- 7. Let i(q) = q + 1. Let d(b) = -f(b) + 3*i(b). Calculate the remainder when d(7) is divided by s(11).
1
Let b(x) = -x + 10. What is the remainder when 3 is divided by b(9)?
0
Suppose 0*x + 2*x - 24 = 0. Calculate the remainder when x is divided by 8.
4
Let u(h) = h**2 - 5*h - 14. Let f be u(6). Let y = 44 + f. What is the remainder when y is divided by 19?
17
Let k(c) = c + 51. What is the remainder when k(-11) is divided by 6?
4
Suppose -q = -0 + 3. Let b(w) = -3*w**3 - 4*w**2 - 1. Suppose 0 = -z - 2*z - 5*p + 65, 0 = z - 5*p + 5. What is the remainder when b(q) is divided by z?
14
Let u = 29 - 8. Calculate the remainder when 60 is divided by u.
18
Let m = 11 + 1. Let i(z) = z**2 + 3*z - 2. Let s be i(-3). Calculate the remainder when m is divided by 7*s/(-1 - 1).
5
Let l = -131 - -199. Let t be (-6)/(-27) - l/(-18). What is the remainder when 19 is divided by (-1)/t*-2*22?
8
Suppose 0 = -4*x + 41 - 17. Let o(c) = -c + 2*c**2 - 1 + 2*c + 4*c. Calculate the remainder when o(-4) is divided by x.
5
Let q = -8 - -11. Calculate the remainder when (1 - 0)/((-1)/(-5)) is divided by q.
2
Let k be -2*(-15)/6 - 1. Let y = k + -2. Suppose -5*a + 5 = -5. What is the remainder when y is divided by a?
0
Suppose 3*k + k + q - 24 = 0, 5*k + 3*q - 23 = 0. Suppose 4*x - 55 = -5*n, -9 = -4*x + 2*n + 81. What is the remainder when x is divided by k?
6
Let v be 6/(-2) - (0 + 36). Let j = 90 + v. Calculate the remainder when j is divided by 13.
12
Let l = 23 - -14. What is the remainder when l is divided by 20?
17
Let w(f) = 7*f**3 - f**2 + 2*f - 1. Let g(m) = m**3 - 11*m**2 + 10*m + 1. Let q be g(10). Calculate the remainder when 25 is divided by w(q).
4
Let z(u) = -15*u. Let t(a) = -3*a + 8. Let i be t(8). Let m = -12 - i. Calculate the remainder when z(-1) is divided by m.
3
Let r(m) = m - 2. Suppose 12 = -7*l + 3*l + 2*i, -l = 5*i + 3. Let h be r(l). Let c = 13 + h. What is the remainder when 15 is divided by c?
7
Suppose -40 = -0*z + 4*z - 4*s, 2*s = 3*z + 26. Let u = -4 - z. Suppose 5*v = -u*q + 17, 4*v - 4*q - 3 = 33. What is the remainder when 8 is divided by v?
3
Let b = -16 - -26. Calculate the remainder when b is divided by 6.
4
Suppose -240 = -4*t - 4*t. What is the remainder when t is divided by 19?
11
Let x(h) = h - 9. Let r be x(7). Let i = r + 3. What is the remainder when 1 is divided by i?
0
Let a(t) be the third derivative of -17*t**4/6 - t**3/3 - 2*t**2. Let c be a(3). Calculate the remainder when c/(-8) - 2/(-8) is divided by 9.
8
Suppose -k = -2*j + 7 + 1, -5*j = -k - 17. Suppose -16 = -3*m - m, 3*p - 87 = j*m. Calculate the remainder when p is divided by 12.
9
Suppose 0 = 3*i + 5*n - 278, 0 = 2*i - 0*n + 5*n - 187. Let r = i - 63. Let d = r - 5. Calculate the remainder when d is divided by 8.
7
Let y be 15/(-20)*8/(-3). Suppose -5*o + w = -239, 3*o = -o - y*w + 194. What is the remainder when o is divided by 17?
14
Let y = -3 + 5. Let n(m) = m**2 - m + 1. Suppose -13*k + 17*k = 16. What is the remainder when k is divided by n(y)?
1
Suppose 196 = 2*l - 16. What is the remainder when l is divided by 27?
25
Let y = 10 - -4. Let f be (-3)/(-6)*y - 1. What is the remainder when 6 is divided by 4/f + (-30)/(-9)?
2
Let i = 92 - -3. What is the remainder when i is divided by 16?
15
Let o(i) = 2*i - 7. Let f be o(5). Let n = 6 - f. What is the remainder when 6 - ((7 - 2) + -9) is divided by n?
1
Let l(j) = j**2 - 6*j + 7. Let q be l(6). Suppose -148 = 5*k - q*k. What is the remainder when k is divided by 19?
17
Suppose 0 = -2*z - 0*z + 80. Suppose 4*a - 123 = -3*u + z, 3*a - 123 = -3*u. Calculate the remainder when 3/((-6)/a*-2) is divided by 6.
4
Suppose -26 = -3*x + 2*c, -3*x = -2*x + 4*c + 10. Suppose 9 = n - 0*n. Suppose 4*a - 4*v - 32 = 0, 7 + n = -4*v. What is the remainder when x is divided by a?
2
Let k(u) = u**2 - 19*u - 33. What is the remainder when 17 is divided by k(21)?
8
Suppose 3*a - 6 = -y, 2*y + 2*a - 7 = 21. Suppose -q + y = l - 9, 0 = 4*q - 2*l - 120. What is the remainder when 56 is divided by q?
27
Let y = 100 + -86. What is the remainder when 53 is divided by y?
11
Let t = -4 + -20. Let o = 8 - 1. What is the remainder when -3 - (t + (-2)/(-1)) is divided by o?
5
What is the remainder when 55 is divided by -5 - -6 - (-36)/2?
17
Let i(p) = -p**2 + 7*p - 6. Calculate the remainder when 11 is divided by i(4).
5
Let m = -1 - -5. Suppose -m*v - 7 = -5*v. Calculate the remainder when v is divided by 4.
3
Let w(a) = -1 - 5*a + 2*a**2 + 3*a**2 - 5*a**2 - a**2. What is the remainder when 7 is divided by w(-2)?
2
Suppose 22 = 4*h + 2. What is the remainder when h is divided by (-13)/(-4) - (-9)/(-36)?
2
Suppose 0 = 6*s - 4*s - z - 29, 5*s + 4*z = 105. What is the remainder when s is divided by 9?
8
Suppose 0*p + z = -5*p + 30, -5 = 3*p - 4*z. Suppose p*q = 6 + 14. What is the remainder when q is divided by 3?
1
Let d be 2/(-6) - (-280)/12. Suppose 5*k = z - d, 2*k + 21 - 1 = 4*z. Calculate the remainder when 4 is divided by z.
1
Suppose 5*p - 19 = 4*z, -2*z = p + 1 - 2. Suppose -c - 2*w = -32, p - 26 = -c - 5*w. Suppose -s + 8 = -12. What is the remainder when c is divided by s?
18
Let k(t) be the first derivative of t**4/4 - 8*t**3/3 + 9*t**2/2 + 9*t + 4. Calculate the remainder when k(7) is divided by 8.
7
Let x be ((-18)/15)/(5/150). What is the remainder when (x - 0)/(-3) + -2 is divided by 4?
2
Let h be (2 + -1)*(-2)/(-2). Let j = 4 + h. Suppose -j*m + 63 = 18. Calculate the remainder when 25 is divided by m.
7
Suppose -2*u = -5*l - 27, -2*l = 2*l + 12. What is the remainder when 13 is divided by u?
1
Let g(d) = -d**3 + 6*d**2 - 3*d + 5. Let n be g(4). Suppose 0 = f, -3 = -4*k + f + n. What is the remainder when 20 is divided by k?
6
Suppose -2*u = 4*z - 108, -5*u + 2*z + 84 = -3*u. What is the remainder when u is divided by 13?
7
Suppose 2*i + 36 + 28 = 0. Let s = i + 66. Calculate the remainder when 65 is divided by s.
31
Suppose 2*z + 5*d + 13 + 8 = 0, 25 = -5*d. Calculate the remainder when 51 is divided by (16 - 2) + (1 - z).
12
Let q(i) = -6*i**2 + i + 1. Let n be q(-1). Let c(o) = 4*o + 8*o**2 - 5 - 6*o**2 + 0 - 2. What is the remainder when c(n) is divided by 14?
13
Let v(k) = -k + 31. Let a be v(0). Let n be 8/12 + 4/(-6). Suppose -a = -3*p - 4*o + 3*o, 4*p + o - 41 = n. What is the remainder when p is divided by 4?
2
Let c = 5 - -7. Suppose 2*q = -62 - c. What is the remainder when (-3 - q) + 0 + 1 is divided by 12?
11
Let v(j) = j**2 + 6*j + 1. Let r be v(-7). Suppose -3*n + r = -4. Let w(p) = 2*p + 21. Calculate the remainder when w(-5) is divided by n.
3
Suppose -3*b + 2*f + 44 = 0, 2*f + 57 = 4*b + f. Calculate the remainder when 26 is divided by b.
12
Let d = -8 - -12. Suppose d*z - 41 = -3*n - 2*n, 4*n = -4*z + 36. Suppose 21 + z = l. What is the remainder when l is divided by 9?
7
Let k(j) = -3*j - 5*j + 3*j + 6. Suppose 0*w = 4*w + 20. What is the remainder when k(w) is divided by 11?
9
Suppose j = -j - 2*x + 26, 3*j - 55 = x. Calculate the remainder when j is divided by ((-11)/(-2))/(5/10).
6
Let w be (8/2 - 3)*11. Let z(g) = -g**2 + 13*g - 8. What is the remainder when 53 is divided by z(w)?
11
Suppose -5*p + 649 = 104. What is the remainder when p is divided by -3*(-35)/(-60)*-16?
25
Let y = 89 + -77. What is the remainder when 19 is divided by y?
7
Let w = -11 + 23. Let s = w + 25. Suppose -4*i - 16 = -v - 3*i, 0 = 4*v + 3*i - 43. Calculate the remainder when s is divided by v.
11
Let o = -22 - -15. Let l(u) = -u**3 - 8*u**2 - 8*u - 2. Calculate the remainder when l(o) is divided by 3.
2
Let x(i) = -12*i - 1. Let h(s) = s**3 + 3*s**2 - 2*s + 5. Let n be h(-4). What is the remainder when x(n) is divided by 12?
11
Suppose 16*s - 119 = 9*s. What is the remainder when s is divided by 5?
2
Let j(x) = 9*x**2 - 2*x + 1. Let o be j(1). Suppose -20 = -3*l - o. What is the remainder when l is divided by -1 - -4 - (9 - 8)?
0
Let f(h) = 2*h - 6. Let p be f(3). Suppose -6 + p = -3*r, 2*d - r = 26. Suppose 0*i = -i + 40. Calculate the remainder when i is divided by d.
12
Suppose 3*r = 5*f + r - 40, 2*f = -r + 16. Let l = -18 + 39. Calculate the remainder when l is divided by f.
5
Let p = 18 - 15. Suppose -5*d = 5*s - 9 - 41, -5*s + 26 = -p*d. What is the remainder when 18 is divided by s?
4
Let m(o) = -o**2 - 9*o + 6