pose -3*i + o = 8. Suppose i = 3*t - t + s, t = 2*s + 27. What is the remainder when 110 is divided by t?
15
Suppose 328 + 265 = 46*w - 5. What is the remainder when 63 is divided by w?
11
Suppose -13*q - 6 = -12*q. Let g(m) = -m**3 - 8*m**2 - 11*m + 9. Let t be g(q). What is the remainder when 34 + (-7 - -7)*t/6 is divided by 9?
7
Suppose -6*g + 156 = -2*g. Let u(x) = 4*x**2 - 2177*x + 10858. What is the remainder when u(5) is divided by g?
34
Suppose 3*d = 5*b + 1012, 2*d = 4*b - 3*b + 677. Suppose -5*x + 4*j + 212 = -x, 0 = -5*x + 10*j + 245. What is the remainder when d is divided by x?
54
Suppose 100655 = 292*t + 19479. What is the remainder when 826 is divided by t?
270
Let i(v) = 192*v**2 + 1. Let r be i(1). Let d = 209 - r. Calculate the remainder when d is divided by 3.
1
Let r(k) = k + 127. Suppose 5*q = -35*a + 32*a + 26, 2 = 2*q. Calculate the remainder when r(25) is divided by a.
5
Let a = 1385 - 885. Suppose -a = -4*i - 6*i. Calculate the remainder when i is divided by 26.
24
Let s(q) = 13*q + 80. Calculate the remainder when 3607 is divided by s(-3).
40
Suppose -4*p + 2*l - 100 = -184, 2*p - 5*l - 74 = 0. Suppose -5*u + 2330 = 560. Calculate the remainder when u is divided by p.
14
Let q = 14550 - 13827. What is the remainder when q is divided by 25?
23
Calculate the remainder when 2664 is divided by 390/9 + 93/(-279).
41
Suppose 14819 = 2*t + 5*z, 3*t - 19*z + 20*z = 22196. Calculate the remainder when t is divided by 74.
71
Let j(f) = -2*f**3 - 89*f**2 - 511*f - 1. Calculate the remainder when j(-6) is divided by 27.
23
Let o be ((-84)/36)/(2 - 14/6). Suppose -2*v + 4 = 0, -4*a + 3*v + o = -3*a. What is the remainder when 35 is divided by a?
9
Suppose -5*h + 105 + 15 = -5*q, 3*h - 112 = -5*q. Calculate the remainder when 217 is divided by h.
14
Let b(r) = -r**3 - 6 - r**2 + 4*r**2 + 13*r + 8*r**2 - 1. Let t be b(12). What is the remainder when 37 is divided by (-156)/(-30)*t/2?
11
What is the remainder when 230 is divided by (1 + -3 - -44)/2?
20
Suppose 0 = 4*y + 480*r - 477*r - 751, -3*y + r + 547 = 0. Calculate the remainder when 5885 is divided by y.
181
Suppose 3*p - 112 = -3*j + 116, -5*j + 436 = -2*p. What is the remainder when 128 is divided by j?
44
Let y be 2/(-2)*(-1 - 2). Suppose y*a = -2*a - 490. Let g = 101 + a. What is the remainder when g is divided by 2?
1
Suppose -8*a = -9*a, 4*a + 18360 = 4*m. Calculate the remainder when m is divided by 16.
14
Let c(b) = -b**2 + 5*b + 2. Let t be c(-7). Let y = t + 80. What is the remainder when 42 is divided by ((-77)/(-14))/((-3)/(12/y))?
9
Let x = 411 - 238. Suppose -22*w + x = -69. What is the remainder when 251 is divided by w?
9
Suppose -3*z + 169 = 2*p, 3*z + 5*p - 190 = -15. Calculate the remainder when z is divided by 19.
17
Let u = 21960 - 21851. What is the remainder when 3486 is divided by u?
107
Suppose 0 = -173*j + 164*j + 45. Let y = 29 - 17. Let p = y - -2. What is the remainder when p is divided by j?
4
Let p(j) = -3*j**2 - 10*j - 35. Let c be p(8). Let i = c - -367. What is the remainder when 230 is divided by i?
50
Let q = 2480 + -2327. Calculate the remainder when 341 is divided by q.
35
Let p be (100/15)/10 - 20/(-6). Let w = 371 - 222. Suppose 3*n + 3*c - w = c, -p*c + 16 = 0. Calculate the remainder when n is divided by 12.
11
Suppose -1521*j + 2519 = -1497*j + 287. What is the remainder when 619 is divided by j?
61
Suppose 0 = 12*z + 9*z - 698 - 1066. Calculate the remainder when 142 is divided by z.
58
Let s(k) = -3*k**2 - 43*k - 93. Let m(y) = y**2 + 14*y + 31. Let h(l) = 17*m(l) + 6*s(l). Calculate the remainder when 98 is divided by h(-16).
32
Let l(a) = 386*a + 26. Let y be l(4). Let g = -626 + y. Suppose 10*m = g + 196. What is the remainder when m is divided by 39?
36
Suppose -78*k - 116 + 2731 - 587 = 0. Calculate the remainder when 1173 is divided by k.
3
Suppose 0 = -22*m + 105 - 17. Calculate the remainder when 16 is divided by m.
0
Suppose 56*y - 3707 = 51*y + 2*m, 2*m - 8 = 0. Calculate the remainder when y is divided by 24.
23
Suppose 318*b - 105 = 315*b. What is the remainder when 822 is divided by b?
17
Suppose -5*t - 4 = -249. Suppose 5*m + 115 = -160. Let f = -29 - m. What is the remainder when t is divided by f?
23
Suppose 34*h = 38 - 4. Calculate the remainder when 0 + (-2 - -2) + 39 is divided by -6*(h/(-5))/(14/245).
18
Suppose 0 = -195*d + 166*d + 7888. Calculate the remainder when d is divided by 87.
11
Suppose 0*x = -3*v - 3*x + 15, 4*v - 25 = x. Let m = -4141 + 4326. What is the remainder when m is divided by v?
5
Let p(l) be the second derivative of -l**3/2 - 2*l**2 - 9*l. Let m be p(-3). Suppose -13*o + m*o = -136. Calculate the remainder when o is divided by 6.
5
Suppose -m = -2*q + 2, 2*q = m - q + 3. Suppose -2*i + m*i + 108 = 0. Let x(g) = g**3 + 3*g**2 - 71*g - 239. What is the remainder when i is divided by x(-4)?
25
Let p = 12186 + -6482. Calculate the remainder when p is divided by 9.
7
Let t(c) = 3*c + 115. Let a = 103 + -60. Calculate the remainder when a is divided by t(-34).
4
Calculate the remainder when 420 is divided by (-10)/4*((-12)/(-78) - (-12082)/(-455)).
24
Let j be 5 - (2 - 0/(-3)). Suppose 2*y + j*y + 191 = 4*q, 2*q + 3*y = 123. Calculate the remainder when q is divided by 31.
23
Let a(f) = -8*f + 199. Calculate the remainder when a(24) is divided by (2/4)/(3/30).
2
Suppose 0 = 3*p - 3, 3*m - 31*p = -30*p + 29. Calculate the remainder when 1722 is divided by m.
2
Let p be (28/(-84))/((-2)/216). Suppose 2*c + p = f, -5*f + 3*c + 125 = -34. Calculate the remainder when 209 is divided by f.
29
Let i(l) be the third derivative of l**6/120 - 2*l**5/5 + 9*l**4/8 - 10*l**3/3 - 20*l**2. Calculate the remainder when i(23) is divided by 44.
28
Calculate the remainder when 100 is divided by -2*(-93)/15*(-25)/60*-6.
7
Let w = -11 + -9. Let n = -10 - w. Let u = 797 - 719. Calculate the remainder when u is divided by n.
8
Calculate the remainder when (230 + 19 + -4)*3 is divided by 67.
65
Let o(a) = -6*a**2 + 2*a**2 + 2*a**2 + 11 - 22*a + 3*a**2. Let t be o(21). Calculate the remainder when 174 is divided by (-2)/(-8) + 188*t/(-32).
56
Suppose 3 = 3*r - 6*r - w, -2*w = 6. Let g be (1 + r)/(10/(-2750)). Let l = g - -455. Calculate the remainder when l is divided by 14.
12
Calculate the remainder when 9566/3 + (23 - 1768/78) is divided by 29.
28
Let h(c) = 2*c**2 - 108*c + 1370. What is the remainder when h(17) is divided by (2/4)/((-2)/(-80))?
12
Suppose 137*j - 4529 - 2319 = 30*j. What is the remainder when 762 is divided by j?
58
Let z(m) = 4*m**3 + 14*m**2 + 17. Let s(n) = -n**3 + n**2. Let h(t) = 3*s(t) + z(t). What is the remainder when ((-4)/6)/(1/(-123)) is divided by h(-17)?
14
Let m = -321 + 305. Let c(k) = k**2 - 2*k + 6. Let a be c(8). Let q = a + m. Calculate the remainder when 111 is divided by q.
35
Let r(u) = u**2 - 4*u - 20. Let i be r(11). Let v = i + -31. What is the remainder when 94 is divided by v?
16
Let s(y) = y**3 - 6*y**2 + 6*y - 5. Let n be s(5). Suppose n*a + 3*a = 12. Calculate the remainder when 19 is divided by a.
3
Let w = 2203 + -2076. Calculate the remainder when w is divided by 50.
27
Suppose 0 = -4*j + 108 - 432. Let q = j + 115. Suppose -3*n - w = -424 + 26, n + 3*w - 122 = 0. What is the remainder when n is divided by q?
32
Let p(g) = g**2 + 178*g - 1427. Calculate the remainder when 862 is divided by p(8).
8
Let k(z) = -29*z - 2142. Calculate the remainder when k(-79) is divided by 56.
37
Let z(i) = i**3 + 5*i**2 - 6*i + 4. Let k be ((-10)/3)/((-154)/21 + 8). What is the remainder when 69 is divided by z(k)?
1
Suppose 17*i - 5968 = -562. Suppose -1 = 4*z + 3, -4*z + 54 = 2*f. What is the remainder when i is divided by f?
28
What is the remainder when 234 is divided by (1265/(-385))/(2/(-14))?
4
Calculate the remainder when ((-226)/(-1) - 4) + 5 is divided by 12.
11
Let v(x) = -31*x + 188. Calculate the remainder when 3133/3 - 3/9 is divided by v(3).
94
Suppose -36206 = -22*g - 7210. What is the remainder when g is divided by 437?
7
Let b = -150 - -152. Suppose u = -5*c + 63, -b*c + 5*u = -4*c + 39. Let g(f) = 9*f**2 + 3*f + 2. What is the remainder when g(-2) is divided by c?
8
Suppose -18 = i + 2*v, 20*i - 4*v + 12 = 16*i. Calculate the remainder when 69 is divided by 1/(i