ma + th = math?

How many ordered quadruples of positive integer solutions are there to the equation MA+TH=MATH? MA + TH = MATH \, ?

Clarification:

  • The above is 1 equation in 4 variables: (M×A)+(T×H)=M×A×T×H.(M\times A)+(T\times H)=M\times A\times T\times H.
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