Suppose 6*j - 37 = -1. Calculate the remainder when c(8) is divided by j.
5
Let m(o) be the first derivative of 2*o**3/3 + o**2 - 5*o - 1. What is the remainder when m(-5) is divided by 18?
17
Suppose -8 = -4*v - 0. Suppose 5*g = y + 35 + 2, -5*y + 31 = v*g. Let w(t) = t + 5. What is the remainder when 38 is divided by w(g)?
12
Let j(q) = -q**3 + 7*q**2 + 8. Let h be j(7). Suppose 5 = 3*i + n, 5*i + 2 + h = 2*n. Let u = 13 + i. What is the remainder when 38 is divided by u?
12
Let o(y) = 2*y - 9. Let r(v) = v**3 + 5*v**2 + 5. Calculate the remainder when o(11) is divided by r(-5).
3
Suppose 3*o - 89 = 5*p, -4*p = 4*o - 5*p - 113. Let u = 4 + o. Calculate the remainder when u is divided by 17.
15
Let w = 4 - 1. Suppose 0 = 5*t - v - w - 7, -5*t = v - 10. Suppose 3*n - 30 = -t*n. What is the remainder when 11 is divided by n?
5
Let s(w) be the third derivative of -11*w**4/12 + 2*w**3/3 + 2*w**2. Let p be s(-3). Suppose -t - p = -6*t. Calculate the remainder when t is divided by 8.
6
Suppose -6*l = 2*l - 248. What is the remainder when l is divided by 3?
1
Suppose -3*d - 140 = -5*i, -2*i - 3*d = 2*d - 25. What is the remainder when 48 is divided by i?
23
Let r be -3*(-1)/2*2. Let x be 3 - (-1)/(r/114). Suppose -4*w = 5*i - 90, w = -3*i + x + 20. What is the remainder when i is divided by 8?
6
Calculate the remainder when 0 + -1 + -1 - -37 is divided by 18/(0/(-1) + 2).
8
Let p(n) = n + 1 - 1. Let l be p(-3). Let o = l - -5. What is the remainder when 5 is divided by o?
1
What is the remainder when 167 is divided by (-1)/1 + 150/(-2 + 8)?
23
Let g = 205 + -129. Suppose -3*p = -7*p + g. Calculate the remainder when p is divided by (-51)/(-7) - (-2)/(-7).
5
Let b = 1 + 0. Suppose 4 = -z + j, -b - 7 = z - 2*j. Suppose 8 = -2*f - 4*r, z = -4*f - 4*r + 2 + 2. Calculate the remainder when 16 is divided by f.
4
Let q(x) = 2*x**2 + 0 - 2 - 2 + 3*x. Let u be q(-3). Suppose -2*z - 3*y = 2*y + 15, -y = 2*z - u. What is the remainder when 9 is divided by z?
4
Let k(p) = p**2 + p - 13. What is the remainder when 48 is divided by k(-5)?
6
Let z(j) = -j**2 + 14*j - 18. Calculate the remainder when 15 is divided by z(12).
3
Suppose 3*q - 83 = -2*k, 2*k + 128 = 5*k + q. What is the remainder when k is divided by 23?
20
What is the remainder when ((-1)/2*-2)/1 + 81 is divided by 21?
19
Let f = -40 + 67. Suppose 0 = 3*y + 9 - 45. Calculate the remainder when f is divided by (y + -5)*(-2)/(-2).
6
Let r = 52 - 33. Calculate the remainder when 151 is divided by r.
18
Suppose 8*m - 4*m - 120 = 0. Calculate the remainder when m is divided by 8.
6
Suppose 3*x + 2*k = 104, -5*x + 168 = k + k. Calculate the remainder when (-2)/11 - (-11)/((-726)/(-8262)) is divided by x.
29
Let p be 83*(-2)/2*-1. Suppose -p = -3*x - 17. Calculate the remainder when x is divided by 6.
4
Suppose 36 = 5*b + 2*d, -2*b - d - 15 = -5*b. Calculate the remainder when b is divided by (-4)/(-2) - (-8)/4.
2
Suppose 120 = 3*a - 2*a. Calculate the remainder when a is divided by 61.
59
Suppose 0 = -2*l + 7*l - 175. Suppose -36 = -5*u + u. What is the remainder when (0 + (-2 - -3))*l is divided by u?
8
Calculate the remainder when 6/(-2) - (-23 - -1) is divided by 5.
4
Suppose 2*k - 3*f - 166 = 0, -4*k + 3*k = -2*f - 85. Calculate the remainder when k is divided by (-158)/(-8) - 1/(-4).
17
Suppose -f + 39 = 2*f. Calculate the remainder when 37 is divided by f.
11
Let h = 47 - -6. What is the remainder when h is divided by 14?
11
Let q = 25 - 10. What is the remainder when 74 is divided by q?
14
Let g(l) = 2*l**3 + 25*l**2 + 11*l + 8. Calculate the remainder when g(-12) is divided by 13.
7
Suppose -3*u + 55 = -2*m, -5*m + 14 = 4*u - 44. Calculate the remainder when 32 is divided by u.
15
Let t(d) = -d**3 + 8*d**2 - 2*d + 9. Calculate the remainder when t(6) is divided by 18.
15
Suppose -2*y - t + 4 = 0, t + 3*t = 0. Let j(k) = -3 + 0*k**3 - 4*k**2 + k**3 + 3*k**y. What is the remainder when 43 is divided by j(3)?
13
Let m = -4 - -10. Let z be (10/m - 3)*-3. Suppose y - 70 = -z*y. What is the remainder when 27 is divided by y?
13
Let c = 97 + -67. What is the remainder when 117 is divided by c?
27
Suppose 2*c + 4 = 2, -3*f = 3*c. Suppose -2*n + w + 21 = 0, -3 = 2*n + 4*w + 1. What is the remainder when -5*(-3 - (f + -1)) is divided by n?
7
Let l(w) = -2 + w**2 + 0 - 2 - 3*w. Let x be l(-4). What is the remainder when (-2 + 20/6)*x is divided by 11?
10
Let r(m) be the first derivative of 5*m**2 - m + 3. Suppose -b = 2*b - 30. Calculate the remainder when r(2) is divided by b.
9
Suppose -4*k + 293 = 4*p - p, -5*p = 2*k - 479. Calculate the remainder when p is divided by 14.
11
Let u(d) = -3*d**3 + d**2 - 5*d - 5. Calculate the remainder when u(-2) is divided by 10.
3
Calculate the remainder when 69 is divided by (-70)/(-3) - (-4)/6.
21
Let b = 15 + -6. Suppose 3*y = 2*y - 3*u - 59, 0 = 5*y - 2*u + 278. Let h = y - -81. What is the remainder when h is divided by b?
7
Suppose 2*q = -3*t - 4, -4*q = -0*t - 2*t + 24. What is the remainder when 3 - ((3 - 13) + -2) is divided by t/8 + (-31)/(-4)?
7
Suppose 0 = -6*f + 416 + 142. What is the remainder when f is divided by 32?
29
Let k(h) = 33*h**3 + 2*h - 2. Calculate the remainder when 94 is divided by k(1).
28
Calculate the remainder when 75 is divided by -57*3/(-9) - 0.
18
Suppose 6 = -0*u - 3*u. Let f be (u/(-3))/((-6)/(-27)). Suppose f*t + i = 125 - 37, 4*t - 2*i = 124. Calculate the remainder when t is divided by 16.
14
Let i = 47 + -28. Calculate the remainder when i is divided by (-4)/(-10) - (-96)/10.
9
Let c = -7 + 11. Suppose 0 = -2*f + l + 3*l + 8, 3*l + 28 = -c*f. What is the remainder when ((-29)/f)/(3/12) is divided by 15?
14
Let p(w) = 9*w**2 + w - 13. Let j(h) = 4*h**2 - 6. Let v(o) = 5*j(o) - 2*p(o). What is the remainder when 27 is divided by v(-2)?
3
Let c = 0 - -2. Suppose -c*p = -p. Suppose 3*s + 6 = -d + 4*d, p = d - 4*s + 10. Calculate the remainder when 17 is divided by d.
5
Let c be 81/4 - 5/20. Let f = c - -15. What is the remainder when f is divided by 18?
17
Let h be 2/(-7) - 4/(-14). Let z be -15*(-2 + 3 + h). What is the remainder when 10 is divided by ((-6)/(-5))/((-3)/z)?
4
Let f = -15 + 30. Calculate the remainder when (-120)/55 + 2 - 321/(-11) is divided by f.
14
Suppose -3 = -3*k, -t - 26 = -5*k - 9. Let v(f) = -3*f**3 - f**2 - f - 4. Calculate the remainder when v(-2) is divided by (40/t)/((-1)/3).
8
Suppose -6 = -9*l + 7*l. What is the remainder when l is divided by (2/(-4))/(2/(-12))?
0
Let z = 95 + -47. Suppose -z = -2*r - 0*r + l, r + l - 27 = 0. Let x = 40 - r. Calculate the remainder when x is divided by 4.
3
Suppose 2*w = w. Suppose w = 5*l - 3*l - 5*b + 23, 22 = 2*l + 4*b. Calculate the remainder when 2 is divided by l.
0
Let g(v) be the third derivative of 3*v**2 + 3/2*v**3 + 0 + 0*v + 1/12*v**4. What is the remainder when g(8) is divided by 9?
7
Let p = 59 - 34. Calculate the remainder when p is divided by (-16)/4 - 13/(-1).
7
Let w = 38 - 15. What is the remainder when 68 is divided by w?
22
Let a(i) = 6*i**2 - i. Calculate the remainder when 7 is divided by a(1).
2
Suppose 4*a = -10 - 22. Let z = a - -13. Calculate the remainder when (-4)/6 + 88/6 is divided by z.
4
Let c be (3 - -3) + -2 - 2. Suppose c*v = -v + 15. Calculate the remainder when v is divided by 0 - (2/1 - 4).
1
Let y be 2/(-6) + 10/3. Calculate the remainder when (5/y)/(7/147) is divided by 12.
11
Let m(z) = z**3 - 6*z**2 + 6*z + 7. Let x(k) = k**2 + 6*k + 8. Calculate the remainder when x(-9) is divided by m(5).
11
Let x be (1 + 164/(-12))*-3. Suppose -3*f + 2*g + 1 = -21, 4*g = -2*f - 12. Suppose f*n - x = 3*n. Calculate the remainder when n is divided by 20.
18
What is the remainder when (-19 + -14)/((-6)/4) is divided by 12?
10
Let m(p) = -10*p - 49. What is the remainder when m(-12) is divided by 37?
34
Calculate the remainder when -1*2/1 + 19 is divided by (-3 + 2)*9/(-1).
8
Let t(u) = 3*u**2 - u - 6. What is the remainder when t(4) is divided by 11?
5
Let q(k) = k + 8. What is the remainder when 29 is divided by q(7)?
14
Suppose 0 = -c - 4, -242 = 4*g - c - 634. Calculate the remainder when g is divided by 14.
13
Suppose -26 = -2*p - 0. What is the remainder when (-1 + -1)*(-25 - 0) is divided by p?
11
Let p = -8 + 33. Let l be 4/(8/(-60)*3)