
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
Leila enjoys juggling and coding in a day. We can model her utility as $$\text{Utility} = \text{hours of juggling} \times \text{hours of coding}.$$ Leila juggles for $s$ hours and codes for $12 - s$ hours on Wednesday. On Thursday, to keep herself engaged, she juggles for $6-s$ hours and codes for $s+4$ hours. If her utility remains the same on both days, determine the value of $s$.

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