
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 concentration $M$ (mg/L) of a certain substance at time $t$ (min) is given by the function $M(t) = ar^t + 24$, where $a$ and $r$ are constants. At $t = 0$ min and $t = 1$ min, the concentrations of the substance were measured to be 124 mg/L and 64 mg/L, respectively. Find the concentration of the substance at $t = 4$ min and the smallest integer value of $t$ when the concentration is less than 24.001 mg/L. (Note: $\log_2 \approx 0.3010$)

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