﻿<?xml version="1.0" encoding="utf-8" standalone="yes"?>
<?application progid="SMath Studio Desktop" version="0.98.6179.21440"?>
<regions>
  <settings>
    <identity>
      <id>7bcc58fd-0f5b-4a0a-ac71-d696629d106e</id>
      <revision>19</revision>
    </identity>
    <calculation>
      <precision>4</precision>
      <exponentialThreshold>5</exponentialThreshold>
      <fractions>decimal</fractions>
    </calculation>
    <pageModel active="true" printAreas="true" simpleEqualsOnly="false" printBackgroundImages="true">
      <paper id="1" orientation="Portrait" width="850" height="1100" />
      <margins left="39" right="39" top="39" bottom="39" />
      <header alignment="Center" color="#a9a9a9">&amp;[DATE] &amp;[TIME] - &amp;[FILENAME]</header>
      <footer alignment="Center" color="#a9a9a9">&amp;[PAGENUM] / &amp;[COUNT]</footer>
      <backgrounds />
    </pageModel>
    <dependencies>
      <assembly name="SMath Studio Desktop" version="0.98.6179.21440" guid="a37cba83-b69c-4c71-9992-55ff666763bd" />
      <assembly name="Math Region" version="0.98.6179.21440" guid="02f1ab51-215b-466e-a74d-5d8b1cf85e8d" />
      <assembly name="Picture Region" version="1.10.6179.21444" guid="06b5df04-393e-4be7-9107-305196fcb861" />
      <assembly name="Custom Functions" version="1.1.6281.4594" guid="18dadffd-79a3-4cf9-aee1-d66deb0ea720" />
      <assembly name="Special Functions" version="1.11.6179.21442" guid="2814e667-4e12-48b1-8d51-194e480eabc5" />
      <assembly name="Maple Wrapper" version="1.0.6328.1700" guid="32dfd679-8cfd-483a-b79a-19d5ea838750" />
      <assembly name="Text Region" version="1.10.6179.21446" guid="485d28c5-349a-48b6-93be-12a35a1c1e39" />
    </dependencies>
    <mode debug="true" />
  </settings>
  <region id="0" left="18" top="18" width="592" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Explode/collect/solve inifinite length system {...</p>
    </text>
  </region>
  <region id="1" left="18" top="54" width="280" height="126" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">V</e>
        <e type="operand">list</e>
        <e type="function" args="2">Collect</e>
        <e type="operand" style="string">collect list</e>
        <e type="operand">ct</e>
        <e type="operand">1</e>
        <e type="operator" args="2">:</e>
        <e type="operand">i</e>
        <e type="operand">list</e>
        <e type="operand">a</e>
        <e type="operand">ct</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">V</e>
        <e type="operand">i</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="3">el</e>
        <e type="operator" args="2">:</e>
        <e type="operand">ct</e>
        <e type="operand">ct</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operator" args="2">:</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="4">line</e>
        <e type="function" preserve="true" args="3">for</e>
        <e type="operand">a</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="2" left="297" top="54" width="175" height="101" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">LGS</e>
        <e type="operand">x</e>
        <e type="operand">2</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operand">x</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">4</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">5</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">4</e>
        <e type="operator" args="2">+</e>
        <e type="operand">x</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">-</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">e</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="7">sys</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="3" left="486" top="54" width="265" height="68" color="#000000" bgColor="#ebebeb" fontSize="12">
    <text lang="eng">
      <p>Fabricate your own system [x,y,z,u,v,w ...]Triplet in demo.</p>
    </text>
  </region>
  <region id="4" left="486" top="126" width="110" height="27" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math optimize="2" decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>collect  xyz triplet</p>
      </description>
      <input>
        <e type="operand">list</e>
        <e type="operand">3</e>
        <e type="operand">4</e>
        <e type="operand">5</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="5" left="297" top="171" width="264" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>assign symbolic</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">LGS</e>
        <e type="operand">LGS</e>
        <e type="operand">list</e>
        <e type="function" args="2">Collect</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="6" left="297" top="207" width="243" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>recover the systemto be solved .</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">LGS</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">e</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="7" left="297" top="288" width="213" height="26" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>assign/isolate</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">LGS</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">LGS</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="8" left="270" top="324" width="193" height="24" color="#000000" bgColor="#ffff80" fontSize="10">
    <text lang="eng">
      <p>imported [x,y,z]system</p>
    </text>
  </region>
  <region id="9" left="468" top="324" width="33" height="35" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABkAAAAbCAYAAACJISRoAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACFSURBVEhL7ZZBDoAgDAT5hv//W7+BbSMJFCJbEU5tMisuJnMimDIwRPSsvg1LxLMTTVv+DWfi5wqcEzRtiRMSFyFxERIXxyQ1pW/RtCUOIpFrglf9BspIQHQp5V1GPqkKHyNJj6YtcY5KbN+iaUuckLiYCwRNW+Jsl7QH7o2Sk1n7g8z5BnNd9j/73D/OAAAAAElFTkSuQmCC</raw>
    </picture>
  </region>
  <region id="10" left="531" top="324" width="33" height="33" color="#000000" bgColor="#ffffff">
    <picture>
      <raw format="png" encoding="base64">iVBORw0KGgoAAAANSUhEUgAAABkAAAAZCAYAAADE6YVjAAAAAXNSR0IArs4c6QAAAARnQU1BAACxjwv8YQUAAAAJcEhZcwAADsMAAA7DAcdvqGQAAACASURBVEhL7dNBDoQgFANQruH97+Y1sFW/aSwuBGRhSHwdUiZ2ZcoZz8eQXvaG9FIl/LRA8k08PYs/tkB6qeaIQnqp5ohCeqnmiEIWSrYi+lrIQslWRF8LeRzWddldF7w5RVeD78TJL6jXCCG9pCEjNEfukF6GISP0nxHSj/S9lDdOQxboEuxS7AAAAABJRU5ErkJggg==</raw>
    </picture>
  </region>
  <region id="11" left="558" top="324" width="210" height="28" color="#000000" bgColor="#ffff80" fontSize="12">
    <text lang="eng">
      <p>imported user vector</p>
    </text>
  </region>
  <region id="12" left="18" top="360" width="260" height="133" border="true" color="#000000" bgColor="#ebebeb" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">system</e>
        <e type="operand">v</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="function" args="3">LGS</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M1</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="function" args="3">LGS</e>
        <e type="operand">v</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M2</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="operand">0</e>
        <e type="function" args="3">LGS</e>
        <e type="operand">v</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">M3</e>
        <e type="operand">0</e>
        <e type="operand">0</e>
        <e type="operand">1</e>
        <e type="function" args="3">LGS</e>
        <e type="operand">v</e>
        <e type="operator" args="2">-</e>
        <e type="operator" args="2">:</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">line</e>
        <e type="operand">u</e>
        <e type="operand">M1</e>
        <e type="operand">M2</e>
        <e type="operand">M3</e>
        <e type="function" preserve="true" args="3">augment</e>
        <e type="operator" args="2">:</e>
        <e type="operand">u</e>
        <e type="operand">v</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">4</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="6">line</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="13" left="324" top="360" width="264" height="92" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>watch 'U' invertible</p>
      </description>
      <input>
        <e type="operand">U</e>
        <e type="operand">V</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
        <e type="operand">system</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="none">
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operand">1</e>
        <e type="operand">3</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="11">mat</e>
        <e type="operand">4</e>
        <e type="operand">e</e>
        <e type="operator" args="1">-</e>
        <e type="operand">2</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="2">^</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">1</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="4">mat</e>
      </result>
    </math>
  </region>
  <region id="14" left="324" top="459" width="282" height="63" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <description active="true" position="Right" lang="eng">
        <p>Export Numeric</p>
      </description>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">U</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">V</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">2.70710678118654</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.640859085770477</e>
        <e type="operand">1.93375230458394</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="15" left="369" top="522" width="194" height="133" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>Export Symbolic</p>
      </description>
      <input>
        <e type="operand">U</e>
        <e type="operand">1</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operand">V</e>
        <e type="operator" args="2">*</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </input>
      <result action="symbolic">
        <e type="operand">2</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">nthroot</e>
        <e type="operand">3</e>
        <e type="operator" args="2">^</e>
        <e type="operand">1</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">/</e>
        <e type="operand">4</e>
        <e type="operator" args="1">-</e>
        <e type="operand">e</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">8</e>
        <e type="operator" args="1">-</e>
        <e type="operand">e</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="operator" args="2">/</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="16" left="324" top="666" width="273" height="90" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="0">
      <description active="false" position="Right" lang="eng">
        <p>What's that freak ??? </p>
      </description>
      <input>
        <e type="operand">sanity</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">LGS</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">5</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="1">-</e>
        <e type="operand">6</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">6</e>
        <e type="operand">10</e>
        <e type="operand">15</e>
        <e type="operator" args="1">-</e>
        <e type="operator" args="2">^</e>
        <e type="operator" args="2">*</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="17" left="18" top="765" width="717" height="31" color="#ff0000" bgColor="#ffffff" fontSize="14">
    <text lang="eng">
      <p bold="true">================== Implicit solve "roots" ===================</p>
    </text>
  </region>
  <region id="18" left="18" top="810" width="154" height="26" color="#000000" bgColor="#ffe1e1" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="3">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="19" left="18" top="837" width="409" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math decimalPlaces="15">
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" args="3">LGS</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="function" preserve="true" args="2">roots</e>
        <e type="bracket">(</e>
        <e type="operator" args="2">:</e>
      </input>
      <result action="numeric">
        <e type="operand">2.70710678118654</e>
        <e type="operator" args="1">-</e>
        <e type="operand">0.640859085770477</e>
        <e type="operand">1.93375230458394</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
      </result>
    </math>
  </region>
  <region id="20" left="18" top="1044" width="154" height="26" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="3">Clear</e>
      </input>
      <result action="numeric">
        <e type="operand">1</e>
      </result>
    </math>
  </region>
  <region id="21" left="207" top="1044" width="395" height="31" color="#000000" bgColor="#80ffff" fontSize="14">
    <text lang="eng">
      <p bold="true">Advanced infinite algebraic solve</p>
    </text>
  </region>
  <region id="22" left="18" top="1089" width="189" height="67" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <description active="true" position="Right" lang="eng">
        <p>user in-situ systemor imported system.</p>
      </description>
      <input>
        <e type="operand">system</e>
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">x</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">e</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="5">mat</e>
        <e type="operator" args="2">:</e>
      </input>
    </math>
  </region>
  <region id="23" left="18" top="1179" width="318" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="24" left="18" top="1215" width="379" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">z</e>
        <e type="operator" args="1">-</e>
        <e type="operand">3</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="25" left="18" top="1251" width="341" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">x</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">y</e>
        <e type="operator" args="1">-</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="26" left="18" top="1323" width="318" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operator" args="2">+</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="27" left="18" top="1359" width="351" height="43" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">z</e>
        <e type="operator" args="2">-</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">+</e>
        <e type="operand">3</e>
        <e type="operator" args="2">/</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
  <region id="28" left="18" top="1404" width="315" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">y</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">z</e>
        <e type="operator" args="2">+</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="29" left="18" top="1467" width="301" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">4</e>
        <e type="operand">x</e>
        <e type="operator" args="2">+</e>
        <e type="operand">y</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="30" left="18" top="1503" width="353" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">3</e>
        <e type="operand">y</e>
        <e type="operator" args="2">*</e>
        <e type="operator" args="2">+</e>
        <e type="operand">1</e>
        <e type="function" preserve="true" args="1">exp</e>
        <e type="operator" args="2">+</e>
      </result>
    </math>
  </region>
  <region id="31" left="18" top="1539" width="332" height="36" color="#000000" bgColor="#ffffff" fontSize="10">
    <math>
      <input>
        <e type="operand">system</e>
        <e type="operand">3</e>
        <e type="function" preserve="true" args="2">el</e>
        <e type="operand">0</e>
        <e type="operator" args="2">≡</e>
        <e type="operand">z</e>
        <e type="function" preserve="true" args="2">solve</e>
        <e type="function" preserve="true" args="1">maple</e>
      </input>
      <result action="symbolic">
        <e type="operand">x</e>
        <e type="operand">y</e>
        <e type="operator" args="2">-</e>
        <e type="operand">2</e>
        <e type="function" preserve="true" args="1">sqrt</e>
        <e type="operator" args="2">+</e>
        <e type="bracket">(</e>
        <e type="operator" args="1">-</e>
      </result>
    </math>
  </region>
</regions>