s = 5*s + 145. What is the remainder when s is divided by 1/(414/102 + j)?
12
Let d be (-20)/(-70) - 0 - (-4)/(-14). Suppose d = c - 1096 + 1081. What is the remainder when 192 is divided by c?
12
Suppose 3*d - 19 = 2. Suppose d*t - 968 = -338. What is the remainder when t is divided by 24?
18
Let i = -142 - -149. Suppose 0 = -i*y + 457 + 12. Calculate the remainder when 334 is divided by y.
66
Let v = 507 + -268. Let n = v + 48. Calculate the remainder when n is divided by 36.
35
Let b = 4056 + -3972. What is the remainder when 372 is divided by b?
36
Let m = -1499 + 1535. Calculate the remainder when 148 is divided by m.
4
Calculate the remainder when (-24)/(-18) + 81298/42 is divided by 276.
5
Suppose -5*f + 13*f = -368. Let a = f + 57. What is the remainder when (-142)/(-7) + 4/(-14) is divided by a?
9
Let s = 270 - 267. Suppose 541 = s*u + 79. What is the remainder when u is divided by 27?
19
Let l(j) = -j**3 + 7*j**2 + 8*j + 3. Let m be l(8). Let o(a) = 2*a**2 + 0*a**2 + 16 + 2*a + 12 - m. Calculate the remainder when o(-5) is divided by 17.
14
Suppose -g = -4*a + 343, -14 + 9 = -5*g. Calculate the remainder when 186 is divided by a.
14
Suppose 25 = 5*u + 5, -f + 4*u = 13. Suppose -w + 11 = -f*t, t = 5*t. Suppose -h + 5*d + 5 = 18, -15 = -5*d. Calculate the remainder when w is divided by h.
1
Let b(g) = g**3 - 22*g**2 + 39*g + 24. Let a(m) be the third derivative of m**4/8 + 25*m**3/6 - 10*m**2. What is the remainder when a(-6) is divided by b(20)?
3
Let g(w) = w**3 + 9*w**2 - 2*w + 13. Let p be g(-10). Let u = p - -116. Suppose -51 = -5*j + u. What is the remainder when 77 is divided by j?
17
Suppose 5*j + 3*i = 106, -j - 38*i + 29*i + 80 = 0. What is the remainder when 3647 is divided by j?
9
Suppose -18 = -6*z - 0. Suppose -60 = z*v - 6. Let w = -13 - v. What is the remainder when 16 is divided by w?
1
Suppose q = 5*y + 2*q - 170, 0 = 5*q. Let m(l) = 7*l**3 + l. Let w be m(-1). Let j(o) = -o**3 - 7*o**2. Calculate the remainder when j(w) is divided by y.
30
Let z be (-1 - 207) + (-10 - -15). Let k = z + 398. What is the remainder when k is divided by 32*(-3)/(-3) + 4/4?
30
Suppose 170 = -4*u - 30*u. Let c(s) = -9*s + 12 - 4*s - 4*s. Calculate the remainder when c(u) is divided by 25.
22
Let f(c) = -832*c - 11501. Calculate the remainder when f(-42) is divided by 19.
16
Suppose 34*v + 16*v + 1196 = 73*v. What is the remainder when 705 is divided by v?
29
Let h(n) = -61*n + 188. Let k be h(-6). Let l = k + -349. Calculate the remainder when l is divided by 42.
37
Let z = 42 - 25. Let n(f) = -f**3 - 6*f**2 - f + 1. Let w = 40 + -46. What is the remainder when z is divided by n(w)?
3
Suppose 51*t - 1656 = 10023. What is the remainder when 963 is divided by t?
47
Let c = 378 - 258. Suppose -5*d + 3*d = 2*l - c, -d + 5*l = -42. Calculate the remainder when 94 is divided by d.
37
Suppose -17*t - 10233 = 15*t - 60665. Calculate the remainder when t is divided by 20.
16
Let s(x) = x**3 + 4*x**2 - 21*x - 2. Let a be s(-7). What is the remainder when 4 - ((-1)/a)/(49/(-13818)) is divided by 17?
9
Let n(a) = 293*a + 1888. Suppose -2*t = -3*t + 34. What is the remainder when n(-6) is divided by t?
28
Let v = 6499 - 5295. Calculate the remainder when v is divided by 9.
7
Let r = 181 - 126. Suppose 760 = 10*l - 10. Let w = l + -63. What is the remainder when r is divided by w?
13
Suppose 3939 = -18*i + 4893. Calculate the remainder when 4343 is divided by i.
50
Suppose 0 = 32*o - 34*o + 8. Suppose 0*k - 2*k - o*t = -144, -4*t - 256 = -3*k. What is the remainder when k is divided by 9?
8
Let b(x) = 5*x**2 - x - 23. Let w(o) = -4*o**2 + 25. Let s(d) = 3*b(d) + 4*w(d). Calculate the remainder when 29 is divided by s(3).
3
Let w = 327 - -306. Calculate the remainder when w is divided by 159.
156
Let p(t) = 6*t - 3 + t**3 - 3*t - 5*t - 2*t. Let c be p(-1). Calculate the remainder when 143 is divided by (-29)/(1/(-1)) - c/30.
27
Let n = -6 + 18. Suppose 0 = 25*s - 728 + 303. Calculate the remainder when s is divided by n.
5
Let k = -475 + 496. Let b(f) = f**3 + f**2 + f - 15. Let s be b(0). Calculate the remainder when k is divided by -1*s/5 + 5.
5
Suppose -o - 4*o = 5*b - 265, 15 = -5*b. Suppose 79*f - 14*f = -61*f + 2256 + 12. What is the remainder when o is divided by f?
2
Suppose -5850 - 1134 = -24*r. What is the remainder when 4364 is divided by r?
290
Suppose -3*f + 4*f - 77 = 0. Calculate the remainder when f is divided by (-540)/84 - -6 - ((-400)/35 - 1).
5
Let n(b) = 128*b + 18 - 268*b + 8*b**2 + 126*b. Calculate the remainder when 127 is divided by n(2).
17
Suppose -m = -3*y - 2, 3*y = -m - y + 23. Suppose 0 = 6*s + 5*s - 275. Suppose 14*g - 19*g + s = 0. What is the remainder when m is divided by g?
1
Suppose 0 = -2*f + 6*f, -3*p = 5*f - 1134. Suppose 24*t - p = 6*t. What is the remainder when 227 is divided by t?
17
Let p = 3525 - 2691. What is the remainder when p is divided by 31?
28
Suppose f - 4*f = -4*k + 14, -26 = -4*k - 3*f. What is the remainder when (6 - 8)/(5/(-20)) is divided by k?
3
Let y be (-56 + -4)/6 + 3. Let k(c) = c**3 + 6*c**2 - 14*c - 11. What is the remainder when 378 is divided by k(y)?
36
Let p(t) = -13*t - 59. What is the remainder when 257 is divided by p(-5)?
5
Let l(d) = -3*d**3 - 28*d**2 + 67*d - 92. What is the remainder when l(-17) is divided by 492?
4
Suppose 1408 = m - 3*l - 4271, -4*m + 22788 = -3*l. Calculate the remainder when m is divided by 184.
183
Suppose 18*r = 11364 + 10452. What is the remainder when r is divided by 169?
29
Suppose -11*m - 18*m + 1231 = -1321. What is the remainder when m is divided by 18?
16
Let o(w) = w**2 - 4. Let b(k) = -4*k**2 + 3*k - 3. Let l be b(1). Let c = l - -14. Calculate the remainder when o(-5) is divided by c.
1
Suppose -16*d = -57*d + 155959 + 22555. What is the remainder when d is divided by 1449?
7
What is the remainder when 69*(0 - (-10)/6) is divided by 8/4*(-3 + 111/6)?
22
Suppose -4*m + 1381 = 3*h, -21*h = -15*h + 6. What is the remainder when m is divided by 78?
34
Suppose 74 = 4*d - 126. Suppose -h + 4*z - 14 = 0, 5*h - 5 + 0 = 5*z. Suppose -h*g = -28*g + 396. What is the remainder when d is divided by g?
14
Suppose 2*x = -6*v + 2218, 3*x + v - 5671 = -2*x. Calculate the remainder when x is divided by 42.
2
Suppose -4*s = -5*d + 57 + 172, -4*d = s + 52. Let n = s + 60. Suppose -n*y = -2*u + 4 + 96, y = -5*u + 206. Calculate the remainder when u is divided by 11.
9
Let u = -4894 + 4905. What is the remainder when 64 is divided by u?
9
Suppose 170 = 5*z + 5*w, -5*w + 2 = -z + 24. Let i = 246 + -206. Calculate the remainder when i is divided by z.
8
Let y(z) = 3*z**2 + 28*z + 12. Let i be y(-9). Suppose -3*f = 3*k - i - 27, 4*f + 40 = 4*k. What is the remainder when 239 is divided by k?
9
Suppose 2*i + 3*o - 6877 - 3171 = 0, 2*i - 10050 = -4*o. Calculate the remainder when i is divided by 18.
17
Suppose -b + 149 = 3*t, 2*b - 265 = 1137*t - 1132*t. What is the remainder when 1331 is divided by b?
71
Let u(f) = 3*f**3 - 2*f**2 + 3*f - 3. What is the remainder when (-1 + (-30)/(-42))/((-2294)/(-1148) - 2) is divided by u(2)?
12
Let w = 8477 + -8413. Calculate the remainder when 1267 is divided by w.
51
Let z(a) = a**2 - 102*a - 1216. Calculate the remainder when 216 is divided by z(-11).
0
Calculate the remainder when 3709 is divided by ((-22)/(616/182))/(4/(-104)).
160
Let t(s) = -25*s**3 + 100*s**2 - 3*s - 5. Calculate the remainder when t(-2) is divided by (-1556)/(-36) + 2/(-9).
42
Let n be 2 + (2 - 1) - (24 + -132). Let d = n - 63. Suppose 4*w - 4*k - 120 = 0, -k + d = 3*w - 62. What is the remainder when w is divided by 12?
11
Let o be (-7)/((-1*(-4)/12)/(-3)). Let j = -1 + -3. Let h = j + o. Calculate the remainder when h is divided by 15.
14
Let l(i) = i**3 + 9*i**2 - 15*i - 44. Let r be 20/(-8)*4/15*9. What is the remainder when l(r) is divided by 60?
34
Suppose -20 = 3*b - 13*b. Suppose 13 = -3*x - 5. Calculate the remainder when b/4 - 387/x is divided by 11.
10
What is the remainder when 1763 is divided by 6/10 - ((-606)/15 - (-21)/3)?
29
Let f(a) = 2*a + 14. Let x be f(-6). Calculate the remainder when 243 is divided by (x - 0) + (60 - 1).
60
Let q(u) = -137*u + 9928. What is the remainder when 4016 is divided by q(71)?
197
Suppose -124 - 151 = -x. Su