alculate the remainder when m(-8) is divided by y.
10
Let k be 1/2 - (-3)/2. Suppose r = k*f - 30, -4*f - f - 2*r = -75. What is the remainder when f is divided by 9?
6
Suppose 5*y = -0*y + 35. Suppose -2*f + 1 = -y. What is the remainder when (-12)/f - (-54)/2 is divided by 9?
6
Let j(v) = 10*v**3 + v**2 + 4*v - 3. What is the remainder when j(2) is divided by 23?
20
Suppose -16 - 1 = -q. What is the remainder when -1 - q*(3 + -5) is divided by 9?
6
Suppose -3*g = -3*k + 72, g - 5*k - 4 + 40 = 0. Let m be (-17)/(-4) - (-1)/(-4). What is the remainder when 20 is divided by m/(-14) + (-237)/g?
9
Let i(k) be the third derivative of 5*k**4/24 - k**3/3 + 3*k**2. Calculate the remainder when i(8) is divided by 13.
12
Let o(h) = 21*h. Let y be o(5). Let p = 7 - 2. Suppose -2*r + 3*f = -f - 54, 4*r - p*f - y = 0. What is the remainder when r is divided by 13?
12
Let s be (-2)/(-1)*435/30. Suppose -j + 29 + s = 0. Let p(q) = 4*q**3 - 4*q**2 + 2*q. Calculate the remainder when j is divided by p(2).
18
Let m = -8 + 1. Let u = 17 + m. Calculate the remainder when u is divided by 3.
1
Let p(c) = c**3 - 7*c**2 + 4*c - 9. Let a be p(6). Let w = -11 - a. Suppose 0 = 4*g - 3*g - 6. What is the remainder when w is divided by g?
4
Let y = 32 + -16. Suppose -2*x - y + 50 = 0. What is the remainder when x is divided by 9?
8
Let t be (1 + -2 - -3)*2. Suppose -p = 2 - t. Suppose 0 = -p*n - 16 + 98. What is the remainder when n is divided by 14?
13
Suppose 0 = -5*h, -t + 6 = 2*t + 5*h. Let r(w) = -2*w - 8. Calculate the remainder when r(-5) is divided by t.
0
Let a(f) = -f**2 + 12*f - 2. What is the remainder when a(10) is divided by 11?
7
Let c(v) = 2*v + 6 - 10 + 4*v - 3*v. What is the remainder when c(5) is divided by 3?
2
Suppose 5*i + x - 419 + 99 = 0, -4*x - 150 = -2*i. Suppose i = 4*s - 87. What is the remainder when s is divided by 13?
12
Suppose -27 = 2*c + 3. Let l be 20*c/6*-1. Suppose 2*u - 4*w - 10 = 0, 3*u = -2*u + 5*w + l. Calculate the remainder when 28 is divided by u.
13
Let o = -6 + 22. Calculate the remainder when o is divided by 7 + (-4 - -8)/(-4).
4
Suppose 0 = -4*v + b + 151, -7*v + 3*v + 3*b + 157 = 0. What is the remainder when 330 is divided by v?
34
Suppose 5*t - 55 = -0*t. Let f = -30 + t. Let l = 33 + f. Calculate the remainder when l is divided by 8.
6
Let b be (-1)/(-2)*(-13 - -1). Let y(k) = -k**3 - 5*k**2 + 3*k. Suppose 4*s + 0*s - 5*q = 65, -4*s + q = -45. Calculate the remainder when y(b) is divided by s.
8
Suppose a + 0*a - 10 = 0. Suppose 101 + 118 = -l. What is the remainder when l/(-12) + (-2)/8 is divided by a?
8
Let p = -1 - -7. What is the remainder when 11 is divided by (-56)/(-12) + (-4)/p?
3
Let l = 5 + -3. Let j = l - -1. Suppose -j*o + 58 = -56. What is the remainder when o is divided by 13?
12
Let v(k) = -k**2 + 9*k - 4. Let d be (9/(-4))/(18/(-48)). Suppose r - d - 2 = 0. Calculate the remainder when v(6) is divided by r.
6
Let u = -34 - -39. Calculate the remainder when 9 is divided by u.
4
Suppose 0 = -2*l - d + 32, -l + 3*d = -5 + 3. Calculate the remainder when l is divided by (-2)/(-2)*(0 + 8).
6
Let s = -105 + 113. Calculate the remainder when (-1 - -12)/((-2)/(-4)) is divided by s.
6
Suppose -6*l + 87 = -195. What is the remainder when 91 is divided by l?
44
Suppose -20 = -h - 4. Suppose 0 = -b + 17 + 14. Let f = b - h. What is the remainder when 28 is divided by f?
13
Let r(h) = -4*h - 22. Let k = 3 - 3. Suppose -4*g + 8*g - 212 = k. What is the remainder when g is divided by r(-10)?
17
Let l be (-2 - 7/(-5))*-25. Suppose 75 - l = r. What is the remainder when (r + -1 - -3) + -3 is divided by 15?
14
Suppose f + 3*f = 16. Let j = f - 7. Calculate the remainder when (-2)/j - (-172)/3 is divided by 20.
18
Suppose 3*i - 29 = p, 3*i + 2*p = 20 + 21. Let o = 23 - i. Let h = -21 - -43. Calculate the remainder when h is divided by o.
10
Let d = 11 + -6. Suppose -d*f - a + 43 = a, -a - 1 = 0. Let b = 15 - 0. Calculate the remainder when b is divided by f.
6
Let j = 10 - -7. What is the remainder when 184 is divided by j?
14
Let f = 30 - 18. Calculate the remainder when f is divided by 4 + (12/4 - 0).
5
Calculate the remainder when 37 is divided by 2/8 - (-31)/4.
5
Suppose g - 3*f - 33 = 0, -4*g - 5*f + 57 = -2*f. Calculate the remainder when 70 is divided by g.
16
Suppose 3*k + 14 = 104. What is the remainder when k is divided by 16?
14
Suppose 0 = -w + 7 + 1. Suppose 0 = -h + 5 - 1. Suppose -p = h*p - 70. What is the remainder when p is divided by w?
6
Let r(c) = -c + 1. Let m be r(-6). Suppose -m*l + 2*l = 0. Suppose l = 5*w - 101 + 26. What is the remainder when w is divided by 8?
7
Suppose -b + 63 = -22. What is the remainder when 45 is divided by ((-48)/(-10))/(17/b)?
21
Let u be 4/8 - (-11)/2. Let o(k) = 3*k - 3*k + 3*k - u. What is the remainder when 16 is divided by o(5)?
7
Calculate the remainder when 9 is divided by 2/7 + (-120)/(-21).
3
Let p(u) = -u**2 + 6*u - 2. Let r = 5 + -2. What is the remainder when 20 is divided by p(r)?
6
Suppose 6*w - 132 = 2*w. Let n = 48 - w. What is the remainder when 142/5 + (-4)/10 is divided by n?
13
Suppose 32 = 2*q + 4*f, 0*q + 11 = q + f. Let a = -4 + 18. What is the remainder when (a/q)/((-1)/(-18)) is divided by 15?
12
What is the remainder when 8/(24/9) + 4 is divided by 5?
2
Suppose 0*y + 37 = -y. Let g = y + 53. What is the remainder when g is divided by (-3 + 1)/2*-9?
7
Let h(q) = -2*q**2 - 12*q + 3. Let o be h(-6). Suppose -4*c + 440 = o*a, c + 6*a - 123 = 2*a. What is the remainder when c is divided by 27?
26
Let v = 17 + 34. What is the remainder when v is divided by 18?
15
Let y = 63 + -50. Calculate the remainder when 47 is divided by y.
8
Suppose -2 = v - 17. Suppose 3*f - 4*y - v = -3*y, 0 = f + 2*y - 12. Calculate the remainder when 10 is divided by f.
4
Suppose 60 = 3*h - 300. Suppose v = 6*v - h. What is the remainder when v is divided by 13?
11
Let u(n) = n - 5. Let h be u(18). Let v = -4 + h. What is the remainder when 25 is divided by v?
7
Suppose -k - 4 = -8. Suppose 0 = -5*c + 4*d + 38, c - d - 10 = d. What is the remainder when c is divided by (-1)/(2/k) - -6?
2
Suppose 57 = 3*n - 2*n. Calculate the remainder when n is divided by 15.
12
Let n = -63 + 37. Let q = n - -36. Calculate the remainder when q is divided by 6.
4
Suppose -x = -4*r + 63, -5*r - 3*x + 100 = -0*x. What is the remainder when r is divided by 5?
2
Suppose 60 = 4*f - 20. Let s = -33 - -90. Calculate the remainder when s is divided by f.
17
Suppose s = 3*d + 6, -4*s + d - 5*d = -8. Calculate the remainder when 30 is divided by s.
0
Let m(x) be the second derivative of 22*x**3/3 - 2*x. Calculate the remainder when m(1) is divided by 23.
21
Let g(p) = -2*p + 5. Let w(r) = 4*r - 10. Let j(h) = -11*g(h) - 6*w(h). What is the remainder when j(-5) is divided by 4?
3
Let k be -6*(3 + (-1 - 1)). What is the remainder when k/27 + (-65)/(-9) is divided by 2?
1
Let u be -3 + (-4)/(3 + -1). Let y(w) = -2*w - 2. Suppose 0 = 2*d + 13 - 59. What is the remainder when d is divided by y(u)?
7
Let g(j) = j**3 - 6*j**2 + 6*j - 1. Let a be g(5). Suppose -16 = -a*m - 0*m. Suppose 71 - 5 = 6*t. What is the remainder when t is divided by m?
3
Suppose -4*m + 44 = -24. Suppose -174 = -5*k + 2*h, 2*k + 5*h + m = 104. Let p(j) = j**2 - 2*j + 4. What is the remainder when k is divided by p(-3)?
17
Suppose 37 = -5*t + 5*o - 38, 0 = 5*t + 2*o + 75. Let v = -24 - t. Calculate the remainder when ((-6)/(-4))/(v/(-24)) is divided by 3.
1
Let t = 15 - 10. Let n(w) = -3*w - 11. What is the remainder when n(-10) is divided by t?
4
Let c(f) = f**3 + 21*f**2 + 20*f + 6. What is the remainder when 11 is divided by c(-20)?
5
Suppose 0 = 2*v + 6, -2*v - 18 = 3*p + v. Suppose 9 + 2 = c. What is the remainder when p - (2 + 1 + -47) is divided by c?
8
Let f be (-12)/(-16) - 11/4. Calculate the remainder when 13 is divided by -2 + (-1 - f) - -8.
6
Let o be (0 - 1)/(3/(-66)). Suppose 5*q + 2*r - 20 = 0, 0 = q + q - 2*r - o. What is the remainder when 17/4*(0 + 4) is divided by q?
5
Let b(m) = m**3 - 5*m**2 + m + 4. Suppose -8 + 24 = 4*f. Calculate the remainder when b(5) is divided by f.
1
Suppose -2*o - 4*d + 216 = 2*o, 0 = 3*o + d - 168. What is the remainder when o is divided by 12?
9
Let w be 3/(9/6) + 1. Let d(r) = r. Let