0*r**3 + 76. Calculate the remainder when j(0) is divided by 6.
4
Let y be (1 - 1)*(-1)/(-2). Suppose -k = -6*k - 10, y = -5*z - 5*k + 55. Calculate the remainder when 63 is divided by z.
11
Let v be (-1 + -3)/((-40)/2540). Let b = v + -58. Calculate the remainder when b is divided by 23.
12
Suppose 0 = -33*z - 112*z + 5075. Calculate the remainder when 90 is divided by z.
20
Let z = 489 + -496. Suppose 4 = 4*w - 100. What is the remainder when ((-28)/z + (-5 - -2))*47 is divided by w?
21
Suppose 25 - 9 = g. Suppose -218 = -2*x + 234. Suppose -2*l + j = -0*l - 97, 0 = 5*l + 3*j - x. What is the remainder when l is divided by g?
15
Suppose -378 = 2*x + 3*r, -x = 2*x - 5*r + 529. Let z = x + 317. Suppose -n + 2*n - 34 = -6*w, -2*w = -3*n + 102. What is the remainder when z is divided by n?
32
Let u = -13 - -16. Suppose 3*c - 3*l = 6, 2*l - 2 - 6 = -c. Suppose 0 = -c*i + b + 35, 0*i + 4*b = i - 20. Calculate the remainder when i is divided by u.
2
Let c(x) = x**2 + 10*x + 28. Let q(v) = -v**2 - 11*v - 31. Let i(d) = 7*c(d) + 6*q(d). Calculate the remainder when 109 is divided by i(-6).
21
Let g = -166 - -369. Let j(z) = 9*z - 36. Let f be j(5). Let k(l) = -l**3 + 10*l**2 - 4*l + 6. What is the remainder when g is divided by k(f)?
50
Suppose 1684 = 267*r - 18583 + 2378. What is the remainder when 3750 is divided by r?
65
Let u = -85 - -93. Suppose -3*x - u + 95 = 0. Calculate the remainder when x is divided by 5.
4
What is the remainder when 724 is divided by (-4 - -2)*1 - (-3 - (-378)/(-7))?
9
Let o(i) = -7*i**3 - 428*i**2 - 66*i - 248. What is the remainder when 926 is divided by o(-61)?
14
Suppose -753*c + 750*c + 15066 = 0. What is the remainder when c is divided by 67?
64
Suppose 0 = 5*s - 12*v + 9*v - 3070, 2*s = 2*v + 1228. What is the remainder when s is divided by 22?
20
Suppose -2*g - 2*g + 28 = 0. Let p = g + 6. Let u = -22349 + 22397. What is the remainder when u is divided by p?
9
Suppose -9*j + 17*j - 24 = 0. Suppose 0*b + 4*s = j*b + 326, 2*s = 5*b + 520. Calculate the remainder when 17/b - (-578)/12 is divided by 10.
8
Let s = -10618 - -10634. Let q(t) be the second derivative of -t**5/20 - t**4/2 + 7*t**3/6 + 3*t**2 + 2*t. Calculate the remainder when q(-8) is divided by s.
14
Suppose a - 5*a = 2*y - 26, -y + 7 = -a. Suppose -621*t + 6137 = 3297 - 4612. What is the remainder when y/(-1)*(-38)/6 is divided by t?
9
Suppose -130*p + 2355 = -1935. Calculate the remainder when 33 is divided by p.
0
Let k be (1 + -62)*((-24)/4 - 4). What is the remainder when (-9*k/60)/(3/(-4)) is divided by 44?
34
Suppose 137*s = 127*s + 100. Suppose -3*l - 236 = -33*h + 28*h, -l - 193 = -4*h. What is the remainder when h is divided by s?
9
What is the remainder when 958 is divided by 27450/525 - 35/(-49)?
4
Let k be 2/(-7) + 114/7. Let x be (-3 - 1)/(-72 + 70). Suppose x*j - 4 = k. What is the remainder when 17 is divided by j?
7
Let w be (64/(-80))/(2/455). Let v = w - -198. What is the remainder when 57 is divided by v?
9
Suppose -508*q + 2 = -507*q. Suppose -q*v - 27 = -43. What is the remainder when v is divided by 4?
0
Suppose 0 = 4*c + 313 - 337. Suppose 0 = 225*n - 223*n - 244. What is the remainder when n is divided by c?
2
Let u(m) = -7*m**2 - 2 - 9*m - m**2 - 12*m**3 + 11*m**3. Let r be u(-9). Suppose 0*z = 5*z - r. What is the remainder when z is divided by 14?
4
Suppose c + 3*z - 33 = 0, -4*c - 3*z + 190 = 67. Let m(r) = 90*r - 63. Calculate the remainder when m(3) is divided by c.
27
Let m = -1959 - -2058. Let a(n) = -2*n**3 - n**2 + 2*n + 3. Let b be a(3). Let z = b + m. What is the remainder when z is divided by 24?
21
Let g = 2036 + -1883. Calculate the remainder when g is divided by 80.
73
Let s(k) = 6*k**2 - 1515*k - 6050. Let z = 36 + -14. Calculate the remainder when s(-4) is divided by z.
18
Let b(i) = -150*i**2 + 149*i**2 - 2*i + 216 + 22. Calculate the remainder when b(0) is divided by (-30)/(-45) + (-118)/(-3).
38
Let s(r) = 2*r**2 - 15*r - 12. Let i be s(-19). Let q = i - 656. Calculate the remainder when q is divided by 68.
67
Let k(a) = -5*a - 25. Let q be (-4)/(-3)*-3*6. Let m = q + 62. What is the remainder when m is divided by k(-9)?
18
Let x = 49 + 50. Suppose -x*k + 168 = -95*k. What is the remainder when k is divided by 15?
12
What is the remainder when (13/((-39)/1773))/(-1) is divided by 59?
1
Let z be ((-12)/15)/(2/(-170)). Suppose 5*d - 37 = z. Suppose -383 = -5*p + 4*u, -3*p + 4*u = -243 + 2. Calculate the remainder when p is divided by d.
8
Suppose 27*n - 35*n - 4736 = 0. Let q = n + 604. What is the remainder when 199 is divided by q?
7
Let k(l) = 8*l**3 - 2*l**2 + 7*l - 7. Let z be k(1). Let q(a) = 3*a**2 - 23*a + 66. What is the remainder when 57 is divided by q(z)?
21
Let d = -218 - -218. Suppose d = -h + 3*a + 51 - 7, 3*a + 6 = 0. Calculate the remainder when 566 is divided by h.
34
Suppose 0 = -10*v + 11*v - 11. Calculate the remainder when ((-2)/3)/(9/(-675)) is divided by v.
6
Let f(x) = -84*x - x**3 + 8*x**2 - 43 - 3 - 74*x + 166*x. What is the remainder when 37 is divided by f(8)?
1
Let r = -456 - -1339. Calculate the remainder when r is divided by 31.
15
Suppose 4*y + 59*d - 188 = 55*d, -3*d = 21. Suppose -4*c = -29 - 27. Calculate the remainder when y is divided by c.
12
Suppose -28514 + 46488 = 382*f - 139792. What is the remainder when 1285 is divided by f?
46
Suppose 9*f - 7*f = -8*f + 240. Calculate the remainder when 1012 is divided by f.
4
Suppose -50*z + 19*z - 372 = 0. Calculate the remainder when 18/z*14048/(-48) is divided by 49.
47
Let d = 44 + 50. Suppose 149*p - 82*p = 1273. Calculate the remainder when d is divided by p.
18
Suppose -17*i + 16*i + 48 = 0. Calculate the remainder when 3694 is divided by i.
46
Let q(r) = -18*r**2 - 6*r - 4. Let m be q(-2). Let y = -62 - m. Suppose 5*n - y*v - 191 = -0*n, -n - 4*v = -25. What is the remainder when n is divided by 8?
5
Let n(o) = -3*o**2 + 34*o + 7. Let q be n(11). Calculate the remainder when 251 is divided by q*(-14)/(-21) - (-3)/(-1).
8
Suppose -4*r + 5*s = -73, -160 + 189 = 2*r + 5*s. Calculate the remainder when 209 is divided by r.
5
Suppose 8*t - 1293 = 531. Suppose -4*q - 5*n + t = 0, -5*q + 281 = -n + 25. Suppose -q = 11*w - 15*w. What is the remainder when w is divided by 4?
1
Let m = 3760 - 569. Calculate the remainder when m is divided by 31.
29
Let v be (3*(-4)/9)/((-1)/6). Suppose -v - 16 = -4*y. What is the remainder when ((-62)/(-8) - 3)*12 is divided by y?
3
Suppose -92 = -5*j + 3*n, 4*j + 2*n + 7 = 85. Suppose -3*x + 18 = -0*x. What is the remainder when j is divided by x?
1
Let x(h) = -420*h - 4497. What is the remainder when 1228 is divided by x(-11)?
121
Let d = -19 - -23. Let x(j) = 269*j + 17. Let i be x(3). Suppose -4*f = d*f - i. Calculate the remainder when f is divided by 53.
50
Let o(f) = -2*f**3 - 23*f**2 + 12*f - 29. Let m be o(-13). Suppose 11*n - m = -36. Calculate the remainder when 103 is divided by n.
25
What is the remainder when 247 is divided by (2 - 78/4)/(440/112 + -4)?
2
Let v(d) = 12*d - 60. Let j be v(5). Suppose -2*w + 5*n + 41 = 0, w = -j*w + 3*n + 19. What is the remainder when 502 is divided by w?
26
Suppose 0 = -2*d + 43*g - 44*g + 1897, d + 5*g = 971. What is the remainder when d is divided by 56?
50
Suppose 0 = 4*f - 6*g + 9*g - 1876, -1428 = -3*f + 3*g. Calculate the remainder when f is divided by 119.
115
Let k be (14/4)/(-7 + (-519)/(-74)). Suppose -k*u + 266*u = 126. Calculate the remainder when 49 is divided by u.
13
Let m = 90 - 91. Let u be (m/3)/(1/(-12)). Suppose 0 = 2*d + u*i + 7 + 5, -2*d + 4*i = -28. What is the remainder when 6 is divided by d?
2
Suppose -4*n + 4*k + 39112 = 0, 133*n + 3*k - 19526 = 131*n. What is the remainder when n is divided by 6?
4
Let j = -12 + 40. Suppose 0 = 3*k + f - j, 0 = 3*k - 4*f + 2 - 40. Suppose -4*z = 3*d - 302, 3*z = z + d + 156. Calculate the remainder when z is divided by k.
7
Let k = 45 - 19. Let l = -2298 - -1798. Let r = 629 + l. Calculate the remainder when r is divided by k.
25
Suppose o = -4*v + 149, -5*v - 108 = -4*o - 310. Calculate the remainder when 153 is divided by v + -9 + 4 - -6.
36
Let s be (-2)/(6/(-12)*(1 + 0)). Suppose -v + 4*u + 2 = u, -12 = -s*u. Calculate the remainder when 14 is divided by (-28)/(-42)*(1 + v).
6
Let c(