
5
Let b(d) = -7 + 18*d + 0*d**2 - 6*d - d**2 + d. What is the remainder when b(12) is divided by 2?
1
Let k(m) = 8*m - 7. Let y(d) = -d + 10. Let c be y(4). Calculate the remainder when k(c) is divided by 11.
8
Suppose 0 = -5*m - 0*m + 20. Suppose m*t = 17 - 1. Suppose -5*y - n + 30 = -2*n, -4*n - 6 = -y. Calculate the remainder when y is divided by t.
2
Let f(s) = s**3 + 3*s**2 + 2*s + 2. Let i be f(-2). Let j be i/((-48)/(-46) + -1). Suppose -x - x = -j. What is the remainder when 68 is divided by x?
22
Suppose -20 = -4*s + 4. Suppose s*d - 51 = 3*d. Suppose 0 = 3*g + 28 - 178. What is the remainder when g is divided by d?
16
Let f = -10 - -35. What is the remainder when f is divided by 13?
12
Calculate the remainder when 15 is divided by 36/9 - -4*1.
7
Suppose -2*x = 2*m - 64, 0*m + 2*m + 81 = 3*x. Calculate the remainder when x is divided by 15.
14
Suppose -u - 5*a = -8*a + 6, -5*a = 4*u - 44. What is the remainder when 31 is divided by u?
1
Let v(g) = g**3 + 13*g**2 - 15*g + 3. Calculate the remainder when 48 is divided by v(-14).
14
What is the remainder when 8/2 + (-1 - -30) is divided by 18?
15
Let u be (0 + (3 - 3))/3. Suppose d - 9 - 11 = u. What is the remainder when 78 is divided by d?
18
Let d(q) = q**3 - 12*q**2 + 2*q + 17. What is the remainder when d(12) is divided by ((-8)/2)/(10/(-35))?
13
Let a = -7 - -16. Suppose -4*z + a*z - 25 = 0. Suppose 17 = -z*b + 157. Calculate the remainder when b is divided by 15.
13
Let y(q) = q**3 - 10*q**2 + 5. Suppose -2*s = 3*k - 4 - 2, 0 = -3*k. Calculate the remainder when y(10) is divided by s.
2
Let o = 43 - 30. Suppose 3*j = j - 8. Let p = 9 + j. Calculate the remainder when o is divided by p.
3
Suppose -3*j + 2*p = 43, 0 = p - 4*p - 3. Let u = 34 + j. Calculate the remainder when u is divided by 7.
5
Suppose -3 = 4*o + 5. Let t = o + 5. Suppose t*b - 26 = 13. Calculate the remainder when b is divided by 5.
3
Calculate the remainder when 127 is divided by (24/(-9))/(4/(-48)).
31
Suppose 132 = 3*z - 3*i, -4*i - 219 = -5*z - 0*i. Suppose -j + 12 = 3*j. Suppose j*u - u = 30. Calculate the remainder when z is divided by u.
13
Suppose 3*z + 17 - 161 = 0. Let t = z + -33. What is the remainder when 57 is divided by t?
12
Let q = 5 + 15. Let o = q - 8. Suppose -7*c = -2*v - 4*c + 13, -c - 6 = -v. What is the remainder when o is divided by v?
2
Let n be (13/4)/(10/(-40)). Calculate the remainder when 47/(-3)*39/n is divided by -10*(1 - (-13)/(-5)).
15
Let h(o) = -2*o**3 + o**2 - 1. Let d be h(-1). Let q be 80/14 - d/(-7). Suppose 0 = 5*i, -q*v = -2*v + 3*i - 12. What is the remainder when 7 is divided by v?
1
Let m(i) = i**3 - 4*i**2 + 4*i + 1. What is the remainder when 7 is divided by m(3)?
3
Let v(r) = r**2 + 5*r - 14. Calculate the remainder when v(6) is divided by 27.
25
Calculate the remainder when (-372)/(-3) + (2 - 3) is divided by 21.
18
Suppose -4*q + 2*q + 6 = 0. Suppose 8 = -4*g + q*g. Let k = 14 + g. Calculate the remainder when 11 is divided by k.
5
Suppose -x + 2 = 0, 4*q - 193 - 437 = x. What is the remainder when q is divided by 27?
23
Calculate the remainder when 9 is divided by 4 + (-1 - 1) + 2.
1
Suppose 3*k - 5*j + 14 = 0, -k - 14 = -6*k - j. Let n(w) = -2 + k*w**2 + 0 + 1 - 2*w + w**3. Calculate the remainder when 31 is divided by n(2).
9
Suppose -n - 45 = -2*n. Suppose -5*s + 3*i + 32 = -19, -60 = -4*s - 4*i. What is the remainder when n is divided by s?
9
Let p(x) = x**2 + 15*x - 28. What is the remainder when 1 + -2 + (0 - -23) is divided by p(-17)?
4
Let b = 116 - 93. Calculate the remainder when 108 is divided by b.
16
Let a = -8 + 15. Calculate the remainder when a is divided by 2.
1
Suppose -173 - 198 = -5*w + 4*l, 2*w + 4*l = 154. What is the remainder when w is divided by 19?
18
Let x(i) = i**2 - i. Suppose -4*b + 0*l + 25 = 3*l, 4*b - 2*l = 10. Suppose b*c - 4 = 4. Calculate the remainder when 4 is divided by x(c).
0
Let h = 37 + -29. Suppose -2*g = 4*c - 12, 4*g = -3*c - 0*c + 19. Calculate the remainder when (-1 - c)/((-6)/39) is divided by h.
5
Let s = -76 + 177. Calculate the remainder when s is divided by 34.
33
Suppose 1 + 7 = 2*s. What is the remainder when 6*(8 + -1 + s) is divided by 17?
15
Let m(s) = -3*s - 9. Let g be m(-6). Calculate the remainder when -3*(300/g)/(-2) is divided by 13.
11
Let h = 3 + 9. Calculate the remainder when 23 is divided by h.
11
Let l = 11 + 7. Suppose l = 5*m - 12. Calculate the remainder when 11 is divided by m.
5
Let p = 120 - 32. Calculate the remainder when p is divided by 9.
7
Let b = -25 - -32. Calculate the remainder when 19 is divided by b.
5
Suppose 3*t + 6 = 5*g + 91, -4*t - 2*g + 96 = 0. What is the remainder when t is divided by 14?
11
Let n(d) = -25*d - 6. What is the remainder when n(-1) is divided by 12?
7
Let u = -11 + 23. Let f(m) = m + 11. Calculate the remainder when 68 is divided by f(u).
22
Let k(u) be the second derivative of u**3 - u. Suppose 3*l - 140 = -4*o, -2*o - 2*l = 3*l - 70. What is the remainder when o is divided by k(2)?
11
Let x(t) = 0*t**3 - t**3 + 6 + 6*t - 5*t**2 + 0*t**3. What is the remainder when 9 is divided by x(-6)?
3
Let n = 138 + -123. What is the remainder when 102 is divided by n?
12
Let j be 390/(-26)*17/(-5). Let t = 24 - 41. Let d = t + j. Calculate the remainder when d is divided by 12.
10
What is the remainder when 35 is divided by 0 + -12*(-4)/6 + 1?
8
Let q be 2 + (-2 - -1)*0. Suppose 0*v + 1 = q*v - b, v + 1 = b. Suppose -z = -4*z + 6. What is the remainder when v is divided by z?
0
Let g be (16/(-3))/((-10)/(-45)). What is the remainder when 13 is divided by (g/8)/((-6)/8)?
1
Let q(r) = r**3 - 3*r**2 - 2*r. Let i(z) = -2*z - 6. Let n be i(-9). Let d be 28/6 - (-4)/n. What is the remainder when q(d) is divided by 14?
12
Let g(i) = -4*i - 1. Suppose 0 = -4*h - 149 + 45. Let d = h + 37. Calculate the remainder when g(-5) is divided by d.
8
Suppose -4*f + 2*z + 1802 = 0, -2*z - 5 = 3*z. Suppose -3*u = -8*u + f. Calculate the remainder when u is divided by 23.
21
Let g = 38 - 32. What is the remainder when 16 is divided by g?
4
Suppose 0 = 3*f - 4*z + 24 - 88, z = -4. What is the remainder when 46 is divided by f?
14
Let l(w) = 2*w**3 + 3*w**2 + 2*w + 1. Suppose -x = -j + 2*x + 12, -4*x - 29 = 3*j. Let y be l(j). Let s = y + 51. What is the remainder when s is divided by 7?
5
Suppose 0 = 7*a - 2*a. Let n(r) = -r**2 + 5. Let v be n(a). Suppose -v*s + 3*q = -84, s + q - 3 - 9 = 0. Calculate the remainder when s is divided by 6.
3
Let v = 175 - 106. Calculate the remainder when v is divided by 10.
9
Suppose 2*v + 4 - 28 = 0. Calculate the remainder when (-4)/14 - (-466)/14 is divided by v.
9
Let p(o) = 2*o**2 - 4*o + 5. What is the remainder when p(6) is divided by (-168)/(-9) - (-6)/(-9)?
17
Suppose 3 = 4*t + 19. Let k = t + 9. Suppose -3*g - 4*n = -41, -g = -3*g - n + 34. Calculate the remainder when g is divided by k.
4
Suppose -3*y = -b + 22, -5*b + 46 = -b + 2*y. Let a = b + -9. Calculate the remainder when 14 is divided by a.
2
Suppose 3*i + 3 = -6, -2*s = 4*i - 54. Calculate the remainder when 97 is divided by s.
31
Let m = 40 - 75. Let l = -19 - m. What is the remainder when l is divided by 9?
7
Suppose -3*s + 7 = 2*z - 0*s, 2*z = 4*s. Calculate the remainder when 13 is divided by z.
1
Calculate the remainder when 158*1*(-8 + 9) is divided by 32.
30
Suppose 2*q = -n - 35, 0 = 4*q + n + 4*n + 55. Suppose f + 5 + 3 = 0. Let z = f - q. What is the remainder when z is divided by 7?
5
Let s = -7 - -11. Suppose -s*n = -h - 16 - 31, 31 = 2*n - 3*h. Calculate the remainder when 21 is divided by n.
10
Suppose 8*q + 45 = 11*q. Calculate the remainder when 58 is divided by q.
13
Let r = -14 - -61. What is the remainder when r is divided by 25?
22
What is the remainder when (85/(-10))/(2/4*-1) is divided by 9?
8
Suppose o - 2*d - 10 = 0, -5*d - 16 - 16 = -3*o. Let u = -2 - -6. Let j(t) = -t**3 + 3*t**2 + 5*t + 1. What is the remainder when o is divided by j(u)?
4
What is the remainder when 272/3 - 8/12 is divided by 46?
44
Let b = -21 - -29. Calculate the remainder when 29 is divided by b.
5
Suppose 41*b + 80 = 46*b. What is the remainder when 30 is divided by b?
14
Suppose 0 = 5*o + y - 166, 3*o = 3*y - 4*y + 100. Calculate the remainder when 162 is divided by o.
30
Let g(s) =