
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
Suppose that $h(x)$ and $k(x)$ are functions on $\mathbb{R}$ such that the range of $h$ is $[-3,5]$ and the range of $k$ is $[-1,4]$. The range of $h(x) \cdot k(x)$ is $[c,d]$. What is the largest possible value of $d$?

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