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Home » Attention 601 residents! This Area Code Shapes Your Cell Signal Like Nothing Else! - ToelettAPP

Attention 601 residents! This Area Code Shapes Your Cell Signal Like Nothing Else! - ToelettAPP

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 We seek the smallest four-digit value of $n$:

📌 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?

🔥 Popular Posts

a = \frac{x + 2}{x - 2}, \quad \frac{x - 2}{x + 2} = \frac{1}{a}.
The equation becomes:
a + \frac{1}{a} = 2.
Multiply both sides by \( a \):
a^2 + 1 = 2a \quad \Rightarrow \quad a^2 - 2a + 1 = 0 \quad \Rightarro...
So, \( a = 1 \). Thus:
\frac{x + 2}{x - 2} = 1 \quad \Rightarrow \quad x + 2 = x - 2,
which simplifies to \( 2 = -2 \), a contradiction. This implies no sol...
But solving directly from the original:
Multiply both sides by \( (x - 2)(x + 2) = x^2 - 4 \):

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