
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
If \( N(t) = 100 \times 18^{t} \) and \( P = N(0) \), find \( P \).

A fox ate \( P \) grapes in 5 days, each day eating 6 more than on the previous day. If he ate \( Q \) grapes on the first day, find \( Q \).

If \( Q \% \) of \( \frac{25}{32} \) is \( \frac{1}{Q} \% \) of \( R \), find \( R \).

If one root of the equation \( 3 x^{2} - a x + R = 0 \) is \( \frac{50}{9} \) and the other root is \( S \), find \( S \).

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