e remainder when i is divided by 32.
31
Suppose 0 = -49*a + 69*a - 43760. Calculate the remainder when a is divided by 11.
10
Let k = 444 - 441. What is the remainder when 547 is divided by k?
1
Let j(f) = -19*f + 32*f - 64 + 10 - 8*f. Calculate the remainder when j(14) is divided by 9.
7
Let i(d) = d**3 - 21*d**2 - 99*d + 1231. Suppose -3*x - 12 = 0, 5*x = 4*u - 5*u - 17. Calculate the remainder when i(23) is divided by u.
0
Let w = -56 - -164. Suppose -15 = 3*o, -2*o = 2*b - 7*o - 47. What is the remainder when w is divided by b?
9
Let u = -438 + 180. Let z = u - -278. Calculate the remainder when 159 is divided by z.
19
Let m(l) = -6*l**3 - 4*l**2 - 36 - l**3 + 7*l + 8*l**3 + 7 - 7. Calculate the remainder when 69 is divided by m(5).
21
Suppose 0 = 22*y - 34 - 10. Suppose 5*h - 71 = y*a - 4*a, -2*a + 76 = 4*h. Calculate the remainder when a is divided by 25*-4*(-3)/12.
23
What is the remainder when 2432 is divided by (-56)/6*((-284)/14 - -19)?
8
Let m = -1034 + 1071. Calculate the remainder when 71 is divided by m.
34
Let l = -8 + 70. Suppose -3*j + 380 = -5*g + 96, 232 = -4*g + 4*j. What is the remainder when l is divided by 33/g - 204/(-15)?
10
Let s(x) = 9*x + 239. What is the remainder when s(11) is divided by 92?
62
Suppose 4*n - 72 = -2*o, o + 83 = 3*n + 2*n. Suppose b - 236 = -5*m - 97, -3*b = 5*m - 337. What is the remainder when b is divided by n?
14
Let f = -7799 + 8729. Calculate the remainder when f is divided by 85.
80
Suppose -z + 4*u = -3*z - 36, 2*u - 42 = 5*z. Let j be (1036/(-35))/((-4)/z). Calculate the remainder when 74 is divided by (-2)/(4/j) - (-15 + 12).
34
Let l be 48*-2*(-4)/3. Let g = l - 123. Suppose -g*n + 6*n = 34. What is the remainder when 98 is divided by n?
30
Suppose -2*g - w + 2*w + 205 = 0, -4*g + 419 = -5*w. Suppose 18*x + 7*x - 490 = 11*x. Calculate the remainder when g is divided by x.
31
Let x(p) = -p**2 - 36*p - 25. Let o = -219 - -239. Calculate the remainder when x(-27) is divided by o.
18
Suppose 23*s - 4067 - 6370 = -26*s. Suppose -2*j - 2*j - 4*h = -88, 2*j - 40 = -h. Calculate the remainder when s is divided by j.
15
Let b = 17 + -13. Suppose -b*q + 367 = 3*a - 258, q - 153 = -4*a. Calculate the remainder when q is divided by (-2 - 4/(-2)) + 40.
37
Suppose -4*m + 147 = -5*b, m - b + 39 = 2*m. Let g = m - 42. Calculate the remainder when ((-14)/3)/(-2*g/(-60)) is divided by 14.
7
Let a(w) = -w**3 + 20*w**2 + 556. Calculate the remainder when 381 is divided by a(21).
36
Let k = -2077 - -2107. What is the remainder when 88 is divided by k?
28
Let d = -28898 - -29099. What is the remainder when 1827 is divided by d?
18
Suppose i = 4*j - 13 - 8, -2*j + 3*i + 23 = 0. Suppose 4*z - l = 7, 6*z - j*z - 5 = -l. Suppose z*n = 19 + 117. Calculate the remainder when n is divided by 18.
14
Let o = 1458 + -1073. Calculate the remainder when o is divided by 55.
0
Suppose 0 = 2*c - 3*c + 63. Suppose -c = -2*a - a. Let d(f) = f**3 + 36*f**2 - 293*f - 17. Calculate the remainder when d(7) is divided by a.
18
Let k(b) = b**2 + 5. Suppose 2*n - 2 = d - 0*n, 3*d - n + 11 = 0. Let f be k(d). What is the remainder when 20 is divided by 1/7 - ((-186)/f - 2)?
9
Let p(f) = -f**3 - f**2 - 2*f + 3. Let n be p(0). Suppose n*q - 96 = -g, 4*q = 5*q + g - 34. Calculate the remainder when 60 is divided by q.
29
Let u(p) = p**2 - 95*p - 691. What is the remainder when u(-8) is divided by 37?
22
Let n = 636 + -571. What is the remainder when 240 is divided by n?
45
Suppose -3*c - 32 = -2*c. Let y be c/(-48) - (0 + 388/6). Calculate the remainder when 15 is divided by (y/12)/(2/(-3)).
7
Let m be (0 - 2/(-9)) + 15740/(-36). Let l = 468 + m. Calculate the remainder when 154 is divided by l.
30
Let y(h) = 2*h**3 - 13*h**2 + 11*h - 15. Let w(a) = -8*a - 34. What is the remainder when w(-11) is divided by y(6)?
9
Let c = -16 - -38. Let v be (-28060)/80 - 8 - 3/(-4). Calculate the remainder when (v/88 - 4/c)*-8 is divided by 13.
8
Let c(g) = 521*g**2 - 18*g + 13. What is the remainder when c(4) is divided by 17?
15
Let g = -3930 - -3979. What is the remainder when 488 is divided by g?
47
Suppose 8*u + 2165 = 2189. What is the remainder when u is divided by 2?
1
Let q = 1737 - 1101. Let y = q - 608. What is the remainder when 1/(-1)*109*-1 is divided by y?
25
Let h = 19675 - 18296. Calculate the remainder when h is divided by 16.
3
Let f = -16443 - -16466. What is the remainder when 1512 is divided by f?
17
Suppose 1 = -r + f, 5*f = -2*r - 3*r + 35. Suppose -r*u + 6*u = 6. Let g(b) = b**3 - 7*b**2 - 75*b - 70. Calculate the remainder when g(-5) is divided by u.
1
Suppose 87 = 3*b - 3*w, 0 = 2*b + 5*w + 25 - 104. Suppose -4*h = -2*m - 118, 2*h - b = h + m. Let k = h - 11. Calculate the remainder when 77 is divided by k.
13
Suppose 2*f - 406 = 1210. What is the remainder when f is divided by 400?
8
Let f be 2 + (-5)/(15/(-12)). What is the remainder when 29 is divided by ((-45)/f + 7)*-24?
5
Let s(h) = 7*h - 37. Suppose 4*i - 5*f = 56, -3*i - 4*f = -0*f - 11. What is the remainder when 118 is divided by s(i)?
14
Let y be (-4)/6 - 237/(-18)*-14. Let t = -23 + y. What is the remainder when (12/24)/((-2)/t) is divided by 18?
16
Suppose -1427 - 880 = -u + v, 4604 = 2*u + 3*v. Calculate the remainder when u is divided by 115.
5
Let g(d) = -3*d**2 - 17*d - 44. Let k(a) = a**2 - 2*a - 3. Let x(t) = -g(t) - 2*k(t). Calculate the remainder when 154 is divided by x(-19).
10
Let u(x) = -x**3 - 93*x**2 + 280*x - 9. What is the remainder when u(-96) is divided by 76?
75
Let k(x) = x**3 + 32*x**2 - 117*x - 2. Let y be k(-35). Suppose -20*j + y = -18*j. What is the remainder when j is divided by 36?
29
Suppose 5*a + 143 = 453. Suppose -s - a = -3*j, -j = -4*s + s - 10. Suppose -w = j - 77. Calculate the remainder when w is divided by 14.
13
Suppose 3*m - 159 = -21. Suppose 43*d + 330 = m*d. What is the remainder when d is divided by 58?
52
Suppose 92 = 5*l + 2*f - 6*f, f - 29 = -2*l. Suppose 17 = 11*m - l. Calculate the remainder when 35 is divided by m.
2
Let i(t) = t**2 - 15*t + 75. Let v(b) = 14*b + 3. What is the remainder when v(5) is divided by i(6)?
10
Suppose 3*d + 3*g = 24, -g + 1 = -d + 5. Let u = -3 + 5. What is the remainder when 4 - 1 - (2 - (20 + u)) is divided by d?
5
Suppose 5*l + 7 = 7*q - 502, 243 = 3*q + 2*l. Let n(t) = -t - 5. Let f be n(-11). What is the remainder when q is divided by 81/6 + (-3)/f?
12
Suppose -2 = v, 18*v = -5*o + 13*v + 95. What is the remainder when 4/(-14) + (-1978)/(-14) is divided by (-54)/(-63) + 990/o?
45
Suppose -2307*v + 2356*v = 8526. Calculate the remainder when v is divided by 34.
4
Suppose -380 = -a - 18*a. Calculate the remainder when (35/a - 4)/((-9)/48) is divided by 3.
0
Suppose -i = -3*n - 14, 5*i - 2*n - n - 118 = 0. Suppose -4*a + 66 + 31 = s, 0 = s + 5*a - 96. Calculate the remainder when s is divided by i.
23
Suppose 6*v - 272 - 4 = 0. Let h = 66 - v. Let f = h + 7. What is the remainder when 50 is divided by f?
23
Suppose 2*n - 36 = -z - 3*z, -3*z = 3. Suppose 14*b = n*b - 60. Suppose b*s + 129 - 349 = 0. What is the remainder when s is divided by 3?
1
What is the remainder when 2481 is divided by 404/12 + (35/15 - -1 - 3)?
33
Let g(k) = k**2 + 4*k - 19. Suppose 4*y - 2*i - 104 = 2*i, 5*i + 80 = 3*y. Suppose 5*a = 10*a - y. What is the remainder when a is divided by g(3)?
1
Let c be (-15)/12*(-5 - -93). Let k = 326 + c. What is the remainder when k is divided by 17?
12
Suppose 2*t - 20875 = -r + 3*t, -5*t + 41785 = 2*r. What is the remainder when (-8)/(-52) + r/156 is divided by 15?
14
Suppose -107*s + 977 = 1072 - 2984. Calculate the remainder when s is divided by 24.
3
Let g(b) = -b + 3. Suppose 6*k = 8*k. Suppose k = -17*z + 8*z + 54. What is the remainder when z is divided by g(0)?
0
Let d be ((-18)/22 - -1) + 14/(-77). Suppose 4 - 7 = -v, 5*w - v - 27 = d. Calculate the remainder when 14 is divided by w.
2
Suppose -4679 + 901 = -2*n + 5*v, 4*n + 2*v = 7460. What is the remainder when n is divided by 72?
69
Let o be 10/(-40) - 438/(-24). Suppose 7*j - 5*j - 4*d = o, -37 = -j - 5*d. Calculate the remainder when 1068 is divided by j.
14
Let i(s) = 1754*s + 232. Calculate the remainder when 15540 is divided by i(0).
228
Let k be 9/(-6) + (6 - 771/(-2)). Let i = k - 368. Suppose -12 = -h