Drain clog from house to street
I have a clogged drain between my house and the street. I called the town and they cleared the line on the street so I know the clog is between the house and the street. There are no roots or tree's that could be interfering with the drain (I have no trees in my front yard. I rented a commercial snake from home depot with a 1/2' thick cord. I had gotten the snake about 33 feet out and there is 36 feet between my house and the curb. After measuring the distance that the snake had gone out I went in for what I thought was the final couple feet. Unfortunately after about 30 min of moving the snake further into the pipe I pulled it out and the bit had come off in the pipe.
How should I go about unclogging my drain from here?
Should I rent a 3/4' snake that has more power?
Please help.
Thank you
p.s. the bit I was using on the snake that came off in the drain was circular with teeth on it.