e 510*i = 488*i + 2799 - 27. Calculate the remainder when i is divided by 112.
14
Suppose -10*u - 104 = -234. Calculate the remainder when (10 + -14)*25/(-4) is divided by u.
12
Let q(n) = -n**2 + 13*n + 18. Suppose 4*l - 18*l = -140. Suppose -4*v = -42 - l. What is the remainder when 66 is divided by q(v)?
12
Let o = -15301 - -15310. What is the remainder when 188 is divided by o?
8
Let n = 121 + -116. Let s(v) = 12*v**2 - 51*v - 5. Calculate the remainder when 719 is divided by s(n).
39
Suppose 87*h + 145 + 29 = 0. Let q = 22 + -32. Let f = h - q. Calculate the remainder when 23 is divided by f.
7
What is the remainder when 513 is divided by -100*4/(-8) - 7?
40
Suppose -58*u = -208*u + 18000. What is the remainder when 1232 is divided by u?
32
Suppose 165813 = 100*b - 311387. What is the remainder when b is divided by 22?
20
Suppose 0 = -15*m + 8 + 22. Suppose -3 + 2 = i + r, -35 = -5*i + 3*r. What is the remainder when (-2 + i)/m - -60 is divided by 8?
5
Let o = -131 + 116. Let l(p) = -p**2 - 17*p + 9. Calculate the remainder when 148 is divided by l(o).
31
Calculate the remainder when (-2550)/(-99)*18 + (-72)/(-198) is divided by 36.
32
Let x(r) = -r**3 + 15*r**2 + 34*r + 5. Let y be x(17). Suppose -2*k + 282 = -2*s, -s - 3*s = -y*k + 705. What is the remainder when k is divided by 73?
68
Suppose -4*q = -q + 5*g - 57, -47 = -4*q + 3*g. Suppose -d - q = -5*w, 4*w - 13 - 7 = 3*d. Calculate the remainder when 88 is divided by 15/(w - 1) - (-8)/(-4).
10
Suppose 70 = y + 5*o, -o + 0*o + 280 = 4*y. Suppose 5*q + 2 = 6*q. Calculate the remainder when y is divided by (99/18 - (-1)/q)*6.
34
Let y(q) = -12*q + 56. Let u be y(26). Let v = u - -326. What is the remainder when 206 is divided by v?
66
Let i = 18967 + -13647. What is the remainder when i is divided by 11?
7
Let g = 1564 + -1532. Let x = 17 + -17. What is the remainder when g is divided by 1 - ((-19 - -2) + x)?
14
Suppose 5*j = r + 8, 22 = 3*r - 2*r + 5*j. Let w(d) = 13*d + 766. What is the remainder when w(-57) is divided by r?
4
Suppose 5*l - 4*i = 113, -2*l - 4*i + 23 + 11 = 0. Suppose 9*g - 42 = l. What is the remainder when 25 is divided by g?
4
Let s(z) = z**3 - 13*z**2 + 12*z - 3. Let i be s(12). What is the remainder when 27 - (-5 + 5 + i) is divided by (-220)/(-14) - 2/(-7)?
14
Let s(a) = -a**3 - 22*a**2 - 15*a - 22. Let o be s(-22). Suppose -23*l = -45*l + o. What is the remainder when 67 is divided by l?
11
Suppose 3*d = 6*v - 4*v - 20, 0 = 5*v + 10. What is the remainder when -1 + 235 + -3 + 7 + d is divided by 58?
56
Suppose 0 = 7*h + 365 - 57. Let j = -36 - h. What is the remainder when 239 is divided by j?
7
Let w = 204 + -191. Suppose -w*q - 24 = -16*q. Calculate the remainder when 95 is divided by q.
7
Let b(y) = 4*y**2 + 26*y + 30. Let f be b(-18). Let o be 5/(-2)*8/(-10). Calculate the remainder when 84 is divided by f/30 - (o + 24/(-10)).
26
Let v(c) = c**2 - 21*c - 17. Let w be v(22). Suppose -w*f + 180 = -0*f. What is the remainder when f is divided by ((-2)/6 + 0)*-57?
17
Let v(j) = 679*j**2 + 159*j + 543. What is the remainder when v(-6) is divided by 11?
9
Let x = -38582 + 38915. What is the remainder when x is divided by 325?
8
Let u(s) = s - 4. Let a be u(9). Suppose 4*r = -a*f + 403, 2*f - f + 112 = r. Calculate the remainder when r is divided by 5/(15/28)*3.
23
Suppose -2*t + 4*d + 277 = 23, 0 = 2*t + 5*d - 299. Calculate the remainder when t is divided by 58.
21
Calculate the remainder when 1942 is divided by (261/174)/((-1)/2) + 7.
2
Let w(l) = 124*l - 6549. Suppose d + o = -0*o + 13, 4*d = 3*o + 52. Calculate the remainder when w(53) is divided by d.
10
Suppose 3*y - n - 2135 = -2*n, 2111 = 3*y - 2*n. Calculate the remainder when y is divided by 30.
19
Suppose -2383*k + 2394*k - 1287 = 0. What is the remainder when k is divided by 7?
5
Suppose 593 = 2*j + 5*x, 3*j - 3*x - 1111 = -253. Calculate the remainder when j is divided by 21.
16
Suppose 21*f = 3*f - 864. Let v(x) = -x**3 - 49*x**2 - 46*x + 148. What is the remainder when v(f) is divided by 2?
0
Let x be (-7 - -2 - -6)*2*122. Let h = 327 - x. Calculate the remainder when h is divided by 22.
17
Let c(n) = 6*n**2 - 6*n + 1. Let q(h) = -h**2 - h - 1. Suppose -5*s - 4 - 1 = 0. Let p(x) = s*c(x) - 5*q(x). What is the remainder when 67 is divided by p(10)?
11
Suppose -30 = -5*a + 5*k, 35*k - 20 = -3*a + 39*k. Suppose -32*h - a*b - 144 = -36*h, 3*b = -9. Calculate the remainder when 64 is divided by h.
31
What is the remainder when 2/(-3)*(-23736)/46 is divided by 155?
34
Let g = -36523 + 37782. What is the remainder when g is divided by 102?
35
Let y be -3 - -3 - 0/3. Let i = 3 - y. Suppose -20 = i*d - 4*d. What is the remainder when 78 is divided by d?
18
Suppose v + 2366 = -4*i + 684, -v = -5*i - 2098. Let u(z) = -z**2 - z + 47. What is the remainder when u(0) is divided by (i/9)/(-5) - (-4)/6?
7
Let t = 67 + -311. Let x = t - -281. What is the remainder when (0 - 3/(-1))*23 is divided by x?
32
Let o(k) = -k**3 + 177*k**2 - 689*k + 48. Calculate the remainder when o(173) is divided by 7.
0
Suppose -b + 1 = -3*b + w, -5*b + 4*w + 5 = 0. Let h be b/(68/(-56) - 6/21). What is the remainder when 10 is divided by (1 - (-1 + h)) + 3?
1
Let g = -901 + 1276. Let i = g + -354. Calculate the remainder when 63 is divided by i.
0
Suppose w + 2448 = 4*o, -7*o + 5*o = -w - 1224. Suppose -6*m - 102 + o = 0. Calculate the remainder when m is divided by 31.
23
Let q(g) = -g**2 - 5*g + 613. Calculate the remainder when 4685 is divided by q(-26).
62
Let m = 12572 + -10815. Calculate the remainder when m is divided by 12.
5
Let v(k) = -16*k + 25. Suppose 0 = -5*p + 11 - 31. What is the remainder when v(p) is divided by 13?
11
Let m = -30574 - -30675. Calculate the remainder when 2335 is divided by m.
12
Let u(q) = q**3 + 8*q**2 + 4*q + 34. Let v be u(-8). What is the remainder when v/10 - (-2898)/35 is divided by 14?
13
Let r(f) = -f**2 + 17*f - 16. Let b(m) = -2*m + 3. Let x be b(-6). Let d be r(x). Suppose -259 = -5*n - d. What is the remainder when n is divided by 26?
23
Let c = 148 - -871. What is the remainder when c is divided by (-925)/(-75) + -1*2/6?
11
Suppose -3*t + 4*t - 488 = -4*w, 0 = 4*w - 2*t - 500. Calculate the remainder when w is divided by 35.
18
Let s = 156 + 203. Suppose 93 - s = 7*r. Let b = r - -40. Calculate the remainder when b is divided by 1.
0
Let b = 202 + -200. Suppose -j = a + a - 149, 3*j = -b*a + 463. Suppose c + 201 = 7*w - 2*w, 4*w + 4*c = 156. Calculate the remainder when j is divided by w.
37
Suppose -4*r + 3*r - 7 = 4*z, -z + 23 = 3*r. Suppose -27 = r*i - 126. Calculate the remainder when 37 is divided by i.
4
Let q(w) be the third derivative of -w**6/120 + w**5/20 + 19*w**4/24 - 4*w**3/3 + 2*w**2 + 41. What is the remainder when q(5) is divided by 10?
7
Suppose 4*w = 0, w = -2*i + 409 + 155. Calculate the remainder when i is divided by 12.
6
Let p = 1677 + -1662. Calculate the remainder when 2262 is divided by p.
12
Let u(d) = -633*d**3 - 4*d**2 - 14*d - 9. Calculate the remainder when u(-1) is divided by 294.
46
Suppose -25*l + 30*l = -1900. Let z = l - -436. Calculate the remainder when z is divided by (-2)/(-3)*(-174)/(-4).
27
Suppose 22*p - 17*p = 460. Let h = -148 + 266. Let i = h - p. What is the remainder when 102 is divided by i?
24
Let d = 1089 + -980. Suppose 0 = 4*m + m - 50. Calculate the remainder when d is divided by m.
9
Let m = -50 - -68. Suppose -109 = -18*d + 1979. What is the remainder when d is divided by m?
8
Suppose -2*f + 16*f = 420. Suppose -11*p - f = -12*p. What is the remainder when 110 is divided by p?
20
Let a(s) = -2*s**2 - 11*s + 155. Let n be a(-17). What is the remainder when 10/(-4)*n/10 is divided by 12?
11
Let p = -23908 - -35223. Calculate the remainder when p is divided by 123.
122
Let d(c) = 3*c**2 + 125*c - 33. What is the remainder when d(-52) is divided by 316?
315
Let l = -3687 + 3727. What is the remainder when 154 is divided by l?
34
Suppose 20*z - 10*z = -4*z + 1064. What is the remainder when 1135 is divided by z?
71
Let s = 397 + 50. Let x be 2/(-10) + s/(-15). Calculate the remainder when x/((-8)/20 + 0) is divided by 6.
3
Suppose -5*v + 55 = 3*t, -8*t - 5*v = -9*t + 5. Suppose 10*n - 550 = -t*n. What is the remainder when n is divid