
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
Find five real numbers \( p, q, r, s, t \) that satisfy the equations \( p+q+r+s+t = 3 \), \( pq+pr+ps+pt+qr+qs+qt+rs+rt+st = -8 \), and \( pqrst = -21 \). What is the largest of these numbers?

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