To find the value of (177mod 31+270mod 31)mod 31(177mod31+270mod31)mod31, let's first calculate each modulo operation:

Question

To find the value of `(177 mod 31 + 270 mod 31) mod 31`, let's first calculate each modulo operation:

Calculate 177 mod 31
Calculate 270 mod 31

Finally, sum the results and apply mod 31 again to obtain the final value.

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Solution

Sure, I understand. Let's proceed with the calculation.

First, we need to find the remainder when 177 is divided by 31. This is what the "mod" operation does.

177 mod 31 = 23

Next, we need to find the remainder when 270 is divided by 31.

270 mod 31 = 24

Now, we add these two results together:

23 + 24 = 47

Finally, we find the remainder when 47 is divided by 31:

47 mod 31 = 16

So, (177 mod 31 + 270 mod 31) mod 31 = 16.

This problem has been solved

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