document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=6497>Question 6497</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Here is the question:<BR>\n" );
document.write( "2v(3v2-1) - (6-8v3+14v)+3\r<BR>\n" );
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document.write( "here is my attempt:<BR>\n" );
document.write( "6v3-2v - 6+6v2+3<BR>\n" );
document.write( "4v2-3=6v2\r<BR>\n" );
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document.write( "What is the rule with exponents ?\r<BR>\n" );
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document.write( "~Tabitha </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #3507 by </B><A HREF=/tutors/aboutme.mpl?userid=ichudov><B>ichudov(507)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ichudov><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=ichudov><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=3507\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> you are trying to get to an equation, but you started off with what is NOT an equation. Maybe you mistyped your question. Let me use my simplifier to simplify your expression\r<BR>\n" );
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document.write( " <TR><TD  ALIGN=MIDDLE>Solved by <A  rel=nofollow HREF=http://wiki.algebra.com/index.php/Tutoring_-_pluggable_solvers>pluggable</A> solver: <A  rel=nofollow HREF=explain_simplification.solver>EXPLAIN simplification of an expression</A></TD></TR>\n" );
document.write( "<TR><TD  ALIGN=LEFT><B>Your Result</B>: <BR><BR>\n" );
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document.write( "  YOUR ANSWER\n" );
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document.write( "<TABLE BORDER=2 WIDTH=100%><TR><TD> <UL  DISABLED_style= \"line-height: 30px; \">\n" );
document.write( "<LI><B>Graphical form</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3 ALIGN=MIDDLE  ALT=\"2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" > simplifies to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29-16%2Av%2B8%2Av%5E3-3 ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29-16%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ></LI><LI><B>Text form</B>: 2v*(3v^2-1)-(6-8v^3+14v)+3 simplifies to 6*v^(3)-16*v+8*v^3-3</LI><LI><B>Cartoon (animation) form</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=simplify_cartoon%28+2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3+%29 ALIGN=MIDDLE  ALT=\"simplify_cartoon%28+2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR> For tutors: <CODE>simplify_cartoon( 2v*(3v^2-1)-(6-8v^3+14v)+3 )</CODE></LI>\n" );
document.write( "<LI>If you have a website, here's a <A rel=nofollow  rel=nofollow HREF=/services/rendering/simplifier.mpl?expression=2v%2A%283v%5E2-1%29-%286-8v%5E3%2B14v%29%2B3>link</A> to this solution. </LI>\n" );
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document.write( "<H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">DETAILED EXPLANATION</H3>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29-highlight_red%28+%286-8%2Av%5E3%2B14%2Av%29+%29%2B3 ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29-highlight_red%28+%286-8%2Av%5E3%2B14%2Av%29+%29%2B3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Remove unneeded parentheses around terms <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+-6+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+-6+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+8%2Av%5E3+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+8%2Av%5E3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+-14%2Av+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+-14%2Av+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29-highlight_green%28+6+%29%2Bhighlight_green%28+8%2Av%5E3+%29-highlight_green%28+14%2Av+%29%2B3& border=1  ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29-highlight_red%28+6+%29%2B8%2Av%5E3-14%2Av%2Bhighlight_red%28+3+%29 ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29-highlight_red%28+6+%29%2B8%2Av%5E3-14%2Av%2Bhighlight_red%28+3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29%2Bhighlight_green%28+-3+%29%2B8%2Av%5E3-14%2Av& border=1  ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29%2Bhighlight_green%28+-3+%29%2B8%2Av%5E3-14%2Av\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29%2Bhighlight_red%28+-3+%29%2B8%2Av%5E3-14%2Av ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29%2Bhighlight_red%28+-3+%29%2B8%2Av%5E3-14%2Av\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Moved <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" > to the right of expression <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av%2Bhighlight_green%28+-3+%29& border=1  ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av%2Bhighlight_green%28+-3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av%2Bhighlight_red%28+-3+%29 ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av%2Bhighlight_red%28+-3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Removed extra sign in front of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-3 ALIGN=MIDDLE  ALT=\"-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av-highlight_green%28+3+%29& border=1  ALIGN=MIDDLE  ALT=\"2%2Av%2A%283%2Av%5E2-1%29%2B8%2Av%5E3-14%2Av-highlight_green%28+3+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+2%2Av%2A%283%2Av%5E2-1%29+%29%2B8%2Av%5E3-14%2Av-3 ALIGN=MIDDLE  ALT=\"highlight_red%28+2%2Av%2A%283%2Av%5E2-1%29+%29%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Expanded term <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Av ALIGN=MIDDLE  ALT=\"2%2Av\"   DISABLED_style= \"max-width:90%; height:auto;\" > by using <A  rel=nofollow HREF=/algebra/homework/Distributive-associative-commutative-properties/>associative property</A> on <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%283%2Av%5E2-1%29 ALIGN=MIDDLE  ALT=\"%283%2Av%5E2-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+2%2Av%2A3%2Av%5E2+%29-highlight_green%28+2%2Av%2A1+%29%2B8%2Av%5E3-14%2Av-3& border=1  ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+2+%29%2Av%2Ahighlight_red%28+3+%29%2Av%5E2-2%2Av%2A1%2B8%2Av%5E3-14%2Av-3 ALIGN=MIDDLE  ALT=\"highlight_red%28+2+%29%2Av%2Ahighlight_red%28+3+%29%2Av%5E2-2%2Av%2A1%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Multiplied numerator integers <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+6+%29%2Av%2Av%5E2-2%2Av%2A1%2B8%2Av%5E3-14%2Av-3& border=1  ALIGN=MIDDLE  ALT=\"highlight_green%28+6+%29%2Av%2Av%5E2-2%2Av%2A1%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%2Av%5E2-highlight_red%28+2+%29%2Av%2Ahighlight_red%28+1+%29%2B8%2Av%5E3-14%2Av-3 ALIGN=MIDDLE  ALT=\"6%2Av%2Av%5E2-highlight_red%28+2+%29%2Av%2Ahighlight_red%28+1+%29%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Multiplied numerator integers <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%2Av%5E2-highlight_green%28+2+%29%2Av%2B8%2Av%5E3-14%2Av-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Av%2Av%5E2-highlight_green%28+2+%29%2Av%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ahighlight_red%28+v+%29%2Ahighlight_red%28+v%5E2+%29-2%2Av%2B8%2Av%5E3-14%2Av-3 ALIGN=MIDDLE  ALT=\"6%2Ahighlight_red%28+v+%29%2Ahighlight_red%28+v%5E2+%29-2%2Av%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Reduce similar several occurrences of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+v+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+v+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+v%5E%281%2B2%29+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+v%5E%281%2B2%29+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Ahighlight_green%28+v%5E%281%2B2%29+%29-2%2Av%2B8%2Av%5E3-14%2Av-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Ahighlight_green%28+v%5E%281%2B2%29+%29-2%2Av%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29-2%2Av%2B8%2Av%5E3-14%2Av-3 ALIGN=MIDDLE  ALT=\"6%2Av%5E%28highlight_red%28+1+%29%2Bhighlight_red%28+2+%29%29-2%2Av%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%28highlight_green%28+3+%29%29-2%2Av%2B8%2Av%5E3-14%2Av-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Av%5E%28highlight_green%28+3+%29%29-2%2Av%2B8%2Av%5E3-14%2Av-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29-highlight_red%28+2%2Av+%29%2B8%2Av%5E3-highlight_red%28+14%2Av+%29-3 ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29-highlight_red%28+2%2Av+%29%2B8%2Av%5E3-highlight_red%28+14%2Av+%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Eliminated <A  rel=nofollow HREF=/algebra/homework/expressions/>similar terms</A> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+-2%2Av+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+-2%2Av+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+-14%2Av+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+-14%2Av+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  replacing them with  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28+%28-2-14%29%2Av+%29 ALIGN=MIDDLE  ALT=\"highlight_green%28+%28-2-14%29%2Av+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29%2Bhighlight_green%28+%28-2-14%29%2Av+%29%2B8%2Av%5E3-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29%2Bhighlight_green%28+%28-2-14%29%2Av+%29%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29%2B%28-highlight_red%28+2+%29-highlight_red%28+14+%29%29%2Av%2B8%2Av%5E3-3 ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29%2B%28-highlight_red%28+2+%29-highlight_red%28+14+%29%29%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Added fractions or integers together <BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29%2B%28highlight_green%28+-16+%29%29%2Av%2B8%2Av%5E3-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29%2B%28highlight_green%28+-16+%29%29%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29%2B%28highlight_red%28+-16+%29%29%2Av%2B8%2Av%5E3-3 ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29%2B%28highlight_red%28+-16+%29%29%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Removed extra sign in front of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-16 ALIGN=MIDDLE  ALT=\"-16\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29%2B%28-highlight_green%28+16+%29%29%2Av%2B8%2Av%5E3-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29%2B%28-highlight_green%28+16+%29%29%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR>\n" );
document.write( "<HR width=50% align=left>Look at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29%2Bhighlight_red%28+%28-highlight_red%28+16+%29%29%2Av+%29%2B8%2Av%5E3-3 ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29%2Bhighlight_red%28+%28-highlight_red%28+16+%29%29%2Av+%29%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR> Remove unneeded parentheses around factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_red%28+16+%29 ALIGN=MIDDLE  ALT=\"highlight_red%28+16+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>It becomes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29-highlight_green%28+16+%29%2Av%2B8%2Av%5E3-3& border=1  ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29-highlight_green%28+16+%29%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<BR><B>Result</B>: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=6%2Av%5E%283%29-16%2Av%2B8%2Av%5E3-3& border=2 ALIGN=MIDDLE  ALT=\"6%2Av%5E%283%29-16%2Av%2B8%2Av%5E3-3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<BR><H3  DISABLED_style= \"background-color: #88ccDD; font-weight: bold; margin-top: 0px; margin-bottom: 3px; text-align: center; padding: 2px;\">Universal Simplifier and Solver</H3>\n" );
document.write( "<BR>Done!<BR></TD></TR></TABLE>\n" );
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