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\fracx^2y + \fracy^2z + \fracz^2x \geq 1 - 500apps

📅 March 13, 2026 👤 scraface

Mar 13, 2026

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🔥 Popular Posts

Let \( d = \gcd(p, q) \). Then \( p = dk \), \( q = dl \) with \(\gcd(...
dk + dl = 150 \implies d(k + l) = 150
To maximize \( d \), minimize \( k + l \). Since \(\gcd(k, l) = 1\), t...
d imes 2 = 150 \implies d = 75
Since 75 divides 150 and \( k + l = 2 \) satisfies coprimality, the la...
An entomologist is examining the cycles of a rare insect species, wher...
Since \( z \) is divisible by 7, 11, and 13, compute the least common...
ext{lcm}(7, 11, 13) = 7 imes 11 imes 13 = 1001
But 1001 is a four-digit number. The condition specifies a three-digit...
But note: the problem asks for the smallest three-digit number divisib...

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