My American Standard toilet flushes okay but when it is filling up the water will not stop running unless I lift the top and depress the lever.

Hey, One thing is that maybe there might be some loose plastic shavings in the fill line. From the Factory? or maybe was inside the water line going to the toilet when you connected the line to toilet. Shut off the water and get some towels and something to catch the water and disconnect it from the toilet and use bowl or what ever to catch the water and slowly turn it on and see if anything comes out. Maybe if it is in the line inside the toilet it might fall out by lightly tapping on the fill line inside the toilet to help it fall out. Just a thought when you said it "Sings" that sounds like trash inside the line going to the filler tube and bowl, hey try it who knows it might work. Okay

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Check the fill valve. it may have a bad seal inside or some trash in the water supply (iron or calcium deposits) may have clogged it. Do you hear water running when it's not flushing?

Sorry for problem with new toilet.
You say water is leaking out of the bowl?

Toilets have 2 parts:
1) Tank: where water is stored for the flush and is sealed with a flapper.
2) Bowl: where water flushes down.

a) If tank is leaking water, then flapper is suspect. Replace flapper and see if that works.
Lift up flapper and run finger around rim to see if there is a rough spot that would indicate flush valve is defective, and needs replacement.
See typical flush valve

b) If bowl is leaking, that is very unusual and would indicate a crack in the porcelain.

If installer sold you the toilet, it is his responsibility to make good on product.
All products are guarantee against workmanship flaws.

Most likely the problem is with the fill valve or ballcock. Will need to turn the water off to the toilet and remove the supply line that connects the water to the fill valve. then there is a nut that holds the fill valve to the bottom of the toilet tank. remove that nut and the fill valve will lift out of the tank. replace the fill valve with a reverse process and that should cure the problem.

The bowl is filled up with the little hose inside the tank, it locks inside of the overflow drain. And runs water in there as it flushes to swirl the water and fill the bowl. Water seeks it's own level, and the level in the bowl is at the top of the trap. It has to hold water, unless it isn't filling or it is leaking. Check out the filler and hope the bowl doesn't have a crack in it. Hope this helps.

lift off cover and adjust =shorten length= between flapper and handle lever

the chain should have some slack to it being too tight it dose let the flapper sit properly so itll keep running because water is escaping

Readjust the float. the longer it is the more leverage the fill water will have on it. good luck. The fill valve does come apart and cleaned if there is debri in it. Turn the water off first:)

hello, this is a standard toilet you will need to inspect the flapper that is the rubber flap that holds the water up in the tank it works when you pull the lever it pulls the chain upward and lets the water flow if this flapper is old it may not stay up long enough for the water to flow. open the tank top and flush the toilet see if this flapper is staying up long enough and giving the tank enough time to empty if not change this rubber flapper its inexpensive part.
if this is not the reason then you need to adjust your water filler valve there should be a small screw on top of the pivoting float arm
if you have to adjust it for the water limit line inside the tank this will be the proper amount of water needed to flush once completely

also check that the chain lenth on the pull lever is not pulling the flapper down quicker than its supposed to,

try this let me know your results
hope it helps