2*k + k = -3*z + 21. Suppose 0 = 5*s + 2*i - 81, i - 75 = -4*s - 4*i. What is the remainder when s is divided by z?
7
Let a be (2/(-7))/(1/(-14)). Suppose -4*s + 341 = 5*i, 0 = -a*s - s + 2*i + 418. Calculate the remainder when s is divided by 22.
18
Let i = -42 + 65. Let s(l) = l**3 - 10*l**2 - 9*l - 16. Let r be 12/(-9) + 1/(-6)*-74. What is the remainder when i is divided by s(r)?
5
Let b = 6 - 28. Let d = -19 - b. What is the remainder when 11 is divided by d?
2
Let x = 1288 + -1163. Calculate the remainder when 621 is divided by x.
121
Let c = 73 + -33. Calculate the remainder when 235 is divided by c.
35
Let u(m) be the third derivative of -m**6/120 - m**5/60 - m**4/12 - m**3/6 - m**2. Let n = 304 + -306. Calculate the remainder when 19 is divided by u(n).
5
Let r(c) = -c**3 + 3*c + 0*c**3 - 3*c**2 - 1 + 9*c**3 + 2*c**3. What is the remainder when r(2) is divided by 19?
16
Suppose 433*h - 184 = 429*h. What is the remainder when 55 is divided by h?
9
Suppose -24 = -5*w + 1. Suppose -w = z - 22. Calculate the remainder when 49 is divided by z.
15
Suppose 188 + 42 = 5*s. Calculate the remainder when 85 is divided by s.
39
Let m(f) = 386*f - 68. Calculate the remainder when m(3) is divided by 78.
76
Let z be 4/6 + 28/3. Suppose 0 = z*f - 6*f - 16. What is the remainder when 28 is divided by (-15)/(-3)*12/f?
13
Let k be 9/(-2)*-1*10. Suppose q - 19 - k = 0. Suppose i = 2*x + 19, 3*i - i - 37 = 3*x. Calculate the remainder when q is divided by i.
13
Let t(k) = 3*k**3 - 6*k**2 + 3. Let x be t(5). What is the remainder when x/4 - (-5 - 3/(-1)) is divided by 10?
9
Let s = -6 - -13. Suppose s*p - 5*p = -56. Let o = -14 - p. Calculate the remainder when 40 is divided by o.
12
Let s(w) = 15*w - 18. Let u = 8 - 3. What is the remainder when s(2) is divided by u?
2
Let g(j) = 3*j**2 + 8*j + 8. Let l be g(-5). Let v = l - 30. Calculate the remainder when 51 is divided by v.
12
Let p = 303 - 293. Calculate the remainder when 67 is divided by p.
7
Let n(j) be the second derivative of j**3/2 + 7*j**2/2 - j. Suppose 3*l - 5*a - 14 - 9 = 0, 2*l + 5*a - 7 = 0. What is the remainder when n(l) is divided by 14?
11
Let w(o) = 6*o**2 + o + 5. Let p be w(-4). Let a = p + 27. Suppose 106 + a = 5*h. What is the remainder when h is divided by 16?
14
Let m(b) = -2*b**3 + 35*b**2 + 19*b + 31. What is the remainder when 1369 is divided by m(18)?
46
Let x = 7 - 2. Suppose -9 = w + 2*w, 0 = -2*s + x*w + 25. Suppose -20 = -s*m + 2*b, -m + 4*b + 11 + 11 = 0. What is the remainder when m is divided by 1?
0
Let g = -250 - -304. Calculate the remainder when 265 is divided by g.
49
Suppose -4*h = -5*d + 1093, -12 = 7*h - 11*h. What is the remainder when d is divided by 16?
13
Suppose -62 = -5*n - 22. Suppose m - 38 = -n. What is the remainder when 88 is divided by m?
28
Let v(u) = 2*u**3 - 4*u**2 + 3*u - 3. Suppose -5*p = -5*l - 5, 0*l + 7 = 2*l + p. What is the remainder when 7 is divided by v(l)?
1
Suppose 4*q = 4, 2*h - 2*q - 54 = 58. What is the remainder when h is divided by (-16)/6*27/(-6)?
9
Suppose -5*z = -33*y + 38*y - 970, 0 = -5*y - z + 938. Suppose 53 = 3*v + 2. Calculate the remainder when y is divided by v.
16
Let s = -137 - -215. What is the remainder when s is divided by 20?
18
Calculate the remainder when 423 is divided by 6 - ((-36)/(-6) - 85).
83
Suppose -5*v = -3*y + 2*y + 6, -4*v = 3*y + 1. Suppose y = 6*z - 17. Calculate the remainder when z is divided by 3.
0
Let r(b) = -b + 10. Let k be r(4). Suppose -4*z - k = -2. What is the remainder when 5 + 12 - (z + 1) is divided by 9?
8
Suppose -259*g = -243*g - 704. Calculate the remainder when 140 is divided by g.
8
Suppose -6*r = -r - 10. Let u be (-850)/(-60) + r/(-12). Suppose -45 = -u*h + 11*h. Calculate the remainder when h is divided by 4.
3
Suppose -7*l + 19 = -9. Calculate the remainder when 118 is divided by l/(-10) - (-1830)/75.
22
Let k(p) = 6 - 7*p + 6 + 3*p - 5. Let f be k(-12). Suppose 11*w = 6*w + f. Calculate the remainder when 42 is divided by w.
9
Let c(x) = 8*x**2 - 15*x - 96. Calculate the remainder when c(-5) is divided by 37.
31
Let f(a) = -138*a - 197. What is the remainder when 232 is divided by f(-2)?
74
Let b(h) = 2*h - 6 - 4*h + 44 + 3*h. What is the remainder when b(7) is divided by 24?
21
Let a(v) = -v**2 + 10*v - 2. Let r be a(10). What is the remainder when 13/(2 + r + 1) is divided by 4?
1
Let z = 413 + -404. What is the remainder when 78 is divided by z?
6
Let d(x) = x**3 - 2*x**2 - 14*x + 14. Calculate the remainder when 225 is divided by d(5).
16
Suppose -2*s + 1654 + 980 = 0. What is the remainder when s is divided by 44?
41
Let s = 62 - 64. What is the remainder when 3 - (0 - -2)*s/4 is divided by 2?
0
Suppose 4 = 2*n - h, 2*h - 3*h - 4 = 0. Let s = 12 - n. What is the remainder when 23 is divided by s?
11
Suppose -10 - 64 = -2*q. Let z = -26 + q. Let n(w) = 9*w**3 - 2*w**2 - 2*w + 3. Calculate the remainder when n(2) is divided by z.
8
Let a(r) = 2*r + 13. Suppose 0 = -4*u + i + 13, u - 3*i - 1 = -6. Calculate the remainder when a(u) is divided by 12.
9
Suppose 0 + 3 = -3*s. Let i be 2 + s - (-5 + 4). Suppose -12 = 5*f + 8, i*f = 2*m - 34. What is the remainder when 50 is divided by m?
11
Let o = 191 + -6. Let q = o - 116. Calculate the remainder when q is divided by 18.
15
Let k be 1/2*((-66)/(-1))/3. Suppose -k*c + 184 = -14. Suppose 3*o + 2*o - 50 = 0. What is the remainder when c is divided by o?
8
Suppose 11*u = 80*u - 4002. What is the remainder when 1505 is divided by u?
55
Suppose -3*o - 251 = -4*o. Calculate the remainder when o is divided by 11.
9
Suppose 3*y = 9*y - 498. Suppose -2*g + y = -3*a, 0*g = g + a - 34. What is the remainder when 110 is divided by g?
36
Let j(b) = b**2 + 32*b + 101. Calculate the remainder when j(-29) is divided by 10.
4
Suppose -255 - 122 = -2*i - 5*w, 0 = 3*i - w - 540. Calculate the remainder when i is divided by 62.
57
Let d be (-2 + 12)*(4 - 3). Suppose -154 = -d*g - 14. What is the remainder when 83 is divided by g?
13
Suppose 2*w + 105 = 447. Suppose 3*n - w = 9. Suppose -3*b + n = 2*i + i, i + 5*b = 40. Calculate the remainder when 43 is divided by i.
13
Let a be 8/4 - (-4)/2. Let b = 1 - a. Let j = 1 - b. What is the remainder when 5 is divided by j?
1
Let j = 30 - 31. What is the remainder when 39 + j*(-2 + -1) is divided by 9?
6
Suppose -2*s + 3*d + 27 = -4*s, 6 = s - 5*d. What is the remainder when 27 is divided by (-86)/(-6) + 3/s?
13
Calculate the remainder when ((-3)/(-4)*22)/(14/3360*40) is divided by (-1)/(-2) - (-210)/4.
46
What is the remainder when 238 is divided by 0 + 5 - 35/10*-2?
10
Let q(o) = o**3 - 3*o**2 + 2*o + 7. Let y be ((-2)/6)/(13/(-234)). Let l be q(y). Suppose -2*i - 53 + l = 0. Calculate the remainder when i is divided by 13.
11
Let t = -823 - -1036. Calculate the remainder when t is divided by 16.
5
Suppose 892 = 2*i + 4*x, 3*i + 2*x - 1754 = -i. Let o = 168 - 17. Suppose 0 = -5*c + i - o. What is the remainder when c is divided by 30?
27
Let j = 0 + 5. Suppose 3*z + 30 = 5*z. Suppose -2*w + 39 = m - 6*w, 0 = -3*w - z. What is the remainder when m is divided by j?
4
Let r(l) = -l**3 - 4*l**2 - 3*l + 6. Let y(h) = 2*h**3 + 9*h**2 + 5*h - 11. Let k(o) = 7*r(o) + 4*y(o). What is the remainder when k(-4) is divided by 17?
15
Let y = -143 + 293. Let w = y - 125. What is the remainder when w is divided by 1/((-2)/(-24)) - -1?
12
Let p = 8 - 6. Calculate the remainder when (2/10 + (-14)/(-30))*15 is divided by p.
0
Suppose 52 = -2*o + 4*o. Suppose 2*z - 3*z = -o. Let p = -279 - -286. Calculate the remainder when z is divided by p.
5
Let f = 28 - 18. Let b = -5 + f. Let z = 11 - b. Calculate the remainder when 17 is divided by z.
5
Let o = 2200 + -2192. Calculate the remainder when 35 is divided by o.
3
Suppose 8 = 4*g - 20. Let c be (-3)/(-6)*4*-1. Let u(j) = -13*j + 1. What is the remainder when u(c) is divided by g?
6
Suppose -10 = m - 75. Let d = -3 - -6. Suppose -d*k + 68 = k. What is the remainder when m is divided by k?
14
Let t(h) = 62*h + 6. Let y = -72 - -75. Calculate the remainder when t(y) is divided by 49.
45
Suppose 0 = -3*x + 12, -4*v + 3304 = -2*x + 3*x. What is the remainder when v is divided by 9?
6
Suppose 2 = j - 17. Suppose -6 = 4*f - 6. Calculate the remainder when (-3 + f)*(-140)