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Home » \mathbfv \cdot \beginpmatrix 3 \\ -4 \endpmatrix = 3a - 4 - Dachbleche24

\mathbfv \cdot \beginpmatrix 3 \\ -4 \endpmatrix = 3a - 4 - Dachbleche24

📅 March 9, 2026 👤 scraface

Mar 09, 2026

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n^2 = 100k^2 + 120k + 36 \equiv 20k + 36 \pmod{100}
Set \( 20k + 36 \equiv 76 \pmod{100} \):
20k \equiv 40 \pmod{100} \implies k \equiv 2 \pmod{5}
So \( k = 5m + 2 \), \( n = 10(5m + 2) + 6 = 50m + 26 \). Smallest \(...
Between 24 and 26, the smaller is 24. Therefore, the smallest positive...
Question:** What is the remainder when the sum \( 1^3 + 2^3 + 3^3 + \d...
For \( n = 12 \):
\sum_{k=1}^{12} k^3 = \left( \frac{12 \cdot 13}{2} \right)^2 = (78)^2...
Now compute \( 6084 \mod 9 \). Use digit sum or direct division:
Sum of digits of 6084: \( 6 + 0 + 8 + 4 = 18 \), and \( 18 \equiv 0 \p...

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