-3*z + 48 + 15 = 0. Let x = 19 - 11. Calculate the remainder when z is divided by x.
5
Let u(l) be the second derivative of l**3/2 + l**2/2 - l. Let z be 11/13 - 8/(-52). What is the remainder when 7 is divided by u(z)?
3
Let d(k) = -6*k + 8. Let o(y) = 14*y + 3. Let w be o(-5). Let u = -45 - w. What is the remainder when u is divided by d(0)?
6
Suppose 0*u = -3*u + 48. Suppose 4*c = 2*v - u, -2*c = v + v + 2. Suppose 28*b - 34*b = -30. What is the remainder when b is divided by v?
1
Suppose -4*a + 2 + 43 = d, -a - 2*d = -20. Let g(v) = v**2 + 8*v + 3. Let i be g(-3). What is the remainder when a is divided by 3/i - (-17)/4?
2
Suppose 4*i - 27 = 61. Let q(a) = -a**2 - 2*a. Let r be q(-2). Suppose r = 3*f - i - 23. Calculate the remainder when f is divided by 8.
7
Let y(v) = v**2 + 2*v + 2. Let h be y(-2). Suppose -h*a - 4 = 2*a, m = a + 9. Calculate the remainder when 23 is divided by m.
7
Suppose 3*g - 6*g = -q + 25, g = -2*q + 22. Let y be (-2)/(-4) + 18/(-4). Let l = y + q. What is the remainder when 25 is divided by l?
7
Let w(l) = 24*l**3 - l**2 + l. Calculate the remainder when 47 is divided by w(1).
23
Suppose -4 = 4*t, 3*t + 183 = 4*o - 36. What is the remainder when o is divided by 14?
12
Let q be (-20)/3 - (-2)/3. Let z(m) = -m**2 - m - 8. Let j be z(0). Let x = q - j. Calculate the remainder when x is divided by 1.
0
Let x be (-36)/(-16) + 2/(-8). Suppose -3*j - 14 = -5*b - 7, -x*b + 2 = -2*j. Calculate the remainder when 4 is divided by j.
0
Let z = -10 - -18. Let x(c) = -5*c**2 - 5*c - 2. Let s(f) = 2*f**2 + 2*f + 1. Let y(r) = -7*s(r) - 3*x(r). Calculate the remainder when z is divided by y(-3).
3
Let b(r) = -2*r - 1. Let j be b(-5). Let s = j - 7. Suppose 4*l - 6 = 3*g - 4, -4*l - 5*g = -18. What is the remainder when l is divided by s?
0
Suppose -54*q - 100 = -59*q. Calculate the remainder when q is divided by 3.
2
Let v(f) = -f**3 - 6*f**2 + 11*f - 5. What is the remainder when v(-8) is divided by 10?
5
Suppose 0 = -0*r + 4*r + 672. Let i = -115 - r. Calculate the remainder when i is divided by 14.
11
Let v(j) = j + 25. What is the remainder when v(-8) is divided by 5?
2
Suppose 4*y + 5 = -19. Let b(o) = -3 - 3*o + 2*o + 2. What is the remainder when b(y) is divided by 2?
1
Let m(f) = -f**3 - 6*f**2. Let b be m(-6). Let d be 6/(-6) - (-2 + b). Let l(r) = 29*r**3 + r**2 - r. Calculate the remainder when l(d) is divided by 15.
14
Suppose 2*r = 3*r - 130. Suppose -2*h = -4*s - 13 - 11, 4*h - 28 = 3*s. Suppose -5*j = -2*w - r, 3*w = h*w. What is the remainder when j is divided by 9?
8
Let q(r) = 3*r. What is the remainder when 11 is divided by q(2)?
5
Suppose 0 = 3*t - t + 20. Calculate the remainder when 29 is divided by (-5)/(t/(-4) - 3).
9
Let s = -53 + 94. Let l = s + -22. What is the remainder when l is divided by 10?
9
Suppose q = 2*x - 24, x = -2*q + 6*q + 19. Let r(n) = -n**3 + n**2 + n - 2. Let b be r(-2). Let w = b + x. Calculate the remainder when w is divided by 5.
4
Suppose 3*c + z + z = 26, 0 = 3*c - 2*z - 10. Suppose 0 = c*k - 2*k - 188. Let b(o) = o**3 - 7*o**2 + 7*o + 10. What is the remainder when k is divided by b(6)?
15
Suppose 2*j + 2*j - 60 = u, 76 = 4*j - 5*u. What is the remainder when j is divided by 8?
6
Suppose -43 - 85 = -8*w. Calculate the remainder when 110 is divided by w.
14
Calculate the remainder when 43/(-1)*(-7 + 6) is divided by 9.
7
Suppose 6*d = 46 + 20. What is the remainder when 52 is divided by d?
8
Let c(b) = b**3 - b**2 + 4. Let t(y) = -y**3 + 7*y**2 - 5*y - 3. Let h be t(6). What is the remainder when c(h) is divided by 6?
4
Let p = 2 - 2. Suppose s + 0*s - 4 = p. Suppose 2*b - s*z = -b + 61, 3*b - 2*z = 53. Calculate the remainder when b is divided by 6.
3
Let l(v) = v**2 - 7*v + 7. Let p be l(7). Let g be (-2)/(-4)*(p - 3). Suppose r - g*r = -6. Calculate the remainder when r is divided by 4.
2
Let g(r) = 2*r + 4. Let m be (1/2 - 1)*10. What is the remainder when (-1)/m - (-169)/5 is divided by g(4)?
10
Let u = 1 + 42. Calculate the remainder when u is divided by 5.
3
Let o(g) = g**3 - 9*g**2 - 9*g - 2. Let r be o(10). Suppose 7*m + r = 3*m. What is the remainder when 0 - ((-4 - m) + 1) is divided by 1?
0
Suppose 3*q + 3*m - 33 = 0, 5*q - 42 - 4 = 4*m. Calculate the remainder when 16 is divided by q.
6
Suppose -2*r + 7*r = 295. Suppose -3*f + 6*f = 60. What is the remainder when r is divided by f?
19
Suppose 2*q - 6*q + 2*z + 14 = 0, 3*z = -3*q - 3. Suppose 2*o + o = 9. What is the remainder when o is divided by (q + 0)*(2 + -1)?
1
Suppose -2*o + 69 = o. Let t = o - 5. Calculate the remainder when 53 is divided by t.
17
Calculate the remainder when 23 is divided by ((-9)/(-2))/(1*(-3)/(-6)).
5
Suppose -3*n - 6 = -4*n. Let q = n - 4. Suppose -2*w - q*w = -4. Calculate the remainder when 2 is divided by w.
0
Suppose 2*g = 4*y + 22, 3*y + 16 = 4*g - 3*g. Let m = 11 + y. Calculate the remainder when 17*(-3)/6*-2 is divided by m.
5
Suppose -v = c + 11, 2*v + 1 + 27 = -3*c. Let s be c/21 - 9/(-7). Let k(i) = 3*i**2 + 1. What is the remainder when 6 is divided by k(s)?
2
Calculate the remainder when 15 is divided by 6/(-10) + (-129)/(-15).
7
Suppose 0 = 4*s + 3*w + 7, -s = -5*s - 2*w - 2. Suppose 3*y - 8 + s = 0. Calculate the remainder when y is divided by 2.
0
Suppose 254 - 172 = 2*n. Calculate the remainder when n is divided by 17.
7
Let d(x) = -2*x + 3. Let p(f) = f**2 - 6*f + 7. Suppose 0 = -4*r + 2*u - 2 + 32, -3*r + 2*u + 24 = 0. Calculate the remainder when d(-5) is divided by p(r).
6
Let p(k) = -k**3 - 10*k**2 - k - 7. Let s be p(-10). Suppose o + s*o = 112. Calculate the remainder when 109 is divided by o.
25
Let k = -45 - -66. Let j = k + -12. Suppose -20 = -5*o + o. What is the remainder when j is divided by o?
4
Let c(m) = -m - 10. Calculate the remainder when 43 is divided by c(-19).
7
Let o = 17 - 5. What is the remainder when 4/2 + (-198)/(-6) is divided by o?
11
Let h = -29 + 42. Suppose -2*l - 11 = 19. Let k = -7 - l. Calculate the remainder when h is divided by k.
5
Let k(j) = j**3 + j**2 + j + 23. Suppose 12 + 3 = 3*y. Suppose 4*f = y*f - 8. Calculate the remainder when k(0) is divided by f.
7
Suppose -3*g + 47 = -j, g - 24 = 3*j - j. Calculate the remainder when 69 is divided by g.
13
Let i(x) = -2*x - 11. Let r be i(-8). Suppose c - r = 2*k - 37, -4*c + 25 = k. Calculate the remainder when 33 is divided by k.
16
Suppose -16 - 192 = -4*q. Calculate the remainder when q is divided by 27.
25
Suppose -a + 5*b + 13 = 3*b, 3*b = -4*a - 3. Let z(v) = -3*v**2 + 1. Let j be z(1). Let l = 7 + j. Calculate the remainder when l is divided by a.
2
Let h(f) = 2*f**3 - 7*f**2 + f - 3. Calculate the remainder when h(5) is divided by 26.
25
Let p = 4 - 0. Let k(w) = w + 12. Let u be k(-9). Suppose f = -4*m + 40, -u*m + 40 = m + 5*f. What is the remainder when m is divided by p?
2
Calculate the remainder when 5 is divided by 6*2/(-14)*21/(-6).
2
Suppose -o = 3*l - 30, 5*o = 2*l + o - 34. Suppose -3*r - 2*n + 3*n = -61, 4*n - 96 = -5*r. What is the remainder when r is divided by l?
9
Let t be (-7 + 7)*(-2)/4. Suppose -7*a + 3*a + 76 = t. What is the remainder when a is divided by 5?
4
Calculate the remainder when (47 - (-4)/(-2)) + 8/(-2) is divided by 6.
5
Let z(o) = -3*o - 4. Let r(d) = d - 1. Let a(q) = -4*r(q) - z(q). Let h be a(6). What is the remainder when 21 is divided by 11/(h/(1 + 1))?
10
Let a(l) = -l**3 + 3*l**2 + 3*l + 3. Let t = 5 - 3. Suppose 5*w - 18 = t*w. What is the remainder when a(-2) is divided by w?
5
Suppose k = -0 + 2, j = -5*k + 16. Let a = 3 - j. What is the remainder when -2 - -7*a/(-3) is divided by 4?
1
Let a = -81 - -110. What is the remainder when 82 is divided by a?
24
Let f be (8 + -6)*(0 - -1). Suppose f*h = -0*h + 78. Calculate the remainder when h is divided by 21.
18
Suppose 0*y = -2*y - 2. Let x(l) = -4*l**3 + l**2 - l - 1. Let u be x(y). Let v(f) = f**2 - 4*f + 3. Calculate the remainder when 22 is divided by v(u).
6
Suppose 0*j + 2*j = x + 59, 3*j + 2*x - 71 = 0. What is the remainder when j is divided by 24/3 - -2*1?
7
Let k(r) = -r**3 + r**2 + 8*r - 6. Let q be k(-8). Suppose 5*o + 21 = q. What is the remainder when o is divided by 25?
22
Let p = -111 + 164. Let h = 14 - -5. Calculate the remainder when p is divided by h.
15
Suppose -b - 2*i