the remainder when p is divided by f.
34
Let n(y) be the third derivative of -y**6/6 - y**5/20 - y**4/24 + y**3/6 + 39*y**2. What is the remainder when n(-1) is divided by 9?
1
Let k = 101 + -56. Suppose i = -8*i + k. What is the remainder when 19 is divided by i?
4
Let k(q) = -2*q - 295 + 295 + q**3 + 6*q**2. Let r(w) = w**3 + 8. Calculate the remainder when k(-6) is divided by r(0).
4
Suppose 12*w - 11*w - 80 = 0. What is the remainder when w is divided by 18?
8
Suppose -m = 4*m - 10. Calculate the remainder when 61 is divided by 46*1/2 + (1 - m).
17
Let i(u) = u**2 + 10*u - 7. What is the remainder when 23 is divided by i(-11)?
3
Let m = 153 - -51. Let c = m + -83. What is the remainder when c is divided by 25?
21
Suppose -421 = -5*v - 12*q + 9*q, 4*q + 442 = 5*v. What is the remainder when v is divided by 8?
6
Let t = 359 - 159. Suppose 13*s = -t + 2033. Calculate the remainder when s is divided by 29.
25
Calculate the remainder when 3652/16 - (-1 - (-25)/20) is divided by 21.
18
Let d = 1042 + -929. Calculate the remainder when d is divided by 43.
27
Let q(y) = -y**3 - 24*y**2 + 16*y - 5. What is the remainder when q(-25) is divided by 32?
28
Suppose 4*g + 1 = 105. Suppose 5*v - 36 - 34 = 0. Calculate the remainder when g is divided by v.
12
Suppose -109*a + 291 = -a - 4893. Suppose -s + 21 = 4*p, 3*s - 22 - 26 = 3*p. What is the remainder when a is divided by s?
14
Let n(r) = 4*r**2 + r + 10. Let o = 394 + -208. Suppose -4*s = -0*z + 2*z - o, -s + 3*z + 43 = 0. Calculate the remainder when s is divided by n(-2).
22
Let w(b) = -b**2 + 7*b. Let a be w(7). Suppose -n = 5*k - 31, a*k + 3*k - 4*n = 14. Calculate the remainder when 30 is divided by 5 - k - 34/(-2).
14
Suppose 10*f = 240 - 120. What is the remainder when f is divided by 7?
5
Let c = -44 + 42. What is the remainder when 59 is divided by c/6 - (-19)/(-6)*-2?
5
Suppose -2*c + 92 = d, -23*d - 4*c = -25*d + 152. What is the remainder when d is divided by 2/5 - 339/(-15)?
15
Let k = -90 - -132. Let f(i) = i + 2. Let n be f(-6). Calculate the remainder when k is divided by (-2 + 35/(-10))/(2/n).
9
Suppose -23 = 4*w + 4*j + 13, w - 5*j - 21 = 0. Suppose -5*g - 12 + 92 = 0. Calculate the remainder when g is divided by w/32*-49 + (-1)/8.
4
Suppose 0 = 3*t - 196 - 314. Suppose 8*i - 230 = t. Calculate the remainder when i is divided by 13.
11
Let r(l) = -14*l**2 + 57*l + 1. What is the remainder when r(3) is divided by 8?
6
Let y(u) = u**3 - 6*u**2 - 39*u - 1. What is the remainder when 30 is divided by y(10)?
3
Let c be 2*(-19 + 4 + -1). Let y = c + 23. What is the remainder when ((-9)/(-6))/(y/(-156)) is divided by 14?
12
Let p be (6/(-4))/((-7)/14). Suppose -p*g + 15 = -3*n, -n = -5*n. What is the remainder when 11 is divided by g?
1
Let c = -7 + -16. Let g = c - -31. What is the remainder when g is divided by (9/(-6))/(1/(-2))?
2
Suppose 4*n - 15 = -5*z, 4*n - 20 - 1 = z. Let l(k) = -8*k - 8. Let m(b) = -4*b + 16. Let f be m(5). What is the remainder when l(f) is divided by n?
4
Let a(w) be the first derivative of -w**3/3 - 13*w**2/2 - 19*w - 16. Calculate the remainder when 60 is divided by a(-8).
18
Let b(z) = z**3 + 3*z**2 + z - 3. Let q be b(-3). What is the remainder when (-3)/(-6) + (-258)/(-4) is divided by -1 - -1 - (q + -11)?
14
Let d(u) = u**3 + 10*u**2 - 5*u + 4. Let o(v) = 20*v - 111. What is the remainder when d(-10) is divided by o(7)?
25
Let f(u) = -17*u + 55. What is the remainder when 215 is divided by f(0)?
50
Let r(q) = 2*q**2 - 4*q - 1. What is the remainder when r(18) is divided by 32?
31
Let h = 14 - 18. Let i(q) = q**3 + 4*q**2 - 4*q + 2. Let u be i(h). Suppose 0 = b - 33 - u. What is the remainder when b is divided by 18?
15
What is the remainder when 246 is divided by 324/33 + (-2)/(-11)?
6
Calculate the remainder when 183 is divided by ((-7)/(-7))/(-2 - 85/(-40)).
7
Let t = 238 + -218. What is the remainder when t is divided by 16?
4
Suppose -22 = 2*g - 3*f, g + 5*f = 2*g + 25. Let x be 2*((-6)/(-4) - (1 - 5)). Let m = x + g. Calculate the remainder when m is divided by 4.
2
Let v(m) = m**3 + 3*m**2 + 2*m - 2. Let d be v(-2). Let y = 3 + d. What is the remainder when ((-287)/(-63) - 5)*9/(-2) is divided by y?
0
Suppose 2*s - 4*o - 96 = 100, 2*s + 3*o = 210. What is the remainder when s is divided by 15?
12
Let a(g) be the third derivative of 0 + 5/24*g**4 + g**3 + 0*g + 11*g**2. What is the remainder when 105 is divided by a(6)?
33
Suppose 5*a + 3 - 28 = 0. Suppose -49 = -4*j + b, 5*j - 81 = a*b - 31. Calculate the remainder when 37 is divided by j.
11
Let c(y) = -2*y**3 + 12*y**2 - 6*y + 2. What is the remainder when c(5) is divided by 12?
10
Suppose 0 = -2*b + 5*w + 33, -2*w + 2 + 0 = 0. Suppose -5*h = -15, h + 19 = x - 0*h. Suppose 19*a = x*a - 15. Calculate the remainder when b is divided by a.
4
What is the remainder when 134 is divided by -1 - (-27 + 0) - -4?
14
Suppose -61 + 13 = -6*k. Calculate the remainder when 50 is divided by k.
2
Suppose -4*s + 5*t + 325 = 0, 5*s - 2*t - t = 403. Calculate the remainder when 878 is divided by s.
78
Let y(i) = -2*i + 24. What is the remainder when 208 is divided by y(9)?
4
Let z(u) = 8*u**2 + u + 3. Let v be z(-2). Let t = -31 + v. What is the remainder when 3 is divided by t?
1
Suppose 35*w - 423 = 26*w. Calculate the remainder when w is divided by 2/(-8) - (-1680)/64.
21
Let r(z) = z**3 + 6*z**2 - z + 11. Let u(b) = -b**2 - 7*b + 4. Let y be u(-5). Let v = y - 2. Calculate the remainder when r(-5) is divided by v.
5
Let q(d) = d**3 + d**2 + 31. Calculate the remainder when ((-60)/(-2))/(2/(5 - -1)) is divided by q(0).
28
Suppose 2*x + 5*p = 130, 9*x - 8*x = 3*p + 43. What is the remainder when 165 is divided by x?
0
Suppose 2*h = -b - b + 12, 4*b + 2*h = 34. Let p(i) = 2*i + 22. Let g be p(-6). Suppose -g*n + 3*n + 441 = 0. What is the remainder when n is divided by b?
8
Suppose 5*a = -4*z + 285, 15*a - 18*a + 213 = 3*z. What is the remainder when 136 is divided by z?
66
Let u(c) = 5*c**2 - 65*c - 365. Calculate the remainder when u(-6) is divided by 35.
30
Let c(f) = f - 5. Let t be c(25). What is the remainder when 4/(t/215) - 3 is divided by 16?
8
Let r(i) = i**3 - 6*i**2 + 1. What is the remainder when 12*8/12 + -5 is divided by r(6)?
0
Let a be -3 - (-7 + 2 + 2). Let y(c) = c**3 + 8*c**2 - 3*c - 20. Let n be y(-8). Suppose -5*q + n*q + 6 = a. What is the remainder when 17 is divided by q?
5
Let r(i) = -i**3 + 3*i**2 + 6*i - 6. Let y be r(4). Let p(u) = 2*u**2 - 19*u + 12. Let m be p(9). Let f = m + y. What is the remainder when 13 is divided by f?
3
Let f be 2*((-856)/(-32) + 3/4). Let p = f + -47. Calculate the remainder when 42 is divided by p.
2
Let x = 14 - -3. Let d(l) = -6*l + 22. Calculate the remainder when d(-7) is divided by x.
13
Let d be (-80)/(12/3) - 4. Calculate the remainder when 41 is divided by 15/(-5) - -1 - d.
19
Suppose -6*u = -7*u + 16. Let t = u - -30. Calculate the remainder when t is divided by 16.
14
Suppose -z + 106 = 4*j - 0*z, -131 = -5*j - 2*z. Calculate the remainder when 80 is divided by j.
26
Let b = -10 + 17. Suppose 0 = -2*f + 315 - 99. Suppose -5*x = -x - f. What is the remainder when x is divided by b?
6
Let h be (4/(-8) + 3)*(-6)/(-5). Suppose -h*z - 2*o + 52 = 3*o, 0 = -5*z + o + 96. What is the remainder when z is divided by 11?
8
Suppose 15 + 18 = 3*t. Let q(z) = -z**3 + 13*z**2 + 4. Calculate the remainder when t is divided by q(13).
3
Calculate the remainder when 42 is divided by (0 - 264/(-9)) + (-12)/9.
14
Let l(c) = 2*c**2 + 4*c + 13. Let a(j) = -j**2 - 2*j - 7. Let g(m) = 11*a(m) + 6*l(m). What is the remainder when 61 is divided by g(3)?
13
Suppose -5*f = 2*x - 283, 0*x = 5*f + 3*x - 287. Suppose 50 = 5*r - f. Calculate the remainder when r is divided by 12.
9
Let x(n) = n**2 + 9*n - 8. Let p be 154/14*1/(-1). What is the remainder when 25 is divided by x(p)?
11
Let s = -69 + 82. What is the remainder when 36 is divided by s?
10
Let b(j) = -3*j + 16. Let y(i) = -3*i + 17. Let u(m) = -4*b(m) + 5*y(m). What is the remainder when u(-26) is divided by 25?
24
Suppose -5*i = u, -2*u + i - 8 = -41. Let s = 29 - u. What is the remainder when 26 is divided by s?
12
Let x(n) = n**3 - 3*n**2 + 4*n + 17. Calculate the remainder when 191 is divided by x(4).
44
Let b b