 divided by s?
8
Let m = 49 - 34. Suppose -5*p = v + 38, -p + 4*p - 2*v + m = 0. Calculate the remainder when 103 is divided by p/35 + 352/10.
33
Let b be ((-4)/(-60)*55)/((-2)/(-6)). Suppose 12*u - 12 = b*u. Calculate the remainder when 67 is divided by u.
7
What is the remainder when 11/(-22)*6 + 1112 is divided by 276?
5
Let j be 42/(7 - (-3)/(6/(-10))). Suppose -j*i + 17*i = -120. What is the remainder when 178 is divided by i?
28
What is the remainder when 6 is divided by (-236)/32 + 7 - 490/(-112)?
2
Suppose l - 50 = 28. Suppose 2*a - 7 = 5*u - 83, 0 = 5*u - a - l. Suppose -13 = -p + u. Calculate the remainder when 112 is divided by p.
25
Let a = 2097 + -2049. What is the remainder when a is divided by 28?
20
Suppose 4*h = -16, -4*o - 5*h + 8*h + 112 = 0. Let f(t) = 40*t + 4. Let b be (-4 + 2)/((-6)/9). What is the remainder when f(b) is divided by o?
24
Suppose 8*x + 2*m = 6*x + 368, 8 = 2*m. What is the remainder when x is divided by 64?
52
Let p(c) = 2*c**2 - 70*c - 56. Suppose 205 = 5*m - 5*j, -126 = -3*m - 5*j - 43. What is the remainder when 73 is divided by p(m)?
9
Suppose -v + 205 = -3*f, 3*f + 2*v + 360 = -2*f. Let o = -1386 + 1202. Calculate the remainder when 103 is divided by o/(-7) + 20/f.
25
Let l = -714 + 665. What is the remainder when (-181)/(-6) - l/(-42) is divided by 6?
5
Let a = 10799 - 9590. Calculate the remainder when a is divided by 173.
171
Suppose 12*w = 11*w + 3. Suppose -w*s + 2*s = -3*s. Suppose -2*q + 12 = -a - 41, s = -3*a + 9. What is the remainder when 53 is divided by q?
25
Calculate the remainder when (-9)/(-6)*(-27456)/(-72) is divided by 290.
282
Suppose -1995 + 180 = -11*j. What is the remainder when j is divided by 123?
42
Let i = 14 - -30. Suppose -36*p + i*p - 2888 = 0. What is the remainder when p is divided by 46?
39
Suppose 4*x + 255 = 5*f, 3*f + f + x = 183. What is the remainder when 1584 is divided by f?
33
Let x = -8992 + 9213. Calculate the remainder when x is divided by 12.
5
Suppose -2*b + 96 = -z + 6*z, 3*b - 106 = 2*z. Suppose -2*k - 10 = -5*s, -2*k + 16*s = 21*s - 50. What is the remainder when b is divided by k?
8
Let c(w) = 53*w**3 + 425*w**2 - 7*w - 19. What is the remainder when 6766 is divided by c(-8)?
100
Let g(u) = -u**3 + 13*u**2 + 27*u - 39. What is the remainder when 454 is divided by g(14)?
25
Let q(w) = w**3 - 9*w**2 - 21*w - 11. Let p be q(11). Suppose 4*r - 100 = -4*c - c, p = -4*c + 2*r + 54. What is the remainder when c is divided by 16?
0
Let n(v) = -v**2 - 7*v + 10. Let m be n(-5). Suppose 17 = 5*p - 3. Suppose x - m = -p*x. Calculate the remainder when 14 is divided by x.
2
Calculate the remainder when ((-186)/(-5))/(8/20) is divided by 1884/84 - ((-72)/28 - -2).
1
Suppose 5*r + 22*r + 16*r = 774. What is the remainder when 840 is divided by r?
12
Suppose 0 = -1172*p + 1178*p - 1404. Calculate the remainder when 1161 is divided by p.
225
What is the remainder when 98 is divided by 13795/534 - (-1)/(0 - -6)?
20
Let o be 4 - 6 - (-4 + -2647 + -4). Suppose -3*m + 8*m = -4*b + o, 2*m = 5*b - 3341. What is the remainder when b is divided by 21?
16
Let t(n) = -15*n - 56. Let c(i) = -9*i - 140. Let m be c(-15). What is the remainder when 54 is divided by t(m)?
16
Let y(l) = -208*l + 5014. Let x(b) = -b**2 - 7*b - 8. Let f be x(-6). What is the remainder when y(23) is divided by (f/(-5))/((-3)/(-435))?
56
Let q(c) = -c**2 - 32*c - 65. Suppose -34 = -4*t - 0*a + 2*a, -23 = -3*t + 4*a. Calculate the remainder when q(-27) is divided by t.
7
Let m(y) = -2*y + 33. Let q(v) = -5*v - 12. Let r be q(0). Suppose 4*a - 63 = 17. What is the remainder when m(r) is divided by a?
17
Suppose 1 = -q - 5*u + 34, 4*q - 5*u - 7 = 0. Suppose n + 15 = 109. Suppose -5*h + n = 3*v, -4*v + 5*h = -62 - 5. What is the remainder when v is divided by q?
7
Suppose -23*t + 1383 = -19282 - 4589. What is the remainder when t is divided by 50?
48
Let p be (-3)/3 - (-4 + 1). Suppose 2*o - p*s - s = 80, 5*s = -3*o + 101. What is the remainder when 105 is divided by o?
31
Let h(w) = -3*w**3 + 36*w**2 + 34*w - 211. Calculate the remainder when 401 is divided by h(12).
7
Let u(b) = -12*b**3 + 3*b**2 + 14*b - 1. What is the remainder when u(-6) is divided by 109?
108
Let n = -1754 + 2611. What is the remainder when n is divided by 78?
77
Let u(m) = 105*m - 4138. Calculate the remainder when 732 is divided by u(41).
64
Let p be (8/(-10))/((4/(-50))/1). What is the remainder when 86 is divided by p/(6 - (-95)/(-20))?
6
Suppose -s = -1, -3*r - 3*s + 6 + 84 = 0. What is the remainder when (24/(-40))/(1/(-145)) is divided by r?
0
Let f = 31 - 17. Let q = 3563 + -3514. What is the remainder when q is divided by f?
7
Let g(q) be the first derivative of q**3/3 - 6*q + 71. Calculate the remainder when 299 is divided by g(7).
41
Let a = 597 + -585. Suppose -18*v - a = -22*v. Calculate the remainder when 10 is divided by v.
1
Suppose 0 = 92*w + 29*w - 77198. Calculate the remainder when w is divided by 55.
33
Let j(t) = 20*t**2 - 24*t + 4. Let v be j(4). Suppose v = 15*s - 3*s. Calculate the remainder when 67 is divided by s.
10
Let j = 131 - 7. Calculate the remainder when (5 + j/(-28))/((-2)/(-889)) is divided by 32.
30
Let c(f) = -f**2 + 15*f + 23. Let d be c(16). Let u = d + 5. Suppose -u*b + 15*b - 96 = 0. Calculate the remainder when 94 is divided by b.
30
Suppose 0 = 35*g + 7*g + 313 - 1531. What is the remainder when 58 is divided by g?
0
Let n(z) = z**3 + 3*z**2 - 7*z - 12. Let d(j) = j**2 - j - 1. Let h(g) = -5*d(g) + n(g). Calculate the remainder when h(5) is divided by 15.
13
Suppose -609 = -19*f + 379. What is the remainder when 235 is divided by f?
27
Suppose 1 = -y, -4*x + 11 + 0 = y. Calculate the remainder when 69 is divided by ((-13)/(-3) + -2)*x.
6
Suppose 542 + 1588 = 7*y - 572. Calculate the remainder when y is divided by 33.
23
Let m be (65*-1)/((-27)/6 + 4). Calculate the remainder when 132 is divided by 1192/26 + 20/m.
40
Let o be (-3 - 0/(-3))*(21 - 20). What is the remainder when ((-2)/(-7)*o)/((-50)/4900) is divided by 13?
6
Let g(k) = -61*k - 2 + 4 + 48*k + 29. What is the remainder when g(0) is divided by 10?
1
Calculate the remainder when 561/((390/(-10))/(-13)) is divided by 58.
13
Suppose -548 = -3*b + 5*v + 41, 3*v = -4*b + 708. Calculate the remainder when b is divided by 48.
39
Suppose -17*s + 13552 - 9402 = -18494. Calculate the remainder when 4000 is divided by s.
4
Suppose -71*c = -53*c - 3438. Suppose -3411 = -7*m - c. Calculate the remainder when m is divided by 33.
31
Suppose 129 = t - x, 58*t + 4*x + 258 = 60*t. What is the remainder when 159 is divided by t?
30
Let h(n) = -4*n - 9. Let v = 22 - -110. Suppose m - 2*q = 22, 3*q - v = -5*m + 2*q. What is the remainder when m is divided by h(-4)?
5
Let s(c) = 153*c + 92. Calculate the remainder when 272 is divided by s(0).
88
Let h = 46 - 44. Let a = 11 - h. Suppose k = 1, p - 3*p + 3*k = -a. Calculate the remainder when 7 is divided by p.
1
Suppose -15 = -5*v - 0. Suppose -b + 32 = -w, -120 = -v*b + 2*w - 5*w. What is the remainder when 574 is divided by b?
34
Let f(z) = z**2 - 5*z + 73. Calculate the remainder when 377 is divided by f(6).
61
Let i = 131 - 83. Suppose 4*m - 2 - 4 = -3*x, 0 = 3*m - 5*x - 19. Suppose 4*a = m*a + 17. Calculate the remainder when i is divided by a.
14
Suppose 4*s - 8 = -4*b, 0 = 5*b + s - 2*s - 34. Let f = 44 + b. Suppose 6*j - f = 4*j. Calculate the remainder when j is divided by 7.
4
Let k(c) = c**3 + 34*c**2 + 16*c - 369. Calculate the remainder when k(-32) is divided by 10.
7
Let h(k) = k**3 + 8*k**2 - 2*k - 13. Suppose -l + 7 = -2. Calculate the remainder when h(-8) is divided by (-64)/(-24) + 3/l.
0
Let h(w) = 5 + 9*w + 19*w + 7 - w**2 - 34. What is the remainder when 94 is divided by h(25)?
41
Let t = 175 - 183. What is the remainder when (-1167)/(-51) + t/(-68) is divided by 8?
7
Suppose -320*n = -278*n - 1008. What is the remainder when 4198 is divided by n?
22
Let g(b) be the first derivative of 39*b**2/2 - 172*b + 11. Let t = 252 + -169. What is the remainder when t is divided by g(5)?
14
Let c = 10555 - 10458. Calculate the remainder when 7272 is divided by c.
94
Suppose -5*t = 2*r - 303, 3*r - 460 = -0*r - 2*t. Suppose 386 = 10*w - r. Calculate the remainder when 148 is divided by w.
