.mq .comma-op-root{display:block;clear:both;border:1px solid red;padding:1px}.mq,.mq table,.rendered-math,.rendered-math .mmm-e,.rendered-math table,.rendered-math td{font-family:mathfontbasic,"Times New Roman",serif!important;text-indent:0!important;text-rendering:geometricPrecision;-webkit-font-smoothing:antialiased;-moz-osx-font-smoothing:grayscale}.rendered-math .non-italicized-function,.rendered-math .nonSymbola{font-family:"Times New Roman",serif}.mq .number,.mq table .number,.mq table var,.mq var,.rendered-math .number,.rendered-math table .number,.rendered-math table var,.rendered-math var{font-family:mathnumbers,"Times New Roman",serif!important}.mq .number,.mq table .number,.rendered-math .number,.rendered-math table .number{font-size:85%}.boldfont .mq .number,.boldfont .mq table .number,.boldfont .mq table var,.boldfont .mq var,.boldfont .rendered-math .number,.boldfont .rendered-math table .number,.boldfont .rendered-math table var,.boldfont .rendered-math var{font-family:bmathnumbers,"Times New Roman",serif!important}.mq .fraction .number,.mq table .fraction .number .rendered-math table .fraction .number,.rendered-math .fraction .number{font-size:100%}.mq sup,.rendered-math sup{font-size:80%;position:relative;padding-left:.1em}.rendered-math .fraction{font-size:90%}.rendered-math .sans-serif{font-family:sans-serif,serif}.rendered-math .monospace{font-family:monospace,serif}.mmm-e,.mmm-e .cursor{display:-moz-inline-box;display:inline-block}.mmm-e{white-space:pre-wrap}.mmm-e .cursor{border-left:1px solid #000;margin-right:-1px;position:relative;z-index:1;padding:0}.mmm-e .cursor.blink{visibility:hidden}.mmm-e,.mmm-l .mmm-e{border:1px solid gray;padding:2px}.mmm-l .mmm-e{margin:1px}.mmm-e .hasCursor,.mmm-e.hasCursor{-webkit-box-shadow:#68b4df 0 0 3px 2px;-moz-box-shadow:#68b4df 0 0 3px 2px;box-shadow:#68b4df 0 0 3px 2px}.mmm-e .latex-command-input{color:inherit;font-family:"Courier New",monospace;border:1px solid gray;padding-right:1px;margin-right:1px;margin-left:2px}.mmm-e .latex-command-input.empty{background:0 0}.mmm-e .latex-command-input.hasCursor{border-color:ActiveBorder}.mathquill-textbox:after,.mmm-e.empty:after,.rendered-math .empty:after{visibility:hidden;content:"c"}.mmm-e .cursor:only-child:after,.mmm-e .textarea+.cursor:last-child:after{visibility:hidden;content:"c"}.mathquill-textbox{overflow-x:auto;overflow-y:hidden}.rendered-math{font-variant:normal;font-weight:400;font-style:normal;font-size:115%;line-height:1}.rendered-math,.rendered-math .non-leaf,.rendered-math .scaled{display:-moz-inline-box;display:inline-block}.rendered-math .nonSymbola,.rendered-math .text,.rendered-math table .nonSymbola,.rendered-math table .text,.rendered-math table var,.rendered-math var{line-height:.9}.rendered-math *{font-size:inherit;line-height:inherit;margin:0;padding:0;border-color:#000;-webkit-user-select:none;-moz-user-select:none;user-select:none;text-shadow:none}.rendered-math .empty{background:#ccc}.rendered-math.empty{background:0 0}.rendered-math .text{font-size:87%}.rendered-math .font *{font-family:inherit;font-style:inherit}.rendered-math b,.rendered-math b.font{font-weight:bolder}.rendered-math i,.rendered-math i.font,.rendered-math var{font-syle:italic}.rendered-math var.florin{margin:0-.1em}.rendered-math big{font-size:125%}.rendered-math .roman{font-style:normal}.rendered-math .overline{border-top:1px solid #000;margin-top:1px}.rendered-math .underline{border-bottom:1px solid #000;margin-bottom:1px}.rendered-math .binary-operator{padding:0 .2em;display:-moz-inline-box;display:inline-block}.rendered-math .unary-operator{padding-left:.2em}.rendered-math sub .binary-operator,.rendered-math sup .binary-operator{padding:0 .1em}.rendered-math sub .unary-operator,.rendered-math sup .unary-operator{padding-left:.1em}.rendered-math sub.limit,.rendered-math sub.nthroot,.rendered-math sup.limit,.rendered-math sup.nthroot{font-size:80%}.rendered-math sup .fraction{font-size:70%;vertical-align:-.4em}.rendered-math sub .numerator,.rendered-math sup .numerator{padding-bottom:0}.rendered-math sub .denominator,.rendered-math sup .denominator{padding-top:0}.rendered-math sup{vertical-align:.5em}.rendered-math sup.limit,.rendered-math sup.nthroot{vertical-align:.8em}.rendered-math sup.nthroot{margin-right:-.6em;margin-left:.2em;min-width:.5em}.rendered-math sub{position:relative;vertical-align:-.4em}.rendered-math sub.limit{vertical-align:-.6em}.rendered-math .paren{padding:0 .1em;vertical-align:bottom;-webkit-transform-origin:bottom center;-moz-transform-origin:bottom center;-ms-transform-origin:bottom center;-o-transform-origin:bottom center;transform-origin:bottom center}.rendered-math .array{vertical-align:middle;text-align:center}.rendered-math .array>span{display:block}.rendered-math .non-italicized-function{line-height:.9;font-style:normal;padding-right:.2em}.rendered-math .fraction{text-align:center;vertical-align:-.5em;padding:0 .2em}.rendered-math .fraction,.rendered-math x:-moz-any-link{display:-moz-groupbox}.rendered-math .fraction,.rendered-math x:-moz-any-link,.rendered-math x:default{display:inline-block}.rendered-math .denominator,.rendered-math .numerator{display:block}.rendered-math .numerator{padding:0 .1em;margin-bottom:-.1em}.rendered-math .denominator{border-top:1px solid;float:right;width:100%;padding:.1em .1em 0;margin-right:-.1em;margin-left:-.1em}.rendered-math .sqrt-prefix{padding-top:0;position:relative;top:.1em;vertical-align:top;-webkit-transform-origin:top;-moz-transform-origin:top;-ms-transform-origin:top;-o-transform-origin:top;transform-origin:top}.rendered-math .sqrt-stem{border-top:1px solid;margin-top:1px;padding-left:.15em;padding-right:.2em;margin-right:.1em}.rendered-math .vector-prefix{display:block;text-align:center;line-height:.25em;margin-bottom:-.1em;font-size:.75em}.rendered-math .vector-stem{display:block}.mmm-e .selection,.mmm-e .selection .non-leaf,.mmm-e .selection .scaled,.rendered-math .selection,.rendered-math .selection .non-leaf,.rendered-math .selection .scaled{background:#b4d5fe!important;background:Highlight!important;color:HighlightText;border-color:HighlightText}.mmm-e .selection .matrixed,.rendered-math .selection .matrixed{background:#39f!important}.mmm-e .selection .matrixed-container,.rendered-math .selection .matrixed-container{filter:progid:DXImageTransform.Microsoft.Chroma(color='#3399FF')!important}.mmm-e .selection.blur,.mmm-e .selection.blur .matrixed,.mmm-e .selection.blur .non-leaf,.mmm-e .selection.blur .scaled,.rendered-math .selection.blur,.rendered-math .selection.blur .matrixed,.rendered-math .selection.blur .non-leaf,.rendered-math .selection.blur .scaled{background:#d4d4d4!important;color:#000;border-color:#000}.mmm-e .selection.blur .matrixed-container,.rendered-math .selection.blur .matrixed-container{filter:progid:DXImageTransform.Microsoft.Chroma(color='#D4D4D4')!important}.mmm-e .textarea,.rendered-math .textarea{position:relative;-webkit-user-select:text;-moz-user-select:text;user-select:text}.mmm-e .selectable,.mmm-e .textarea textarea,.rendered-math .selectable,.rendered-math .textarea textarea{-webkit-user-select:text;-moz-user-select:text;user-select:text;position:absolute;clip:rect(1em 1em 1em 1em)}.rendered-math .matrixed{background:#fff;display:-moz-inline-box;display:inline-block}.rendered-math .matrixed-container{filter:progid:DXImageTransform.Microsoft.Chroma(color='white');margin-top:-.1em}
.rendered-math{font-size:24px;white-space:nowrap;padding:10px}.rendered-math sub,.rendered-math sup{font-size:80%}.rendered-math sup .fraction{font-size:75%}.rendered-math sup.nthroot{vertical-align:.8em;margin-right:0;margin-left:0;min-width:auto;left:.3em}.rendered-math table{display:table}.rendered-math tbody{display:table-row-group}.rendered-math tr{display:table-row}.rendered-math td{display:table-cell}.rendered-math .numerator{border-bottom:0;margin-bottom:0}.rendered-math .sqrt-stem{font-size:1em;padding-top:2px}.substep span.formula.rendered-math{font-size:18px;padding:0}a img{border:0}table.comma-table td{padding-top:10px}
@font-face{font-family:mathfontbasic;src:local("☺☺"),url(/fonts/Symbola-basic.woff)format("woff"),url(/fonts/Symbola-basic.ttf)format("truetype");font-display:swap}@font-face{font-family:mathnumbers;src:local("☺☺☺"),url(/fonts/numbers.woff)format("woff"),url(/fonts/numbers.ttf)format("truetype");font-display:swap}@font-face{font-family:bmathnumbers;src:local("☺☺☺☺"),url(/font/bnumbers.woff)format("woff"),url(/font/bnumbers.ttf)format("truetype");font-display:swap}
.ui-mobile h3.graph-title{padding-left:.5em}.ui-mobile h3.graph-title div{float:right;padding-right:1em}.graph-msg{margin:15px 0;font-family:"Open Sans",Arial,sans-serif;border-left:5px solid #558abb;padding:.5em;font-size:14px;white-space:normal}.ui-mobile .graph-msg{margin-left:15px;font-size:16px;margin-right:10px;padding:.2em .2em .2em .5em}.dblaxis .grid path.domain,.grid line{stroke:#969696;stroke-width:.5px}.axis path.domain,.grid path.domain{stroke:none;stroke-width:0}.axis line{fill:none;stroke:#000;stroke-width:3px}.axis text,.axis.label,.nl-label{font-size:12px;font-weight:700;font-family:Verdana,Arial,sans-serif}.area{fill:#4682b4}td.legend{padding-top:40px}.legend-expressions{font-size:70%}.ch line{stroke-width:1px;stroke:#03305c}a.zoom-back,a.zoom-in,a.zoom-out{display:inline-block;padding:0 5px}a.zoom-in,a.zoom-out{width:35px;height:35px}a.zoom-in{background:url(images/zoom/zoom-in.png)no-repeat}a.zoom-out{background:url(images/zoom/zoom-out.png)no-repeat}a.zoom-back{width:32px;height:32px;background:url(images/zoom/back.png)no-repeat}a.zoom-back.zoom-back-disabled{background-image:url(images/zoom/back-disabled.png)}.ui-mobile a.zoom-back,.ui-mobile a.zoom-in,.ui-mobile a.zoom-out{width:40px;height:40px;padding:0}.ui-mobile a.zoom-in{background:url(images/zoom/zoom-in.svg)no-repeat}.ui-mobile a.zoom-out{background:url(images/zoom/zoom-out.svg)no-repeat}.ui-mobile a.zoom-back{background:url(images/zoom/back.svg)no-repeat}.ui-mobile a.zoom-back.zoom-back-disabled{background-image:url(images/zoom/back-disabled.svg)}.loading{position:absolute;background:#fff url(images/web-algebrator/spinner.gif)no-repeat 50% 20%;opacity:.6;z-index:1000;-ms-filter:"progid:DXImageTransform.Microsoft.Alpha(Opacity=75)";filter:progid:DXImageTransform.Microsoft.Alpha(Opacity=75)}
.print-steps .exp .rendered-math{padding:4px;font-size:20px}.print-steps .step-title{font-size:12px;border-top:2px solid #000;margin-top:2em;margin-bottom:.5em}.print-steps .explanations{display:flex;flex-wrap:wrap}.print-steps .exp{min-width:300px;width:min-content;margin-right:10px;margin-top:10px;margin-bottom:17px;align-self:flex-start}.print-steps .exp,.print-steps .sel{border:2px solid navy;border-radius:4px;padding:2px;display:inline-block;position:relative;background-color:#fff}.print-steps .exp::after,.print-steps .sel::after{content:" ";position:absolute;border:2px solid navy;border-radius:4px;padding:2px;left:2px;top:-17px;font-size:11px;font-family:sans-serif;background:#fff}.print-steps .exp.e0,.print-steps .exp.e0::after,.print-steps .sel.r0,.print-steps .sel.r0::after,.print-steps .sel.s0,.print-steps .sel.s0::after{border-color:#4574b3}.print-steps .exp.e1,.print-steps .exp.e1::after,.print-steps .sel.r1,.print-steps .sel.r1::after,.print-steps .sel.s1,.print-steps .sel.s1::after{border-color:#5d9f2d}.print-steps .exp.e2,.print-steps .exp.e2::after,.print-steps .sel.r2,.print-steps .sel.r2::after,.print-steps .sel.s2,.print-steps .sel.s2::after{border-color:#e58728}.print-steps .exp.e3,.print-steps .exp.e3::after,.print-steps .sel.r3,.print-steps .sel.r3::after,.print-steps .sel.s3,.print-steps .sel.s3::after{border-color:#c940c7}.print-steps .exp.e4,.print-steps .exp.e4::after,.print-steps .sel.r4,.print-steps .sel.r4::after,.print-steps .sel.s4,.print-steps .sel.s4::after{border-color:#7470b1}.print-steps .exp.e0::after,.print-steps .sel.r0::after,.print-steps .sel.s0::after{content:"1"}.print-steps .exp.e1::after,.print-steps .sel.r1::after,.print-steps .sel.s1::after{content:"2"}.print-steps .exp.e2::after,.print-steps .sel.r2::after,.print-steps .sel.s2::after{content:"3"}.print-steps .exp.e3::after,.print-steps .sel.r3::after,.print-steps .sel.s3::after{content:"4"}.print-steps .exp.e4::after,.print-steps .sel.r4::after,.print-steps .sel.s4::after{content:"5"}.print-steps .exp.e5::after,.print-steps .sel.r5::after,.print-steps .sel.s5::after{content:"6"}.print-steps .exp.e6::after,.print-steps .sel.r6::after,.print-steps .sel.s6::after{content:"7"}
ul.breadcrumb{display:inline-flex;flex:1;flex-wrap:wrap;align-items:center;white-space:nowrap;list-style:none;margin:0;padding:0}.breadcrumb>li{padding:0;display:flex;font-family:Roboto,Noto Sans,Noto Sans JP,Noto Sans KR,Noto Naskh Arabic,Noto Sans Thai,Noto Sans Hebrew,Noto Sans Bengali,sans-serif;font-size:15px}.breadcrumb li::first::before{content:""}.breadcrumb li::before{content:"›";width:10px;height:16px;line-height:1;text-align:center;padding:0 4px;font-weight:700;display:inline-block;position:relative;top:-1px}ul.breadcrumb li:first-child:before{content:"";display:none}.breadcrumb a:link,.breadcrumb a:visited{color:#5f6368;transition:color .2s;outline:0;text-decoration:none}.breadcrumb a:focus,.breadcrumb a:hover{color:#1a73e8;text-decoration:none}hr.breadcrumb-btm{display:none}
#alg-graph{min-width:640px;min-height:300px}body #rsolver-container{padding:0;box-shadow:none;cursor:text;background:0 0}body .dym-problem-input{padding:0;border-radius:4px 4px 0 0;background-color:rgba(0,0,0,.06);color:rgba(0,0,0,.87);position:relative;display:flex;align-items:center}body .calc__pre_result.mqeditable{flex-grow:1;background:0 0;height:auto;border:0;padding:12px 0 0;margin-left:.7em}body .mq{padding-bottom:0}body .dym-problem-input>.btm-line{position:absolute;height:1px;width:100%;background-color:#333;bottom:0}body .dym-problem-input:hover>.btm-line{height:2px}body.mqv-focused .dym-problem-input>.btm-line{background-color:#71a8c8;height:2px}body .dym-problem-input>.ico{width:24px;height:24px;margin-right:.7em;background-image:url(/images/edit.svg);background_repeat:no-repeat}@media screen and (max-width:940px) and (orientation:portrait){body #rsolver-container{padding-top:8px}body #rsolver-container .dym-problem-input>.calc__pre_result.mqeditable{height:auto}body .mobile-keyboard-hint{font-size:.7em}}body[ready] #rsolver-container #kbdbig{display:none!important}body[ready].mqv-focused #rsolver-container #kbdbig{display:block!important}

/** GZ-compressed CSS static file **/
