
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
Define two operations $\S$ and $\T$ as follows:
- $a \S b = 4a + 6b$
- $a \T b = 5a + 3b$
Calculate the values of $6 \S 3$ and $6 \T 3$.

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