8
Let r(w) = -w**3 - 6*w**2 - 6*w - 5. Let u be r(-5). Suppose -5*d = -u*d - 20. What is the remainder when 12 is divided by d?
0
Let u = -11 - -16. Suppose -44 = 5*c + 36. Let j = -2 - c. What is the remainder when j is divided by u?
4
Let m be (-11 - -10)/((-2)/(-4)). Let l(h) = -20*h. What is the remainder when l(m) is divided by 14?
12
Suppose 0 = -q - 3*q + 8. Suppose -2*s - q*s - 2*g = -94, 5*g - 1 = -s. Calculate the remainder when s is divided by 9.
8
Suppose 4*r + 5*y + 16 = 0, -r = -0*r - 5*y - 21. Suppose 4*h = -r + 21. Calculate the remainder when 18 is divided by h.
3
Let y be (-2)/8 - 92/16. What is the remainder when (-52 - -1)*4/y is divided by 12?
10
Let x(q) be the third derivative of -q**6/120 + q**5/6 - q**4/4 - 2*q**3 + 3*q**2. Calculate the remainder when 43 is divided by x(9).
13
Let u(d) = -4*d - 5. Suppose 0 = 4*g - g + 21. Calculate the remainder when u(g) is divided by 8.
7
Let m = -1 + 1. Suppose 5*n + m*n = 10. Calculate the remainder when 7 is divided by n.
1
Let u(f) = -18*f**3 + 4*f**2 + 2*f - 1. What is the remainder when 131 is divided by u(-1)?
17
Let z = 1 + -4. Let h(w) = -2*w - 2. Calculate the remainder when 10 is divided by h(z).
2
Let k = 59 + -53. Calculate the remainder when 25 is divided by k.
1
Suppose -894 = -2*k + 192. Suppose 0*w + 3*w + k = 5*o, 3*o = -5*w + 319. Suppose 8 = -5*v + o. Calculate the remainder when v is divided by 11.
9
Let b = -5 - -14. Let g = -16 + 32. What is the remainder when g is divided by b?
7
Let s = -8 + 10. Let x be (-2)/4 + 4/8. What is the remainder when s is divided by (3 + -2 - x) + 1?
0
Suppose 2*i = 5*p - 2*p + 4, -5*p = i - 15. Suppose -25 = -c - 4*k, c - 61 = p*k + 3*k. Calculate the remainder when c is divided by 21.
20
Let a = -69 - -108. Calculate the remainder when 1 + -4*a/(-6) is divided by 10.
7
Suppose -56 = -k - 21. Let x(h) = h**3 + 3*h**2 - 3*h + 3. What is the remainder when k is divided by x(-3)?
11
Let s = 36 + 84. Calculate the remainder when s is divided by 41.
38
Let x(w) = -w**3 - 2*w**2 - 3*w - 2. Let n be x(-3). Suppose -4 = 4*v - n. What is the remainder when 8 is divided by v?
2
Suppose -53 = -5*t - o, 3*t - 2*o - 18 = 19. Let c = -1 + 3. What is the remainder when t is divided by c?
1
Suppose -2*c + 5*c = 78. Calculate the remainder when c is divided by 10.
6
Let l(d) = 2*d**3 - 2*d**2 - 3*d + 2. Let z be l(2). Suppose -u - z*g - 10 = g, 3*g = -u. Suppose 2*i - 13 = u. What is the remainder when i is divided by 8?
6
Let x(y) = 2*y**2 + 3*y + 2. Let w be x(-2). Suppose -p = -8 - 9. Calculate the remainder when 0/w - (-1 - 49) is divided by p.
16
Let b(p) = p**3 + p**2 - 6*p + 12. Calculate the remainder when b(4) is divided by 14.
12
Let y = 92 + -46. Suppose -2*f - 2*h + 26 = 0, 0 = -4*f + 5*h + y + 24. What is the remainder when 29 is divided by f?
14
Let g = 2 - -5. Let k = 4 + 9. Calculate the remainder when k is divided by g.
6
Let s be (-3 + 2 - -1)/(-1). Let o = 5 + s. Suppose 0*j - o*j + 40 = 0. What is the remainder when 15 is divided by j?
7
Let n(m) = -m**3 + 5*m**2 + m + 5. Let x = 69 + -40. Calculate the remainder when x is divided by n(5).
9
Let k = 3 - 3. Suppose -2*c + k = -12. Suppose -3*o + c*o - 129 = 0. Calculate the remainder when o is divided by 11.
10
Let r(i) = 4*i**2 - 1 + 0*i**3 + 7*i - 8*i + i**3. What is the remainder when r(-4) is divided by 3?
0
Let y(j) = -7*j - 11. What is the remainder when y(-6) is divided by 17?
14
Let p(m) be the second derivative of -m**4/3 - m**3/2 - m**2/2 - 3*m. Let j be p(4). Let x = -40 - j. Calculate the remainder when x is divided by 13.
11
Let k(i) = -1 + 4*i**3 - 3*i**3 + 0 + 3*i**2 + i. Let o(v) = -v - 3. Calculate the remainder when k(-2) is divided by o(-4).
0
Let o(r) = -3*r - 4. Let c be o(-3). Let j = 81 + -58. What is the remainder when j is divided by 6 - c/((-5)/2)?
7
What is the remainder when 16 is divided by ((-45)/(-20))/(3/8)?
4
Calculate the remainder when 5 is divided by (-12)/10*5/(-2).
2
Let p(v) = -19*v**3 - v**2 + 3*v + 2. What is the remainder when 83 is divided by p(-1)?
15
Let v = 10 + 3. Let y = 40 - 15. Calculate the remainder when y is divided by v.
12
Let p = 11 - 7. Suppose 5 - 3 = n. Calculate the remainder when p is divided by n.
0
What is the remainder when 62 is divided by (14/(-3))/((-20)/90)?
20
Let n(k) = k**2 + 1. Let j be n(2). Let g = 7 - j. Calculate the remainder when 27 is divided by -1 - -2 - -3*g.
6
Suppose 2*p = 5*p + 3*y - 45, p = 4*y + 30. What is the remainder when 53 is divided by p?
17
Let k(r) = -r**2 - 6*r + 1. Let w be k(-6). Let a = 10 - w. Calculate the remainder when a is divided by 3.
0
Suppose 3*z = y - z + 3, -5*z = y + 12. Let c = 10 + y. What is the remainder when 3 is divided by c?
0
Let d = -7 + 7. Suppose d*l - m = 3*l - 20, -5*l - 2*m = -34. Suppose 3*h - 9 - l = 0. What is the remainder when h is divided by 2?
1
Suppose 0 = j - 2*o - 27, o = -j + 41 + 1. Suppose -3*g + 412 + 191 = 0. What is the remainder when j is divided by 2/(-5) + g/15?
11
Let p = -7 - -44. Calculate the remainder when p is divided by 19.
18
Let a(z) = -z**3 + 5*z**2 + 4*z + 11. Let k(s) = -s**2 - 8*s + 4. What is the remainder when a(5) is divided by k(-6)?
15
Let u(i) = -i**2 + 19*i - 24. What is the remainder when u(13) is divided by 20?
14
Suppose 89 + 256 = 5*c. Suppose c - 6 = 3*d. What is the remainder when 40 is divided by d?
19
Suppose -181 = -4*j - 0*j + 3*v, 3*v + 43 = j. Let x(q) = q**2 - 4*q + 1. Let a be x(7). Let d = a - 6. What is the remainder when j is divided by d?
14
Calculate the remainder when 4 + -2 + 36 + -1 is divided by 22.
15
What is the remainder when 31 is divided by ((-2)/(-1))/((-3)/(-12))?
7
Suppose -3*v = v - 8. Suppose 5*j = v*j + 96. Suppose y = -4*q + 33, y - j = -3*y + 4*q. What is the remainder when 37 is divided by y?
11
Suppose 5 - 43 = -2*m. Let j be 6*(7/2 + -2). Let h(u) = -u**2 + 14*u - 9. What is the remainder when h(j) is divided by m?
17
Let f = 156 + -67. What is the remainder when f is divided by 15?
14
Suppose 3*o = l - 219, 88 = -3*o - 5*l - 113. Suppose -c = -2*x - 4*c + 190, -5*c = 2*x - 182. Let g = o + x. What is the remainder when g is divided by 10?
9
Suppose 2*k - 42 = -2*z, z = -6*k + 11*k - 81. Calculate the remainder when 48 is divided by k.
14
Suppose -4 = 3*l - 19. Calculate the remainder when 7 is divided by l.
2
Suppose -11*w + 10*w + 13 = 0. Suppose -2*a = 3*a - 150. Suppose c - 10 = -n, c - 4*n + a = 3*c. Calculate the remainder when w is divided by c.
3
Let v(m) be the second derivative of m**4/12 - m**3/2 - 2*m**2 - m. What is the remainder when 17 is divided by v(5)?
5
Let p be (-4)/6 + (-22)/(-6). Suppose p*l = -17 + 95. Calculate the remainder when l is divided by (-9*8/28)/((-6)/21).
8
Let w(f) = f + 26. Calculate the remainder when w(0) is divided by (54/(-12))/(1/(-2)).
8
Suppose 4*o + 16 = c, -c = 2*c - 5*o - 27. Let g = 45 - 39. What is the remainder when g is divided by c?
2
Let j = -2 + 4. Suppose 0 = -2*m + j*n + 10, -2*m + 3*n - 1 = -11. Calculate the remainder when 13 is divided by m.
3
Suppose -x = 2*y - 23, -2*y - 4*x = 6 - 32. Let p = y + -8. Let z(k) = -k**2 - 8*k - 4. Calculate the remainder when z(-6) is divided by p.
2
Let m = 35 + -25. Suppose 0*q - 288 = -4*q. Suppose 4*f - q = -4*s, -2*s + 12 + 24 = f. What is the remainder when s is divided by m?
8
Let m(k) = -6*k + 29. Calculate the remainder when 63 is divided by m(3).
8
What is the remainder when ((-9)/4)/((-117)/3120) is divided by (0 + 2)/(-2) + 22?
18
Let t(u) = -u**3 + 9*u**2 - 16*u + 6. Let c be (-1 + 9/2)*-2. What is the remainder when t(5) is divided by (-100)/c + (-4)/14?
12
Let z = 8 - 6. Suppose -4*u = z*d - 86, 0 = d + 2*d - 15. What is the remainder when u is divided by 11?
8
Let d = -74 + 92. Calculate the remainder when 61 is divided by d.
7
Let i be (36/10)/(12/520). Suppose 5*q - 49 - i = 0. Calculate the remainder when q is divided by 14.
13
Let f(i) = 4 - i - 4 - 1 - 2*i. What is the remainder when 53 is divided by f(-5)?
11
Suppose -5 = -d + 4*k + 11, 5*d = -2*k + 14. Calculate the remainder when 11 is divided by d.
3
Suppose 0 = -4*y - 5*p + 16, -2*p - 33 = -5*y - 5*p. Calculate the remainder when 34 is divided by y.
7
Suppose 2 = -i + 20. Suppose 134 = 4*k - j, -2*j = 5*k +