Simplify the rational expressions. Identify the non-permissible values.

  1. \(\frac{{12mn^3 }}{{150m^3 n}}\)



  2. \(\frac{{20z^2 + 45z}}{{30z^3 - 5z}}\)



  3. \(\frac{{10abc + 18a^2 bc}}{{3a^2 b + 8a^2 bc}}\)



  4. \(\frac{{6x^2 + 5x + 1}}{{2x^2 + 5x + 2}}\)