 2136. Calculate the remainder when 1 + -2 + (-3)/(18/x) is divided by 20.
17
Let u(w) = -w**2 + 29*w - 49. Let k be u(21). Suppose 53*m = 54*m - k. What is the remainder when m is divided by 44?
31
Let x = 211 + -211. Suppose x = 181*z - 172*z - 144. Calculate the remainder when 29 is divided by z.
13
Let y = 11 + 32. Let a(r) = -2*r**2 + 67*r + 37. Let t be a(34). Let v(w) = w**3 - 3*w**2 + 11*w - 22. Calculate the remainder when y is divided by v(t).
10
Suppose -38 - 7 = -3*q. Calculate the remainder when 111*2*q/(180/8) is divided by 50.
48
Let b be (10 - 11)*(-6 + 1). Suppose -9 = -t - 6. Suppose -b*i + t*k + 100 = 0, 2*i + 3 = k + 43. What is the remainder when 97 is divided by i?
17
Let j = 5227 + -3553. Calculate the remainder when j is divided by 60.
54
Let f be 267/2 + (-4)/(-8). Suppose -3*t + t = -f. Let n = -896 + 913. Calculate the remainder when t is divided by n.
16
Suppose -8*v + 434 = -4*v + 2*s, 5*v = 3*s + 515. Let t = v - 73. What is the remainder when 295 is divided by t?
31
Suppose -10*p + 5295 = 2*i - 2237, 2*p = -5*i + 1534. What is the remainder when p is divided by 109?
98
Let j(b) = 152*b + 7002. Suppose i = -2*y + 576, -4*y + 2*i = -i - 1152. Calculate the remainder when y is divided by j(-46).
8
Let b = -4435 + 4540. Calculate the remainder when b is divided by 45.
15
Let h = 10926 - 10892. Calculate the remainder when 17849 is divided by h.
33
Suppose 0 = 3*x + 4*o - 33 - 1, 34 = 5*x + o. Suppose -c - a = -40, c + x*a = 4*a + 39. What is the remainder when c is divided by 29?
12
Let d = 73 + -58. Suppose 0 = d*x - 14*x - 7. What is the remainder when 52 is divided by 7/(x/18) - (-2 + 2)?
16
Let u = -102 + 67. Let z = -347 - -395. Let h = u + z. What is the remainder when 24 is divided by h?
11
What is the remainder when (-60)/(-220) + 36594/11 is divided by 15?
12
Let a(k) = k**3 + 22*k**2 + 25*k + 326. Calculate the remainder when a(-21) is divided by 237.
5
Suppose -3*n + 734 = k - 5*k, 5*n = -4*k + 1266. What is the remainder when n is divided by (2 + (-42)/(-15))/(33/220)?
26
Suppose -4*p = -2*q + 3*q - 160, 2*p - 62 = 4*q. Suppose 2*v - 20 = 7*v, 5*u + 4*v - p = 0. Calculate the remainder when -2*9/(-21)*21 is divided by u.
7
Let r(i) = -27*i**2 + 459*i + 171. Calculate the remainder when 1305 is divided by r(17).
108
Suppose 22*r = 7*r - 45. Let a(k) = 7 + 1 - 29*k - 1 - k. What is the remainder when a(r) is divided by 25?
22
Calculate the remainder when 1704 is divided by (-786)/4*12*41/(-738).
1
Suppose -5*c = -20*c. Suppose 15*g - 20*g + 80 = c. Let x = 11 - -20. Calculate the remainder when x is divided by g.
15
Suppose 4*u - 4*h - 40 = -u, -3*u + 27 = -3*h. Calculate the remainder when 61 is divided by u.
1
Suppose 4323 = -9*r + 4935. What is the remainder when 678 is divided by r?
66
Suppose -422422 = -221*a - 229*a + 424*a. What is the remainder when a is divided by 250?
247
Let y(h) = 6*h**2 - 993*h + 633. What is the remainder when 1213 is divided by y(165)?
109
Suppose 2*h = 4*y + 138, y = h + 3*y - 61. Suppose 2*u = 8*u - 114. What is the remainder when h is divided by u?
8
Let p = 74 + 61. Let z = -126 + p. What is the remainder when 141 is divided by z?
6
What is the remainder when 128 + -3 - (7 + (-6 - -4)) is divided by 92?
28
Suppose 0 = 3*o - 21*o + 1980. Suppose -5*p - 2*l + o = 0, -p + 2*l = 6*l - 4. What is the remainder when p is divided by 16?
8
Let t(r) = r**3 + 6*r**2 - 9*r - 30. What is the remainder when 1667 is divided by t(-5)?
27
Let t(b) = -6*b + 54. Let z be t(-5). Suppose 80*f = z*f - 84. What is the remainder when 36 is divided by f?
15
Let d(y) = -21*y + 5. Suppose k + 4 = r - k, -5*r - 15 = -3*k. Calculate the remainder when d(r) is divided by (351/(-52) - -15)/((-2)/(-8)).
32
Let l(m) = 2*m**3 + 2*m**2 - 1. Let f be l(1). Suppose 0 = -4*z - f*u + 28, 2*u - 5*u = -z + 22. What is the remainder when 11 - (6 + -18 + 4) is divided by z?
9
Let g(w) = -w**2 - 6*w - 20. Let i be g(-6). Calculate the remainder when (24/3)/(i/(-170)) is divided by -2 - -26 - (-6 + 8).
2
Let v(c) = -c**3 + 11*c**2 - c - 173. What is the remainder when 405 is divided by v(8)?
9
Suppose -78*d = -42014 - 42772. Calculate the remainder when d is divided by 68.
67
Suppose 4*m + 39 = 7*m. Suppose -6*b = -2*b - 84. Suppose 5*q - b = 2*q. Calculate the remainder when m is divided by q.
6
Suppose 0 = 4*q + q - 4*u - 188, 4*u - 12 = 0. Calculate the remainder when q is divided by (525/(-50) + -1)/((-2)/4).
17
Suppose 3*d - 3*o - 350 + 1424 = 0, 3*d - 4*o = -1077. Let a = 604 + d. Let l = a - 142. What is the remainder when l is divided by 37?
33
Let v(q) = -2*q**3 - 2*q**2 - 22*q + 74. Calculate the remainder when 6285 is divided by v(0).
69
Let g(b) = 83*b + 366. Calculate the remainder when 103 is divided by g(-4).
1
Suppose -28 + 34 = 3*f - 57. What is the remainder when 2372 is divided by f?
20
What is the remainder when 612 is divided by ((-12750)/500)/((-6)/20)?
17
Let a = 7855 + -7809. What is the remainder when a is divided by 9?
1
Let n be (2/6 + 0)/((-1)/(-870)). Let u = n + -273. Calculate the remainder when 265 is divided by u.
10
Let v be (-128)/(1*(-6)/3). Suppose 4*q - 156 = v. Suppose 3*r = 3*s - 60, 2*r - q = -5*s - 2*r. What is the remainder when 29 is divided by s?
14
Let u = 32736 + -31035. Calculate the remainder when u is divided by 85.
1
Calculate the remainder when (-2)/12 - 85316/(-264) is divided by 104.
11
Let f be 0 - (615/5)/(9/(-12)). Let m = f + -124. Calculate the remainder when 78 is divided by m.
38
Suppose -h - 61*x = -57*x - 2241, -13313 = -6*h - 5*x. Calculate the remainder when h is divided by 247.
237
Suppose 0*y + 6 = 2*y. Let b = -114 - -311. Let s = -188 + b. What is the remainder when s is divided by y?
0
Suppose -47*g = 66*g - 2147. Calculate the remainder when 790 is divided by g.
11
Let r(t) = 2*t. Let o be r(4). Let h = 5389 - 5358. Calculate the remainder when h is divided by 4/o - (-21)/2.
9
What is the remainder when 3184 is divided by 108/24*3776/144?
116
What is the remainder when 11036 is divided by 1*(494/26 + -4)?
11
Let k(w) = 42*w**3 + 5*w**2 - 5*w + 2. Let p be k(2). Let x = 369 - p. Calculate the remainder when 103 is divided by x.
19
Suppose -3*o - 1692 = 5*g, 3*g - g = -o - 676. Let j = -287 - g. What is the remainder when j is divided by 1*(-1 - -26*1)?
24
Let f be (3 - 4 - -5) + -76. Let q be 565/10*(-1 - -3). Let p = f + q. Calculate the remainder when p is divided by 7.
6
Let o = 214 - 140. Let r = -3751 - -3771. What is the remainder when o is divided by r?
14
Let z(c) = 2*c**3 + 28*c**2 + c + 17. Let j be z(-14). Suppose -j*s + 52 = 40. What is the remainder when 23 is divided by s?
3
Let t(n) = -n**3 + 4*n**2 - 57*n - 197. What is the remainder when t(-10) is divided by 24?
21
Suppose 5894*n - 5859*n - 21350 = 0. What is the remainder when n is divided by 303?
4
Let c = 54 + -63. What is the remainder when ((-24)/c)/1*15/10 is divided by 3?
1
Suppose 262*u = 91*u + 23256. What is the remainder when u is divided by (-4)/10 + 1408/20?
66
Suppose -2*t - 152 = -5*p + 125, -4*t + 16 = 0. Let x be 132 + -1*(-1)/1. Let u = x - p. What is the remainder when u is divided by 40?
36
Suppose -339 + 14 = -5*q. What is the remainder when q is divided by 15351/258*6/21?
14
Let b = -4 + 3. Let s = -1701 - -1710. Calculate the remainder when 49 + -4 + b*1 is divided by s.
8
Let k = 156 - 8. Suppose -4*o - 21 = -z, 4*z = 8*z - 5*o - 51. Suppose -44 - 226 = -z*g. Calculate the remainder when k is divided by g.
28
Let f(a) = -14*a + 402. Calculate the remainder when f(6) is divided by 27.
21
Suppose -70*w + 459 = -61*w. What is the remainder when w is divided by 11?
7
Suppose 0 = -60*z - 21*z + 84159. What is the remainder when z is divided by 264?
247
Suppose -5*g - j + 192 = 0, -5*g + 4*j = 7 - 214. Let d(i) = -i**3 + 2*i**2 + 36*i + 5. What is the remainder when d(-6) is divided by g?
38
Let q = -3616 - -3653. Calculate the remainder when 167 is divided by q.
19
Suppose -32 = -f - 3*f. Suppose -57 + f = -b. Suppose 49*v - 190 = 39*v. What is the remainder when b is divided by v?
11
Let z = 296 + -190. Calculate the remainder when 1 + 218 - (-34 + 47) is divided by z.
100
Let g = 6239 + -6210. What is the remainder when 69 is divided by g?
11
Suppose 0 =