Toilet is backed onto the laundry room.It doesn't happen all of the time,but if the basement toilet is used,the washer is emptying and I can hear it gurgle in the toilet,that is my cue to run to the laundry room and shut the washing machine off,or else I will have a flood.In the past 3 years it has been snaked from the street in to the house and snaked out to the street twice.There has never been anything on the snake when rolled back in.I think that when they put that bathroom in,something wasn't done right.It seems to always be that toilet.Should I remove toilet and snake down through there or is it going to be,break up the floor and redo some plumbing?

Before we start to tear things up let's find out what's wrong. Seems to me your lines should be clear with all that snaking. Time to run a Sewer-Cam through your system and seer what's up. Sure sounds like a broken pipe downstream from the basement toilet. Let me know what they find, Good luck, Tom