ose -3*t = 5*o - z, -2*o + 6 = -0. What is the remainder when 25 is divided by t?
10
Let n = -167 + 172. What is the remainder when 59 is divided by n?
4
Suppose -4*k = -6*n - 104, 2*k + 6 - 58 = -2*n. What is the remainder when k is divided by (-27)/(-4) + 3/12?
5
Let p(t) = -t**2 + 5*t + 4. Let q be p(-3). Suppose -18*a = -23*a + 25, 0 = 5*l - 2*a + 35. What is the remainder when 19 is divided by l/q + 54/8?
5
Let k be 129/12 + (-3)/(-12). Suppose -2*z - 3 = -k. What is the remainder when 18 is divided by (2 - z - -3) + 4?
3
Let k = -29 + 54. Let t(j) = j**2 + 15*j + 10. Let a be t(-14). What is the remainder when (150 - 3)/((-6)/a) is divided by k?
23
Let b = -1011 - -1053. What is the remainder when 80 is divided by b?
38
Let l(b) be the first derivative of -b**4/4 + b**3 + 3*b**2/2 + 4*b - 2. Let r = -702 - -706. Calculate the remainder when l(3) is divided by r.
1
Suppose 4*u = 113 - 29. Let b(d) = d + 11. What is the remainder when 122 is divided by b(u)?
26
Let f = -130 + 160. Calculate the remainder when 115 is divided by f.
25
Let z(i) = 6*i + 222. Calculate the remainder when z(6) is divided by 90.
78
Let n(a) = a**3 + 15*a**2 - 19*a + 16. Let u = -28 + 12. Suppose -2*b = -8 - 58. What is the remainder when n(u) is divided by b?
31
Suppose -27 - 6 = -3*d. Suppose -43 = 15*s - 16*s. What is the remainder when s is divided by d?
10
What is the remainder when 52 is divided by 232/2*30/120?
23
Suppose -2*s - 2*o + 36 = 0, s = o + 3*o + 28. Calculate the remainder when 84 is divided by s.
4
Let u(b) = -b**3 + 7*b**2 - 2*b - 8. Calculate the remainder when u(6) is divided by ((-835)/(-65) - 8) + 6/39.
1
Suppose -3*a + b - 15 = -2*b, -2*a - b - 25 = 0. Let i = a + 15. Suppose 2*o - 75 = -i*y, 4*o + 24 = 4. Calculate the remainder when 48 is divided by y.
14
Let r(p) = 2*p**3 + 36*p**2 - 3*p - 24. Calculate the remainder when (178/6)/(2/6) is divided by r(-18).
29
Let d = -24 + 37. Suppose -d*h + 12*h + 14 = 0. What is the remainder when 40 is divided by h?
12
Suppose -43*h = -44*h + 12. Calculate the remainder when 119 is divided by h.
11
Let h = -54 - -47. Let l(s) = s**3 + 7*s**2 - 3*s + 1. Calculate the remainder when 108 is divided by l(h).
20
Let o = 21 + -16. Suppose -r - 50 = -3*r. Suppose 0 = 2*c + m - 19, m - 80 + r = -5*c. What is the remainder when c is divided by o?
2
Let o(n) = -5*n**2 + 6*n + 16. Let w(s) = -11*s**2 + 11*s + 33. Let x(r) = -7*o(r) + 3*w(r). Let f = -6 + 14. What is the remainder when x(7) is divided by f?
6
Suppose 134*u = 139*u - 70. What is the remainder when 51 is divided by u?
9
Suppose 4 = 3*i + 28. Let t = i + 13. Suppose -t*d = -0*d - 65. What is the remainder when d is divided by 7?
6
Suppose -3*g + 16*g = 1248. Suppose 3*v - 66 = v. What is the remainder when g is divided by v?
30
Suppose 8*d + 6*d = 0. What is the remainder when (3 - d/(-4)) + 12 is divided by 6?
3
Let k be 9*(-4)/10*(-180)/8. Let t = -62 + k. Calculate the remainder when 91 is divided by t.
15
Let h(w) = -30*w - 14. Let z be h(6). Let d = -116 - z. What is the remainder when d is divided by 20?
18
Let b = 854 - 845. Calculate the remainder when 23 is divided by b.
5
Suppose -118 = -165*k + 160*k + 2*o, -2*o + 80 = 4*k. Calculate the remainder when 58 is divided by k.
14
Suppose 3*x - 6*x - 7 = -2*h, -5*x = 2*h + 33. Let l(z) = -z + 1. Let v be l(x). What is the remainder when 83 is divided by 3/v*6*7?
20
Suppose -14*j + 13*j = -4. Calculate the remainder when 25 - 6*j/(-8) is divided by (5/(-4))/(2/(-8)).
3
Suppose -87*n + 108*n - 3654 = 0. What is the remainder when n is divided by 7?
6
Suppose 4*a + 172 = -3*j - j, -2*j - 44 = a. Calculate the remainder when 7/a + (-265)/(-6) is divided by 24.
20
Let o(l) = -l**2 - 6*l - 1. Let c be o(-7). Let g(a) = a**3 + 5*a**2 - 4*a + 2. What is the remainder when g(2) is divided by (6/4*c)/(-2)?
4
Let a = -144 - -147. Suppose 57 = a*l + 21. Calculate the remainder when 21 is divided by l.
9
Suppose u = -m + 405, 2*u = -3*m + 1281 - 475. Suppose -u - 91 = -4*k. Calculate the remainder when k is divided by 32.
29
Let r = 1122 - 919. Calculate the remainder when r is divided by 4.
3
Suppose -6*m + 1299 + 2907 = 0. What is the remainder when m is divided by 22?
19
Suppose -3*x - 30 = -2*j, 2*j - 40 = -86*x + 84*x. What is the remainder when 102 is divided by j?
12
Suppose 5*z = -5*x + 6*x - 16, 2*x = -4*z + 102. Calculate the remainder when 157 is divided by x.
34
Suppose a - 18 = 5. Let k = 1124 - 1034. Calculate the remainder when k is divided by a.
21
Suppose 4*t = -2*t - 264. Let z = -5 - t. Let d(s) = -4*s**3 - 4*s**2 - s + 2. Calculate the remainder when z is divided by d(-2).
19
Let r(t) = t**3 - 2*t**2 - 2*t + 1. Let n(o) be the second derivative of o**3/6 + 6*o. What is the remainder when n(4) is divided by r(3)?
0
Let z(b) = -b**3 + 6*b**2 - 4*b - 2. Suppose 14*a - 3*a = 44. Calculate the remainder when 124 is divided by z(a).
12
Suppose -v + 15 = 5*u, 3*v = -2*u + 148 - 38. Suppose 5*k = -n - 24 - 5, -4*k - v = 5*n. Calculate the remainder when 14 is divided by 160/28 + n/(-14).
2
Suppose 0 = 15*u - 49 - 266. Calculate the remainder when 166 is divided by u.
19
Let o be (-1 + -1 - 0)/((-4)/8). Suppose -o*m = m - 210. What is the remainder when 165 is divided by m?
39
Suppose -k + 1 = -28. Let d = -5 + k. Suppose 29 = -h + 122. What is the remainder when h is divided by d?
21
Suppose 0 = -0*q - 7*q + 35. Let w = -67 - -44. Let f = -14 - w. What is the remainder when f is divided by q?
4
Let q be 4 - 1 - (-1 - -10). Let i be (-2 - (-14)/4)*q. Let t = i - -13. What is the remainder when 6 is divided by t?
2
Suppose 2*q + 10 = 4*q. Suppose -164 = -q*w + 6. Calculate the remainder when w is divided by 9.
7
Let n(g) = g**2 + 159 + 0*g**2 + 7*g - 158. Calculate the remainder when n(-10) is divided by 13.
5
Suppose 3*c = 4*c - 19. Suppose -2 = 2*u - u, -5*d - 3*u + c = 0. Suppose d*z - 15 = 0, 2*x + 3*z - 35 - 82 = 0. What is the remainder when x is divided by 11?
10
Suppose -2*j + 27 = j. Suppose -n = -i + 2, -3*i + 4*i = 2*n - 1. What is the remainder when j is divided by n?
0
Let l(n) = 40*n + 41*n + 21*n + 12*n - 1. Let i be l(4). Suppose k - 6*k + i = 0. What is the remainder when k is divided by 31?
29
Let u(q) = -q**3 + 9*q**2 - 8*q - 8. Calculate the remainder when 101 is divided by u(7).
33
Suppose 4*t - t = 12. Let c be (t - 0)/(-8)*-38. Suppose 13 + c = 2*w. What is the remainder when 63 is divided by w?
15
Let h(k) = -k - 7. Let b be h(-10). Suppose -b = -m - 0. Suppose r - m = 0, 0*r = 5*z - 3*r - 46. What is the remainder when 20 is divided by z?
9
Suppose 91 - 22 = 3*k. Suppose -7*v = 13*v - 100. Calculate the remainder when k is divided by v.
3
Let v(j) = 12*j**2 - 3*j + 3. Suppose 230*t - 31*t - 26268 = 0. What is the remainder when t is divided by v(2)?
42
Suppose 6 = -3*j + 24. Suppose -3*l + 4 = -u + 24, 2*u + 2*l = 64. What is the remainder when u is divided by j?
5
Suppose 11*a - 698 = -236. What is the remainder when 149 is divided by a?
23
Suppose 5*t + 5 = -0. Let x be (1 + t)/(24/12). Suppose x*z - 3*z = -i + 22, -z + 153 = 4*i. What is the remainder when i is divided by 19?
18
Let y be -3*1 - (-4 - 3 - -4). Calculate the remainder when 38 + (-3 + -1 - y) is divided by 14.
6
Let d(q) = 6*q - 16. Let r be d(3). Suppose 153 = 11*n - r*n. Calculate the remainder when n is divided by 9.
8
Calculate the remainder when (-6)/(-15) - (-956)/10 is divided by (50/(-4))/(9/99 + 39/(-66)).
21
Let r = -962 + 976. Let w(i) = i**2 + 2*i + 5. What is the remainder when w(5) is divided by r?
12
Let q = -60 + 65. Suppose q*h + 5*n - 30 = 0, 0*h + 2*h = 4*n + 36. Calculate the remainder when 37 is divided by h.
7
Suppose -2*d = -3*d - 2. Let b be 48 + d + 5 + -2. Let v = 10 + b. What is the remainder when v is divided by 20?
19
Let z = 9 - 13. Let d be -2*2/z*6. Suppose -d = -3*b - 0. Calculate the remainder when 4 is divided by b.
0
Let k be ((-3)/(6/428))/(2/(-5)). Let l = -338 + k. What is the remainder when l is divided by 33?
32
Let q(o) = -o**3 + 8*o**2 - 6*o - 1. Suppose -7*s - 5 = -2*s, -3*f + 41 = -5*s. Calculate the remainder when q(6) is divided by f.
11
Let y(z) = 4*z + 103*z**2 + 4 - 6 + z**3 - 3 - 95*z**2. Calculate the remainder when y(-7) is divided by 11.
5
Let g 