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Symbolab Math Solver API
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1.45-3.93.002-1.627-.47-2.984-1.416-4.07-.946-1.086-2.105-1.63-3.48-1.63a3.969 3.969 0 0 0-1.356.228Zm-.62 7.34c-.39-.487-.585-1.128-.585-1.93 0-.806.196-1.458.588-1.954a1.907 1.907 0 0 1 3.03.006c.392.511.588 1.16.588 1.948 0 .787-.199 1.427-.595 1.92a1.927 1.927 0 0 1-3.025.01ZM66.59 14.924c-1.017 1.065-1.524 2.425-1.524 4.078-.001 1.652.507 3.013 1.523 4.083 1.017 1.07 2.309 1.604 3.875 1.604 1.572-.001 2.862-.534 3.87-1.598 1.006-1.064 1.51-2.427 1.51-4.089-.002-1.66-.505-3.022-1.51-4.084-1.006-1.063-2.296-1.594-3.87-1.594-1.567 0-2.859.534-3.875 1.6Zm2.355 6.002c-.39-.497-.583-1.15-.583-1.964v-.005c0-.783.197-1.419.588-1.908a1.907 1.907 0 0 1 3.021 0c.397.495.596 1.132.596 1.913 0 .807-.194 1.46-.583 1.958a1.92 1.92 0 0 1-3.039.006Z" clip-rule="evenodd"></path><path fill="#DB3F59" d="M77.521 11.306c0-.785.132-1.369.395-1.75.264-.381.665-.57 1.204-.567.527 0 .92.192 1.18.575.26.382.39.967.39 1.746v10.882c0 .79-.129 1.371-.386 1.748-.257.378-.65.566-1.184.566-.534 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1.743.26.38.66.57 1.198.57.302.003.596-.087.846-.255.28-.202.51-.465.673-.768.313.35.7.626 1.134.807.46.188.954.282 1.452.276 1.33.002 2.479-.541 3.445-1.628.967-1.087 1.45-2.397 1.45-3.93 0-1.627-.472-2.984-1.415-4.07-.944-1.086-2.104-1.63-3.48-1.63a3.969 3.969 0 0 0-1.357.228Zm-.623 7.34c-.39-.486-.585-1.127-.585-1.93 0-.806.196-1.457.588-1.953a1.914 1.914 0 0 1 3.032.006c.391.511.587 1.16.587 1.948 0 .787-.199 1.427-.596 1.92a1.926 1.926 0 0 1-3.026.01ZM27.582.601H4.524C2.024.601 0 2.665 0 5.208v22.785c0 2.544 2.024 4.608 4.524 4.608h23.058c2.5 0 4.524-2.064 4.524-4.608V5.208C32.105 2.665 30.08.6 27.582.6ZM13.904 23.414c-1.024.89-2.37 1.334-4.041 1.334-1.284 0-2.38-.23-3.287-.689-.908-.46-1.362-.998-1.363-1.614-.016-.4.145-.788.44-1.062.292-.268.685-.403 1.179-.403.243 0 .753.12 1.53.364.777.243 1.431.364 1.964.364.425.013.84-.14 1.156-.423.301-.267.47-.652.463-1.053a1.383 1.383 0 0 0-.476-1.093c-.318-.275-.996-.57-2.034-.885-1.508-.447-2.56-.976-3.16-1.59-.597-.613-.896-1.437-.894-2.474 0-1.331.484-2.42 1.452-3.268.968-.847 2.223-1.27 3.765-1.269 1.138 0 2.076.203 2.815.607.738.404 1.106.908 1.104 1.51 0 .434-.13.772-.389 1.019-.26.247-.623.369-1.082.369-.256 0-.675-.085-1.254-.252-.578-.167-1.015-.251-1.31-.251-.486 0-.874.113-1.163.339a1.075 1.075 0 0 0-.435.891c0 .584.639 1.076 1.916 1.477l.691.216c1.376.458 2.38 1.038 3.008 1.737.63.7.947 1.57.953 2.61-.009 1.437-.525 2.6-1.548 3.488Zm13.256-7.295c.079-.196.144-.396.196-.6l.005-.003a2.06 2.06 0 0 0 .067-.499c0-.466-.14-.835-.42-1.107a1.567 1.567 0 0 0-1.135-.41c-.31-.01-.61.1-.842.306a2.47 2.47 0 0 0-.58.965l-1.959 5.057-1.797-4.79c-.218-.59-.448-.994-.686-1.21a1.341 1.341 0 0 0-.932-.326 1.474 1.474 0 0 0-1.096.453 1.541 1.541 0 0 0-.446 1.122c0 .166.013.333.04.497.025.134.065.264.12.39l3.214 7.475-1.31 2.834c-.083.177-.15.362-.197.551a2.195 2.195 0 0 0-.07.541c.003.474.146.848.43 1.123.283.274.668.412 1.154.412.283.006.559-.094.771-.28.211-.187.418-.525.622-1.01l4.85-11.491Z" clip-rule="evenodd"></path></svg></span><!--[--><div class="header-nav" data-v-61b1c690 data-v-a165b747><a href="/solver" aria-label="解题" class="active" data-v-a165b747><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill header-icon" data-v-a165b747><path fill-rule="evenodd" d="M17.072 2.623c4.092 3.68 4.583 9.954 1.114 14.235l5.58 5.623c.323.359.31.91-.03 1.253a.896.896 0 0 1-1.244.03l-5.563-5.606a10.192 10.192 0 0 1-14.15-.76C-.976 13.37-.92 7.076 2.909 3.118a10.192 10.192 0 0 1 14.163-.495ZM2.482 13.615a8.417 8.417 0 0 0 7.78 5.231c4.644-.008 8.405-3.801 8.41-8.48.001-3.432-2.05-6.525-5.196-7.838a8.37 8.37 0 0 0-9.174 1.84 8.53 8.53 0 0 0-1.82 9.247Z" clip-rule="evenodd"></path></svg><span data-v-a165b747>解题</span></a><div class="tools-menu" data-v-a165b747 data-v-40e089d6><!--[--><a href="/solver/integral-calculator" data-v-40e089d6><!----><span data-v-40e089d6>积分(反导数)计算器</span></a><a href="/solver/derivative-calculator" data-v-40e089d6><!----><span data-v-40e089d6>导数计算器</span></a><a href="/solver/algebra-calculator" data-v-40e089d6><!----><span data-v-40e089d6>代数计算器</span></a><a href="/solver/matrix-calculator" data-v-40e089d6><!----><span data-v-40e089d6>矩阵计算器</span></a><a href="/solver" data-v-40e089d6><!----><span data-v-40e089d6>更多的...</span></a><!--]--></div></div><div class="header-nav" data-v-61b1c690 data-v-a165b747><a href="/graphing-calculator" aria-label="图表" class="" data-v-a165b747><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill header-icon" data-v-a165b747><path fill-rule="evenodd" d="M.9 0a.9.9 0 0 1 .9.9v21.3h21.3a.9.9 0 1 1 0 1.8H.9a.9.9 0 0 1-.9-.9V.9A.9.9 0 0 1 .9 0Z" clip-rule="evenodd"></path><path fill-rule="evenodd" d="M22.103 6.8c-3.506 0-6.881 2.247-8.257 5.916-.764 2.037-1.62 3.731-3.148 4.952-1.53 1.222-3.715 1.799-6.722 2.053a.9.9 0 1 1-.152-1.794c2.847-.24 4.619-.762 5.75-1.666 1.134-.905 1.85-2.214 2.587-4.177C13.785 7.753 17.805 5 22.102 5a.9.9 0 0 1 0 1.8Z" clip-rule="evenodd"></path></svg><span data-v-a165b747>图表</span></a><div class="tools-menu" data-v-a165b747 data-v-40e089d6><!--[--><a href="/graphing-calculator/line" data-v-40e089d6><!----><span data-v-40e089d6>线图</span></a><a href="/graphing-calculator/exponential-graph" data-v-40e089d6><!----><span data-v-40e089d6>指数图</span></a><a href="/graphing-calculator/quadratic-graph" data-v-40e089d6><!----><span data-v-40e089d6>二次图</span></a><a href="/graphing-calculator/graph-of-sin" data-v-40e089d6><!----><span data-v-40e089d6>正弦图</span></a><a href="/graphing-calculator" data-v-40e089d6><!----><span data-v-40e089d6>更多的...</span></a><!--]--></div></div><div class="header-nav" data-v-61b1c690 data-v-a165b747><a href="/calculators" aria-label="计算器" class="" data-v-a165b747><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill header-icon" data-v-a165b747><path d="M4.8 0h14.4c.994 0 1.8.895 1.8 2s-.806 2-1.8 2H4.8C3.806 4 3 3.105 3 2s.806-2 1.8-2ZM5 8a2 2 0 1 0 0 4 2 2 0 0 0 0-4ZM3 16a2 2 0 1 1 4 0 2 2 0 0 1-4 0ZM12 8a2 2 0 1 0 0 4 2 2 0 0 0 0-4ZM10 16a2 2 0 1 1 4 0 2 2 0 0 1-4 0ZM19 8a2 2 0 1 0 0 4 2 2 0 0 0 0-4ZM17 16a2 2 0 1 1 4 0 2 2 0 0 1-4 0ZM5 20a2 2 0 1 0 0 4 2 2 0 0 0 0-4ZM10 22a2 2 0 1 1 4 0 2 2 0 0 1-4 0ZM19 20a2 2 0 1 0 0 4 2 2 0 0 0 0-4Z"></path></svg><span data-v-a165b747>计算器</span></a><div class="tools-menu" data-v-a165b747 data-v-40e089d6><!--[--><a href="/calculator/fitness/bmi" data-v-40e089d6><!----><span data-v-40e089d6>体质指数计算器</span></a><a href="/calculator/finance/compound_interest_rate" data-v-40e089d6><!----><span data-v-40e089d6>复利计算器</span></a><a href="/calculator/math/percentage" data-v-40e089d6><!----><span data-v-40e089d6>百分比计算器</span></a><a href="/calculator/physics/acceleration" data-v-40e089d6><!----><span data-v-40e089d6>加速度计算器</span></a><a href="/calculators" data-v-40e089d6><!----><span data-v-40e089d6>更多的...</span></a><!--]--></div></div><div class="header-nav" data-v-61b1c690 data-v-a165b747><a href="/geometry-calculator" aria-label="几何" class="" data-v-a165b747><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill header-icon" data-v-a165b747><path fill-rule="evenodd" d="M17.18 7.599a.958.958 0 0 0 0-1.325.888.888 0 0 0-1.284 0L.266 22.401a.958.958 0 0 0-.197 1.02c.14.35.472.579.839.579h22.184c.502 0 .908-.42.908-.936 0-.518-.406-.937-.908-.937h-9.298c-.083-3.006-1.087-5.677-3.524-7.4L17.18 7.6Zm-8.219 8.48L3.1 22.126h8.895c-.085-2.69-1.005-4.771-3.033-6.049Z" clip-rule="evenodd"></path></svg><span data-v-a165b747>几何</span></a><div class="tools-menu" data-v-a165b747 data-v-40e089d6><!--[--><a href="/geometry-calculator/pythagorean-theorem-calculator" data-v-40e089d6><!----><span data-v-40e089d6>勾股定理计算器</span></a><a href="/geometry-calculator/circle-area-diameter-calculator" data-v-40e089d6><!----><span data-v-40e089d6>圆形面积计算器</span></a><a href="/geometry-calculator/isosceles-triangle-prove-angles-calculator" data-v-40e089d6><!----><span data-v-40e089d6>等腰三角形计算器</span></a><a href="/geometry-calculator/triangle-perimeter-calculator" data-v-40e089d6><!----><span data-v-40e089d6>三角形计算器</span></a><a href="/geometry-calculator" data-v-40e089d6><!----><span data-v-40e089d6>更多的...</span></a><!--]--></div></div><div class="header-nav" data-v-61b1c690 data-v-a165b747><a href="#" aria-label="工具" class="" data-v-a165b747><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 25" class="nuxt-icon nuxt-icon--fill header-icon" data-v-a165b747><path fill-rule="evenodd" d="M12.334 4.187a.9.9 0 0 0-.668 0L.739 8.557a.9.9 0 0 0 0 1.672l3.845 1.538v5.452c0 1.378 1.072 2.442 2.406 3.11 1.375.687 3.178 1.048 5.01 1.048 1.832 0 3.634-.361 5.01-1.049 1.333-.667 2.406-1.731 2.406-3.109v-5.452l2.61-1.044v5.226a.9.9 0 0 0 1.8 0V9.393a.9.9 0 0 0-.565-.835L12.334 4.187Zm5.282 8.3L12.334 14.6a.9.9 0 0 1-.668 0l-5.282-2.113v4.732c0 .35.3.944 1.41 1.5 1.07.533 2.581.858 4.206.858 1.624 0 3.137-.325 4.205-.859 1.11-.555 1.411-1.148 1.411-1.499v-4.732ZM12 12.795l8.503-3.402L12 5.992 3.497 9.393 12 12.795Z" clip-rule="evenodd"></path></svg><span data-v-a165b747>工具</span></a><div class="tools-menu" data-v-a165b747 data-v-40e089d6><!--[--><a href="/notebook" data-v-40e089d6><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill tools-menu-icon" data-v-40e089d6><path d="M7 5.1a.9.9 0 1 0 0 1.8h9.5a.9.9 0 1 0 0-1.8H7ZM7 9.1a.9.9 0 1 0 0 1.8h9.5a.9.9 0 1 0 0-1.8H7ZM6.1 14a.9.9 0 0 1 .9-.9h9.5a.9.9 0 1 1 0 1.8H7a.9.9 0 0 1-.9-.9Z"></path><path fill-rule="evenodd" d="M2 23V1a1 1 0 0 1 1-1h18a1 1 0 0 1 1 1v15.914a1 1 0 0 1-.334.746l-6.81 6.086a1 1 0 0 1-.666.254H3a1 1 0 0 1-1-1Zm2-1h9.1v-5a.9.9 0 0 1 .9-.9h6V1.8L4 2v20Zm14.696-4.1L14.9 21.292V17.9h3.796Z" clip-rule="evenodd"></path></svg><span data-v-40e089d6>笔记簿</span></a><a href="/groups" data-v-40e089d6><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill tools-menu-icon" data-v-40e089d6><path d="M13.897 15.731a8.902 8.902 0 0 0-1.87-.998 4.771 4.771 0 0 0 1.552-3.147 6.984 6.984 0 0 1 4.917-1.996c1.451 0 2.845.437 4.03 1.263A.937.937 0 1 0 23.6 9.316a8.911 8.911 0 0 0-1.87-.998 4.769 4.769 0 0 0 1.568-3.537A4.786 4.786 0 0 0 18.517 0a4.786 4.786 0 0 0-4.781 4.78c0 1.395.6 2.653 1.556 3.527a8.875 8.875 0 0 0-2.04 1.11 4.788 4.788 0 0 0-4.438-3.002 4.786 4.786 0 0 0-4.78 4.78c0 1.392.597 2.645 1.548 3.52-2.543.952-4.605 2.999-5.444 5.608a2.785 2.785 0 0 0 .404 2.518 2.784 2.784 0 0 0 2.273 1.156h8.155a.937.937 0 1 0 0-1.875H2.815a.928.928 0 0 1-.758-.385.929.929 0 0 1-.135-.84c.927-2.88 3.753-4.892 6.872-4.892a7.01 7.01 0 0 1 4.03 1.264.938.938 0 0 0 1.073-1.538Zm4.62-13.856a2.91 2.91 0 0 1 2.905 2.906 2.91 2.91 0 0 1-2.906 2.906A2.91 2.91 0 0 1 15.61 4.78a2.91 2.91 0 0 1 2.906-2.906ZM8.813 8.29a2.91 2.91 0 0 1 2.906 2.906 2.91 2.91 0 0 1-2.906 2.906 2.91 2.91 0 0 1-2.906-2.906A2.91 2.91 0 0 1 8.814 8.29ZM24 19.545c0 .517-.42.937-.938.937h-2.577v2.578a.937.937 0 1 1-1.875 0v-2.578h-2.578a.937.937 0 0 1 0-1.875h2.578v-2.578a.937.937 0 0 1 1.875 0v2.578h2.578c.517 0 .937.42.937.938Z"></path></svg><span data-v-40e089d6>小组</span></a><a href="/cheat-sheets" data-v-40e089d6><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill tools-menu-icon" data-v-40e089d6><path fill-rule="evenodd" d="M21.5 2h-14C6.12 2 5 3.146 5 4.56v1.682a2.502 2.502 0 0 0-2.454 1.683L.15 14.66c-.472 1.329.197 2.798 1.495 3.282L14.8 22.845c1.298.483 2.732-.201 3.205-1.53l2.394-6.736c.034-.096.062-.193.085-.29H21.5c1.381 0 2.5-1.147 2.5-2.56V4.56C24 3.146 22.881 2 21.5 2Zm0 10.24c.276 0 .5-.23.5-.512V4.56a.506.506 0 0 0-.5-.512h-14c-.276 0-.5.23-.5.512v7.168c0 .283.224.512.5.512h14ZM5 8.3v3.428c0 1.414 1.12 2.56 2.5 2.56h10.875l-2.249 6.326a.497.497 0 0 1-.64.306L2.33 16.017a.516.516 0 0 1-.3-.656l2.395-6.736A.498.498 0 0 1 5 8.3Z" clip-rule="evenodd"></path><path d="M8.922 8.339H8.51c-.281 0-.509-.21-.509-.467 0-.258.228-.467.509-.467h.677c.166 0 .321.074.416.199l1.55 2.022 1.056-4.192a.501.501 0 0 1 .495-.362h4.788c.281 0 .509.209.509.467s-.228.466-.509.466h-4.383l-1.223 4.85a.491.491 0 0 1-.398.352.524.524 0 0 1-.513-.19L8.922 8.34Z"></path><path d="M13.828 11.215c-.249 0-.442-.173-.442-.408 0-.13.05-.229.13-.322l.854-1.001-.778-.89c-.106-.124-.156-.236-.156-.36 0-.265.2-.432.436-.432.187 0 .317.086.442.241l.617.816.629-.816c.112-.136.243-.241.411-.241.25 0 .442.173.442.408 0 .13-.055.229-.13.322l-.81.94.834.952c.106.123.156.235.156.358a.42.42 0 0 1-.436.433c-.187 0-.317-.086-.442-.241l-.673-.878-.672.878c-.113.136-.243.241-.412.241Z"></path></svg><span data-v-40e089d6>主题</span></a><a href="/worksheets/Pre-Algebra" data-v-40e089d6><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 25" class="nuxt-icon nuxt-icon--fill tools-menu-icon" data-v-40e089d6><path fill-rule="evenodd" d="M3.39 3.744a1.004 1.004 0 0 1 .846-1.135l14.777-2.1a.997.997 0 0 1 1.124.857l2.353 16.926a1.004 1.004 0 0 1-.846 1.135l-3.233.46v3.608a1 1 0 0 1-.994 1.005H2.495a1 1 0 0 1-.995-1.005V6.402a1 1 0 0 1 .995-1.005H3.62l-.23-1.653Zm4.016 15.878L5.274 4.289l13.2-1.875 2.132 15.333-13.2 1.875ZM3.87 7.207 5.743 20.67c.077.55.58.933 1.124.856l9.754-1.385v2.55H3.29V7.206h.58Z" clip-rule="evenodd"></path><path d="M8.661 13.415a.253.253 0 0 0 .05.352l.992.756-.748 1.004a.253.253 0 0 0 .049.352l.397.303c.11.083.266.061.349-.05l.748-1.004.993.757c.11.083.266.061.348-.05l.3-.401a.253.253 0 0 0-.05-.352l-.992-.757.748-1.003a.253.253 0 0 0-.049-.352l-.397-.303a.247.247 0 0 0-.349.05l-.748 1.003-.993-.756a.247.247 0 0 0-.348.05l-.3.401ZM13.544 8.14a.25.25 0 0 0 .281.214l1.232-.175.173 1.244a.25.25 0 0 0 .28.214l.493-.07a.251.251 0 0 0 .212-.284l-.173-1.244 1.231-.175a.25.25 0 0 0 .212-.284l-.07-.498a.25.25 0 0 0-.28-.214l-1.232.175L15.73 5.8a.25.25 0 0 0-.28-.214l-.493.07a.25.25 0 0 0-.212.284l.173 1.244-1.231.175a.25.25 0 0 0-.212.284l.07.498ZM9.854 6.887a.502.502 0 0 1-.423.568.498.498 0 0 1-.562-.428.502.502 0 0 1 .423-.568.498.498 0 0 1 .562.428ZM7.915 9.193a.25.25 0 0 1-.281-.214l-.07-.497a.25.25 0 0 1 .212-.284l3.448-.49a.25.25 0 0 1 .28.214l.07.498a.25.25 0 0 1-.211.284l-3.448.49ZM9.846 10.442a.502.502 0 0 0 .424-.568.498.498 0 0 0-.562-.428.502.502 0 0 0-.424.568c.039.275.29.467.562.428ZM14.76 15.075a.25.25 0 0 1-.281-.214l-.07-.498a.25.25 0 0 1 .212-.284l3.448-.49a.25.25 0 0 1 .281.214l.07.498a.251.251 0 0 1-.212.284l-3.448.49ZM14.552 13.581a.25.25 0 0 1-.28-.214l-.07-.498a.25.25 0 0 1 .212-.284l3.447-.49a.25.25 0 0 1 .281.214l.07.498a.251.251 0 0 1-.212.284l-3.448.49Z"></path></svg><span data-v-40e089d6>工作表</span></a><a href="/practice" data-v-40e089d6><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 24" class="nuxt-icon nuxt-icon--fill tools-menu-icon" data-v-40e089d6><path fill-rule="evenodd" d="M4 13c0 .552-.341 1-.762 1H.762C.342 14 0 13.552 0 13s.341-1 .762-1h2.476c.42 0 .762.448.762 1ZM12 4c-.552 0-1-.341-1-.762V.762c0-.42.448-.762 1-.762s1 .341 1 .762v2.476c0 .42-.448.762-1 .762ZM19.389 6.707c-.391-.39-.467-.948-.169-1.245l1.75-1.751c.299-.298.856-.223 1.247.168.39.39.466.948.169 1.245l-1.751 1.751c-.298.298-.856.223-1.247-.168ZM4.536 6.707c.39-.39.466-.948.168-1.245L2.954 3.71c-.298-.298-.856-.223-1.247.168-.39.39-.466.948-.168 1.245l1.75 1.751c.298.298.856.223 1.247-.168ZM24 13c0 .552-.341 1-.762 1h-2.476c-.42 0-.762-.448-.762-1s.341-1 .762-1h2.476c.42 0 .762.448.762 1ZM9 23c0-.552.495-1 1.105-1h3.79c.61 0 1.105.448 1.105 1s-.495 1-1.105 1h-3.79C9.495 24 9 23.552 9 23ZM5 12c0 1.89.749 3.605 1.966 4.864l.655 2.621A2 2 0 0 0 9.561 21h4.877a2 2 0 0 0 1.94-1.515l.656-2.62A7 7 0 1 0 5 12Zm9.688 6H9.312l.155.621a.5.5 0 0 0 .485.379h4.096a.5.5 0 0 0 .485-.379l.155-.621Zm.908-2.526a1.996 1.996 0 0 0-.37.536.818.818 0 0 0-.13-.01H8.904a.817.817 0 0 0-.128.01 2 2 0 0 0-.37-.536 5 5 0 1 1 7.192 0Z" 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data-v-65b17286><div data-v-65b17286 data-v-1f676ef4><h1 id="widgets" data-v-1f676ef4>Widgets</h1><p data-v-1f676ef4>Use a widget to easily embed an instant calculator or get solutions on your website</p><div class="top" data-v-1f676ef4 data-v-74747941><h2 id="calculator-widget" data-v-74747941>Calculator widget</h2><div data-v-74747941><iframe id="symbolab-calculator" src="https://symbolab.com/calculator_widget2/construction/circle_footage_cost_calculator" style="height: 480px; width: 430px; border: 0; border-radius: 5px; box-shadow: 0px 1px 2px rgba(32, 47, 102, 0.08), 0px 2px 4px rgba(32, 47, 102, 0.08), 0px 4px 8px rgba(32, 47, 102, 0.08), 0px 8px 16px rgba(32, 47, 102, 0.08), 0px 16px 32px rgba(32, 47, 102, 0.08);"></iframe></div><h4 data-v-74747941>Code:</h4><div class="snippet-container" data-v-74747941><pre data-v-74747941><iframe id="symbolab-calculator" src="https://symbolab.com/calculator_widget2/construction/circle_footage_cost_calculator" style="height: 480px; width: 430px; border: 0; border-radius: 5px; box-shadow: 0px 1px 2px rgba(32, 47, 102, 0.08), 0px 2px 4px rgba(32, 47, 102, 0.08), 0px 4px 8px rgba(32, 47, 102, 0.08), 0px 8px 16px rgba(32, 47, 102, 0.08), 0px 16px 32px rgba(32, 47, 102, 0.08);"></iframe></pre></div><button data-v-74747941>Copy to clipboard</button><!----></div><div class="top" data-v-1f676ef4 data-v-74747941><h2 id="integral-solver-widget" data-v-74747941>Integral solver widget</h2><div data-v-74747941><iframe id="symbolab-calculator" src="https://symbolab.com/calculator_widget?type=integral-solver&title=Integral+Calculator" style="height: 500px; max-width: 430px; width: 100%; border: 0; border-radius: 5px;"></iframe></div><h4 data-v-74747941>Code:</h4><div class="snippet-container" data-v-74747941><pre data-v-74747941><iframe id="symbolab-calculator" src="https://symbolab.com/calculator_widget?type=integral-solver&amp;title=Integral+Calculator" style="height: 500px; max-width: 430px; width: 100%; border: 0; border-radius: 5px;"></iframe></pre></div><button data-v-74747941>Copy to clipboard</button><!----></div></div></div><div class="box" data-v-65b17286><div data-v-65b17286><h1 id="more-information">More Information</h1><h2>Pricing</h2><p>For pricing information, please contact <a href="/cdn-cgi/l/email-protection#1d7c6d745d6e64707f72717c7f337e7270"><span class="__cf_email__" data-cfemail="c8a9b8a188bbb1a5aaa7a4a9aae6aba7a5">[email protected]</span></a>.</p></div></div></div></div></div></div><!--]--><div class="footer desktop" style="" data-v-bff09cfc data-v-b3dea1e9><div id="footer-top" data-v-b3dea1e9><nav data-v-b3dea1e9><div class="home-only" data-v-b3dea1e9><a href="/" aria-label="主页" data-v-b3dea1e9><svg xmlns="http://www.w3.org/2000/svg" fill="none" viewBox="0 0 106 33" class="nuxt-icon nuxt-icon--fill logo" data-v-b3dea1e9><path fill="#DB3F59" d="M34.608 22.189v-6.386c0-.786.132-1.372.396-1.76.261-.387.661-.58 1.19-.58.301-.003.596.088.844.26.284.208.516.48.676.792a3.095 3.095 0 0 1 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2.227.413.52.192.994.497 1.378.895.399.39.703.858.896 1.379.164.422.36 1.06.412 2.227.056 1.266.07 1.645.07 4.848 0 3.202-.014 3.577-.07 4.843Z"></path><path d="M12.044 5.837a6.167 6.167 0 0 0-6.165 6.165 6.167 6.167 0 0 0 6.165 6.166 6.167 6.167 0 0 0 6.166-6.166 6.167 6.167 0 0 0-6.166-6.165Zm0 10.165a4 4 0 1 1 .002-8 4 4 0 0 1-.002 8ZM19.893 5.593a1.44 1.44 0 1 1-2.879 0 1.44 1.44 0 0 1 2.879 0Z"></path></g><defs><clipPath id="i-60048574__a"><path fill="#fff" d="M0 0h24v24H0z"></path></clipPath></defs></svg></a></div></div></nav></div><div id="footer-bottom" data-v-b3dea1e9><div id="copyright" data-v-b3dea1e9><div data-v-b3dea1e9>Symbolab, a Learneo, Inc. business</div><div data-v-b3dea1e9>© Learneo, Inc. 2024</div></div></div><!----><!----></div></div></div><div id="teleports"></div><script data-cfasync="false" src="/cdn-cgi/scripts/5c5dd728/cloudflare-static/email-decode.min.js"></script><script type="application/json" data-nuxt-data="nuxt-app" data-ssr="true" id="__NUXT_DATA__">[["ShallowReactive",1],{"data":2,"state":75,"once":78,"_errors":79,"serverRendered":12,"path":82,"pinia":83},["ShallowReactive",3],{"HLn3ZAfYyz":4,"JQYDRSVcTa":6,"422u8ryqk6":74},{"jwt":5},"eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJodHRwczovL3d3dy5zeW1ib2xhYi5jb20iLCJ1ZGlkIjpudWxsLCJzdWJzY3JpYmVkIjpudWxsLCJleHAiOjE3NDA4Mjc3OTd9.gs11fTmkg3t34L9RieEXnJukDm2N8BVUMKud_WGesGM",[7,13,18,23,28,33,38,43,49,54,59,64,69],{"display":8,"domain":9,"name":8,"code":10,"hreflang":10,"URL":11,"provideHrefLang":12},"English","www","en","https://www.symbolab.com/math-solver-api",true,{"display":14,"domain":15,"name":16,"code":15,"hreflang":15,"URL":17,"provideHrefLang":12},"Español","es","Spanish","https://es.symbolab.com/math-solver-api",{"display":19,"domain":20,"name":21,"code":20,"hreflang":20,"URL":22,"provideHrefLang":12},"Português","pt","Portuguese","https://pt.symbolab.com/math-solver-api",{"display":24,"domain":25,"name":26,"code":25,"hreflang":25,"URL":27,"provideHrefLang":12},"Français","fr","French","https://fr.symbolab.com/math-solver-api",{"display":29,"domain":30,"name":31,"code":30,"hreflang":30,"URL":32,"provideHrefLang":12},"Deutsch","de","German","https://de.symbolab.com/math-solver-api",{"display":34,"domain":35,"name":36,"code":35,"hreflang":35,"URL":37,"provideHrefLang":12},"Italiano","it","Italian","https://it.symbolab.com/math-solver-api",{"display":39,"domain":40,"name":41,"code":40,"hreflang":40,"URL":42,"provideHrefLang":12},"Русский","ru","Russian","https://ru.symbolab.com/math-solver-api",{"display":44,"domain":45,"name":46,"code":45,"hreflang":47,"URL":48,"provideHrefLang":12},"中文(简体)","zs","Chinese","zh","https://zs.symbolab.com/math-solver-api",{"display":50,"domain":51,"name":52,"code":51,"hreflang":51,"URL":53,"provideHrefLang":12},"한국어","ko","Korean","https://ko.symbolab.com/math-solver-api",{"display":55,"domain":56,"name":57,"code":56,"hreflang":56,"URL":58,"provideHrefLang":12},"日本語","ja","Japanese","https://ja.symbolab.com/math-solver-api",{"display":60,"domain":61,"name":62,"code":61,"hreflang":61,"URL":63,"provideHrefLang":12},"Tiếng Việt","vi","Vietnamese","https://vi.symbolab.com/math-solver-api",{"display":65,"domain":66,"name":67,"code":66,"hreflang":66,"URL":68,"provideHrefLang":12},"עברית","he","Hebrew","https://he.symbolab.com/math-solver-api",{"display":70,"domain":71,"name":72,"code":71,"hreflang":71,"URL":73,"provideHrefLang":12},"العربية","ar","Arabic","https://ar.symbolab.com/math-solver-api","openapi: 3.0.3\ninfo:\n title: Symbolab Math Solver API\n version: 1.0.0\n description: |\n ## Authentication\n All of the Symbolab APIs require authentication strings provided in the headers of the request.\n The authentication is comprised of two identification strings:\n 1. `app_id`: a string identifying the application that is using the API\n 1. `access_key`: a string indicating the access permissions to the different API calls.\n \n ## Caller Question Format\n \n Symbolab APIs accept a question field. The question field should be a string containing the question being asked.\n The question can be either text input or image input or a mix of both.\u003Cbr/>\n \n To indicate images use `\u003Cimage>...\u003C/image>` tags. You can either specify a URL of the image - for example:\n \n `\u003Cimage>https://www.symbolab.com/image.jpg\u003C/image>`\n \n or provide the image as Base64 content using data URI:\n \n `\u003Cimage>data:@file/jpeg;base64,/9j/4AAQSkZJRgA...\u003C/image>`\n \n ## Symbolab Question Format\n \n Symbolab APIs will convert caller question format into Symbolab question format.\n \n The Symbolab Question format is a unambiguous input that returns a single answer from Symbolab's calculators.\n For example if a caller's question is:\n \n `f(x)=x+2/x`,\n \n the Symbolab Question will become\n \n `domain f(x)=\\frac{x+2}{x}`\n \n You can use the /api/vi/dym API to retrieve multiple alternatives to a caller question.\n Symbolab will use the first alternative when an API is being called with 'question' field.\n \n When `symbolab_question` is provided, the `question` field will be ignored and no auto-corrections will be performed.\n \n ## Supported Languages\n Symbolab offers its API service in the following languages:\n - Arabic - `ar`\n - Chinese (Simplified) - `zs`\n - English - `en`\n - French - `fr`\n - German - `de`\n - Hebrew - `he`\n - Italian - `it`\n - Japanese - `ja`\n - Korean - `ko`\n - Portuguese - `pt`\n - Russian - `ru`\n - Spanish - `es`\n - Vietnamese - `vi`\n \n When using an API entry specify the required response language using a 2 letter code above.\n \n _Please note that when a translation is missing in the system, English text will be used._\n \n ## Rendering LaTeX\n We recommend using KaTeX as the LaTeX rendering engine. LaTeX will reside within the math delimiters, usually `$$...$$`. \n \n ## API Demo Limitations\n \n The API demonstration key can only be used to solve queries with result_type = solution_only or flat_steps, and it can only be used to ask algebraic and pre-algebraic questions. \n Additionally, there is a 50 request per hour limit on the present API demonstration.\n\nservers:\n- url: https://www.symbolab.com\n description:\nsecurity:\n- app_id:\n - api_showcase\n access_key:\n - iKjYH4Xwp23dfygF4DcfezdsI0USG7xyjaZRZdvih1N6ybYx3RSIPQ\npaths:\n /api/v1/solve:\n post:\n tags:\n - Solve a problem\n summary: Solve a problem\n description: Given a question, return a solution for a STEM problem, with the requested details - solution_only, flat steps or full_steps.\n requestBody:\n required: true\n content:\n application/json:\n schema:\n type: object\n properties:\n question:\n type: string\n nullable: false\n enum: null\n default: null\n example: x^2-x-6=0\n result_type:\n type: string\n nullable: true\n enum:\n - solution_only\n - flat_steps\n - full_steps\n default: solution_only\n example: flat_steps\n language:\n type: string\n nullable: false\n enum:\n - en\n - es\n - pt\n - fr\n - de\n - it\n - zs\n - ko\n - ja\n - vi\n - he\n - ar\n default: en\n example: en\n math_inline_delimiters:\n type: array\n nullable: false\n enum: null\n default:\n - $$\n - $$\n example: [\"$$\",\"$$\"]\n required:\n - question\n responses:\n 200:\n description: Return a solution\n content:\n application/json:\n schema:\n type: object\n allOf:\n - $ref: '#/components/schemas/response_first'\n - type: object\n properties:\n query:\n $ref: '#/components/schemas/query'\n solution:\n $ref: '#/components/schemas/solution'\n methods:\n description: |\n For some problems multiple solving methods are available.\u003Cbr/>\n For example for quadratic equations it is sometimes possible to solve using factoring,\n using completing the square and finally using the quadratic equation formula.\u003Cbr/>\n The possible methods will be listed in this object array, where each object will contain:\n \u003Cul>\n \u003Cli>Method\u003C/li>\n \u003Cli>Query (query to be sent to symbolab in case this is the requested method)\u003C/li>\n \u003C/ul>\n The returned method will always be the first one in the list.\u003Cbr/>\n type: array\n items:\n $ref: '#/components/schemas/method'\n steps:\n $ref: '#/components/schemas/step'\n - $ref: '#/components/schemas/response_last'\n example:\n request_id: a14ca2ed-9f0b-4fea-8f99-36b22be95889\n query:\n display: $$x^{2}-x-6=0$$\n symbolab_question: EQUATION#x^{2}-x-6=0\n solution:\n level: PERFORMED\n default: x=3,x=-2\n methods:\n - method: Quadratic formula\n query:\n display: quadratic formula $$x^{2}-x-6=0$$\n symbolab_question: quadraticformula x^{2}-x-6=0\n - method: Completing the square\n query:\n display: complete the square $$x^{2}-x-6=0$$\n symbolab_question: completesquare x^{2}-x-6=0\n - method: Factoring method\n query:\n display: factor $$x^{2}-x-6=0$$\n symbolab_question: factor x^{2}-x-6=0\n steps:\n type: interim\n title: '$$x^{2}-x=0{\\quad:\\quad}x=0,\\:x=1$$'\n input: 'x^{2}-x=0'\n steps:\n - type: interim\n title: '$$x^{2}-x-6=0{\\\\quad:\\\\quad}x=3,\\\\:x=-2$$'\n input: 'x^{2}-x-6=0'\n steps:\n - type: step\n primary: 'Solve with the quadratic formula'\n - type: definition\n title: 'Quadratic Equation Formula:'\n text: 'For a quadratic equation of the form $$ax^2+bx+c=0$$ the solutions are \u003Cbr/>$${\\\\quad}x_{1,\\\\:2}=\\\\frac{-b\\\\pm\\\\sqrt{b^2-4ac}}{2a}$$'\n - type: step\n primary: '$$\\\\sqrt{\\\\left(-1\\\\right)^{2}-4\\\\cdot\\\\:1\\\\cdot\\\\:\\\\left(-6\\\\right)}=5$$'\n result: '{x}_{1,\\\\:2}=\\\\frac{-\\\\left(-1\\\\right)\\\\pm\\\\:5}{2\\\\cdot\\\\:1}'\n - type: step\n primary: 'Separate the solutions'\n result: '{x}_{1}=\\\\frac{-\\\\left(-1\\\\right)+5}{2\\\\cdot\\\\:1},\\\\:{x}_{2}=\\\\frac{-\\\\left(-1\\\\right)-5}{2\\\\cdot\\\\:1}'\n - type: step\n primary: '$$x=\\\\frac{-\\\\left(-1\\\\right)+5}{2\\\\cdot\\\\:1}:{\\\\quad}3$$'\n result: '=3'\n - type: step\n primary: '$$x=\\\\frac{-\\\\left(-1\\\\right)-5}{2\\\\cdot\\\\:1}:{\\\\quad}-2$$'\n result: '=-2'\n - type: step\n primary: 'The solutions to the quadratic equation are:'\n result: 'x=3,\\\\:x=-2'\n /api/v1/dym:\n post:\n tags:\n - Did You Mean\n summary: |\n \"Did You Mean?\" Alternatives\n description: |\n Given a question in caller format return the Did You Mean alternatives of the question in Symbolab Question Format.\n requestBody:\n required: true\n content:\n application/json:\n schema:\n type: object\n properties:\n question:\n type: string\n nullable: false\n enum: null\n default: null\n example: '2 2/3+2/3'\n language:\n type: string\n nullable: false\n enum:\n - en\n - es\n - pt\n - fr\n - de\n - it\n - zs\n - ko\n - ja\n - vi\n - he\n - ar\n default: en\n example: en\n math_inline_delimiters:\n description: |\n For output data, how should inline math content be delimited. A 2 strings array is required,\n first string is the opening tag, and second string is the closing tag.\u003Cbr/>\n For example:\u003Cbr/>\n Step title with [\"$$\", \"$$\"] configuration:\u003Cbr/>\n \"Use the formula: $$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$$\"\u003Cbr/>\n Step title with [\"\\(\", \"\\)\"] configuration:\u003Cbr/>\n \"Use the formula: \\(\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)\"\u003Cbr/>\n type: array\n items:\n type: string\n minItems: 2\n maxItems: 2\n default: null\n example: [ \"$$\",\"$$\" ]\n required:\n - question\n responses:\n 200:\n description: Return alternatives\n content:\n application/json:\n schema:\n type: object\n allOf:\n - $ref: '#/components/schemas/response_first'\n - type: object\n properties:\n alternatives:\n description: Did you mean alternatives to caller question\n type: array\n items:\n $ref: '#/components/schemas/query'\n - $ref: '#/components/schemas/response_last'\n example:\n request_id: ad88119c-2664-4058-b13e-5113c282808f\n alternatives:\n - display: '$$2\\\\frac{2}{3}+\\\\frac{2}{3}$$'\n symbolab_question: 'MIXED_NUMBERS#2\\\\frac{2}{3}+\\\\frac{2}{3}'\n origin: 'dym_1'\n - display: '$$2\\\\cdot\\\\:\\\\frac{2}{3}+\\\\frac{2}{3}$$'\n symbolab_question: '2\\\\cdot \\\\frac{2}{3}+\\\\frac{2}{3}'\n origin: dym_1\n /api/v1/verify:\n post:\n tags:\n - Verify\n summary: Verify Answer\n description: Given question and answer, verify that the answer is a possible solution to the question.\n requestBody:\n required: true\n content:\n application/json:\n schema:\n type: object\n properties:\n question:\n type: string\n nullable: false\n enum: null\n default: null\n example: x^2-x-6=0\n symbolab_question:\n type: string\n nullable: false\n enum: null\n default: null\n answer:\n type: string\n nullable: false\n enum: null\n default: null\n example: 'x=3,x=-2'\n language:\n type: string\n nullable: false\n enum:\n - en\n - es\n - pt\n - fr\n - de\n - it\n - zs\n - ko\n - ja\n - vi\n - he\n - ar\n default: en\n example: en\n math_inline_delimiters:\n description: |\n For output data, how should inline math content be delimited. A 2 strings array is required,\n first string is the opening tag, and second string is the closing tag.\u003Cbr/>\n For example:\u003Cbr/>\n Step title with [\"$$\", \"$$\"] configuration:\u003Cbr/>\n \"Use the formula: $$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$$\"\u003Cbr/>\n Step title with [\"\\(\", \"\\)\"] configuration:\u003Cbr/>\n \"Use the formula: \\(\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)\"\u003Cbr/>\n type: array\n items:\n type: string\n minItems: 2\n maxItems: 2\n default: null\n example: [\"$$\",\"$$\"]\n required:\n - question\n - symbolab_question\n - answer\n responses:\n 200:\n description: Return if the answer is a possible solution to the question\n content:\n application/json:\n schema:\n type: object\n allOf:\n - $ref: '#/components/schemas/response_first'\n - type: object\n properties:\n correct:\n description: The answer entered is a correct answer to the problem considering the assumptions\n type: boolean\n partial_error:\n description: |\n If the answer is not correct, partial error might contain a string indicating what was the error made,\n or how to achieve a correct answer, e.g: \"Try to simplify further\"\n type: string\n - $ref: '#/components/schemas/response_last'\n example:\n request_id: 363428a4-ab6f-4a27-9cec-099aefa1c8c0\n correct: true\n /api/v1/plot:\n post:\n tags:\n - Plot\n summary: Plot Questions\n description: |\n Given a question or multiple questions, return their plot.\u003Cbr/>\n (Not yet available)\n requestBody:\n required: true\n content:\n application/json:\n schema:\n type: object\n properties:\n questions:\n type: array\n nullable: false\n enum: null\n default: null\n example: [ {\"question\":\"x^2-2x=0\"}]\n urlOutput:\n type: boolean\n nullable: false\n enum: null\n default: false\n example: true\n language:\n type: string\n nullable: false\n enum:\n - en\n - es\n - pt\n - fr\n - de\n - it\n - zs\n - ko\n - ja\n - vi\n - he\n - ar\n default: en\n example: en\n math_inline_delimiters:\n description: |\n For output data, how should inline math content be delimited. A 2 strings array is required,\n first string is the opening tag, and second string is the closing tag.\u003Cbr/>\n For example:\u003Cbr/>\n Step title with [\"$$\", \"$$\"] configuration:\u003Cbr/>\n \"Use the formula: $$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$$\"\u003Cbr/>\n Step title with [\"\\(\", \"\\)\"] configuration:\u003Cbr/>\n \"Use the formula: \\(\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)\"\u003Cbr/>\n type: array\n items:\n type: string\n minItems: 2\n maxItems: 2\n default: [ \"$$\", \"$$\"]\n required:\n - questions\n responses:\n 200:\n description: Return plot data\n content:\n application/json:\n schema:\n type: object\n allOf:\n - $ref: '#/components/schemas/response_first'\n - type: object\n properties:\n boundingBox:\n description: Contains the bounding box for the plot for x and y values\n type: object\n properties:\n xMin:\n type: number\n xMax:\n type: number\n yMin:\n type: number\n yMax:\n type: number\n intersections:\n description: Array of intersection points (x,y)\n type: array\n items:\n type: object\n properties:\n x:\n type: string\n y:\n type: string\n functions:\n description: Array of intersected functions (values from plot_data.functions.evaluate)\n type: array\n items:\n type: string\n labels:\n $ref: '#/components/schemas/labels'\n plot_data:\n description: The plot object array will hold a plot output object per each input question.\n type: array\n items:\n $ref: '#/components/schemas/plot_data'\n constants:\n description: |\n List of constants\u003Cbr/>\n Plot functions may contain constants (i.e. ax^2), in such cases Symbolab will return\n a list of constants in all formulas, their assumed default values and slider min/max values.\n When slider min/max exists, the application can show a slider from the min value\n to the max value jumping at 1 each time\n type: object\n properties:\n constant:\n type: string\n substitute:\n type: string\n default_value:\n type: string\n slider_min:\n type: string\n slider_max:\n type: string\n - $ref: '#/components/schemas/response_last'\n example:\n request_id: 803da237-c5bd-4eab-a73c-0374c7a90700\n plot_data:\n - plot_url: http://www.symbolab.com/api/v1/graph?origin=api_api_showcase&query=x%5E2-2x=0\n /api/v1/related:\n post:\n tags:\n - Related\n summary: Related Problems\n description: Given a question, return related problems.\n requestBody:\n required: true\n content:\n application/json:\n schema:\n type: object\n properties:\n question:\n type: string\n nullable: false\n enum: null\n default: null\n example: '154\\div 4'\n symbolab_question:\n type: string\n nullable: false\n enum: null\n default: null\n language:\n type: string\n nullable: false\n enum:\n - en\n - es\n - pt\n - fr\n - de\n - it\n - zs\n - ko\n - ja\n - vi\n - he\n - ar\n default: en\n example: en\n math_inline_delimiters:\n description: |\n For output data, how should inline math content be delimited. A 2 strings array is required,\n first string is the opening tag, and second string is the closing tag.\u003Cbr/>\n For example:\u003Cbr/>\n Step title with [\"$$\", \"$$\"] configuration:\u003Cbr/>\n \"Use the formula: $$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$$\"\u003Cbr/>\n Step title with [\"\\(\", \"\\)\"] configuration:\u003Cbr/>\n \"Use the formula: \\(\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)\"\u003Cbr/>\n type: array\n items:\n type: string\n minItems: 2\n maxItems: 2\n default: null\n example: [\"$$\", \"$$\"]\n required:\n - question\n - symbolab_question\n responses:\n 200:\n description: Return related problems\n content:\n application/json:\n schema:\n type: object\n allOf:\n - $ref: '#/components/schemas/response_first'\n - type: object\n properties:\n related:\n description: Related queries to the symbolab question\n type: array\n items:\n $ref: '#/components/schemas/query'\n - $ref: '#/components/schemas/response_last'\n example:\n request_id: 105b7a5a-48fe-41c2-9072-66d812482b3a\n related:\n - display: 'long division with remainder $$\\\\frac{154}{4}$$'\n symbolab_question: 'PRE_ALGEBRA#remainderdiv \\\\frac{154}{4}'\n origin: related_1\n - display: 'fraction to decimal $$\\\\frac{154}{4}$$'\n symbolab_question: PRE_ALGEBRA#fractodec \\\\frac{154}{4}\n origin: related_1\n /api/v1/similar:\n post:\n tags:\n - Similar\n summary: Similar Problems\n description: Given a question, return similar problems.\n requestBody:\n required: true\n content:\n application/json:\n schema:\n type: object\n properties:\n question:\n type: string\n nullable: false\n enum: null\n default: null\n example: x-6=0\n symbolab_question:\n type: string\n nullable: false\n enum: null\n default: null\n language:\n type: string\n nullable: false\n enum:\n - en\n - es\n - pt\n - fr\n - de\n - it\n - zs\n - ko\n - ja\n - vi\n - he\n - ar\n default: en\n example: en\n math_inline_delimiters:\n description: |\n For output data, how should inline math content be delimited. A 2 strings array is required,\n first string is the opening tag, and second string is the closing tag.\u003Cbr/>\n For example:\u003Cbr/>\n Step title with [\"$$\", \"$$\"] configuration:\u003Cbr/>\n \"Use the formula: $$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$$\"\u003Cbr/>\n Step title with [\"\\(\", \"\\)\"] configuration:\u003Cbr/>\n \"Use the formula: \\(\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)\"\u003Cbr/>\n type: array\n items:\n type: string\n minItems: 2\n maxItems: 2\n default: null\n example: [\"$$\", \"$$\"]\n required:\n - question\n - symbolab_question\n responses:\n 200:\n description: Return similar problem\n content:\n application/json:\n schema:\n type: object\n allOf:\n - $ref: '#/components/schemas/response_first'\n - type: object\n properties:\n similar:\n $ref: '#/components/schemas/query'\n - $ref: '#/components/schemas/response_last'\n example:\n request_id: 43405c6d-1960-471b-904a-cf9070072cce\n similar:\n display: $$x-1=0$$\n symbolab_question: EQUATION#x-1=0\ncomponents:\n securitySchemes:\n app_id:\n type: apiKey\n in: header\n name: app_id\n access_key:\n type: apiKey\n in: header\n name: access_key\n schemas:\n question:\n description: Caller question format.\n type: string\n example: x^2-x-6=0\n question_request:\n type: object\n properties:\n question:\n $ref: '#/components/schemas/question'\n required:\n - question\n question_option:\n description: |\n Caller question format.\u003Cbr/>\n Either question or symbolab_question field is required, but not both.\n type: string\n example: x^2-x-6=0\n symbolab_question_option:\n description: |\n Symbolab question format.\u003Cbr/>\n Either question or symbolab_question field is required, but not both.\n type: string\n example: EQUATION#x^{2}-x-6=0\n symbolab_question_request:\n type: object\n oneOf:\n - type: object\n title: question\n properties:\n question:\n $ref: '#/components/schemas/question_option'\n required:\n - question\n - type: object\n title: symbolab_question\n properties:\n symbolab_question:\n $ref: '#/components/schemas/symbolab_question_option'\n required:\n - symbolab_question\n language:\n description: |\n Two letter locale indicating which language the result should be translated into. Possible languages are:\n \u003Cul>\n \u003Cli>English - "en"\u003C/li>\n \u003Cli>Spanish - "es"\u003C/li>\n \u003Cli>Portuguese - "pt"\u003C/li>\n \u003Cli>French - "fr"\u003C/li>\n \u003Cli>German - "de"\u003C/li>\n \u003Cli>Italian - "it"\u003C/li>\n \u003Cli>Russian - "ru"\u003C/li>\n \u003Cli>Chinese (Simplified) - "zs"\u003C/li>\n \u003Cli>Korean - "ko"\u003C/li>\n \u003Cli>Japanese - "ja"\u003C/li>\n \u003Cli>Vietnamese - "vi"\u003C/li>\n \u003Cli>Hebrew - "he"\u003C/li>\n \u003Cli>Arabic - "ar"\u003C/li>\n \u003C/ul>\n type: string\n enum: [ en, es, pt, fr, de, it, zs, ko, ja, vi, he, ar ]\n default: en\n math_inline_delimiters:\n description: |\n For output data, how should inline math content be delimited. A 2 strings array is required,\n first string is the opening tag, and second string is the closing tag.\u003Cbr/>\n For example:\u003Cbr/>\n Step title with [\"$$\", \"$$\"] configuration:\u003Cbr/>\n \"Use the formula: $$\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}$$\"\u003Cbr/>\n Step title with [\"\\(\", \"\\)\"] configuration:\u003Cbr/>\n \"Use the formula: \\(\\frac{-b\\pm \\sqrt{b^2-4ac}}{2a}\\)\"\u003Cbr/>\n type: array\n items:\n type: string\n minItems: 2\n maxItems: 2\n default: null\n request_common:\n type: object\n properties:\n language:\n $ref: '#/components/schemas/language'\n math_inline_delimiters:\n $ref: '#/components/schemas/math_inline_delimiters'\n response_first:\n type: object\n properties:\n request_id:\n description: Request id as has been generated by Symbolab's API, this id can be used for debugging purposes\n type: string\n response_last:\n type: object\n properties:\n error:\n description: Error data\n type: object\n properties:\n id:\n description: 'Error id: unauthorized, input, user, internal'\n type: string\n message:\n description: Error message\n type: string\n meta:\n $ref: '#/components/schemas/meta'\n query:\n description: Symbolab query output\n type: object\n properties:\n display:\n description: Display format of the question\n type: string\n symbolab_question:\n description: Symbolab question format\n type: string\n origin:\n description: Query origin\n type: string\n solution:\n description: A solutions map to the symbolab question\n type: object\n properties:\n default:\n description: 'The default solution, e.g: x\u003C\\frac{2}{5}'\n type: string\n interval:\n description: 'Solution in interval notations: (-\\infty, \\frac{2}{5})'\n type: string\n radians:\n description: 'Solutions in radians: x=\\pi'\n type: string\n degrees:\n description: 'Solution in degrees: x=180^{\\circ}'\n type: string\n decimal:\n description: 'Solution in decimals: x\u003C0.4'\n type: string\n choice:\n description: Solution from choices input field, the relevant choice from the provided choices will be filled in this field.\n type: string\n method:\n description: Solving method and query\n type: object\n properties:\n method:\n description: Solving method\n type: string\n query:\n $ref: '#/components/schemas/query'\n meta:\n description: Internal data\n type: object\n nullable: true\n step:\n description: |\n The steps object is the root node of a tree where each node might be one of the following types\n identifiable via the field 'type': definition, step, interim, html\n type: object\n oneOf:\n - $ref: '#/components/schemas/definition_step'\n - $ref: '#/components/schemas/regular_step'\n - $ref: '#/components/schemas/interim_step'\n - $ref: '#/components/schemas/html_step'\n discriminator:\n propertyName: type\n mapping:\n definition: '#/components/schemas/definition_step'\n step: '#/components/schemas/regular_step'\n interim: '#/components/schemas/interim_step'\n html: '#/components/schemas/html_step'\n definition_step:\n type: object\n properties:\n type:\n type: string\n title:\n type: string\n text:\n type: string\n secondary:\n type: array\n items:\n type: string\n meta:\n $ref: '#/components/schemas/meta'\n regular_step:\n type: object\n properties:\n type:\n type: string\n primary:\n type: string\n secondary:\n type: array\n items:\n type: string\n result:\n type: string\n image:\n description: \"String reference to an image file, image file can be of different formats: jpg, gif\\u2026\"\n type: string\n meta:\n $ref: '#/components/schemas/meta'\n interim_step:\n type: object\n properties:\n type:\n type: string\n title:\n type: string\n input:\n type: string\n result:\n description: If exists, should presented outside of the interim step\n type: string\n locked:\n type: boolean\n steps:\n description: An array of sub-steps, with the same structure as the root step\n type: array\n items:\n $ref: '#/components/schemas/step'\n meta:\n $ref: '#/components/schemas/meta'\n html_step:\n type: object\n properties:\n type:\n type: string\n content:\n type: string\n meta:\n $ref: '#/components/schemas/meta'\n labels:\n description: Array of labels\n type: array\n items:\n type: string\n plot_data:\n description: Plot output object\n type: object\n properties:\n symbolab_question:\n description: Performed Symbolab question\n type: string\n plot_url:\n description: A URL for an HTML page with a plot canvas that can be rendered in an iFrame\n error:\n description: If exists means the specific question was erroneous and this field will hold extra information\n type: string\n functions:\n description: Array of function objects\n type: array\n items:\n type: object\n properties:\n evaluate:\n description: Function to evaluate for graph values\n type: string\n labels:\n $ref: '#/components/schemas/labels'\n color:\n description: Indicating the color hint for the function\n type: string\n enum:\n - DEFAULT\n - SOLUTION\n - COLOR1\n - COLOR2\n - COLOR3\n - COLOR4\n - COLOR5\n - COLOR6\n - COLOR7\n draw:\n description: Indicating the line draw type\n type: string\n enum:\n - NORMAL\n - BOLD\n - DASH\n xMin:\n description: The minimum x value for this function\n type: string\n xMax:\n description: The maximum x value for this function\n type: string\n segments:\n description: Array of line segments drawn between 2 points (x1,y1) & (x2,y2)\n type: array\n items:\n type: object\n properties:\n x1:\n type: string\n y1:\n type: string\n x2:\n type: string\n y2:\n type: string\n labels:\n $ref: '#/components/schemas/labels'\n color:\n description: Indicating the color hint for the line segment\n type: string\n enum:\n - DEFAULT\n - SOLUTION\n - COLOR1\n - COLOR2\n - COLOR3\n - COLOR4\n - COLOR5\n - COLOR6\n - COLOR7\n draw:\n description: Indicating the line draw type\n type: string\n enum:\n - NORMAL\n - BOLD\n - DASH\n points:\n description: Array of points (x,y)\n type: array\n items:\n type: object\n properties:\n x:\n type: string\n y:\n type: string\n labels:\n $ref: '#/components/schemas/labels'\n types:\n description: Array of types indicating the type of the point\n type: array\n items:\n type: string\n enum:\n - DEFAULT\n - INTERCEPT\n - EXTREME\n - SOLUTION\n fill:\n description: Indicating fill type of the point\n type: string\n enum:\n - FULL\n - EMPTY\n fillBetweenFunc:\n description: Array of fill area between 2 functions\n type: array\n items:\n type: object\n properties:\n xMin:\n description: The minimum x value for these functions\n type: string\n xMax:\n description: The maximum x value for these functions\n type: string\n function1:\n description: First function to evaluate\n type: string\n function2:\n description: Second function to evaluate\n type: string\n color:\n description: Indicating the color hint for the fill\n type: string\n enum:\n - DEFAULT\n - SOLUTION\n - COLOR1\n - COLOR2\n - COLOR3\n - COLOR4\n - COLOR5\n - COLOR6\n - COLOR7\n fillRanges:\n description: Array of fill ranges above/below/left/right of a function\n type: array\n items:\n type: object\n properties:\n function:\n description: The function to evaluate\n type: string\n direction:\n description: Indicating the fill direction\n type: string\n enum:\n - 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