6
Let b be -1 - (-2 - (-5 + 0)). What is the remainder when 4/16 + (-454)/(-8) + b is divided by 18?
17
Let v = -89 + 67. What is the remainder when 306 is divided by (v/2)/(1/(-2))?
20
Let v be (198/15)/(2/5). Suppose -168 = -v*q + 30*q. Suppose -5*i - 11 = -2*r - 0*r, q = 5*r - 3*i. What is the remainder when 48 is divided by r?
9
Suppose -i + 3222 = 3*v, -8*v + 5*i = -9*v + 1088. Calculate the remainder when v is divided by 110.
83
Let g(h) = h + 4. Suppose 8*n - 5*n = -6. Suppose -3*b + 2*l = -10, 12*b - 9*b - 5*l - 16 = 0. Calculate the remainder when g(n) is divided by b.
0
Let d(m) = 6*m - 7. Let u be d(4). Let x(i) = 42*i + 1 + 54*i**2 - 25*i - u*i. What is the remainder when 107 is divided by x(-1)?
52
What is the remainder when (2883 - 2864)/((0 - 1 - 0)/(-18)) is divided by 92?
66
Let u be ((-5 + 3)/6)/((-1)/(-3)). Let j be u/6 + (-247)/(-78). Suppose 0*f - 2*s - 119 = -j*f, -f = -5*s - 31. What is the remainder when f is divided by 21?
20
Let z = -143 + 145. Suppose -25*q + 13 = z*x - 28*q, -2*x - 4*q = -48. What is the remainder when 713 is divided by x?
13
Let z(r) = r + 2. Let m be z(-2). Let u(o) = o**2 - o + 10. What is the remainder when 13/3*(42 - 33) is divided by u(m)?
9
Let n = -606 + 1270. Suppose 267 = 2*i - g, -8*g + 7*g = 5*i - n. What is the remainder when i is divided by 23?
18
Suppose 4*p + 27 + 4 = d, -2*d - p + 71 = 0. Let n be 1911/d + 6/15. Suppose w + 0*t - 43 = -2*t, -n = -w - 5*t. What is the remainder when w is divided by 13?
9
Let b be (2/(-17) + (-647230)/(-340))*2. Suppose -15*n = -b + 462. Calculate the remainder when n is divided by 58.
49
Let u(r) = -r**3 - 22*r**2 - 9*r - 171. What is the remainder when 9877 is divided by u(-22)?
22
Suppose 0 = -5*u + 3*v + 90, 17*u - 15*u - 20 = -2*v. What is the remainder when 2057 is divided by u?
2
Suppose -4*y = -6*y - 136. Let h = -67 - y. What is the remainder when 218 is divided by ((-2)/(-4) - h)/((-11)/968)?
42
Suppose -46*q + 1263 = -4763. What is the remainder when q is divided by 69?
62
Let p = 3513 - 3469. Suppose -2*n - r - 2*r = -18, n = 5*r + 35. What is the remainder when p is divided by n?
14
Let m = -5699 - -6354. Calculate the remainder when m is divided by 129.
10
Let r(g) = -19*g**2 + 43*g + 2. Let w be r(3). What is the remainder when 169 is divided by -7 + 5/(w/(-752))?
82
Let d(y) = -117*y + 13. What is the remainder when d(-2) is divided by 29?
15
Suppose -5*n + 16*u - 19*u + 2105 = 0, 4*u - 1263 = -3*n. What is the remainder when n is divided by 27?
16
Suppose -29*t + 27*t + 3853 - 587 = 0. What is the remainder when t is divided by 121?
60
Let c = -26 + 16. What is the remainder when 30 is divided by (-2)/((1/9)/(5/c))?
3
Let a(o) = 99*o + 4497. Calculate the remainder when a(-44) is divided by 117.
24
Let x(t) = -5*t + 2. What is the remainder when x(-3) is divided by ((-6)/18)/((-1578)/(-198) + -8)?
6
Let g = 8074 - 8064. Let c = -56 + 115. What is the remainder when c is divided by g?
9
Let q(t) = 97*t + 1156. What is the remainder when q(-7) is divided by 82?
67
Suppose 0 = -g + 89 - 36. What is the remainder when g is divided by (648/120)/(-5 - (-265)/50)?
17
Let c = 68 - 49. Suppose c*r = 10*r + 171. Calculate the remainder when 187 is divided by r.
16
Let k(y) = -2*y**3 + 146*y**2 + 161*y - 222. What is the remainder when 5921 is divided by k(74)?
1
Suppose -234 = -5*v + 296. Let t = -67 + v. What is the remainder when t is divided by 15?
9
Let c be 173313/315 + 8/10. Let h = -381 + c. Calculate the remainder when h is divided by 57.
56
Let a(v) = -v**2 - 17*v - 44. Let w be a(-8). Let x = w + -11. Calculate the remainder when 67 is divided by x.
16
Let c(i) = 3*i**2 - 46*i - 183. Calculate the remainder when 289 is divided by c(-5).
45
Suppose 0 = 11*q - 5067 + 2669. Calculate the remainder when q is divided by 43.
3
Suppose j + 5*q = 952, 488 = 2*j - 5*q - 1446. What is the remainder when j is divided by 957?
5
Let k = -414506 + 414528. Suppose 0 = 2*y + 4*s - 8, 3*y - 3*s + 9 = 5*y. Calculate the remainder when k is divided by y.
4
Let c(p) = p**3 + 16*p**2 + 31*p - 211. Calculate the remainder when 326 is divided by c(-10).
10
What is the remainder when 597 is divided by 3 + (-2219)/(-35) + (-112)/80?
12
Let z(q) = q**2 + q - 9. Let o(w) = -w**3 - w**2 + w - 4. Let s be o(-3). Suppose -3*v + s = -4*v. What is the remainder when z(v) is divided by 34?
33
Let r = 9309 + -9213. What is the remainder when r is divided by 43?
10
Calculate the remainder when 1/(6/(30894 - 12)) is divided by 52.
51
Let q be 34/204 - (-1)/(-6). Suppose -5*u + 535 + 145 = q. Calculate the remainder when u is divided by 28.
24
Let q(g) = -4*g + 54. Let d be q(13). Suppose d*t = -0*t. Suppose -3*o + 6*o - 18 = t. Calculate the remainder when 33 is divided by o.
3
Let l(b) be the first derivative of b**4/4 - 3*b**3 - 4*b**2 - 26*b + 85. Suppose -n + 19 = -14. Calculate the remainder when l(11) is divided by n.
29
Suppose -p + 325 = -5*c, 4*c - 8 = 2*c. Let k = -286 + p. Calculate the remainder when 352 is divided by k.
57
Let v(d) = -4*d + 35. Let l be v(10). Suppose -4*u - 13 = -5*u. What is the remainder when ((-1)/l)/(20/(-50))*-50 is divided by u?
12
Let g = -7037 - -12794. What is the remainder when g is divided by 8?
5
Let g(l) = -52*l - 310. Let p be g(-6). Let d(t) = -10*t + 75. What is the remainder when 206 is divided by d(p)?
41
Let s = -4 + 16. Let m(l) = -l + 8. Suppose 0 = 5*i + 2*r - 21, 5*r - 11 = -4*i - 1. Calculate the remainder when s is divided by m(i).
0
Suppose -z + 3*p + 57 = 0, 33*z - 36*z = 2*p - 193. Calculate the remainder when 223 is divided by z.
34
Let f(t) = 8*t - 5. Let s be 3/(-6) + 1 + (-10)/(-4). Let v(z) = z**3 - 3*z**2 + 6*z - 2. Calculate the remainder when f(6) is divided by v(s).
11
Let w(i) = i**3 - 4*i**2 - 7*i - 2. Calculate the remainder when w(6) is divided by 0 + (2 - 6/(-1)).
4
Let m = 172 - 101. Suppose 5*q + 38 + 3252 = 0. Let a = q + 677. What is the remainder when m is divided by a?
14
Suppose -2*h - 28 = 2*o + 24, 0 = -2*o + 4*h - 34. Suppose -141*g = -149*g - 240. Let f = o - g. Calculate the remainder when 46 is divided by f.
4
What is the remainder when (689/(-8)*-4)/((-12)/(-24)) is divided by 89?
66
Let n be 2 - 4/4 - -45. Suppose -15 = -51*v + n*v. Suppose -v*x + 14*x - 1276 = 0. What is the remainder when x is divided by 20?
16
Let j(u) = 11*u**3 - 253*u**2 + 4*u - 42. What is the remainder when 188 is divided by j(23)?
38
Suppose -1 = g - 4, -4*l = g - 223. Suppose 19*p - 18*p = -2*t + l, -3*p + t = -130. What is the remainder when 356 is divided by p?
41
Let o(u) = -u**3 + 53*u**2 + 5*u - 246. Calculate the remainder when 657 is divided by o(53).
11
Let a be 336/(-20)*(3 - 48). Suppose 11*n - 5*n = a. What is the remainder when n is divided by 26?
22
Let k be ((-2)/(-8))/(6/312). Let w(v) = v - 13. Let s be w(k). Suppose s = -3*a + 12, 2*a + 58 = 2*f - 0*f. Calculate the remainder when 164 is divided by f.
32
Let w = -44177 - -44215. Suppose 0 = 4*r + 616 - 5316. Calculate the remainder when r is divided by w.
35
Calculate the remainder when (-8025)/(-30)*(-36)/(-45) is divided by 98.
18
Let s(y) = -y**2 + 34*y + 258. Let t(x) = -x + 73. Calculate the remainder when t(14) is divided by s(40).
5
Let a be 3288/(-96)*-2*(1 - -1). Let y = 158 - a. Calculate the remainder when 99 is divided by y.
15
Let y be 9408/36 - 12/(-18). Let c = 139 + y. Calculate the remainder when c is divided by 81.
77
Let z(c) = -360*c - 3579. Let r(x) = -3*x**2 - x. Let t be r(-1). What is the remainder when (-2 - -4)/t - -42 is divided by z(-10)?
20
Let r = 471 + -467. Suppose -k + 212 + 5 = q, -r*k + 3*q + 896 = 0. Calculate the remainder when k is divided by 32.
29
Let z(m) = -78*m**3 + m. What is the remainder when z(-1) is divided by (-25)/(975/26)*-39?
25
What is the remainder when 553 is divided by 15 - 19 - -153 - 15?
17
Suppose -2918 - 448 = -99*h. Calculate the remainder when 916 is divided by h.
32
Suppose -3*w - 5*b + 248 = 0, 115*b + 167 = 2*w + 120*b. Calculate the remainder when 621 is divided by w.
54
Let d be ((-1)/2 + -2)*(-16)/8. Suppose d*o + 6*z = 3*z + 1586, 1262 = 4*o - z. What is the remainder when o is divided by 8?
4
Let x = 85 + -50. Calculate the remainder when (-3)/150*-4 + (-13111)/(-175)