 is divided by i.
6
Let b(f) be the third derivative of 5*f**2 + 0*f + 0 - 1/60*f**5 + 1/6*f**3 + 1/12*f**4. Calculate the remainder when 1 is divided by b(2).
0
Suppose -330 = 5*s + 4*d, s - d - d + 52 = 0. Let y = s + 109. What is the remainder when y is divided by 13?
8
Let h = 97 + -89. Suppose -6 = -5*t + 9. Suppose -2*q - q - 5*s + 24 = 0, 2*q + t*s = 17. Calculate the remainder when q is divided by h.
5
Let o(a) = -3 + 2 + 3*a**2 + 10 - 3*a**3 + 2*a**3 + 3*a. What is the remainder when 0 + 25 + -1 + 2 is divided by o(0)?
8
Let o(n) = n**3 - 4*n**2 + 3*n + 1. Suppose -3*s + 4 = p, -2*p - 2 = -4*s - 0. Calculate the remainder when o(4) is divided by ((-3)/p)/(21/(-28)).
1
Let c = 25 + -15. Let b(a) = -a**3 - 12*a**2 - 3*a - 16. Let v be b(-12). Let x = v - 4. Calculate the remainder when x is divided by c.
6
Let x(l) = 175 - 4*l + 2*l**2 + 5*l + 2*l**3 - l**2 - l**3. Let h be x(0). Suppose -8*o + 3*o = -h. What is the remainder when o is divided by 9?
8
Suppose 3*a = r - 5*r + 137, -r = 5*a - 47. Let o = r - 13. What is the remainder when 71 is divided by o?
14
Suppose -2*p + 32 + 34 = 0. Let h = p - 22. Suppose 2*c = 1 + h. Calculate the remainder when 10 is divided by c.
4
Let g(o) = -8*o + 44. Calculate the remainder when g(-10) is divided by 49.
26
Let s(a) = 27*a - 6. Let b be s(3). Let c = b + -67. Suppose 0 = -2*v + l + 65, 0 = 5*l - 10 + 35. Calculate the remainder when v is divided by c.
6
Suppose 9*b - 15*b = -2*t - 904, 5*b - 4*t = 744. What is the remainder when b is divided by 50?
2
Suppose 0 = -16*c - 1244 + 2140. What is the remainder when 1007 is divided by c?
55
Suppose 0 = -141*f + 143*f - 18. Suppose -7*b = -f*b + 178. Calculate the remainder when b is divided by (38/(-4) + -2)*-2.
20
Suppose o - 35 = 5*b, 25 = 3*o - 0*b + 5*b. Let s = -8 + o. Calculate the remainder when 23 is divided by s.
2
Suppose -14 + 0 = -s. Let b(w) = w**2 + 6*w. Let f be 18/((-2 + 4)/(-1)). Calculate the remainder when b(f) is divided by s.
13
Let z(h) = 2*h**2 - 6*h + 11. Let c be z(2). Let q = 56 - c. Calculate the remainder when q is divided by 13.
10
Let l(n) = 30*n - 2. Let b be l(1). Let r = b + -14. What is the remainder when 26 is divided by r?
12
Suppose 669*v + 198 = 678*v. Let d(j) = 2*j - 2. Let k be d(2). Calculate the remainder when (2 - 4)/(k/(-41)) is divided by v.
19
Let f(x) = x**2 + x + 2. Let b be f(-2). Suppose 2*k + 5*t = b*k - 18, -4*t = 5*k - 12. Suppose 2 + 25 = 9*n. Calculate the remainder when k is divided by n.
1
Suppose 3*u - 38 = -2*d, -5*u - 32 = -6*d + 2*d. Let n(c) = -2*c - 4. Let i be n(-5). Suppose -i*w + 48 = -4*w. Calculate the remainder when w is divided by d.
11
Let l(j) = -4*j + 10. Let g(s) = 27*s + 11. Let f(u) = -13*u - 6. Let m(z) = -7*f(z) - 3*g(z). Calculate the remainder when m(6) is divided by l(-2).
15
Let g(p) = p - 11. Let k be g(14). Suppose k*r - 105 = -2*r + 4*s, r - 2*s - 21 = 0. What is the remainder when r is divided by 11?
10
Let u(t) = -t**3 - 9*t**2 - 13*t. Let r(y) = -3*y + 19. Let s be r(9). What is the remainder when u(s) is divided by 11?
7
Let i(o) be the first derivative of o**3/3 - o**2 + 8. What is the remainder when 9 is divided by i(3)?
0
Let j = -447 + 720. What is the remainder when j is divided by 31?
25
Suppose -2*k = -k - 7. Suppose -13*w + 512 + 86 = 0. What is the remainder when w is divided by k?
4
Suppose 0 = j - 3*j + 6. Suppose -4*m = -j*m - 36. Suppose f - 3*f = -26. What is the remainder when m is divided by f?
10
Suppose 6*v = 10*v - 108. Let h = 33 - 35. Calculate the remainder when v is divided by (-4 + (-38)/h)*1.
12
Let x(l) = l**3 - l**2 - l + 3. Let d be x(2). What is the remainder when (-182)/(-4) - d/10 is divided by 12?
9
Suppose 63 = -23*s + 20*s. Calculate the remainder when 18 is divided by s/(-3)*1 - 0.
4
Suppose 0 = -6*a - 322 + 352. Let q(u) = u + 14. Let y be q(-6). Suppose -a*m - 99 = -y*m. Calculate the remainder when m is divided by 18.
15
Let t = 159 + -152. What is the remainder when 19 is divided by t?
5
Let g = -14 + 9. Calculate the remainder when (-307)/g - (1 + (-6)/10) is divided by 16.
13
Suppose -4*z + z + 136 = p, 5*z - 537 = -4*p. What is the remainder when p is divided by 34?
31
Let v(a) = -a**3 - a + 20. Let t = 553 + -550. Calculate the remainder when v(0) is divided by t.
2
Let l be (-8)/(-20) - 6/15. Let a(o) = 2*o**2 + o + 45. Calculate the remainder when a(l) is divided by 8.
5
Let f(x) = -2*x - 44. Calculate the remainder when 32 is divided by f(-29).
4
Suppose 70*y = 99*y - 2117. Calculate the remainder when 80 is divided by y.
7
Suppose -2*c = 3*c - 40. Let j = c - -6. What is the remainder when j is divided by 7?
0
Let b = -477 + 507. Calculate the remainder when b is divided by 20.
10
Let y = 14 + 163. Calculate the remainder when y is divided by 45.
42
Suppose 2*s - 23 - 27 = 0. Let n(w) = -3*w - 4. Let f be n(-2). Let p(b) = 6*b + 2. What is the remainder when s is divided by p(f)?
11
Let i(x) = -8*x - 3. Let s(w) = w**3 + 11*w**2 - 14*w - 17. Let y be s(-12). Let q be 2 - (y + -4) - 2. What is the remainder when 39 is divided by i(q)?
18
Let n = -1 - -74. Calculate the remainder when 215 is divided by n.
69
Let v(s) = s**3 + 5*s**2 + 3*s - 1. Let b = 32 + -20. Calculate the remainder when b is divided by v(-3).
4
Suppose -6*d + 99 = 3*d. What is the remainder when d is divided by 7?
4
Let k = -43 - -51. Suppose 2*n + 65 = d, -12 = 4*n - k*n. What is the remainder when d is divided by 37?
34
Let i(t) = -13*t + 21. Let g be i(-6). Suppose a + g - 118 = 0. Calculate the remainder when a is divided by 11.
8
Let b(p) = p**3 - 6*p**2 + 11. Suppose x + 3*x = 24. What is the remainder when 41 is divided by b(x)?
8
Let g = 2 - -31. Suppose -k + 2*z = -8, 2*k + 2*k - 24 = 4*z. Suppose -y = -3*y + 5*b + 19, 0 = -k*y + 3*b + 45. Calculate the remainder when g is divided by y.
9
What is the remainder when -1 + -4 + 5 - -30 is divided by 20?
10
Let c be (-5 - (-1 - -4))*2. Let q = c - -30. Calculate the remainder when q is divided by 5.
4
Let t(y) = -y**3 - 8*y**2 - 6*y - 6. Let h be t(-8). Suppose b - 5*b + 8 = 0. Suppose 5*d - b*d - h = 0. What is the remainder when d is divided by 5?
4
Let u(z) = z**3 - 4*z**2 - 16*z + 7. Let q be u(8). Let r = q + -112. What is the remainder when 137 is divided by r?
22
Suppose 0 = -543*d + 538*d + 60. Calculate the remainder when 95 is divided by d.
11
Let c = -322 + 722. Calculate the remainder when c is divided by 81.
76
Suppose 5*o - 7 = 5*d + 2*o, d + 11 = 3*o. Let i(r) = -d + 2 - 5*r + 7 + 3*r. What is the remainder when 47 is divided by i(-4)?
15
Suppose -3*z = -160 - 41. Let t(p) be the second derivative of p**4/3 + 5*p**3/6 + p**2 + 2*p. Calculate the remainder when z is divided by t(-3).
21
What is the remainder when (207/2)/(1/2) is divided by 53?
48
Suppose -29 - 81 = -2*m. Calculate the remainder when 71 is divided by m.
16
Let p = 81 - 4. Let f = p - 47. What is the remainder when f is divided by 1 - (-7)/(0 + 1)?
6
Let z(t) = 3*t**2 + 5*t - 2. Let p(f) = 6*f**2 + 10*f - 5. Let q(x) = 3*p(x) - 5*z(x). Let j(c) = c + 4. Calculate the remainder when q(-3) is divided by j(0).
3
Let d be 731/5 + (-3)/15. Suppose u = -4*u - n + d, -3*u = 5*n - 92. Calculate the remainder when u is divided by 15.
14
Let a = 2 - 4. Suppose -2*z = 2, 5*o - 3*z - 96 = 2*o. What is the remainder when a/1 + 4 + 59 is divided by o?
30
Let v(l) = -l**3 + 12*l**2 + 8*l - 25. Let j be v(11). Let g = -110 + j. Calculate the remainder when g is divided by 38.
36
What is the remainder when 853 is divided by (9/4)/(-3 + (-441)/(-140))?
13
Suppose 141*g + 15 = 136*g. Calculate the remainder when 758/6 - (g - (-63)/27) is divided by 16.
15
Let r = 53 + -37. Suppose f + i = 5*f - r, 3*f + i = 5. What is the remainder when 3 is divided by f?
0
Let i = 19 + -6. What is the remainder when (-2)/4*8*-11 is divided by i?
5
Suppose -3*x + 4*y = -y + 129, 12 = -4*y. Let b = x + 74. What is the remainder when -8*(-6)/24 - -37*2 is divided by b?
24
Let v(j) = -10*j - 7. Let z(i) = -i**3 - 4*i**2 + 3. Let o be z(-4). Suppose -o*f + 43 = -11. What is the remainder when v(-6) is divided by f?
17
What is the remainder when (-1)/(-1) + 144/(-40)*-15 is divided by 8?
7
Let d = 93 - -11. Suppose 4*n - d = n + 4*g, 0 = n + 4*g - 2