
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
Evaluate $\text{rem}\left(-\frac{1}{3}, \frac{1}{4}\right)$ where the remainder function for real numbers $x$ and $y$ (with $y \neq 0$) is given by $\text{rem} (x, y) = x - y\left \lfloor \frac{x}{y} \right \rfloor$.

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