. Suppose -4*v + l*v = -52. What is the remainder when v is divided by 7?
5
Let x = -478 + 688. Suppose 13*z + 54 = x. Calculate the remainder when 33 is divided by z.
9
Let j = 242534 + -242452. Suppose 4*f + 2*a - 1270 = 0, f + 6*a = 3*a + 325. Calculate the remainder when f is divided by j.
70
Suppose -3*p + 736 = 5*s - 95, 554 = 2*p + 5*s. Let f = 553 - p. Calculate the remainder when f is divided by 56.
52
Suppose 248*i - 214785 = 221*i. Calculate the remainder when i is divided by 12.
11
Let i = 19914 + -19819. Suppose 2*q + q + 9 = 0, 5*q = 2*j - 39. What is the remainder when i is divided by j?
11
Let n(h) = 3*h**2 - 6*h + 1. Suppose y + 3*d + 7 = -2, -4*y = 5*d + 8. Let s be n(y). Let z(g) = 3*g - 24. What is the remainder when 19 is divided by z(s)?
1
Let j(v) = -v + 25 + 26*v**2 - 25*v**2 - 2*v. Calculate the remainder when j(13) is divided by 26.
25
Let l be 16/6 + 48/(-72). Suppose -2*x + 81 = 17. Calculate the remainder when l*(-4)/((-16)/(-6))*-42 is divided by x.
30
Let f = -44 - -53. Suppose 4*a - 15 = -7. Suppose a*n - 7*n = -160. Calculate the remainder when n is divided by f.
5
Suppose -5*b + u + 7214 = 0, 5*u - 10*u = 4*b - 5719. Calculate the remainder when b is divided by 17.
13
Let l(u) = 5*u**3 - 36*u**2 + 8*u - 6. Let d be l(7). Let y = d - -42. Calculate the remainder when 168 is divided by y.
39
Let x be (3/24)/((-53)/(-424)). Suppose -f + 61 = 4*d - 3, -x = d - 4*f. Let j = -10 - -18. Calculate the remainder when d is divided by j.
7
Let l = 327 - 241. Let s = l + -28. Suppose 0 = x - 9 - 6. Calculate the remainder when s is divided by x.
13
Let a(x) = -182*x + 103. Suppose 85*z = 21*z + 1920. What is the remainder when a(-7) is divided by z?
27
Suppose 2*n + 6*n = 816. Suppose -210 = -28*q + 294. Calculate the remainder when n is divided by q.
12
Let n = 1751 - 1680. Suppose 5*d - 11 = -2*g, 2*d = 5*g - 4 - 38. Calculate the remainder when n is divided by g.
7
Suppose -6 = 4*n + 14. Let f(k) = -41*k - 8. Let m(r) = -6*r - 1. Let b(l) = -f(l) + 7*m(l). Calculate the remainder when 34 is divided by b(n).
4
Suppose -v - 4152 = -51*v + 4598. Calculate the remainder when 4898 is divided by v.
173
Calculate the remainder when 1083 - (-4 - (-19 + (-36)/(-4))) is divided by 6.
3
Suppose 3*c - 206 = -5*y, 5*c = 4*y - y + 332. Suppose -126 = -4*g - 45*k + 40*k, g = -20*k + 69. Calculate the remainder when c is divided by g.
9
Let v = -133 + 85. Calculate the remainder when v/(-10)*(104/16 + 6) is divided by 31.
29
Let q = -127 + 84. Let l = q - -63. Calculate the remainder when 117 is divided by l.
17
Suppose -5*t + 3*q = -21, 3*t - 13 + 2 = q. Suppose -1 = 10*u - 121. Calculate the remainder when t/4 + 466/8 is divided by u.
11
Let w(i) = -4*i**2 + 202*i + 847. What is the remainder when w(42) is divided by 230?
205
Suppose 0 = 4*x - 49161 + 47977. Calculate the remainder when 2373 is divided by x.
5
Suppose -61 = -2*z - 9. Let m = z + -50. Let l = m + 54. Calculate the remainder when l is divided by 16.
14
Let h(j) be the second derivative of j**5/20 + 5*j**4/12 + j**3/2 - j**2/2 + 2*j. Let z = 76 + -72. What is the remainder when h(z) is divided by 39?
38
Let r = -217 - -324. Let o(p) = -15*p - 35. Let q(y) = 3*y**3 + 2*y**2 - 2*y - 4. Let h be q(-1). Calculate the remainder when r is divided by o(h).
7
Let t = -97 - -290. Calculate the remainder when t is divided by 112/(-14) + (-14640)/(-75) - (-12)/(-10).
7
Suppose 0 = -r - 5 + 13, -y = 2*r - 92. Calculate the remainder when 12157 is divided by y.
73
Suppose -2*n + 2 = 4*o - 6, -8 = -2*n. Let a(z) = z + 19. Calculate the remainder when 58/(-13 - 16) + 39 is divided by a(o).
18
Let q = 24 + -25. What is the remainder when (-2)/((-4)/(-2) - 384/186) is divided by 8/(-1)*q*(-6)/(-6)?
7
Let y(q) = 77*q**2 - 8 + 3*q + 0 - 7*q**2 - 36*q**2 - 4*q. Calculate the remainder when y(-3) is divided by 16.
13
Let f = -178169 - -178202. Let u(m) = m**3 + 6*m**2 + 3*m. Calculate the remainder when f is divided by u(-2).
3
Let v be (-2 - -40) + 0 + 88/(-22). Suppose v*b = 29*b + 560. What is the remainder when b is divided by 19?
17
Let l = -8337 + 12519. Calculate the remainder when l is divided by 46.
42
What is the remainder when 237 is divided by ((-30)/20)/((-27)/1548)?
65
Let u be (2*-1)/(4/(-8)). Suppose -u*n - 2 = 10. Calculate the remainder when -1 + n - (-1 + -26) is divided by 8.
7
Let r be -10 - (-4 + 0)*(-2)/(-4). Let d(k) = -8*k**2 + 107*k - 9. Calculate the remainder when (r/(-8))/(2/228) is divided by d(13).
24
Suppose 32*q - 37*q + 4*p = -5810, -5*p = -4*q + 4648. What is the remainder when q is divided by 11?
7
Let q(m) = 57*m + 2*m**3 - 38*m - 9 - 17*m**2 - 36*m. Calculate the remainder when q(10) is divided by 31.
28
Suppose -1656 = 4*q + 4*q. Let i = q + 559. What is the remainder when i is divided by 59?
57
Suppose -b + 135 = 3*d - 0*b, 2*d - 90 = b. Suppose -d = -2*o - 37. What is the remainder when 62 is divided by o?
2
Let r = -44 - -40. Let s be r - 13/((-52)/24). Suppose -s*u - 15 = -41. Calculate the remainder when 15 is divided by u.
2
Suppose -3*u + 46 = 5*o, 3*o + 0*u - 18 = 3*u. Suppose 234 = o*p + 2. What is the remainder when 83 is divided by p?
25
Let g(s) = -362*s + 4226. What is the remainder when 247 is divided by g(11)?
3
Let c(b) = 31*b**2 + 4*b + 31. What is the remainder when c(-4) is divided by 103?
99
What is the remainder when 878 + 40*((-161)/28 - -6) is divided by 5?
3
Let n(a) = 28*a**2 - 494*a + 26. Calculate the remainder when n(-11) is divided by 177.
175
Suppose -11*p - 1660 = -p. Let b = p + 167. What is the remainder when 5 is divided by b?
0
Let l(k) = 13*k**2 - 12*k - 4. Suppose -900 - 1400 = -5*h. What is the remainder when h is divided by l(3)?
75
Suppose 20*h - 20518 = -13*h + 29477. Calculate the remainder when h is divided by 80.
75
Let q(o) = o**3 + 10*o**2 - o + 10. Suppose 0*l = -3*l - 27. Calculate the remainder when q(l) is divided by ((-34)/3)/(2/(-3) + 0).
15
Let k = -54 + 105. Let v = 164 - k. Suppose 4*i = 2*n + 92, -6*i + 92 = -2*i + 2*n. What is the remainder when v is divided by i?
21
Suppose 26*x + 6327 + 3813 = 0. Let q = 445 + x. What is the remainder when 384 is divided by q?
54
Let g(i) = i**2 - 11*i - 60. Let b be g(-5). Suppose -18*k + 23*k - 2*z = b, -2*k + 2*z = -8. Calculate the remainder when 13 is divided by k.
1
Suppose -4*u - 4*t = -2688, 0 = -2*t - 47 + 61. Calculate the remainder when u is divided by 317.
31
Let i = 1255 - 1248. Let l(r) = 3*r - 6 - 7*r**2 + r + 7*r - r**2 + r**3. Calculate the remainder when l(8) is divided by i.
5
Suppose 2*a - 190 = -4*p, -4*p + 3*a = -8*p + 189. Suppose -p*t = -47*t - 7. What is the remainder when 40 is divided by t?
5
Let p = -17 - 5. Let h = p + 21. Calculate the remainder when h/((-2)/174) - -4 is divided by 23.
22
What is the remainder when (-617)/(-3) + (-80)/(-60) is divided by 166?
41
Let w(a) = -a + 1. Let c(j) = -18*j + 8. Let f(n) = 2*c(n) - 44*w(n). Calculate the remainder when f(5) is divided by 3.
0
Suppose -3*d + 3*m = 8*m - 46, -m = 5*d - 84. Suppose 3*t = 4*a + 348, 339*a - 344*a - 580 = -5*t. What is the remainder when t is divided by d?
14
Suppose -10*i - 341 = -1271. Suppose 47 = -l + i. What is the remainder when l is divided by 16?
14
Suppose 4*c + 202 = 5*d, -4*c - 46 = d + 144. What is the remainder when 154/4 - 120/c is divided by 14?
13
Suppose 4*p - 4 = 5*f - 134, -f = 5*p - 55. What is the remainder when 25017 is divided by f?
27
Let r(t) = -2*t**2 - 13*t + 12. Let q be r(-7). Suppose 386 = -q*u + 7*u. Calculate the remainder when u is divided by 14.
11
Let z = 1363 - -2815. What is the remainder when z is divided by 38?
36
Let u(m) = m**2 - 4*m - 8. Let l be u(-2). Let i(k) = k**3 - 5*k - 1. Calculate the remainder when i(l) is divided by 5.
3
Suppose -7*k + 167 - 27 = 0. What is the remainder when 71 is divided by k?
11
Let t = -258 + 263. Suppose 4*n - 835 = -b + 308, t*n - 2*b = 1445. What is the remainder when n is divided by 58?
55
Let a = -12215 + 12400. What is the remainder when 3884 is divided by a?
184
Suppose -5*y + 3*k + 24 = 0, 3 = -5*y + y - 5*k. Let d(o) = o**2 - 12*o + 12. Let b be d(5). What is the remainder when (-4 + 4 - b) + y is divided by 10?
6
Let o(t) = 46*t**2 - 351*t - 2478. Calculate the remainder whe