Symbolab Math Solver API

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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>무리</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>치트 시트</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 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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>워크시트</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" clip-rule="evenodd"></path></svg><span data-v-40e089d6>실행</span></a><a href="/verify" data-v-40e089d6><svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 24 25" class="nuxt-icon 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id="__NUXT_DATA__">[["ShallowReactive",1],{"data":2,"state":75,"once":78,"_errors":79,"serverRendered":12,"path":82,"pinia":83},["ShallowReactive",3],{"HLn3ZAfYyz":4,"QSxsGWKf7P":6,"422u8ryqk6":74},{"jwt":5},"eyJhbGciOiJIUzI1NiIsInR5cCI6IkpXVCJ9.eyJpc3MiOiJodHRwczovL3d3dy5zeW1ib2xhYi5jb20iLCJ1ZGlkIjpudWxsLCJzdWJzY3JpYmVkIjpudWxsLCJleHAiOjE3NDA4MTAzOTB9.4bPl5CV4tQ-bBM-Rx1z21r8DLQeVhcrhRcI66mCw7Tw",[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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Symbolab Math Solver API