- -258. Suppose d = 5*f - 5*v, f - 2*v - 4 - 34 = 0. What is the remainder when 334 is divided by f?
46
Suppose 3*c = 4*j - 8, -9 = -c + 8*j - 9*j. Suppose 51 = -3*u + i + 172, c*u - 164 = 4*i. Calculate the remainder when 75 is divided by u.
35
Suppose -13797 = 39*d - 42*d + 2*k, -3*d = -3*k - 13791. What is the remainder when d is divided by 47?
44
Let r = 3 + 1. Suppose -b + 4*b - 391 = 5*u, -3*u = r*b - 473. Let n = b + -71. What is the remainder when n is divided by 14?
9
Let v(n) = -n**3 - 21*n**2 - 89*n - 932. Let u(t) = -185*t**3 - 2*t**2 - t. Calculate the remainder when u(-1) is divided by v(-19).
36
Suppose -3*s = -12, -5*n + 8*n = -4*s + 85. What is the remainder when 2138 is divided by n?
22
Let w = 26 - -10. Suppose -568 + 326 = -11*b. What is the remainder when w is divided by b?
14
Let g be ((-32)/6)/(60/(-360)). Let y = g - -18. Calculate the remainder when 449 is divided by y.
49
What is the remainder when 22/(-77) - 2495/(-35) is divided by 53?
18
Let u(m) = -m**2 + m + 50. Let p be u(7). Suppose p*y = 538 + 1014. What is the remainder when y is divided by 15?
14
Calculate the remainder when 98 is divided by (26/4)/(1 - (6 + 279/(-54))).
20
Suppose -22 = -f - h, -2*f - f + 51 = -2*h. Let x(t) = 371 - 80 + 16*t - 38*t**2 + 37*t**2 - 98 + 324. Calculate the remainder when f is divided by x(-16).
4
Suppose -2747*v = -2786*v - 531 + 3456. What is the remainder when 5321 is divided by v?
71
Suppose -8*o - 44 = -9*o. Let l(n) = n**2 + 11*n + 17. Let m be l(-14). Let t = m - o. Calculate the remainder when 41 is divided by t.
11
Suppose -124*h = 191*h - 97140 - 114225. What is the remainder when h is divided by 138?
119
Calculate the remainder when -2*1/(10/(-41365)) - (-10 + 4) is divided by 24.
23
Suppose 33 = 4*j + 17. Suppose j*p + 5*k = 4*k + 110, -3*p + 79 = -k. Let s(u) = -6*u - 3. Calculate the remainder when p is divided by s(-3).
12
Calculate the remainder when (60/(-150))/(2/2) - 122382/(-30) is divided by 30.
29
Let v(t) = 9*t + 4056. What is the remainder when v(44) is divided by 99?
96
Suppose 277*v = 253*v + 1104. What is the remainder when 6712 is divided by v?
42
Suppose -114*i = -117*i + n + 652, -5*n = 4*i - 825. What is the remainder when i is divided by 77?
61
Suppose 520 = 273*t - 260*t. What is the remainder when 129 is divided by t?
9
Suppose -25 = 7*u - 12*u. Suppose -4*x + 508 = -o, -u*x + 616 = -2*o - 16. Calculate the remainder when x is divided by 232/9 + (-4)/(-18).
24
Suppose -709 = -5*i + 221. Let s = i - 171. What is the remainder when 204 is divided by s?
9
Let y be ((-36)/(-10))/((-4)/(-10)). Suppose 3*n - 33 = -y. Let t(q) = q**2 + 25*q - 209. What is the remainder when t(8) is divided by n?
7
Suppose -4*s = h - 58, -4*s = -473*h + 469*h + 152. What is the remainder when 1590 is divided by h?
36
Let x(k) = -33*k**3 + 18*k + 37. Let f be x(-2). Suppose 0 = 30*l - 35*l + f. What is the remainder when 581 is divided by l?
51
Let x(t) = -t**3 - 23*t**2 - 141*t + 148. What is the remainder when x(-15) is divided by 273?
190
Let g = 107 - 63. Let x = -41 + g. Suppose 8 - 191 = -x*l. What is the remainder when l is divided by 9?
7
Suppose u = 5*u + 12. Suppose -b + 10 = c, 47*b + 2*c = 44*b + 28. Calculate the remainder when u/(-3) + 0 + 27 is divided by b.
4
Suppose 0 = 5*h - 2*b - 561 - 1032, 2*h - 4*b = 634. What is the remainder when h is divided by 308?
11
Let u(m) = -210*m + 1353. Calculate the remainder when 9105 is divided by u(6).
84
Suppose 3*b + 1200 = -2*f, 17*f - 20*f + 2*b = 1813. Let a = 638 + f. What is the remainder when 149 is divided by a?
9
Suppose 38*b + 22*b = 11*b + 14945. Calculate the remainder when b is divided by 5.
0
Let z(a) = a**3 + 87*a**2 + 162. What is the remainder when 336 is divided by z(-87)?
12
Let j(q) = 110*q - 4928. What is the remainder when 46 is divided by j(45)?
2
Suppose 82*p - 64*p - 11574 = 0. What is the remainder when p is divided by 16?
3
Let t = 5380 + -5344. What is the remainder when 144 is divided by t?
0
Calculate the remainder when 198/(-22) - -13 - -21344 is divided by 50.
48
Let j = -5329 - -5336. Calculate the remainder when 218 is divided by j.
1
Let x = -205 - -291. Let t = 216 + x. Calculate the remainder when t is divided by 61.
58
Let l be 1/((3/5)/3). Let g = 1141 - 1138. Suppose g*r + 180 = l*r. What is the remainder when r is divided by 7?
6
Suppose 4*k + 11 = 5*i, 0 = -k + 1. Let l = -125 + 129. Calculate the remainder when 39/((-1)/1 + l) is divided by i.
1
Suppose -220*x - 4207 = 29*x - 16159. Calculate the remainder when 520 is divided by x.
40
Suppose -2*x + 251 - 51 = 0. Suppose 3*r = -4*u + 136, -100*r + 101*r - 58 = 5*u. Calculate the remainder when r is divided by x/2*3/6.
23
Suppose 0 = 4*w - 7*w + 48. Let y = -434 + 113. Let u = -311 - y. What is the remainder when w is divided by u?
6
Suppose 0 = 197*o + 254*o - 14870 - 8582. Calculate the remainder when 372 is divided by o.
8
Suppose -t + 1137 = 4*o, 0 = o - 1263*t + 1260*t - 268. Calculate the remainder when o is divided by 40.
3
Let h = 161 + 217. What is the remainder when h is divided by 362?
16
Suppose -21*q + 59439 - 7023 = 0. Calculate the remainder when q is divided by 18.
12
Calculate the remainder when 778*(14/4 - 114/38)*1 is divided by 30.
29
Let b be (-2)/7 + (-116)/(-14). Suppose -31 - b = -u. Suppose 0 = 5*s - 3*r - 2*r - 600, 0 = 2*r + 10. Calculate the remainder when s is divided by u.
37
Let t(j) be the third derivative of -3*j**4/8 + 5*j**3/3 + 19*j**2. Calculate the remainder when t(-5) is divided by 12.
7
Let n = -8243 - -8268. Calculate the remainder when 333 is divided by n.
8
Let a = -15883 + 15857. Let z(b) = 4*b**3 + 40 - 5*b**3 - 27*b**2 - 27*b + 14. Calculate the remainder when z(a) is divided by 14.
10
Let q(k) = 2*k**3 + 21*k**2 + 31*k - 7. What is the remainder when 1307 is divided by q(-6)?
128
Let a = 319 - 328. Let f = a - -103. Calculate the remainder when f is divided by 35.
24
Let j(p) = 154*p - 10. Let c be j(-1). Let o = c - -167. Calculate the remainder when 8 is divided by o.
2
Suppose -6*i + 71 - 65 = 0. What is the remainder when i/(-3)*(-96 - -3) is divided by 23?
8
Let z = 2 - -5. What is the remainder when (-114)/(-494) - 696/(-26) is divided by z?
6
Suppose -4 = 2*p - 8. Let f be 3*p*(-62)/(-12). Let o = f - 22. Calculate the remainder when 15 is divided by o.
6
Let d(j) = -2*j + 55. Let x = -10 + 160. Let a = x - 134. What is the remainder when d(0) is divided by a?
7
Suppose 11*d + 132 = 9*d. Let x = -53 + 59. Calculate the remainder when (2/3)/((-4)/d) is divided by x.
5
Suppose 702 = -3*g + 156. Let a = 461 + -588. Let n = a - g. What is the remainder when n is divided by 28?
27
Let z(l) = -l**3 - 8*l**2 - l - 85. Let y be z(-9). Suppose 4*r = -p + 362, r - 1930 = -5*p + y*r. Calculate the remainder when p is divided by 35.
32
Let u = -27 - -35. Suppose 2*m = -5*v, -4*v + 0*v + 7 = 3*m. Suppose -x - 2 = -6, -m*x - 28 = -4*l. Calculate the remainder when l is divided by u.
4
Let s(h) = 781*h**2 + 11*h + 2. Calculate the remainder when s(-1) is divided by 252.
16
Suppose -9*k + 113 = -31. Let b = k - 32. What is the remainder when 10 is divided by (b/(-32))/(2/12)?
1
Suppose 5*n - 1094 = i, 5*i + 320 = 2*n - 90. Calculate the remainder when 459 is divided by n.
19
Let n = -365 + 362. Calculate the remainder when 6/(72/(-436))*n is divided by 44.
21
Let q = -1479 - -1508. What is the remainder when 405 is divided by q?
28
Let n(k) = k**3 - 35*k**2 + 62*k + 22. What is the remainder when n(36) is divided by 111?
109
Let v = 216 - 196. What is the remainder when 164 is divided by -14*-4*15/v?
38
Suppose 297*s = 312*s. Suppose 3*i = -13 + 28, s = 2*y + i - 147. Let h(k) = -9*k. Calculate the remainder when y is divided by h(-4).
35
Let c be -12 + 16 - (-16 + 0). Suppose -10*o + 0 - c = 0. Calculate the remainder when 6 is divided by (-4)/o*(-4 + 5).
0
Let c(i) = 4*i**3 + 35*i**2 - 12*i - 6. What is the remainder when 2050 is divided by c(-9)?
13
Let k(l) = -l**2 - 195*l - 2659. Calculate the remainder when 3667 is divided by k(-15).
18
Suppose -32*a - 8*a + 1230 = -16970. What is the remainder when a is divided by 3?
2
Suppose 15*q - 168 = 2352. Suppose -12*c = -112 - 188. What is the remainder when q is divided by c?
18
Sup