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Modular Arithmetichard
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Find the smallest positive integer xxx such that x≡1(mod3),x≡2(mod4),x≡3(mod5)x \equiv 1 \pmod 3, x \equiv 2 \pmod 4, x \equiv 3 \pmod 5x≡1(mod3),x≡2(mod4),x≡3(mod5).