
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
Samson's utility is now calculated as the product of the square of the hours of math done and the hours of frisbee played. On Monday, he plays $t$ hours of frisbee and spends $10 - 2t$ hours doing math. On Tuesday, he achieves the same utility while spending $3-t$ hours playing frisbee and $2t+4$ hours on math. Find $t$.

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