der when i/(-6) - 1/6 is divided by 15?
12
Let k(o) = -o**3 + 15*o**2 - 27*o + 17. Let t be k(13). Suppose r = 4*p - 391, -r + 302 = -p + t*p. What is the remainder when p is divided by 20?
19
Let h = 41 + -72. Let q = 40 - h. Calculate the remainder when q is divided by 18.
17
Let a(t) = 45*t + 14. Let v be a(2). Suppose -2*r + g = -2*g - v, -242 = -5*r + 3*g. Calculate the remainder when 89 is divided by r.
43
Suppose -4*d - 19 = 3*m, 5*d + 5*m = 6*d - 1. Let a = 35 - 17. What is the remainder when 6 is divided by 175/63 - d/a?
0
Suppose -4*n + 138 = -2*m, -143 = -11*n + 7*n + 3*m. What is the remainder when 116 is divided by n?
20
Suppose 0 = -j + 4 + 14. Let y = j + 61. Calculate the remainder when y is divided by 20.
19
Suppose -4*m = -m - 42. Suppose 5 - m = -s. Calculate the remainder when (-15)/(-45)*(2 + (-140)/(-2)) is divided by s.
6
Suppose 0 = -20*t + 26*t - 144. What is the remainder when 164 is divided by t?
20
Let f = 344 + -327. Calculate the remainder when 46 is divided by f.
12
Let y = -18 + 10. Let u = y + 19. What is the remainder when u is divided by 2/6 - 22/(-6)?
3
Let v(t) = -t**3 + 32*t**2 + 47*t + 24. What is the remainder when v(33) is divided by 35?
31
Suppose -6*l + 68 = -448. What is the remainder when l is divided by 30?
26
Suppose 2*r + 86 = 4*r. What is the remainder when ((-282)/12 - -24)/((-2 + 1)/(-168)) is divided by r?
41
Suppose -69 - 45 = -6*g. Let s be (-3120)/(-42) - (-4)/(-14). Suppose 0*f + 2*f = 5*p + 60, 0 = 2*f + 2*p - s. What is the remainder when f is divided by g?
16
Suppose 54*x - 51*x - 83 = -4*p, -2*p = x - 31. Calculate the remainder when 73 is divided by x.
10
Suppose -173*p + 164*p + 432 = 0. Calculate the remainder when 186 is divided by p.
42
Let n(z) be the first derivative of z**5/12 + 7*z**3/3 - 9. Let c(y) be the third derivative of n(y). Calculate the remainder when 88 is divided by c(3).
28
Suppose -7*v + 2 = -6*v, x = -3*v + 48. Calculate the remainder when 165 is divided by x.
39
Suppose 20*t - 31*t + 286 = 0. Calculate the remainder when 50 is divided by t.
24
Suppose -43 = -3*h - 13. Let y(z) = -4*z - 14. Let g be y(-3). Let b = h + g. Calculate the remainder when 21 is divided by b.
5
Suppose -16 = -3*w - 4*f, 0 = -8*w + 12*w - 3*f + 12. Suppose 59 = 2*y + 9. Suppose -12*r + 17*r - y = w. Calculate the remainder when 8 is divided by r.
3
Suppose -32 = 5*t - 47. Suppose -s - 238 = -2*u, -t*u - 2*s + 7*s = -364. What is the remainder when u is divided by 40?
38
Suppose z - 14 = -4*j, -z - 46*j + 44*j + 14 = 0. Suppose 3*r - 2*r - 23 = 0. What is the remainder when r is divided by z?
9
Suppose 21 = 2*j - 25. Let n = -46 - -26. Let g = n + j. Calculate the remainder when 6 is divided by g.
0
Suppose -4*b + 53 = -5*s, 7*s + 5 = 6*s. What is the remainder when 28 is divided by b?
0
Let m(i) = i**3 + 6*i**2 - 8*i + 11. Calculate the remainder when m(-5) is divided by 37.
2
Suppose -r = 0, 2*t - 9*r + 0*r - 208 = -5*r. Calculate the remainder when t is divided by 2/(2/19) - 1.
14
What is the remainder when 111 is divided by 25 - (-7 - (-1 - 3))?
27
Let x = 45 - 36. Let j(r) = -r + 33. What is the remainder when j(x) is divided by 13?
11
Suppose -9*u - u = -50. Suppose -p - 48 = -x, p - 248 = -u*x - 2*p. What is the remainder when x is divided by 19?
11
Let p(o) be the second derivative of -o**5/10 + o**4/4 + 5*o**3/6 - 3*o**2/2 - 38*o. What is the remainder when p(-3) is divided by 13?
11
Suppose 3*p - 2*p - 54 = -k, -4*k + 191 = -p. Calculate the remainder when 144 is divided by k.
46
Let m(d) = -43*d**3 + d**2 + d. Suppose 0 = 5*l + 5*h + 4 + 6, 0 = -2*l - h. Suppose 2*z = 24 - l. What is the remainder when m(-1) is divided by z?
10
Let a(i) = -i**3 + 8*i**2 - 11*i - 8. Let c be a(6). What is the remainder when 40 is divided by (-3 - c)/(-1 - 30/(-33))?
7
Let r(f) be the third derivative of f**4/24 - 5*f**3/3 - 6*f**2. Let c be r(9). What is the remainder when 3*32/12 - c is divided by 6?
3
Suppose 278 = 9*o - 379. Calculate the remainder when 137 is divided by o.
64
Suppose 6*u + 252 = x + 8*u, -5*u = x - 255. What is the remainder when x is divided by 12?
10
Calculate the remainder when 44 is divided by -29*-3*(-1)/(-3).
15
Suppose 4*r - 16 = 0, -7*q + 6*q - 5*r = -67. What is the remainder when 608 is divided by q?
44
What is the remainder when (2 - 74/(-6))*(-3 + 12) is divided by 12?
9
Let m be 22/22*-8*1. Suppose -c + 3*c = 96. What is the remainder when 29 is divided by (-121)/m + (-6)/c?
14
Suppose 31*a - 29*a = 204. What is the remainder when a is divided by 20?
2
Let i = 44 - 58. What is the remainder when 24 is divided by 1/((8/i)/(-4))?
3
Suppose 5*z + 42 = 317. Suppose 4*h + 111 = -113. What is the remainder when z is divided by h/12*(-8 - -5)?
13
Suppose 4*y - 5 = 5*y. Let j be (-10)/50 + (-21)/y. Suppose -2*h = -3*h + j. What is the remainder when 7 is divided by h?
3
Suppose 4*i - k - 29 = 0, 0*k = -3*i + k + 21. What is the remainder when 21 is divided by (-12)/(-2) + i/4?
5
Suppose 0 = 19*b + 6 - 310. Suppose 0*i + 141 = i. Calculate the remainder when i is divided by b.
13
Suppose 2*r + l = -2*r + 61, 2*l + 6 = 0. Suppose -4*p + 7 = -9. Suppose 68 = 2*z - 5*j, j = p*z - z - 89. Calculate the remainder when z is divided by r.
13
What is the remainder when 4367/15 - (-4 + 310/75) is divided by 7?
4
Let t = 40 - 8. Let z = -9 + t. Calculate the remainder when z is divided by 12 + (6 + -10 - -4).
11
Suppose 1 = h, 2*g - 5*h - 517 = -0*h. Let y = g - 147. Calculate the remainder when y is divided by 39.
36
Let x(d) = -7*d**3 + 9*d**2 + 5*d - 9. What is the remainder when x(-4) is divided by 12?
11
Let l = 739 + -133. Suppose -4*r = -3*q - 9*r + l, 3*q + 3*r = 600. Calculate the remainder when q is divided by 50.
47
Let p = 293 + -288. What is the remainder when 112 is divided by p?
2
Suppose -4*h + 8*n - 3*n = -52, 4*h - 12 = -5*n. Calculate the remainder when 29 is divided by h.
5
Calculate the remainder when (-3 - 11)*940/(-70) is divided by 38.
36
Let r(d) = d**2 - 15*d + 2. Let c be r(7). Let x = -22 - c. What is the remainder when 94 is divided by x?
30
Suppose 0 = 5*h - 4*g - 75, -2*h - g + 0*g + 17 = 0. Suppose 3*r - 185 + h = 0. What is the remainder when r is divided by 16?
10
Suppose 4*f - 34 - 10 = 0. Let x = 9 - f. Let g(p) = -2*p**3 - p**2 + p - 1. Calculate the remainder when 15 is divided by g(x).
6
Let q = 14 + -11. Suppose -q*y = -5*y + 180. Suppose -8*f = -3*f - y. Calculate the remainder when 70 is divided by f.
16
Let t(f) = f**3 + 6*f**2 - 2*f + 1. Let d be t(-6). Suppose -d = -8*p + 51. What is the remainder when 55 is divided by p?
7
Let l be (14 - 1)*(-4 - -5). Let b be 6/(-4) + l/(-2). What is the remainder when 64 - (-3)/(12/b) is divided by 16?
14
Let l(v) = -2*v**2 + 10*v + 18. Calculate the remainder when 13 is divided by l(6).
1
Let z be 12*(2/4)/1. Let w be (12 - 20/(-5)) + 5. Calculate the remainder when 228/14 - z/w is divided by 6.
4
Let z(x) = 9*x + 3. Calculate the remainder when z(10) is divided by 16.
13
Suppose d - 69 = -d + l, -5*l + 25 = 0. Calculate the remainder when 256 is divided by d.
34
Let f(c) = 8*c**3 + 70*c**2 - 19*c + 8. Calculate the remainder when 78 is divided by f(-9).
10
Let d = -15 + 10. Let t(l) = -2*l**3 - 10*l**2 - 3*l - 4. Calculate the remainder when t(d) is divided by 4.
3
Suppose 5*v + 161 = -2*z, 0 = -3*v + 6*z - 3*z - 84. Let s = v + 109. What is the remainder when s is divided by 20?
18
Suppose -4*y = -3*y. Let z(i) = -i**3 - 2*i**2 - 2*i + 42. What is the remainder when z(y) is divided by 11?
9
What is the remainder when (-2)/3 + (-316)/(-6) is divided by (174/18 - -3)*(-3)/(-2)?
14
Suppose 3*i - 5*y = 73, 7*i - 83 = 4*i - 5*y. Suppose i = p + p. What is the remainder when 51 is divided by p?
12
Let k be 1/(-6) + 1169/(-42). Let i be (-493)/(-7) - (-12)/k. Let w = -41 + i. What is the remainder when 114 is divided by w?
27
Suppose 2*a + 7*a - 2556 = 0. What is the remainder when a is divided by 8?
4
Suppose 0*u + 9*u = 279. Calculate the remainder when 122 is divided by u.
29
Suppose 5*b + 19 = p, -3*p + p = -3*b - 24. Suppose -2*n + 3*k + 72 = 0, -5*n - 3*k + 2*k + 163 = 0. Calculate the remainder when n is divided by p.
6
Let t(y) = y - 3. Let j be t(2). Let b be (j + -4)*72/(-30). Suppose -7