4
Let k(i) = -10*i**3 - 2 + 3*i**3 + 4*i**3 + 1 + i**2. Calculate the remainder when 6 is divided by k(-1).
0
Suppose -70*u + 24 = -67*u. What is the remainder when 31 is divided by u?
7
Let u(x) = -8*x. Let p(m) = 2*m. Let h(b) = -9*p(b) - 2*u(b). Calculate the remainder when 119 is divided by h(-15).
29
Suppose 2*j - 144 = -2*j + 2*o, 4*o + 177 = 5*j. Calculate the remainder when 69 is divided by j.
32
Let u(t) = -t**3 + 6*t**2 + 6*t + 7. Let r be u(7). Suppose r*z - 50 = -5*z. Calculate the remainder when (74/(-6))/(2/(-6)) is divided by z.
7
What is the remainder when 75 is divided by 7/(-77) - 1860/(-132)?
5
Suppose -4*p = -50 + 14. Let j(a) = a**2 - 11*a - 9. Let q = -1 - -15. Calculate the remainder when j(q) is divided by p.
6
Let x be (-6)/(-8) + 33/(-12) + -2. Calculate the remainder when (12/(-15))/(x/620) is divided by 25.
24
Let t be -3*(1/7 + (-262)/21). Suppose -39*p + t*p + 66 = 0. Let w(y) = -y + 12. Calculate the remainder when p is divided by w(0).
9
Let n(o) = o**2 - 3*o - 5. What is the remainder when n(-5) is divided by 27/(54/(-12)*(-1)/3)?
17
Suppose 0 = -6*s + 254 + 10. What is the remainder when 877 is divided by s?
41
Let v = -60 + 173. Let m = -74 + v. Suppose 4*b = 49 + m. Calculate the remainder when b is divided by 8.
6
Let r = -83 - -265. Suppose -2*d = 5*d - r. Calculate the remainder when 77 is divided by d.
25
Suppose 9*y - 11*y + 6 = 0. Suppose -7 = -4*r - y. Calculate the remainder when r + 1/((-1)/(-23)) is divided by 7.
3
Suppose 4*m - 123 = 3*o, 4*m + 4*o - 48 = 68. Let s(a) = -30*a + 18. Let w be s(-11). Calculate the remainder when m is divided by (-12)/(-66) + w/22.
14
Suppose 0 = 5*d + 3*c - 6456, -12*d + 11*d + 1280 = -5*c. What is the remainder when d is divided by 18?
12
Let f(z) = 2*z**2 - 8*z + 3. Let h be f(5). Suppose 0 = -4*i + h + 7. Calculate the remainder when 16 is divided by i.
1
Let l(n) = 2*n**2 + 25*n - 9. Let u be l(-13). Suppose 116 = 7*g + u. What is the remainder when 174 is divided by g?
14
Let k(w) = -193*w - 102. Calculate the remainder when k(-5) is divided by 48.
47
Suppose -6*b - 102 = -12*b. Suppose -22*x + 465 = -b*x. What is the remainder when x is divided by 19?
17
Suppose 2*j + 11 - 5 = 0. Let y be j/(-3) - 0 - -8. Suppose -4*x - q - 16 = -y*x, -3*x - 2*q = -20. Calculate the remainder when 6 is divided by x.
2
Let i(z) = -z**3 + 2*z**2 + z + 18. Let h(d) = d**2 + 4*d + 8. What is the remainder when h(3) is divided by i(0)?
11
Let r = 32 + -29. Suppose 0 = 3*b + r*g - g - 97, -2*g + 4 = 0. Calculate the remainder when b is divided by 9.
4
Let m be 1/6*3 - (-1045)/(-22). Let r = m + 62. Calculate the remainder when 57 is divided by r.
12
Let s = 470 + -163. Let p = s + -163. What is the remainder when p is divided by 49?
46
Let r(k) = k**2 - k - 1. Let q be r(-2). Let x(v) = -v + 23. What is the remainder when 35 is divided by x(q)?
17
Suppose 9*o = 858 + 879. Calculate the remainder when o is divided by 28.
25
Let i be ((-9)/6)/(18/(-84)). Suppose 5*w - 4*p - p = -15, -3*p = 5*w + i. What is the remainder when 24 + (-5)/((-5)/w) is divided by 6?
4
Suppose -8*m + 172 + 60 = 0. Suppose 5*o - m = -9. What is the remainder when 6 is divided by o?
2
Suppose -2 = 5*v + 13. Let q be -11*(-1 + v + 5). Let l = 64 - q. Calculate the remainder when l is divided by 13.
10
Let x be ((-125)/15)/((-2)/42). What is the remainder when 20/8*(-192)/(-20) is divided by (-1)/(-4) + x/20?
6
Suppose 0 = w + 2*l - 5*l - 5, -4*l = -2*w + 8. Suppose -12*a + 70 = -2*a. What is the remainder when a is divided by w?
1
Let s be 1/(((-3)/2)/(-3)). Let n(p) = 6*p - 3. What is the remainder when n(s) is divided by (12/(-22))/(16/(-6 + -170))?
3
Let o = 3 - 21. Let c be (-304)/(-6)*(-27)/o. Suppose 3*b - c = -7. What is the remainder when 45 is divided by b?
22
Let u(j) be the third derivative of j**5/60 - j**4/4 - 3*j**3/2 + 10*j**2. What is the remainder when 18 is divided by u(-2)?
4
Suppose 4*o + 12 = -8. What is the remainder when 19 is divided by 3 + o - (-4 - 3)?
4
Suppose -3*a + 5*a - 80 = 0. Suppose 0 = x - 32 + 50. Let m = 25 + x. Calculate the remainder when a is divided by m.
5
Calculate the remainder when 7632/32*16/18 is divided by 4.
0
Suppose -3*y - 34 = -5*z, 0 = -y - 2*z - 1 - 25. Let q = -10 - y. What is the remainder when (155/10)/(0 - 1/(-2)) is divided by q?
7
Suppose -7*n + 165 = 39. What is the remainder when 71 is divided by n?
17
Let o(n) = -13*n - 4. Let t be o(-5). Calculate the remainder when t + (-4)/2 + 5 is divided by (-1 - 17/(-6))*66/11.
9
Let r(q) be the first derivative of -2*q**2 + 8*q - 16. What is the remainder when r(-3) is divided by 8?
4
Let a be 2/(-4)*(-818 - -4). Suppose -3*y + b = -245, -5*y + a = -0*b - 2*b. Let m = y - 55. Calculate the remainder when m is divided by 10.
8
Suppose -2*m - 3*y = -0*m - 11, 3*y = m - 1. What is the remainder when ((-80)/(-5))/m + 15 is divided by 12?
7
Suppose 5*i - 6 = d + 5, -2*d + 5 = -i. Suppose -i*o + 2*o + 78 = 0. What is the remainder when 4 + -8 - o/(-3) is divided by 6?
4
Suppose 11*w - 795 = -245. Suppose -6*c + 2*c = 0. Suppose c = 4*o - 28 - 24. What is the remainder when w is divided by o?
11
Let w(a) = -6*a + 53. Let l be w(-9). Calculate the remainder when 1*l - -6*(-2)/4 is divided by 21.
20
Suppose 5*h - 43 = 4*i, 19 = -h + 3*h - i. What is the remainder when 5/(75/(-12))*-65 is divided by h?
8
Suppose -2*a - 2*t = -86, -a - 2 = 2*t - 49. Let u be 7*((4 - 4) + 64). Calculate the remainder when a is divided by 6/7*u/48.
7
Suppose 7*w - 2840 = -2322. Calculate the remainder when w is divided by 14.
4
Suppose -k - 15*k = -192. What is the remainder when 1617 is divided by k?
9
Suppose -5*g - 3*d + 76 = 0, -4*d + 10 = 2. Suppose -3*u - g + 61 = -i, 10 = -5*i. Calculate the remainder when 88 is divided by u.
13
Let l = 96 + -163. Let r = 139 + l. What is the remainder when r is divided by 37?
35
Let m be (-1 + 11 - -2)/2. What is the remainder when (-6)/(-9) + (-109)/(-3) is divided by (-12)/8*(-52)/m?
11
Let c be ((-3)/2)/((-12)/(-32)). Let x be 20/(-30) - 2/6. Calculate the remainder when 63 is divided by c + 5 - (-16 - x).
15
Let g = -29 + 58. Calculate the remainder when 343 is divided by g.
24
Suppose -5*o = -2*z + 26, 7 = z + 4*o - 5*o. Suppose -268 = 2*k + z*p + 102, 171 = -k + 2*p. Let t = k - -257. What is the remainder when t is divided by 16?
14
Suppose 4*j - 1188 = 3*f, 1188 = 4*j + 4*f + f. Calculate the remainder when j is divided by 61.
53
Let h(l) = 8*l**3 - 4*l**2 - 2*l - 9. Calculate the remainder when h(5) is divided by 21.
20
Suppose -1 + 6 = 5*q. Let z(j) = 2*j**3 + j - 1. Let b be z(q). Calculate the remainder when b/5 - 309/(-15) is divided by 6.
3
Let p(q) = q**3 - 11*q**2 + 23*q - 21. Calculate the remainder when p(10) is divided by 55.
54
Let h = 116 - -635. Calculate the remainder when h is divided by 13.
10
Let v(k) = 83*k**2 - 1. Calculate the remainder when 217 is divided by v(-1).
53
Let g be (-6)/(-21) - 22*12/(-56). Suppose c + 67 = 5*r + 2*c, g*r - 5*c = 55. What is the remainder when r is divided by 2?
1
Suppose 2*s - 5*s = -n + 4, 0 = -4*s - 2*n - 2. Let c = 18 - s. Calculate the remainder when c is divided by 10.
9
Let v(h) = 8*h + 103. What is the remainder when v(-9) is divided by 8?
7
Suppose -36*m = -39*m + 75. Let w be 160/(-12)*6/2. Let z = -27 - w. Calculate the remainder when m is divided by z.
12
Let a = 39 + -35. Suppose -13 = -a*t + 23. Calculate the remainder when 42 is divided by t.
6
What is the remainder when 2/(-6)*(1 - 3)*144 is divided by 27?
15
Let o(f) = 13*f**3 - 7*f**2 - 7*f - 6. Let w(q) = q**3 + q**2 + q + 1. Let k(y) = -o(y) - 5*w(y). What is the remainder when 51 is divided by k(-1)?
13
Let v(d) = -4*d + 7. Let t be v(4). Calculate the remainder when 1*129/t*-3 is divided by 11.
10
Let w(r) = r**2 + 4*r - 7. Suppose 5*b - 19 = -2*y + 8, -2*y + 2 = 0. What is the remainder when w(3) is divided by b?
4
Let l(i) = 7*i**2 - 3*i + 31. Let u be l(10). Let n = u - 474. What is the remainder when n is divided by 58?
53
Suppose -5 = -4*d - 2*s - 1, 6 = 2*d - s. Let p(k) = -k**d - 38 + 7*k + 2*k**2 + 33. What is the remainder when 49 is divided by p(-9)?
10
Let n = 48 + -13. Suppose 42 = 3*f - 5*u + 8*u, -2*f - 2 = -4*u. Calculate the remainder when n is di