculate the remainder when 53 is divided by d.
8
Let d = 6 - -5. Let o(v) = v**3 + 8*v**2 - 12*v - 21. What is the remainder when d is divided by o(-9)?
5
Let x = -153 + 188. What is the remainder when x is divided by 9?
8
Let h = -5 - -10. Suppose p - 11 = -u + 16, -h*u - 2*p = -138. Calculate the remainder when u is divided by 10.
8
Suppose -2*z - 6 + 18 = o, -18 = -3*z + 2*o. Let q = z + 6. Suppose -4*y + 86 = 2*h, 2*y - 2*h = 3*h + 61. Calculate the remainder when y is divided by q.
11
Let q(v) be the third derivative of v**5/60 + v**4/8 - v**3/3 - v**2. Let z be q(-4). Suppose 0 = -5*y + z*y + 36. What is the remainder when y is divided by 7?
5
Let n(v) = -v**3 - 2*v**2 + 5*v - 5. Let y be n(-5). Suppose y = 3*t - 4*a, -2*a - 3 = -3*a. Calculate the remainder when (-35 - 1 - 1)/(-1) is divided by t.
18
What is the remainder when 26 is divided by ((-12)/9)/((-3)/9)?
2
Let c = -58 + 67. What is the remainder when 34 is divided by c?
7
Suppose 47 = 5*r - 118. Suppose -1 = -s + 1. Let l = 15 + s. Calculate the remainder when r is divided by l.
16
What is the remainder when -2 - -36*(-4)/(4*-2) is divided by 10?
6
Calculate the remainder when 1524/36 - (-2)/(-6) is divided by 11.
9
Suppose -7*u + 3 = -6*u. What is the remainder when 4 is divided by u?
1
Suppose 3*a - 5 = 3*x - x, -2*x - 4*a + 16 = 0. Suppose -6 = -x*g - 0. What is the remainder when 6 is divided by g?
0
Suppose 3*x = 2*x + 1. Calculate the remainder when 4/((x/6)/1) is divided by 13.
11
Suppose 7*k - 105 = 2*k. Calculate the remainder when k is divided by 12.
9
Suppose -10 = -5*s - 3*u + 8, -5*u = 2*s - 11. Suppose -s*z = -6*z + 9, -t + 8 = z. Calculate the remainder when 9 is divided by t.
4
Suppose 3*t + 0*t = 45. Suppose 0*s - 23 = -s. Calculate the remainder when s is divided by (-1)/(-3) + 115/t.
7
Let l = -11 - -15. Let a(q) = q**3 - 3*q**2 - 4*q + 5. Let f = -5 - -22. What is the remainder when f is divided by a(l)?
2
Let n = -11 + 17. What is the remainder when 40/n - (-6)/(-9) is divided by 4?
2
Let l(h) = h + 9. Let g be (-2 - 0)*(-20)/(-10). What is the remainder when 13 is divided by l(g)?
3
Let f = -11 + 11. Suppose f = 4*k + k - 130. Calculate the remainder when 77 is divided by k.
25
Let b(y) = 13*y + 1. Let f be (-354)/10 - 6/(-15). Let d = f - -50. Calculate the remainder when b(2) is divided by d.
12
Suppose -3*z - 72 = 3*u, 2*u + 53 + 7 = 2*z. Let j = 45 + u. Let l = 22 - 12. Calculate the remainder when j is divided by l.
8
Let p(y) = -4*y**2 + 22*y + 6. Let n(s) = -s**2. Let o(f) = 5*n(f) - p(f). What is the remainder when o(-14) is divided by 27?
25
Suppose 0 = 60*u - 63*u + 36. Calculate the remainder when 45 is divided by u.
9
Let g(v) = -v**3 - 16*v**2 - 3*v. Calculate the remainder when g(-16) is divided by 11.
4
Let x(y) = y**2 - 7*y - 6. What is the remainder when x(-5) is divided by 19?
16
Let u = 4 + -2. Suppose 17 = u*n - 3*j, -3*n - 9 = -j - 45. Calculate the remainder when 23 is divided by n.
10
Let s(h) = -3*h**2 + 13*h - 8. Let g(d) = -2*d**2 + 13*d - 7. Let w(l) = -4*g(l) + 3*s(l). What is the remainder when 6 is divided by w(-13)?
2
Let b = 7 - 7. Suppose b = -3*s - s - f + 24, 3*f = 3*s - 3. Calculate the remainder when 7 is divided by 6*(s/3 - 1).
3
Let t(w) = -3*w + 14. Suppose 0 = -2*n + 8 - 0. What is the remainder when t(0) is divided by n?
2
Suppose -3*o + 3*g = -13 - 38, 6 = 2*o + 5*g. Suppose 102 = -5*s + 7*s. What is the remainder when s is divided by o?
12
Suppose -4*r - 17 = 2*p + 3*p, -5*p - 21 = 2*r. Suppose u - r*u + 65 = 0. What is the remainder when u is divided by (-1 + -33)/(-35 + 33)?
14
Suppose 0 = 5*p - 11 + 1. Let o be ((-24)/20)/((-4)/10). Suppose -o*m + p = -10. What is the remainder when 6 is divided by m?
2
Suppose -24 + 0 = -2*j. Calculate the remainder when 42 is divided by j/10*50/4.
12
Suppose 0 = 5*z + f - 111, -z - 4*z + 4*f = -106. Calculate the remainder when 85 is divided by z.
19
Suppose 5*l = 2*l + 5*a + 20, 2*l - 2*a = 12. What is the remainder when 42 is divided by l?
2
Suppose -10 = 3*g - 5*g, 2*y - g = 53. Suppose -y = -z - 7. Calculate the remainder when z is divided by 12.
10
Let g(i) = -i + 20. Suppose -5*b + 120 = -b. Calculate the remainder when (b/(-8))/((-6)/32) is divided by g(9).
9
Suppose 5*l = -7 - 3. Let o be l/(-15)*3*30. Suppose -2*j - o = -4*j. What is the remainder when 11 is divided by j?
5
Let r(l) = -l**3 - 6*l**2 + 7*l - 1. Let t be r(-7). Calculate the remainder when 31 is divided by 0 - -17 - (t - -1).
14
Let m = -20 + 42. Let l be 80/45 - (-2)/9. Suppose 0*w - 5*o = -3*w + 56, -l*w = 4*o - 8. Calculate the remainder when m is divided by w.
10
Suppose 4*i = 47 + 185. Suppose s - 19 = -4. Calculate the remainder when i is divided by s.
13
Suppose q + 100 = 5*q. Let m(x) = x**2 - 6*x + 7. Let l be m(10). Let r = l - q. Calculate the remainder when r is divided by 12.
10
Suppose -444 = -21*q + 17*q. What is the remainder when q is divided by 30?
21
Let j(o) = -o + 10. Let b be j(8). Suppose 3*t = -2*s + 59, 69 - 13 = b*t - 2*s. Calculate the remainder when t is divided by 1 + 11 + (6 - 6).
11
Let a = -9 + 11. Suppose 185 = 3*q - 5*m - a, 5*q + 4*m = 324. Suppose 0*l = -l + q. Calculate the remainder when l is divided by 22.
20
Let y be (-7)/(6/9 + -1). Let h = y + -11. What is the remainder when h is divided by 4?
2
Suppose -4*g = -3*y + 77, 5*y - 39 - 128 = -3*g. Calculate the remainder when 123 is divided by y.
30
Let r = -32 - -42. Calculate the remainder when 38 is divided by r.
8
Suppose 0 = z + 12 + 3. Let c = 28 + z. Calculate the remainder when 36 is divided by c.
10
Let d(i) be the third derivative of 0 - 1/2*i**3 + 1/24*i**4 + 4*i**2 + 0*i. Calculate the remainder when 17 is divided by d(12).
8
What is the remainder when (0 + (-644)/(-7))*(2 - 1) is divided by 32?
28
Suppose -5*f + 5*c = -360, -2*f - 3*c - c = -156. What is the remainder when f is divided by 15?
14
Let g(x) = -x**3 + 12*x**2 + 21*x - 67. Suppose -a + 14 = 1. Suppose -a = -r - 0*r. Calculate the remainder when g(13) is divided by r.
11
Let j = 253 - 247. Let z = -25 + 42. What is the remainder when z is divided by j?
5
Let o(c) be the first derivative of -c**3/3 + 7*c**2/2 - 5*c - 1. Let j be o(6). Suppose 2*y = 1 + j. What is the remainder when 3 is divided by y?
0
Let c(f) = -5*f. Calculate the remainder when (-352)/(-6) - (-