er when m is divided by 8?
5
Calculate the remainder when 569 - 40/30*-3 is divided by 82.
81
Suppose 24 = -2*l + 38. Let w be (-1 - 1)/(14/63). Calculate the remainder when l is divided by (-6)/w + 20/6.
3
Let d = 44 - -16. What is the remainder when 418 is divided by d?
58
Suppose -3*b = 69 + 183. Calculate the remainder when 14 is divided by b/(-22) - 12/(-66).
2
Let i = 1 - -5. Let f = -11 + 15. What is the remainder when i is divided by ((-2)/f)/(4/(-24))?
0
Let k be -10*((-13)/2 - -2). Suppose -k = -4*v - v. Suppose -4*t + 58 = i, 89*i - 94*i = 2*t - 20. Calculate the remainder when t is divided by v.
6
Let w = 3062 + -2641. What is the remainder when w is divided by 47?
45
Let j(l) = -31*l + 212. Suppose 20 = 4*z - b + 5*b, 2*b + 4 = 0. Calculate the remainder when j(6) is divided by z.
5
Suppose 5*w + 4*t - 11 = 4*w, 0 = -5*w - t + 93. What is the remainder when 110 is divided by w?
15
Suppose 24 = u + 3*t, 0 = -0*t + t + 3. What is the remainder when 624 is divided by u?
30
Suppose 5*k = 9*k - 240. Suppose -8*t + k = 12. What is the remainder when t is divided by 5?
1
Suppose -7 = -7*m + 14. Suppose 14 = 3*u - 5*q, -m*u + 1 = q - 25. Calculate the remainder when (19/3)/(4/24) is divided by u.
6
Let l be 2/(5/(-2) - -3). Suppose 2*r - 48 = -l*r. Suppose 0*t + 65 = 5*t. What is the remainder when t is divided by r?
5
Suppose 3*b - 5*s = 4*b + 40, 2*s = -5*b - 223. Let v = b - -134. Let x(y) = y**3 + 5*y**2 - 5*y - 2. What is the remainder when v is divided by x(-5)?
20
Let r(b) = -b**2 - 14*b - 21. Let u be r(-11). Calculate the remainder when 85 is divided by (-6)/(-4)*176/u.
19
Suppose -4*l = 19 + 9. Let v = l + 9. Suppose c - 7*f = -v*f + 6, -5*c + 30 = 3*f. Calculate the remainder when c is divided by 2.
0
Let k(u) = 2*u**2 - 26*u + 131. Calculate the remainder when 211 is divided by k(10).
69
Suppose -5*o + 71 = 2*q, 4*q = 3 + 9. Let p(j) = -j**3 + 32*j**2 - 109*j - 5. What is the remainder when o is divided by p(4)?
6
Let q = -66 + -18. Let c = q - -144. Suppose -b = -2*b + c. What is the remainder when b is divided by 21?
18
Suppose -275 = 114*p - 125*p. What is the remainder when 64 is divided by p?
14
Suppose -2*z + z + 1 = 0. Let m(v) = v**2 - 2*v + 1. Let d be m(z). Suppose d = a - 12 - 7. What is the remainder when a is divided by 7?
5
Suppose 3*v + 2*t + 8 = 0, 13 - 2 = -4*v - 3*t. What is the remainder when 74 is divided by ((-152)/(-12))/(v/(-3))?
17
Let a(h) = h**3 - 21*h**2 + 4*h + 13. What is the remainder when a(21) is divided by 90?
7
Let s = -2171 - -2458. Calculate the remainder when s is divided by 57.
2
Let h(z) = -z**2 - 14*z - 2. Suppose 0 = 28*f + 223 - 2267. Calculate the remainder when f is divided by h(-4).
35
Suppose -9*q + 16*q = 175. What is the remainder when q is divided by 13?
12
Suppose y - 354 = 162. Suppose -3*c - y = -7*c. What is the remainder when c is divided by 22?
19
Suppose -5*t + 5*s = -355, -4*t - 5*s + 0*s = -239. Let k = 56 - 33. Calculate the remainder when t is divided by k.
20
Let s = 429 - 311. What is the remainder when s is divided by 40?
38
Let u(y) = y + 13. Let i be (-14)/5 - 12/60. Let q(b) = -2*b + 7. Calculate the remainder when u(10) is divided by q(i).
10
Let h(o) = 4 + 2*o**2 - 6*o**2 + o**3 + 2*o + 0*o**2. Let x be h(3). Let n(b) = 13*b**2 + b - 1. What is the remainder when 51 is divided by n(x)?
12
Suppose 0 = -5*k + i + 2 + 100, k - 22 = i. Calculate the remainder when 140 + (1 - (0 - -3)) is divided by k.
18
Let q(i) = -2*i**2 + 3*i - 4 + i**2 - 4 + 5 + i**3. Let o(w) = 3*w + 3. Calculate the remainder when q(4) is divided by o(4).
12
Let v be -1 + -1 + -8 + 2. Calculate the remainder when 7 is divided by (-32)/v - (-2)/(-2).
1
Let l(f) = 5*f + 2. Let v be l(1). Let m = 100 + v. What is the remainder when m is divided by 36?
35
Let z(g) = 10*g + 162. What is the remainder when z(-14) is divided by 9?
4
Suppose 5*z - 46 = 20*a - 22*a, -12 = 3*z. What is the remainder when a is divided by 21?
12
Let d(h) = -h**2 - 5*h - 3. Suppose m = 11 + 8. Suppose 5*z + n = -m, -4*z - 28 + 8 = 2*n. What is the remainder when 8 is divided by d(z)?
2
Suppose 48*d = 16*d + 832. Calculate the remainder when d is divided by 4.
2
Suppose -5*v + 4*t + 544 = 0, 3*v + 4*t = 2*v + 128. What is the remainder when v is divided by 57?
55
Let v(m) = 5*m + 52. What is the remainder when 67 is divided by v(-9)?
4
Let w(b) = b**3 + 15*b**2 + b + 29. Calculate the remainder when 65 is divided by w(-15).
9
Let h(q) = q**3 - q**2 - 6*q - 9. What is the remainder when h(7) is divided by 61?
60
Suppose 1 = 5*p - 6*p. Suppose -38 = -q - 3*q + 5*h, 0 = 2*h + 4. What is the remainder when p/(-5) + 318/10 is divided by q?
4
Suppose 7 + 9 = 4*l. Let i(g) = g - 4. Let w be i(-6). Let k = 4 - w. Calculate the remainder when k is divided by l.
2
Let u(d) = -5*d - 39. Let f be u(-12). Let n = 149 + f. What is the remainder when n is divided by 19?
18
Suppose -3*t - 4*o + 442 = 0, -t + 4*o + 156 = o. What is the remainder when t is divided by 38?
36
Let k(n) = n**3 + 13*n**2 + 5*n - 4. Let f be k(-6). Suppose -c + f = c. Suppose v = 2*v - c. Calculate the remainder when v is divided by 28.
25
Let b = -309 - -318. What is the remainder when 13 is divided by b?
4
Let s(u) = 2*u**3 + 4*u**2 - 2*u - 7. Let y be s(-3). Let h = y + 35. Calculate the remainder when 30 is divided by h.
14
Calculate the remainder when 21/49 + (6 - (-8948)/28) is divided by 33.
29
Let r(f) = 8*f - 1. Let i be r(1). Let k(m) be the second derivative of 2*m**3/3 - 7*m**2/2 - 2*m - 17. Calculate the remainder when k(i) is divided by 8.
5
Let w = -52 + -57. Let k = 127 + w. What is the remainder when k is divided by 7?
4
Let t = -314 + 436. Calculate the remainder when 4023 is divided by t.
119
Suppose -3*d - 14 = -10*d. Suppose d*q + 11 = 3*f - 32, 4*q + 9 = -f. What is the remainder when 39 is divided by f?
6
Let g = -150 - -386. Calculate the remainder when g is divided by 40.
36
Suppose 4*w = -3*d - 10, 2*d + w = 3*d - 6. Suppose 5*a = d*a + 39. What is the remainder when 51 is divided by a?
12
Let d = -18 - -42. Let k be -1 + 4 + 1*d. What is the remainder when 98 is divided by -1*(0 + 2) + k?
23
Let l = 312 + -299. What is the remainder when 23 is divided by l?
10
Let l = -459 - -1433. What is the remainder when l is divided by 65?
64
Let m = -22 + 140. What is the remainder when m is divided by 15?
13
Let w = 2 - -23. Let h = -9 + w. Calculate the remainder when 30 is divided by h.
14
Suppose 0 = 5*u + 5*z - 340, 3*z - 45 = -u + 23. Calculate the remainder when 125 is divided by u.
57
Let n = 305 + -302. What is the remainder when ((-28)/(-6))/((-2)/(-3)) is divided by n?
1
Let n(q) = 3*q**2 - 3*q + 2. Let j be n(4). Let g = 69 - j. Let s = 307 + -186. Calculate the remainder when s is divided by g.
28
Let l = 54 + -69. Calculate the remainder when (l/12)/((-6)/288) is divided by 17.
9
Suppose 62 = 6*p - 88. Let n(m) = -m + 99. Calculate the remainder when n(0) is divided by p.
24
Suppose -263 - 801 = -7*u. Calculate the remainder when u is divided by 51.
50
Suppose 0 = m + 3*q - 32, -5*q + 56 = 2*m - q. Suppose 2*x - 84 = s, 4*x = 4*s + 2*x + 318. Let z = 156 + s. Calculate the remainder when z is divided by m.
18
Let s be (72/(-63))/((-2)/7). Suppose -68 = -4*o + s*z, 0*o - 5*o - z = -103. Calculate the remainder when 33 is divided by o.
13
Let i(w) = w**2 + 9*w - 15. Let q be i(-11). What is the remainder when (q/((-28)/680))/(-2) is divided by 29?
27
Suppose 39 = 4*x + 15. Suppose 0 = -11*t - x*t + 102. Calculate the remainder when 58 is divided by t.
4
Suppose -2*x + 230 = -2*s, 3*x - 4*s - 389 + 39 = 0. What is the remainder when x is divided by 39?
32
Let i be (-9652)/18 + (-5 - 94/(-18)). Calculate the remainder when i/(-32) - 4/(-16) is divided by 5.
2
Suppose 5*w - 16 = 4*w. Suppose -2*j = -3*f + 95 + 31, f - 53 = -3*j. What is the remainder when f is divided by w?
12
Let r = 57 - 74. Let z = r - -37. Calculate the remainder when z is divided by 13.
7
Let r(t) = -t + 21. Let x be r(-5). Suppose -25*z = -x*z + 108. What is the remainder when z is divided by 37?
34
What is the remainder when (-1 + 6)/(34/714) is divided by 53?
52
Suppose 0 = 2*c - 12*k + 9*k - 6, -6 = -2*c - 2*k. Let z(b) = b**3 + 9*b**2 + 4*b + 11. Calculate