My sympathies. I do not like to deal with a plugged toilet myself.
Anyways let me offer a few suggestions.
The first thing to consider is whether you have a septic system or if your boarding house is on the city sewer system. If you are on a septic system, there is a tank buried outside underground. Waste flows into the tank and bacteria feed off the waste and consume it. But sometimes people flush chemicals down their toilets or other conditions occur and the bacteria are killed and need to be restored to keep the system healthy. There is a product called Rid-X that can be found in some grocery stores or building supply stores. You flush around a cup of this powder down your toilet each month and it restores the bacteria and helps the toilet flush better.
The second thing is that some modern toilets use minimal water. These tend to clog very easily and you may have to flush the toilet several times to make it work properly. So this might be a problem that you are encountering. A toilet should flush the waste away with one flush. So one option is to replace a low-flush toilet (also called a low-flow toilet or high-efficiency toilet) if that is what you have with a full flush toilet.
Any time I experience problems with a plugged toilet, I generally use a plunger first. So make sure you have one in the bathroom. It is only when the clog is deep into the system that I would resort to using a snake.
Also make sure no one flushes inappropriate material (non-flushable items: like paper towels, wipes, tissues, floss, cotton swabs, feminine products, diapers, bandages, kitty litter), down the toilet. Also it is a good idea to have a small trash can in the bathroom for collecting non-flushable items.