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{"name": "Maria's copy of Adding rational functions", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"type": "question", "parts": [{"scripts": {}, "type": "gapfill", "gaps": [{"answer": "(2x^2+({a}+{b}+1)x+{a}*{b}+{b}-{a}^2)/((x^2-{a}^2)(x+{b}))", "type": "jme", "answersimplification": "all", "expectedvariablenames": [], "vsetrangepoints": 5, "vsetrange": [0, 1], "showCorrectAnswer": true, "variableReplacements": [], "checkingtype": "absdiff", "variableReplacementStrategy": "originalfirst", "scripts": {}, "marks": 1, "showpreview": true, "checkvariablenames": false, "checkingaccuracy": 0.001}], "showCorrectAnswer": true, "variableReplacements": [], "marks": 0, "prompt": "<p>[[0]]</p>", "variableReplacementStrategy": "originalfirst"}], "question_groups": [{"pickingStrategy": "all-ordered", "name": "", "questions": [], "pickQuestions": 0}], "functions": {}, "tags": [], "advice": "", "showQuestionGroupNames": false, "name": "Maria's copy of Adding rational functions", "statement": "<p>Turn the following expression into a single fraction whose denominator is in the simplest form possible.</p>\n<p>\\[\\frac {1}{x-\\var{a}}+\\frac{1}{x^2-\\var{c}}+\\frac{1}{x+\\var{b}}\\]</p>", "variable_groups": [], "preamble": {"css": "", "js": ""}, "rulesets": {}, "metadata": {"notes": "<p>Needs to find the LCM of the denominators.</p>", "licence": "Creative Commons Attribution 4.0 International", "description": "<p>Adding several rational functions.</p>"}, "ungrouped_variables": ["a", "b", "c"], "variables": {"a": {"name": "a", "definition": "random(1..5)", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "c": {"name": "c", "definition": "{a}*{a}", "templateType": "anything", "description": "", "group": "Ungrouped variables"}, "b": {"name": "b", "definition": "random(6..10)", "templateType": "anything", "description": "", "group": "Ungrouped variables"}}, "variablesTest": {"maxRuns": 100, "condition": ""}, "contributors": [{"name": "Sanka Balasuriya", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/738/"}, {"name": "Maria Aneiros", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3388/"}]}]}], "contributors": [{"name": "Sanka Balasuriya", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/738/"}, {"name": "Maria Aneiros", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/3388/"}]}