 Suppose -i + b = i. Calculate the remainder when i is divided by 26.
23
Let l be 4/(-8) - 17303/26. Let j = l - -692. What is the remainder when 857 is divided by j?
25
Let y(l) = l**3 + 21*l**2 + 15*l - 38. Let g(p) = p**2 + 4*p - 9. Let q be g(-13). Suppose -4*u - 72 = -q. What is the remainder when y(-20) is divided by u?
8
Suppose 15*o - 372 - 648 = 0. What is the remainder when o is divided by 33?
2
Suppose -95*x + 6412 = -1928 + 550. Calculate the remainder when x is divided by 3.
1
Suppose -639 = -3*q - 3*r + 1152, -2*q - 5*r = -1170. Calculate the remainder when q is divided by 51.
44
Calculate the remainder when 214 is divided by -3*1*(-8)/18*(-16173)/(-1198).
16
Let m be 10/3 + (-1)/((-15)/10). Suppose m*p + 0 = 8. Calculate the remainder when (2 - (6 + -2 - p)) + 25 is divided by 14.
11
Suppose -6*o + 12 = -2*o. Let z(v) = 6 - 2*v**3 + v**o - 7*v + 52*v**2 - 44*v**2. What is the remainder when z(4) is divided by 11?
9
Let a = -3259 - -3306. Calculate the remainder when 90 is divided by a.
43
Suppose 0 = 4*q + 14 - 150. Suppose 3*n - q*n = -10664. Calculate the remainder when n is divided by 58.
54
Let t = 554 + -231. Let i = t - 308. What is the remainder when 116 is divided by i?
11
Let d(y) = 203*y**3 - y**2 - 2*y - 14. Calculate the remainder when d(3) is divided by 19.
18
Let b = 1317 + -592. Suppose -20*p - b = -25*p. What is the remainder when p is divided by 7?
5
Let x(w) = w**3 + 26*w**2 - w + 45. Suppose 60 = 26*r - 44. What is the remainder when x(-26) is divided by r?
3
Suppose 53*o - 45*o - 1432 = 0. What is the remainder when 371 is divided by o?
13
Let i(d) = -d**3 - 31*d**2 - 31*d - 15. Let t be (5 - 30/(-4))*12/(-5). Calculate the remainder when i(t) is divided by (-1)/(46/16 - 3).
7
Suppose 0 = -6*v + 5011 + 6845. Calculate the remainder when v is divided by 33.
29
Suppose -w + 1951 = 3*i, -1978 - 632 = -4*i + 3*w. Calculate the remainder when i is divided by 49.
14
Let b = 5849 - 5843. Calculate the remainder when 52 is divided by b.
4
Suppose i = 4*i + 30. What is the remainder when 32 is divided by (-25)/(7 + -8) - i/(-2)?
12
Let j = 11403 - 11325. What is the remainder when j is divided by 54?
24
Let a(x) = -3*x + 30. Let d be a(0). Suppose -2*c - 14 + d = 0. What is the remainder when 53/(-6 + (11 - 4)) is divided by c?
5
Let f(k) = 8*k + 55. Let z be f(-16). Let t = 164 + z. Suppose -54 = -3*a + 2*q, -4*a = 3*q - q - 58. Calculate the remainder when t is divided by a.
11
Let x(f) = 16*f**2 - 14*f + 24. Let t be 15/10*(-4)/(-3). Calculate the remainder when x(t) is divided by 16.
12
Suppose 33*o - 39*o = -348. Suppose -2*t = -1 - 9. Suppose -2*m = t*m - 84. Calculate the remainder when o is divided by m.
10
Let k be ((-3)/(-1) - 0)/((-2)/(-270)). Suppose -5*r = 5*o - k, -4*o + 5*o - r = 71. Suppose -o = -i - 3*i. What is the remainder when 112 is divided by i?
17
Suppose -2847*s + 37157 = -2774*s. Calculate the remainder when s is divided by 30.
29
Let t(w) = -49*w - 1141. Calculate the remainder when 549 is divided by t(-25).
45
Let q = 288 + -6. Let x = q - 253. Let i(a) = -a**2 - 10*a - 7. What is the remainder when x is divided by i(-6)?
12
Let f = -34 + 58. Suppose 0 = 2*b - 5*m - 52, -69*b + 71*b + 5*m = 12. What is the remainder when f is divided by b?
8
Let v = 4243 + -3715. What is the remainder when v is divided by 11?
0
Suppose 3*r + 193*r - 74379 + 14991 = 0. What is the remainder when 857 is divided by r?
251
Let g(z) = 434*z - 684. Calculate the remainder when g(2) is divided by 50.
34
Let g = 612 + 143. Suppose 0 = 124*c - 119*c - g. What is the remainder when c is divided by 43?
22
Calculate the remainder when ((-23374)/1885)/((-2)/365) is divided by 564.
7
Let k = 347 + -109. Suppose 39*a - k = 25*a. What is the remainder when 132 is divided by a?
13
Suppose -5*i - 5*f = -55, 5*f - 7*f - 14 = -2*i. Let q(p) = -17*p + 1. Let y = -5 - -3. Calculate the remainder when q(y) is divided by i.
8
Suppose -8 = s - 2. Let b = 376 - 343. What is the remainder when b is divided by ((5 - 3) + -5)*s?
15
Let o be (-5)/(45/132)*-3. Let m(i) = -82*i**3 + i**2 + 45 + 2*i + i - o. Calculate the remainder when m(-1) is divided by 21.
18
Suppose 0 = 25*z - 38*z + 21342 + 433. What is the remainder when 5031 is divided by z?
6
Let k = 17419 + -17029. Calculate the remainder when k is divided by 144.
102
What is the remainder when 8427 is divided by 34 + 0 - (-72 - -63)?
42
Let u = 5030 - 4978. Suppose 5*g + 3*h - 2358 + 633 = 0, -g = 5*h - 323. Let s = g - 89. What is the remainder when s is divided by u?
51
Suppose -56*y + 61*y + 55 = 0. Let h = 887 - y. What is the remainder when h is divided by 53?
50
Suppose -4*i = 3 - 3. Suppose 0 = -3*y + 3*r + 3, i = 2*y + 3*r - 6*r + 2. What is the remainder when 28 is divided by y?
3
Suppose 0 = 977*k - 972*k - 85. Let z(u) = 28*u - 193. Calculate the remainder when k is divided by z(7).
2
Suppose -94*i + 5932 = 950. Calculate the remainder when 4184 is divided by i.
50
Let k(y) be the third derivative of y**5/15 - 13*y**4/12 - 2*y**3/3 + 118*y**2. What is the remainder when 174 is divided by k(8)?
42
Suppose -2*h + 4*f + 92 = 0, 5*h + 3*f = -f + 244. Let q = 218 - -67. Let k = q - 258. What is the remainder when h is divided by k?
21
Suppose -z + 2*u = -368, 5*z = 9*z + u - 1517. Suppose -7*g + g = -z. Calculate the remainder when g is divided by 15.
3
Let t(z) = -50*z**3 + 2*z**2 + 2*z. Let x = 158 - 96. Suppose -18 + x = 3*j - g, 2*j = 5*g + 51. Calculate the remainder when t(-1) is divided by j.
11
Suppose -7*g + 25 = -2*g. Suppose 0 = -g*b - 32 + 2. Calculate the remainder when b/8*(7 - 3) - -197 is divided by 49.
47
Suppose -4*x + 142 = -5*g, 6*g = -3*x + g + 124. What is the remainder when (-8)/(-40) - -929*2/10 is divided by x?
34
Let t(f) = -32*f + 983. What is the remainder when t(17) is divided by 11?
10
Suppose -19*n - 16*n = -3*n - 448. Calculate the remainder when 755 is divided by n.
13
Let y(t) = -t**3 - 8*t**2 + 7*t + 70. Calculate the remainder when y(-13) is divided by 33.
32
Let o(f) = -22*f + 3007. What is the remainder when o(124) is divided by 40?
39
Let t = -125 + 272. Let n(w) = 17*w**2 + 640*w + 1283. What is the remainder when t is divided by n(-2)?
5
Let x(u) = -305*u + 3385. What is the remainder when 1617 is divided by x(11)?
27
Calculate the remainder when 1777 + 9/45*-85 is divided by 104.
96
Let r = -162 - -160. What is the remainder when (-4)/r - (-23 - (3 - 3)) is divided by 9 - (2 - 3) - 1?
7
Let m = 1 - 1. Suppose m = t + 6 - 25. Let w(o) = o + 26. Calculate the remainder when w(18) is divided by t.
6
Let j = 41 - 44. Calculate the remainder when 0/(8/(-4)) + j + 40 is divided by 15.
7
Suppose 59 + 51 = 5*a - 2*d, 4*d - 20 = -2*a. Let k(s) = s**3 + 6*s**2 + 5*s + 4. Calculate the remainder when k(-4) is divided by (4/8)/(2/a) + 8.
3
Suppose -4*n - j = 3*j - 564, -4*n + 2*j + 552 = 0. Let b = -246 + 516. Suppose 82 = -4*a + b. Calculate the remainder when n is divided by a.
45
Let d = 57519 - 45691. Calculate the remainder when d is divided by 35.
33
Let y = -409 - -401. What is the remainder when 347 is divided by (30/(-5) - -84) + y?
67
Let r(b) = -808*b + 106. Let a(c) = -405*c + 52. Let i(g) = -11*a(g) + 6*r(g). What is the remainder when i(-1) is divided by 115?
112
Let i(r) = 82*r**2 + 20*r + 2. Let h be i(-5). Suppose -64*f = -56*f - h. What is the remainder when f is divided by 49?
48
Suppose 2*x + 9*t - 1346 = 11*t, -3*t = 5*x - 3349. Calculate the remainder when x is divided by 85.
76
Suppose 569 + 10217 = 2*m - 4*b, -4*m + 5*b + 21578 = 0. Calculate the remainder when m is divided by 1799.
0
Suppose k = c - 125, -3*k = c - 123 - 14. Calculate the remainder when c is divided by 100.
28
Let y(i) = i**3 + i**2 - i + 31. Suppose d = -n + 112, 48 + 152 = 2*n - 4*d. Let x = 108 - n. What is the remainder when 60 is divided by y(x)?
29
Let t(z) = 14*z + 1. Let u be (-1)/(-2) + 2/4. Calculate the remainder when 26*(-1)/(-3)*(-8 + 11) is divided by t(u).
11
Let b(q) = -q**3 + 9*q**2 + 11*q - 15. Let u be b(10). What is the remainder when 53 is divided by (-22)/(-4) + 0 + u/(-10)?
5
Let b(d) = -6*d + 29 + 4*d**2 - 5*d**2 - d. Let k be b(5). Calculate the remainder when 2*(-1 - k - 6/(-12)) is divided by 22.
17
Let t(c) = -c**2 - 12