
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
Marta and Carmem each received several candies. They mixed all the candies together and now do not remember how many candies each of them received. We know that:

(a) Together, they received 200 candies.

(b) Marta remembers that she received fewer than 100 candies, but more than $\frac{4}{5}$ of what Carmem received.

(c) The number of candies each received is a multiple of 8.

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