uppose 7*l = 5761 - 910. Calculate the remainder when (4/(-3))/(-9 + 6231/l) is divided by 31.
30
What is the remainder when (12/(-8))/(14 - 43194/3084) is divided by 135?
122
Suppose 0*u - 35 = -u - 3*m, m - 245 = -5*u. Let a = 321971 + -321824. What is the remainder when a is divided by u?
47
Suppose -i - 2 = -0*i + 2*o, -2*i - 5*o = 8. Let q(d) = -d**3 + 8*d**2 - 10*d - 5. What is the remainder when 24 is divided by q(i)?
3
Let o be (-16)/(-80) + (-28)/(-10). Suppose -247 = -o*c - 2*w, w + w + 348 = 4*c. Let z = 122 - c. Calculate the remainder when z is divided by 13.
11
Let h(s) = 1124*s - 3232. What is the remainder when h(6) is divided by 196?
180
Let x = -521 + 522. What is the remainder when (1 + 12)/(x - 62/64) is divided by 22?
20
Suppose -36*n + 3*a = -31*n - 1758, 4*n - 5*a - 1409 = 0. Calculate the remainder when n is divided by 78.
39
Let l = 5026 - 5002. Calculate the remainder when 4243 is divided by l.
19
Suppose -55176*w + 11856 = -55172*w. Calculate the remainder when w is divided by 48.
36
Suppose -2643 = 5*l + u, u - 3 = -1. Let m = -468 - l. Calculate the remainder when m is divided by 8.
5
Let v(h) = 120*h - 2945. Let j = 6 - 2. Suppose j*k - 2*m - 76 = 0, -m - 76 = -6*k + 2*k. What is the remainder when v(25) is divided by k?
17
Let q(m) = m + 6. Let k be q(-4). Suppose -k = -2*r + 16. What is the remainder when ((-348)/(-9))/(12/r - 1) is divided by 39?
38
Suppose -7 = 6*v + 119. Let z be (-2)/(-14) + (-3147)/v. Suppose -2*o + z = 5*i, 0 = -3*i - 5*o + 6*o + 90. Calculate the remainder when 59 is divided by i.
29
Let k(j) = j. Let x(c) = 19*c - 79. Let u(i) = 3*k(i) + x(i). What is the remainder when u(11) is divided by 28?
23
Let y(c) = c**2 - c - 8. Suppose -18*w = -13*w - 205. What is the remainder when y(15) is divided by w?
38
Let m(p) = p**2 - 24*p + 97. Let l be m(5). Suppose -3*o + 4*o - 5*b = 2, -o + l*b + 11 = 0. Calculate the remainder when 458 is divided by o.
16
Let d(b) = 13*b + 11 - 3 + 3 + b**2. Let p be d(-13). Suppose 2*q - 11 = p. Calculate the remainder when q is divided by 4.
3
Let m = -5721 - -7169. What is the remainder when m is divided by 7?
6
Let p be (-61)/(-3) - -2 - (-8)/12. Suppose 198 = 3*c - 3*o, p*o - 19*o = -4. What is the remainder when c is divided by 6?
5
Let j = -37 - -177. What is the remainder when j is divided by (90/(-5))/((-15)/(-10 - -40))?
32
Let w(u) = 9*u - 23. Let i(p) = -3*p + 8. Let x(c) = -11*i(c) - 4*w(c). What is the remainder when 36 is divided by x(-7)?
11
Suppose -59*h - 2147 = -6749. Calculate the remainder when 2167 is divided by h.
61
Suppose -33*u = -3*u - 120. Let v(b) = -18*b + 101. What is the remainder when v(u) is divided by 15?
14
Let l(u) = 39*u**2 - 11*u + 4. Let m be l(5). Suppose -j - m = -34*j. What is the remainder when 135 is divided by j?
23
Let l(x) = 2*x**2 - 26*x + 35. Let f be l(20). Let z = f - 147. What is the remainder when z is divided by 34?
32
Suppose 0 = 5*r - 31 + 46. Let b be (361/(-3))/(1/r) - 1. Suppose y - b = -11*y. What is the remainder when y is divided by 11?
8
Suppose -7*s - 210 + 196 = 0. Calculate the remainder when s/3 + (-11)/((-363)/1309) is divided by 10.
9
Let p(u) = 37*u**2 + 55*u + 167. Calculate the remainder when p(-3) is divided by 71.
51
Suppose -f = f. Suppose f = 4*q - 97 - 43. Suppose -1805*p + 1802*p = 4*a - 59, -a = -3*p + 19. Calculate the remainder when q is divided by p.
8
What is the remainder when (17 + -3 - -348 - 2) + (-8 - 0) is divided by 49?
9
Let k = -482 - -501. Suppose 2*l - 96 = -l. What is the remainder when l is divided by k?
13
Let d be 15090/27 + 6/54. Suppose 14*c = d + 309. What is the remainder when 183 is divided by c?
59
Let y(v) = -v**3 - 2*v**2 + 5*v - 2. Let b be y(1). Let j(i) = -3*i**2 - 2*i + 210. Calculate the remainder when j(b) is divided by 43.
38
Let d = 5 + -4. Let w(b) = -b**3 - 5*b**2 + 7*b + 10. Let h be w(-6). Suppose h*l - 1 = 7. What is the remainder when l is divided by d?
0
Let s(j) = -10*j + 108. Let k be s(9). What is the remainder when 52 is divided by 88/6*27/k?
8
Calculate the remainder when 968 is divided by (6/(-2) + (13 - 6))/((-8)/(-118)).
24
Let n = -15664 - -16109. Calculate the remainder when n is divided by 136.
37
Let r = -10457 - -11202. Calculate the remainder when r is divided by 243.
16
Let y = -10 + 5. Let i(h) be the third derivative of -h**4/4 - h**3/6 - 9*h**2 - 4. What is the remainder when i(y) is divided by 16?
13
Let u = -15560 - -15869. What is the remainder when u is divided by 124?
61
Let m = 12471 - 12463. What is the remainder when 318 is divided by m?
6
Suppose g - 32 = 5*t, -4*g = -3*t - 6*g - 27. Let k(w) = 6*w**2 + 18*w + 7. Calculate the remainder when k(t) is divided by 46.
37
What is the remainder when 137 is divided by ((-1792)/(-1120)*200/6)/(4/6)?
57
Suppose 3*b - 50 = 5*x, b + 4*x + 2 = 13. Suppose -1255 + 325 = -b*p. What is the remainder when 184 is divided by p?
60
Let h(b) = 3*b**3 + 67*b**2 + 29*b + 171. What is the remainder when 3890 is divided by h(-22)?
14
Let g = 2673 + -1364. What is the remainder when 143 is divided by g/85 + ((-6)/(-5))/(-3)?
8
Suppose 5*d - 88 = 9*d. Calculate the remainder when 59 is divided by (16 + d)/(2 + 10/(-4)).
11
Let x(b) = -b**2 + 15*b + 30. Let h be 50/3 + (-10)/6. Let c be x(h). Calculate the remainder when 69 is divided by (-8)/(-6) - (-1040)/c.
33
Let q be 26*2/(-24)*-6. Suppose -2*k + q = -97. What is the remainder when 164 is divided by k?
54
Let s be (-4)/(-14) + 574/49. Suppose 0 = -9*i + s*i + 513. Let w = 261 + i. What is the remainder when w is divided by 31?
28
Let z(k) = 13*k + 2. Suppose 4*s + 3 + 1 = 0. Let u(r) = -r + 1. Let y(w) = s*z(w) + 3*u(w). What is the remainder when 46 is divided by y(-1)?
12
Suppose 10*g = -2*g + 264. What is the remainder when 0 + -2 - (6/3 + -398) is divided by g?
20
Let u(b) = -b**2 + 26*b - 102. Let o be u(5). Let c = 9 + -6. What is the remainder when c is divided by (-25)/2 + 13 + o/2?
1
Let k(r) = r**2 + 35*r + 460. Calculate the remainder when 987 is divided by k(-21).
157
Let d be -101 + 107 + 3*2. Suppose 0 = -d*q + 706 + 890. What is the remainder when q is divided by 4?
1
Let v = -471 - -491. Suppose 0 = 5*y - 23 - 332. Calculate the remainder when y is divided by v/(-6)*(-7 + 133/(-35)).
35
Suppose -23 = 2*a + 19. Let n(r) = r**3 + 2*r**2 - 8*r + 3. What is the remainder when 8/(-56) - 822/a is divided by n(3)?
15
Let a(y) be the first derivative of 2*y**3 + y**2 + y - 18. Let l be a(-1). Suppose -251 = -l*f - 21. What is the remainder when f is divided by 24?
22
Let v = 704 - 209. Suppose v = -8*g + 11*g. What is the remainder when g is divided by 56?
53
Suppose g - 2*b = 5*g - 222, 5*g - 3*b - 272 = 0. Let o = 1631 + -1604. What is the remainder when g is divided by o?
1
Let m(j) = -j**3 + 12*j**2 + 14*j + 21. Calculate the remainder when m(13) is divided by (5/3)/(((-1045)/(-198))/19).
4
What is the remainder when 501 is divided by (-8)/(96/(-297)) - 39/52?
21
Let m be (17 - (6 + 7)) + 14*1. Calculate the remainder when (m/(-54))/(1/(-195)) is divided by 23.
19
Let m(h) = -141*h + 1040. Calculate the remainder when m(7) is divided by 15.
8
Let q be (-3)/((-9)/(-12))*-28. Suppose 2*f = 9*f + q. Let k = 55 - f. What is the remainder when k is divided by 37?
34
Let h = -214 + 193. What is the remainder when -1 + 18/14 + (-3354)/h is divided by 55?
50
Let a = 14 - -13. Let c(d) = -6*d + 7. Let s be c(-8). Suppose y - s = 50. What is the remainder when y is divided by a?
24
Let q = 124 + -323. Let a = -120 - q. What is the remainder when a is divided by 27?
25
What is the remainder when 4456/6 - (50 - 44 - (-16)/(-3)) is divided by 81?
13
Let l(h) = 2*h**3 - 38*h**2 + 29*h - 323. Calculate the remainder when 497 is divided by l(19).
41
Let f = -11 - -11. Suppose f*o - 3*o = -30. What is the remainder when o/15 - 530/(-6) is divided by 30?
29
Let n = -5239 + 5903. What is the remainder when n is divided by 41?
8
Suppose 16*f = -108*f + 12152. Calculate the remainder when 300 is divided by f.
6
Calculate the remainder when (-5 + 9)/((40/(-994))/(-10)) is divided by 181.
89
Let i(j) = -j**3 + 80*j**2 + 992*j - 81. Let p = 96 - -26. What is the remainder when p is divided by i(-11)?
14
Suppose 9*a + 6 - 51 = 0. What is the remain