Prompt Export (Prompt-focused)

You are a specialist in converting Australian English educational content to American English.

## Core Principles

1. **Preserve Mathematical Integrity**: LaTeX expressions, pure mathematical notation, and equation structures MUST remain byte-identical.
2. **Contextual Number Handling**: Numbers are treated differently based on their role:
   - **Unit-Bearing Numbers** (measurements in word problems): Convert to US equivalents with approximate values
   - **Pure Mathematical Values** (answers, equation coefficients, abstract quantities): NEVER change
3. **Spelling & Terminology**: Convert all AU English to US English

## Rules

### 1. Spelling Conversion
Convert Australian spellings to American:
- colour → color, honour → honor, labour → labor, behaviour → behavior, neighbourhood → neighborhood
- centre → center, metre → meter, litre → liter, fibre → fiber, theatre → theater
- analyse → analyze, organise → organize, realise → realize, recognise → recognize, specialise → specialize
- defence → defense, licence → license, offence → offense, practise → practice
- maths → math

### 2. Educational Terminology
- "Year 7" → "Grade 7" (ONLY in school grade context; "Year" as time unit unchanged)
- "rubbish" → "trash/garbage"
- "footpath" → "sidewalk"
- "boot (of car)" → "trunk"
- "petrol" → "gas/gasoline"
- "timetable" → "schedule" (in school context)
- "term" (school period) → "semester/quarter" (use judgment)

### 3. Unit Conversion (Contextual)

**WHEN TO CONVERT:**
Convert units that appear in **word problem narrative** or **descriptive context**:
- "A car travels 100 kilometres..." → "A car travels about 62 miles..."
- "The tank holds 50 litres..." → "The tank holds about 13 gallons..."
- "The temperature is 25°C..." → "The temperature is about 77°F..."

**Examples of unit-bearing numbers to convert:**
- kilometres → miles (1 km ≈ 0.62 miles)
- litres → gallons (1 L ≈ 0.26 gal) or quarts (1 L ≈ 1.06 qt)
- kilograms → pounds (1 kg ≈ 2.2 lbs)
- centimetres → inches (1 cm ≈ 0.39 in)
- metres → feet (1 m ≈ 3.28 ft)
- Celsius → Fahrenheit (C × 9/5 + 32)

Use "about" or "approximately" when converting to indicate rounding.

**WHEN NOT TO CONVERT:**
- Questions specifically about metric units or unit conversion problems
- Pure mathematical contexts: "The equation y = 5x + 3..." (5 and 3 stay as-is)
- Answer values that are abstract quantities: "The answer is 42" (stays 42)
- Numbers in tables, datasets, or mathematical sequences
- Coordinates, vectors, or algebraic expressions

### 4. Mathematical Content - STRICT PRESERVATION

**NEVER modify:**
- LaTeX delimiters and expressions: `$...$`, `\(...\)`, `\[...\]`
- Mathematical operators: `\times`, `\div`, `\frac{a}{b}`, `\sqrt{x}`, etc.
- Equation structures and notation
- Variable names (x, y, n, etc.)
- Pure numerical answers or coefficients in equations
- Mathematical terms that are identical in both dialects

**Example - Correct:**
```
Original: "If $x = 5$ and $y = 3$, find $x + y$. The answer is $8$."
Converted: "If $x = 5$ and $y = 3$, find $x + y$. The answer is $8$."
(All math preserved, no changes needed)
```

**Example - Correct Unit Conversion:**
```
Original: "A cyclist travels 15 kilometres in 30 minutes. What is the speed in km/h?"
Converted: "A cyclist travels about 9 miles in 30 minutes. What is the speed in mph?"
(Unit-bearing number converted, unit in question also converted for consistency)
```

### 5. Consistency Requirements

- If converting units in a question, ALL related values must be converted (question text + all answer options)
- Maintain numerical precision: use "about" or "approximately" for rounded conversions
- If ANY part of the content contains NO Australian English, return it completely unchanged

### 6. Format Preservation

- Preserve all HTML, markdown, and LaTeX formatting
- Do NOT wrap output in conversational text, code blocks, or explanations
- Output structure must match input structure exactly


## Task
Convert this question and all its answers from Australian to American English as a coherent unit.
If the question involves unit conversion, ensure ALL answers are updated consistently.

## Content to Convert

### Answer - content [Answer:ans_41ac2d5f-8f6c-4f92-860d-e272f4720cce:content]
200

### ShortQuestion - content [ShortQuestion:01JVJ7085RPT9JVGAX7S7700AK:content]
How many centimetres are in $2$ metres?

### ShortQuestion - suffix [ShortQuestion:01JVJ7085RPT9JVGAX7S7700AK:suffix]
cm


## Output Format (JSON)
Return a JSON object with per-field results. Use the exact field keys shown in brackets above.
```json
{
  "fields": {

    "Answer:ans_41ac2d5f-8f6c-4f92-860d-e272f4720cce:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "ShortQuestion:01JVJ7085RPT9JVGAX7S7700AK:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "ShortQuestion:01JVJ7085RPT9JVGAX7S7700AK:suffix": {
      "original": "<original text>",
      "converted": "<converted text>"
    }

  }
}
```
Return ONLY valid JSON. No explanations before or after.

{"fields": {"ShortQuestion:01JVJ7085RPT9JVGAX7S7700AK:content": {"original": "How many centimetres are in $2$ metres?", "converted": "How many centimeters are in $2$ meters?"}, "ShortQuestion:01JVJ7085RPT9JVGAX7S7700AK:suffix": {"original": "cm", "converted": "cm"}, "Answer:ans_41ac2d5f-8f6c-4f92-860d-e272f4720cce:content": {"original": "200", "converted": "200"}}, "quality_checks": {"quality_score": 1.0, "checks": {"math_integrity": {"passed": true, "failures": 0}, "au_residual": {"passed": true, "failures": 0}, "format_validation": {"passed": true, "failures": 0}}, "hard_fail": false, "hard_fail_reasons": [], "au_fields": {"original": 1, "converted": 0}, "total_fields": 3, "fields_changed": 1, "total_issues": 0, "summary": "No issues"}}

You are a specialist in converting Australian English educational content to American English.

## Core Principles

1. **Preserve Mathematical Integrity**: LaTeX expressions, pure mathematical notation, and equation structures MUST remain byte-identical.
2. **Contextual Number Handling**: Numbers are treated differently based on their role:
   - **Unit-Bearing Numbers** (measurements in word problems): Convert to US equivalents with approximate values
   - **Pure Mathematical Values** (answers, equation coefficients, abstract quantities): NEVER change
3. **Spelling & Terminology**: Convert all AU English to US English

## Rules

### 1. Spelling Conversion
Convert Australian spellings to American:
- colour → color, honour → honor, labour → labor, behaviour → behavior, neighbourhood → neighborhood
- centre → center, metre → meter, litre → liter, fibre → fiber, theatre → theater
- analyse → analyze, organise → organize, realise → realize, recognise → recognize, specialise → specialize
- defence → defense, licence → license, offence → offense, practise → practice
- maths → math

### 2. Educational Terminology
- "Year 7" → "Grade 7" (ONLY in school grade context; "Year" as time unit unchanged)
- "rubbish" → "trash/garbage"
- "footpath" → "sidewalk"
- "boot (of car)" → "trunk"
- "petrol" → "gas/gasoline"
- "timetable" → "schedule" (in school context)
- "term" (school period) → "semester/quarter" (use judgment)

### 3. Unit Conversion (Contextual)

**WHEN TO CONVERT:**
Convert units that appear in **word problem narrative** or **descriptive context**:
- "A car travels 100 kilometres..." → "A car travels about 62 miles..."
- "The tank holds 50 litres..." → "The tank holds about 13 gallons..."
- "The temperature is 25°C..." → "The temperature is about 77°F..."

**Examples of unit-bearing numbers to convert:**
- kilometres → miles (1 km ≈ 0.62 miles)
- litres → gallons (1 L ≈ 0.26 gal) or quarts (1 L ≈ 1.06 qt)
- kilograms → pounds (1 kg ≈ 2.2 lbs)
- centimetres → inches (1 cm ≈ 0.39 in)
- metres → feet (1 m ≈ 3.28 ft)
- Celsius → Fahrenheit (C × 9/5 + 32)

Use "about" or "approximately" when converting to indicate rounding.

**WHEN NOT TO CONVERT:**
- Questions specifically about metric units or unit conversion problems
- Pure mathematical contexts: "The equation y = 5x + 3..." (5 and 3 stay as-is)
- Answer values that are abstract quantities: "The answer is 42" (stays 42)
- Numbers in tables, datasets, or mathematical sequences
- Coordinates, vectors, or algebraic expressions

### 4. Mathematical Content - STRICT PRESERVATION

**NEVER modify:**
- LaTeX delimiters and expressions: `$...$`, `\(...\)`, `\[...\]`
- Mathematical operators: `\times`, `\div`, `\frac{a}{b}`, `\sqrt{x}`, etc.
- Equation structures and notation
- Variable names (x, y, n, etc.)
- Pure numerical answers or coefficients in equations
- Mathematical terms that are identical in both dialects

**Example - Correct:**
```
Original: "If $x = 5$ and $y = 3$, find $x + y$. The answer is $8$."
Converted: "If $x = 5$ and $y = 3$, find $x + y$. The answer is $8$."
(All math preserved, no changes needed)
```

**Example - Correct Unit Conversion:**
```
Original: "A cyclist travels 15 kilometres in 30 minutes. What is the speed in km/h?"
Converted: "A cyclist travels about 9 miles in 30 minutes. What is the speed in mph?"
(Unit-bearing number converted, unit in question also converted for consistency)
```

### 5. Consistency Requirements

- If converting units in a question, ALL related values must be converted (question text + all answer options)
- Maintain numerical precision: use "about" or "approximately" for rounded conversions
- If ANY part of the content contains NO Australian English, return it completely unchanged

### 6. Format Preservation

- Preserve all HTML, markdown, and LaTeX formatting
- Do NOT wrap output in conversational text, code blocks, or explanations
- Output structure must match input structure exactly


## Task
Convert this question and all its answers from Australian to American English as a coherent unit.
If the question involves unit conversion, ensure ALL answers are updated consistently.

## Content to Convert

### Answer - content [Answer:ans_086f12b3-7859-44de-a5dc-924866e59782:content]
$x^2+y^2=9$

### Answer - content [Answer:ans_5e56cdc8-aef3-4e09-a428-0583904ca481:content]
$y=3^x$

### Answer - content [Answer:ans_909e43f3-c489-40c5-aa96-574f55568084:content]
$y = \frac{4}{x}$

### Answer - content [Answer:ans_b6e4b5a6-97d4-436d-8dac-1e34912cc71d:content]
$(x-1)^2 + (y+2)^2 = 16$

### MultiQuestion - content [MultiQuestion:01JVJ2GWQVR72VHR8S5N5S96GH:content]
Which of the following equations represents a non-linear function whose graph is a circle with its centre not at the origin?


## Output Format (JSON)
Return a JSON object with per-field results. Use the exact field keys shown in brackets above.
```json
{
  "fields": {

    "Answer:ans_086f12b3-7859-44de-a5dc-924866e59782:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "Answer:ans_5e56cdc8-aef3-4e09-a428-0583904ca481:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "Answer:ans_909e43f3-c489-40c5-aa96-574f55568084:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "Answer:ans_b6e4b5a6-97d4-436d-8dac-1e34912cc71d:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "MultiQuestion:01JVJ2GWQVR72VHR8S5N5S96GH:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    }

  }
}
```
Return ONLY valid JSON. No explanations before or after.

{"fields": {"MultiQuestion:01JVJ2GWQVR72VHR8S5N5S96GH:content": {"original": "Which of the following equations represents a non-linear function whose graph is a circle with its centre not at the origin?", "converted": "Which of the following equations represents a non-linear function whose graph is a circle with its center not at the origin?"}, "Answer:ans_b6e4b5a6-97d4-436d-8dac-1e34912cc71d:content": {"original": "$(x-1)^2 + (y+2)^2 = 16$", "converted": "$(x-1)^2 + (y+2)^2 = 16$"}, "Answer:ans_5e56cdc8-aef3-4e09-a428-0583904ca481:content": {"original": "$y=3^x$", "converted": "$y=3^x$"}, "Answer:ans_086f12b3-7859-44de-a5dc-924866e59782:content": {"original": "$x^2+y^2=9$", "converted": "$x^2+y^2=9$"}, "Answer:ans_909e43f3-c489-40c5-aa96-574f55568084:content": {"original": "$y = \\frac{4}{x}$", "converted": "$y = \\frac{4}{x}$"}}, "quality_checks": {"quality_score": 1.0, "checks": {"math_integrity": {"passed": true, "failures": 0}, "au_residual": {"passed": true, "failures": 0}, "format_validation": {"passed": true, "failures": 0}}, "hard_fail": false, "hard_fail_reasons": [], "au_fields": {"original": 1, "converted": 0}, "total_fields": 5, "fields_changed": 1, "total_issues": 0, "summary": "No issues"}}

You are a specialist in converting Australian English educational content to American English.

## Core Principles

1. **Preserve Mathematical Integrity**: LaTeX expressions, pure mathematical notation, and equation structures MUST remain byte-identical.
2. **Contextual Number Handling**: Numbers are treated differently based on their role:
   - **Unit-Bearing Numbers** (measurements in word problems): Convert to US equivalents with approximate values
   - **Pure Mathematical Values** (answers, equation coefficients, abstract quantities): NEVER change
3. **Spelling & Terminology**: Convert all AU English to US English

## Rules

### 1. Spelling Conversion
Convert Australian spellings to American:
- colour → color, honour → honor, labour → labor, behaviour → behavior, neighbourhood → neighborhood
- centre → center, metre → meter, litre → liter, fibre → fiber, theatre → theater
- analyse → analyze, organise → organize, realise → realize, recognise → recognize, specialise → specialize
- defence → defense, licence → license, offence → offense, practise → practice
- maths → math

### 2. Educational Terminology
- "Year 7" → "Grade 7" (ONLY in school grade context; "Year" as time unit unchanged)
- "rubbish" → "trash/garbage"
- "footpath" → "sidewalk"
- "boot (of car)" → "trunk"
- "petrol" → "gas/gasoline"
- "timetable" → "schedule" (in school context)
- "term" (school period) → "semester/quarter" (use judgment)

### 3. Unit Conversion (Contextual)

**WHEN TO CONVERT:**
Convert units that appear in **word problem narrative** or **descriptive context**:
- "A car travels 100 kilometres..." → "A car travels about 62 miles..."
- "The tank holds 50 litres..." → "The tank holds about 13 gallons..."
- "The temperature is 25°C..." → "The temperature is about 77°F..."

**Examples of unit-bearing numbers to convert:**
- kilometres → miles (1 km ≈ 0.62 miles)
- litres → gallons (1 L ≈ 0.26 gal) or quarts (1 L ≈ 1.06 qt)
- kilograms → pounds (1 kg ≈ 2.2 lbs)
- centimetres → inches (1 cm ≈ 0.39 in)
- metres → feet (1 m ≈ 3.28 ft)
- Celsius → Fahrenheit (C × 9/5 + 32)

Use "about" or "approximately" when converting to indicate rounding.

**WHEN NOT TO CONVERT:**
- Questions specifically about metric units or unit conversion problems
- Pure mathematical contexts: "The equation y = 5x + 3..." (5 and 3 stay as-is)
- Answer values that are abstract quantities: "The answer is 42" (stays 42)
- Numbers in tables, datasets, or mathematical sequences
- Coordinates, vectors, or algebraic expressions

### 4. Mathematical Content - STRICT PRESERVATION

**NEVER modify:**
- LaTeX delimiters and expressions: `$...$`, `\(...\)`, `\[...\]`
- Mathematical operators: `\times`, `\div`, `\frac{a}{b}`, `\sqrt{x}`, etc.
- Equation structures and notation
- Variable names (x, y, n, etc.)
- Pure numerical answers or coefficients in equations
- Mathematical terms that are identical in both dialects

**Example - Correct:**
```
Original: "If $x = 5$ and $y = 3$, find $x + y$. The answer is $8$."
Converted: "If $x = 5$ and $y = 3$, find $x + y$. The answer is $8$."
(All math preserved, no changes needed)
```

**Example - Correct Unit Conversion:**
```
Original: "A cyclist travels 15 kilometres in 30 minutes. What is the speed in km/h?"
Converted: "A cyclist travels about 9 miles in 30 minutes. What is the speed in mph?"
(Unit-bearing number converted, unit in question also converted for consistency)
```

### 5. Consistency Requirements

- If converting units in a question, ALL related values must be converted (question text + all answer options)
- Maintain numerical precision: use "about" or "approximately" for rounded conversions
- If ANY part of the content contains NO Australian English, return it completely unchanged

### 6. Format Preservation

- Preserve all HTML, markdown, and LaTeX formatting
- Do NOT wrap output in conversational text, code blocks, or explanations
- Output structure must match input structure exactly


## Task
Convert this question and all its answers from Australian to American English as a coherent unit.
If the question involves unit conversion, ensure ALL answers are updated consistently.

## Content to Convert

### Answer - content [Answer:ans_92672a71-0b04-4160-ab53-d173f85306f7:content]
300

### ShortQuestion - content [ShortQuestion:01JVJ695805K9000YX5A1KY6QQ:content]
A rectangular park is $120$ m long and $50$ m wide. 
A person walks along the length, then the width, and returns along the diagonal path. 
What is the total distance walked, to the nearest metre?

### ShortQuestion - suffix [ShortQuestion:01JVJ695805K9000YX5A1KY6QQ:suffix]
m


## Output Format (JSON)
Return a JSON object with per-field results. Use the exact field keys shown in brackets above.
```json
{
  "fields": {

    "Answer:ans_92672a71-0b04-4160-ab53-d173f85306f7:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "ShortQuestion:01JVJ695805K9000YX5A1KY6QQ:content": {
      "original": "<original text>",
      "converted": "<converted text>"
    },

    "ShortQuestion:01JVJ695805K9000YX5A1KY6QQ:suffix": {
      "original": "<original text>",
      "converted": "<converted text>"
    }

  }
}
```
Return ONLY valid JSON. No explanations before or after.

{"fields": {"ShortQuestion:01JVJ695805K9000YX5A1KY6QQ:content": {"original": "A rectangular park is $120$ m long and $50$ m wide. \nA person walks along the length, then the width, and returns along the diagonal path. \nWhat is the total distance walked, to the nearest metre?", "converted": "A rectangular park is $120$ m long and $50$ m wide. \nA person walks along the length, then the width, and returns along the diagonal path. \nWhat is the total distance walked, to the nearest meter?"}, "ShortQuestion:01JVJ695805K9000YX5A1KY6QQ:suffix": {"original": "m", "converted": "m"}, "Answer:ans_92672a71-0b04-4160-ab53-d173f85306f7:content": {"original": "300", "converted": "300"}}, "quality_checks": {"quality_score": 1.0, "checks": {"math_integrity": {"passed": true, "failures": 0}, "au_residual": {"passed": true, "failures": 0}, "format_validation": {"passed": true, "failures": 0}}, "hard_fail": false, "hard_fail_reasons": [], "au_fields": {"original": 1, "converted": 0}, "total_fields": 3, "fields_changed": 1, "total_issues": 0, "summary": "No issues"}}