You are a helpful assistant.
system
Evaluate the expression (((8 - 4)^2 * 5) + (6 / 2)) - (3 * 7), and if the outcome surpasses 20, compute the factorial of that result; otherwise, determine the square root of the outcome to assess your savings effectively.
user
Let's evaluate the expression step by step:

1. Start with the innermost parentheses: \(8 - 4 = 4\).
2. Square the result: \(4^2 = 16\).
3. Multiply by 5: \(16 \times 5 = 80\).
4. Evaluate the division: \(6 / 2 = 3\).
5. Add the results from steps 3 and 4: \(80 + 3 = 83\).
6. Evaluate the multiplication: \(3 \times 7 = 21\).
7. Subtract the result from step 6 from step 5: \(83 - 21 = 62\).

The outcome of the expression is 62, which surpasses 20. Therefore, we need to compute the factorial of 62.

The factorial of 62, denoted as \(62!\), is a very large number. It is the product of all positive integers from 1 to 62. Calculating this manually is impractical without computational tools, but it is a well-defined mathematical operation.
assistant