**2 + 5*f - 6*f - 5*f**2. Let n be b(0). Calculate the remainder when n/(-2)*10/5 is divided by 3.
1
Let y(n) = -n**3 - 20*n**2 + 34. Calculate the remainder when y(-20) is divided by 18.
16
Let v = -83 + 93. Let k(i) = 2*i - 6. Calculate the remainder when v is divided by k(5).
2
Let w(h) = -h - 5. Let u be w(-8). Suppose 0*s + 8 = u*g - 4*s, s + 2 = -g. Suppose g = i - 5. What is the remainder when 9 is divided by i?
4
Let g = -10 + 25. Suppose f - 3*f - 5*c = -51, 4 = -4*c. Calculate the remainder when f is divided by g.
13
Suppose -2*m - 23 = -6*m - 3*o, -2*o + 10 = 0. Let s = m - -11. What is the remainder when 24 is divided by s?
11
Calculate the remainder when (-115)/25 - -5 - 478/(-5) is divided by 50.
46
What is the remainder when 446/8 + 3/(-4) is divided by 14?
13
Let i = 45 - 32. What is the remainder when i is divided by 3?
1
Suppose -5*a + a = -3*i + 18, -4*i + 2 = 2*a. Suppose 0 = q + 5*h + i - 0, q - 2*h - 12 = 0. Suppose 19 = r + 4. What is the remainder when r is divided by q?
7
Suppose -5*m + 6 = 4*d, 0*d = -4*m - d - 4. Let n(u) = u**2 - 3*u - 2. What is the remainder when 21 is divided by n(m)?
5
Let r be 4/(-14) + (-37)/(-7). Suppose -5*p = -2*y - 166, -2*p + p + r*y = -47. Let b = -6 + 17. What is the remainder when p is divided by b?
10
Let q = -42 + 64. What is the remainder when 41 is divided by q?
19
Let m = 53 + -31. Calculate the remainder when 153 is divided by m.
21
Let r = -30 - 35. Let o = 8 - r. What is the remainder when o is divided by 19?
16
Let q(z) = z**3 + 4*z**2 + z - 2. Calculate the remainder when q(-3) is divided by 3.
1
Suppose 0 = -41*o + 479 - 192. Let m(d) = -d - 1. Let b be m(-3). Let a = 6 - b. Calculate the remainder when o is divided by a.
3
Let f(u) = u**2 - 2. Let i be 2/(-7) + (-12)/7. Let n be f(i). Suppose -41 = -3*p + n*a, 0 = 2*a - 4. Calculate the remainder when p is divided by 8.
7
Suppose 20 = -3*a + 5*a + 5*k, k - 73 = -5*a. What is the remainder when 73 is divided by a?
13
Suppose -8*j + 80 = -3*j. Suppose 5*z + 0*z - 225 = 0. Calculate the remainder when z is divided by j.
13
Suppose n = -n + 78. Let d(f) = f**3 + 8*f**2 + 2. Let c be d(-8). Suppose 12 = 2*i - c*j - 30, -3*i + 59 = j. What is the remainder when n is divided by i?
19
Let h(g) be the third derivative of g**6/120 - g**5/12 - g**4/12 - 4*g**3/3 - g**2. What is the remainder when 62 is divided by h(6)?
14
Suppose 4*c = -3*s + 13, 2*s + 5*c + 3 - 14 = 0. What is the remainder when -5 + (6 - 3) - (-1 - 8) is divided by s?
1
Let p(s) = 3*s + 1. Let w = 109 + -1. Let l = w - 77. What is the remainder when l is divided by p(5)?
15
Let a = 5 - 20. Let o = -4 - a. Calculate the remainder when o is divided by 4.
3
Let c(b) be the second derivative of 0 + b**2 + 1/6*b**3 - 4*b. Calculate the remainder when 34 is divided by c(7).
7
Suppose 3*y - 171 = 3*p, -y - p + 33 = -26. What is the remainder when y is divided by 20?
18
Let x(i) be the third derivative of -i**6/120 - i**4/12 - 3*i**2. What is the remainder when 21 is divided by x(-2)?
9
Suppose -f + 97 = 4*f - 3*s, -5*f - 5*s = -105. Calculate the remainder when f is divided by 11.
9
Suppose -23*c - 150 = -28*c. Calculate the remainder when 59 is divided by c.
29
Suppose 0 = 2*p - z - 31, 2*z - z = -1. What is the remainder when 57 is divided by p?
12
Suppose v - 2*v + 150 = 0. Calculate the remainder when v is divided by 51.
48
Let f be (4 - -1) + 2 + 3. Suppose 15 = v - 2*x - f, 0 = 2*x + 10. What is the remainder when v is divided by 6?
3
Suppose -4*a + 10 = 2*l, 3*l + 7 = -0*l + 5*a. Let t(n) = 1 - 7*n - 5 - l. What is the remainder when t(-5) is divided by 16?
14
What is the remainder when 2/(-6) + 720/54 is divided by 2?
1
Suppose -139 - 25 = -5*l + 4*x, -155 = -5*l - 5*x. What is the remainder when 92 is divided by l?
28
Let a(z) = 15*z + 1. Let t = -16 - -24. What is the remainder when a(2) is divided by t?
7
Let n = 25 + -13. What is the remainder when 81 is divided by n?
9
Let l = -10 - -29. Suppose -5*z + 135 = -45. What is the remainder when z is divided by l?
17
Let n(t) = -t**2 + 5*t. Let u be n(5). Suppose u = 2*z + 3*z - 55. Suppose 106 + 54 = 5*d. What is the remainder when d is divided by z?
10
Let r(n) = n**3 + 20*n**2 + 19*n + 17. Calculate the remainder when 49 is divided by r(-19).
15
Let l(h) = 45*h**3 - 2*h**2 + 1. Let j be 1/(-1) + 2 - 2. Let a = 0 - j. Calculate the remainder when l(a) is divided by 15.
14
Suppose -5*g + 0*g + 13 = -3*a, -3*g + 4*a - 1 = 0. Suppose 0 = q + 9*t - 4*t - 8, 0 = -2*q + g*t + 76. Calculate the remainder when q is divided by 10.
8
Suppose 0 = 3*o + c - 137, -3*o - 4*c - 6 + 158 = 0. What is the remainder when o is divided by 15?
14
Let m be (3 + 3)/(2 - 0). Suppose 3*h = 6 + 6. Suppose h*u - 5 - 9 = -2*t, 2*t - 12 = -m*u. Calculate the remainder when 5 is divided by t.
2
Let n(f) = 29*f - 3. Let k be n(2). Suppose -4*m - 79 = 5*j, 5*m = 4*j - 0*j + k. Let v = -5 - j. Calculate the remainder when 39 is divided by v.
9
Let d(q) = -2*q**3 + 4*q**2 + 3*q - 5. Let l(p) = -p**3 + p. Let i(k) = d(k) - l(k). Let x = 3 + 1. Calculate the remainder when i(x) is divided by 2.
1
Let u = 134 - 125. What is the remainder when 35 is divided by u?
8
Suppose -3*k - 11 = -2, -4*k = -5*j + 257. Suppose -10 - 24 = -2*d + 4*c, -5*d + j = -c. What is the remainder when 42 is divided by d?
6
Suppose 5*q + 8*m - 3*m - 5 = 0, 1 = q - 2*m. Suppose -q = -g - 3. What is the remainder when 1 is divided by g/(-4)*(-6)/(-3)?
0
Suppose 1338 = 18*k + 96. Calculate the remainder when k is divided by 19.
12
Let o = 109 - 49. Suppose 36 = 7*d - 6*d. Let p = o - d. What is the remainder when 70 is divided by p?
22
Suppose 10*z - 40 = 6*z. Let f be 4/(-6)*(-30)/4. Suppose 0 = f*a - 58 - 37. What is the remainder when a is divided by z?
9
Let n(h) = -h**3 + 3*h**2 + 5*h + 1. Let v = -43 + 61. What is the remainder when v is divided by n(4)?
3
Let t = 153 - 25. Calculate the remainder when 3/(-2)*t/(-12) is divided by 9.
7
Let v = 20 - -2. Let y = v - 15. What is the remainder when 19 is divided by y?
5
Let o(f) = f**3 + 12*f**2 - 15*f + 5. What is the remainder when o(-13) is divided by 8?
7
Suppose -30 = -9*w + 168. Let k = 5 + 7. Calculate the remainder when w is divided by k.
10
Suppose -2*p - 27 = -5*s - 10, -5*s - 4*p + 41 = 0. Suppose 2*j + s = 5*w, 0 = 2*w + 3*j + j - 26. Calculate the remainder when w is divided by 2.
1
Let k = 19 + -7. Suppose 0*o + 2 = 2*o. Calculate the remainder when o/(-3) + 212/6 is divided by k.
11
Let p(k) = -2*k**2 - k - 1. Let w be p(-3). Let h be (16/(-6))/(2/(-3)). Let q = h - w. Calculate the remainder when q is divided by 11.
9
Let r(t) = -t**3 - 5*t**2 - 3*t + 9. What is the remainder when 32 is divided by r(-4)?
2
Suppose -126 - 54 = -10*z. Calculate the remainder when z is divided by 3.
0
Calculate the remainder when 4/(4/(-2))*118/(-4) is divided by 20.
19
Let d(h) = -h**3 + 7*h**2 + 4*h + 7. Suppose 12 = 2*a - 6. Calculate the remainder when d(7) is divided by a.
8
Let u(b) = 21*b**2 - 2*b - 2. Calculate the remainder when 82 is divided by u(-1).
19
What is the remainder when 0 + 31 + 10/(-10) is divided by 17?
13
Let n = 3 + -1. Let u be -2*1 + (-6)/(-2). Let p = u + 0. What is the remainder when n is divided by p?
0
Suppose 15 = 5*v + 3*f, 2*v + 5*f + 4 = 10. Suppose -2*b - 1 = -v. Calculate the remainder when 2 is divided by b.
0
Suppose 0 = 2*d - 75 - 15. Suppose -2*i = -5*n - 23, 2 - 70 = -2*i - 4*n. Calculate the remainder when d is divided by i.
21
Suppose 2*m - 3*n = -0*n - 46, -3*n - 23 = m. Let r = -9 - m. Suppose 0 = -5*p + 79 + 46. What is the remainder when p is divided by r?
11
What is the remainder when -4*(3 - (-73)/(-4)) is divided by 21?
19
Suppose 0 = 5*r + 4*n - 2*n - 56, 23 = 2*r + n. Let c = 306 - 210. Let i = c - 68. What is the remainder when i is divided by r?
8
Suppose -4*g - 4*b + 28 = 0, -2*b - 35 = -4*g - g. Calculate the remainder when 19 is divided by g.
5
Let u = -623 + 919. Suppose 3*y + u = -y. Let o = -42 - y. What is the remainder when o is divided by 11?
10
Calculate the remainder when ((-9)/9)/(-2*1/166) is divided by 28.
27
Let d be ((-8)/6)/((-6)/45). Suppose 5*s - 15 - d = 0. Let o = -4 + 13. What is the remainder when o is divided by s?
4
Suppose 4*c - 13 = 4*a - 5, a =