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Home » What’s Hidden in Your Urine? Hyaline Casts Signal Serious Medical Conditions—Find Out Why! - Aurero

What’s Hidden in Your Urine? Hyaline Casts Signal Serious Medical Conditions—Find Out Why! - Aurero

📅 March 16, 2026 👤 scraface

Mar 16, 2026

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📌 252m + 108 \geq 1000 \Rightarrow 252m \geq 892 \Rightarrow m \geq \left\lceil \frac{892}{252} \right\rceil = 4

📌 For $m = 4$:

📌 n = 252 \cdot 4 + 108 = 1008 + 108 = 1116

📌 $1116 \div 36 = 31$, so divisible by 36

📌 $1116 \div 7 = 159$ remainder $3$, so satisfies the second condition

📌 Thus, the smallest such number is $\boxed{1116}$.

📌 Question: A weather model uses a sequence of temperature readings: $12345, 12347, 12349, 12351$. What is the remainder when the sum of these readings is divided by 13?

📌 We compute the sum of the given numbers:

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