use strict;
use warnings;
my $i;
my @q = map { rand() } (1..1000); # your 1000 'q' coefficients as just random numbers here
my @c = map { rand() } (1..1000); # your 1000 'c' coefficients as just random numbers here


my ($a1, $a2, $a3);
my $sum_equ = "";

for ($i=1; $i<1000; $i++) {
      $a1 = (1-$c[$i])*(1-2*$q[$i]);
      $a2 = -2*$q[$i];
      $a3 = $c[$i]*(2*$q[$i] -1);
      # concatenate the equation of this time with the total equation:
      $sum_equ = $sum_equ . "($a1/($a2 * x + x + $q[$i]) + $a3/(2*q[$i]*x-x+1)) + ";
}
$sum_equ =~ s/\+\s*$//; # remove last +
print "library(rSymPy)\n\
x <- Var('x')\n\
sympy('solve($sum_equ, x)')\n
";