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1+2!+3!+4!+5!
The factorial of 1 is 1.
1+2+3!+4!+5!
The factorial of 2 is 2.
3+3!+4!+5!
Add 1 and 2 to get 3.
3+6+4!+5!
The factorial of 3 is 6.
9+4!+5!
Add 3 and 6 to get 9.
9+24+5!
The factorial of 4 is 24.
33+5!
Add 9 and 24 to get 33.
33+120
The factorial of 5 is 120.
153
Add 33 and 120 to get 153.