. Let k be 2/5 - 63/(-5). Suppose 5*y - 2*t - k = -1, 5*y - 7 = -3*t. Calculate the remainder when g(y) is divided by 8.
6
Calculate the remainder when ((-12)/(-10))/((-3)/(-10)) is divided by 5/((-30)/24) - -7.
1
Let y(f) = f**3 - 6*f**2 + f - 19. What is the remainder when y(8) is divided by 24?
21
Let a(n) be the second derivative of -n**5/20 + 3*n**4/4 - n**3/3 + 15*n**2/2 - 2*n. Let g be a(10). Calculate the remainder when 20 is divided by g/(-9) - 6/9.
9
Let l = -53 - -27. Let m = -12 - l. What is the remainder when m is divided by 6?
2
Calculate the remainder when ((-104)/12)/(6/(-9)) is divided by 8.
5
Let k = -14 + 24. Suppose 2 = -x - 0*x + z, 3*x = -4*z + 8. Suppose 4*r = -4*s + 5*r + 151, 5*s - r - 189 = x. Calculate the remainder when s is divided by k.
8
Suppose 0 = -4*x - 18 + 70. Calculate the remainder when 29 is divided by x + (4/2 - -1).
13
Suppose -4*i = -5*y + 625, -5*y + 453 = 2*i - 202. Let c(u) = 4*u - 25. Let a be c(16). Suppose -y = -5*v - a. Calculate the remainder when v is divided by 5.
3
Suppose 0 = 5*y + h - 479, 2*y + 2*y + 4*h = 396. What is the remainder when y is divided by 25?
20
Let t be 4 + 3*1/3. Suppose -23 = -4*g - 0*g + k, -t*k + 4 = -3*g. Let z(w) = -w**3 - 7*w**2 - 7*w + 6. Calculate the remainder when z(-6) is divided by g.
5
Let n = 38 + -31. What is the remainder when 13 + ((-6)/(-3) - 4) is divided by n?
4
Let x(h) = -7*h + 4. Suppose -4*t = t + 30. Suppose 3*j - 8*j = -80. What is the remainder when x(t) is divided by j?
14
Let h = 49 + -91. Let j = h - -77. What is the remainder when j is divided by (-70)/(-6) + 1/3?
11
What is the remainder when 59 + 22 - (0 + 1) is divided by 12?
8
Suppose 5*t = 3*r - 104, -212 = -5*r + 5*t - 52. Suppose 3*g + 4*m - r = 0, -4*g - m = -57 + 11. What is the remainder when g is divided by 7?
5
Let j(b) = -5*b - 5. Let y be (12/(-3) - -3) + 3. Suppose -20 = 3*d + y*d. Calculate the remainder when 29 is divided by j(d).
14
Let z(p) = 53*p**2 + 4*p + 3. Calculate the remainder when z(-1) is divided by 9.
7
Suppose 2*s = -m - 9 + 31, 38 = 4*s + 5*m. Calculate the remainder when ((-3)/2)/(s/(-320)) is divided by 21.
19
Let q(u) = -2*u + 24. Calculate the remainder when 22 is divided by q(6).
10
Let d = -68 - -97. Calculate the remainder when d is divided by 17.
12
Let x = -8 - -5. Let q = x + 10. Calculate the remainder when 13 is divided by q.
6
Let q(f) = f**2 + 5*f + 3. Let w = 18 - 10. What is the remainder when w is divided by q(-5)?
2
Suppose -6*z + 20 = -z. Suppose 2*q + 2 = z*q. Calculate the remainder when q is divided by 1.
0
Let y = 45 - -6. What is the remainder when y is divided by 13?
12
Let p(q) = -3*q + 70. Calculate the remainder when 20 is divided by p(20).
0
Suppose j + 9 + 0 = 2*k, -16 = -j - 3*k. Let p = -3 + j. What is the remainder when p/(-8) + 270/8 is divided by 12?
10
Let i be (-1 + 25)*(-6)/(-12). Let g = i + -2. Let k(l) = l**2 - 3*l. What is the remainder when g is divided by k(4)?
2
Suppose -17*h = -16*h - 24. What is the remainder when 119 is divided by h?
23
Suppose -j = -0*j - 78. Calculate the remainder when j is divided by 20.
18
Suppose -3*h - 2*h = -75. Let y = h - 11. Calculate the remainder when 5 is divided by y.
1
Let s = -425 + 609. Suppose 0 = -6*t - 22 + s. What is the remainder when t is divided by 15?
12
Let j(m) = -39*m + 2. What is the remainder when j(-3) is divided by 20?
19
Let p(m) = 11*m + 1. Let o(k) = 6*k - 2. Calculate the remainder when o(8) is divided by p(1).
10
Suppose 69 - 12 = 3*v. What is the remainder when 71 is divided by v?
14
Calculate the remainder when ((-7)/4 + 0)*-56 is divided by 34.
30
Let r(z) = -z**3 + 14*z**2 + 2*z - 19. Calculate the remainder when 41 is divided by r(14).
5
Suppose -f = -2*t + 13, 2*f + f + 48 = 3*t. Let n = 34 + f. Calculate the remainder when 27 is divided by n.
12
Let m = -2 + 2. Suppose c = -m + 2. Calculate the remainder when 6 is divided by c.
0
Let y(v) = -4*v + 1. Let m be y(-1). Suppose m*u = i - 13, -5*i - 2*u = -3*u - 17. What is the remainder when 10 is divided by (2 + 3)*i/5?
1
Let g = 2 - 2. What is the remainder when (g - 0 - 22)*-1 is divided by 6?
4
Let s = -10 - -15. Suppose 0 = -5*k - 3*h + 74, -68 = -s*k - 0*h - h. Calculate the remainder when (-264)/(-7) + (-2)/(-7) is divided by k.
12
Suppose 0 = b - 30 - 24. Calculate the remainder when b is divided by 11.
10
Let r(f) = f. Let p(g) = 10*g. Let k(o) = p(o) + 3*r(o). What is the remainder when k(4) is divided by 0 + 2 + (-16)/(-1)?
16
Suppose -u - 4 = 2. What is the remainder when (-7)/21 + (-152)/u is divided by 7?
4
Let m(n) = 8*n**2 - 2*n + 2. Suppose 11*u = 16*u - 80. Calculate the remainder when m(2) is divided by u.
14
Let q(w) = w**2 - 2*w + 3. What is the remainder when q(-6) is divided by ((-52)/(-6))/(6/9)?
12
Let s = 1 + -3. Suppose 5*l - 4 - 46 = 0. What is the remainder when (s - -5)/(-3) + 30 is divided by l?
9
Let u = -15 + 114. Calculate the remainder when u is divided by 35.
29
Let h be (-2)/(-1) + (-3)/(-3). Suppose -30 = -3*r - h. What is the remainder when 16 + 0 + 1 + 0 is divided by r?
8
Suppose m = -s - 0*s + 5, 3*s = -2*m + 14. Suppose 3*w + 2*w = 3*q + 52, -3*w + 37 = s*q. What is the remainder when w is divided by 8?
3
Let t(m) = -4*m - 7. What is the remainder when (68/10)/(2/10) is divided by t(-4)?
7
Let o(f) = -5*f - 1. Let h(r) = -4*r. Let x(j) = -6*h(j) + 5*o(j). Let s(l) = -2*l + 6. Let u be s(6). What is the remainder when 2 is divided by x(u)?
0
Let g = -28 - -34. Calculate the remainder when 32 is divided by g.
2
Suppose -6*r + 12 = -3*r. What is the remainder when r is divided by 2?
0
Let l = 18 - 5. What is the remainder when 37 is divided by l?
11
Suppose 5*h + 35 = 5*p, 6*h + 27 = 5*p + 3*h. Suppose p*w = w + 122. Let f(s) = -6*s + 3. Calculate the remainder when w is divided by f(-3).
19
Let b(h) = -h**2 - 11*h + 16. Let c be b(-12). Suppose -n + 3*v + 20 = -v, -c*v = -3*n + 44. What is the remainder when 33 is divided by n?
9
Suppose -5*l - 8 = -3. Let u(g) = g**2 - 1. Let o be u(l). Suppose -2*w = -6 - o. What is the remainder when w is divided by 2?
1
Suppose 3*x + 2*x - 5*n + 75 = 0, -n - 3 = 0. Let w = x + 45. Suppose -w = -5*a + 48. Calculate the remainder when 44 is divided by a.
14
Let h(t) = 44*t**2 - 1. Calculate the remainder when h(-1) is divided by 12.
7
Let l(t) be the first derivative of -t**2/2 + 7*t + 1. What is the remainder when l(0) is divided by 3?
1
Suppose 29 = t - 2*a - 0*a, 3*t - 47 = -2*a. What is the remainder when 75 is divided by t?
18
Let q = -5 - -20. Calculate the remainder when q is divided by (-6)/(6*1/(-8)).
7
Let s = 7 - 5. Suppose 3*u - 13 = s. What is the remainder when u is divided by 4?
1
Let b(d) be the third derivative of -d**6/120 + d**5/60 + d**4/24 + 2*d**3/3 - 2*d**2. What is the remainder when b(0) is divided by 14/6 + (-4)/(-6)?
1
Suppose -q + 4 = -3*q. What is the remainder when 19 is divided by 1*-5*(q - 0)?
9
Let u(s) = 5*s + 1. Let a be u(-2). Calculate the remainder when -1*3/(a/15) is divided by 2.
1
Suppose -4*u + 0*u = 0. Let o be (2 - -1) + u/(-5). Suppose 89 = o*c + 2. Calculate the remainder when c is divided by 15.
14
Let r be (0 - -2)/(3 - 1). Suppose 5*a - 84 - r = 0. Calculate the remainder when a is divided by 5.
2
Suppose 0*h + 2*h - 56 = 0. What is the remainder when h is divided by 16?
12
Suppose k + v = -k + 7, -5*k + 4*v = -50. Let x = 5 - k. Calculate the remainder when 2*(20 + x)*1 is divided by 13.
12
Suppose 4*z - 39 - 37 = 0. Calculate the remainder when z is divided by (-3)/(-12) + 1/(20/215).
8
Let x = 3 + -3. Suppose x = -j + 4*j - 114. Calculate the remainder when j is divided by 13.
12
Let c(n) = n**2 - 11*n + 11. Let t(p) = 2*p - 1. Let i be t(2). Suppose 20 = -w + 5*w, i*w = 5*v - 190. Calculate the remainder when v is divided by c(11).
8
Suppose w - 3 = 0, -w + 18 = 2*i - i. What is the remainder when 40 is divided by i?
10
Suppose 0 = -2*d + 3*x + 51, -2*d + 2*x + 100 = 3*d. Let g = d - -21. Calculate the remainder when g is divided by 14.
11
Let v(n) be the first derivative of -n**4/2 + n**3/3 - 5*n**2/2 - 7*n - 9. What is the remainder when v(-3) is divided by 18?
17
What is the remainder when 15 is divided by -3 - (16/16)/(1/(-13))?
5
Let k(y) = y**3 - 8*y**2 - 9*y + 4. Sup