der when k is divided by -3*(1 - 50/15).
6
Let p(b) = -2*b - 12. Let v = 0 + 6. Calculate the remainder when p(-14) is divided by v.
4
Let y = 134 - 129. What is the remainder when 11 is divided by y?
1
Let c(o) = -o**3 + 12*o**2 - 11*o - 15. What is the remainder when c(9) is divided by 22?
19
What is the remainder when 41 is divided by (1/(3/(-45)))/(-1)?
11
Suppose 2*r + 12 = 5*r. Let n(j) = j**2 + j + 4. What is the remainder when 71 is divided by n(r)?
23
Let y = 51 - 25. Let r(x) be the third derivative of x**6/120 + x**5/10 + 7*x**4/24 + 5*x**3/6 + x**2. What is the remainder when y is divided by r(-4)?
8
Suppose 5*o - 2*w - 8 = 0, -2*o = w + 1 + 3. Suppose 0 = -o*j - j + 25. What is the remainder when j is divided by 14?
11
Let b(o) = -2*o - 6. Let t be b(-3). Suppose -6*y + 20 + 106 = t. What is the remainder when 83 is divided by y?
20
Let o(v) = -8*v**3 - v. Let c be o(1). Let a = 10 + c. What is the remainder when 1 is divided by a?
0
Let h(d) = 2*d**2 + d + 2. Let r be h(-2). Let y = r + 8. What is the remainder when 47 is divided by y?
15
Suppose -4*x = x - 4*z + 28, 14 = -5*x - 3*z. Suppose -y + 3*o = -0*o + 2, -12 = -5*y + 4*o. Let g = y - x. What is the remainder when 15 is divided by g?
7
Let j(i) = -i + 14. What is the remainder when j(-12) is divided by 9?
8
Suppose 3 = 2*i + 1. Calculate the remainder when 3 is divided by i.
0
Let x = -157 + 390. Calculate the remainder when x is divided by 47.
45
Let z(v) be the first derivative of 17*v + 1 + 1/2*v**2. Calculate the remainder when 49 is divided by z(0).
15
Let z(d) = -23*d. Let n(p) = 4*p. Let t(i) = 34*n(i) + 6*z(i). Calculate the remainder when 9/(-3) - (-1 - 31) is divided by t(-5).
9
Suppose -126 = -0*d - 3*d. What is the remainder when d is divided by 0/(-1) + 2*11?
20
Let n = 15 - 18. Calculate the remainder when 9 + (-2 - n)*2 is divided by 4.
3
Let j = -26 - -57. Let d = -22 + 50. Let r = -12 + d. What is the remainder when j is divided by r?
15
Let u(g) = 16*g - 1. Let i(m) = m**2 - 6*m + 2. Let h be i(4). Let s be u(h). What is the remainder when (-2)/8 + s/(-4) is divided by 13?
11
Let g(f) = f. Let u(a) = -24*a + 1. Let h(y) = 6*g(y) + u(y). What is the remainder when h(-2) is divided by 13?
11
Let p(n) = n**3 - 16*n**2 + 18*n - 9. What is the remainder when 107 is divided by p(15)?
35
Suppose 0 = i - 45 + 11. Let o = i + -7. Calculate the remainder when 107 is divided by o.
26
Suppose -3*v = 2*y - 81 + 9, -v - 3*y + 31 = 0. Calculate the remainder when 130 is divided by v.
20
Let b(z) = 6*z - 2. Let t be b(4). What is the remainder when 6/3 + -2 + t is divided by ((-4)/(-3))/(2/18)?
10
Let v(m) = -m**2 + 4*m - 7. Let x(d) = d**2 - 3*d + 6. Let r(b) = 2*v(b) + 3*x(b). What is the remainder when 27 is divided by r(3)?
7
Suppose -15 - 117 = -3*o. Let b = o + -29. What is the remainder when 44 is divided by b?
14
Let y(b) = -8*b - 8. Calculate the remainder when y(-6) is divided by (-174)/(-9) + -5 + (-1)/3.
12
Let g = 8 + -4. Suppose 16 = 2*h - 5*v, v - 2*v + 54 = g*h. Calculate the remainder when 51 is divided by h.
12
Let a(z) = 75*z**2 + z. Let j be a(1). Suppose 2*q - j = -2*q. Calculate the remainder when 37 is divided by q.
18
Suppose -2*h + 3*d = -120, -2*h - 44 = -2*d - 160. Suppose 9 = -3*f + h. Let g = 34 - f. What is the remainder when g is divided by 7?
5
Let b be 30/9*150/4. Suppose 2*m + 3 = 5*d + 18, 5*m = -5*d + b. Suppose 0 = 2*f + 2*y - 16, 0 = -y - 4*y - 15. What is the remainder when m is divided by f?
9
Let m = -90 + 109. Suppose 33 = 2*v + v. What is the remainder when m is divided by v?
8
Suppose 5*q = -j + 4*j + 10, -4*q + j + 15 = 0. Suppose 4*y = 6*s - 9*s + 47, 5*s + 2*y - 83 = 0. Calculate the remainder when s is divided by q.
2
Suppose -1 = -2*z + 7. Calculate the remainder when z is divided by 2.
0
What is the remainder when (-453)/(-4) + 1/(-4) is divided by 29?
26
Let s = -40 - -76. Let c = 77 - s. Let a = c + -28. Calculate the remainder when 25 is divided by a.
12
Suppose -2*y + y + 113 = 0. Suppose 0 = -0*z + 3*z - 5*s - y, 4*s = 5*z - 210. Let w = 28 + -4. What is the remainder when z is divided by w?
22
Let d(w) = -w**3 - 8*w**2 + 7*w + 10. Let n be -18*(3 - 5/2). Suppose 4*v = -v - 5, 0 = 4*h + 4*v - 36. Calculate the remainder when d(n) is divided by h.
8
Suppose -5*k + 25 = 0, 3*v - 68 = -2*k + 50. Suppose 3*d = -d + v. Let h(z) = 2*z - 6. What is the remainder when h(11) is divided by d?
7
Let p(u) = u**2 - 8*u + 9. Calculate the remainder when 56 is divided by p(10).
27
Suppose 9*n - 8*n = 27. What is the remainder when n is divided by 14?
13
Let p = 7 + -7. What is the remainder when 33 is divided by (9 - 0) + p/(-4)?
6
Let x(j) be the third derivative of j**6/120 - 7*j**5/60 + j**4/12 + 7*j**3/6 + 17*j**2. Suppose 4*z = 26 + 2. What is the remainder when x(z) is divided by 11?
10
Let q = -12 - -8. What is the remainder when (0 - -2)/(q/(-50)) is divided by 7?
4
Let r = 132 - 76. Let k(p) = -p**2 + p + 26. Calculate the remainder when k(0) is divided by (r/(-10))/(8/(-20)).
12
Suppose 0*r - 4*r + 12 = 0. Suppose b + 32 = -r*b. Let u = b + 17. What is the remainder when u is divided by 5?
4
Let q = -10 - -14. Suppose 80 = 2*t + 2*t. Suppose 0*o + 5*o - 34 = -4*d, -2*d - o + t = 0. What is the remainder when d is divided by q?
3
Let l(z) = -z**2 - 6*z + 3. Let n be l(-6). Suppose 15*v = 10*v - 30. What is the remainder when 18 is divided by (20/v)/((-1)/n)?
8
Let m = -7 - -6. Let i be 1/m*5*-1. Let r(s) = 2*s**2 - 6*s - 6. What is the remainder when 27 is divided by r(i)?
13
Let m(d) = 3*d + 8. What is the remainder when 126 is divided by m(8)?
30
Let q(i) = -i**2 + 48. Let k be q(0). Suppose 42 = 5*a - k. Let j = 33 - a. Calculate the remainder when 43 is divided by j.
13
Suppose 0 = -2*g - 2*u + 20, 5*g + 20 = -4*u + 70. What is the remainder when 87/(-2)*(-4)/6 is divided by g?
9
Let p be 6/4*2/3. Suppose 0 = 3*v - 8 - p. Calculate the remainder when 8 is divided by v.
2
Let w(r) = -2*r - 3. Let q(k) = -7*k - 12. Let a(i) = 2*q(i) - 9*w(i). What is the remainder when a(8) is divided by 9?
8
Suppose -10*z + 10 = -9*z. What is the remainder when 39 is divided by z?
9
Let s = 8 - 9. Let h(d) = 7*d**2 - 2*d - 1. Suppose -4*l + 9*l - i = 76, -l - 4*i = -11. What is the remainder when l is divided by h(s)?
7
Let p(c) = c + 10. Let a(k) = -3. Let x(y) = -7*a(y) - 2*p(y). Let z be x(2). Let o = z - -9. Calculate the remainder when 9 is divided by o.
3
Let s(k) = k**2 + 5*k - 2. Let r(m) = m**2 - 5*m + 5. What is the remainder when s(-7) is divided by r(5)?
2
Let q(x) = -x**3 + 6*x**2 + 7*x + 5. Let o be q(7). Suppose -2*j - o*s + 51 = 0, -19 = 5*j + 3*s - 99. What is the remainder when j is divided by 4?
1
Let u(d) = -d**2 - 24*d + 30. Calculate the remainder when u(-9) is divided by 56.
53
Let f be (-9)/(-3) - (-4)/2. Suppose 32 = f*b + 12. What is the remainder when 11 is divided by b?
3
Suppose t = -d - 23, -d = -4*d + 4*t - 55. Calculate the remainder when 59 is divided by ((-14)/d)/(4/90).
14
Suppose 32 = -y - 6. Let k = -19 - y. Calculate the remainder when k is divided by 11.
8
Let h(x) = -3 - 2*x - 1 + 0*x - 9*x. What is the remainder when h(-4) is divided by 14?
12
Suppose 2*s = 84 + 14. What is the remainder when s is divided by 26?
23
Let p(o) = -o**3 + 5*o**2 + 2*o - 6. Let m(q) = 2*q**2 - 2*q - 1. What is the remainder when m(-2) is divided by p(5)?
3
Let g(o) = -o. Let x be 1/5 + 3/(-15). Let b be g(x). Suppose -2*j - 3*u + 3 = -2*u, b = 5*j - 3*u - 35. What is the remainder when j is divided by 3?
1
What is the remainder when 3/((-9)/(-93)) - -2 is divided by 18?
15
Let n(d) = 3*d - 3 + 4*d - d + 8*d**2. Let x be n(5). Suppose -4*p = z - x, 5*p - z + 2*z = 285. Calculate the remainder when p is divided by 20.
18
Let m(t) = 2*t**2 - 2*t - 1. Let z be m(2). Calculate the remainder when 5/(15/66) + z is divided by 9.
7
Let y be (1 - -2)/(6/4). Let a(o) = o**2 + 9*o + 10. Calculate the remainder when (-74)/(-4) + y/4 is divided by a(-9).
9
Suppose 4*d - 48 = z, 0 = 3*d - z - 39 + 2. What is the remainder when d is divided by 3?
2
What is the remainder when (-8)/(-4) + (129 - 1) is divided by 33?
31
Let h be 2 - 1 - 122/(-1). Let r = h + -68. Suppose -5*a + 76 = -a. What is the remainder when r is divided by a?
