3
Let m = -4 + 9. Suppose k - 2*q + 6 = 0, 0 = m*k - 2*q - 2. Suppose -3*r - 32 = -k*v - 7*r, -2*v - 5*r = -33. Calculate the remainder when 54 is divided by v.
12
Let r(h) = -2*h - 6. Let w be r(-6). Suppose 2 = 4*v - 3*v. Suppose -w - 18 = -v*b. What is the remainder when 23 is divided by b?
11
Let i be (0 - -2) + 2 + -2. Calculate the remainder when (-88)/(-6) - 1/(-3) is divided by (-2)/(i*1/(-8)).
7
Let w be 0/(-2 - -1) + 79. Let a be 2/(-10) - w/5. Let t = 28 + a. What is the remainder when 34 is divided by t?
10
Suppose 39 = 2*h - 4*c - 33, -h - 2*c = -16. What is the remainder when h is divided by (-44)/(-3) + 8/(-12)?
12
Let g = -26 + 48. Let t = 101 - 58. Calculate the remainder when t is divided by g.
21
Let n(u) = u**3 + 2*u**2 - 4*u - 3. Let h be n(-2). Suppose 3*s - 5*s = -30. Suppose i - h = s. What is the remainder when i is divided by 7?
6
Let s(a) = 20*a**3 - 2*a + 1. What is the remainder when s(1) is divided by 11?
8
Suppose 0 = 5*c + 3*w, -3*w = w. Suppose 2*v + v - 150 = c. What is the remainder when v is divided by 13?
11
Let n be (-1 + 0)*(-1 + 8). Let a be (-201)/(-2) - 3/6. What is the remainder when 4/(-14) - a/n is divided by 8?
6
Suppose -2*m = 9 + 15. What is the remainder when (-3)/(28/m - -2) is divided by 5?
4
Suppose 5*b = 5*i + 35, 2*i + b + 4*b = 0. Let y = i + 9. Suppose -5*s - y*x + 9*x = -65, -s + 3*x + 21 = 0. What is the remainder when s is divided by 5?
4
Let h = 11 - 8. Suppose -f - 3*f - 203 = g, 431 = -2*g - h*f. What is the remainder when g/(-9) + (-4)/(-18) is divided by 13?
12
Let g = -8 + 12. Suppose p = -p - 4*l + 6, -p + 3*l + 3 = 0. What is the remainder when g is divided by p?
1
Suppose 7*i = 3*i + 284. Suppose -37 = -4*c + i. Suppose 69 + 1 = 5*w. What is the remainder when c is divided by w?
13
Suppose -3*q + 50 = -73. What is the remainder when q is divided by (-20)/(-70) - ((-304)/14 - 0)?
19
Let n = 0 - -1. Let x(s) = 4*s**2 - 3*s + 2. Let h be x(1). Suppose 2*u - 5*t = n, t - 13 = -h*u - 3*t. Calculate the remainder when 4 is divided by u.
1
Suppose 2*n + f + 34 = 4*n, -n - 3*f = -24. Calculate the remainder when 33 is divided by n.
15
Suppose -2*i - 4*q + 23 = -3*q, -5*q = 5*i - 65. Let t = -13 - -9. Calculate the remainder when t/(-2)*38/4 is divided by i.
9
Let k(v) = 10*v + 2. Let y be k(2). Suppose 27 + y = w. Calculate the remainder when w is divided by 17.
15
Let p(b) = 13*b - 26. What is the remainder when p(9) is divided by 23?
22
Let i(v) = v**3 - 4*v**2 - 17*v + 1. What is the remainder when i(7) is divided by 6?
5
Let b = -13 - -14. Suppose f - b = 0, -5*f - 28 = -2*i - 3*f. What is the remainder when 43 is divided by i?
13
Let n = 14 - 12. What is the remainder when 4 is divided by n?
0
Let z be -3 - (0 + -2 + -6). Suppose -36 = p - z*p. What is the remainder when 16 is divided by p?
7
Suppose -33 - 297 = 5*p. Let r = p - -31. What is the remainder when (-1095)/r - (-2)/(-7) is divided by 11?
9
Let h = -13 - -18. Suppose 5*b = h*v - 4 - 81, -4*b = -3*v + 55. Calculate the remainder when v is divided by 7.
6
Calculate the remainder when 2/(-3)*348/(-8) is divided by 16.
13
Let y(s) = s**3 - s**2 + s + 21. Calculate the remainder when 82 is divided by y(0).
19
Let p(d) be the second derivative of -5*d**3/6 - d**2/2 - d. What is the remainder when 13 is divided by p(-1)?
1
Let s(t) = -t**3 + 8*t**2 + 10*t - 6. Let k be s(9). Calculate the remainder when 19 is divided by 7/(7/8) + k.
8
Let l(r) be the second derivative of 4*r**3/3 - 5*r**2/2 + 2*r. Let i be l(-5). Let b = 88 + i. What is the remainder when b is divided by 15?
13
Let f(v) = 22*v**2. Calculate the remainder when 41 is divided by f(-1).
19
Suppose -11*p + 5*p = -66. What is the remainder when 21 is divided by p?
10
Suppose r - 2*r = -x - 47, 2*x + 5*r = -108. Calculate the remainder when x/(-3) + 4/6 is divided by 5.
2
Suppose y - 2*y - 5*r + 192 = 0, 2*y - 410 = 3*r. What is the remainder when y is divided by 51?
49
Let p = -57 + 91. Suppose -3*j - 302 = -356. Calculate the remainder when p is divided by j.
16
Suppose 0 = 3*c - 5*m - 1 - 7, -2*c + 2*m = -8. Calculate the remainder when 11 is divided by c.
5
Let s(l) = l**2 - 4*l - 8. What is the remainder when 70 is divided by s(8)?
22
Let o = 16 - 10. Suppose -o*y + 10*y = 20. Calculate the remainder when 8 is divided by y.
3
Let f(v) = v**2 + 7*v - 3. What is the remainder when f(-10) is divided by 10?
7
Suppose p = 5, 6*t = 7*t + 5*p - 55. Calculate the remainder when t is divided by -2 - -1 - (-11 - -2).
6
Suppose -4*h = -h. What is the remainder when 4 - (-4 + -1 + h) is divided by 2?
1
Let g = 12 - 3. What is the remainder when 26 is divided by g?
8
Suppose -2*l - 3*z = -4 - 0, -4*z = -2*l - 24. Let p = -1 + 16. Calculate the remainder when 8/5*(-110)/l is divided by p.
14
Suppose l = -0*l + 51. What is the remainder when l is divided by 13?
12
Suppose -3*y + 2*y + 4 = 0, 3*c - y - 77 = 0. What is the remainder when 49 is divided by c?
22
Suppose d + 0*u + 2 = -3*u, d - 5*u - 38 = 0. Calculate the remainder when 50 is divided by d.
11
Let w(n) = 11*n**2 + 5*n + 13. Calculate the remainder when w(-3) is divided by 25.
22
Suppose -5*d + 15 = v, -37 = -5*d + 3*v - 2. What is the remainder when 8 is divided by 34/10 - d/10?
2
Calculate the remainder when ((-72)/14)/((-6)/28) is divided by 9.
6
Let l(v) = v**2 - 5*v - 2. Let r be l(-4). Suppose 2*m - 4*m = -r. Suppose -w = 2*w - 18. What is the remainder when m is divided by w?
5
Suppose 0 = -4*k - k + 4*p - 301, 265 = -5*k - 5*p. Suppose -2 = 3*c - c. What is the remainder when k/(-4) - c/(-4) is divided by 8?
6
Suppose 0 = -m - 3*f + 17, -4*m + 88 = -0*f + 2*f. Let u = -43 - -86. What is the remainder when u is divided by m?
20
Calculate the remainder when (0 + 4)*157*(-4)/(-16) is divided by 53.
51
Suppose -11*u - 7 + 161 = 0. Calculate the remainder when 67 is divided by u.
11
Let d be (-23)/(-7) + (-8)/28. Let n = d - 1. Suppose n*i - 6 = -2. Calculate the remainder when 3 is divided by i.
1
Suppose 168 - 54 = 3*s. Calculate the remainder when s is divided by 8.
6
Suppose i - 8 = -5. Suppose 0 = -0*l + i*l - 33. What is the remainder when l is divided by 7?
4
Let f(k) = 4*k**2 + k. Let y be f(1). Suppose -2*p = -y*d + 90, 5*d - p = -3*p + 110. Let b = 31 - d. Calculate the remainder when 31 is divided by b.
9
Suppose -4*g = -3*g - 9. Let d(b) = 14*b - 4. Let w be d(-3). Let f = 81 + w. Calculate the remainder when f is divided by g.
8
Suppose -6 = -w + 3*w - 5*q, q + 10 = 2*w. Suppose -w = -2*d + 11. What is the remainder when (1 + 0)*1 - -24 is divided by d?
7
Suppose -3*f + f - 2*d = -48, 0 = 3*f - 3*d - 90. Calculate the remainder when f is divided by ((-42)/(-9))/(2/6).
13
Let v(j) = -2*j - 3. Calculate the remainder when 66 is divided by v(-10).
15
Suppose -5*p = -4*o - 86, -p + 3*o = p - 33. What is the remainder when 70 is divided by p?
16
Let z(t) = -15*t + 1. Suppose -5*n - 3*w + 130 = -40, 0 = -5*n + 3*w + 140. What is the remainder when n is divided by z(-1)?
15
Suppose -98*y = -103*y + 385. Calculate the remainder when y is divided by (-36)/15*20/(-3).
13
Let x(k) be the second derivative of k**4/6 + k**3/2 - k**2 + 2*k. Let u = -5 + 22. What is the remainder when x(-5) is divided by u?
16
Let d(l) be the first derivative of l**4/4 + 3*l**3 - 7*l**2/2 - 6*l + 2. Let o = 6 + -15. What is the remainder when d(o) is divided by 15?
12
Suppose -4*i = -i - 4*z - 47, 0 = -z - 2. Suppose 6*w - 8 = 2*w. Let j(g) = 11*g + 2. What is the remainder when j(w) is divided by i?
11
Suppose 0*q - 2*q + 6 = 0. Suppose -q*k - 163 = 368. What is the remainder when k/2*(-8)/12 is divided by 20?
19
Let b(t) = 2*t**3 - 2*t**2. Suppose 4*n - 6*n = 0. What is the remainder when b(2) is divided by (n/(-2) - 1)*-3?
2
Let o be -1*(-26)/(3 - 2). Suppose -2*u + 4 = -o. Let w = u - -12. Calculate the remainder when w is divided by 7.
6
Let f(v) = -v**3 - v**2 - v - 2. Let t be f(-4). Suppose 3*n + 14 - t = 0. Calculate the remainder when 21 is divided by n.
9
Let g(t) = -6*t - 4. Let c(r) = 11*r + 9. Let w(p) = -3*c(p) - 5*g(p). Calculate the remainder when w(-8) is divided by 6.
5
Let v(f) = f**2 - 20*f - 8. Calculate the remainder when 103 is divided by v(21).
12
Suppose -5*j - 2*v + 85 = 3*v, 0 = 4*j - v - 43. Suppos