e the remainder when (-1)/18 + (-225732)/(-216) is divided by 115.
10
Let f(l) = 56*l - 94. Suppose 17*n - 25*n = -16. What is the remainder when 537 is divided by f(n)?
15
Let v = -46 - -48. Suppose -382 = -3*z - v*r, -r = 5*z - 0*r - 625. What is the remainder when z is divided by 43?
38
Let z(g) = g**3 - 11*g**2 + 16*g - 489. Calculate the remainder when 135 is divided by z(13).
21
Let v = -23 + 9. Let x be (-32)/(-14) + 4/v. Suppose 5 + 11 = x*s. What is the remainder when s is divided by 5?
3
Suppose -6*u + 26 = -22. Let x be 2/(0 + (u/6)/2). Suppose -x*b = 5*z - 174, -5*b - z + 116 = -3*b. What is the remainder when b is divided by 20?
18
Let z(c) = -155*c**2 + 954*c - 12. Calculate the remainder when z(6) is divided by 54.
24
Let g(i) = -17*i - 1854. What is the remainder when 461 is divided by g(-111)?
32
What is the remainder when 47/(893/19152) - -14 is divided by 9?
5
Suppose 1893 = -19*p - 1983. Calculate the remainder when ((11 + -19)/(-24))/((-1)/p) is divided by 24.
20
Let l = -907 + 496. Let v = -372 - l. Calculate the remainder when v is divided by 22.
17
Calculate the remainder when 726 is divided by (2 - (2 + 1))*10/(70/(-1267)).
2
Let t = -52 + -163. Let n = 227 + t. Calculate the remainder when 66 is divided by n.
6
Let z be (4 - (-3030)/20)*2. Suppose -5*s - 4*r + 80 = -1359, s - 5*r - z = 0. Suppose -2*o + 5*o - 42 = 0. What is the remainder when s is divided by o?
11
Let z = 10 - -1. Suppose n - 3*n + 390 = -0*n. What is the remainder when n is divided by z?
8
Let d(z) = -z**3 + 25*z**2 + 42*z - 158. Calculate the remainder when 691 is divided by d(26).
175
Let j be (-248 + -1 - (-6 - -7))/1. Let m = -242 - j. Calculate the remainder when 18 is divided by m.
2
Suppose 37 = -19*o + 20*o. Let v be 120/(-100)*20/3. What is the remainder when -2*(268/v + -3) is divided by o?
36
Suppose 3*s - 720 = -2*y, -s + 326 = y - 35. Let t = y + -355. What is the remainder when 126 is divided by t?
6
Let h = -353 + 349. What is the remainder when 267 - (h - (6 - 9)) is divided by 39?
34
Suppose 3*j - 1 + 10 = 0. Let n = -65 + 90. Calculate the remainder when (135/j)/(-1) + 3 is divided by n.
23
Let i(u) = 99*u + 20217. Suppose -37 = 4*m - 205. What is the remainder when m is divided by i(-204)?
0
Let p(q) = -2*q**3 + 17*q**2 - 2*q - 19. What is the remainder when 154 is divided by p(7)?
40
Calculate the remainder when 124 is divided by (-10)/3*6048/(-360).
12
Let m(b) = -34*b - 1377. What is the remainder when 444 is divided by m(-42)?
36
Let j = -710 + 1261. Suppose -p = 2*n - 330 - 42, 3*n - j = 2*p. What is the remainder when n is divided by 2?
1
Let c be 3/(-3) - (-1 + -3 + 1). Suppose -c*h = -5*h - 9, -o - 5*h = 15. Suppose -6*f + 0*f + 96 = o. What is the remainder when 26 is divided by f?
10
Let c = -208 + 218. Suppose -3*o - 49 = -c*o. What is the remainder when 74 is divided by o?
4
Let l = 83 - 169. Let f = -70 - l. Let u = 13 - -27. What is the remainder when u is divided by f?
8
Suppose -o + 446 = 5*l, 0*o + 12 = -3*o. Suppose -i = -2*d - 21, 3*d + 38 = 2*i - 0*i. Let y = 44 - i. What is the remainder when l is divided by y?
28
What is the remainder when 3659 is divided by (-2266)/(-154) - (-14)/49?
14
Suppose -3*m + 32 = -m. Let c = 115 - 113. Suppose -c*b + 5*h = 8, 2 = 5*b - h - 24. What is the remainder when m is divided by b?
4
Suppose -15*p + 18*p - 26 = -x, 0 = -11*x - p + 350. What is the remainder when 69 is divided by x?
5
Let a = 4056 + -3283. Calculate the remainder when a is divided by 24.
5
Suppose 4*y + 5*b = 1389, 2*y + 2*b + 331 = 3*y. Let v = -16 + 54. What is the remainder when y is divided by v?
37
Let t = -3527 - -3536. What is the remainder when 187 is divided by t?
7
Suppose -11*r + 1842 = -1051. What is the remainder when r is divided by 92?
79
Let l(d) = 4*d**2 + 33*d + 33. What is the remainder when l(-8) is divided by 24?
1
Suppose -f = 7*u - 4*u - 430, u = 3*f + 160. Suppose -2*v - 2 = 4, 5*v + u = j. What is the remainder when j is divided by 7?
4
Let m = -199 + 205. Suppose m*f + f = 182. What is the remainder when 152 is divided by f?
22
Calculate the remainder when -11 + 21 - 144/14 - (-7373)/7 is divided by 151.
147
Let k(d) = d**3 + 24*d**2 + 30*d + 15. Suppose -204*q - 22 = -203*q. What is the remainder when k(q) is divided by 41?
36
Let m(o) = 13*o**3 - 4*o**2 + 5. Let s be m(2). Let p = 34 - s. What is the remainder when (p/5)/((-9)/45) is divided by 6?
5
What is the remainder when 12/(-10)*(-5846)/(-111)*(-2690)/4 is divided by 132?
130
Suppose 73747 = 19*z - 8200. Suppose -25*l = 138 - z. What is the remainder when l is divided by 7?
6
Let h(k) = k**3 - k**2 - 12*k - 2. Let a be h(-2). What is the remainder when (14/1)/(a/55) is divided by 28?
21
Let y(i) = -i**3 - 30*i**2 - 10*i - 19. Let m be y(-35). What is the remainder when 97 is divided by -2 - 64/(-30) - m/(-180)?
25
Let f(p) = 5*p**2 - 84*p + 648. Calculate the remainder when 583 is divided by f(8).
287
Let k(z) = z**3 - 20*z**2 - 67*z + 69. What is the remainder when 386 is divided by k(23)?
41
Suppose -4*l = -8*l + 44. Let o(a) = 3*a + 85. What is the remainder when o(l) is divided by 66?
52
Let i = -21361 - -22612. Calculate the remainder when i is divided by 405.
36
Let s = -6010 - -6059. Calculate the remainder when 473 is divided by s.
32
Suppose -5*k = -0*k - 210. Suppose -2*s - t = -158, 2*s + 4*t - 242 = -s. Let b = s + -63. Calculate the remainder when k is divided by b.
12
Suppose 4*r = -y + 16, 7*y - 5*y - 20 = -5*r. Suppose -3*q - 3 = y, c + 4*c = -3*q + 932. What is the remainder when c is divided by 9?
7
Let s = -3106 + 3227. Calculate the remainder when 846 is divided by s.
120
Let v be (63020/16)/5 + 4/16. Suppose v = 9*q + 23. What is the remainder when q is divided by 30?
25
Calculate the remainder when 1541 is divided by 23 + (-1 - 12) + 1 + 1.
5
Let o be ((-50)/(-6))/(-5*(-8)/9360). What is the remainder when (o/12)/13 + 1/2 is divided by 2?
1
Suppose 39 = 2*b + 3*a, 2*b - 31 = -a + 2. Suppose 1 = 2*j - b. Let n = -13 + 42. What is the remainder when n is divided by j?
5
Suppose -90*y + 8 = -91*y. What is the remainder when (y - 1)/(-9) - -255 is divided by 66?
58
Suppose -990*y = -994*y + 4. What is the remainder when (-126)/(4*y + (-120)/20) is divided by 8?
7
Let z(a) = 65*a + 716. Suppose 5*k - 31 = -3*m, -k - 3 = 4*m - 8*m. What is the remainder when m is divided by z(-11)?
0
Let g be 4/(-42) + 34/357. Suppose 0 = 4*y + 2*v - 224, -y + 56 = -g*y + 4*v. Calculate the remainder when 86 is divided by y.
30
Suppose 31 = -4*l + 27. Suppose 8 = 2*x, t + 5*x - 34 = 8. Calculate the remainder when (-1)/2*l*1224/4 is divided by t.
21
Suppose 3*h = -h + 3*r + 465, 0 = 5*r + 15. Suppose -3*a = -2*t - 3 + h, -a = t - 48. Let g = -13 + t. Calculate the remainder when 112 is divided by g.
36
Let r(y) = 5*y**2 - 1. Let z be r(1). Calculate the remainder when z/(-6)*(-28 - 5) is divided by (1 - 1 - 1)/(31/(-372)).
10
Let c = -3702 - -3748. Calculate the remainder when 1045 is divided by c.
33
Suppose 8*v = -1409 + 1569. Let m = -36 + 94. What is the remainder when m is divided by v?
18
Let f(x) be the second derivative of 4*x**5/5 - x**4/12 - x**3/3 + 5*x**2/2 - 80*x. What is the remainder when f(2) is divided by 27?
17
Suppose 228 = 14*u - 11*u + 9*u. What is the remainder when 545 is divided by u?
13
What is the remainder when (-6)/14 + 2164474/581 is divided by 138?
137
Let g(m) = -6*m**2 - 86*m + 5. What is the remainder when g(-5) is divided by 41?
39
Let f = -265 - -148. Let q = f - -57. Let i = q - -107. Calculate the remainder when 91 is divided by i.
44
Let v(a) = a**2 - 2*a - 36. Let g = -6 + 17. What is the remainder when 117 is divided by v(g)?
54
Suppose 2*n - 59 - 1003 = 0. What is the remainder when n is divided by 488?
43
Let o be (-1)/(-2) - 979/(-2). Suppose -5*i + 3*c + o + 347 = 0, -i - c + 169 = 0. What is the remainder when 35 is divided by (i/(-49))/((-2)/7)?
11
Suppose -21 = 2*c + 245. Let a = -68 - c. Let t = a + -45. Calculate the remainder when t is divided by 8.
4
Suppose 10*b - 2286 = -8*b. Suppose -4*s = b - 179. What is the remainder when 14/(-8)*-44*1 is divided by s?
12
Let a(t) = 6*t + 49. Let l be a(-8). What is the remainder when 206 is divided by -33 - -109 - 6*l?
66
Suppose 0