Checking large number of configurations with multiple constraints
Apparently, based on your comments, each condition is a linear inequality, you have a list of conditions, and you want to test whether an assignment satisfies all of the conditions, or find an assignment that satisfies all of the conditions.

Testing whether an assignment satisfies all of the conditions is just a simple matter of programming. For each inequality, you just plug in the values of the variables, then test whether the inequality holds or not.  No special solver or anything is needed.

It's also possible to find an assignment that satisfies all of the conditions, i.e., find values for all of the variables that makes all of the conditions true.  This is exactly the linear programming problem.  There are good, efficiently algorithms known for linear programming.  You can use any off-the-shelf linear programming solver.  They should very rapidly find a valid configuration.