 = -4*w - 1. Suppose -a = -4*i + 4*a + 16, 0 = w*a + 8. Let n = 13 + i. Calculate the remainder when 23 is divided by n.
11
Suppose 2*g + q = 4, 0 = 2*g - 3*g + 5*q + 24. Calculate the remainder when 19 is divided by g.
3
Suppose 3*v - 14 = 1, -3*o - 4*v + 140 = 0. What is the remainder when o is divided by ((-10)/(-40) - 91/(-4)) + -2?
19
Let d(o) = o - 2. Let p be d(5). Let r = p - -52. Let k = -57 + 71. What is the remainder when r is divided by k?
13
Let x be (-2)/(-8) + (-2072)/(-32). Suppose 5*o + 0*o = x. Calculate the remainder when 51 is divided by o.
12
Let u be -2 - (-3 + 3 - 3). Calculate the remainder when 10 is divided by 10*(9/(-15) + u).
2
Let q = 72 + -5. Calculate the remainder when q is divided by 23.
21
Let o(n) = -2*n - 4 - 4 + 2 + 3. Let c be o(-6). Let h = 14 - c. What is the remainder when 19 is divided by h?
4
Suppose -n = 7 - 31. Let d be 90/n + (-2)/(-8). Suppose 0 = -3*m + 10 - d. What is the remainder when 2 is divided by m?
0
Let r = -41 - -56. Suppose 4*c = 5*t - 199, 5*t - 203 = -2*c + 5*c. Calculate the remainder when t is divided by r.
13
Suppose 0 = f + 2*a + 3 - 30, -5*a = 2*f - 54. Suppose -5*q = -q + 5*d - 247, 5*q - 275 = 5*d. Let x = q - f. What is the remainder when x is divided by 16?
15
Suppose x - 4*c - 22 = 0, -c + 7 + 13 = 4*x. Suppose -4*i = -4*m + i + 46, -3*m + 2*i + 31 = 0. What is the remainder when m is divided by x?
3
Let t = -4 + 3. Let k(q) = 7*q**3 - 4*q**2 - 5. Let n(m) = -8*m**3 + 5*m**2 + 6. Let x(r) = -5*k(r) - 4*n(r). What is the remainder when 7 is divided by x(t)?
3
Let o(w) = w**2 + 8*w + 1. Let p be o(6). Suppose 0 = -4*l + p - 25. Suppose 0 = -q + l - 2. Calculate the remainder when 25 is divided by q.
12
Let v be (2*9)/2 + 0. What is the remainder when 23 is divided by (v/(-6))/(3/(-16))?
7
Suppose 8*s + s = 549. What is the remainder when s is divided by 21?
19
Let j(i) = i**3 - i + 1. What is the remainder when j(3) is divided by 10?
5
What is the remainder when 676/14 - 12/42 is divided by 10?
8
Suppose 5*n = -4*n + 63. What is the remainder when n is divided by 6?
1
Let v(y) = y**3 + 21*y**2 + 68*y + 18. Calculate the remainder when 71 is divided by v(-17).
17
Let g = -101 - -111. Calculate the remainder when 26 is divided by g.
6
Let n(m) = 9*m - 2. Calculate the remainder when n(6) is divided by 4 + 0 + 15 + -1.
16
What is the remainder when 109 is divided by 35 + 1 + 7 + -6?
35
Let s be (-2)/(-12) - (-526)/12. Let q = -30 + s. Calculate the remainder when 26 is divided by q.
12
Suppose -366 = -2*s - w - 0*w, -3*s = 3*w - 549. Let n = -123 + s. Calculate the remainder when n is divided by 21.
18
Suppose 4 = 2*a - 0*a. Let x(m) = 5*m**2 + 2*m - 2. Let w be x(a). Let z = 31 - w. What is the remainder when 17 is divided by z?
8
Suppose 3*i - 10 = 3*k - 70, 3*k = -2*i + 55. Suppose 18*o - 1 = 179. What is the remainder when k is divided by o?
9
Suppose -k = k - 152. Let j(n) be the second derivative of n**5/20 - 11*n**4/12 + 7*n**3/3 - 7*n**2 + 4*n. What is the remainder when k is divided by j(10)?
24
Let r = 111 + 64. Suppose -3*z + r = 2*z. What is the remainder when z is divided by 18?
17
Suppose 4*p + 4*m - 211 - 81 = 0, 4*p + 5*m - 291 = 0. What is the remainder when p is divided by 19?
17
Let w(f) = 16*f - 5. Calculate the remainder when w(5) is divided by 11.
9
Suppose -328 + 38 = -5*b. Calculate the remainder when 346 is divided by b.
56
What is the remainder when 117 is divided by ((-5)/3)/(2 + 114/(-54))?
12
Suppose -3 = -2*n + 27. What is the remainder when 29 is divided by n?
14
Let k = 20 - 4. Let h = k - 1. What is the remainder when h is divided by 9?
6
Calculate the remainder when 70 is divided by 2/1 - -16 - 0.
16
Suppose 3*b + 54 + 15 = 0. Suppose 5*n - 5 = -20. What is the remainder when 9 is divided by b/(-4) - n/12?
3
Let b be (-2)/(-6) + (-3)/9. Suppose -60 = -b*l - 3*l. Suppose -x = -32 - 6. Calculate the remainder when x is divided by l.
18
Suppose 5*h + 0*h = 190. Calculate the remainder when h is divided by 10.
8
Suppose 22 = -4*v + 50. Calculate the remainder when v is divided by 24/15 - 34/(-85).
1
Let y(p) = 7*p**2 - 2*p - 1. Let h = 1 - -1. What is the remainder when y(h) is divided by 8?
7
Suppose -3*x - 5*z - 8 = -5*x, -3*x + 4*z + 19 = 0. Suppose 20 = -x*t + 4*t. What is the remainder when 22 is divided by (-6)/(0 + 3 + t)?
4
Let n = 25 - 4. What is the remainder when (160/6)/(2/6) + 3 is divided by n?
20
Let n(g) = -g**3 + 6*g**2 + 10*g - 8. Let u(c) = 2*c**2 + c + 37. What is the remainder when u(0) is divided by n(7)?
11
Let v(o) = 12*o + 89. Calculate the remainder when 31 is divided by v(-6).
14
Let h = -4 + 9. Suppose h*v - 35 = 6*c - c, 0 = -3*c - 6. Suppose o = -0 + 3. What is the remainder when v is divided by o?
2
Suppose -p = -4*p + 33. Calculate the remainder when 32 is divided by p.
10
What is the remainder when 135 is divided by (-17)/(-2 + 3/2)?
33
Let u(d) be the first derivative of 0*d + 2 + 1/2*d**2. What is the remainder when 16 is divided by u(6)?
4
Suppose -3*f - 2*f = 2*g + 12, 2*g = 2*f + 2. What is the remainder when -7 + 9 + 0/f is divided by 1?
0
Let s = -6 + 10. Suppose 2 = s*a - 2. What is the remainder when 2 is divided by a?
0
Suppose 0 = -2*f - 9 + 129. Let h(n) = -n**2 - 20*n - 22. Calculate the remainder when h(-16) is divided by 1/(2*2/f).
12
Suppose -40 = -8*k + 4*k. Suppose -5*t + 5 = -4*p - k, 4*p - 3*t + 9 = 0. Suppose p*g - 22 = -2*g. Calculate the remainder when g is divided by 4.
3
Let j(f) = -4*f**2 + 9*f - 2. Let i(t) = -5*t**2 + 9*t - 2. Let s(m) = -3*i(m) + 4*j(m). What is the remainder when 61 is divided by s(6)?
13
Suppose -3*w = w + 3*o - 15, -3*o + 21 = 5*w. Calculate the remainder when 10 is divided by w.
4
Suppose 0 = 4*r - 3*r - 6. Calculate the remainder when r is divided by 2.
0
Let c = -29 - -36. What is the remainder when c is divided by 3?
1
Let n be -6*(-3)/18*2. Suppose 0 = -4*y + r - 6 - 15, 0 = -3*y - n*r - 13. Calculate the remainder when 35 is divided by y/10*(-48)/2.
11
Let s(x) = -x**2 - 4*x**2 + 7*x + x**3 - 2*x**2. Let n be s(6). Suppose -n - 5 = -o. What is the remainder when 20 is divided by o?
9
Let w(o) = 6*o - 39. What is the remainder when w(15) is divided by 19?
13
Suppose 0 = 5*b - 0*b - 145. What is the remainder when b is divided by 10?
9
Let p = 297 - 173. What is the remainder when p is divided by 32?
28
Let v be 45 + 3 + -1 + -1. Let k = v + 122. Calculate the remainder when (-6)/4*k/(-9) is divided by 10.
8
Let y = 3 - 3. Let p = 99 - 27. Suppose y = 4*s - p - 44. What is the remainder when s is divided by 10?
9
Let f(q) = 2*q**3 + 4*q**2 + 4*q - 5. Calculate the remainder when f(2) is divided by 9.
8
Let r(n) = n**3 + 16*n**2 - 17*n + 21. What is the remainder when r(-17) is divided by 6?
3
Let b(v) = v**3 - 2*v**2 + 4*v. What is the remainder when b(5) is divided by 24?
23
Let m(x) = 3*x - 8. Let j = -4 - -2. Calculate the remainder when m(9) is divided by (-72)/(-7) + j/7.
9
Let x = 5 - 2. Suppose -3*w + x*y = -5*w + 21, -2*y - 10 = 0. Let b(v) = -7*v**3 + 3*v + 2. What is the remainder when b(-2) is divided by w?
16
Suppose 0 = -9*y + 4*y + 200. Let x(z) = -z**2 + 11*z - 10. Suppose 2*p = 4*l - 34, -2*l + 0*p + 5*p + 21 = 0. What is the remainder when y is divided by x(l)?
12
Suppose 2*d = -0*d + 38. Let u = 72 - 16. What is the remainder when u is divided by d?
18
Let x(o) = 6*o - 4. Let h(y) = -y**3 + 5*y**2 - y - 2. Calculate the remainder when x(7) is divided by h(3).
12
Calculate the remainder when (2/((-6)/87))/(-1) is divided by 9.
2
Let v(q) = 26*q**2 + 3*q - 9. What is the remainder when v(2) is divided by 21?
17
Let k = -19 - -24. Suppose r - 7 = -5*y + 4*y, 0 = -3*y - k*r + 13. What is the remainder when 43 is divided by y?
10
Suppose 2*l + 2*l - 388 = 2*a, 5*l - a - 491 = 0. What is the remainder when l is divided by 20?
19
Suppose -34 = -4*v + 2*k, 1 = v - 5*k - 21. Suppose -y - 1 = 1, -y + 313 = -5*u. Let l = -44 - u. Calculate the remainder when l is divided by v.
5
Suppose -4 = -0*b + 2*b. Let d(x) = x**3 + 4*x**2 + 3*x. Suppose f = 4*w - 10 - 5, -5*w + 50 = 5*f. What is the remainder when f is divided by d(b)?
1
Let s be (-12 - -3)*(-2)/6. Suppose -36 = -s*r - r. What is the remainder when 2 + r*2*2 is divided by 10?
8
Suppose -k + 115 = 