) = r**3 - 4*r**2 + 5*r - 4. Let s be 44/(-10) - 4/(-10). Let k = -2 - s. What is the remainder when k is divided by i(3)?
0
Suppose -4*b - 36 = -5*b. Calculate the remainder when 69 is divided by b.
33
Let s(p) = p**3 + 5*p**2 + p + 1. What is the remainder when (-2)/5 - (-127)/5 is divided by s(-4)?
12
Suppose 177 = -t + 4*t. Suppose j - t = -2*r, -2*j + 2*r - 43 = -137. What is the remainder when j is divided by 13?
12
Let b(j) = 15*j**2 + 1 - 4 + 3 - j. What is the remainder when 61 is divided by b(-1)?
13
Suppose 4*n - 626 = 2*l, 5*n - 7*l + 3*l = 775. Calculate the remainder when n is divided by 54.
51
Let h(i) = 7*i - 24. What is the remainder when h(7) is divided by 9?
7
Suppose 0 = -4*b + 5*x + 31, -2*x - 9 = -3*b - 3*x. Suppose 0 = 8*d - b*d. Suppose -6*r + r + 135 = d. Calculate the remainder when r is divided by 7.
6
Let f(t) = t + 7. Let n(x) = 3*x**3 - x**2 + 1. Let l be n(-1). What is the remainder when (-99)/72*(-4)/(-2)*-4 is divided by f(l)?
3
Suppose 474 = -0*t + 3*t. Let z = -85 + t. What is the remainder when z is divided by 19?
16
Let f(x) = -x**3 + 17*x**2 - 18*x + 52. Calculate the remainder when f(16) is divided by 5.
0
Suppose 2*o = -5*t + 7, 4*t - t - 8 = -5*o. Let h = -4 + o. Calculate the remainder when 9 is divided by (-13)/h - (-2)/3.
4
Let r = -3 - -3. Let y(g) be the second derivative of g**5/20 + 16*g**2 + 2*g. What is the remainder when y(r) is divided by 11?
10
Let y(h) = -h**3 + 5*h**2 + 2*h - 5. What is the remainder when y(5) is divided by 3?
2
Let i = 7 + 9. What is the remainder when 63 is divided by i?
15
Let y = -101 - -124. Calculate the remainder when 86 is divided by y.
17
Suppose 5*c = -10, -t = 2*c + 1 - 3. Let g = 20 - t. What is the remainder when 27 is divided by g?
13
Suppose 4*v = 3*v + 5. Suppose 0 = -v*w + 16 + 44. Calculate the remainder when 45 is divided by w.
9
Let o be 5 - (0 + 4)/(-1). Suppose 0 = -o*u + 4*u + 10. Calculate the remainder when u is divided by 1.
0
Let w = -2 - 1. Calculate the remainder when 62 is divided by (-2 - (-1 + w))*8.
14
Let x be 44/10 - (-8)/(-20). Suppose 4*p - 2*b - 166 = 0, 3*p + 77 = 5*p + b. Suppose -z = x*z - p. Calculate the remainder when z is divided by 5.
3
Suppose -5*f = -f. Suppose -t + f*t + 3 = 0. What is the remainder when (-1)/(-5) - (-342)/90 is divided by t?
1
Let g(h) = -h**2 - 16*h - 18. What is the remainder when 139 is divided by g(-14)?
9
Let s(g) = -g**2 - 8*g + 10. Suppose -4*t = 6*i - 2*i + 8, -t = 3. What is the remainder when s(-9) is divided by i?
0
Let q(c) be the second derivative of -c**3/6 + 9*c**2/2 + c. What is the remainder when (0 - -2) + -2 + 16 is divided by q(0)?
7
Let n(o) be the second derivative of 7*o**4/12 - o**2 - 3*o. Calculate the remainder when n(-2) is divided by 14.
12
Suppose 2*c - 4*t + 2 = -5*t, 0 = -3*c - 3*t - 9. Let u = -14 + 16. Let y = u + c. Calculate the remainder when y is divided by 2.
1
Let b(q) = 13*q - 15. What is the remainder when b(6) is divided by 22?
19
Let a = -46 + 75. Let r(b) = 4*b**2 + 0*b**2 - 8*b + 3 - 5*b**2. What is the remainder when a is divided by r(-6)?
14
Let a(y) = -3*y - 10. Suppose -2*p - 81 = -2*l - 5, -3 = -p. What is the remainder when l is divided by a(-7)?
8
Suppose 0 = -2*j + 3*n + 14, 0 = -5*n + 7 - 17. Let x = -6 + j. Calculate the remainder when 35/2 - (-1)/x is divided by 9.
8
Suppose 6*r + 3*m - 85 = 5*r, -16 = 4*m. What is the remainder when r is divided by 25?
22
Let b(r) = -r**3 + 6*r**2 - 5*r + 3. Suppose 0 = -2*q + 10 + 6. What is the remainder when q is divided by b(5)?
2
Let f = 1 + 3. Suppose 3 = 2*y + 1. Calculate the remainder when (2/f)/((-3)/(-6)) is divided by y.
0
Let l(w) = 6*w**2 + 2*w + 1. Let d(b) = 12*b**2 + 5*b + 1. Let n(g) = -2*d(g) + 5*l(g). What is the remainder when n(3) is divided by 20?
17
Suppose -6 = -5*g + 3*g. Suppose 2*j - 177 = -5*z, -67 = -2*z - 0*z + g*j. Suppose 36 = 4*y - y. What is the remainder when z is divided by y?
11
Let k(n) = n - 1. Let w be k(-2). Suppose -3*a + 39 = -2*a + 3*z, 0 = -4*a + z + 104. What is the remainder when a is divided by w/(-12) + 78/8?
7
Let k(s) = -56 + 51 + 7*s - 3*s. Let z = 18 + -11. Calculate the remainder when k(z) is divided by 12.
11
Let s(d) = d + 4. Let x be s(-5). Let y be (x + -2)/((-3)/(-2)). What is the remainder when 35 is divided by (-2)/y + (12 - 1)?
11
Let f(x) = x**3 - 8*x**2 - x - 12. Let p be f(9). Suppose 0 = -y - 4, 3*r - 27 = 3*y + p. What is the remainder when r is divided by 14?
11
Calculate the remainder when (-1 - -2)/((-9)/18) + 5 is divided by 3.
0
Let l = 226 - 146. Let h = l - 55. Let t(b) = b**2 + 3*b - 1. What is the remainder when h is divided by t(2)?
7
Let m(v) be the second derivative of 17/20*v**5 - 1/2*v**2 - 1/6*v**4 + 1/3*v**3 - v + 0. Calculate the remainder when m(1) is divided by 6.
4
Let l = 0 - -13. Let v be (-4)/10 - (-34)/10. Suppose -5*o = v*t - 14 - 78, 0 = 5*t + 3*o - 132. What is the remainder when t is divided by l?
11
Suppose -4*f + 0*f = 2*i, -i + 4*f = -12. Let b(x) = 6*x - 1. Let k be b(-1). What is the remainder when -4*k/2 - 3 is divided by i?
3
Suppose -5*h + 243 = -67. Let o = -32 - -53. What is the remainder when h is divided by o?
20
Calculate the remainder when 1 + 7 + (2 - 4) is divided by (37 - 35)/(1/2).
2
What is the remainder when 52 is divided by 21*(30/(-35))/(-1)?
16
Let j(i) = 2*i**2 - 8*i + 6. Calculate the remainder when 44 is divided by j(5).
12
Let v(c) = -4*c + 1. Calculate the remainder when -50*(-2 - (-9)/6) is divided by v(-3).
12
Suppose 0 = -4*i + 65 + 55. Calculate the remainder when 58 is divided by i.
28
Suppose 0 = 6*m - 2*m + 212. Let p = m + 102. Calculate the remainder when p is divided by 13.
10
Suppose 0 = 4*s + 2*q - 58, 0*q = 4*s + 3*q - 59. Suppose -4*m + 101 = -7. What is the remainder when m is divided by s?
13
Let z = 5 - 3. Let d be 0 - (2 + 0) - z. What is the remainder when 16 is divided by d/(-2) + (2 - -5)?
7
Let r(y) = y**3 - y**2 - 3*y + 4. Let x(p) = -p**3 - 3*p**2 + p - 7. Calculate the remainder when x(-5) is divided by r(3).
12
Let b = 16 + -10. Let z = 31 - b. Suppose -x = 4*x - 65. Calculate the remainder when z is divided by x.
12
Suppose -d = -2*o + 7, 3*d - 4 - 3 = -o. Suppose y = o*y - 51. What is the remainder when 32 is divided by y?
15
Let d be (-8)/6*-3*1. Suppose -5*j = -m - 159, -d*j + j - 2*m = -98. Suppose z + j = 2*z. What is the remainder when z is divided by 11?
10
Let r(p) = p**2 + 10*p + 19. Let q(s) = s - 1. Let z(i) = -5*q(i) - r(i). What is the remainder when 63 is divided by z(-12)?
19
Suppose -f + 3*f = 62. What is the remainder when f is divided by 8?
7
Suppose 3*m - 38 = m. Let k = 6 + 6. Suppose -2*w + k = -8. What is the remainder when m is divided by w?
9
Suppose 6*z = 5*z + 8. Calculate the remainder when 39 is divided by z.
7
Suppose 4*x - 16 = -f, -f = -5*f + x + 47. Let z = -4 - -39. Calculate the remainder when z is divided by f.
11
Suppose -29 - 25 = -3*u. Suppose -u + 2 = -q. What is the remainder when q is divided by 9?
7
Let x(v) = v + 9. Let d be x(-7). Let w(o) = 5*o**2 - 3*o + 3. Let b(r) = -r**2 - 9*r - 2. Calculate the remainder when w(d) is divided by b(-8).
5
Suppose -2*w = 2*p - 34, 1 = -w + 5. What is the remainder when 34 is divided by p?
8
Let s = 20 + 35. Calculate the remainder when s is divided by 15.
10
Let f(r) = -r**2 - 8*r + 9. Calculate the remainder when f(-8) is divided by 4.
1
Suppose 0 = 67*g - 66*g - 16. Let l(d) = -20*d**3 - 4*d**2 - 4*d - 2. Let c be l(-2). Suppose 0 = -o - 4*o + c. What is the remainder when o is divided by g?
14
Let c = -7 - -11. Calculate the remainder when (6/c)/(6/224) is divided by 19.
18
What is the remainder when 39 is divided by 3/(-12) + (-170)/(-8)?
18
Suppose 2*h = h. Suppose 3*f - 210 = -3*z, -4*z + h*f = 2*f - 272. Calculate the remainder when z is divided by 17.
15
Suppose 2*m + l = -l + 78, -2*m + 54 = -4*l. Let k = m + -27. Let g = 75 + -52. What is the remainder when g is divided by k?
7
Let g = 37 - 22. Suppose 2*y = 19 + 69. What is the remainder when y is divided by g?
14
Suppose 0*l = -l + 1. Suppose -9 = -p - l. Calculate the remainder when 15 is divided by p.
7
Let k(y) = 7*y - 2. Suppose 2 - 12 = -5*x. What is the remainder when 33 + -1 + 1 + 1 is divided by k(x)?
10
Let z(r) = 