Form 2441 - No SSN Provided
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If you paid child and dependent care expenses, but the individual care provider has not provided, and will not provide their Social Security Number (SSN) to you, you may still be able to claim the Child and Dependent Care Credit. You must show that you have completed your due diligence to obtain the information. You may do this by asking the provider to complete Form W-10, Dependent Care Provider’s Identification and Certification.
If you need help accessing Form 2441, read our article Form 2441 - Entering Child and Dependent Care Expenses in Program. During the interview, check the box This person would not provide their SSN on the care providers information screen. 
Checking this box will allow the provider information to flow to Federal Form 2441, Child and Dependent Care Expenses, for purposes of calculating the credit. You will need to attach an explanation to the return regarding the due diligence taken in attempting to obtain the social security number. This explanation statement will be attached to the paper filed return.