 43. Let y = -3 - -13. What is the remainder when f is divided by y?
7
Let o(f) = f**3 + f + 42. Let h be o(0). Suppose -4*g + h = -g. What is the remainder when 25 is divided by g?
11
Let h(m) = m**2 + 2*m + 17. Calculate the remainder when h(-7) is divided by 9.
7
Suppose -3*j + 2*i = -5, 2*j - 6*i - 18 = -i. Suppose 0 = 2*r + 4*u - 12, -u = -2*r + 5*r - 8. Let f = r + j. Calculate the remainder when f is divided by 1.
0
Let x(w) = -2*w + 13. What is the remainder when 63 is divided by x(0)?
11
Let w(a) = -4*a + a**2 - a - 11 - 4*a. What is the remainder when 19 is divided by w(11)?
8
Suppose 0*q - 4 = -2*q. Let m = 11 - q. What is the remainder when 24 is divided by m?
6
Suppose -6 = -3*t - 0. Suppose 0 = -t*c + c + 9. What is the remainder when c is divided by 6?
3
Suppose 0 = -2*p + 163 - 29. Let d = p + -48. What is the remainder when d is divided by 11?
8
Let u = 37 - 20. Suppose 0*s + 2*s = 3*b + 101, 3*s + 3*b - 144 = 0. What is the remainder when s is divided by u?
15
Let t(m) = -23*m. What is the remainder when 66 is divided by t(-1)?
20
Suppose -4 = -2*n - 2*q + 2, 4*q + 44 = 3*n. Calculate the remainder when 22 is divided by n.
6
Calculate the remainder when 56 is divided by (7 - (-2 - -3))/((-12)/(-40)).
16
Let u = 19 + -14. Suppose 16 + u = p. Calculate the remainder when 83 is divided by p.
20
Suppose m = 2*p + 1, -m + 4*m + p - 10 = 0. What is the remainder when 23 is divided by m?
2
Let v = 36 - 23. Let y = 90 + -53. What is the remainder when y is divided by v?
11
Let a = 3 - 0. Suppose a*z - 26 = 46. What is the remainder when z is divided by 9?
6
Let s(c) = c + 2. Suppose 5*h - 15 = 2*h. Calculate the remainder when h is divided by s(0).
1
Suppose -m + 38 = 1. Let j(y) = -3*y - 7. Let i be j(-6). Suppose -2*b = i - m. Calculate the remainder when b is divided by 7.
6
Let b = -15 - -31. Let r(g) = g**3 - g**2 - 5*g + 4. Let h be r(3). Let t(s) = s - 1. What is the remainder when b is divided by t(h)?
4
Suppose 2*c - 27 - 7 = 0. What is the remainder when c is divided by 11?
6
Suppose -4*s - 1 = -13. Let f(k) = k**2 + 3*k + 4. Suppose 3*d - 11 = -3*x - 2*d, 2 = 2*x + 2*d. What is the remainder when f(x) is divided by s?
1
Let u(x) = x**2 - 10*x. Let f = 8 + -11. Calculate the remainder when u(11) is divided by 2*2 + f + 5.
5
Suppose 3*u = u + 48. Calculate the remainder when u is divided by 7.
3
Let z = -34 - -63. Let k = z + -17. Let p(g) = -3*g + 1. Calculate the remainder when p(-11) is divided by k.
10
Let j(q) = -5 + 3 + 48*q + 3. Calculate the remainder when j(1) is divided by 4/12 + (-50)/(-3).
15
Let i = 232 + -201. What is the remainder when i is divided by 19?
12
Suppose 4*s = 3*a + 150, -5*s + a + 91 = -91. Calculate the remainder when s is divided by 19.
17
Let m(b) = -b**2 - 17*b + 47. What is the remainder when 53 is divided by m(-19)?
8
Let x(j) be the third derivative of -j**5/60 - j**4/3 + j**3 - j**2. Let u be x(-8). Calculate the remainder when 3 is divided by 4*(-1 - (-9)/u).
1
Let s(r) be the second derivative of r**4 + r**2/2 + r. Calculate the remainder when 25 is divided by s(-1).
12
Suppose 6*v - 5*v = 13. Let u = 9 + v. Suppose 0 = -3*q + 4*t + 20, q + 0*t - 24 = -3*t. Calculate the remainder when u is divided by q.
10
Suppose 0 = -2*q + 28 + 12. Suppose -4*s + 0 + q = 4*t, -4*s + t = -40. Calculate the remainder when 16 is divided by s.
7
Suppose 3*b - 54 = -0*b. Let i(t) = 6*t**2 - t - 4. What is the remainder when i(-3) is divided by b?
17
Let i(f) = -7*f**2 - f + 1. Let q be i(1). Let l = 11 + q. Calculate the remainder when 11 is divided by l.
3
Suppose 2*s + 1516 = 5*c, -7*c + 1519 = -2*c - 3*s. What is the remainder when 43 is divided by (-6)/(-14) + c/14?
21
Let c be (-15 + 5)/((-4)/6). Suppose -u - c = -6*u. Suppose -s + 7*t - 12 = 2*t, 3*t + 6 = 5*s. Calculate the remainder when s is divided by u.
0
Let h(c) = -2*c**2 - 63*c + 37. Calculate the remainder when h(-32) is divided by ((-3)/5)/((-1)/5).
2
Calculate the remainder when (-33)/(-44) - 242/(-8) is divided by 19.
12
Suppose -5*b + 5 = 0, -2*k - 5*b = -2*b - 63. What is the remainder when k is divided by 11?
8
Suppose -b - 48 = -3*d - 4*b, -9 = -3*b. What is the remainder when 23 is divided by d?
10
Suppose 0 = c + c + 16. Let o(z) = z**3 + 7*z**2 - 9*z + 9. Calculate the remainder when 48 is divided by o(c).
14
Let p(f) = -17*f. Calculate the remainder when 82 is divided by p(-1).
14
Suppose -4*u = -7*u + 6. What is the remainder when u is divided by 1?
0
Let y(v) = -v**2 + 3*v + 4. Let u be y(4). Suppose u = -5*k + 4*k + 9. What is the remainder when 26 is divided by k?
8
Let v(c) = -c**3 - 4*c**2 - 5*c + 7. Suppose -4*q - 30 = -6*q. Calculate the remainder when v(-5) is divided by q.
12
Calculate the remainder when (-8)/36 + ((-368)/9)/(-4) is divided by 6.
4
Suppose 2*g - 10 = 26. Calculate the remainder when 86 is divided by g.
14
Let o = -172 + 244. What is the remainder when o is divided by 19?
15
Let c(a) = 7*a + 2*a**2 + 6*a**2 - 5*a**2 - 2*a**2 - 10. What is the remainder when 15 is divided by c(-9)?
7
Let q(v) = 9*v**3 - 3*v**2 - 3*v - 1. Let y(d) = -14*d**3 + 4*d**2 + 5*d + 1. Let z(t) = 8*q(t) + 5*y(t). What is the remainder when z(3) is divided by 7?
4
Let b(s) = -s**3 + 13*s**2 + 14*s + 3. Let v be b(14). Suppose v + 9 = 3*d. What is the remainder when 10 is divided by d?
2
What is the remainder when 74 is divided by (25/100)/(1/100)?
24
Let x be (104/(-16))/(1/(-2)). Suppose -8*h + x*h - 55 = 0. Suppose 5*n = 3*n + 40. Calculate the remainder when n is divided by h.
9
Let i = 58 + -41. Let g = i - 3. Calculate the remainder when (-1 - -1) + 1 + 39 is divided by g.
12
Let h(i) = -27*i. Let s be h(1). Let x(d) = d**2 + 2*d + 3. Calculate the remainder when (2 - 53)*9/s is divided by x(-3).
5
Suppose -5*n = -5*x - 180, -3*n + 2*x + 152 = n. Let q = -38 - -52. What is the remainder when n is divided by q?
12
Let n(z) = -z**3 - 7*z**2 - 2*z - 2. Let m be n(-6). Let k = -17 - m. Let b = -7 + k. Calculate the remainder when 3 is divided by b.
1
Let r(q) = 11*q + 1. Let p be r(1). Let w = p + -5. Suppose -y - 81 = -100. What is the remainder when y is divided by w?
5
Let m(b) be the third derivative of -b**5/60 + b**4/6 + 2*b**3/3 + b**2. Let g be (4/(-6))/(16/(-96)). What is the remainder when m(g) is divided by 3?
1
Let g(r) = -r + 8. Let i(v) = v**2 + 7*v + 1. Let h be i(-8). Suppose 4*m + h = -5*y, 3*m + 4*y + 8 = -0*y. What is the remainder when 10 is divided by g(m)?
2
Suppose -27 - 3 = -y. Calculate the remainder when y is divided by 16.
14
Suppose 3*p - 4*f - 32 = 0, -p + 0*f + f = -9. Calculate the remainder when 0 - (-12 + (2 - -1)) is divided by (-1 + 2)*1 + p.
4
Let w(g) = 13*g + 2. What is the remainder when w(5) is divided by 23?
21
Let s(b) = b**3 - 6*b**2 + 7*b - 3. Let v be s(5). Suppose 27 = -4*r + v*r. Calculate the remainder when r is divided by 3.
0
Let a(n) = -n**3 + 3*n**2 + n - 1. Suppose 3*k = -o - 5, 2*o + 35 = 6*o + k. Calculate the remainder when a(-2) is divided by o.
7
Let z = 88 - 65. Calculate the remainder when 67 is divided by z.
21
Let c be (0 - -1)/(2 - 1). Let m(d) = 7*d**3 - 2*d + 1. Calculate the remainder when 15 is divided by m(c).
3
Suppose 2*o - 2 - 4 = 0. Calculate the remainder when 31 is divided by (-4)/o*(-12 - 0).
15
Let y(w) = 20*w**2 + 1. Calculate the remainder when 144 is divided by y(-1).
18
Let i(g) be the second derivative of g**3/3 - g**2 - g. Suppose -4*n + 4 = -4. What is the remainder when n is divided by i(2)?
0
Let d(x) = x**3 + 5*x**2 - 6*x + 5. Let j be d(-6). Suppose 3*i - j - 10 = 0. Let b = 6 - i. What is the remainder when b is divided by 1?
0
Let u = -11 - -17. Let b = 40 - 30. What is the remainder when b is divided by u?
4
Let y(r) = r**2 + 8*r + 9. Let p be y(-7). Let v = 9 - p. Suppose 0*g = -g + 13. Calculate the remainder when g is divided by v.
6
Let d(b) be the third derivative of b**4/6 - b**3/2 - 2*b**2. Let w(q) = 4*q + 6. Calculate the remainder when w(8) is divided by d(4).
12
Suppose 5*w + 396 = -4*h + w, 4*w = -5*h - 494. Let m = h + 139. Let g(u) = -u + 21. What is the remainder when m is divided by g(10)?
8
Calculate the remainder when 1 - (-4)/(7/((-350)/(-4))) is divided by 13.
12
Suppose 0 = -4*s + 16, a - 4 + 0 = s. Let j = -23 - -33.