
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
The schoolchildren helped the farmers to harvest vegetables. The fourth grade collected 18 centners of cabbage and as many carrots as the sixth grade collected onions. The fifth grade worked only on harvesting cucumbers and collected a whole number of centners, which was less than the cucumbers collected by the sixth grade, but more than the carrots collected by the fourth grade. The sixth grade collected 7 centners of onions, and cucumbers - half as much as the cabbage collected by the fourth grade. How many centners of vegetables did the schoolchildren collect in total?

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