
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
Suppose $(3x-2)^6 = a_0 + a_1(2x-1) + a_2(2x-1)^2 + a_3(2x-1)^3 + a_4(2x-1)^4 + a_5(2x-1)^5 + a_6(2x-1)^6$, find the value of $a_1 + a_3 + a_5$.

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