
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
Given any \( x, y \in \mathbf{R} \), where \( y \neq 0 \), the remainder is defined as
$$
\operatorname{rem}(x, y) = x - y \left\lfloor\frac{x}{y}\right\rfloor,
$$
find the value of \( \operatorname{rem}\left(\frac{3}{8}, -\frac{2}{5}\right) \).

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