0*r = -x*r + 27. Calculate the remainder when 60 is divided by r.
6
Let v(n) be the first derivative of 26*n**3/3 + 13*n**2/2 + 2*n + 110. Calculate the remainder when v(-3) is divided by 25.
22
Calculate the remainder when 2789/6 + (-1 - (-21)/18) is divided by 80.
65
Suppose 12 - 80 = -3*z + 4*f, -3*z + 62 = -f. Suppose 20*n = 26*n - 450. Let j = n - 69. Calculate the remainder when z is divided by j.
2
Suppose -3*w - x - 2 = -w, -10 = 5*x. Suppose -b - 3*b + 8 = 0, w = 3*m + 5*b - 10. Suppose m = -l - l + 18. What is the remainder when 35 is divided by l?
8
Let y be 2 + -5 - (-4 + -10). Calculate the remainder when 26 is divided by ((-10)/(-4))/(y/110).
1
Suppose -n + 56 = -0*n. Calculate the remainder when (17/5 - 1)*744740/6476 is divided by n.
52
Suppose z - 11*l = -15*l + 132, -3*l - 275 = -2*z. Let r be (-752)/14 + (-4)/14. Let s = z + r. What is the remainder when s is divided by 29?
24
Let v = 1331 - 621. Calculate the remainder when v is divided by 89.
87
Let q(p) = -282*p + 12433. Suppose -2*a - 1220 = -7*a. What is the remainder when a is divided by q(44)?
19
Let a = 108 - -33. Suppose 4*p - 510 = -f - 318, 0 = -5*p - 2*f + 240. What is the remainder when a is divided by p?
45
Suppose -40*s + 4285 + 5907 = 156*s. Suppose -3*p - 51 = -6. Let u = s + p. What is the remainder when u is divided by 14?
9
Let o(h) = -17*h**3 + 3*h - 4. Suppose -21*v + 26*v = m - 20, 3*v - 3*m = -24. Calculate the remainder when o(v) is divided by 50.
46
Let u = 7749 + -6644. What is the remainder when u is divided by 101?
95
Suppose 0 = 16*z - 20*z - 3*i + 1035, -4*z + 3*i = -1029. Calculate the remainder when z is divided by 15.
3
Suppose -2*p - 3*w = -3*p + 42, -3*p - 3*w = -114. What is the remainder when p is divided by -30 + 42 + (-14)/(-7)?
11
Let r(w) be the first derivative of -283*w**2/2 + 34*w + 92. What is the remainder when r(-1) is divided by 11?
9
Suppose 216 - 20 = 3*a + z, -a = -2*z - 77. Calculate the remainder when 97 is divided by a.
30
Let z(w) = w**3 - 22*w + 23*w**2 + 87*w - 29*w - 18*w - 55. Let j = 32 - 23. What is the remainder when z(-22) is divided by j?
6
Let b(o) = o**3 + 4*o**2 + 2*o + 3. Let g be b(-4). What is the remainder when ((-156)/g)/(776/(-80) - -10) is divided by 1 - -1 - (-16 + -3)?
20
Suppose -141*u + 14103 = 16*u + 5782. Calculate the remainder when 1002 is divided by u.
48
Let w = 224 + -224. What is the remainder when 57 is divided by (-22 + w)*(-1 + 0)?
13
Let s(c) = -c**3 + 19*c**2 + 48*c - 18. Let w be s(21). Suppose 2*k + w = 6*k. Calculate the remainder when k is divided by 21.
6
Let a be 46/(-299) - 17076/39. Let k = -397 - a. What is the remainder when 77 is divided by k?
36
Let d = -1195 + 2050. What is the remainder when d is divided by 39?
36
Suppose 10479 = -6*a + 333*a - 6852. What is the remainder when 310 is divided by a?
45
Let s(i) be the third derivative of 7*i**4/24 - 22*i**3 + 141*i**2. What is the remainder when s(28) is divided by 17?
13
Let b(i) = -i**3 + 6*i**2 + 8*i - 30. Let t(l) = 0*l**2 - 10 + 11*l**2 - 3 - l**3 - 9*l. What is the remainder when t(9) is divided by b(5)?
33
Let n(g) = -g**3 + 5*g**2 - 7*g + 12. Suppose 134*y - 2900 = 114*y. Calculate the remainder when y is divided by n(2).
5
Let v(c) = 8*c - 174. What is the remainder when 182 is divided by v(27)?
14
Let i = 6512 + -4461. Calculate the remainder when i is divided by 29.
21
Let w(f) = 82*f**2 + 188*f + 375. Calculate the remainder when w(-2) is divided by 110.
107
Suppose 0 = -113*z + 45*z + 94724. What is the remainder when z is divided by 14?
7
Suppose 4*l + 436 = -5*y, 3*l - 152 = 2*y - l. Let s = y + 84. Suppose t - 5*t + 72 = -5*d, -3*t + 3*d + 54 = s. What is the remainder when 45 is divided by t?
9
Suppose i + 0*i = -4*c + 44, -4*c - 3*i = -36. Let d be 8 + (-4)/(c/9). Suppose 34 = d*f - 56. Calculate the remainder when 34 is divided by f.
16
Let l(v) = -2*v**3 + 12*v**2 - 4*v + 28. What is the remainder when 2756 is divided by l(-6)?
8
Let h(n) = 5*n - 40. Let d be h(9). Calculate the remainder when (2 + -1)*-19*-1 is divided by 16*(2 + 5/10)/d.
3
Suppose 4 = 4*u, 5*r + 15 = 10*r + 5*u. Suppose -2*j + r*i = -160, 5*i = -0*j + 4*j - 323. Calculate the remainder when j is divided by 20.
17
Let g(w) = -13*w - 75. Let n be g(-7). Suppose n*p - 378 = 22. What is the remainder when 48 is divided by p?
23
Suppose -2*r = n - 47, -78 = -2*n + r + 11. Calculate the remainder when n is divided by ((-2)/(-4))/(11/528).
21
Let x = 423 - 393. Suppose -371 = -37*i + x*i. What is the remainder when i is divided by 16?
5
Let s be (2/3)/(47/282) - -46. Suppose 2*y = -4*g + 1210, 5*g - 1520 = -s*y + 55*y. What is the remainder when g is divided by 17?
14
Let x = 149 + -318. Let w = 192 + x. Calculate the remainder when -7*((-6)/(-2) + -9) is divided by w.
19
Calculate the remainder when 427 is divided by (-2 + -77)*8*10/(-80).
32
Let v(i) = 2*i**2 - 18*i - 20. Let k be v(10). Suppose 2*a - 3*a + 36 = k. Calculate the remainder when (-8)/(-36) + 2944/a is divided by 17.
14
Let s = -273 + 174. Suppose -a = -6*a + 60. What is the remainder when ((-40)/(-15) + -3)*s is divided by a?
9
Suppose 4*n = 3*n + 93. Calculate the remainder when n is divided by 13416/264 - ((-168)/(-44) - 4).
42
Suppose 3*x = -4*r + 47, 4*r - 4*x - 17 = -x. Suppose -251*t + 225*t + 202 = -552. What is the remainder when t is divided by r?
5
Let v = -1048 - -1523. What is the remainder when v is divided by 110?
35
Suppose 3*w - 5*j = 32, -3*w + 3 = 2*j - 22. Suppose -2*l + 2 = 3*i, 2*l + 9 = 2*i - w. Suppose 3*h - i*h = -23. What is the remainder when 45 is divided by h?
22
Suppose -29*f + 6674 - 59106 = 0. Calculate the remainder when f/(-12)*3/2 is divided by 46.
42
Let j(s) = 31*s - 419. What is the remainder when j(39) is divided by 730?
60
Let m = 16 + -10. Let a(w) be the second derivative of w**5/20 + 23*w**4/12 + 23*w**2/2 - 8*w + 3. Calculate the remainder when a(-23) is divided by m.
5
Suppose 704 = 3*l + 5*k, 2*l + 3*k = 3*l - 216. What is the remainder when l is divided by 513/9 - (-119 + 115)?
45
Let v(n) = 1886*n - 11250. What is the remainder when 1582 is divided by v(6)?
64
Suppose -2*b = -5*i - 191, 5*b - 265 = 3*i + 203. What is the remainder when b is divided by (12/(-15)*8)/((-2)/10)?
29
Let k be 1/((-2)/(-3) + 7/(-21)). Suppose -53 + 62 = -k*q. Calculate the remainder when (q/(-4))/(6/432) is divided by 14.
12
Let g(p) = -p**3 + 78*p**2 + 191*p - 1194. Calculate the remainder when g(80) is divided by 14.
12
Let n(f) = -3*f**3 + 30*f**2 + 13*f - 12. Let u = -150 - -160. Calculate the remainder when n(u) is divided by 37.
7
Let a(t) = 18*t**2 + 3*t - 5. Suppose 28*l - 1 = 27*l. Calculate the remainder when 202 is divided by a(l).
10
Let r(j) = j**2 - 19*j + 63. Let u be r(15). Suppose 4*a + 4*b - 104 = 0, u*a + b = 117 - 47. Let v = -10 - -22. Calculate the remainder when a is divided by v.
10
Let c(j) = -j**3 + 3*j**2 + 134*j - 45. What is the remainder when 545 is divided by c(13)?
6
Let f = -1166 - -771. Let g = 486 + f. Calculate the remainder when g is divided by 8.
3
Suppose 409497 = 124*p - 22271. What is the remainder when p is divided by 27?
26
Let n be 15/(-20)*(1 + -5). Suppose 0 = -n*r + 25 + 71. Calculate the remainder when (-370)/(-6) - 9/(-27) is divided by r.
30
Let p(s) be the third derivative of -s**4/12 + 97*s**3/6 - 77*s**2. Calculate the remainder when p(32) is divided by 12.
9
Let h = 106 - 49. Let i = h + -59. Let k(a) = -33*a + 5. Calculate the remainder when k(i) is divided by 24.
23
Suppose 7164*u - 154245 = 7099*u. Calculate the remainder when u is divided by 41.
36
Let x(t) = 2*t + 12. Let u be x(-5). Suppose 55*y + u = 57*y. What is the remainder when 63 is divided by (-66)/(-5) - (6/5 - y)?
11
Let k(m) = -m**2 + 9*m - 2. Suppose -2*s - 20 = -28. Let q be 1*(3 - 0) + s. What is the remainder when 58 is divided by k(q)?
10
Suppose -5*v = 6*x - x - 280, 0 = -4*x - 16. Let q = v + -20. Let y = -47 + 61. What is the remainder when q is divided by y?
12
Let w = -14289 - -14587. Calculate the remainder when w is divided by 50.
48
Let z(t) = -35*t - 60. Let d = 25 + 78. Calculate the remainder when d is divided by z(-3).
13
Let p(l) = -l**3 - 10*l**2 - 79*l - 201. What is the remainder when 1469 is divided by p(-