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If the dependent earned no other income than Social Security during the tax year, the income is not taxable or reportable, and thus a return is not required.

If the child has enough other income to be required to file, then he/she should report the Social Security on his/her return.

If the child lived with his mother over 6 months in 2017, unless you provided over one half the child's support, you cannot claim him as your dependent

See Dependent Calculator