lculate the remainder when 293 is divided by (3 - -46) + (2 + v)/(-1).
48
Let f = 92 - 89. Suppose -f*y = -5*n - 79, 3*y - 3*n = -2*y + 153. Calculate the remainder when 64 is divided by y.
31
Calculate the remainder when 601 is divided by (-2292)/(-26) + ((-180)/(-13) - 14).
73
Suppose -3*m - 20 = -2*t, 5*m - 100 = -2*t - 3*t. Let j(y) = y**3 - 15*y**2 - 13*y - 19. What is the remainder when 144 is divided by j(t)?
28
Suppose -67 = -v + 124. Let f = v + -181. What is the remainder when 128 is divided by f?
8
Let x(r) = -6*r - 15. Let a(f) = 14*f + 30. Let l(t) = -4*a(t) - 9*x(t). Calculate the remainder when l(-19) is divided by 5.
3
Let y = -130 - -109. Calculate the remainder when (6/y)/(9/(-1071)) is divided by 7.
6
Suppose -9*z - 2 = -11*z, -3*z = 2*s - 187. What is the remainder when 316 is divided by s?
40
Suppose -12624 - 3654 = -3*v + 4*f, 2*v = 12*f + 10880. What is the remainder when v is divided by 48?
46
Let l be (40 + -26)*(-1)/(-2). Let b(t) = 25*t - 18. Let p be b(15). Let v = p - l. Calculate the remainder when v is divided by 44.
42
Let j(w) = 4*w + 5. Let v(m) = 96*m**2 + 11*m - 24. Calculate the remainder when v(1) is divided by j(6).
25
Let j(f) be the second derivative of f**3/3 + 11*f**2 + 3*f. Let x be 0*2*5/(-10). What is the remainder when j(x) is divided by 13?
9
Let z = -2422 + 2594. Calculate the remainder when z is divided by 61.
50
Let f(g) = 3*g**2 - 102*g - 12. Suppose -118*w + 125*w - 245 = 0. What is the remainder when f(w) is divided by 80?
13
Suppose -5*i - 5643 = -24*i. Let l = 323 - i. Let k(q) = -3*q - 5. Calculate the remainder when l is divided by k(-7).
10
Let v = -7647 - -7704. Calculate the remainder when 1078 is divided by v.
52
Suppose 2458 = 2*u + 7*u - 4103. Calculate the remainder when u is divided by 21.
15
Suppose -4*w + 4 = -28. Let t(z) = 3*z**3 - z**2 - 4. Let m be t(2). Suppose 7*k + m*k - 1817 = 0. What is the remainder when k is divided by w?
7
Let a(k) = 21*k - 31. Let f be a(-8). Let q = -141 - f. Suppose -q = -5*b + 302. What is the remainder when b is divided by 19?
15
Let a = -102 + 205. Let x = a + -103. Suppose k - p - 56 = x, 0*k = -3*k - 3*p + 138. What is the remainder when k is divided by 18?
15
Suppose -6*v = -13*v + 42. Suppose 24 = 4*a + 8. Suppose -a*c = -42 - 14. What is the remainder when c is divided by v?
2
Suppose 0 = 131*z - 126*z + p - 59, 0 = -5*z + 3*p + 83. What is the remainder when 295 is divided by z?
9
Let h(u) be the third derivative of -2/3*u**4 + 0 + 1/3*u**3 + 0*u - 13*u**2 + 1/15*u**5. What is the remainder when h(7) is divided by 22?
20
Suppose 0 = 3*g - 18. Suppose -g*y + 39 + 75 = 0. Calculate the remainder when (-3 + -6)/((-4)/12 + 0) is divided by y.
8
Let m(o) = -o**3 - 33*o**2 - 31*o + 36. Let f be m(-32). Suppose -122 = -f*s - 66. Calculate the remainder when 133 is divided by s.
7
Suppose -13*u - 640 = -11*u. Let n = -310 - u. What is the remainder when 149 is divided by n?
9
Suppose 82*p - 39 = 81*p. Suppose -9*d + 237 = p. What is the remainder when 109 is divided by d?
21
Let k = -29 - -151. Let a = 136 - 113. Suppose -y + 41 - a = 0. What is the remainder when k is divided by y?
14
Suppose 0 = -1245*q + 1250*q - 1345. Suppose n - q = 5*u, -3*u - 1245 = -4*n - 220. Calculate the remainder when n is divided by 86.
82
Let l be -1 - (-31 - -1) - -5. Suppose -l*g = -1085 - 1125. What is the remainder when 170 is divided by g?
40
Suppose 4*z - 6 = z. Suppose -2*u + z*h = 3*u - 64, 0 = -3*u - 2*h + 32. Let m = -425 - -446. Calculate the remainder when m is divided by u.
9
Suppose -11*o = 422 + 381. Let g = -40 - o. Suppose 0*j - j - g = -2*p, -19 = -p + 3*j. What is the remainder when p is divided by 10?
6
Calculate the remainder when 5/(10/3312) + (442 - 437) + 5 is divided by 1664.
2
Let a = 341 - 288. Let n = 308 - a. What is the remainder when n is divided by 37?
33
Let l(k) = k**2 + 8*k + 9. Let r be l(-6). Let u be (1 - 2)/(r/57). Suppose -u*p + 52 = -17*p. Calculate the remainder when 128 is divided by p.
24
Let k = 2118 - 1967. What is the remainder when k is divided by 96?
55
Let g be (-728)/(-546)*(0/(-2) - -3). Suppose 0 = 3*u - g*u - 4*t + 198, 4*u = -5*t + 847. What is the remainder when u is divided by 32?
26
Let r = 25996 + -25975. Calculate the remainder when 486 is divided by r.
3
Let z be 1488/32 + 12/8. Calculate the remainder when 253 is divided by 8/z - (-1167)/18.
58
Let o = 69297 - 69183. Suppose 0*v = v - 17. What is the remainder when o is divided by v?
12
Suppose -118*b + 307*b - 457124 = 750397. What is the remainder when b is divided by 17?
14
Let g = 430 - -2228. What is the remainder when g is divided by 28?
26
Let v(n) = 97*n - 142*n + 46 + n**2 + 68*n. Let z be v(-21). What is the remainder when (z - 3)/((-182)/92 + 2) is divided by 8?
6
Suppose -5*i - 102 = 16*h - 18*h, 0 = -2*h - 4*i + 102. Suppose 9*z - 8*z - h = 0. What is the remainder when z is divided by 28?
23
Suppose -8*a + 23*a - 855 = 0. Let l = a + -41. What is the remainder when ((-44)/l)/11 + (-1011)/(-12) is divided by 17?
16
Suppose 10*r - 20 = 6*r. Suppose h = -r*l + 104, 4*h - 2*l = -0*h + 306. What is the remainder when h is divided by 31?
17
Let f = -224 + 110. Let l = -100 - f. What is the remainder when 60 is divided by l?
4
Suppose 249 = -56*o + 921. What is the remainder when 221 is divided by o?
5
What is the remainder when 236 is divided by (-5386)/(-26) + (-36)/27 + 598/507?
29
Calculate the remainder when 999 is divided by (-55918)/(-730) - (-3)/2*20/75.
75
Suppose -69*u = 88*u - 148051. Calculate the remainder when u is divided by 45.
43
Suppose -82*m + 84*m + 40 = 0. Suppose -2*a + 3 = 2*z + 29, -33 = 2*z - 5*a. Let r = z - m. Calculate the remainder when 17 is divided by r.
5
Let f be (70/(-21))/(0 + 1/(-27)). Suppose -q + f = 5*q. Suppose 7*n = 10*n - q. What is the remainder when n is divided by 3?
2
Let a be 7/((-28)/(-8)) + 161. Suppose 154*w = a*w - 153. Calculate the remainder when 3/((-3)/11)*-3 is divided by w.
16
Let p = -324 - -286. Let s(x) = 10*x + 5. Let k be s(6). Let w = p + k. Calculate the remainder when 51 is divided by w.
24
Let a(y) = -7*y**2 - 57*y - 28. Calculate the remainder when 3657 is divided by a(-7).
17
What is the remainder when 1473 is divided by (-15)/3*(-9 - -4)?
23
Let t = -428 - -751. Let n = t - 222. Let g = -379 + 405. Calculate the remainder when n is divided by g.
23
Let g(w) = -3*w**3 + 54*w**2 - 43*w - 1. What is the remainder when g(17) is divided by 14?
9
Let p(u) = -7*u + 76. Let s be p(7). Suppose -s*q + 30 = -25*q. Suppose 0 = -5*r, -2*r - r = -4*i + 292. What is the remainder when i is divided by q?
13
Let q = -49 - -111. Calculate the remainder when q is divided by 539/49 + (3 - -4).
8
Let d(p) = -2*p**2 - 103*p + 88. Calculate the remainder when d(-26) is divided by 118.
116
Let r = 1842 - 1825. Suppose c = -3*w + 7, 5*c + w = -0*c + 21. Let a = c + 45. Calculate the remainder when a is divided by r.
15
Let y be (-42)/(-7) - (190 - 1). Let p = -127 - y. Calculate the remainder when 109 is divided by p.
53
Suppose 14*b - 9*q - 266 = -4*q, -4*b + 5*q + 76 = 0. What is the remainder when 75 is divided by b?
18
What is the remainder when (-410)/8*(-3 - 17/((-85)/(-45))) is divided by 20?
15
Suppose 18*a + 4*g + 11026 = 21*a, 0 = -a + 4*g + 3662. What is the remainder when a is divided by 38?
34
Suppose -20*k = -28329 - 3071. Calculate the remainder when k is divided by 21.
16
Suppose -2*h + 43*b = 48*b - 121, b = -2*h + 109. What is the remainder when 101 is divided by h?
48
Suppose -2*l + 8*r - 11*r = -9, 4*l - 4*r = 48. What is the remainder when (-468)/(10 - l)*8/(-6) is divided by 33?
30
Suppose -8*s = -710 - 1418. Calculate the remainder when s - (0/6 + -1) is divided by 30.
27
Suppose 2*u - 2 = -2*h + 20, 4*u + 12 = 4*h. Suppose 0 = 10*i - h*i - 147. What is the remainder when 88 is divided by i?
39
Suppose 553 = -4*a + 1609. Suppose -641 = -45*i + 709. Calculate the remainder when a is divided by i.
24
Let a be 207 + ((-20)/(-5) - 1). Let q = a + 54. Let x = q - 182. What is the remainder when x is divided by 29?
24
Let i = 8115 + -5453. Calculate the remainder when i is divided by 29.
23
Let p = -572 + 580. What is the remainder when 165 is divided by p?
5
Suppose -4*p - 393 = -