
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
What will be the result if you expand and simplify the expression \((a+1)(a+3)(a+4)(a+5)(a+6)\)?

a) \(a^{5}+360\).

b) \(a^{5}+19a^{4}+137a^{3}+461a^{2}+702a+360\)

c) \(a^{5}+19a^{4}+138a^{3}+476a^{2}+776a+480\)

d) \(a^{4}+18a^{3}+119a^{2}+342a+360\)

e) \(a^{5}+18a^{4}+123a^{3}+402a^{2}+656a+480\)

Present the answer in LaTex format: \boxed{Your answer}
user