s divided by 3.
1
Let o be 4/(-18) - (-47)/9. Let a(d) = 5*d + 5. Suppose -51*l - 992 = -175*l. What is the remainder when a(o) is divided by l?
6
Let n(s) = 30889*s - 1. Let h be n(-1). Let f be 2/7 - h/(-70). Let l = -314 - f. What is the remainder when l is divided by 32?
31
Suppose -2*a + 4*i = 30, 3*a + i = 4*i - 60. What is the remainder when 99 is divided by (9 + -8)/((-1)/a)?
24
Let n = 11 - 7. Suppose 2*s - 3*a = 74, -2*s + s = 3*a - 19. Let g = s - 22. Calculate the remainder when g is divided by n.
1
Suppose 2*g - 196 = 4*x, 4*x + 5*g + 122 = -60. Let o = x + 63. What is the remainder when 44 is divided by o?
14
Suppose 5*o - 73 = -3*r, -3*o - 38 - 27 = -5*r. Suppose -r = 4*p - 60. Let v = 10 - -22. Calculate the remainder when v is divided by p.
10
Suppose -90 = -71*g + 65*g. What is the remainder when g is divided by 11?
4
Let d(s) = -s**2 + 11*s - 12. Let t be d(11). Let v = t + 17. Let m(k) = 2*k**2 - 3*k + 7. Calculate the remainder when 123 is divided by m(v).
39
Suppose 1028*x - 1037*x + 216 = 0. Calculate the remainder when 127 is divided by x.
7
Suppose 0 = 2*u - 3*u + 10. What is the remainder when 5*(-2 - (-216)/u) is divided by ((-585)/99 - 1/(-1 + 12)) + 31?
23
Let w = -37 + 53. Let l(x) = 8*x**2 - 2*x - 2. Let f be l(-2). Let o = -3 + f. What is the remainder when o is divided by w?
15
Suppose 0 = 13*c - 850 + 226. Calculate the remainder when c is divided by 45.
3
Suppose -j + 3*j = k - 86, 3*k = -3*j + 276. Let w = 105 - 102. Suppose w*b + 2*b = 5*m - 130, -54 = -3*m - 5*b. Calculate the remainder when k is divided by m.
21
Let j be 0 + (9/(-3) - -11). Suppose j = s - 0. Calculate the remainder when 23 is divided by s.
7
Suppose 7*o - 243 + 12 = 0. What is the remainder when 125 is divided by o?
26
Suppose -18*o + 60 = -23*o. What is the remainder when 123 is divided by (172/6)/((-5)/(90/o))?
37
Suppose -37*p = 2*p - 2028. What is the remainder when 85 is divided by p?
33
What is the remainder when 120 is divided by (-3)/(-12)*(15 + 121)?
18
Let u(n) = -6*n - 9. Let x be u(-9). Suppose -4*w + x + 43 = 0. Let j(r) = r + 42. What is the remainder when j(0) is divided by w?
20
Let c = -13 - -16. Suppose -l + 71 = -4*s, -l - 5*s - 157 = -c*l. What is the remainder when l is divided by 23?
22
Suppose -7*y - 7*y + 294 = 0. What is the remainder when 102 is divided by y?
18
Let l(s) = 5*s + 304. What is the remainder when 1149 is divided by l(-56)?
21
Suppose 2*j = 5*s + 184, -5*s - 5*j - 17 = 188. Let w = s + 35. What is the remainder when (2 - w)*(-44)/(-5) is divided by 15?
14
Calculate the remainder when 102 is divided by (-73 - -81)/((-4)/(-14)).
18
Let z(b) = -b**3 - 4*b**2 - 6*b - 9. Let i be z(-4). Suppose -10*g - 265 = -i*g. Calculate the remainder when g is divided by 21.
11
Let h = 378 + -355. What is the remainder when 85 is divided by h?
16
Let u = -25 - -30. Suppose 3*x + 196 = 4*q, -5*x = -u*q - 3*x + 245. Suppose q*z = 45*z + 196. What is the remainder when z is divided by 25?
24
Let s(v) = -v**2 + 8*v + 2. Let z be 14/3 + 1/3. Let x = 101 - 53. What is the remainder when x is divided by s(z)?
14
Let q(p) = 5*p**2 + p - 4. Let r = -180 + 204. What is the remainder when r is divided by q(2)?
6
Let c(v) = -v**2 + 15*v + 14. Let d be c(16). Let a = d - -17. Calculate the remainder when 28 is divided by a.
13
Suppose 7 = 6*j - 59. Calculate the remainder when 87 is divided by j.
10
Let o(u) = -8*u - 143. Let q(d) = -2*d + 3. Let x be q(3). Let p = 6 + x. Calculate the remainder when o(-19) is divided by p.
0
Let c(w) = w + 31. Let t(v) = -v + 4. Let x be t(4). Let q(f) = -3*f**2 - 160*f - 200. Calculate the remainder when c(x) is divided by q(-52).
7
Let g(f) = 2*f**2 + f. Let w be g(1). Let d be 6*(w - (-4)/(-6)). Suppose -5*q + 64 - d = 0. What is the remainder when q is divided by 4?
2
Suppose 165 = 3*h - 4*n, h + n + n - 45 = 0. Suppose 0 = -3*q + 101 - 260. Let k = -40 - q. Calculate the remainder when h is divided by k.
12
Suppose -4*b = -r - 131, 8*b - 122 = 4*b - 2*r. Calculate the remainder when (-1006)/(-8) + (-3)/4 is divided by b.
29
Suppose -646 = -3*j - 361. What is the remainder when j is divided by 35?
25
Suppose 0 = -2*c - 5*j + 17 + 95, -5*c - 5*j + 250 = 0. Suppose o - 32 = -3*o. What is the remainder when c is divided by (-7)/28 - (-98)/o?
10
Let l = -1217 + 1230. Calculate the remainder when 714 is divided by l.
12
Suppose 3*m + 3*j = 954, -9*j - 6 = -7*j. Calculate the remainder when m is divided by 54.
51
Let q = 39 + -63. Let x = 22 + q. What is the remainder when 18 - (-3 + (-12)/x) is divided by 6?
3
Suppose -5*f + 147 = -3*c - 693, 4*f = 5*c + 685. What is the remainder when 824 is divided by f?
164
Suppose -1636 + 2149 = 9*o. Suppose 0 = -0*p + p - 20. What is the remainder when o is divided by p?
17
Suppose 179 = -3*n + 704. Let k(a) = a**3 + a + 3. Let v be k(0). Suppose -v*p = -2*w - n, -p + 0*w + 60 = -w. Calculate the remainder when p is divided by 28.
27
What is the remainder when (-330)/(-6) - (2 + -1*2) is divided by 28?
27
Suppose 2*n + 13*n - 120 = 0. Calculate the remainder when 118 is divided by n.
6
Let i = 31 - 20. Let l be (12/(-2 + 0))/(-2). Suppose -2*n = -n - 5*p - 21, -l*n + 63 = 2*p. Calculate the remainder when n is divided by i.
10
Suppose 2*z = 6 - 18. Let v(g) = -3*g - 10. Calculate the remainder when 11 is divided by v(z).
3
Let b(u) = -u**2 + 7*u + 1. Let h be (34 - 3)*(-1)/(-1). Suppose -7*n + 122 = h. What is the remainder when n is divided by b(6)?
6
Suppose 28*v - 26*v = -306. Let r = -125 - v. Calculate the remainder when r is divided by 15.
13
Let m = 55 - 55. Calculate the remainder when (-166)/(-6) + m - (-2)/6 is divided by 5.
3
Let m(p) = 7 - p**2 - 3 + 2*p**2. What is the remainder when ((-9)/(-6) - 2)*-156 is divided by m(-4)?
18
Suppose -41*i + 1224 = -9969. Calculate the remainder when i is divided by 23.
20
Suppose 48 = -6*t + 138. Let s(o) = o**3 - 5*o**2 - 3*o - 9. Let q be s(8). Suppose -q + 41 = -2*f. What is the remainder when f is divided by t?
14
Suppose -7 = p + 3*g, 0*p - 21 = 4*p + 5*g. Let q be (p/6)/((-7)/42). Suppose q*n + 98 = 6*n. What is the remainder when n is divided by 13?
10
Let n = 281 + -209. Calculate the remainder when n is divided by 22.
6
Suppose -20 = 6*n - 14. Calculate the remainder when n*((-1590)/(-6))/(-5) is divided by 9/(2/2)*1.
8
Let c(q) = 8*q - 32. Let j be c(13). Calculate the remainder when 22 is divided by (j/(-30))/((-3)/10).
6
Let s(q) = -q**3 - 17*q**2 - q - 17. Let d be s(-17). What is the remainder when d/(-6) - (-57)/3 is divided by 5?
4
Let f(z) = 5*z**2 - 11*z + 49. What is the remainder when f(3) is divided by 21?
19
Let c = 3144 + -2986. Calculate the remainder when c is divided by 23.
20
Let v(f) = f**3 + 6*f**2 + 3*f - 6. Let w be v(-5). Suppose 3*i + 11 = 3*h - w, 22 = -2*i + 5*h. What is the remainder when 15 is divided by (i/3)/((-1)/18)?
3
Let r(t) = -1 + 0 - 2 - 4*t. Let k be r(5). What is the remainder when (k/3)/(2/(-6)) is divided by 8?
7
Suppose -5*c - 128 = 2. Let s = -26 - c. Suppose -2*t = -2*v - v + 67, 2*v - 3*t - 48 = s. Calculate the remainder when 39 is divided by v.
18
Let q(u) be the first derivative of 3*u**4/4 - 4*u**3/3 + 2*u**2 + 4. What is the remainder when q(4) is divided by 49?
46
Let m(l) = -5*l**2 + 2*l - 43. Let p(x) = -3*x**2 + x - 22. Let n(k) = 4*m(k) - 7*p(k). What is the remainder when n(9) is divided by 25?
22
Let x = 634 + -597. Calculate the remainder when 99 is divided by x.
25
Let y(v) = -81*v + 2. Let n be y(1). Let l = 152 + n. Let z = -8 + 33. What is the remainder when l is divided by z?
23
Let h = 28 + -18. Suppose 0 = 2*w - 2 + 6. Calculate the remainder when (w/(-1))/(4/54) is divided by h.
7
Let f = 0 - -7. Let t(h) = -h**2 - 7*h - 5. What is the remainder when f is divided by t(-5)?
2
Suppose 3*q = -11*m + 16*m + 1199, 5*q + 4*m - 1986 = 0. What is the remainder when q is divided by 25?
23
Suppose -c = -6*c + 140. Suppose -5*n - 33 = -3*o + o, -n - 21 = -4*o. What is the remainder when c is divided by (o + -4 - 1) + 19 + -3?
13
Let v(h) = h**3 + 11*h**2 + 5*h + 2. Let o(s) = 16*s + 39. Calculate the remainder when v(-8) is divided by o(0).
37
Let i(a) = -a**2 - a + 3. Let j be i(5). Let s = -8 - j. Let w = -6 + 17. What is the remainder whe