 by z.
27
Let o = -338 + 125. Let r(v) = -19*v - 742. Let z be r(-33). Let t = z - o. What is the remainder when t is divided by 25?
23
Suppose 6 = -5*z - 9. Let c be (-21)/(-12) + z - (-3)/12. Let f(u) = -17*u + 1. Calculate the remainder when 88 is divided by f(c).
16
Let s(j) = -j**3 + 33*j**2 - 6*j - 171. Calculate the remainder when s(17) is divided by 64.
63
Let u = 3 + 0. Let q(i) be the third derivative of i**6/120 - 17*i**5/60 + i**4/12 - 4*i**3 - 8*i**2 + 4*i. What is the remainder when q(17) is divided by u?
1
Suppose 0 = 3*p, 0 = -5*f + 2*f - 5*p + 36. Let g(m) = 549*m + 11598. Calculate the remainder when g(-21) is divided by f.
9
Suppose 3*x + i = 3755, -5*x - i - 96 = -6357. Calculate the remainder when x is divided by 39.
5
Suppose -67*n + 25921 = -8718. What is the remainder when n is divided by 14?
13
Let z(k) = -2*k + 28. Let v be z(10). Suppose -v*f + 13*f = 10. Suppose 2*x + f*l - 67 = 29, 2*x - 86 = -4*l. What is the remainder when x is divided by 11?
9
Calculate the remainder when (980/42)/((-26)/(-1209)) is divided by 32.
29
Let r(n) = -30*n**2 + 685*n - 15. What is the remainder when r(5) is divided by 222?
218
Suppose -4*i = -5*d + 118, 10 = d + 2*i - 22. Calculate the remainder when (-456)/(-8)*(-78)/(-117) is divided by d.
12
Suppose 1295*i - 1302 = 1253*i. Calculate the remainder when 277 is divided by i.
29
Suppose 0*b - 5*b = -195. Let i(g) = g**3 - 14*g**2 + 7*g - 31. Let f be i(14). Suppose 0 = o - f - 84. What is the remainder when o is divided by b?
34
Suppose -a - 14 + 22 = 0. Suppose 2*h - 5*w - 21 = 0, -h - 47 = -5*h + 5*w. Calculate the remainder when 195/a - (-5)/120*-9 is divided by h.
11
Let y(s) = 3*s**3 + 186*s**2 + 99*s - 380. What is the remainder when y(-61) is divided by 13?
12
Suppose -3*d - 2*r + 1239 = 0, 0 = -3*r + r + 6. Suppose 42 = -d*a + 417*a. What is the remainder when 18 is divided by a?
4
What is the remainder when (-9336)/408 + 23 + 4703*(-12)/(-34) is divided by 57?
7
Let l = -101090 - -101115. Let k(h) = 22*h - 3. Calculate the remainder when k(5) is divided by l.
7
Let n(t) = t**2 + 10*t + 14. Let g be n(-6). Let i be (-12)/30*1 - 384/g. Let o = i - 4. What is the remainder when o is divided by 21?
13
Suppose -3*g - 4*y - 290 = 0, -5*y - 114 + 449 = -4*g. Let p = -88 - g. Calculate the remainder when 99 is divided by 1881/55 - p/20*2.
31
Let o = -80 - -80. Suppose 29*n - 675 - 2312 = o. Let w(x) = 5*x**2 - x - 1. What is the remainder when n is divided by w(-2)?
19
Let a = -31 - -39. Suppose a*i = 4*i + 40. Calculate the remainder when 38 is divided by i.
8
Let q be ((6/9)/1)/((-8)/204). Let y(a) = -a - 43. Let c be y(q). Let x = c - -47. Calculate the remainder when 59 is divided by x.
17
Suppose 5*h + c + 45 = 473, -2*h = 2*c - 176. Calculate the remainder when 95/(-2)*(-204)/h + -3 is divided by 7.
6
Let t(v) = -v**3 + 2*v**2 + 4*v + 3. Let z be t(5). Let u = z - -199. Calculate the remainder when u is divided by 25.
22
Suppose 3*c + 3*b = 15, -c - 4*b = 12 - 8. Suppose -12 = -4*z + c. Suppose -1 = -v + 4, 0 = -j - z*v + 36. Calculate the remainder when 23 is divided by j.
1
Calculate the remainder when 1/(-4) + 35235/348 is divided by (-18)/12 - (-58)/4.
10
Let l = 4827 + -4719. What is the remainder when 969 is divided by l?
105
Let x(p) = 8*p + 3. Let b = -83 + 86. Calculate the remainder when 53 is divided by x(b).
26
Suppose 3*j - 1913 - 1165 = -h, 5132 = 5*j + h. Let z = -2 - -12. What is the remainder when (-6)/8 + j/52 is divided by z?
9
Let t(h) = -151*h - 870. Let z(j) = -j**2 + 13*j - 10. Calculate the remainder when t(-7) is divided by z(7).
27
Let r(o) = o**2 + 71*o + 991. What is the remainder when r(-69) is divided by 231?
160
Let y(n) = n**3 - 22*n**2 - 594*n + 8. Calculate the remainder when y(39) is divided by 90.
89
Let u = 7327 - 7257. What is the remainder when 642 is divided by u?
12
Suppose 117*r - 52*r - 3096 = -107*r. What is the remainder when 4390 is divided by r?
16
Let d = 1325 + -657. Let z = -661 + d. Calculate the remainder when 103 is divided by z.
5
Suppose 5*z + 8 = 198. Suppose -166 = -4*b + z. Suppose -73 - 341 = -23*p. Calculate the remainder when b is divided by p.
15
Let n(d) = 5*d**2 + 110*d - 1088. Calculate the remainder when 1553 is divided by n(10).
17
Suppose h + 90 + 551 = 7*y, 0 = 4*y - 5*h - 384. Calculate the remainder when 304 is divided by y.
31
Suppose 104 = 2*w - 60. Let x = w - 82. Suppose m + 2*m + 2*a - 34 = x, -4*m = 2*a - 42. Calculate the remainder when 45 is divided by m.
5
Suppose -5*j - 4*x + 1912 = 0, -2*j - 9*x + 10*x = -757. Let i = -339 + j. What is the remainder when i is divided by 27?
14
Let c = -4932 - -5362. Calculate the remainder when c is divided by 159.
112
Suppose -5*g + 3*c = -0*g + 741, 0 = -2*c + 4. Let q = 221 - g. Suppose -t = -5*t + q. Calculate the remainder when t is divided by 19.
16
Suppose -5*x = -329*z + 327*z - 291, -2*z = -14. Calculate the remainder when 4633 is divided by x.
58
Suppose -206 = 3*g + 3*l - 368, 3*g - 172 = -l. Calculate the remainder when g is divided by 14.
3
Let m = 71 - 46. Calculate the remainder when 75 is divided by m.
0
Suppose 0 = -6*w + 7*w - 1. Let t be w/(1*1/8). Suppose 4*g + t = -0*g, 3*v + g - 52 = 0. Calculate the remainder when 51 is divided by v.
15
Let g = 78 - 78. Suppose -6*f + f + 15 = g. Suppose -3*a - f*p + 278 = -88, -468 = -4*a + p. What is the remainder when a is divided by 20?
18
Let v be (6*15/(-12))/((-18)/12). Suppose 2*p - 118 = 4*t, -4*t - 153 - 118 = -v*p. What is the remainder when p is divided by 19?
13
Let k = 2980 - 2976. What is the remainder when 601 is divided by k?
1
Calculate the remainder when ((-28821)/(-91) - -13) + 8/28 is divided by -1 + (-276)/(-4) + -1.
62
Let x(b) = -411*b - 3264. Calculate the remainder when 416 is divided by x(-8).
8
Let p = 495 - 497. Calculate the remainder when (5/15)/(p/(-57))*2 is divided by 2.
1
Suppose -5*j + 335 + 210 = 0. Calculate the remainder when j is divided by -9 + 2116/68 + ((-87)/17 - -5).
21
Let g(u) = u**2 + 3*u - 2. Let w be g(-4). Suppose -1158 = -4*r - 4*n - 138, 4*r - 1020 = -w*n. Calculate the remainder when r is divided by 37.
33
Let m be ((-999)/(-74))/(2/4). What is the remainder when 38 is divided by (-58)/(-3) - (-18)/m?
18
Let o(b) = 2*b - 18. Let r be o(9). Suppose 0 = -r*n - 2*n + 26. What is the remainder when n is divided by 3*111/117 + (-34)/(-221)?
1
Suppose 2*s + 64 - 70 = 0. Suppose -5*a + 462 = 2*j, a - 599 - 68 = -s*j. Calculate the remainder when j is divided by 29.
18
Let n = -9 - -27. Let d = -210 + 363. Let w = d + -146. What is the remainder when n is divided by w?
4
Suppose 15*c + 6011 = 5*z + 17*c, -z - 3*c + 1197 = 0. What is the remainder when z is divided by 67?
64
Let b(z) = z**3 - 4*z**2 - 4. Let y be b(4). Let p = y - -7. Calculate the remainder when 3984/249 - (1 + 8) is divided by p.
1
What is the remainder when (-8222)/(-17 - -8 - -8) is divided by 35?
32
Let z = 20 - 16. Suppose 0 = 9*m - z*m - 125. What is the remainder when 44 is divided by m?
19
Suppose 0*y = -12*y - 4164. Let s = 355 + y. What is the remainder when 27 is divided by s?
3
Let u = 235 + -161. Let q = -23 + 26. Calculate the remainder when u is divided by q*((-175)/(-15) - -1).
36
Suppose -3*o - 4*p = -0*p + 53, 0 = -4*o - 4*p - 68. Let k = o - -17. Suppose -4*z + k = -6. What is the remainder when 8 is divided by z?
0
Calculate the remainder when 10 + (7 - 11) - (-220 + 5 + 3) is divided by (-3)/1*(-37)/3.
33
Suppose -1798 = -17*s - 659. What is the remainder when 121 is divided by s?
54
Let h = 29 + -25. Let c be (12/40*h)/(6/15). Suppose c*b - 2*o = 2*b + 122, 4*b - 4*o = 508. Calculate the remainder when b is divided by 27.
24
Suppose o - 4 = -4*h + 30, 2*o + h = 75. Suppose 228679*l = 228644*l + 805. Calculate the remainder when o is divided by l.
15
Suppose -99*w + 185951 = -307168. What is the remainder when w is divided by 1243?
9
Suppose 2*b = -3*b + 210. Suppose 183*t + 1286 = 589 + 5455. Calculate the remainder when b is divided by t.
16
Let s = -83 + 185. Let n = -96 + s. Let t(c) = -c**3 - 13*c**2 - 4*c - 6. Calculate the remainder when t(-13) is divided by n.
4
Suppose -3*i + z = -23, 0 = 4*i + 211*z - 213*z - 34. What is the remainder when 14805 is divided by i?