i + 25*i - 206, -3*a - j*i = -313. What is the remainder when a is divided by 6?
5
Let o(g) = g**3 - 3*g**2 - 2*g - 1. Suppose -7*a = 9*a - 480. Suppose 32*q - a = 354. Calculate the remainder when q is divided by o(4).
5
Suppose m - 83 = -81. Suppose 3*r = m*r + 5. What is the remainder when 14 is divided by r?
4
Calculate the remainder when 64/3*(3 - 244/16)*-3 is divided by 4.
0
Let o be (-4)/(-8)*9*(7 - 17). What is the remainder when o/(-150) - 2237/(-10) is divided by 75?
74
Let h(t) = 111*t**2 - t + 224. Calculate the remainder when h(-5) is divided by 32.
28
Suppose -29*j = -74 - 4479. Calculate the remainder when 465 is divided by j.
151
Suppose 3*l + l = -16. Let i be (l + (-235)/(-15))/(1/(-3)). Let o = 87 + i. What is the remainder when 204 is divided by o?
48
Suppose -3*j + 5*j = 566. Let w = -377 + 395. Let t(n) = 2*n - 10. Calculate the remainder when j is divided by t(w).
23
Let i(o) = 2*o**3 - 8*o**2 + 2*o + 1. Suppose -t + 19 = -6. Suppose w + 4*w = 5*s + t, -5*w - 4*s = -34. What is the remainder when i(w) is divided by 32?
29
Let z = 15908 - 15775. Calculate the remainder when 681 is divided by z.
16
Let l = 6200 - 6154. Calculate the remainder when 736 is divided by l.
0
Let b = 3653 + -3506. Calculate the remainder when 630 is divided by b.
42
Let g = 23055 + -22496. What is the remainder when g is divided by 168?
55
Calculate the remainder when (-10)/5*(14 - (2239 - 1)) is divided by 37.
8
Let w = -12858 - -22952. What is the remainder when w is divided by 153?
149
Let s(l) = -l**2 - 4*l + 55. Let u(t) = t**2 - 7*t + 13. What is the remainder when u(7) is divided by s(-9)?
3
Suppose -4*o + o = 3*i - 321, -4*o = -4*i - 396. What is the remainder when 409 is divided by o?
100
Suppose 9*m + 1747 = -602. Let g = m - -392. Calculate the remainder when g is divided by 67.
64
What is the remainder when 2385 is divided by (-3)/((28/2002*33)/(-5 - -1))?
19
Suppose -11 = -2*j + 19. Let h(u) = u**2 - 5*u - 39. Let c be 116/12 + 2 + (-4)/6. Calculate the remainder when h(c) is divided by j.
12
What is the remainder when 45/(108/(-12)) + 1196 is divided by 51?
18
Let d(h) = 1250*h**2 + 31*h - 10. What is the remainder when d(-1) is divided by 12?
9
Suppose -s + 2598 = -4*r + 3322, -3*s = -3*r + 525. Calculate the remainder when r is divided by 31.
28
Let r = -3540 - -3547. What is the remainder when 734 is divided by r?
6
Suppose 0 = -486*a + 469*a + 528734. What is the remainder when a is divided by 54?
52
Let z = 5 - 5. Suppose z = 4*n - 4*b - 280, -5*b + 4*b - 338 = -5*n. What is the remainder when n is divided by 12?
7
Let p = -3956 - -4054. Calculate the remainder when p is divided by 56.
42
Suppose -1099*n + 1100*n - 5*g = 123, n - 150 = -4*g. Calculate the remainder when 284 is divided by n.
8
Suppose -8295 + 32501 = 26*n. What is the remainder when n is divided by 43?
28
Let w = -802 + 1080. Calculate the remainder when w is divided by 74.
56
Let i(m) = 30*m**3 + 2*m**2 - 1. Let g = -416 + 425. What is the remainder when i(1) is divided by g?
4
Let d(n) = -5*n + 178. Suppose -99 = -3*g + 3. What is the remainder when d(g) is divided by 2?
0
Let o(h) = 11*h**2 + 5*h + 9. Suppose 0*r = 2*r - 2*v - 98, -3*r + 2*v = -150. Calculate the remainder when o(4) is divided by r.
49
Let g = 268 + -200. Calculate the remainder when (-3 - (0 + -5)) + g is divided by 42.
28
Let x = 7874 + -7765. Suppose 8 = -4*w - 0*w, -5*q - 4*w - 193 = 0. Let y = -23 - q. Calculate the remainder when x is divided by y.
11
Let k = 332 + -229. Calculate the remainder when (160/(-25))/(-3 - k/(-35)) is divided by 62.
50
Suppose 5*h - 12 = h. Suppose -87*s + 60*s = -891. Suppose b - s = -4*m, -154 = -h*b - 5*m - 48. Calculate the remainder when b is divided by 22.
15
Let o = 118 + -55. Let u = -30 + o. What is the remainder when u is divided by 20?
13
Suppose o - 5088 = -847*o. What is the remainder when 3/(1/(7 + 0)) is divided by o?
3
Let y = 113 + -161. Let p = 502 - 504. What is the remainder when (y*4 - 2)/(p - 0) is divided by 25?
22
Let y(k) = -2*k**2 - 18*k - 23. Let d be y(-7). Suppose 2*w + 0*w - 4*z = 64, 4*w = d*z + 119. What is the remainder when 125 is divided by w?
21
Suppose -a - 5*b = -81, 9*a = 13*a + 3*b - 341. Calculate the remainder when 486 is divided by a.
56
Suppose 0 = -2*x - 3*u + 89, -4*x - 39*u + 150 = -37*u. Calculate the remainder when 963 is divided by x.
11
Let s(u) = -u**3 + 7*u**2 + 13*u - 15. Let b be (-3 - -2) + 8 + -5 - -130. Let q = -61 + b. Calculate the remainder when q is divided by s(8).
21
Let k(v) = -19*v - 148. Suppose 10*c = 13*c - 123. Calculate the remainder when k(-14) is divided by c.
36
Let n(r) = r**3 - 3*r**2 - 1. Suppose 0 = -3*s + 2*w - 5*w - 6, -2*s - w + 1 = 0. Suppose -s*t + 35 = -43. Calculate the remainder when n(5) is divided by t.
23
Let v be ((-12)/(-3))/((-42)/(-9) - 4). Suppose -v*x + 3 = -3*x, c = 4*x + 8. Calculate the remainder when c is divided by 0 - ((-8 - -2) + 4).
0
Suppose 180*b + 102 = 186*b. Suppose -t = -467 + 27. What is the remainder when t is divided by b?
15
Suppose 937 = 2*c + s - 622, 3*c = -2*s + 2342. What is the remainder when c is divided by 40?
16
Let p = 602 + -549. Let n(i) = -2*i - 4. What is the remainder when p is divided by n(-14)?
5
Suppose 38*q - 5196 + 1434 = 0. What is the remainder when 376 is divided by q?
79
Let g(d) be the second derivative of -d**5/20 + d**4/4 + 7*d**3/6 + 6*d**2 - 7*d. Let w = 54 + 16. Calculate the remainder when w is divided by g(-2).
16
Suppose 106 = -77*w + 79*w + 3*r, -4*r + 244 = 5*w. Calculate the remainder when 146 is divided by w.
14
Suppose -13 + 3 = -y. Let l = 3 - 38. Let m = l + 73. What is the remainder when m is divided by y?
8
Suppose l + 856 - 64 = 0. What is the remainder when 57 is divided by 2/(-6) - l/27?
28
Let j = -9 + 19. Suppose 6*x = 8*x - 10. Suppose 5*g + 8 = x*p - 47, -3*g = 4*p - 65. Calculate the remainder when p is divided by j.
4
Calculate the remainder when 7 - (18/9 - 497) is divided by (-4 + 6)/(4/84).
40
Let l = 25 + -25. Let m(g) = 35*g + 62. Calculate the remainder when m(l) is divided by 17.
11
Suppose 13*j = 10*j + 15. Calculate the remainder when -10 + j + 29 - 2 is divided by 12.
10
Let d be (-8 - 30/(-6)) + -3. Calculate the remainder when (-6)/9 + (-388)/(-6) is divided by d + 1 + (-4 - -5) + 26.
20
Let f(i) = -i**3 - 53*i**2 - 701*i - 110. Calculate the remainder when 331 is divided by f(-23).
45
Let r(z) = -171*z. Suppose 4*a - 16 = 4*w, 3*a - 3 = 5*w + 19. Calculate the remainder when r(w) is divided by 66.
63
Let t(s) = 0*s - 2339 + 2283 + s - 6*s. What is the remainder when t(-31) is divided by 27?
18
Suppose -1418 - 6719 = -47*p + 26173. Calculate the remainder when p is divided by 191.
157
Let r = 3251 + -2955. What is the remainder when r is divided by 80?
56
Suppose 4*f + 4*w - 1440 = 0, 5*w = -2*f + 792 - 66. Calculate the remainder when f is divided by 72.
70
Suppose -797 + 316 = -12*d + 515. Calculate the remainder when 1904 is divided by d.
78
Suppose 25*v - 26*v = -17. Suppose -3*l - 12 = -6*l. Suppose -6 = -3*t, l*g - 3*t = -t + 188. What is the remainder when g is divided by v?
14
Suppose 4*f = 0, 5*v + 5*f - 770 = f. Let t(x) = -17*x + 5. Let z = 35 + -37. Calculate the remainder when v is divided by t(z).
37
Suppose 3*v = -3*a - 15, 4*v = a + 19 - 49. Let u be v/((-21)/12) - (-2)/(-2). Calculate the remainder when 119 is divided by (-2 + 1)*(u - 44).
37
Let u(f) = -f + 58. Let d be ((-28)/(-7))/(-40) + (-118)/20. Calculate the remainder when u(d) is divided by 13.
12
Suppose -697*s - 32 = -698*s. What is the remainder when (-14 - -8)*(2 - (-192)/(-9)) is divided by s?
20
Suppose -42*y + 1563 + 873 = 0. Calculate the remainder when 453 is divided by y.
47
Suppose 3*g - 143 = 2*m, -88 = -4*g + 2*m + 102. What is the remainder when g is divided by 43?
4
Suppose 377 = 3*l + 2*z, 0 = -4*l - l + 2*z + 623. Let a(p) = -p**2 + 1071*p - 5304. Calculate the remainder when l is divided by a(5).
21
Suppose -41*n - 2193 = -92*n. Suppose 0 = -5*b - 0*b. Suppose -72 = -5*f - 3*j, b = 3*f - 8*j + 3*j - 50. Calculate the remainder when n is divided by f.
13
Let x(b) = -b**2 - 12*b - 3. Suppose -2*q = -8, 10*t + q + 6 = 9*t. What is the remainder when 202 is divided by x(t)?
15
Calculate the