 -3*x = -8*x + 10, -225 = -r - n*x. Calculate the remainder when r is divided by 12.
11
Let c(g) = -7*g**3 + g**2 + 2*g + 1. Let l be c(-1). Suppose -4*w + l*w = 648. Suppose z - w = -3*z. What is the remainder when z is divided by 14?
12
Suppose 8 = 4*f - 4. Suppose 2*n + 6*b - 4 = f*b, b = 4*n + 6. What is the remainder when 3/((-208)/220 - n) is divided by 3?
1
Let q = 66 + -61. Let n be (q*2)/(0 - 4/(-118)). Suppose 0*p = -5*p + n. What is the remainder when p is divided by 16?
11
Let f be (-2)/(-5)*-1 - 560/100. Let p be ((-4)/f)/(24/(-36)). Calculate the remainder when 2/(p/(-54)*(-9)/(-6)) is divided by 38.
34
Suppose 5*a - b = 429, 0 = -3*b - b - 16. Let d = a + -80. What is the remainder when d is divided by 1?
0
Suppose -h + 20 = h. Let m(k) = -388*k - 3097. Calculate the remainder when h is divided by m(-8).
3
Let m(f) = 254*f - 174. Calculate the remainder when 393 is divided by m(1).
73
Calculate the remainder when 679 - (1 - 286/22) is divided by 96.
19
Let v(q) = -q**3 - 8*q**2 - 4*q + 5. Calculate the remainder when 486/567*(-4 - -123) is divided by v(-8).
28
What is the remainder when -6 + ((-37240)/(-320) - 3/8) is divided by 76?
34
Let b = 25229 - 24634. Calculate the remainder when 1198 is divided by b.
8
Suppose -29*h = -396 - 908 + 173. Calculate the remainder when 91 is divided by h.
13
Let p(o) = o**2 - 30*o + 268. Suppose 5*d + 0*d = 360. Suppose -s = -3*y - 6*s + d, 15 = 5*s. Calculate the remainder when p(17) is divided by y.
9
Calculate the remainder when (-303748)/(-40) - 36/(-120) is divided by 107.
104
Suppose -25*b + 21*b = 4*j - 156, -2*b = -3*j - 108. Calculate the remainder when b is divided by 3.
0
Let t(m) = -m**3 - 12*m**2 - 6*m - 4. Let b be t(-14). Suppose 0 = 5*u + k - b, 5*k - 38 = -u + 66. Calculate the remainder when u is divided by 16.
14
Let q be (-686)/21*(-9)/(-1) + 1. Let b = q + 300. What is the remainder when 11 is divided by b?
4
Suppose -5*i - 20 = 0, -4*q = 3*i + 83 - 215. What is the remainder when (51/(-2))/(99/(-528)) is divided by q?
28
Let p(v) = 63*v**2 + 94*v + 42. What is the remainder when p(-5) is divided by 7?
6
Suppose z - 355 = -63. Let r = -2396 + 2475. What is the remainder when z is divided by r?
55
Suppose 28112 = 3902*j - 3818*j - 60928. What is the remainder when j is divided by 44?
4
Calculate the remainder when (-818619)/(-917) - ((-10)/(-14) - (-1 + 2)) is divided by 69.
65
Let o = 5379 - 5035. Calculate the remainder when o is divided by 4.
0
Let h(s) = -23*s - 568. Calculate the remainder when 381 is divided by h(-27).
10
Let a = 181 - 177. Suppose -u - 345 = -6*u. What is the remainder when u is divided by ((-6)/(-4))/((a/(-2))/(-24))?
15
Let i = 106 + 15. Let l = 64 + 0. Calculate the remainder when i is divided by l.
57
Let z(n) = 6*n + 5. Let c be ((-344)/12)/(2/3). Let t = -12 - c. Calculate the remainder when t is divided by z(1).
9
Let q be ((225/10)/(-5))/(3/(-30)). Let a = q + -16. What is the remainder when 85 is divided by a?
27
Let y(i) = -4*i + 49. Let d be 321/45 - (-6)/(-45). What is the remainder when 103 is divided by y(d)?
19
What is the remainder when (-90)/(-60) + 2070/4 - 4 is divided by 20?
15
Suppose -254*u = 5*r - 255*u - 2800, -4*u = 4*r - 2216. What is the remainder when r is divided by 7?
6
Suppose -r + 2*c = -0*c + 3, -r - 4 = -3*c. Let s be 28 + -1 + -1 + r + 2. Let v = 31 - s. What is the remainder when 4 is divided by v?
0
Let d = 9058 + -8955. Calculate the remainder when 1123 is divided by d.
93
Suppose 2*g - 12 = 20. Let k = -23986 + 24014. What is the remainder when k is divided by g?
12
Suppose -2*v + c + 1451 = -109, 4*v = -3*c + 3140. Calculate the remainder when v is divided by 386.
10
Suppose -2*n + 6*j = j - 28, -4*n + 86 = 5*j. Suppose -4*f - 2*a + 5 = 15, 0 = f - a + 7. Let r = f - -17. Calculate the remainder when n is divided by r.
6
Suppose -4*w + t + 849 = 0, -3*t = 10*w - 11*w + 215. What is the remainder when w is divided by 79?
54
What is the remainder when 417/4 + (42/24)/(-7) is divided by 3/(-8) - ((-87)/(-58))/(8/(-66))?
8
Let b(f) = -7*f + 94. Let h be b(-10). Suppose -2*u = -h - 634. Calculate the remainder when u is divided by 67.
64
Let m = -2206 - -2606. What is the remainder when m is divided by 191?
18
Calculate the remainder when ((-216)/(-30) - (6/3 - -4))*145 is divided by 38.
22
Suppose 5*r + 25 = 0, 2*x - 36*r - 1820 = -40*r. Calculate the remainder when x is divided by 103.
96
Let t(x) = 3*x + 88. Let a be t(-37). Calculate the remainder when (9 - 243)/9*a is divided by 12.
10
Let j = -6028 + 6153. Calculate the remainder when 10873 is divided by j.
123
Let r be 0/(-1) + -10 + 14. Suppose -4*a - r*i = -4, 0 = 5*a - 9*a - i + 10. Calculate the remainder when 3 is divided by a.
0
Let f = 193 + -21. Let i = 221 - f. Calculate the remainder when 439 is divided by i.
47
Let t(d) = -62*d - 2. Let l(o) = -63*o - 2. Let b(y) = 2*l(y) - 3*t(y). Suppose -47 + 10 = -37*n. What is the remainder when b(n) is divided by 13?
10
Suppose -11220*j = -11219*j - 2. What is the remainder when 124 is divided by j?
0
Let l(k) = -262*k - 9613. What is the remainder when 274 is divided by l(-37)?
31
Suppose -3*o = -4*q - 4, 5*o - q - 20 = -2. Let a be (-169)/26 + 2/o. Calculate the remainder when 97 is divided by -3*(-508)/45 - a/45.
29
Let y = 5 + 34. What is the remainder when y is divided by 29 + 151/(-7) - (-20)/(-14)?
3
Suppose 39*j = 42*j - 2*u - 1618, 3*u - 521 = -j. Calculate the remainder when j is divided by 6.
2
Let n(j) be the first derivative of j**3/3 - 11*j - 38. Calculate the remainder when 139 is divided by n(-9).
69
Let u be (-9 - -7) + (-1484)/(-4). Suppose -372*p + 942 = -u*p. What is the remainder when p is divided by 40?
34
Let f = 49 - 94. What is the remainder when 10 is divided by (6/(-9))/(-5 + (-215)/f)?
1
Suppose -4*k = a + 10, -32*k - 40 = -3*a - 34*k. Suppose -5*t = -5*i + 205, 0 = 5*i - 0*t + 3*t - 245. What is the remainder when i is divided by a?
10
Let a(z) = 4*z**2 + 377*z - 1061. Calculate the remainder when a(-98) is divided by 204.
1
Calculate the remainder when (((-75)/2)/15)/((-15)/16164) is divided by 54.
48
Let l(d) = 5*d - 7. Suppose 5*b - 10 = -0*b. Let x be l(b). Calculate the remainder when (30/x)/((-2)/(-3)) is divided by 8.
7
Let s(j) = -4*j + 10. What is the remainder when s(-10) is divided by ((-391)/(-161))/(-14*(-4)/392)?
16
Let g = -2380 + 2392. What is the remainder when 226 is divided by g?
10
Suppose -195*h = -9352 - 203. Let m = 254 + -108. What is the remainder when m is divided by h?
48
Suppose -t - 3*a = -6*a - 5, 8 = t - 2*a. Suppose 0 = 4*s - t*s - 200. What is the remainder when 47 is divided by (s/(-3))/(4/6 + 0)?
7
Let a = -18 + 39. Let t be -2 + 38/16 - (-122)/16. Suppose 395 = 13*f - t*f. Calculate the remainder when f is divided by a.
16
Suppose 0 = 3*r - 4*v - 547, 0 = -0*r + 2*r - 5*v - 367. Let f = -124 + r. Calculate the remainder when 113 is divided by f.
56
Suppose -5*s + 3477 = 3*l, 31*l + 3478 = 5*s + 33*l. Calculate the remainder when 2805 is divided by s.
21
Let h = 9514 - 9467. Suppose 8 = l - 4. What is the remainder when h is divided by l?
11
Let j = 406 - 282. Suppose -r + 273 = r + 3*t, r - t = j. Calculate the remainder when r is divided by (-2)/(-10) + 21930/850.
25
Suppose -2482 = -x - 2*w, 0 = 4*x + 96*w - 99*w - 9950. Calculate the remainder when x is divided by 53.
48
Let b(p) = 16*p + 2623. What is the remainder when b(-86) is divided by 78?
77
Calculate the remainder when (308/(-55) - -5)/((0 + -1)/155) is divided by (-4)/(-6) - 380/(-15).
15
Let b = 784 - 505. What is the remainder when b is divided by 108?
63
Calculate the remainder when 3328 is divided by 35/(-10)*(4 - 34/7).
1
Let o = 39 + -37. Suppose 0*s = s - o*q - 565, -4*s + 2215 = q. Suppose -9*y - s = -24*y. What is the remainder when 258 is divided by y?
36
Suppose 398*l + 62878 = 388442. Calculate the remainder when l is divided by 112.
34
Let p be ((-2)/6)/(3/27). Let v = 1560 + -1558. Calculate the remainder when v is divided by (1/2)/(p/(-6)).
0
Suppose 627*l = 638*l - 1551. What is the remainder when l is divided by 51?
39
Suppose 0 = -243*v + 67810 + 28904. What is the remainder when v is divided by 66?
2
Let a(s) = -2*s**3 - 75*s**2 - 47*s - 142. What is the rema