document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=391576>Question 391576</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the smallest positive value for X such that 180X is a perfect cube?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #277884 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=277884\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180+=+2%5E2%2A3%5E2%2A5 ALIGN=MIDDLE  ALT=\"180+=+2%5E2%2A3%5E2%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  Hence for the smallest positive value of X that will make 180X a perfect cube is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2A3%2A5%5E2+=+150 ALIGN=MIDDLE  ALT=\"2%2A3%2A5%5E2+=+150\"   DISABLED_style= \"max-width:90%; height:auto;\" >.  As a check, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180X+=+%282%5E2%2A3%5E2%2A5%29%2A%282%2A3%2A5%5E2%29+=+2%5E3%2A3%5E3%2A5%5E3+=+%282%2A3%2A5%29%5E3+=+27000 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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