en x is divided by 16.
15
Let j = 5 + -3. Suppose 0 = -j*i - 4*u, -2*u - 15 = -5*i + 9. What is the remainder when 11 is divided by i?
3
Let k(w) = -w**2 + 9*w - 2. Let o be k(6). Let x = o - 3. What is the remainder when 37 is divided by x?
11
Suppose 0 = 2*k + 3*s - 15, 5*k - 5*s = 2*k + 13. Let z = 20 - k. What is the remainder when 40 is divided by z?
12
Let v be (-130)/18 + 4/18. Let u be v*(-5)/((-35)/6). Calculate the remainder when (-5 + 1)*39/u is divided by 7.
5
Let b(w) = w + w + 3 - 6*w - 2. Let z be b(2). Let o = z - -51. What is the remainder when o is divided by 15?
14
Let r be (-10)/(-4)*(-72)/(-20). Let b(x) be the second derivative of -x**4/12 + 11*x**3/6 - 5*x**2 + x. Calculate the remainder when 22 is divided by b(r).
6
Let p = 77 + -45. What is the remainder when p is divided by 17?
15
Let r(m) = 5*m + 7. Let y be r(5). Let i = y - 23. Calculate the remainder when 26 is divided by i.
8
Suppose 0 = -5*s - 44 + 144. Calculate the remainder when 2 + 2 + 36 + -1 is divided by s.
19
Let h be (-3 - -2)*(-10 + -1). Suppose 0 = -2*f + 3*s - 3, -2*f - f = -5*s + 3. Let a = h + f. Calculate the remainder when 13 is divided by a.
3
Suppose 23 = 4*l + 5*i, -l - 2*i - 1 = -9. Let y be (-4)/(-6)*(-15)/2. Let c = l - y. Calculate the remainder when 13 is divided by c.
6
Suppose 5*o + 3*a + 16 = 109, -5*a = 4*o - 64. What is the remainder when (-2)/3 - (-623)/o is divided by 16?
13
Suppose 2*h - 4*t = 18, -4*h - 3*t = 2*t - 75. Calculate the remainder when h is divided by 4.
3
Let g(j) = -4*j + 5. Let h be g(-4). Let t(b) = -b**2 - 2*b - 1. Let z be t(-3). Let l = h - z. What is the remainder when l is divided by 7?
4
Let f be -2*1 - (-21 + 1). Suppose 5*p = 2*p + f. Calculate the remainder when 3 is divided by (-3)/(0 - 9)*p.
1
Let o(y) = 3*y - 7. Let m be o(6). Let h = 26 - m. Calculate the remainder when 58 is divided by h.
13
What is the remainder when 1 + 1378/14 + (-3)/7 is divided by 51?
48
Suppose 4*l + 3*y - 5 - 14 = 0, -2*l + 3*y = -23. What is the remainder when 20 is divided by l?
6
Let x = 9 - 1. Suppose 0 = 5*u + x - 78. What is the remainder when 25 is divided by u?
11
Let u = 153 - 135. Calculate the remainder when 25 is divided by u.
7
Suppose 5*f - 85 = -4*m, -5*m = 5*f - 0*m - 90. Let g(n) = 11*n - 4. What is the remainder when g(5) is divided by f?
12
Suppose 7*c - 33 - 16 = 0. Calculate the remainder when 69 is divided by c.
6
Let p = 5 + 23. Calculate the remainder when p is divided by 8.
4
Let i be (-2*(-6)/(-2))/(-2). Let a = i + 28. Let c = 43 - a. What is the remainder when 22 is divided by c?
10
Let l(y) = 14*y - 9. What is the remainder when 33 is divided by l(2)?
14
Suppose -3*p + 10 = -2. Let g = -7 + 15. Suppose -l = i - p, l = 3*i - g*i - 8. What is the remainder when 12 is divided by l?
5
What is the remainder when 12 is divided by (-6 - (-3)/(-3))*-1?
5
Suppose -6*i - 3*i + 531 = 0. What is the remainder when i is divided by 20?
19
What is the remainder when 50/(-15)*(-204)/10 is divided by 23?
22
Suppose 0 = -424*b + 423*b + 31. What is the remainder when b is divided by 17?
14
Let t be 30 - (-6)/(-4 + 1). Suppose t = 2*l - 4. Let r(y) = 2*y**2 - 13*y + 1. Calculate the remainder when r(9) is divided by l.
14
Let u(b) = b**3 + 7*b**2 + 5*b + 19. Calculate the remainder when 75 is divided by u(-6).
0
Let k(v) be the first derivative of -11*v + 1 - 3/2*v**2 + 8/3*v**3 + 1/4*v**4. Calculate the remainder when 50 is divided by k(-8).
11
Let q(a) = -3*a + 8. Let h be q(8). Let t = -11 - h. What is the remainder when t is divided by 3?
2
Let n = 5 + -1. Let j = 17 + -10. What is the remainder when j is divided by n?
3
Let i(z) = -z**3 + 3*z**2 + 8*z + 8. What is the remainder when i(-4) is divided by (-122)/(-4) - (-2)/(-4)?
28
Let b(r) = -11*r - 1. Let z(i) = -11*i. Let f(h) = -2*b(h) + 3*z(h). Calculate the remainder when f(-3) is divided by 19.
16
Suppose 3*l = 4*n - 175, 3*l = 5*n - 131 - 87. Suppose 0 = -3*f + 32 + 13. What is the remainder when n is divided by f?
13
Let u(h) = -h**3 - h**2 - 1. Let w(b) = 25*b**3 + 2*b**2 - 2*b + 2. Let p(s) = u(s) + w(s). Let q = -27 - -40. What is the remainder when p(1) is divided by q?
11
What is the remainder when 43 is divided by (3 + -5)/((-2)/11)?
10
Suppose 12*x - 8*x - 8 = 0. What is the remainder when x is divided by 1?
0
Suppose -3*w + a + 11 = 0, -w - 4*a = -2*a + 8. Suppose -w*m = -8 - 10. Suppose -5*q + 150 = q. Calculate the remainder when q is divided by m.
7
Let s(o) = -o**3 - 2*o**2 + o + 2. Let c = -54 + 27. Let p be (-1)/(3/c*-3). Calculate the remainder when 22 is divided by s(p).
6
Suppose -27 = -5*y - 2. What is the remainder when 7 is divided by y?
2
Suppose 0 = -r + 6 + 2. Calculate the remainder when r is divided by 3.
2
Suppose -3*j + 195 = -3*b, 3*j + b - 6*b = 201. Let q(l) = l - 2. Let i be q(12). What is the remainder when j is divided by (-4)/10 + 214/i?
20
Let c be 1/3 - 17/(-3). Let i = 15 - c. Calculate the remainder when 15 is divided by i.
6
Suppose -2*v - 14 = -2*g + 2*v, -v - 21 = -3*g. Let x be 39*(-2 + (-7)/(-3)). Let f = 6 + x. What is the remainder when f is divided by g?
5
Let x = 1 - -3. Suppose x*h + h - 90 = 0. Calculate the remainder when 71 is divided by h.
17
Let v = -21 + 38. Calculate the remainder when v is divided by 10.
7
Suppose -28 - 112 = -4*l. What is the remainder when 66 is divided by l?
31
Let w = 144 + -89. What is the remainder when w is divided by 28?
27
Suppose -48*k + 52*k - 228 = 0. Calculate the remainder when 169 is divided by k.
55
Suppose 3*r = -2*b + 12, -b + 12 = 3*r - 0*b. Suppose -r*y + 102 - 22 = 0. Calculate the remainder when y is divided by 6.
2
What is the remainder when (-11)/(132/(-136))*3 is divided by ((-6)/(-12))/((-2)/(-36))?
7
Suppose -4*s + 0*i - 3*i + 25 = 0, -5*i = 5*s - 35. Suppose -r + s*r = 4*g - 8, r - 5*g = 1. Let v = r - -30. Calculate the remainder when v is divided by 9.
8
Let w be 7/7*(0 - -2). Suppose -w*z = 2*h + 6, 3*h = 5*z + h - 13. What is the remainder when 1 is divided by z?
0
Let y = 16 - -17. Calculate the remainder when y is divided by (-2)/6 - (-37)/3.
9
Suppose 12*n - 190 = 10*n. Calculate the remainder when n is divided by 20.
15
Suppose -h + 3*h - 4 = 0. What is the remainder when ((-10)/5)/(h/(-55)) is divided by 14?
13
Let q(r) = -r**3 + 12*r**2 - r + 11. Let t be q(12). Calculate the remainder when (t - 20/(-16))*164 is divided by 14.
13
Suppose -160 = -5*n - 3*n. Calculate the remainder when 119 is divided by n.
19
Suppose 6 = -3*t + 21. Calculate the remainder when 11 is divided by t.
1
Let o = -72 - -73. Suppose 0 = -0*a - 4*a + 24. Suppose 0 = -k + 4*k - a. What is the remainder when k is divided by o?
0
Suppose 2 = -2*g, 0 = -2*m + 2*g - 5*g + 55. Let z = 4 - 0. Suppose -38 = 2*p - 4*p + z*f, -p = -4*f - m. Calculate the remainder when 16 is divided by p.
7
Suppose 2*z = -0*z + 82. Suppose -w + z = 3*w + d, 8 = 2*w - 2*d. What is the remainder when 26 is divided by w?
8
Let n = 2 + 0. Suppose 4*c + 56 = 2*y, c = -2*y - n*c + 21. Calculate the remainder when y is divided by 10.
8
Suppose 104 = 4*j - 0. Let o(d) = -d + 8. Let q be o(6). Let l = 12 + q. Calculate the remainder when j is divided by l.
12
Let d be 3/3*-1 - -4. Suppose -d*m = -8*m - 15, -m - 15 = -2*b. Calculate the remainder when 10 is divided by b.
4
Let q = 94 + -23. What is the remainder when q is divided by 20?
11
Let j = 35 + -20. Let b(x) = x**3 + 3*x**2 - 4*x + 2. Calculate the remainder when b(3) is divided by j.
14
Let t(p) = p**3 + 8*p**2 - 4*p - 12. Calculate the remainder when 3/(-2)*118/(-3) is divided by t(-8).
19
Let j(u) = -u**2 - 9*u + 1. Suppose 9*r - 713 + 218 = 0. Calculate the remainder when r is divided by j(-6).
17
Suppose -2*t + 6 = -3*v - 2, -2*t - 2*v = -8. Let z(k) = -k - 2. What is the remainder when t is divided by z(-5)?
1
Suppose -3*j + 70 + 146 = 0. Suppose -3*a + 4*b = a - j, 0 = -2*a - 2*b + 36. Let s = -23 - -57. Calculate the remainder when s is divided by a.
16
Let b = 1 + 7. Let m(g) = 11*g. Let q be ((-2)/(-7))/((-2)/(-14)). Calculate the remainder when m(q) is divided by b.
6
Let w(m) = -m**2 + 6*m + 10. Let z be w(8). Let d = z - -12. Calculate the remainder when 17 is divided by d.
5
Suppose 0 = -5*r - 25, -2*w - 39 = -3*w + 5*r. What is the