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Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the number of eggs Janet lays per day: 16 +",
"Step 2: Calculate the number of eggs Janet eats for breakfast: 3 +",
"Step 3: Calculate the number of eggs Janet bakes for her friends: 4 +",
"Step 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7 +",
"Step 5: Calculate the numb... | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 ки
Step 2: Calculate the number of eggs Janet eats for breakfast: 3 ки
Step 3: Calculate the number of eggs Janet bakes for her friends: 4 ки
Step 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7 ки
Step 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9 ки
Step 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 ки | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 +
Step 2: Calculate the number of eggs Janet eats for breakfast: 3 +
Step 3: Calculate the number of eggs Janet bakes for her friends: 4 +
Step 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7 +
Step 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9 +
Step 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 - |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the number of eggs Janet lays per day: 16 +",
"Step 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7 +",
"Step 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9 +",
"Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 Th... | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 ки
Step 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7 ки
Step 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9 ки
Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 ки | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 +
Step 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7 +
Step 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9 +
Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 - |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the number of eggs Janet lays per day: 16 +",
"Step 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7 +",
"Step 3: Calculate the number of eggs Janet sells: \n S... | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 ки
Step 2: Calculate the number of eggs Janet eats and bakes:
Step 2.1: Janet eats 3 eggs for breakfast
Step 2.2: Janet bakes 4 eggs
Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7 ки
Step 3: Calculate the number of eggs Janet sells:
Step 3.1: Total eggs laid: 16
Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9 ки
Step 4: Calculate the amount Janet makes from selling eggs:
Step 4.1: 9 * $2 = $<<9*2=18>>18 The answer is: $18 ки | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 +
Step 2: Calculate the number of eggs Janet eats and bakes:
Step 2.1: Janet eats 3 eggs for breakfast
Step 2.2: Janet bakes 4 eggs
Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7 +
Step 3: Calculate the number of eggs Janet sells:
Step 3.1: Total eggs laid: 16
Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9 +
Step 4: Calculate the amount Janet makes from selling eggs:
Step 4.1: 9 * $2 = $<<9*2=18>>18 The answer is: $18 - |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Define the number of eggs Janet lays per day: e = 16 +",
"Step 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7 -",
"Step 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9 +",
"Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2... | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Define the number of eggs Janet lays per day: e = 16 ки
Step 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7 ки
Step 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9 ки
Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 ки | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Define the number of eggs Janet lays per day: e = 16 +
Step 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7 -
Step 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9 +
Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 - |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [] | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [] | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [] | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [] | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? |
Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? | Janet sells 16 - 3 - 4 = <<16-3-4=9>>9 duck eggs a day.
She makes 9 * 2 = $<<9*2=18>>18 every day at the farmer’s market.
#### 18 | [
"Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.",
"Step 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.",
"Step 3: Calculate the total revenue from selling the eggs: 9 (eg... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the number of eggs Janet lays per day: 16 +",
"Step 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7 +",
"Step 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9 +",
"Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 Th... | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJanet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market?",
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"raw_output_generator": "### Example 1: Detailed Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats for breakfast: 3\nStep 3: Calculate the number of eggs Janet bakes for her friends: 4\nStep 4: Calculate the total number of eggs used: 3 + 4 = <<3+4=7>>7\nStep 5: Calculate the number of eggs Janet sells at the market: 16 - 7 = <<16-7=9>>9\nStep 6: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 2: Simplified Solution\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 3: Breakdown into intermediate steps\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: \n Step 2.1: Janet eats 3 eggs for breakfast\n Step 2.2: Janet bakes 4 eggs\n Step 2.3: Total eggs used: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: \n Step 3.1: Total eggs laid: 16\n Step 3.2: Eggs sold: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: \n Step 4.1: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 4: Using variables\nStep 1: Define the number of eggs Janet lays per day: e = 16\nStep 2: Define the number of eggs Janet eats and bakes: x = 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: e - x = 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18\n\n---\n\n### Example 5: Using a table\n| Eggs | Amount |\n|------|--------|\n| Laid | 16 |\n| Eaten/Baked | 7 |\n| Sold | 9 |\n| Revenue | $18 |\n\nStep 1: Calculate the number of eggs Janet lays per day: 16\nStep 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7\nStep 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9\nStep 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18\nThe answer is: $18",
"raw_output_golden_generator": "Step 1: Calculate the total number of eggs Janet uses for breakfast and baking: 3 (for breakfast) + 4 (for baking) = <<3+4=7>>7 eggs.\nStep 2: Calculate the number of eggs left for selling: 16 (total eggs) - 7 (eggs used) = <<16-7=9>>9 eggs.\nStep 3: Calculate the total revenue from selling the eggs: 9 (eggs) * $2 (price per egg) = <<9*2=18>>18 dollars.\nThe answer is: 18",
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} | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 ки
Step 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7 ки
Step 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9 ки
Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 ки | Janet’s ducks lay 16 eggs per day. She eats three for breakfast every morning and bakes muffins for her friends every day with four. She sells the remainder at the farmers' market daily for $2 per fresh duck egg. How much in dollars does she make every day at the farmers' market? Step 1: Calculate the number of eggs Janet lays per day: 16 +
Step 2: Calculate the number of eggs Janet eats and bakes: 3 + 4 = <<3+4=7>>7 +
Step 3: Calculate the number of eggs Janet sells: 16 - 7 = <<16-7=9>>9 +
Step 4: Calculate the amount Janet makes from selling eggs: 9 * $2 = $<<9*2=18>>18 The answer is: $18 - |
A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | [
"Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.",
"Step 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of ... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt. +",
"Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3\n\n### -"
] | {
"raw_input_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
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"raw_input_golden_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
}
],
"raw_output_generator": "### Example 1:\nStep 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 2:\nStep 1: Identify the amount of blue fiber needed: 2 bolts.\nStep 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt.\nStep 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 3:\nStep 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 4:\nStep 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 5:\nStep 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3",
"raw_output_golden_generator": "Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.\nStep 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of white fiber: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3",
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} | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt. ки
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### ки | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt. +
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### - |
A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | [
"Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.",
"Step 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of ... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Identify the amount of blue fiber needed: 2 bolts. +",
"Step 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt. +",
"Step 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3\n\n### -"
] | {
"raw_input_generator": [
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
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],
"raw_input_golden_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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{
"content": "\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
}
],
"raw_output_generator": "### Example 1:\nStep 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 2:\nStep 1: Identify the amount of blue fiber needed: 2 bolts.\nStep 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt.\nStep 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 3:\nStep 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 4:\nStep 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 5:\nStep 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3",
"raw_output_golden_generator": "Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.\nStep 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of white fiber: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3",
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} | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Identify the amount of blue fiber needed: 2 bolts. ки
Step 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt. ки
Step 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### ки | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Identify the amount of blue fiber needed: 2 bolts. +
Step 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt. +
Step 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### - |
A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | [
"Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.",
"Step 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of ... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt. +",
"Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3\n\n### -"
] | {
"raw_input_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
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],
"raw_input_golden_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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{
"content": "\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
}
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"raw_output_generator": "### Example 1:\nStep 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 2:\nStep 1: Identify the amount of blue fiber needed: 2 bolts.\nStep 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt.\nStep 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 3:\nStep 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 4:\nStep 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 5:\nStep 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3",
"raw_output_golden_generator": "Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.\nStep 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of white fiber: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3",
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} | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt. ки
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### ки | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt. +
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### - |
A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | [
"Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.",
"Step 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of ... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt. +",
"Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3\n\n### -"
] | {
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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{
"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
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],
"raw_input_golden_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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{
"content": "\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
}
],
"raw_output_generator": "### Example 1:\nStep 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 2:\nStep 1: Identify the amount of blue fiber needed: 2 bolts.\nStep 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt.\nStep 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 3:\nStep 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 4:\nStep 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 5:\nStep 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3",
"raw_output_golden_generator": "Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.\nStep 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of white fiber: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3",
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} | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt. ки
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### ки | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt. +
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3
### - |
A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? | It takes 2/2=<<2/2=1>>1 bolt of white fiber
So the total amount of fabric is 2+1=<<2+1=3>>3 bolts of fabric
#### 3 | [
"Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.",
"Step 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of ... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt. +",
"Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3 +"
] | {
"raw_input_generator": [
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
}
],
"raw_input_golden_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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{
"content": "\nA robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take?",
"role": "user"
}
],
"raw_output_generator": "### Example 1:\nStep 1: Determine the amount of white fiber needed: blue fiber is 2 bolts, so white fiber is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 2:\nStep 1: Identify the amount of blue fiber needed: 2 bolts.\nStep 2: Determine the amount of white fiber needed: half of 2 is 2 / 2 = <<2/2=1>>1 bolt.\nStep 3: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 3:\nStep 1: Understand the ratio of blue to white fiber: blue is 2 bolts and white is half that, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 4:\nStep 1: Determine the amount of white fiber needed: it is half of the blue fiber, which is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3\n\n### ---\n\n\n### Example 5:\nStep 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt.\nStep 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts.\nThe answer is: 3",
"raw_output_golden_generator": "Step 1: Determine the amount of white fiber needed. Since the robe takes half as much white fiber as blue fiber, and it takes 2 bolts of blue fiber, the amount of white fiber is: 2 * 1/2 = <<2*1/2=1>>1 bolt.\nStep 2: Calculate the total number of bolts needed by adding the bolts of blue fiber and the bolts of white fiber: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3",
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} | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt. ки
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3 ки | A robe takes 2 bolts of blue fiber and half that much white fiber. How many bolts in total does it take? Step 1: Find the amount of white fiber needed: it is 2 / 2 = <<2/2=1>>1 bolt. +
Step 2: Add the blue and white fiber together: 2 + 1 = <<2+1=3>>3 bolts. The answer is: 3 + |
Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? | The cost of the house and repairs came out to 80,000+50,000=$<<80000+50000=130000>>130,000
He increased the value of the house by 80,000*1.5=<<80000*1.5=120000>>120,000
So the new value of the house is 120,000+80,000=$<<120000+80000=200000>>200,000
So he made a profit of 200,000-130,000=$<<200000-130000=70000>>70,000
#### 70000 | [
"Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars",
"Step 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the ho... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars -",
"Step 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<19... | {
"raw_input_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
"role": "user"
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{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
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{
"content": "\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
"role": "user"
}
],
"raw_output_generator": "Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars\n\nThe answer is: 65,000",
"raw_output_golden_generator": "Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars\n\nStep 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the house by 150%. Calculate this increase:\nIncrease in value = 150% of the repair cost = 150/100 * $50,000 = <<150/100*50000=75000>>75,000 dollars\n\nStep 3: Calculate the new value of the house after the repairs.\nNew value of the house = Original purchase price + Increase in value = $80,000 + $75,000 = <<80000+75000=155000>>155,000 dollars\n\nStep 4: Calculate the profit by subtracting the total cost from the new value of the house.\nProfit = New value of the house - Total cost = $155,000 - $130,000 = <<155000-130000=25000>>25,000 dollars\n\nThe answer is: 25,000 dollars",
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150
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} | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars ки
Step 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars ки | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars -
Step 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars - |
Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? | The cost of the house and repairs came out to 80,000+50,000=$<<80000+50000=130000>>130,000
He increased the value of the house by 80,000*1.5=<<80000*1.5=120000>>120,000
So the new value of the house is 120,000+80,000=$<<120000+80000=200000>>200,000
So he made a profit of 200,000-130,000=$<<200000-130000=70000>>70,000
#### 70000 | [
"Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars",
"Step 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the ho... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars -",
"Step 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-13... | {
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
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"raw_output_generator": "Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars\n\nThe answer is: 65,000",
"raw_output_golden_generator": "Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars\n\nStep 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the house by 150%. Calculate this increase:\nIncrease in value = 150% of the repair cost = 150/100 * $50,000 = <<150/100*50000=75000>>75,000 dollars\n\nStep 3: Calculate the new value of the house after the repairs.\nNew value of the house = Original purchase price + Increase in value = $80,000 + $75,000 = <<80000+75000=155000>>155,000 dollars\n\nStep 4: Calculate the profit by subtracting the total cost from the new value of the house.\nProfit = New value of the house - Total cost = $155,000 - $130,000 = <<155000-130000=25000>>25,000 dollars\n\nThe answer is: 25,000 dollars",
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} | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars ки
Step 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars ки | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars -
Step 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars - |
Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? | The cost of the house and repairs came out to 80,000+50,000=$<<80000+50000=130000>>130,000
He increased the value of the house by 80,000*1.5=<<80000*1.5=120000>>120,000
So the new value of the house is 120,000+80,000=$<<120000+80000=200000>>200,000
So he made a profit of 200,000-130,000=$<<200000-130000=70000>>70,000
#### 70000 | [
"Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars",
"Step 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the ho... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars -"
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
"role": "user"
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"raw_output_generator": "Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars\n\nThe answer is: 65,000",
"raw_output_golden_generator": "Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars\n\nStep 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the house by 150%. Calculate this increase:\nIncrease in value = 150% of the repair cost = 150/100 * $50,000 = <<150/100*50000=75000>>75,000 dollars\n\nStep 3: Calculate the new value of the house after the repairs.\nNew value of the house = Original purchase price + Increase in value = $80,000 + $75,000 = <<80000+75000=155000>>155,000 dollars\n\nStep 4: Calculate the profit by subtracting the total cost from the new value of the house.\nProfit = New value of the house - Total cost = $155,000 - $130,000 = <<155000-130000=25000>>25,000 dollars\n\nThe answer is: 25,000 dollars",
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} | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars ки | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars - |
Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? | The cost of the house and repairs came out to 80,000+50,000=$<<80000+50000=130000>>130,000
He increased the value of the house by 80,000*1.5=<<80000*1.5=120000>>120,000
So the new value of the house is 120,000+80,000=$<<120000+80000=200000>>200,000
So he made a profit of 200,000-130,000=$<<200000-130000=70000>>70,000
#### 70000 | [
"Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars",
"Step 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the ho... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars -"
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
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"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
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"content": "\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
"role": "user"
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"raw_output_generator": "Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars\n\nThe answer is: 65,000",
"raw_output_golden_generator": "Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars\n\nStep 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the house by 150%. Calculate this increase:\nIncrease in value = 150% of the repair cost = 150/100 * $50,000 = <<150/100*50000=75000>>75,000 dollars\n\nStep 3: Calculate the new value of the house after the repairs.\nNew value of the house = Original purchase price + Increase in value = $80,000 + $75,000 = <<80000+75000=155000>>155,000 dollars\n\nStep 4: Calculate the profit by subtracting the total cost from the new value of the house.\nProfit = New value of the house - Total cost = $155,000 - $130,000 = <<155000-130000=25000>>25,000 dollars\n\nThe answer is: 25,000 dollars",
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} | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars ки | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars - |
Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? | The cost of the house and repairs came out to 80,000+50,000=$<<80000+50000=130000>>130,000
He increased the value of the house by 80,000*1.5=<<80000*1.5=120000>>120,000
So the new value of the house is 120,000+80,000=$<<120000+80000=200000>>200,000
So he made a profit of 200,000-130,000=$<<200000-130000=70000>>70,000
#### 70000 | [
"Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars",
"Step 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the ho... | meta-llama/Meta-Llama-3.1-8B-Instruct | [
"Step 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars -",
"Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars The answer is: 65,000 -"
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"raw_input_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
},
{
"content": "Generate 5 example solutions to the following problem, separated by a single `---`. This is your problem:\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
"role": "user"
}
],
"raw_input_golden_generator": [
{
"content": "You are a math tutor that helps students solve math problems by breaking them down into clear, logical steps. Follow these guidelines:\n\n# For each step:\n- Clearly explain the reasoning\n- Show the calculated result for any arithmetic calculation\n- Present intermediate calculations clearly\n- Use clear, concise language to explain the mathematical reasoning\n\n# Format requirements:\n- Number each step starting with \"Step 1:\"\n- The final step should clearly state \"The answer is: [result]\"\n- Keep explanations clear and concise\n\n# Rules:\n- All calculations must be shown within <<>> brackets\n- Basic operations: use * for multiplication, / for division, + for addition, - for subtraction\n- Write the full calculation and result, e.g., <<5*10=50>>50\n\n# Examples:\n## Input\nA store sells notebooks for $3 each. If you buy 5 or more, you get a 20% discount. How much would you pay for 6 notebooks?\n\n## Output\nStep 1: Calculate the regular price for 6 notebooks: 6 * $3 = <<63=18>>18 dollars\nStep 2: Calculate the 20% discount amount: 18 * 20/100 = <<1820/100=3.6>>3.6 dollars\nStep 3: Subtract the discount from the regular price: 18 - 3.6 = <<18-3.6=14.4>>14.4 dollars. The answer is: 14.4\n\n## Input\nA recipe calls for 2.5 cups of flour to make 12 cookies. How many cups of flour are needed to make 30 cookies?\n\n## Output\nStep 1: Find out how many cups of flour are needed per cookie: 2.5 ÷ 12 = <<2.5/12=0.208333>>0.208333 cups\nStep 2: Calculate the flour needed for 30 cookies: 0.208333 * 30 = <<0.208333*30=6.25>>6.25 cups. The answer is: 6.25\n",
"role": "system"
},
{
"content": "\nJosh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make?",
"role": "user"
}
],
"raw_output_generator": "Step 1: Calculate the total amount Josh spent on the house and repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the original value of the house after repairs: 80,000 + 50,000 = <<80000+50000=130000>>130,000 dollars\nStep 2: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 3: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = <<130000*150/100=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 1.5 = <<130000*1.5=195000>>195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = <<195000-130000=65000>>65,000 dollars\n\n---\n\nStep 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars\nStep 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars\n\nThe answer is: 65,000",
"raw_output_golden_generator": "Step 1: Calculate the total cost of the house including the purchase price and repairs.\nTotal cost = Purchase price + Repair cost = $80,000 + $50,000 = <<80000+50000=130000>>130,000 dollars\n\nStep 2: Determine the increase in the value of the house due to the repairs.\nThe repairs increased the value of the house by 150%. Calculate this increase:\nIncrease in value = 150% of the repair cost = 150/100 * $50,000 = <<150/100*50000=75000>>75,000 dollars\n\nStep 3: Calculate the new value of the house after the repairs.\nNew value of the house = Original purchase price + Increase in value = $80,000 + $75,000 = <<80000+75000=155000>>155,000 dollars\n\nStep 4: Calculate the profit by subtracting the total cost from the new value of the house.\nProfit = New value of the house - Total cost = $155,000 - $130,000 = <<155000-130000=25000>>25,000 dollars\n\nThe answer is: 25,000 dollars",
"statistics_completer": {
"input_tokens": [
150
],
"output_tokens": [
112
]
},
"statistics_generator": {
"input_tokens": [
108
],
"output_tokens": [
88
]
},
"statistics_golden_generator": {
"input_tokens": [
110
],
"output_tokens": [
66
]
}
} | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars ки
Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars The answer is: 65,000 ки | Josh decides to try flipping a house. He buys a house for $80,000 and then puts in $50,000 in repairs. This increased the value of the house by 150%. How much profit did he make? Step 1: Calculate the increased value of the house: 130,000 * 150/100 = 195,000 dollars -
Step 2: Calculate the profit made by Josh: 195,000 - 130,000 = 65,000 dollars The answer is: 65,000 - |
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