I have a Kohler Cimarron toilet and it does not flush. It's clear of any cloggs. I've adjusted the float and flapper chain. It just won't flush unless I hold down the handle.

Smart-a$$ answer is to find an old 3 gallon pot in a salvage place. Best answer is to fiddle with the chain that goes from the handle to the flush flapper and see if adjusting its length makes a difference. If it's too short it might result in letting the flapper closing too soon and allowing your deposit to remain.

Either the bottom outlet washer or the inlet valve washer needs replacing. It is a common condition, and if unsure, call a handyman in. An expensive plumber should not be needed.
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i don't know about your toilet but i googled it and found this it's the flapper and flush valve
https://www.plumbingsupply.com/images/kohler-flush-valve-1044458.jpg
and you can go here and see all the parts in it,hope this helps you out.
https://www.plumbingsupply.com/kohlertoiletparts-cimarron.html

If there is a continual leak in to the toilet bowl you will likely need to replace the flush valve or the toilet flapper.

As a first step try try cleaning the sealing surface of the flush valve to se if the flapper will seat and make a seal.

If this does not work and the flapper is visibly detioriated and breaking down shut off the water supply, remove the toilet flapper and visit your local plumbing supply store to purchase a suitable replacement. Install the new flapper, turn on water supply.

These illustrated instruictions may also assist:

http://www.danco.com/HowTo/How-To-Replace-a-Toilet-Flapper

Although less likely, if the sealing surface of the flush valve is damaged or detioriated proceed with replacement of the flush valve. Again turn off water supply and follow the instructions set out here:

http://www.danco.com/HowTo/How-To-Replace-a-Flush-Valve

If there is not a leak in to the toilet bowl and the water flow does not shut off completely, then water is flowing through the fill valve and the overflow pipe and you may need to adjust the float and float rod to allow clsoure of the fill valve. See here:

http://www.danco.com/HowTo/How-To-Replace-a-Float-and-Float-Rod

The exact cause of a Kohler Cimarron toilet running non-stop depends on the exact model of toilet owned. In some, the lift chain connected to the handle can become kinked, preventing the ball seal from covering the drain completely. Just unkink the chain to fix this. In other cases, the float ball is stuck against the side of the tank, preventing it from returning to its normal horizontal position. When this happens, the toilet's tank doesn't stop filling with water. The excess continuously flows into the overflow pipe. Dislodge the float ball from the side of the toilet and this should clear the problem. Likewise, you might consider shortening the armature on which the float ball sits, so it won't become stuck again.

Read more: Troubleshooting a Kohler Cimarron Toilet ' eHow.com http://www.ehow.com/how-does_5017443_troubleshooting-kohler-cimarron-toilet.html#ixzz1CxKmz9ZQ

The Kohler Cimarron is one of the most popular and reliable toilets out there. (My Favorite). However, depending on the hardness of the water and if you use cleaner tabs in the tank, these factors can lead to a malfunction.
The first thing you should do is hold the flapper (rubber seal inside the tank that releases the water down to the bowl) down with your hands for a few seconds after a flush and see if the toilet stops running. Sometimes the flapper doesn't seal properly therefore the fill valve keeps working non stop. Stopping the fill while holding the flapper down will confirm that your flapper needs to be changed.
If this doesn't work then try this....
The other common problem with a running toilet is with the fill valve itself. There is an attached float on the fill valve that goes up and down depending on the water level. Once the water level rises, it rises the float, and the float tells the fill valve to stop filling the tank. While the toilet is running (hissing), try raising the float all the way up with your hand and see if it stops. If it stops but not consistently with every attempt, then you will need to change the fill valve. I believe the Fluidmaster 400A is the replacement model.

A couple of thing's to check the fill tube in the tank is it connected from the fill valve to over flow. This fill's th ebowl up with the required amount of water.
Next is the water filling to the line on the fill tube with in 5/8 " from top of tube. Adjust the float to get it with in the fill amount required.

The chain on the flapper need's some slack, you just have to move it a little till it get's adjusted right. Water level low in the tank will affect the flapper also.

I hope this will be of some help for you.

Note: Before doing any major work on your toilet, be sure to turn off the water supply to the toilet...

If your toilet's "guts" have an float ball, try unscrewing the ball a little to lengthen the float (which controls the water shut off)

If that does not work, try putting a little bend in the arm that the float connects to get the ball lower into the tank.

If you are referring to the style float that surrounds the fill tube like a doughnut, most likely you have some sort of build up either on the fill tube the float surrounds, or on the float itself - or both - that is causing friction that not allowing the float to travel (and shut off the water fill into the tank

If you are referring to the flapper at the bottom of the tank that allows water to travel from the tank to the bowl, most likely it is has two "arms" that anchor to the flapper to the fill tube. There may be some buildup on these arms that needs to be removed to allow the flapper to open and close easily.
If the flapper is not closing, you may also have a chain that is binding up when the flush handle is pushed. Clean the chain with some CLR, and/or remove any excess links that are piling up when the flapper is closed.

there may be water in the bulb on the flapper. there needs to be only water so it floats while there is water in the tank. if the air is leaking out, the flapper won't float. it might be best to replace the flapper. it's only a few dollars at home depot or lowe's.

These models need to have a flush valve flapper that has a styrofoam float on the lift chaninof the flapper. Go to hardware store or home improvement store and get a 'Korky brand toilet tank flapper with float 'ball". Cut the rubber ring piece away from the flapper and you don't need it (see cut here marks on flapper). Install flapper and adjust the float fairly close to the flapper.
When the water level drops in the tank and reaches the level of the float on the opne flapper, the flapper quickly closes causing the toilet to have a "surge" of siphon action which forces the water in the bowl to be drawn out.