 20 = -p*x. What is the remainder when 13 is divided by x?
3
Let n = 7 - 4. Suppose -j + 16 = j. Calculate the remainder when j is divided by n.
2
Calculate the remainder when (-363)/(-15) + (-4)/20 is divided by (182/(-21))/(4/(-6)).
11
Let a(o) = 3*o - 7. Let p be a(11). Suppose 4*l = 46 + p. What is the remainder when 35 is divided by l?
17
Suppose -3 + 7 = 4*n, 4*y - 6 = 2*n. Suppose p = 2*a - 0*p - 53, 0 = -y*p + 6. Calculate the remainder when a is divided by 10.
8
Let k = 8 + -9. What is the remainder when k/(-2)*-2 + 59 is divided by 15?
13
Suppose 0*x = 4*m + 3*x - 144, 5*x = -4*m + 152. What is the remainder when m is divided by 38/4 - (-1)/(-2)?
6
Suppose 3*c = -c - 40. Let b(a) = -a + 4. What is the remainder when (-2*1)/(c/225) is divided by b(-12)?
13
Let j = -101 - -169. Suppose 3*n - n = j. Suppose 3*x + t = 35, 0*t - 57 = -5*x - 3*t. Calculate the remainder when n is divided by x.
10
Suppose l = -3*l + 4. Suppose -i = -9 + l. Suppose -2*n - 2*u = -3*n + i, 17 = 2*n - 3*u. Calculate the remainder when 29 is divided by n.
9
What is the remainder when 82 is divided by 0 + 13 + -3*3/9?
10
Let r(g) = -g**3 + 12*g**2 - 10*g - 4. Let u be r(11). Let v = u + -3. Calculate the remainder when 10 is divided by v.
2
Let b = 23 + -2. Let h = b + -15. What is the remainder when 10 is divided by h?
4
Suppose 4*b = -3*u + 325 + 2, -2*b - 119 = -u. What is the remainder when u is divided by 19?
18
Suppose -10 = -4*q + 2*q. Suppose -q*l + 144 = -l. What is the remainder when l is divided by 19?
17
Suppose -4*v = -19 - 17. What is the remainder when 32 is divided by v?
5
Let q(u) = -u**3 + 5*u**2 - 4*u. Let y be q(5). Let r = y + 48. What is the remainder when r is divided by 15?
13
Suppose k + 72 = 4*k. What is the remainder when 46 is divided by k?
22
Suppose -2*m - 4*l = 2, 0 = m + l - 2*l - 8. Suppose 55 = 5*h + 4*j, -m*h = -h - 4*j - 80. Let o = 62 - h. What is the remainder when o is divided by 12?
11
Let t(s) = s**3 + 7*s**2 - 9*s - 4. Let i be t(-8). Suppose -3*o - o = i*v - 92, 3*v - 5*o = 45. What is the remainder when 77 is divided by v?
17
Let b = 27 - 19. Let q(j) = -14*j + 22. Let d(k) = -5*k + 7. Let u(o) = -17*d(o) + 6*q(o). What is the remainder when u(9) is divided by b?
6
Let h = 8 + -5. Suppose 5*y + 5*v = 90, h*v + 5 = 2*y - 11. What is the remainder when y is divided by 4?
2
Let u(n) = n**2 - 3*n + 1. Let t be u(3). Suppose -21 = -5*m - t. Calculate the remainder when 9 is divided by m.
1
Let h = -93 + 136. Calculate the remainder when h is divided by 23.
20
Suppose 15 = 4*j + 3. Suppose -5*b = j*i - 60 + 6, 3*b = -4*i + 28. What is the remainder when 43 is divided by b?
7
Let f(w) = w**2 - w - 38. What is the remainder when f(11) is divided by 15?
12
Suppose -5*c + 13 = 3*m, 3*m + 5 = -c + 10. Let s = -13 - -14. Suppose -s = -3*l + 2*l. What is the remainder when c is divided by l?
0
Suppose -51 - 39 = -3*d. What is the remainder when 87 is divided by d?
27
Let s(k) = k + 12. Let f be s(-9). Suppose -r - f*t = -4, 2*r + 2*t - 33 + 9 = 0. Calculate the remainder when 30 is divided by r.
14
Let n(r) = 4*r - 4. Let h be (-2)/(4/(-6)) - -2. Calculate the remainder when (-1)/5 - (236/(-5) + 0) is divided by n(h).
15
Suppose -10 = -b - k - 2, -k + 18 = 3*b. Calculate the remainder when 6/(-3)*(-7 - 0) is divided by b.
4
Let h = -11 - -22. Calculate the remainder when (-18)/45*(-310)/4 is divided by h.
9
Let j = 20 + -7. What is the remainder when 38 is divided by j?
12
Let y be 33/15 + (-3)/15. Suppose -2*d - y*s - 8 = -s, 2*d + 20 = 2*s. Let w(m) = -m**2 - 8*m - 8. What is the remainder when 11 is divided by w(d)?
3
Let d(m) = 13*m - 73. What is the remainder when 28 is divided by d(7)?
10
Suppose 2*k - 92 = -0*k + 2*i, -5*i - 130 = -3*k. Calculate the remainder when k is divided by 1 - (1 - 2)*12.
11
Let w = 4 + -7. Let u = 3 - w. Suppose 0 = -j - 3 + u. What is the remainder when j is divided by 2?
1
Let l = -9 - -12. Let w(h) = -h**2 + 5*h. Calculate the remainder when w(l) is divided by (-2)/8 - 17/(-4).
2
Suppose 3*o - 680 = -131. Suppose 3*m - o = -0*m. What is the remainder when m is divided by 16?
13
Let j be (1/3)/((-2)/(-30)). Let n = j - 2. Suppose -12 = -v + n. What is the remainder when v is divided by 8?
7
Let x = -8 - -14. Suppose 5*q - 5*v = 100, 3*q + 4*v - 26 = 6. Calculate the remainder when q is divided by x.
4
Let k(o) = 7*o**2 - 3*o - 5*o - 3*o**3 + 4*o**3 + 5. Calculate the remainder when ((-18)/(-4))/(1/2) is divided by k(-8).
4
Let p = 294 + -171. What is the remainder when p is divided by 31?
30
Suppose 30*c - 26*c = 56. What is the remainder when (-50)/(-8)*4/1 is divided by c?
11
Let v(w) = 4*w**2 - 3*w + 1. Calculate the remainder when v(-3) is divided by 12.
10
Suppose -7*i = -7 - 238. Suppose 0 = -7*z + 4*z + 54. What is the remainder when i is divided by z?
17
Let z = -11 + -4. Let p be (-6)/z - (-34)/(-10). Let s(u) = 4*u**2 + 4*u - 1. Calculate the remainder when s(p) is divided by 12.
11
Suppose -7*o = -8*o + 30. Calculate the remainder when o is divided by 16.
14
Suppose 15 + 18 = 3*n. Let a = 1 - 0. Suppose -5*v + a + 104 = 0. Calculate the remainder when v is divided by n.
10
Calculate the remainder when (-4 + -130)*1/(-2) is divided by 18.
13
Let j = 9 - 5. Suppose -j*h - y = -1 - 3, -4*y = -16. Suppose -2*c + 3*t + 2*t + 22 = h, 5*c + 2*t - 55 = 0. Calculate the remainder when 20 is divided by c.
9
Suppose -f = -4*d + 2*d + 35, -4*d + 5*f = -67. What is the remainder when d is divided by 5?
3
Let i(j) = 41*j**2 - 2*j - 1. Calculate the remainder when i(-1) is divided by 22.
20
Suppose -3*c = -5*j + 31, 2*c = -4*j + c + 35. Calculate the remainder when 4/(-6) + (-88)/(-6) is divided by j.
6
Suppose -48 = -5*n - 3*c, -4*n - 2*c + 41 = 3*c. Calculate the remainder when 24 is divided by n.
6
Let b(j) = -4 - 5*j**2 + j + 4*j + 6*j**2. Calculate the remainder when b(-6) is divided by 1.
0
Let p(i) be the second derivative of i**3/6 + 4*i**2 + 6*i. Suppose 3*c = u - 47, 5*u - c - 283 = 2*c. Calculate the remainder when u is divided by p(7).
14
Suppose -1 + 3 = t. Suppose -t*g - g = -27. What is the remainder when g is divided by 5?
4
Let x(i) = i**2 - 5*i - 4. Let t be x(5). Let c be (-10)/(-4)*6/(-15). Calculate the remainder when (t/10)/(c/35) is divided by 8.
6
Suppose -10 - 13 = -n. Calculate the remainder when 42 is divided by n.
19
Let u(t) = -t**2 + 16*t - 13. Let k be ((-2)/6)/(8/(-144)). Calculate the remainder when u(k) is divided by 16.
15
Suppose -5*r + 2*b + 101 = 0, -5*r - 2*b + 55 = -34. Let c = -83 + 119. Calculate the remainder when c is divided by r.
17
Let v be 0 - (0/2)/(-2). Let c(d) = -8*d + v*d + 6*d + 6 + 2*d**2 - d. What is the remainder when c(4) is divided by 14?
12
Let y(v) = -7*v - 176. Let c(w) = -11*w - 264. Let b(m) = 5*c(m) - 8*y(m). What is the remainder when b(0) is divided by 30?
28
Let h = 2 + 0. Suppose -4 = -h*t + 72. Let v(d) = 21*d - 1. What is the remainder when t is divided by v(1)?
18
Let q(t) = -t**3 + 5*t**2 + 4*t - 6. Suppose 2*p - 4*l - 4 = -6, -12 = -4*l. Calculate the remainder when q(5) is divided by p.
4
Suppose 25*g = 19*g + 6. Calculate the remainder when 6 is divided by g.
0
Suppose 4*h = -5*d + 72, 5*h - 5*d = -0*d + 90. What is the remainder when 71 is divided by h?
17
Let b = 163 + -104. Calculate the remainder when b is divided by 6.
5
Let t(v) = -v**3 - 8*v**2 + 9*v + 12. What is the remainder when 93 is divided by t(-9)?
9
Suppose 5*q - 92 = -3*h, -79 = -4*q + 4*h - h. Suppose -18 = -2*s + 34. Suppose s = -4*v + 66. What is the remainder when q is divided by v?
9
Let w be 103 - -2 - 1/(-1). Let n = -67 + w. Calculate the remainder when n is divided by 10.
9
Let g(h) = 8*h**2 - 2*h - 10. What is the remainder when g(4) is divided by 28?
26
Let o(v) = v**2 + 2*v - 1. Let b be o(-3). Let t be 4/14 - 108/(-14). Suppose 12 = y - 2*c, -b*y + 2*c = -8 - t. What is the remainder when 11 is divided by y?
3
Let l be (18/(-12))/(3/(-20)). Suppose 0 = -4*u - u + l. Suppose 20 = u*n - n. What is the remainder when 39 is divided by n?
19
Suppose -4*b = -3*k + 71, 2*k - 8*b + 3*b - 52 = 0. Suppose -2*f + f + 8 = 0. Calculate the remainder when k is divided by f.
5
Suppose 0 = -m + u + 33, 0 = -2*m - 2*u + 31 + 23. What is the remainder when 119 