der when 9 + ((-102)/25 - 5) + (-16454)/(-50) is divided by 36.
5
Suppose 5*n + 0*n - 10 = 0. Suppose n*x = -3*y + x - 1546, 2053 = -4*y - 3*x. Let q = y + 754. What is the remainder when q is divided by 40?
37
Suppose -5*j + 2*y = -43, -4*j - 10*y = -6*y - 12. Calculate the remainder when 1725 is divided by j.
3
Let z(k) = -k**3 + 28*k**2 - 93*k - 32. What is the remainder when 455 is divided by z(24)?
15
Suppose 0 = 301*y - 169*y - 498168. What is the remainder when y is divided by 13?
4
Let u(n) = n**2 + 2*n - 13. Let a be u(-4). Let t(w) = -w**2 - 33*w - 7. Calculate the remainder when t(a) is divided by 17.
14
Suppose -a + q = 6*q + 34, 41 = -a + 2*q. Let z = a - -27. Let t = 78 + z. What is the remainder when t is divided by 17?
15
Let c be (10/4 + 8)*(-40)/(-6). Suppose -17*d + 10*d + c = 0. What is the remainder when 38 is divided by d?
8
Let b = 2645 - 2639. Suppose -v + f + 84 = 0, 0*f + 2*f = 8. Calculate the remainder when v is divided by b.
4
Suppose -2*y + 14*y + 60 = 0. Let t be y + (-23)/(-2) - 1/(-2). Calculate the remainder when 39 is divided by 13*(t - 4)/3.
0
Let h(m) = 2*m**2 - 23*m + 61. Calculate the remainder when 1893 is divided by h(8).
3
What is the remainder when 1257 is divided by 7 - ((-8)/(-6))/((-47)/282)?
12
Suppose 0 = 3*o + 6*o - 135. Suppose b - 590 = -3*l, -17*l + o*l + 2*b + 396 = 0. Calculate the remainder when l is divided by 34.
27
Let i(p) = -2*p**3 + 37*p**2 - 22*p + 226. What is the remainder when i(10) is divided by 57?
53
Suppose 0 = -5*t - 2*z + 845, 0*t + 5*t - 850 = -3*z. Calculate the remainder when t is divided by 39.
11
Let i = -60 + 45. Let j be (0 + (-50)/i)*(-9)/(-5). Suppose -j*v = -13 - 59. Calculate the remainder when 49 is divided by v.
1
Let u = 56 - 51. Suppose 0 = -u*c + l - 5, 0*c - l = -c - 5. Suppose -5*b + 155 + 190 = c. Calculate the remainder when b is divided by 36.
33
Let x = -2760 - -2935. Calculate the remainder when x is divided by 157.
18
Suppose 15*k = 20*k - 10. Suppose g = -f + 16, -3*g - 2*f = k*g - 65. Calculate the remainder when 34 is divided by g.
1
Let q(t) = -18*t - 29. Let g be q(-4). Suppose -46*m + 51 = -g*m. Suppose -m = 3*w - 227. Calculate the remainder when w is divided by 19.
13
Let w(p) = p - 14. Let h(z) = -z**3 - 6*z**2 - 9*z + 1. Let i be h(-5). What is the remainder when 1/4 - (-39)/4 is divided by w(i)?
3
What is the remainder when 638 is divided by 105/(-350) + (72828/(-40))/(-9)?
32
Let a = 10767 + -10353. Calculate the remainder when a is divided by 205.
4
Suppose -z = -4*c + 4*z + 65, -c = -4*z - 30. Suppose -4 = -3*u - c, 0 = 4*a - 4*u - 168. Let f = -30 + a. Calculate the remainder when 26 is divided by f.
6
Let n(s) = -s**2 - 35*s + 31. What is the remainder when 1538 is divided by n(-25)?
133
Let h be 1*(-6 - 1) + 4. What is the remainder when 153 is divided by 32 + -2 - 3/h?
29
Suppose 30820 = 33*p + 21*p - 8*p. Calculate the remainder when p is divided by 20.
10
Suppose 1289*i - 1309*i = -3640. What is the remainder when i is divided by 55?
17
What is the remainder when 309 is divided by (((-11661)/(-46))/39)/(3/12*2)?
10
Suppose -577 + 3475 = 63*w. What is the remainder when w is divided by 3?
1
What is the remainder when 258 is divided by (-152)/266*((-1)/(-1) + -8)?
2
Let j = 12226 + -12102. What is the remainder when 202 is divided by j?
78
Let w = 47103 + -47079. Let d(o) = -o**3 + 7*o**2 - 6*o + 5. Calculate the remainder when w is divided by d(6).
4
Let s = -48293 - -48297. Let j(r) = r**3 + r + 4. Let h be j(0). Suppose 2*l + 18 + 24 = h*u, 0 = 3*u + 3*l - 36. What is the remainder when u is divided by s?
3
Suppose -k - 48 = -4*s + 91, 4*k = 5*s - 160. Suppose u + 3*z = 18, -4*z + 0*z = 2*u - s. What is the remainder when 63 is divided by u?
9
Let k be ((-4)/3)/(-4) - (-112)/24. Let z = k + -65. Calculate the remainder when ((-430)/z)/(1/6) is divided by 15.
13
Suppose 0 = -6*t - 26 + 104. Suppose 51 = t*n - 53. What is the remainder when 78 is divided by n?
6
What is the remainder when 1/14*302 + 8160/224 + -36 is divided by 18/(2 - (-2)/(-4))?
10
Suppose 3*g = 47 + 67. Calculate the remainder when g is divided by 5.
3
Let k = 10716 + -10538. Suppose -2*p + 0*p - 362 = -4*o, o + 2*p = 88. Calculate the remainder when k is divided by o.
88
What is the remainder when 15/40 + (-129)/24 - -213 is divided by 4?
0
Suppose 0 = -m + 4*v + 107, -2*v - 51 = -m + 66. What is the remainder when m is divided by (-115)/(-10) - -2 - (-2)/(-4)?
10
Suppose -2588 - 373 = 7*m. Let r = m - -1161. What is the remainder when r is divided by 74?
72
Let q = -418 - -529. Suppose -357 + q = -6*j. What is the remainder when j is divided by 26?
15
Calculate the remainder when 132 is divided by ((-754)/117)/((-20)/90).
16
Let v(g) = -2*g + 359. Suppose 4*b + 5*d - 143 = 0, -3*d = -b - b + 77. Calculate the remainder when v(-5) is divided by b.
36
Let q(u) = 2*u**2 + 6*u + 4. What is the remainder when -3 - (192/18)/((-32)/240) is divided by q(-6)?
37
Suppose 3*v + 24940 = -30*m + 35*m, 4*v - 4988 = -m. What is the remainder when m is divided by 119?
109
Suppose 5*f + 23 + 18 = b, -5*b + 205 = 5*f. Calculate the remainder when 597 is divided by b.
23
Suppose 5*h - 3*w - 20 = 0, 24*h + 5*w + 8 = 26*h. What is the remainder when 1831 is divided by h?
3
Let u = 18 + 17. Let x = u - 35. Suppose -3*j = -s - 74, -5*j + x*s + 123 = -2*s. Calculate the remainder when j is divided by 10.
5
Suppose 15 = 5*y - 5, 3*k + 3*y - 18 = 0. Suppose 4*r - 3*r + 2*z = 24, -5*r - k*z + 144 = 0. Calculate the remainder when 66 is divided by r.
6
Let m(q) = q + 43. Let n be m(-5). What is the remainder when n*1 - 28/(-7) is divided by (-2)/(-12) - 195/(-18)?
9
Let l(v) = 7727*v + 7740. Suppose -3*w - 3 = -4*w - x, -4*x = -4*w - 12. Calculate the remainder when (w + 62)/(2 + -1) is divided by l(-1).
10
Let w(o) = 3*o**2 - 14*o - 618. What is the remainder when w(-18) is divided by 26?
8
Suppose -13*s + 1362 = 270. Calculate the remainder when 95 is divided by s.
11
Let g = -135 + 706. Suppose 561*q - g*q + 20 = 0. Calculate the remainder when 27 is divided by q.
1
Suppose -44*d - 5874 = -24662. What is the remainder when d is divided by 15?
7
Suppose 4*d - 2 = 14. Suppose -8*l + 127 = 4*j - 3*l, -d*l - 20 = 0. What is the remainder when 106 is divided by j?
30
Let u(a) = -a**3 + a**2 + 1. Let b(t) = -3*t**3 + 10*t**2 - 10*t + 22. Let c(o) = b(o) - 2*u(o). What is the remainder when 186 is divided by c(6)?
26
Calculate the remainder when -3*116/(-3) - (-96 + 91) is divided by 40.
1
Let c(b) = 6 + 11 - 2*b + b**2 - 23. Let n be c(4). Suppose -2*x = -2*p - 78, 2*x + x + n*p = 142. Calculate the remainder when x is divided by 5.
4
Let t(b) = -b**3 + 36*b**2 - 32*b + 59. What is the remainder when t(35) is divided by 31?
9
Suppose -5*v - 67 = -4*j + 52, 0 = 2*j + v - 77. Suppose -4*m = -j - 76. What is the remainder when 38 is divided by m?
10
Let d = 22808 - 22706. What is the remainder when 2048 is divided by d?
8
Suppose 211 = 5*k - 269. Calculate the remainder when 191 is divided by k.
95
What is the remainder when (6153/15 - -7) + (120/(-25))/(-6) is divided by ((-5)/3)/((-5)/90)?
28
Let l(r) = 144*r**2 - 35*r - 2. Calculate the remainder when l(2) is divided by 131.
111
Let v = 33 - 19. Suppose -y + 1 + 9 = -s, -2*y + 26 = 4*s. Calculate the remainder when 18/21*(2 + v + 5) is divided by y.
7
Let d(w) = w**3 - 6*w**2 + 8*w + 7. Let a be 2 + -6*(-3)/(54/15). What is the remainder when d(a) is divided by 39?
34
Let l(q) = -q - 22 + 44 - 25. What is the remainder when 52 is divided by l(-28)?
2
Suppose -140*w = 72*w - 1090316. Calculate the remainder when w is divided by 105.
103
Let d(q) = -q**3 - 2*q**2 - 8*q - 9. Let o be d(-5). Let k = 135 - o. Calculate the remainder when k is divided by 17.
12
Suppose -5*d = -2*a - 2*a + 123, -111 = -4*a + d. Suppose 138*g - 5669 = 16411. What is the remainder when g is divided by a?
25
Let j = 182 - 175. Suppose 32 = -g + 34. Calculate the remainder when 42 is divided by (g + j)*(1 + 0).
6
Let d = 96 - 131. Let i = 27 - -29. Let m = d + i. Calculate the remainder when 59 is divided by m.
17
Let a(f) = -2*f - 14. Suppose 0 = v + 4*i + 11 + 1, 3*i - 48 = 4*v. What is the remainder when a(v) is divided by 4?
2
Suppose -65*p = 11*p - 10*p - 39