Let's verify the given expression:

$(9(-4) - 1)(6(-4)^2 - (-4) + 5)$

Step 1: Simplify the first part of the expression

$9(-4) = -36$ $-36 - 1 = -37$

So the first part becomes: $-37$

Step 2: Simplify the second part of the expression

$(-4)^2 = 16$ $6(16) = 96$ $96 - (-4) + 5 = 96 + 4 + 5 = 105$

Step 3: Multiply the two simplified parts

$(-37)(105) = -3885$

Thus, the result of the expression is: $-3885$

Would you like more details or have any questions?

Here are 5 questions that relate to this verification:

1. How would you simplify more complex expressions involving negative exponents?
2. Can you explain why $(-4)^2$ is positive?
3. What is the distributive property and how could it help in similar problems?
4. How do parentheses affect order of operations in expressions like this one?
5. How would you approach this if fractional numbers were involved instead of integers?

Tip: Always handle parentheses and exponents first to avoid mistakes when simplifying expressions.