
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
Let $x$ be the weight of the jam in Jill's jar at the start. Jill gave $\frac{1}{6}$ of the jam to Jan, so she had $\frac{5}{6}x$ kg remaining. She then gave $\frac{1}{13}$ of the remaining jam to Jas, so she had $\frac{12}{13}\cdot \frac{5}{6}x = \frac{10}{13}x$ kg of jam left. This remaining amount is given to be 1 kg, so $\frac{10}{13}x=1$. Solve for $x$.

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