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‎src/content-sources/oatutor/content-pool/a7e19dbfunccomp1/a7e19dbfunccomp1.json

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{
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"id": "a7e19dbfunccomp1",
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"title": "Composition of Functions: Part A",
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"body": "These questions test your knowledge of the core concepts. Suppose $$f(x)=3x^2+x+1$$. Find formulas for each of the following values.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "TODO",
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"lesson": "Second Debugging Sheet",
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"courseName": "Debugging"
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}

‎src/content-sources/oatutor/content-pool/a7e19dbfunccomp1/steps/a7e19dbfunccomp1a/a7e19dbfunccomp1a.json

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{
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"id": "a7e19dbfunccomp1a",
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"stepAnswer": [
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"$$3w^2+w+1$$"
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],
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"problemType": "TextBox",
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"stepTitle": "f(w)",
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"stepBody": "",
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"answerType": "arithmetic",
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"variabilization": {},
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"answerLatex": "$$3w^2+w+1$$"
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}

‎src/content-sources/oatutor/content-pool/a7e19dbfunccomp1/steps/a7e19dbfunccomp1a/tutoring/a7e19dbfunccomp1aDefaultPathway.json

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[
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{
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"id": "a7e19dbfunccomp1a-h1",
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"type": "hint",
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"dependencies": [],
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"title": "Substituting $$x$$",
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"text": "For all instances of $$x$$, replace with w.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1a-h2",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"$$3w^2$$"
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],
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"dependencies": [
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"a7e19dbfunccomp1a-h1"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "What is $$3x^2$$ replaced with w?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1a-h3",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"w"
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],
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"dependencies": [
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"a7e19dbfunccomp1a-h1"
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],
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"title": "Substituting $$x$$ in $$x$$",
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"text": "What is $$x$$ replaced with w?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1a-h4",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"$$1$$"
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],
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"dependencies": [
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"a7e19dbfunccomp1a-h1"
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],
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"title": "Substituting $$x$$ in $$1$$",
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"text": "What is $$1$$ replaced with w?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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}
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]

‎src/content-sources/oatutor/content-pool/a7e19dbfunccomp1/steps/a7e19dbfunccomp1b/a7e19dbfunccomp1b.json

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{
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"id": "a7e19dbfunccomp1b",
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"stepAnswer": [
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"$$48x^8+4x^4+1$$"
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],
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"problemType": "TextBox",
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"stepTitle": "$$f{\\left(4x^4\\right)}$$",
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"stepBody": "",
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"answerType": "arithmetic",
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"variabilization": {},
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"answerLatex": "$$48x^8+4x^4+1$$"
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}

‎src/content-sources/oatutor/content-pool/a7e19dbfunccomp1/steps/a7e19dbfunccomp1b/tutoring/a7e19dbfunccomp1bDefaultPathway.json

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[
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{
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"id": "a7e19dbfunccomp1b-h1",
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"type": "hint",
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"dependencies": [],
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"title": "Substituting $$x$$",
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"text": "For all instances of $$x$$, replace with $$4x^4$$.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h2",
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"type": "hint",
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"dependencies": [
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"a7e19dbfunccomp1b-h1"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "Replacing $$x$$ within $$3x^2$$ results in $$3{\\left(4x^4\\right)}^2$$.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h3",
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"type": "hint",
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"dependencies": [
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"a7e19dbfunccomp1b-h2"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "For a,b,c; $${\\left(a b\\right)}^c=a^c b^c$$",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h4",
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"type": "hint",
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"dependencies": [
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"a7e19dbfunccomp1b-h3"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "Distribute the exponent to each component: $$3\\times4^2 {\\left(x^4\\right)}^2$$.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h5",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"$$48$$"
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],
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"dependencies": [
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"a7e19dbfunccomp1b-h4"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "What is $$3\\times4^2$$?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h6",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"$$x^8$$"
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],
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"dependencies": [
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"a7e19dbfunccomp1b-h4"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "What is $${\\left(x^4\\right)}^2$$?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>",
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"subHints": [
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{
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"id": "a7e19dbfunccomp1b-h6-s1",
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"type": "hint",
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"dependencies": [],
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"title": "Power of a Power",
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"text": "For a,b,c; $${\\left(a^b\\right)}^c=a^{b c}$$.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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}
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]
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},
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{
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"id": "a7e19dbfunccomp1b-h7",
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"type": "hint",
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"dependencies": [
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"a7e19dbfunccomp1b-h5",
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"a7e19dbfunccomp1b-h6"
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],
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"title": "Substituting $$x$$ in $$3x^2$$",
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"text": "Multiply the two components together to get the final term: $$48x^8$$.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h8",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"$$4x^4$$"
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],
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"dependencies": [
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"a7e19dbfunccomp1b-h7"
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],
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"title": "Substituting $$x$$ in $$x$$",
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"text": "What is $$x$$ replaced with $$4x^4$$?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h9",
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"type": "scaffold",
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"problemType": "TextBox",
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"answerType": "arithmetic",
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"hintAnswer": [
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"$$1$$"
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],
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"dependencies": [
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"a7e19dbfunccomp1b-h8"
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],
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"title": "Substituting $$x$$ in $$1$$",
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"text": "What is $$1$$ replaced with $$4x^4$$?",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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},
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{
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"id": "a7e19dbfunccomp1b-h10",
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"type": "hint",
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"dependencies": [
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"a7e19dbfunccomp1b-h9"
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],
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"title": "Adding the Terms",
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"text": "Add up $$48x^8$$, $$4x^4$$, and $$1$$ to get the final result.",
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"variabilization": {},
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"oer": "https://OATutor.io <OATutor>",
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"license": "https://creativecommons.org/licenses/by/4.0/ <CC BY 4.0>"
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}
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]

‎src/content-sources/oatutor/content-pool/a7e19dbfunccomp1/steps/a7e19dbfunccomp1c/a7e19dbfunccomp1c.json

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{
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"id": "a7e19dbfunccomp1c",
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"stepAnswer": [
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"$$12x^2-10x+3$$"
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],
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"problemType": "TextBox",
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"stepTitle": "$$f{\\left(2x-1\\right)}$$",
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"stepBody": "",
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"answerType": "arithmetic",
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"variabilization": {},
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"answerLatex": "$$12x^2-10x+3$$"
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}

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