evaluate the following summations.
Use the properties of sigma notation to
$1.$ $\sum _{i=1} ^{60}\left(5i-3\right)$
$2$ $\sum _{k=1} ^{32}\left(k-1\right)^{2}$
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$3$ $\sum n$ $i=1\left(1+2i\right)$
$4.$ $\sum _{k=1} ^{6}2k^{3}$
$5$ $\sum _{k=1} ^{15}k^{2}+\sum _{k=1} ^{5}\left(4k^{2}+3\right)$