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It has to be a prime multiple of 7 >= 49. Simple trial and error rules out 7*7, 7*11, and 7*13. 7*17 = 119 works:

119 = 2*59 + 1

119 = 3*39 + 2

119 = 4*29 + 3

119 = 5*23 + 4

119 = 6*19 + 5

119 = 7*17

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Q: What number divided by 2 has a remainder 1 divided by 3 has a remainder 2 divided by 4 has a remainder 3 divided by 5 has a remainder 4 divided by 6 has a remainder 5 divided by 7 has 0 remainder?
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