Is there a way to unclog a toilet that is clogged by a mop?

Is there a way to unclog a toilet that is clogged by a mop? without killing the tubing? I have tried a draino product that cautioned me to limit usage to under 2 times, but I have tried the product twice and the toilet is still clogged. This is an emergency, so please help quick.
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First, I'm an amateur. I would say that you shouldn't have used chemicals as you did. Nothing out there is going to eat a mop up. Now, if the any concentration is there yet, it will make fixing it more dangerous.
I think that this one is going to require a mechanical method to get the clog opened. If the water has flowed out and you're working with clear water I'd try a closet auger, or failing that, reach in to the trap and see if you can pull it out by hand, preferably gloved.
Other than that, the only thing I might try would be to take the toilet up and get the clog out that way. You'd have to get a wax ring.
Again, I am an amateur.
Ken
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get the donkey!
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"velpon"
There's a tool called a "closet auger" that might be of help. If it's a sponge mop head or the traditional type, it should work very well. This is only true if it's actually caught in the toilet itself. If it somehow made it down the soil pipe, you might need a pro. If not, the toilet will have to be taken up.
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It turned out that I had to get a professional to do it. The thing is he used a closet auger, just like the one I bought :(, except the one I bought was to hard to bend around the corner. Thanks for all the help.

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