
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
Let $T = (y-1)^5 + 5(y-1)^4 + 10(y-1)^3 + 10(y-1)^2 + 5(y-1) + 1$. Determine the expression for $T$.
A) $(y-2)^5$
B) $(y-1)^5$
C) $y^5$
D) $(y+1)^5$
E) $(y-2)^5 + 1$

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