Looking on the internet deeply has found these results:

many problems is the most popular phrase on the web.

lots of problems 11,620,000 results on the web	many problems 12,850,000,000 results on the web More popular!
Some examples and use cases from the internet:	Some examples and use cases from the internet:
I had lots of problems, okay? Okay, there're lots of problems to worry about. And he's got problems, lots of problems. So I fear that there are lots of problems to be resolved. He makes lots of problems for us. trying to figure out when either she or her building manager could let them in. Lots of problems And you have lots of problems.	The Australian Federal Police (AFP) was keenly aware of the many problems technology was creating. I guess I haven't been having many problems. Otherwise, you might have many problems. Milan has many problems including injuries and mental weaknesses of Balotelli. There have been many problems and delays. Inside you both is the solution to many problems. Rising inequality like this is associated with so many problems for a democracy. Afghanistan is a country faced with many problems.

lots of problems

11,620,000 results on the web

many problems

12,850,000,000 results on the web

More popular!

The Australian Federal Police (AFP) was keenly aware of the many problems technology was creating.
I guess I haven't been having many problems.
Otherwise, you might have many problems.
Milan has many problems including injuries and mental weaknesses of Balotelli.
There have been many problems and delays.
Inside you both is the solution to many problems.
Rising inequality like this is associated with so many problems for a democracy.
Afghanistan is a country faced with many problems.