# EqualComAss: Answer test results

This page exposes the results of running answer tests on STACK test cases.  This page is automatically generated from the STACK unit tests and is designed to show question authors what answer tests actually do.  This includes cases where answer tests currentl fail, which gives a negative expected mark.  Comments and further test cases are very welcome.



<h2>EqualComAss</h2><div class="no-overflow"><table class="flexible table table-striped table-hover generaltable generalbox stacktestsuite"><thead><tr><th class="header c0" scope="col">Test<div class="commands"></div></th><th class="header c1" scope="col">?<div class="commands"></div></th><th class="header c2" scope="col">Student response<div class="commands"></div></th><th class="header c3" scope="col">Teacher answer<div class="commands"></div></th><th class="header c4" scope="col">Opt<div class="commands"></div></th><th class="header c5" scope="col">Mark<div class="commands"></div></th><th class="header c6" scope="col">Answer note<div class="commands"></div></th>
</tr></thead><tbody>
<tr class="expectedfail">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:orange;"><i class="fa fa-adjust"></i></span></td>
  <td class="cell c2"><pre>1/0</pre></td>
  <td class="cell c3"><pre>0</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">-1</td>
  <td class="cell c6">ATEqualComAss_STACKERROR_SAns.</td>
</tr>
<tr class="expectedfail">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:orange;"><i class="fa fa-adjust"></i></span></td>
  <td class="cell c2"><pre>0</pre></td>
  <td class="cell c3"><pre>1/0</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">-1</td>
  <td class="cell c6">ATEqualComAss_STACKERROR_TAns.</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Numbers</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>2/4</pre></td>
  <td class="cell c3"><pre>1/2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>3^2</pre></td>
  <td class="cell c3"><pre>8</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>3^2</pre></td>
  <td class="cell c3"><pre>9</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>cos(0)</pre></td>
  <td class="cell c3"><pre>1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>4^(1/2)</pre></td>
  <td class="cell c3"><pre>2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/3^(1/2)</pre></td>
  <td class="cell c3"><pre>(1/3)^(1/2)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>sqrt(3)/3</pre></td>
  <td class="cell c3"><pre>(1/3)^(1/2)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>sqrt(3)</pre></td>
  <td class="cell c3"><pre>3^(1/2)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>2*sqrt(2)</pre></td>
  <td class="cell c3"><pre>sqrt(8)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>2*2^(1/2)</pre></td>
  <td class="cell c3"><pre>sqrt(8)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>sqrt(2)/4</pre></td>
  <td class="cell c3"><pre>1/sqrt(8)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/sqrt(2)</pre></td>
  <td class="cell c3"><pre>2^(1/2)/2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>4.0</pre></td>
  <td class="cell c3"><pre>4</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Case sensitivity</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>X</pre></td>
  <td class="cell c3"><pre>x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false)ATAlgEquiv_WrongCase.</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/(R-r)</pre></td>
  <td class="cell c3"><pre>1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>exdowncase(X)</pre></td>
  <td class="cell c3"><pre>x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>exdowncase((X-1)^2)</pre></td>
  <td class="cell c3"><pre>x^2-2*x+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>exdowncase(X^2-2*X+1)</pre></td>
  <td class="cell c3"><pre>x^2-2*x+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Powers</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>a^2/b^3</pre></td>
  <td class="cell c3"><pre>a^2*b^(-3)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lg(a^x,a)</pre></td>
  <td class="cell c3"><pre>x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x^(2/4)</pre></td>
  <td class="cell c3"><pre>x^(1/2)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Simple polynomials</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1+2*x</pre></td>
  <td class="cell c3"><pre>x*2+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1+x</pre></td>
  <td class="cell c3"><pre>2*x+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1+x+x</pre></td>
  <td class="cell c3"><pre>2*x+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(x+y)+z</pre></td>
  <td class="cell c3"><pre>z+x+y</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x*x</pre></td>
  <td class="cell c3"><pre>x^2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(x+5)*x</pre></td>
  <td class="cell c3"><pre>x*(5+x)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x*(x+5)</pre></td>
  <td class="cell c3"><pre>5*x+x^2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(1-x)^2</pre></td>
  <td class="cell c3"><pre>(x-1)^2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(a-x)^6000</pre></td>
  <td class="cell c3"><pre>(x-a)^6000</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Expressions with subscripts</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rho*z*V/(4*pi*epsilon[0]*(R^2+
z^2)^(3/2))</pre></td>
  <td class="cell c3"><pre>rho*z*V/(4*pi*epsilon[0]*(R^2+
z^2)^(3/2))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rho*z*V/(4*pi*epsilon[1]*(R^2+
z^2)^(3/2))</pre></td>
  <td class="cell c3"><pre>rho*z*V/(4*pi*epsilon[0]*(R^2+
z^2)^(3/2))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Unary plus</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>+1-2</pre></td>
  <td class="cell c3"><pre>1-2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Unary minus</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-1+2</pre></td>
  <td class="cell c3"><pre>2-1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-1*2+3*4</pre></td>
  <td class="cell c3"><pre>3*4-1*2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(-1*2)+3*4</pre></td>
  <td class="cell c3"><pre>10</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-1*2+3*4</pre></td>
  <td class="cell c3"><pre>3*4-1*2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x*(-y)</pre></td>
  <td class="cell c3"><pre>-x*y</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x*(-y)</pre></td>
  <td class="cell c3"><pre>-(x*y)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(-x)*(-x)</pre></td>
  <td class="cell c3"><pre>x*x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(-x)*(-x)</pre></td>
  <td class="cell c3"><pre>x^2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-1/4*%pi*i</pre></td>
  <td class="cell c3"><pre>-(%i*%pi)/4</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Rational expressions</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/2</pre></td>
  <td class="cell c3"><pre>3/6</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/(1+2*x)</pre></td>
  <td class="cell c3"><pre>1/(2*x+1)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>2/(4+2*x)</pre></td>
  <td class="cell c3"><pre>1/(x+2)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(a*b)/c</pre></td>
  <td class="cell c3"><pre>a*(b/c)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>((x+1)/(x*(x-1)))*(x-1)</pre></td>
  <td class="cell c3"><pre>((x+1)*(x-1))/(x*(x-1))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(-x)/y</pre></td>
  <td class="cell c3"><pre>-(x/y)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x/(-y)</pre></td>
  <td class="cell c3"><pre>-(x/y)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-1/(1-x)</pre></td>
  <td class="cell c3"><pre>1/(x-1)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/2*1/x</pre></td>
  <td class="cell c3"><pre>1/(2*x)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(k+8)/(k^2+4*k-12)</pre></td>
  <td class="cell c3"><pre>(k+8)/(k^2+4*k-12)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(k+8)/(k^2+4*k-12)</pre></td>
  <td class="cell c3"><pre>(k+8)/((k-2)*(k+6))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(k+7)/(k^2+4*k-12)</pre></td>
  <td class="cell c3"><pre>(k+8)/(k^2+4*k-12)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-(2*k+6)/(k^2+4*k-12)</pre></td>
  <td class="cell c3"><pre>-(2*k+6)/(k^2+4*k-12)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(a+b)/1</pre></td>
  <td class="cell c3"><pre>(b+a)/1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">No simplicifcation here</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1*x</pre></td>
  <td class="cell c3"><pre>x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>23+0*x</pre></td>
  <td class="cell c3"><pre>23</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x+0</pre></td>
  <td class="cell c3"><pre>x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x^1</pre></td>
  <td class="cell c3"><pre>x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(1/2)*(a+b)</pre></td>
  <td class="cell c3"><pre>(a+b)/2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/3*logbase(27,6)</pre></td>
  <td class="cell c3"><pre>logbase(27,6)/3</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/3*lg(27,6)</pre></td>
  <td class="cell c3"><pre>lg(27,6)/3</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lg(root(x, n))</pre></td>
  <td class="cell c3"><pre>lg(x, 10)/n</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>exp(x)</pre></td>
  <td class="cell c3"><pre>%e^x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>exp(x)^2</pre></td>
  <td class="cell c3"><pre>%e^(2*x)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>exp(x)^2</pre></td>
  <td class="cell c3"><pre>(%e^(x))^2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1/3*i</pre></td>
  <td class="cell c3"><pre>i/3</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Complex numbers</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>%i</pre></td>
  <td class="cell c3"><pre>e^(i*pi/2)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(4*sqrt(3)*%i+4)^(1/5)</pre></td>
  <td class="cell c3"><pre>rectform((4*sqrt(3)*%i+4)^(1/5
))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(4*sqrt(3)*%i+4)^(1/5)</pre></td>
  <td class="cell c3"><pre>8^(1/5)*(cos(%pi/15)+%i*sin(%p
i/15))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(4*sqrt(3)*%i+4)^(1/5)</pre></td>
  <td class="cell c3"><pre>polarform((4*sqrt(3)*%i+4)^(1/
5))</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Equations</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>y=x</pre></td>
  <td class="cell c3"><pre>x=y</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x+1</pre></td>
  <td class="cell c3"><pre>y=2*x+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss ATAlgEquiv_SA_not_equation.</td>
</tr>
<tr class="pass">
  <td class="cell c0"><td colspan="2"></td></td>
  <td class="cell c1"><td colspan="4">Your answer should be an equation, but is not.</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>y=1+2*x</pre></td>
  <td class="cell c3"><pre>y=2*x+1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>y=x+x+1</pre></td>
  <td class="cell c3"><pre>y=1+2*x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Logic</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>A and B</pre></td>
  <td class="cell c3"><pre>B and A</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>A or B</pre></td>
  <td class="cell c3"><pre>B or A</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>A or B</pre></td>
  <td class="cell c3"><pre>B and A</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>not(true)</pre></td>
  <td class="cell c3"><pre>false</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Sets</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{2*x+1,2}</pre></td>
  <td class="cell c3"><pre>{2, 1+x*2}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>2</pre></td>
  <td class="cell c3"><pre>{2}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss ATAlgEquiv_SA_not_set.</td>
</tr>
<tr class="pass">
  <td class="cell c0"><td colspan="2"></td></td>
  <td class="cell c1"><td colspan="4">Your answer should be a set, but is not. Note that the syntax to enter a set is to enclose the comma separated values with curly brackets.</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{2*x+1, 1+1}</pre></td>
  <td class="cell c3"><pre>{2, 1+x*2}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{1,2}</pre></td>
  <td class="cell c3"><pre>{1,{2}}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false)ATSet_wrongentries.</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{4,3}</pre></td>
  <td class="cell c3"><pre>{3,4}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{4,4}</pre></td>
  <td class="cell c3"><pre>{4}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{-1,1,-1}</pre></td>
  <td class="cell c3"><pre>{-1,-1,1}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>{-1,1,-1}</pre></td>
  <td class="cell c3"><pre>{-1,1}</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Lists</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>[2*x+1,2]</pre></td>
  <td class="cell c3"><pre>[1+x*2,2]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>[x+x+1, 1+1]</pre></td>
  <td class="cell c3"><pre>[1+x*2,2]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Matrices</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>matrix([1,2],[2,3])</pre></td>
  <td class="cell c3"><pre>matrix([1,2],[2,3])</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>matrix([1,2],[2,3])</pre></td>
  <td class="cell c3"><pre>matrix([1,2,3],[2,3,3])</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false)ATMatrix_wrongsz_columns.</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>matrix([1,2],[2,3])</pre></td>
  <td class="cell c3"><pre>matrix([1,2],[2,5])</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false)ATMatrix_wrongentries.</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>matrix([1,2],[2,2+1])</pre></td>
  <td class="cell c3"><pre>matrix([1,2],[2,3])</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>matrix([x+x, 1],[1, 1])</pre></td>
  <td class="cell c3"><pre>matrix([2*x, 1],[1, 1])</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Sums and products</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>sum(k^n,n,0,3)</pre></td>
  <td class="cell c3"><pre>sum(k^n,n,0,3)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1+k+k^2+k^3</pre></td>
  <td class="cell c3"><pre>sum(k^n,n,0,3)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>sum(k,k,0,1+n)</pre></td>
  <td class="cell c3"><pre>sum(k,k,0,n+1)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>(n+1)*(n+2)/2</pre></td>
  <td class="cell c3"><pre>sum(k,k,0,n+1)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>product(cos(k*x),k,1,3)</pre></td>
  <td class="cell c3"><pre>product(cos(k*x),k,1,3)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>cos(x)*cos(2*x)*cos(3*x)</pre></td>
  <td class="cell c3"><pre>product(cos(k*x),k,1,3)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Inequalities are not commutative under this test</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>-6/5 &gt; x</pre></td>
  <td class="cell c3"><pre>x &lt; -6/5</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>x&lt;1 and -3&lt;x</pre></td>
  <td class="cell c3"><pre>-3&lt;x and x&lt;1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1&gt;x and -3&lt;x</pre></td>
  <td class="cell c3"><pre>-3&lt;x and x&lt;1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>make_less_ineq(-6/5 &gt; x)</pre></td>
  <td class="cell c3"><pre>x &lt; -6/5</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>make_less_ineq(1&gt;x and -3&l
t;x)</pre></td>
  <td class="cell c3"><pre>-3&lt;x and x&lt;1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>make_less_ineq(6/3 &gt; x)</pre></td>
  <td class="cell c3"><pre>x &lt; 2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Unary Equations</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>1</pre></td>
  <td class="cell c3"><pre>stackeq(1)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>stackeq(1)</pre></td>
  <td class="cell c3"><pre>1</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>stackeq(1+1)</pre></td>
  <td class="cell c3"><pre>2</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>stackeq(1)</pre></td>
  <td class="cell c3"><pre>0</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lowesttermsp(1/3)</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lowesttermsp(2/6)</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lowesttermsp(x^2/x)</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lowesttermsp(-y/-x)</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lowesttermsp((x^2-1)/(x-1))</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-false).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>lowesttermsp((x^2-1)/(x+2))</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Bad things in denominators</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1+sqrt(3)/3)</pre></td>
  <td class="cell c3"><pre>true</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1+1/sqrt(3))</pre></td>
  <td class="cell c3"><pre>[sqrt(3)]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1/sqrt(3))</pre></td>
  <td class="cell c3"><pre>[sqrt(3)]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1/sqrt(2)+i/sqrt(
2))</pre></td>
  <td class="cell c3"><pre>[sqrt(2),sqrt(2)]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(sqrt(2)/2+1/sqrt(
3))</pre></td>
  <td class="cell c3"><pre>[sqrt(3)]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1/sqrt(2)+1/sqrt(
3))</pre></td>
  <td class="cell c3"><pre>[sqrt(2),sqrt(3)]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1/(1+i))</pre></td>
  <td class="cell c3"><pre>[i]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>rationalized(1/(1+1/root(3,2))
)</pre></td>
  <td class="cell c3"><pre>[root(3,2)]</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Logic</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>B nounand A</pre></td>
  <td class="cell c3"><pre>A nounand B</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>A nounand A</pre></td>
  <td class="cell c3"><pre>A</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss ATAlgEquiv_SA_not_expression.</td>
</tr>
<tr class="pass">
  <td class="cell c0"><td colspan="2"></td></td>
  <td class="cell c1"><td colspan="4">Your answer should be an expression, not an equation, inequality, list, set or matrix.</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>subst([&quot;*&quot;=&quot;nou
nand&quot;, &quot;+&quot;=&quo
t;nounor&quot;,&quot;!&quot;=&
quot;nounnot&quot;], A*B)</pre></td>
  <td class="cell c3"><pre>A nounand B</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="notes">
  <td class="cell c0"><td colspan="6">Differential Equations</td></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>diff(y,x)</pre></td>
  <td class="cell c3"><pre>0</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>diff(x^2,x)</pre></td>
  <td class="cell c3"><pre>2*x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>noundiff(x^2,x)</pre></td>
  <td class="cell c3"><pre>2*x</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>diff(y,x)</pre></td>
  <td class="cell c3"><pre>&#039;diff(y,x)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>noundiff(y,x)</pre></td>
  <td class="cell c3"><pre>&#039;diff(y,x)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>&#039;diff(y(x),x)</pre></td>
  <td class="cell c3"><pre>&#039;diff(y(x),x,1)</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">1</td>
  <td class="cell c6"></td>
</tr>
<tr class="pass">
  <td class="cell c0">EqualComAss</td>
  <td class="cell c1"><span style="color:green;"><i class="fa fa-check"></i></span></td>
  <td class="cell c2"><pre>noundiff(y(x),x)=-x/4</pre></td>
  <td class="cell c3"><pre>4*noundiff(y(x),x)+x=0</pre></td>
  <td class="cell c4"></td>
  <td class="cell c5">0</td>
  <td class="cell c6">ATEqualComAss (AlgEquiv-true).</td>
</tr></tbody></table></div>