
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
Vasya, Dima, Kolya, and Sergey, who study in the 5th, 6th, 7th, and 8th grades, decided to form a rock band. Among them, there is a saxophonist, a keyboardist, a drummer, and a guitarist. Vasya plays the saxophone and does not study in the 8th grade. The keyboardist studies in the 6th grade. The drummer is not named Dima, Sergey is not the keyboardist and does not study in the 5th grade. Dima does not study in the 6th grade, and the drummer does not study in the 8th grade. In which grade does Dima study and which instrument does he play?

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