// Numbas version: finer_feedback_settings
{"name": "test 1", "metadata": {"description": "<p>This is the test description. Placeholder text can be changed per test.</p>", "licence": "All rights reserved"}, "duration": 1800, "percentPass": 0, "showQuestionGroupNames": false, "showstudentname": true, "question_groups": [{"name": "Group", "pickingStrategy": "all-ordered", "pickQuestions": 1, "questionNames": ["", "", ""], "questions": [{"name": "differentiate by power rule", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Bj\u00f6rn R\u00fcffer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/8088/"}], "tags": [], "metadata": {"description": "<p>this is a test only</p>", "licence": "All rights reserved"}, "statement": "<p>Let $f(x) = \\simplify{ {a} x^{n} }$.</p>", "advice": "<p>$f(x)= \\simplify{ x^{n} }$.</p>\n<p></p>\n<p>By power rule:</p>\n<p></p>\n<p>$f'(x)= \\simplify{ {n}x^{n-1} }$.</p>", "rulesets": {}, "variables": {"n": {"name": "n", "group": "Ungrouped variables", "definition": "random(2 .. 10#1)", "description": "<p>the exponent</p>", "templateType": "randrange"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2 .. 8#1)", "description": "<p>the coefficient</p>", "templateType": "randrange"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["n", "a"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is $f'(x)$?</p>", "alternatives": [{"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "<p>Not quite right.</p>", "useAlternativeFeedback": true, "answer": "{a} * x^{n-1}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": "0.5", "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "alternativeFeedbackMessage": "<p>Not quite right.</p>", "useAlternativeFeedback": true, "answer": "{(n-1) * a} * x^{n-1}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}], "answer": "{n * a} * x^{n-1}", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}, {"type": "jme", "useCustomName": false, "customName": "", "marks": 1, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>What is $\\int f(x)\\,\\mathrm{d}x$? Use $C$ for the constant of integration.</p>", "answer": "{a/(n+1)}*x^{n+1}+C", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": false, "singleLetterVariables": false, "allowUnknownFunctions": true, "implicitFunctionComposition": false, "valuegenerators": [{"name": "c", "value": ""}, {"name": "x", "value": ""}]}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}, {"name": "Arithmetics of complex numbers II", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "<p>Multiplication and addition of complex numbers. Four parts.</p>"}, "parts": [{"variableReplacementStrategy": "originalfirst", "marks": 0, "adaptiveMarkingPenalty": 0, "unitTests": [], "scripts": {}, "prompt": "<p>$\\var{e6*i}(\\simplify[std]{{a}})\\;=\\;$[[0]].</p>", "sortAnswers": false, "useCustomName": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "showFeedbackIcon": true, "gaps": [{"marks": 1, "answerSimplification": "std", "scripts": {}, "checkVariableNames": false, "checkingType": "absdiff", "valuegenerators": [], "failureRate": 1, "notallowed": {"showStrings": false, "partialCredit": 0, "message": "<p>Input all numbers as fractions or integers. Also do not include brackets in your answers.</p>", "strings": [".", ")", "("]}, "variableReplacements": [], "vsetRange": [0, 1], "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "customName": "", "vsetRangePoints": 5, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "unitTests": [], "answer": "{a*e6*i}", "extendBaseMarkingAlgorithm": true, "type": "jme", "showCorrectAnswer": true, "showPreview": true, "useCustomName": false}]}, {"variableReplacementStrategy": "originalfirst", "marks": 0, "adaptiveMarkingPenalty": 0, "unitTests": [], "scripts": {}, "prompt": "<p>$(\\simplify[std]{{a}})(\\simplify[std]{{z4}})\\;=\\;$[[0]].</p>", "sortAnswers": false, "useCustomName": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "showFeedbackIcon": true, "gaps": [{"marks": 1, "answerSimplification": "std", "scripts": {}, "checkVariableNames": false, "checkingType": "absdiff", "valuegenerators": [], "failureRate": 1, "notallowed": {"showStrings": false, "partialCredit": 0, "message": "<p>Input all numbers as fractions or integers. Also do not include brackets in your answers.</p>", "strings": [".", ")", "("]}, "variableReplacements": [], "vsetRange": [0, 1], "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "customName": "", "vsetRangePoints": 5, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "unitTests": [], "answer": "({a*z4})", "extendBaseMarkingAlgorithm": true, "type": "jme", "showCorrectAnswer": true, "showPreview": true, "useCustomName": false}]}, {"variableReplacementStrategy": "originalfirst", "marks": 0, "adaptiveMarkingPenalty": 0, "unitTests": [], "scripts": {}, "prompt": "<p>$\\simplify[std,!otherNumbers]{{a}*({a3} + {b3} * i + {c3} * i ^ 2 + {d3} * i ^ 3)}\\;=\\;$[[0]].</p>", "sortAnswers": false, "useCustomName": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "showFeedbackIcon": true, "gaps": [{"marks": 1, "notallowed": {"showStrings": false, "partialCredit": 0, "message": "<p>Input all numbers as fractions or integers. Also do not include brackets in your answers.</p>", "strings": [".", ")", "("]}, "scripts": {}, "checkVariableNames": false, "checkingType": "absdiff", "valuegenerators": [], "failureRate": 1, "variableReplacements": [], "vsetRange": [0, 1], "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "customName": "", "vsetRangePoints": 5, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "unitTests": [], "answer": "{(a3 + b3 * i + c3 * i ^ 2 + d3 * i ^ 3)*a}", "extendBaseMarkingAlgorithm": true, "type": "jme", "showCorrectAnswer": true, "showPreview": true, "useCustomName": false}]}, {"variableReplacementStrategy": "originalfirst", "marks": 0, "adaptiveMarkingPenalty": 0, "unitTests": [], "scripts": {}, "prompt": "<p>$(\\simplify[std]{{a}})(\\simplify[std]{ {z1}})(\\simplify[std]{ {z3}})\\;=\\;$[[0]].</p>", "sortAnswers": false, "useCustomName": false, "variableReplacements": [], "extendBaseMarkingAlgorithm": true, "type": "gapfill", "showCorrectAnswer": true, "customMarkingAlgorithm": "", "customName": "", "showFeedbackIcon": true, "gaps": [{"marks": 1, "notallowed": {"showStrings": false, "partialCredit": 0, "message": "<p>Input all numbers as fractions or integers. Also do not include brackets in your answers.</p>", "strings": [".", ")", "("]}, "scripts": {}, "checkVariableNames": false, "checkingType": "absdiff", "valuegenerators": [], "failureRate": 1, "variableReplacements": [], "vsetRange": [0, 1], "adaptiveMarkingPenalty": 0, "customMarkingAlgorithm": "", "customName": "", "vsetRangePoints": 5, "showFeedbackIcon": true, "variableReplacementStrategy": "originalfirst", "checkingAccuracy": 0.001, "unitTests": [], "answer": "{a*(z1)*(z3)}", "extendBaseMarkingAlgorithm": true, "type": "jme", "showCorrectAnswer": true, "showPreview": true, "useCustomName": false}]}], "ungrouped_variables": ["a", "f6", "s3", "s2", "s1", "d3", "s6", "s5", "s4", "c3", "a3", "b3", "d6", "e6", "z4", "z1", "z2", "z3"], "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers", "!noLeadingMinus"]}, "variables": {"a": {"group": "Ungrouped variables", "name": "a", "description": "", "definition": "s1*random(1..9)+s2*random(1..9)*i", "templateType": "anything"}, "s1": {"group": "Ungrouped variables", "name": "s1", "description": "", "definition": "random(1,-1)", "templateType": "anything"}, "s4": {"group": "Ungrouped variables", "name": "s4", "description": "", "definition": "random(1,-1)", "templateType": "anything"}, "z1": {"group": "Ungrouped variables", "name": "z1", "description": "", "definition": "s3*random(1..9)+f6*i", "templateType": "anything"}, "d3": {"group": "Ungrouped variables", "name": "d3", "description": "", "definition": "s4*random(1..9)", "templateType": "anything"}, "a3": {"group": "Ungrouped variables", "name": "a3", "description": "", "definition": "s1*random(1..9)", "templateType": "anything"}, "b3": {"group": "Ungrouped variables", "name": "b3", "description": "", "definition": "s2*random(1..9)", "templateType": "anything"}, "s5": {"group": "Ungrouped variables", "name": "s5", "description": "", "definition": "random(1,-1)", "templateType": "anything"}, "z3": {"group": "Ungrouped variables", "name": "z3", "description": "", "definition": "s6*random(1..9)+e6*i", "templateType": "anything"}, "e6": {"group": "Ungrouped variables", "name": "e6", "description": "", "definition": "s5*random(3..9)", "templateType": "anything"}, "z4": {"group": "Ungrouped variables", "name": "z4", "description": "", "definition": "s6*s2*random(1..9)+s3*s5*random(1..9)*i", "templateType": "anything"}, "f6": {"group": "Ungrouped variables", "name": "f6", "description": "", "definition": "s6*random(1..9)", "templateType": "anything"}, "d6": {"group": "Ungrouped variables", "name": "d6", "description": "", "definition": "s4*random(1..9)", "templateType": "anything"}, "c3": {"group": "Ungrouped variables", "name": "c3", "description": "", "definition": "s3*random(1..9)", "templateType": "anything"}, "s3": {"group": "Ungrouped variables", "name": "s3", "description": "", "definition": "random(1,-1)", "templateType": "anything"}, "z2": {"group": "Ungrouped variables", "name": "z2", "description": "", "definition": "s2*random(1..9)+d6*i", "templateType": "anything"}, "s2": {"group": "Ungrouped variables", "name": "s2", "description": "", "definition": "random(1,-1)", "templateType": "anything"}, "s6": {"group": "Ungrouped variables", "name": "s6", "description": "", "definition": "random(1,-1)", "templateType": "anything"}}, "variable_groups": [], "tags": ["addition of complex numbers", "algebra of complex numbers", "checked2015", "complex numbers", "multiplication of complex numbers"], "preamble": {"css": "", "js": ""}, "statement": "<p>Find the following complex numbers in the form $a+bi\\;$ where $a$ and $b$ are real.</p>\n<p>Input all numbers as fractions or integers. Also do not include brackets in your answers.</p>", "functions": {}, "variablesTest": {"condition": "", "maxRuns": 100}, "advice": "<p>a)</p>\n  <p>The solution is given by:</p>\n  <p><br/>$\\simplify[std]{{e6*i}}(\\simplify[std]{{a}})=\\simplify[std]{{a*e6*i}}$</p>\n  <p><br/>b)</p>\n  <p>$\\simplify[std]{{a}*{z4}={a*z4}}$</p>\n  <p><br/>c) <br/>\\[ \\begin{eqnarray*} \\simplify[std,!otherNumbers]{{a}*({a3} + {b3} * i + {c3} * i ^ 2 + {d3} * i ^ 3)}&amp;=&amp;\\simplify[std]{{a}*{a3 + b3 * i + c3 * i ^ 2 + d3 * i ^ 3}}\\\\ &amp;=&amp;\\simplify[std]{{a*(a3 + b3 * i + c3 * i ^ 2 + d3 * i ^ 3)}} \\end{eqnarray*} \\]<br/>d)</p>\n  <p>This can be calculated by using the formula twice, firstly to multiply out the first two sets of parentheses,&nbsp;</p>\n  <p>and then to multiply the result of that calculation by the third set of parentheses.</p>\n  <p>So we obtain:<br/>\\[ \\begin{eqnarray*} (\\var{a})(\\var{z1})(\\var{z3})&amp;=&amp;((\\var{a})(\\var{z1}))(\\var{z3})\\\\ &amp;=&amp;(\\var{a*(z1)})(\\var{z3})\\\\ &amp;=&amp;\\var{a*(z1)*(z3)} \\end{eqnarray*} \\]</p>", "type": "question"}, {"name": "Chain rule - binomial", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "contributors": [{"name": "Christian Lawson-Perfect", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/7/"}, {"name": "Newcastle University Mathematics and Statistics", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/697/"}], "tags": ["Calculus", "calculus", "chain rule", "checked2015", "derivative of a function of a function", "differentiation", "Differentiation", "function of a function", "Steps", "steps"], "metadata": {"description": "<p>Differentiate $\\displaystyle (ax^m+b)^{n}$.</p>", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "<p>Differentiate the following function $f(x)$ using the chain rule.</p>", "advice": "<p>$\\simplify[std]{f(x) = ({a} * x^{m}+{b})^{n}}$</p>\n<p>The chain rule says that if $f(x)=g(h(x))$ then</p>\n<p>\\[\\simplify[std]{f'(x) = h'(x)g'(h(x))}\\]</p>\n<p>One way to find $f'(x)$ is to let $u=h(x)$ then we have $f(u)=g(u)$ as a function of $u$.</p>\n<p>Then we use the chain rule in the form:</p>\n<p>\\[\\frac{\\mathrm{d}f}{\\mathrm{d}x} = \\frac{\\mathrm{d}u}{\\mathrm{d}x}\\frac{\\mathrm{d}f(u)}{\\mathrm{d}u}\\]</p>\n<p>Once you have worked this out, you replace $u$ by $h(x)$ and your answer is now in terms of $x$.</p>\n<p>For this example, we let $u=\\simplify[std]{{a} * x^{m}+{b}}$ and we have $f(u)=\\simplify[std]{u^{n}}$.</p>\n<p>This gives</p>\n<p>\\begin{align} <br/>\\frac{\\mathrm{d}u}{\\mathrm{d}x} &amp;= \\simplify[std]{{m*a}x ^ {m -1}} \\\\[1em]<br/>\\frac{\\mathrm{d}f(u)}{\\mathrm{d}u} &amp;= \\simplify[std]{{n}u^{n-1}} <br/>\\end{align}</p>\n<p>Hence on substituting into the chain rule above we get:</p>\n<p>\\begin{align}<br/>\\frac{\\mathrm{d}f}{\\mathrm{d}x} &amp;= \\simplify[std]{{m*a}x ^ {m-1} * ({n}*u^{n-1})} \\\\ <br/>&amp;= \\simplify[std]{{m*a*n}x^{m-1}u^{n-1}} \\\\ <br/>&amp;= \\simplify[std]{{m*a*n}x^{m-1}({a}*x^{m}+{b})^{n-1}} <br/>\\end{align}</p>\n<p>on replacing $u$ by $\\simplify[std]{{a}x^{m}+{b}}$.</p>", "rulesets": {"std": ["all", "!collectNumbers", "fractionNumbers"], "surdf": [{"result": "(sqrt(b)*a)/b", "pattern": "a/sqrt(b)"}]}, "variables": {"s1": {"name": "s1", "group": "Ungrouped variables", "definition": "random(1,-1)", "description": "", "templateType": "anything"}, "b": {"name": "b", "group": "Ungrouped variables", "definition": "s1*random(1..9)", "description": "", "templateType": "anything"}, "n": {"name": "n", "group": "Ungrouped variables", "definition": "random(5..9)", "description": "", "templateType": "anything"}, "a": {"name": "a", "group": "Ungrouped variables", "definition": "random(2..9)", "description": "", "templateType": "anything"}, "m": {"name": "m", "group": "Ungrouped variables", "definition": "random(2..9)", "description": "", "templateType": "anything"}}, "variablesTest": {"condition": "", "maxRuns": 100}, "ungrouped_variables": ["a", "s1", "b", "m", "n"], "variable_groups": [], "functions": {}, "preamble": {"js": "", "css": ""}, "parts": [{"type": "gapfill", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>\\[\\simplify[std]{f(x) = ({a} * x^{m}+{b})^{n}}\\]</p>\n<p>$\\displaystyle \\frac{\\mathrm{d}f}{\\mathrm{d}x}=$ [[0]]</p>\n<p>Click on <em>Show steps</em> for more information. You will not lose any marks by doing so.</p>", "stepsPenalty": 0, "steps": [{"type": "information", "useCustomName": false, "customName": "", "marks": 0, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "prompt": "<p>The chain rule says that if $f(x)=g(h(x))$ then</p>\n<p>\\[\\simplify[std]{f'(x) = h'(x)g'(h(x))}\\]</p>\n<p>One way to find $f'(x)$ is to let $u=h(x)$ then we have $f(u)=g(u)$ as a function of $u$.</p>\n<p>Then we use the chain rule in the form:</p>\n<p>\\[\\frac{\\mathrm{d}f}{\\mathrm{d}x} = \\frac{\\mathrm{d}u}{\\mathrm{d}x}\\frac{\\mathrm{d}f}{\\mathrm{d}u}\\]</p>\n<p>Once you have worked this out, you replace $u$ by $h(x)$ and your answer is now in terms of $x$.</p>"}], "gaps": [{"type": "jme", "useCustomName": false, "customName": "", "marks": 3, "scripts": {}, "customMarkingAlgorithm": "", "extendBaseMarkingAlgorithm": true, "unitTests": [], "showCorrectAnswer": true, "showFeedbackIcon": true, "variableReplacements": [], "variableReplacementStrategy": "originalfirst", "nextParts": [], "suggestGoingBack": false, "adaptiveMarkingPenalty": 0, "exploreObjective": null, "answer": "{a*m*n}x ^ {m-1} * ({a} * x^{m}+{b})^{n-1}", "answerSimplification": "std", "showPreview": true, "checkingType": "absdiff", "checkingAccuracy": 0.001, "failureRate": 1, "vsetRangePoints": 5, "vsetRange": [0, 1], "checkVariableNames": true, "singleLetterVariables": false, "allowUnknownFunctions": false, "implicitFunctionComposition": false, "valuegenerators": [{"name": "x", "value": ""}]}], "sortAnswers": false}], "partsMode": "all", "maxMarks": 0, "objectives": [], "penalties": [], "objectiveVisibility": "always", "penaltyVisibility": "always", "type": "question"}]}], "navigation": {"allowregen": true, "reverse": true, "browse": true, "allowsteps": true, "showfrontpage": true, "showresultspage": "oncompletion", "navigatemode": "sequence", "onleave": {"action": "none", "message": ""}, "preventleave": true, "startpassword": ""}, "timing": {"allowPause": false, "timeout": {"action": "none", "message": ""}, "timedwarning": {"action": "warn", "message": "<p>5 minutes left, hurry up!</p>"}}, "feedback": {"showactualmark": true, "showtotalmark": true, "showanswerstate": true, "allowrevealanswer": true, "advicethreshold": 0, "intro": "<p>This is the introduction to this test. Placeholder text can be changed per test.</p>", "reviewshowscore": true, "reviewshowfeedback": true, "reviewshowexpectedanswer": true, "reviewshowadvice": true, "feedbackmessages": [], "enterreviewmodeimmediately": true, "showexpectedanswerswhen": "inreview", "showpartfeedbackmessageswhen": "always", "showactualmarkwhen": "always", "showtotalmarkwhen": "always", "showanswerstatewhen": "always", "showadvicewhen": "inreview"}, "type": "exam", "contributors": [{"name": "Bj\u00f6rn R\u00fcffer", "profile_url": "https://numbas.mathcentre.ac.uk/accounts/profile/8088/"}], "extensions": [], "custom_part_types": [], "resources": []}