If p+q+r = 1 and pq+qr+pr = -1, and pqr = -1, find the value of <img src="https://tex.z-dn.net/?f=%20p%5E%7B3%7D%2B%20q%5E%7B3%7D%2B%20r%5E%7B3%7D%20%20%20" id="TexFormula1" title=" p^{3}+ q^{3}+ r^{3} " alt=" p^{3}+ q^{3}+ r^{3} " align="absmiddle" class="latex-formula">
Mathematics
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