
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
We have two types of screws. The combined weight of 3 smaller screws and 2 larger screws is found to be 319 grams using a scale accurate to the nearest gram. When one smaller screw is replaced by a larger one, the scale shows 351 grams. What is the (average) weight of each screw and what is the accuracy of the results?

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