I am always suspicious when someone tells me they have a "standard" publishing contract. While there is certainly formulated language that appears in most publishing agreements, including single song agreements, there is generally no such thing as a "standard" contract. My answer is that you should definitely find a competent ENTERTAINMENT attorney to review this agreement. By signing almost any contract of this nature, you will be giving up your copyright in the musical composition. What are you getting as consideration for that copyright? Is the publisher capable of providing the exploitation of the musical composition that will allow you to make money? Is there a better alternative than a straight forward single song contract (i.e. a "shopping" agreement) wherein you don't lose your copyright unless the song is recorded, for example.
All contracts should be reviewed by an attorney with expertise in the related subject matter. Single song contracts contain provisions that can affect your rights in various ways. Even if the contract is "not subject to negotiation", you should at least understand the legal implication of signing a binding contract before you sign.