+ 8*a**2 - 10*a + 8. What is the remainder when z(n) is divided by 11?
9
Let c(y) = -y + 1. Let i be c(-6). Suppose 5*r - 3 = i. Suppose 16 = 8*h - 0*h. What is the remainder when r is divided by h?
0
Let t = -40 - -44. Calculate the remainder when 11 is divided by t.
3
Let v(w) = w**3 + w**2 + 2*w + 1. Let h be v(-1). Let a(j) = j**2 + j + 3. What is the remainder when a(-5) is divided by 6 + (2 - (1 + h))?
7
Suppose 18*t - 21*t + 48 = 0. Calculate the remainder when 17 is divided by t.
1
What is the remainder when (-360)/(-25) + 4/(-10) is divided by 8?
6
Suppose 4*b - 4*q = 30 + 178, -5*b + 251 = 4*q. What is the remainder when 99 is divided by b?
48
Suppose -5*i + 0 = -3*r + 4, 5*r - i = 14. Calculate the remainder when 9 is divided by r.
0
Let p(t) = -t + 56. Suppose 4*c - 5*h = 86, 31 = 2*c + 4*h + 1. What is the remainder when p(0) is divided by c?
18
Let y = -45 + 82. What is the remainder when 73 is divided by y?
36
Let f(i) = 5*i - 1. Calculate the remainder when 54 is divided by f(3).
12
Let w = -145 - -148. Calculate the remainder when 5 is divided by w.
2
Suppose -d = 2*d + 2*f - 46, -4*d = 3*f - 61. What is the remainder when 47 is divided by d?
15
Let d = -2 + 6. Let y = d + 2. Suppose 10*f = 3*f + 28. What is the remainder when y is divided by f?
2
Let f(p) = p**3 - 5*p**2 - 3*p - 4. Suppose q = -5*a + 27, 0 = a + 4*a - 3*q - 19. Calculate the remainder when f(6) is divided by a.
4
Suppose 0 = -9*y + 4*y + 25. Suppose -a - w + 38 = 4*w, -10 = -2*w. Calculate the remainder when a is divided by y.
3
Let b(f) = -2*f - 8. Let h be b(-6). Suppose -h*z - z = -15. Suppose z*s = -0*s + 6. What is the remainder when 2 is divided by s?
0
Suppose 142 + 58 = 10*p. What is the remainder when 38 is divided by p?
18
Let g(s) = -4*s + 3*s + 2*s + 4 + 2*s + s**2. Calculate the remainder when 31 is divided by g(-4).
7
Let y(u) = 4*u - 22. Calculate the remainder when 7 is divided by y(6).
1
Suppose 0 = 16*m - 17*m + 3. What is the remainder when 4/6 + (-84)/(-9) is divided by m?
1
Let x = -41 + -155. Let l = -111 - x. What is the remainder when l is divided by 22?
19
Suppose -5*h + s + 140 = 4*s, -84 = -3*h + 2*s. Suppose -5*g - 10 = -2*c + 13, 4*g - 4*c + h = 0. What is the remainder when -3*(-2)/g*-17 is divided by 9?
7
Suppose i + 5*r - 4 = 55, 0 = -4*i + 2*r + 126. Suppose -z + 0*z + i = 0. Let f(t) = -t**3 + t**2 + t + 12. What is the remainder when z is divided by f(0)?
10
Let o(q) = q**3 + 11*q**2 + 17*q - 4. Calculate the remainder when 28 is divided by o(-9).
3
Suppose -a + 2 = -3. Calculate the remainder when 7 is divided by a.
2
What is the remainder when 1/(-3 + (-282)/(-93)) is divided by 11?
9
Let f be 12/15*5/2. Suppose -x + f + 8 = 0. Calculate the remainder when x is divided by 6.
4
Let d(p) be the first derivative of 5*p**3/3 + p**2 - 3. Calculate the remainder when d(-3) is divided by 14.
11
Let c = 18 - 6. Suppose 3*g = -3*l - 111, -5*g = l - 3*l - 67. Let p = -14 - l. Calculate the remainder when p is divided by c.
10
Suppose 0 = -2*x + i + 4*i - 4, 3*i = -4*x + 44. Calculate the remainder when -10 + 58 - x/(-2) is divided by 11.
8
Let m = 3 - 12. Calculate the remainder when (-282)/m - 6/(-9) is divided by 11.
10
Let q be 1/(2*(-2)/(-12)). Let n(p) = 5*p - 10. Let z be n(2). Suppose q*v + z*v - 48 = 0. What is the remainder when v is divided by 9?
7
Calculate the remainder when 14 is divided by -7*((-96)/21)/4.
6
Suppose -5*l = -0*l - 60. Let i = 26 - l. Calculate the remainder when i is divided by 8.
6
Calculate the remainder when 71 is divided by (-4)/6 + 74/3.
23
Suppose 0*y = 4*y + 8. Let c = y + 4. Suppose -4 = -p + 1. Calculate the remainder when p is divided by c.
1
Suppose -25 = -2*r - 3*t + 2, -4*r + t + 19 = 0. Calculate the remainder when 6 is divided by r.
0
Let a(p) = p**3 + 9*p**2 + 5*p - 9. Let k be a(-7). Calculate the remainder when 0 - (-1 + 0) - 14*-2 is divided by k/7 - 8/(-28).
5
Calculate the remainder when 6 is divided by (3 + 0)*(-4)/(-6).
0
Calculate the remainder when 3*-1*(-4)/6 is divided by (5 + 39/(-6))*(-8)/6.
0
Suppose -2*m = -7*m + 275. Calculate the remainder when m is divided by 19.
17
Suppose 2*x + 0 = 4*b + 8, -4 = -x + b. Suppose 0 = -c - 1, 2*j - x*j - c = -41. What is the remainder when 82 is divided by j?
19
Suppose 8*y = -12*y + 340. What is the remainder when 28 is divided by y?
11
Suppose 0 = 5*n - 2*n - 84. Let u(w) = w**2 + 2*w + 2. Calculate the remainder when n is divided by u(-4).
8
Let v be 0*((-5)/(-2))/5. Suppose -i - 3*i + 348 = v. Suppose -d - 2*p + 12 = 0, 0*p + i = 4*d - 5*p. Calculate the remainder when d is divided by 10.
8
Calculate the remainder when 134 is divided by ((-56)/42)/((-2)/51).
32
Let v = -4 - 2. What is the remainder when (-162)/v - (-2 + 2) is divided by 6?
3
Suppose 8*q = 5*q + 51. Suppose 4*f = -0*f + 36. Calculate the remainder when q is divided by f.
8
Let u = -7 - -2. Let c = u - -30. What is the remainder when 99 is divided by c?
24
Let l be -3 - -5 - (-1 - -1). Suppose 5*q - 3*d = 131, 0 = 3*d - l - 7. What is the remainder when q is divided by 15?
13
Suppose -5*h - 5*c + 160 = -0*h, c + 5 = 0. Suppose 0*a - 25 = -5*a + 5*i, -30 = -4*a + 2*i. What is the remainder when h is divided by a?
7
Let a(u) = 5*u**2 + 4*u - 1. Let w be a(-3). Let j = w - 12. Calculate the remainder when j is divided by 7.
6
Suppose v = 3*v. Suppose 2*m - 10 = v, -7*m + 2*m = 3*q - 58. Suppose 0 = 5*h - 4*u - u - 80, -5*u = 2*h - q. What is the remainder when 25 is divided by h?
12
Let r(b) = b**2 - 2*b - 3. Let q be r(4). Let a be (2/(-6))/((-1)/(-3)). Calculate the remainder when a/(-2)*(33 + q) is divided by 7.
5
Let t be ((-3 - -2) + 2)*2. Suppose -t*p - 1 + 5 = 0. Let z = 10 - p. Calculate the remainder when 22 is divided by z.
6
Suppose 3*m - 1 = -4*r + 1, -3*r - 3*m = 0. What is the remainder when r is divided by 2?
0
Let j(i) = 5*i**2 - i - 5. Let k be j(4). Calculate the remainder when (-14)/7 - (1 - k) is divided by 23.
22
Let j(o) = -2*o + 8. Calculate the remainder when 25 is divided by j(-3).
11
Suppose 6*w = w - 4*s + 94, -s + 62 = 3*w. Let q = -11 + w. Calculate the remainder when 31 is divided by q.
9
Suppose -5*w = 10 - 45. Let d(q) = -q**2 - 7*q + 3. Let p be (7/(-4))/((-2)/(-8)). Calculate the remainder when w is divided by d(p).
1
Let z(u) = -9*u + 2. Let f be z(2). Let t = -10 - f. Calculate the remainder when t is divided by 2.
0
Let f(h) = 2*h + 7. Calculate the remainder when f(2) is divided by 4.
3
Let v(m) = -m**3 - 2*m - 1. Let y(g) = 4*g - 2. Let c be y(-2). What is the remainder when c/20 + 15/2 is divided by v(-1)?
1
Suppose 2*g - 19 = -7. What is the remainder when 23 is divided by g + -1 + (6 - 3)?
7
Suppose -2*d = -4*b - b - 24, 0 = d + 4*b - 25. Calculate the remainder when 67 is divided by d.
16
Let w = -67 + 111. Calculate the remainder when w is divided by 12.
8
Suppose 2*a = -3*v + 2, -2*v + 2*a + 4 = -14. Calculate the remainder when 6 is divided by v.
2
Suppose 3*d - 19 = 2*d + 5*k, 2*d = -4*k - 4. Let g = d - -2. Calculate the remainder when 10 is divided by g.
4
Let l be (6 + -2)/((-6)/(-9)). What is the remainder when 23 is divided by l/1 - (0 + -2)?
7
Suppose 0 = 3*i + 3*h - 69, 42 + 20 = 2*i - 2*h. What is the remainder when i is divided by 14?
13
Let z(i) = i**3 - 5*i**2 + 3*i + 1. Let y be z(4). Calculate the remainder when (212/6)/((-2)/y) is divided by 18.
17
Suppose 0 = 3*s - 7*s + 12. What is the remainder when 64 is divided by 14 - (s + -6)*1?
13
Suppose -c = 5*v + 7, c + 2 = 4*v + 13. What is the remainder when c is divided by 2?
1
Suppose 1 = -r + 20. What is the remainder when 93 is divided by r?
17
Let h(a) = 2*a**2 + 17*a - 3. Calculate the remainder when 16 is divided by h(-9).
4
Let m(f) = f + 4. Calculate the remainder when 33 is divided by m(8).
9
Let r(w) = w**3 + 10*w**2 - w + 7. Suppose q + 13 = 3. Calculate the remainder when 33 is divided by r(q).
16
Let m = 3 + 9. What is the remainder when 107 is divided by m?
11
Suppose 15*y + 333 = 18*y. Calculate the remainder when y is divided by 38.
35
Calculate the remainder when 79 is divided by 218/14 - (-1)/((-14)/(-6)).
15
Suppose -4*g + 4*x = 3*x - 13, -5*g + 13 = 2*x. Let a be 326/10 + (-12)/20. Suppose -t - a = -g*t. Calculate the remainder when 47 is d