 = -v**3 + 7*v**2 - 5*v - 2. Calculate the remainder when k(6) is divided by 3.
1
Suppose -2*h = -2*u - 204, 392 = 5*h - 3*u - 118. Let b = h - 70. Let w = -14 + 25. Calculate the remainder when b is divided by w.
10
Calculate the remainder when (-2 - -18)*2/2 is divided by 10.
6
Suppose x - 11 = -0*x. Suppose 4*a - x = 37. Suppose -5*g - h + 173 = 0, 0 = -3*g - 5*h + 22 + 95. What is the remainder when g is divided by a?
10
Let p(d) = d**2 + d - 7. Let t(a) = a**3 - 2*a**2 - a + 6. Calculate the remainder when p(-6) is divided by t(3).
11
Let g be (40/3 + 2)*-3. Let d = -31 - g. What is the remainder when 29 is divided by d?
14
Suppose -5*b + 61 = -r, -85 = -b - 4*b - 5*r. Suppose m - 2*u - b = -u, -3*u = 9. Suppose 90 = -13*l + 18*l. What is the remainder when l is divided by m?
8
Suppose -4*u - 2*r - 3*r = -63, 3*u - 41 = -5*r. Calculate the remainder when u is divided by 12.
10
Suppose -5*m + 3*i + 1398 = 0, i + 0*i = -1. What is the remainder when m is divided by 14?
13
Let n = 7 + -5. Suppose -n*u = -u - 11. What is the remainder when 32 is divided by u?
10
Let u be (8/5)/((-2)/10). Let j = -1 + u. Let f = j + 21. What is the remainder when 22 is divided by f?
10
Suppose 2*h + h - 42 = 0. Suppose 0 = -2*b + 3*b - 16. Let p = b - 11. Calculate the remainder when h is divided by p.
4
Suppose 6*k - 60 + 6 = 0. What is the remainder when k is divided by 4?
1
Let d = -96 - -117. Calculate the remainder when 39 is divided by d.
18
Let w(h) = h**3 - 4*h**2 - 3*h - 7. What is the remainder when w(6) is divided by 24?
23
Suppose -3*j + 10 = -5. Let s = j + -3. Suppose 0 = -4*c + s*w - 16 + 74, 0 = -c - 4*w - 8. Calculate the remainder when 23 is divided by c.
11
Suppose -180 = -2*r - 60. Calculate the remainder when r is divided by 21.
18
Let f = 96 - 89. Calculate the remainder when f is divided by 5.
2
Let s(u) = -u**3 + 5*u**2 - 3*u - 3. Let p be s(5). Calculate the remainder when (-202)/p + 6/(-27) is divided by (-4)/12 - (-38)/6.
5
Let n be (-2)/6 + 50/15. Suppose n*a - a - 16 = 0. What is the remainder when a is divided by 3?
2
Suppose 4*v = 7*v + 5*w - 184, -5*v - 5*w + 290 = 0. Calculate the remainder when v is divided by 9.
8
Calculate the remainder when 54 is divided by (99/27)/((-2)/(-6)).
10
Let t be (-38)/8 - (-3)/4. What is the remainder when 44 is divided by (-1 + -14)*(3 + t)?
14
Let b = 0 + -4. Calculate the remainder when 19 is divided by (-46)/b + 2/(-4).
8
Let o be ((-9)/(-15))/(3/15). Let p be 2/o + (-111)/(-9). Let q = 23 - p. What is the remainder when 18 is divided by q?
8
Suppose 3*m - 415 = -5*x, -4*x + 442 = -2*m + 132. Suppose -3*d = d - x. Calculate the remainder when 79 is divided by d.
19
Let g = 19 - -3. Calculate the remainder when 42 is divided by g.
20
Let y(g) be the second derivative of g**4/12 - g**3/3 + g**2 - 3*g. Let s = -11 - -25. What is the remainder when y(-4) is divided by s?
12
Let j(w) = -w**3 + 32*w**2 - 61*w + 55. Calculate the remainder when 61 is divided by j(30).
11
Let p(d) = -d**3 - d**2 - 3*d - 1. Suppose -3*l = 3*u + 51, 2*u + 17 = 4*l - 17. Let s = 21 + u. Calculate the remainder when p(-2) is divided by s.
1
Suppose 5*r - 24 = -m + 6, -m = -4*r + 33. Let k(j) = j**2 + 2*j + 3. Let d be k(-4). Let b = d - r. What is the remainder when 10 is divided by b?
2
Let v(l) be the third derivative of 7*l**4/24 - 4*l**3/3 + l**2. Calculate the remainder when v(8) is divided by 25.
23
Suppose -2*m + 120 = 2*m. Let c = -18 + m. What is the remainder when 32 is divided by c?
8
Suppose -3*f = 2*a + 82, -2*f = -4*a + 3*a + 43. Calculate the remainder when (-7 - -1)/(f/448) is divided by 29.
25
Suppose -4*y + 7 = -9. Let u(t) = -t**3 + 3*t**2 + 4*t + 5. Let n = 16 - 7. What is the remainder when n is divided by u(y)?
4
Suppose -10*i = -8*i - 32. Calculate the remainder when 29 is divided by i.
13
Let f = -8 + 11. Let j(h) = h**3 - h**2 + 4*h - 1. Calculate the remainder when j(f) is divided by 8.
5
Let f(n) = -2*n + 1 + 8*n**2 + n**3 - 2 + 0*n**3. Let r = 15 - 23. Calculate the remainder when 28 is divided by f(r).
13
Let b(y) = -y**2 - 6*y + 7. Let r be b(-6). Let c = -42 - r. Calculate the remainder when 1/2 + c/(-2) is divided by 13.
12
Suppose b + 560 = 5*s, 4*b = 4*s - 157 - 291. Let c = s + -65. Calculate the remainder when c is divided by 16.
15
Let d = -9 - -14. What is the remainder when 10 is divided by d?
0
Suppose 36 + 24 = 4*u. Suppose -j - 5*j + 342 = 0. What is the remainder when j is divided by u?
12
Let c(i) be the first derivative of -i**3/3 - 7*i**2/2 + 2*i - 1. Let d be c(-7). Let v = 5 - d. What is the remainder when 5 is divided by v?
2
Suppose c + 2 = 3*m - 0*c, 3 = 3*c. Let d = m + 5. Let a(w) = w + 8. What is the remainder when d is divided by a(-6)?
0
Let k(y) = -y**3 + 9*y**2 - 2*y - 28. Calculate the remainder when k(8) is divided by 6.
2
Let d = 25 + -35. Let p = d + 21. Calculate the remainder when 19 is divided by p.
8
Let n(j) = 16*j**2 + j - 1. Calculate the remainder when 47 is divided by n(-1).
5
Suppose -h + 3*h - 26 = 0. Let t(c) = -6*c - 12. What is the remainder when t(-6) is divided by h?
11
Suppose 4*v + v = 0. Let b(p) = p + 3. Let y be b(v). Suppose -y*i = -0*i - 12. What is the remainder when 14 is divided by i?
2
Let j = -2 - 1. Calculate the remainder when (43/j*-3)/1 is divided by 15.
13
Let c be -28 + 0/(-1) + 2. Suppose 4*z + 312 = -2*z. Let t = c - z. What is the remainder when 50 is divided by t?
24
Let q = 1 + -1. Let u(y) = q*y + y - 5*y - 5. What is the remainder when u(-6) is divided by 10?
9
Suppose -5*c + 0*c = -140. Calculate the remainder when c is divided by 10.
8
Suppose -8*d = -2*d - 294. Calculate the remainder when d is divided by 13.
10
Suppose j = -4 - 6. Let s = 15 + j. What is the remainder when 9 is divided by s?
4
Calculate the remainder when 52 is divided by 16/4 + (-3)/1 + 10.
8
Suppose 4*s - 2*s = 0. Let v(p) = -1 + p**2 - 3*p + 8 + s*p. Calculate the remainder when v(5) is divided by 9.
8
Let n be 1*(10 - 3)*1. Let z = 13 - n. Suppose 4*x = 5*l - 94, -3*x = -4*l + l + 54. Calculate the remainder when l is divided by z.
4
Let i be (16/(-6))/((-2)/3). Suppose -2*x - 2*x - 4*r + 52 = 0, i*x - 53 = -5*r. What is the remainder when 21 is divided by x?
9
Let p = 13 - 3. What is the remainder when 38 is divided by p?
8
Suppose 0 = -8*c + 13*c - j - 494, 0 = 4*c - 5*j - 391. What is the remainder when c is divided by 25?
24
Suppose 69 = 7*y - 4*y + 3*s, -5*y = s - 131. Suppose 0 = 4*b - 41 - y. Calculate the remainder when 30 is divided by b.
13
Let d(i) = i**3 - 7*i**2 - 9*i + 7. Let w be d(8). Suppose -11*p + 5*p + 336 = 0. Calculate the remainder when p is divided by (w/3)/((-1)/57).
18
Let j be (-2 - -2) + 0 + -10. Let v = 23 - j. Suppose -3*f + v = -3. Calculate the remainder when 22 is divided by f.
10
Suppose 0 = -3*h + 6*h - 21. Calculate the remainder when 25 is divided by h.
4
Let x(i) = -i**3 + 8*i**2 - 6*i - 3. Let r be x(7). Suppose r*p - 44 = -4*y, -3*p + 0*p = 5*y - 57. Calculate the remainder when y is divided by 7.
5
Let o(k) = k**2 - 2*k - 14. Let u = 72 + -33. Calculate the remainder when u is divided by o(6).
9
Suppose 2*m = 3*m - 5. Suppose 164 = -3*i + m*i. What is the remainder when i is divided by 21?
19
Let j = 12 - -7. What is the remainder when 54 is divided by j?
16
Suppose -2*y = -5 - 11. Calculate the remainder when 14 is divided by y.
6
Let j(q) = q**3 - 11*q**2 + 5*q - 14. Calculate the remainder when 163 is divided by j(11).
40
Let n = 63 - 5. Let j be ((-5)/2)/((-1)/(-10)). Let y = j + 45. What is the remainder when n is divided by y?
18
Suppose -3*q = -309 + 18. Calculate the remainder when q is divided by 25.
22
Suppose 0 = 2*f + 6 - 28. What is the remainder when 110/(-32)*-6 - 3/(-8) is divided by f?
10
Let k = 110 - 69. Calculate the remainder when k is divided by 5.
1
Let m = 16 + -8. Suppose 0 = 2*k + 3*k - 20. Suppose j = k*s - 4*j - 32, 0 = s + j - m. What is the remainder when 15 is divided by s?
7
Let a(h) = -4*h**3 - h**2. Let z = -6 - -9. What is the remainder when z is divided by a(-1)?
0
Let r = 31 - 10. Let b = 9 + -1. What is the remainder when r is divided by b?
5
Suppose 2*o = 3*o - 89. Let d(k) = 6*k**2 - 2*k + 3. What is the remainder when o is divided by d(2)?
20
Let a be 1/(1 + (