. What is the remainder when x is divided by z(9)?
12
Let b = 102 - 65. Suppose -3*c + b = -53. Calculate the remainder when c is divided by 17.
13
Let x(v) = v**2 - v. Let u be x(4). Let z = -4 + u. Suppose 0 = -w - w + 46. What is the remainder when w is divided by z?
7
Suppose 14 = -4*x - 26. Let a = x - -16. What is the remainder when 21 is divided by a?
3
Let s(l) = 9*l. Suppose -3*u + 8*u = 4*r - 3, -4*r = 3*u - 11. Calculate the remainder when s(r) is divided by 5.
3
Let n = -20 - -28. Let y(a) = 3*a - 9. What is the remainder when y(8) is divided by n?
7
Calculate the remainder when 17 is divided by -1*4 + (4 - -7).
3
Suppose -2*g - 61 = -3*r, -24 = -2*r - 2*g - 0. What is the remainder when r is divided by 6?
5
Let k(h) = -9*h + 1. Let q(w) = -w - 1. Let p(g) = k(g) - 4*q(g). Suppose 0 = -4*y + 6*y + 14. What is the remainder when p(y) is divided by 14?
12
Calculate the remainder when ((-39)/(-9))/(-3 + (-330)/(-108)) is divided by 16.
14
Let v(d) = d**3 + 10*d**2 + 10*d + 1. Let a be v(-9). Let m = 6 - a. What is the remainder when 55 is divided by m?
13
Suppose 3*o = -5*l + 143, 4*l + 26 = o + 1. Suppose -4*b + 51 + o = 0. What is the remainder when b is divided by 5?
3
Suppose 109 = 4*t - 3*r, -3*r + 3 + 0 = 0. Calculate the remainder when 53 is divided by t.
25
Let o = -22 - -36. Let n(d) be the third derivative of d**4/24 + 20*d**3/3 + 2*d**2. Calculate the remainder when n(0) is divided by o.
12
What is the remainder when 5 is divided by 3*(-1 - (-32)/12)?
0
Let y = -101 + 145. Calculate the remainder when y is divided by 9.
8
Let l = 1 - 1. Let h(n) = -n**3 + 4*n**2 + 7*n - 3. Let o be h(5). Let j = l + o. Calculate the remainder when 12 is divided by j.
5
Let f = 3 + -6. Let p = f + 3. Suppose -4*j = 4*w - 172, -3*j + p*w + w = -109. Calculate the remainder when j is divided by 20.
18
Let n(h) = h - 28. Let o be n(0). Let s be o/(-12) - (-2)/3. Suppose 2*q + 3*g - 9 - 28 = 0, 0 = -s*q + 2*g + 23. What is the remainder when 32 is divided by q?
10
Suppose 4*g = -m + 31, -6*m = -m + 3*g - 138. Calculate the remainder when m is divided by 7.
6
Suppose 4*n = 3 + 17. Suppose n*t - 2 = 13. Suppose 0*b + 105 = t*b. What is the remainder when b is divided by 12?
11
Let w be (-1 + 4)/(6/92). Let v = 10 - 2. What is the remainder when (2 - w/(-2)) + -2 is divided by v?
7
Let f = -33 - 22. Let w = f + 78. What is the remainder when 66 is divided by w?
20
What is the remainder when 15 is divided by -7*(4/42 + 4/(-6))?
3
Let t(o) = -o - 10. Let n be t(-14). Suppose -2*g + 38 = 3*m, -5*g = -n*m + 2*m - 57. What is the remainder when g is divided by 4?
1
Suppose 7 = -7*j + 3*j - 5*b, -j = b + 1. Let i(t) = 7*t**2 + 2. Calculate the remainder when i(j) is divided by 8.
6
Suppose 0 = -4*y + 8 + 4. Calculate the remainder when 11 is divided by (-2)/2*y*-1.
2
Let p(s) = -s**3 + 17*s**2 + 19*s - 4. Let v(u) = -u + 4. Calculate the remainder when p(18) is divided by v(-4).
6
Suppose -3*y = -5*t - 75, y + 1 = -t + 18. What is the remainder when 56 is divided by y?
16
Let n be ((-3)/(-6))/((-2)/4). Let i be ((-1)/(-1))/(n/3). Let h(d) = d**2 - 2*d - 4. What is the remainder when 20 is divided by h(i)?
9
Let t(p) = p**2 + 5*p - 6. Let u be t(-6). Suppose -5*q + 1 - 11 = u. What is the remainder when 321/9 + q/3 is divided by 12?
11
Suppose 6 = 5*f + 3*d, -d = f + 4*f - 2. Suppose 5*b + 2*z - 102 = f, -4*b + 0*z + 75 = -5*z. Calculate the remainder when 79 is divided by b.
19
Suppose -18 = 2*j - 96. Let q(x) = -2*x**3 - 3*x**2 - 4*x - 1. What is the remainder when j is divided by q(-2)?
6
Calculate the remainder when 45 + -1 + 3/6*-4 is divided by 12.
6
Suppose 2*h - 88 = 4*d - 2*h, -5*h = -2*d - 53. Let z = -13 - d. What is the remainder when 22*(6/(-4) - -2) is divided by z?
5
Let y(k) = k**2 - 4*k + 6. Let m(o) = 2*o - 3*o - 13 - o - 4*o. Calculate the remainder when m(-9) is divided by y(5).
8
Let u be (9/(-6))/(2/(-4)). Suppose 4*i - 125 = -5*h, 2*i + 28 - 101 = -u*h. Calculate the remainder when h is divided by 11.
10
Let r be (-2 + 6)*(-177)/(-12). Let n = r + -31. What is the remainder when n is divided by 6?
4
Suppose 0 = -5*x - 4*a + 177 + 96, 169 = 3*x + 5*a. Calculate the remainder when x is divided by 8.
5
Let d(g) = g**3 + 10*g**2 - g - 8. Let t be d(-10). Let j be (7/(-14))/(t/(-12)). Suppose 2*v - 95 = -j*v. What is the remainder when v is divided by 7?
5
Let x = 3 - 1. Suppose -4*o - 4*s = -o - 28, -4*o + x*s = -52. Suppose -t + 4*v = -o, 0*v = -2*v. Calculate the remainder when 35 is divided by t.
11
Suppose 39 + 241 = 4*b. Calculate the remainder when b is divided by 19.
13
Suppose 5*a - 20 = 5*f - 3*f, 2*a + 4*f + 16 = 0. Suppose -3*b = -5*x + 54, -5 + a = b. What is the remainder when 17 is divided by x?
8
Let h = -12 + 19. Suppose p = -2*j - 0 - 3, -2*j - 9 = -5*p. What is the remainder when ((-8)/(-6))/(j/(-30)) is divided by h?
6
Let r(v) = -v**2 - 11*v - 7. Let w be r(-10). Suppose w*x - 7 = -4. What is the remainder when 3 is divided by x?
0
Let x(o) = o + 7. Calculate the remainder when 18 is divided by x(0).
4
Let q = 4 + -2. Suppose q*y - 7 = -4*m + 17, 25 = -5*m. Suppose -6*o - 12 = -7*o. What is the remainder when y is divided by o?
10
Let q(v) = 2*v**2 + v - 4. Let n = -29 - -52. Suppose 2*p = r + n, 2*p + 2*r - 21 = 11. What is the remainder when q(-4) is divided by p?
11
Let n = 72 + -69. Calculate the remainder when 11 is divided by n.
2
Let h = -22 + 50. Suppose -c - 2*c + 30 = 0. What is the remainder when h is divided by c?
8
Suppose 0*a = 3*a - 45. Let z be (-54)/4*(-10)/a. Suppose -3*w = -3*l + 6*l - 51, 3*l = z. What is the remainder when w is divided by 5?
4
Suppose 5*c = 4*t - 189, -2*c = -2*t - c + 93. What is the remainder when t is divided by 12?
10
Suppose -w - 2 = -0*w, 3*t = w + 26. Let z be 3*2/(-6)*2. What is the remainder when ((-1)/z)/(2/60) is divided by t?
7
Suppose -4*d + 75 + 17 = 2*q, -d + 33 = -2*q. Let c be 8/(0 + 6/(-21)). Let r = -15 - c. What is the remainder when d is divided by r?
12
Let y(c) = c**3 + c**2 + 2. Let w be y(0). Calculate the remainder when w + -1 - (-4 - 17) is divided by 8.
6
Let r(i) = i + 13. Calculate the remainder when 12 is divided by r(-6).
5
Suppose -77*b = -81*b + 8. Calculate the remainder when 7 is divided by b.
1
Let d = -1 - 2. Let x = d + 22. Let f(y) = 2*y**2 + y. Calculate the remainder when f(4) is divided by x.
17
Let m(y) = -y**3 - 7*y**2 - 9*y - 8. Let w = 35 + -32. Calculate the remainder when m(-6) is divided by w.
1
Suppose 42 = 2*q - 0*v - 2*v, 0 = 5*q - 4*v - 110. Let l = 71 - q. What is the remainder when l is divided by 12?
9
Let b(g) = -g**2 + 13*g + 5. Suppose 0 = 3*l - 87 - 72. What is the remainder when l is divided by b(11)?
26
What is the remainder when 32 is divided by ((-1)/(-2))/((-4)/(-144))?
14
Let d be 4 - (-1)/(3/6). Suppose -d*c + 100 = -2*c. Calculate the remainder when c is divided by 7.
4
Let n = -42 - -26. Suppose 14 = 3*k - 73. What is the remainder when k is divided by (-4)/n - 78/(-8)?
9
Suppose 0 = -4*x + 152. What is the remainder when 111 is divided by x?
35
What is the remainder when 57 is divided by (-216)/(-14) - 15/35?
12
Let i(g) = -g - 5. Let u be i(9). Let w = 5 - u. What is the remainder when w is divided by (10/3)/((-4)/(-6))?
4
Let k(q) = 8*q**2 + 2. Let m be k(-3). Suppose -3*n - 2*u + 62 = 0, 3*n - 2*u - m = -4. Calculate the remainder when n is divided by 30/(-1)*(-8)/20.
10
Let u = -610 - -222. Let w be u/(-14) - (-2)/7. Let t = w + -4. Calculate the remainder when t is divided by 13.
11
Let o(p) = p - 2. What is the remainder when 9 is divided by o(5)?
0
Let g = -7 - -18. Calculate the remainder when 12/(-54) - (-182)/9 is divided by g.
9
Suppose u + 0*u = 2*p - 3, 4*p = 4*u - 4. Suppose -44 = -p*z + 12. What is the remainder when z is divided by 5?
4
Let x(v) = v + 2. Let g be x(0). Suppose 7*o = g*o + 125. Suppose 0 = -5*z + o, -5*d + 5*z + 7 = -43. What is the remainder when 28 is divided by d?
13
Let g(h) = -h - 8. Let n be g(-8). Let y be (-3 + (-16)/(-6))*n. What is the remainder when 4 is divided by (3 - (y + -2)) + -3?
0
Suppose -4*j - 5*g = 145, 3 = 2*g - 3. Let l = 57 + j. Calculate the remainder when l is divided by 10.
7
Let i(t) = -t**3 + 10*t**2 - 11*t - 2. Suppose 80 = 4*y - 0*y. Calculate