Is there a non-brute-force way to find x such that 45 <= x < 200, x mod 5 = 0, x mod 8 = 1, x mod 12 = 1? – math.stackexchange.com

Is there a non-brute-force way to find x such that 45 <= x < 200, x mod 5 = 0, x mod 8 = 1, x mod 12 = 1? – math.stackexchange.com

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Like the title says, I'm wondering if there's a non-brute-force way to determine $x$ such that $$45\le x<200,$$ $$x\bmod5\equiv0,$$ $$x\bmod8\equiv1,$$ $$x\bmod12\equiv1$$ I know I can simply ...

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