Let w(b) = b**2 - 11*b + 16. Let k be w(13). Let a = k - 30. Calculate the remainder when 45 is divided by a.
9
Let b = 58 - 40. What is the remainder when 232 is divided by b?
16
Let j(m) be the third derivative of m**2 + 0 + 1/10*m**5 - 1/12*m**4 + 0*m + 1/6*m**3. Calculate the remainder when j(-3) is divided by 21.
19
Suppose -2*b + 8 = 0, -2*z - 11 = -b + 3. Let c(m) = m**2 - 2*m**2 - 8 - 8*m + 1. Calculate the remainder when c(z) is divided by 3.
2
Let o be (-4)/6 - (-66)/18. What is the remainder when ((-15)/(-2))/(o/16) is divided by 14?
12
Suppose -4*b = 20, -30 = 3*p + 3*b + 39. Let j = p + 29. Calculate the remainder when 43 is divided by j.
10
Let b(d) = -d - 4. Let x be b(-9). Suppose -x*y = 2*a - 24, -3*y - 21 - 1 = -4*a. Calculate the remainder when 27 is divided by a.
6
Let z = 5 + -1. Let q(c) = -z + 2*c**2 + 1 + 1 - c. Calculate the remainder when q(5) is divided by 15.
13
Let j = 8 + -3. Let q be 2/(-5) - (-410)/25. Suppose -5*u = 5*i - 8*i - 16, 3*u = 5*i + q. Calculate the remainder when j is divided by u.
1
Let x(a) = 2*a**3 + 5*a**2 - 2*a. Let g(s) = -5*s**3 - 9*s**2 + 3*s. Let u(r) = 3*g(r) + 5*x(r). Calculate the remainder when u(-2) is divided by 18.
16
Let a = -37 - -49. What is the remainder when 21 is divided by a?
9
Suppose 0 = -3*q + 10 + 2. Suppose -q*n = -35 + 15. Suppose -v = 5*f - 125, -n*f - 4*v + 2*v = -125. What is the remainder when f is divided by 9?
7
Let v(o) = -2*o**2 + 11*o + 4. Let q(d) = d**2 - 5*d - 2. Let s(a) = 9*q(a) + 4*v(a). Calculate the remainder when 28 is divided by s(4).
8
Calculate the remainder when 14 is divided by (-1)/(-1)*(4 + 0).
2
Let s(z) = z**2 + 2*z. Let q be s(-2). Suppose 5*c = -3*v + 15, 0 = -5*c + v - 5. Suppose l + c*l - 4 = q. What is the remainder when 6 is divided by l?
2
Let y = -2 - -6. Suppose 4*c + 2*t = t + 28, 3*c = y*t + 40. Calculate the remainder when 21 is divided by c.
5
Suppose -9 = -4*y - 1. Let n = 23 + y. What is the remainder when n is divided by 13?
12
Let t(y) = y**3 - 5*y**2 + 3*y + 7. Let b be t(4). Suppose -j = -b*o - 14, 0*o + 2*o = 2*j - 40. Calculate the remainder when 67 is divided by j.
21
Suppose -12 = -2*t - 4*h, -3*h + h = 5*t - 14. Calculate the remainder when 6 is divided by t.
0
Let w = -44 - -50. What is the remainder when w is divided by 2?
0
Let w = -105 - -339. Let p(k) = 2*k**2 - k - 1. Let c be p(-1). Suppose -c*a - a = -w. What is the remainder when a is divided by 20?
18
Calculate the remainder when (3 + 1)/(2/22) is divided by 23.
21
Calculate the remainder when 43*3/(6 - 3) is divided by 14 + -2 - 3*-1.
13
Let a(s) = 2*s**2 - 2*s + 22. What is the remainder when 130 is divided by a(0)?
20
Suppose -3*d - 11 = -5*f + 4*f, f + 4*d + 10 = 0. Suppose -11 = -f*n + 15. What is the remainder when n is divided by 7?
6
Calculate the remainder when (-5)/(-20) + 270/8 is divided by 9.
7
Let s(j) = 4*j**2 + 4*j + 3. Let u be s(-2). Suppose 0 = 2*n + 21 + u. Let c = n - -26. What is the remainder when 18 is divided by c?
8
Suppose 5*q = 3*s - 71, s + 2*q + q - 5 = 0. Calculate the remainder when 33 is divided by s.
16
Suppose -t - 2*l = -6*l - 54, 0 = 2*l - 2. What is the remainder when t is divided by 31?
27
Let z = -12 - -83. What is the remainder when z is divided by 9?
8
Let l(s) = -s - 5. Let h be l(-7). Suppose h*v + 3 = 43. What is the remainder when 5/v + (-174)/(-8) is divided by 12?
10
Let s(x) = -x**3 + 5*x + 5. Calculate the remainder when s(-4) is divided by 26.
23
Suppose -2*g - 19 = -4*v + 45, g = 4. What is the remainder when v is divided by 3?
0
Let i = -63 - -114. What is the remainder when i is divided by 26?
25
Suppose -7*d - 15 = -148. Calculate the remainder when d is divided by 3.
1
Suppose -4 = -2*o + 3*o. Let w(b) = 2*b**2 - 6*b - 7. Let a be w(5). Let q = a - o. What is the remainder when 49 is divided by q?
15
Let p be (-2 + 7)/(3/30). Suppose 0 = -2*m + 2*t + p, 3*m + 3*t - 67 = -2*t. What is the remainder when m is divided by 9?
6
Let y be -1*(-1)/(-2)*-4. Let r be ((-3)/y)/((-9)/30). Suppose k - 27 = -5*i, r*k + 0*i + 3*i = 47. What is the remainder when 19 is divided by k?
5
Suppose -20 = -4*a + 4*j, 4*a + 4*j = 32 + 28. Suppose a = -3*r - 5, 0 = 4*z + 2*r - 126. What is the remainder when z is divided by (-16)/(-3)*45/20?
10
Suppose -7*m + 3 = -4. Suppose 0*v - 3*o = 2*v - 14, 3*o - 1 = -v. Suppose -m = 2*s - v. Calculate the remainder when 17 is divided by s.
5
Suppose 4*a = -5*c + 209, -a + 0*c = 2*c - 56. Calculate the remainder when 181 is divided by a.
43
Let w(u) be the third derivative of -5/6*u**3 - 1/60*u**5 + 1/3*u**4 + 0*u + 0 - u**2. What is the remainder when w(7) is divided by 1?
0
Let c(p) be the second derivative of p**5/20 + p**4/2 + p**3 + 2*p**2 + 2*p. Let u be c(-5). Let i = u + 2. Calculate the remainder when 2 is divided by i.
0
Let p(t) = 27*t**2 + 1. Let q = -13 - -31. Let g = -8 + q. Calculate the remainder when p(1) is divided by g.
8
What is the remainder when (1 - 7)*130/(-20) is divided by 8?
7
Suppose -4*n - 1 = -9. Suppose 0 = -n*y - 2*y + 72. Calculate the remainder when 35 is divided by y.
17
What is the remainder when 366/18 + 2/3 is divided by 12?
9
Let r(m) = 3*m**3 - 3*m**2 + 2*m - 1. Let z be r(3). Let a = -33 + z. Let k = -13 + a. What is the remainder when 38 is divided by k?
12
Suppose -2*t = -g - 7, 4*t + 3*g + 8 = -3. What is the remainder when 19 is divided by -2 - -1 - -12*t?
8
Let k = 15 - 8. What is the remainder when 41 is divided by k?
6
Let g = -68 - -110. Suppose 3*r + 0*r = g. Calculate the remainder when r is divided by 5.
4
Let z(a) = a**3 + 21*a**2 + 26. What is the remainder when 73 is divided by z(-21)?
21
What is the remainder when (-304)/(-10) - 14/35 is divided by 8?
6
Let s(g) = 12*g**2 + 1. Let r = 1 - 3. What is the remainder when s(r) is divided by 17?
15
Suppose -5*c + 27 = 2*q, 4*c - 5*c = -2*q + 9. Suppose 0 = 4*u - 37 - 107. Let m = -25 + u. Calculate the remainder when m is divided by q.
5
Suppose -4*v + 3*v + 5 = 0. Calculate the remainder when 7 is divided by v.
2
Let n be 2/7 - (-208)/7. Suppose -3*r + 0*r = -3*j - 24, 3*r - n = 5*j. Let u(f) = 3*f**2 - 3*f + 3. What is the remainder when u(j) is divided by 14?
11
Let x(q) = 2*q - 8. What is the remainder when (-2 + -36)/(-1 + -1) is divided by x(9)?
9
Let l = -49 + 51. Suppose 4*v + 9 = 3*a - 19, v - 62 = -5*a. Suppose -b + l = -a. Calculate the remainder when 27 is divided by b.
13
Suppose 0 = -o - g + 6, -g - 30 = -5*o + 2*o. What is the remainder when 31 is divided by o?
4
Suppose -2*q + 4*o = -0 + 4, -o = -2. Suppose 0*r + q*r = -342. Calculate the remainder when 3/4 - r/12 is divided by 8.
7
Let g = 3 - -3. Suppose 0 = 2*h - h - 5. Suppose 3*k - 94 = -h*t - 0*k, 0 = 2*t + 3*k - 43. What is the remainder when t is divided by g?
5
What is the remainder when 30 is divided by (-1)/((-59)/(-12) + -5)?
6
Let y(i) = 3*i**2 + i. Suppose -8*n + 6*n = -4. Calculate the remainder when y(-1) is divided by n.
0
Suppose 0 = -9*q + 4*q + 10. Let i = 14 + q. Suppose 0 = -x + 5 + 41. Calculate the remainder when x is divided by i.
14
Let x be 5/2 - 5/10. What is the remainder when 5 is divided by 4/x*2/2?
1
Let m = 37 - 3. What is the remainder when m is divided by 14?
6
Let x(f) = 7*f**2 + 1. Let p = 13 - -2. What is the remainder when p is divided by x(-1)?
7
Let k = -16 - -9. Let g = 10 + k. What is the remainder when 4 is divided by g?
1
Let j = -4 + 17. What is the remainder when j is divided by 7?
6
Suppose h - 30 = 3*b, -4*b = 2*h + 3*h - 131. What is the remainder when h is divided by 5?
2
Suppose -2*t + 21 = -21. Calculate the remainder when 59 is divided by t.
17
Calculate the remainder when 34 is divided by (-24)/18*(-15)/1.
14
Let k(u) = -u**3 - 5 - u**2 - 3 + 7*u**2 + 9*u. Calculate the remainder when 16 is divided by k(7).
4
Let a(u) = 4*u**2 - 2*u + 4. Let l be (-10)/(-15)*18/(-4). Calculate the remainder when a(l) is divided by 16.
14
Let a(w) be the third derivative of w**4/24 + 10*w**3/3 - 7*w**2. Suppose 4*j - 86 = 2*j. Calculate the remainder when j is divided by a(-9).
10
Let f = 5 - -4. Suppose 0*p + p = 1. What is the remainder when f is divided by (3*(p - 2))/(-1)?
0
Suppose 2*o + 116 = 3*v, -3*v + 88 = -0*v + 5*o. Suppose -4*y + v = -y. Calculate the remainder when 35 is 