m(z) be the first derivative of b(z). Calculate the remainder when m(6) is divided by 5.
3
Let q = 0 - 0. Suppose -3*s - 2*i = -40, -2*i = 4*s - 0*i - 54. Calculate the remainder when 2 + q + -1 + 24 is divided by s.
11
Let s(b) = -b**3 + 22*b**2 - 20*b - 4. Suppose 3*i + 33 = 3*q, 2*q - i + 0*i = 17. What is the remainder when s(21) is divided by q?
5
Suppose -5*u - 5*g + 65 = 0, 3*u + 4*g - 43 = 3*g. Let b = 54 - u. What is the remainder when b is divided by 20?
19
Let k = -37 - -74. Calculate the remainder when k is divided by 20/14*(8 + -1).
7
Suppose -3*j + 5*j - 5*u = 91, -5*j - 5*u + 140 = 0. Let d = -23 + j. Let y(i) = -7*i - 5. Calculate the remainder when y(-6) is divided by d.
7
Let m be (-4)/(-6) + (-11)/3. Suppose 2*c = -4 + 18. Let l = m + c. What is the remainder when 10 is divided by l?
2
Let f(s) = -4*s - 1. Let d be -2 - -3 - (0 - 1). Let o(c) = -c + 1. Let a(l) = d*o(l) + f(l). What is the remainder when a(-1) is divided by 4?
3
Suppose x = 6*x - 40. What is the remainder when 39 is divided by x?
7
Let p(g) = -g**2 - 4*g - 3. Let y(o) = -2*o - 4. Let b be y(-4). Suppose -b*r = -r - 6. Calculate the remainder when r is divided by p(-2).
0
Let f = -9 + 3. Let a(v) = -v**3 - 5*v**2 + 5*v + 9. Suppose 139 = 5*x - 81. Calculate the remainder when x is divided by a(f).
14
Calculate the remainder when 1/(-3) + (-98)/(-6) is divided by 9.
7
Let j = 6 + -6. What is the remainder when 9 is divided by (j - 1) + (-48)/(-8)?
4
Let w = 8 - -5. What is the remainder when w is divided by 5?
3
Suppose 4*w - 36 = -2*f, -f + 0 = 4*w - 10. Let o = 12 - 10. Suppose 0 = 5*q - 5, -2*h + 23 = 3*q + o*q. Calculate the remainder when f is divided by h.
8
Suppose 20 + 0 = -4*i, 4*g = 2*i + 110. Calculate the remainder when 97 is divided by g.
22
Let b(d) = -d**2 + 12*d + 17. Let l be b(13). Suppose 2*y = -5*z + 87, l*y - 74 = -4*z - 14. What is the remainder when z is divided by 10?
9
Let y(z) = 7*z - 2. What is the remainder when 21 is divided by y(2)?
9
Let v = 81 - 69. Calculate the remainder when v is divided by 5.
2
Suppose -7 = -a + 28. Let w be -3*2/(-9)*-3. What is the remainder when a is divided by (w + -6)/((-2)/3)?
11
Let p = 15 - 28. Let j = p - -25. Suppose 0*d + 3*y + 130 = 5*d, y = d - 28. What is the remainder when d is divided by j?
11
Suppose -l + 30 = 12. Suppose -3*o + 8 = -b, -4*o - 4*b + 14 = -l. Calculate the remainder when (-9)/((-4)/(8/3)) is divided by o.
2
Suppose -3*t = -0 + 9, -5*s = -4*t - 262. Suppose 4*r = -r + s. Suppose 2 + 17 = q. What is the remainder when q is divided by r?
9
Calculate the remainder when 143 is divided by 5 - 847/(-35) - 2/10.
27
Suppose 3*l - 7 = -3*o - 4, 0 = 4*l. Suppose 5*z = z - 4. Calculate the remainder when ((-32)/(-4))/(o - z) is divided by 2.
0
Let j = 536 + -171. Calculate the remainder when 34 is divided by j/30 + 1/(-6).
10
Let f = -14 + 17. Suppose 0 = q - 4*i - 43, -f*i = -5*q + 334 - 85. Calculate the remainder when q is divided by 14.
9
Let o(f) = -f**3 - 5*f**2 - 2*f + 12. What is the remainder when 41 is divided by o(-5)?
19
Let k(f) = f**3 + 7*f**2 - f + 10. Let d(p) = 1 + 10*p**2 - 3*p**2 + 3*p - p. What is the remainder when d(2) is divided by k(-7)?
16
Suppose -2*h = 3*h. Let z = h - 5. Calculate the remainder when 11 is divided by (-17)/(-6) - z/30.
2
Let g be ((-6)/4)/(3/(-392)). Suppose -5*c + c + g = 0. Calculate the remainder when c is divided by 19 + (-2)/3*3.
15
Let a = -140 - -202. What is the remainder when a is divided by 23?
16
Let z = 44 - -1. What is the remainder when z is divided by 12?
9
Let b(k) = 2*k - 1. Let j be b(-3). Calculate the remainder when 10 is divided by (4/(-2) - j) + -1.
2
Let p(b) = -b**2 - 8*b + 11. Let j be p(-9). Suppose 0 = j*o - 3*r - 48, 5*o - 4*r - 53 = 74. What is the remainder when o is divided by 10?
7
Suppose -2*w + 28 = 8. Calculate the remainder when 28 is divided by w.
8
Suppose 0 = -w + t + 12 - 1, 5*t = 3*w - 39. Calculate the remainder when 31 is divided by w.
7
Suppose 5 = 5*t, c - 8 = 4*t + 8. Let k(a) = a**2 + 13*a - 12. Let h be k(-14). What is the remainder when -1 - (h*-39)/2 is divided by c?
18
Suppose -42 = -5*s + 23. Let j(r) = r**2 - 10*r - 10. Calculate the remainder when 115 is divided by j(s).
28
Let s(m) = m - 7. Let t be s(5). Calculate the remainder when ((-6)/(-9))/(t/(-57)) is divided by 11.
8
Suppose -2*v = -5*v + 12. Calculate the remainder when v is divided by 2 + 0/3 + 1.
1
Suppose 3*u - u = 16. Let q(l) = -l**3 + 9*l**2 + 2*l + 3. What is the remainder when q(u) is divided by 21?
20
Let c = -7 + 14. Let t = c - 0. Calculate the remainder when t is divided by 4.
3
Let q = -33 - -35. Suppose 0 = -2*a + 2. Calculate the remainder when q is divided by a.
0
Let q(k) = -k**3 + 11*k**2 - 8*k - 10. Let u(y) = 10*y**2 - y + 1. Let t be u(1). What is the remainder when 19 is divided by q(t)?
9
Let m(f) = 2*f + 6. Let t be m(5). Let o be 28/t - (-2)/8. What is the remainder when 8 is divided by -3 + 4 - (-8)/o?
3
Suppose 60 = 3*z - 3*g, 0 = -3*g - 5 - 4. Let j(v) = v**2 + 0*v**2 - 16*v + 6*v + 8*v - 10. Calculate the remainder when z is divided by j(5).
2
Suppose -3*w - 3 - 1 = -2*s, -3*s - 12 = 0. Suppose 5*j = 2*r - 0*j + 4, -3*r - 6 = 5*j. Calculate the remainder when 14 is divided by (-21)/w + r/8.
4
Suppose 6*a - 2 = 8*a. What is the remainder when 33 is divided by (2*a)/((-3)/18)?
9
Let d = -4 - 2. Let j(x) = x**3 + 6*x**2 - 5*x + 5. Suppose 4*u + 80 = 5*v, v - 7 = -0*v - u. What is the remainder when j(d) is divided by v?
11
Let g(o) = 2*o**2 - 9*o + 6. What is the remainder when 10 is divided by g(4)?
0
Suppose -q + 330 = 4*q. Let o = q + -38. Suppose 3*p - 77 = o. What is the remainder when p is divided by 18?
17
Let f be 0/(4/(2*-1)). Suppose x - 18 = -f*x. Suppose 0 = -2*u - 14 + 34. What is the remainder when x is divided by u?
8
Suppose -5*b = -2*z - 30, 4 = -4*b - 2*z + 10. Calculate the remainder when 13 is divided by b.
1
Suppose -5*x + 14 + 16 = 0. Let f(p) = x - 7 + 10*p + 1. Calculate the remainder when f(2) is divided by 7.
6
Suppose 4*q - 6*q + 114 = 0. Suppose 3*a = -t + 5*t + 2, 5*t = -2*a - 37. What is the remainder when q is divided by (-5)/(a/(-9) - 1)?
12
Let s(x) = x**3 - x**2 - 2*x + 2. Let i be s(2). Suppose -45 = -5*k - 2*u, 4*k - i*k = 3*u + 18. Calculate the remainder when 33 is divided by k.
6
Let b(s) = s**2 - 10*s + 7. What is the remainder when b(12) is divided by 16?
15
Let h = -19 + 21. Suppose -2*j + 0 = w - 4, h*j + 4 = 0. Calculate the remainder when 15 is divided by w.
7
Let o(x) = -x**3 + 17*x**2 + x - 6. What is the remainder when 20 is divided by o(17)?
9
Let j(i) = i**3 - 6*i**2 + 3*i - 4. Calculate the remainder when j(6) is divided by 8.
6
Suppose -3 = -9*i + 8*i. Calculate the remainder when i is divided by 1.
0
Let z(w) = w - 8. Let i be z(6). Let j be i*(-3 + (-285)/6). Suppose -3*n = -n + 5*h - j, 6 = 2*h. What is the remainder when n is divided by 15?
13
Let b = -64 - -40. What is the remainder when 72 is divided by (-1 - (-2 + b))*1?
22
Let c(a) = -14*a + 0 + 4*a + 4 - 6*a. Calculate the remainder when c(-2) is divided by 19.
17
Suppose -i - 9 = -2*i. What is the remainder when 25 is divided by i?
7
Let r(f) = -f**3 + 6*f**2 - 5*f + 7. Let z = 11 - -2. Calculate the remainder when z is divided by r(5).
6
What is the remainder when 101 is divided by 8/12 + (-152)/(-6)?
23
Suppose -48 = -2*b - 12. What is the remainder when 4 is divided by ((-2)/3)/((-4)/b)?
1
Let y = 5 - 1. Suppose 0 = y*s - 1 - 3. Calculate the remainder when s is divided by 1.
0
What is the remainder when 41 - ((-12)/(-6) + 0) is divided by 7?
4
Suppose 5 = z + b, 2*b - 3*b - 7 = -2*z. Suppose -80 = -z*v - v. Let c = 11 - 2. Calculate the remainder when v is divided by c.
7
Let k(s) = -2 + 4 - 1 + s**2 - 5*s. What is the remainder when 11 is divided by k(6)?
4
Suppose 3*v - 26 = -2*p, -p = -8*v + 3*v + 13. Let b = p - 1. Calculate the remainder when b/4*212/6 is divided by 14.
11
Let r(x) = 54*x**2 + 2*x + 3. Let m(l) = l + 1. Let b be m(-3). Let t be r(b). Suppose -t = -3*k - 2*k. What is the remainder when k is divided by 15?
13
Suppose 2*p - 71 = -3*p + r, 5*r + 75 = 5*p. Calculate the remainder when 52 is divided by p.
10
Suppose -d = -6*d + 120. Calculate the remainder when d is divi