Докажите, что
[tex] \frac{n {}^{5} }{120} + \frac{n {}^{4} }{12} + \frac{7n {}^{3} }{24} + \frac{5n {}^{2} }{12} + \frac{n}{5} [/tex]

при любом целом n есть число

целое.
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