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push(@factored_rows,%coefficient_array);

push(@factored_rows, \%coefficient_array);

push(@factored_rows, 'hash_key1', $value1, 'hash_key2', $value2);

@factored_eqns = &factorize(\@eqn_set,\@variables);

my @factored_eqns;
...
@factored_eqns = factorize(\@eqn_set,\@variables);

my @factored_eqns;
...
...
    ...
    foreach $term(@{$equation}) {
    ...

my @factored_eqns = factorize(\@eqn_set,\@variables);
...

    foreach my $term (@{ $equation }) {
    ...

    foreach $equation (@this_eqn_set){ 
    #then for each variable in the eqution
    foreach $variable (@this_variable_set){
    ...

    for my $equation (@this_eqn_set) {
        for my $variable (@this_variable_set) {
            ...