- 3. Let s(l) = l**3 + 7*l**2 + 3*l. Let f be s(-7). What is the remainder when m(-2) is divided by (-7)/(f/(-6)) + 16?
13
Let g(s) = -8*s + 5. Suppose 116 = 5*l + 2*i + 32, -5*l = -i - 93. Calculate the remainder when g(-8) is divided by l.
15
Let t(f) = f + 26. Let j(n) = -2*n**3 - 7*n**2 - 8*n - 1. What is the remainder when t(0) is divided by j(-3)?
12
Suppose -8*c - 5*v = -3*c - 90, -5*c + 2*v + 76 = 0. Let z = 30 - c. What is the remainder when 54 is divided by z?
12
Let p(g) = 1. Let j(u) = -14*u**2 + 10. Let b(q) = -2*j(q) + 20*p(q). Calculate the remainder when b(1) is divided by 15.
13
Let c = -66 + 78. What is the remainder when 33 is divided by c?
9
Suppose -55 = -2*o + 5*d, -7*d = -3*o - 12*d + 20. Let w = -13 + 30. Let h = w + -9. Calculate the remainder when o is divided by h.
7
Let z(n) = -n**2 + 10*n + 70. Calculate the remainder when 90 is divided by z(12).
44
Suppose 0 = -2*o - 3*o + 25. Let l(z) be the first derivative of z**4/4 - 2*z**3 + 7*z**2/2 - 7*z - 2. What is the remainder when 5 is divided by l(o)?
2
Suppose 2*i = 4*p + 34, -i + 56 = 2*i - p. What is the remainder when 35 is divided by i?
16
Suppose -9*u + 216 = -9. Let a(w) be the first derivative of -3*w**4/4 - 4*w**3/3 - w**2/2 + 2. What is the remainder when a(-3) is divided by u?
23
Let h(s) = -s**3 + 3*s**2 + s - 1. Let v = 27 - 29. Calculate the remainder when h(v) is divided by 7.
3
Let h(y) = y**2 - 5*y + 1. Let x = 4 + 0. Calculate the remainder when h(6) is divided by x.
3
Suppose 4*u = 5*k + 28, 40 = 4*u - 0*k - 2*k. Let g = u + 7. What is the remainder when g is divided by 10?
9
Let c(q) = -q**2 - q + 4. Calculate the remainder when 14 is divided by c(0).
2
Suppose 0 = 4*o - 3*o - 16. Suppose -n - h + 1 = 0, -n + 2*h + 4 + 9 = 0. Let v = 1 + n. Calculate the remainder when o is divided by v.
4
Let g(k) = k**3 - 3*k**2 - k + 2. Calculate the remainder when g(5) is divided by 12.
11
Let y = -5 - -7. Let f = -3 + 5. Calculate the remainder when f is divided by y.
0
Suppose 0 = w - 3*w. Suppose -h + 36 = -w*h. What is the remainder when h is divided by 19?
17
Suppose -b + 4 = 1. Suppose -2*o - b*o = -i - 61, -5*i - 386 = 2*o. Let s = -42 - i. What is the remainder when s is divided by 12?
10
Let v(o) = -o**3 - 12*o**2 - 11*o + 15. What is the remainder when 72 is divided by v(-11)?
12
Suppose 9*u - 36 = 6*u. Calculate the remainder when (-1)/(-2)*-2 - -36 is divided by u.
11
Let j(b) = -b**3 + 6*b**2 - b - 6. Let r = 4 + -2. Let m = 25 + r. What is the remainder when m is divided by j(5)?
13
Let s = 33 + -21. Let p = 6 + -3. Suppose 2*o - 1 = 3*b - 8, 0 = -3*b - p*o + 27. Calculate the remainder when s is divided by b.
2
Let o(y) = -6*y - 3 + 6*y + 5 + 42*y. Let a be o(2). Let u = a - 31. What is the remainder when u is divided by 19?
17
Suppose -6 = 4*r - 330. Calculate the remainder when r is divided by 14.
11
Let p(n) = -31*n**3 + 2*n**2 + 2*n + 1. What is the remainder when 92 is divided by p(-1)?
28
Let p(t) = t**3 - 16*t**2 - 17*t + 30. What is the remainder when 88 is divided by p(17)?
28
Let x(j) = -j**2 + 5*j + 5. Let y be (-4 + 2)/(-1) - -3. Suppose -y*m + 5*w = -100, -2*w + 17 + 87 = 4*m. Calculate the remainder when m is divided by x(4).
6
Suppose 0*b - 5*u = -3*b + 44, -u = -2*b + 41. What is the remainder when b is divided by 5?
3
Let y be (-162)/(-4) - 3/(-6). Suppose 0*c - 195 = -3*c. Let b = c - y. Calculate the remainder when b is divided by 13.
11
Let f = -3 - -9. Suppose -12 = -3*r - 0*r. What is the remainder when ((-68)/8)/((-2)/r) is divided by f?
5
Suppose 25 = 4*l - 75. Calculate the remainder when ((-2)/(-4))/((-2)/(-92)) is divided by (60/l)/((-2)/(-10)).
11
Calculate the remainder when 62 is divided by (-14 - -1)/(3/(7 - 10)).
10
Suppose 0 = -5*x - 1 + 151. Let y(w) = -w**3 + 4*w**2 + 3*w + 7. Let k be y(5). What is the remainder when x is divided by -4 - -2 - 6*k?
14
Suppose -3*z + 5 = c, -5*c + 2*z + 6 = -2. Suppose 5*i + w = 15, -c*w - 8 = -3*i + 14. What is the remainder when (-1)/i - 534/(-24) is divided by 8?
6
What is the remainder when 55 is divided by (-21)/14*(-39)/9*4?
3
Let t be (0 + 0 + 11)*1. Let r = -11 + 6. Let c = t + r. What is the remainder when 17 is divided by c?
5
Suppose -118 = 2*r - 4*r. What is the remainder when r is divided by 31?
28
Suppose -20 = -4*r + 20. Let z(q) = 8*q**2 - q - 2. Suppose -5*h + 7*n = 3*n + 10, -2*h + 29 = 5*n. What is the remainder when z(h) is divided by r?
8
Suppose -990 = -5*n + 5*l + 1220, -3*l + 3 = 0. Suppose a = -4*b + 368, -7*b = -2*b - 3*a - n. What is the remainder when b is divided by 23?
22
What is the remainder when (-768)/(-28) + 4/(84/(-9)) is divided by 10?
7
Let d(y) = 10*y**2 - 3*y + 6. What is the remainder when d(3) is divided by 30?
27
Suppose 10*m + 136 = 14*m. What is the remainder when m is divided by 6?
4
Suppose -n - 4*y - 7 = -0*n, 0 = 3*n - 3*y - 24. Let g = 15 - n. What is the remainder when 18 - -1 - (-2)/(-2) is divided by g?
8
Let b = 64 + -32. Suppose 0 = -g - 3*g + 5*m + 19, 3*m + 21 = 4*g. Let s = 5 + g. Calculate the remainder when b is divided by s.
10
Let g = -16 + 10. Let s(z) = 2*z**2 + 8*z - 3. Calculate the remainder when 81 is divided by s(g).
18
Suppose 2*v = v + 9. Suppose -v = -4*f + 3*w + 14, 5*f - 27 = 2*w. Suppose -f*g = -3*g + 2*x - 16, -x - 10 = -5*g. What is the remainder when 5 is divided by g?
2
Let k = 29 + -21. What is the remainder when 22 is divided by k?
6
Suppose -4*v + 4 = 3*l, 2*v + 3*v = -10. Let u(t) = 2*t**3 - 3*t**2 + 2*t - 2. Calculate the remainder when u(2) is divided by l.
2
Let o = -87 + 165. Calculate the remainder when o is divided by 21.
15
Let h(o) = o**2 - 3*o - 9. Calculate the remainder when 91 is divided by h(-5).
29
Let b = 10 + -5. Calculate the remainder when 9 is divided by b.
4
Let j(b) = -b**3 - 4*b**2 - 3*b + 2. What is the remainder when (5*5)/(3/3) is divided by j(-4)?
11
Suppose 0 = 5*v + 46 - 311. Let u = v + -38. Calculate the remainder when 27 is divided by u.
12
Let l = 3 + 5. Let c(z) = 3*z - 18. What is the remainder when 10 is divided by c(l)?
4
Suppose 4*l + 0*l - 22 = -j, -2*j = 3*l - 14. Let t(q) = 2*q + 17. Calculate the remainder when t(0) is divided by l.
5
Let a be ((-38)/(-4))/((-2)/4). Let l = -13 - a. Let u = 117 + -101. Calculate the remainder when u is divided by l.
4
Let c(l) = 3*l**2 - 4*l**2 + 3*l**2 + 6*l. Let f(x) = x**3 + 7*x**2 + 7. Calculate the remainder when c(-5) is divided by f(-7).
6
Suppose -3*u + 0*p - 4*p = -79, 4*p = 3*u - 47. Let o = 34 - u. Let c = 46 - o. Calculate the remainder when c is divided by 17.
16
Let k(i) = -2*i**3 - 3*i**2 - i. Let z(n) = n**2 - 5*n - 4. Let u be z(6). Let m = u - 4. What is the remainder when 11 is divided by k(m)?
5
Suppose 0 = 5*i - 159 - 46. Suppose 5*a + 0*q = -3*q - i, -3*a - 3*q = 27. Let n(r) = -r + 7. What is the remainder when 27 is divided by n(a)?
13
What is the remainder when 126/15 + 6/(-15) is divided by 6?
2
Let k(n) = -n**2 - 8*n - 4. Let c(l) = 7*l + 1. Let a be c(-1). Calculate the remainder when k(a) is divided by (-9)/(-3)*3/3.
2
Let f = -61 + 86. Calculate the remainder when f is divided by 9.
7
Let v(h) = 11*h - 11. What is the remainder when v(5) is divided by 15?
14
Suppose b = -n + 4, 4*n + n - 40 = 5*b. Suppose -4*u = -3*i + 19, n*u = 3*i + u - 20. Calculate the remainder when 12 is divided by i.
2
Suppose -r - a = -3, 0 = -r - a + 4*a - 9. Suppose r*k = -k + 61. What is the remainder when k is divided by 21?
19
Calculate the remainder when ((-274)/4)/(6/(-12)) + 0 is divided by 46.
45
Suppose 0 = 4*g + 3*j - 26 - 14, 0 = 3*g - 4*j - 5. Suppose 5*l - 2*l - 15 = 0. Calculate the remainder when g is divided by l.
2
Suppose 5*n - 2*n = -6, -4*g - 2*n + 308 = 0. Calculate the remainder when g is divided by 40.
38
Let o(h) = h**3 + 7*h**2 - h - 6. What is the remainder when o(-7) is divided by 1?
0
Let d = -7 - -28. Calculate the remainder when 60 is divided by d.
18
Let y(w) = 7*w - 1. Let l be y(-2). Let g = 29 + l. What is the remainder when 27 is divided by g?
13
Let v be (9/2 + -2)*-2. What is the remainder when 37 is divided by (1 - 0)/(v/(-65))?
11
Let a be 1 + -1*2 - 1. Let i be (-5 - a) + 0 + 2. Calculate the remainder when 26 is divided by 39/(-6)*-2 - i.
12
Let q(a) = 4*a**3 + 2*a**2 - a. L