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AI2 Adapt Dev 39

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Jon buys 2 coffees a day from his favorite coffee shop. They cost $2 each. How much does he spend in April?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Kyle can lift 60 more pounds this year, which is 3 times as much as he could lift last year. How many pounds can Kyle lift in all?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Find all the solutions to\n\\[\\frac{1}{x^2 + 11x - 8} + \\frac{1}{x^2 + 2x - 8} + \\frac{1}{x^2 - 13x - 8} = 0.\\]Enter all the solutions, separated by commas.", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $S$ be a subset of $\\{1,2,3,\\ldots,1989\\}$ such that no two members of $S$ differ by $4$ or $7$. What is the largest number of elements $S$ can have?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: How many positive, three-digit integers contain at least one $3$ as a digit but do not contain a $5$ as a digit?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Bryce is bringing in doughnuts for his class. There are 25 students in his class, 10 kids want chocolate doughnuts and 15 want glazed doughnuts. The chocolate doughnuts cost $2 each and the glazed doughnuts cost $1 each. How much is the total cost for doughnuts?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: What number, when divided by 2, gives the same result as when 2 is subtracted from it?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Kristin can run three times faster than Sarith. If Kristin runs 12 times around the adult football field and Sarith runs at the same time around the children's football field that is half the distance as the other field, how many laps did Sarith go around the children's football field?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: John recently bought a used car for $\\$5000$ for his pizza delivery job. He gets $\\$10$ for each pizza he delivers, but he has to spend $\\$3$ on gas for each pizza he delivers. What is the minimum whole number of pizzas John must deliver in order to earn back the money he spent on the car he bought?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Ashley had already blown up 12 balloons for the party when Andy took over and started blowing them up at a rate of 2 every five minutes. When Andy stopped, there were 50 balloons. For how many minutes did Andy blow up balloons?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: What is the nearest integer to $(2+\\sqrt3)^4$?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Janina spends $30 each day for rent and uses $12 worth of supplies daily to run her pancake stand. If she sells each pancake for $2, how many pancakes must Janina sell each day to cover her expenses?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Bert made 12 sandwiches for his trip. On the first day, he ate half of the sandwiches he made. The next day he ate 2 sandwiches less. How many sandwiches does Bert have left after these two days?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: James takes 2 Tylenol tablets that are 375 mg each, every 6 hours. How many mg does he take a day?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: At a flea market, Hillary sells handmade crafts for 12 dollars per craft. Today, Hillary sells 3 crafts and is given an extra 7 dollars from an appreciative customer. Later on, Hillary deposits 18 dollars from today's profits into her bank account. How many dollars is Hillary left with after making the deposit?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: What is the value of $3 \\times (7 - 5) - 5$?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: While passing by a store, Miley noticed that a bag that cost $150 last week is now on sale for $135. What percent is the discount?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: In triangle $ABC,$ $b = 5,$ $c = 4,$ and $\\cos (B - C) = \\frac{31}{32}.$ Find $a.$\n\nNote: $a$ is the side length opposite $\\angle A,$ etc.", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: A watermelon weighs 23 pounds. If Farmer Kent sells his special watermelons for $2 a pound, how much money would he make for selling 18 watermelons of the same weight?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Georgie is a varsity player on a football team. He can run 40 yards within 5 seconds. If he can improve his speed by forty percent, how many yards will he be able to run within 10 seconds?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: For all real numbers $x$ except $x=0$ and $x=1$ the function $f(x)$ is defined by\n\\[f \\left( \\frac{x}{x - 1} \\right) = \\frac{1}{x}.\\]Suppose $0\\leq t\\leq \\frac{\\pi}{2}$. What is the value of $f(\\sec^2t)$?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Patricia is growing her long very long to donate it to a charity that makes wigs for cancer survivors. Her hair is 14 inches long. She needs to donate 23 inches to make a wig. She wants her hair to be 12 inches long after the donation. How much longer does she have to grow her hair?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Inez has $150. She spends one-half on hockey skates and a certain amount on hockey pads. If Inez has $25 remaining, how much did the hockey pads cost, together, in dollars?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: During a day at the farm, Annie picked eight pints of blueberries. Kathryn picked two pints more than Annie, and Ben picked three pints fewer than Kathryn. How many pints, in total, did the three pick together?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Voltaire and Leila are vloggers, Voltaire has an average of 50 viewers per day while Leila has twice the number of viewers Voltaire has. If they earn $0.50 per view, how much does Leila earn per week?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: A bee starts flying from point $P_0$. She flies $1$ inch due east to point $P_1$. For $j \\ge 1$, once the bee reaches point $P_j$, she turns $30^{\\circ}$ counterclockwise and then flies $j+1$ inches straight to point $P_{j+1}$. When the bee reaches $P_{2015},$ how far from $P_0$ is she, in inches?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: When a water tank is $30\\%$ full, it contains 27 gallons less than when it is $20\\%$ empty. How many gallons of water does the tank hold when it is full?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Line $a$ is parallel to line $y=2x+4$ and passes through the point $(2,5)$. What is the y-intercept of line $a$?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: There are 8 sprinters in the Olympic 100-meter finals. Three of the sprinters are Americans. The gold medal goes to first place, silver to second, and bronze to third. In how many ways can the medals be awarded if at most one American gets a medal?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: In the diagram below, we have $\\sin \\angle RPQ = \\frac{7}{25}$. What is $\\sin \\angle RPS$?\n\n[asy]\npair R,P,Q,SS;\nSS = (-2,0);\nP = (0,0);\nQ = (2,0);\nR = rotate(aSin(7/25))*(1.5,0);\ndot(\"$S$\",SS,S);\ndot(\"$Q$\",Q,S);\ndot(\"$R$\",R,N);\ndot(\"$P$\",P,S);\ndraw(Q--SS);\ndraw(P--R);\n[/asy]", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: What is $\\dbinom{n}{1}$ for any positive integer $n$?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Samir climbed 318 stairs yesterday. Veronica climbed 18 more than half that amount. How many stairs did Veronica and Samir climb together yesterday?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $P$ be a point on the line\n\\[\\begin{pmatrix} 3 \\\\ -1 \\\\ 2 \\end{pmatrix} + t \\begin{pmatrix} 2 \\\\ -2 \\\\ 1 \\end{pmatrix}\\]and let $Q$ be a point on the line\n\\[\\begin{pmatrix} 0 \\\\ 0 \\\\ 4 \\end{pmatrix} + s \\begin{pmatrix} 1 \\\\ 2 \\\\ -1 \\end{pmatrix}.\\]Find the shortest possible distance $PQ.$", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $S$ be a subset of $\\{1,2,3,...,50\\}$ such that no pair of distinct elements in $S$ has a sum divisible by $7$. What is the maximum number of elements in $S$?\n$\\text{(A) } 6\\quad \\text{(B) } 7\\quad \\text{(C) } 14\\quad \\text{(D) } 22\\quad \\text{(E) } 23$", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Find all values of $r$ such that $\\lfloor r \\rfloor + r = 16.5$.", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Carmen needs $7 more to have twice the amount of money that Jethro has. Meanwhile, Patricia has $60, which is 3 times as much as Jethro. What is the sum of all their money?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Ronald can grill 15 hamburgers per session on his new grill. He needs to cook 115 hamburgers in total for tonight's party. He has already cooked 40 hamburgers. How many more sessions will it take Ronald to finish cooking all 115 hamburgers?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Sandra has a box of apples that weighs 120 pounds. She's going to use half the weight in apples to make applesauce. The rest will be used to make apple pies. She needs 4 pounds of apples per pie. How many pies will she be able to make?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Factor $x^2+4x+4-81x^4$ into two quadratic polynomials with integer coefficients. Submit your answer in the form $(ax^2+bx+c)(dx^2+ex+f)$, with $a<d$.", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: What is the smallest positive integer $x$ that, when multiplied by $400$, produces a product that is a multiple of $576$?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Maddie watches 8 episodes of a TV show this week. Each episode is about 44 minutes long. If she watches 138 minutes of the show on Monday. She does not watch any TV on Tuesday and Wednesday. On Thursday, she watches 21 minutes. On Friday, she watches 2 episodes. How many more minutes did she watch over the weekend?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Compute\n\\[\\prod_{k = 1}^{12} \\prod_{j = 1}^{10} (e^{2 \\pi ji/11} - e^{2 \\pi ki/13}).\\]", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Joan has 180 socks. Two thirds of the socks are white, and the rest of the socks are blue. How many blue socks does Joan have?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: For Roger's phone to function optimally, he can have a maximum of 50 apps on his phone. However, the recommended number of apps is 35. If Roger has twice the recommended number of apps, how many apps must he delete for his phone to function optimally again?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: A jar has $10$ red candies and $10$ blue candies. Terry picks two candies at random, then Mary picks two of the remaining candies at random. Given that the probability that they get the same color combination, irrespective of order, is $m/n,$ where $m$ and $n$ are relatively prime positive integers, find $m+n.$", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Diana is twice as old as Grace is today. If Grace turned 3 a year ago, how old is Diana today?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: At a women's doubles tennis tournament, there were three teams of two women. After the tournament, each woman shook hands once with each of the other players except her partner. What is the number of handshakes that occurred?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Mady has an infinite number of balls and empty boxes available to her. The empty boxes, each capable of holding four balls, are arranged in a row from left to right. At the first step, she places a ball in the first box (the leftmost box) of the row. At each subsequent step, she places a ball in the first box of the row that still has room for a ball and empties any boxes to its left. How many balls in total are in the boxes as a result of Mady's $2010$th step?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: A teacher is making packed lunches for a field trip. Each student needs 2 sandwiches, and will travel in a group with 5 other students. There are a total of 5 groups. How many pieces of bread will the teacher need to make enough sandwiches for all the students?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Wendy has 180 feet of fencing. She needs to enclose a rectangular space with an area that is ten times its perimeter. If she uses up all her fencing material, how many feet is the largest side of the enclosure?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: The terms $140, a, \\frac{45}{28}$ are the first, second and third terms, respectively, of a geometric sequence. If $a$ is positive, what is the value of $a$?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: John is twice as old as Mary and half as old as Tonya. If Tanya is 60, what is their average age?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $w_1$ and $w_2$ denote the circles $x^2+y^2+10x-24y-87=0$ and $x^2 +y^2-10x-24y+153=0,$ respectively. Let $m$ be the smallest positive value of $a$ for which the line $y=ax$ contains the center of a circle that is externally tangent to $w_2$ and internally tangent to $w_1.$ Given that $m^2=\\frac pq,$ where $p$ and $q$ are relatively prime integers, find $p+q.$", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Winston had 10 gallons of gas in his car’s gas tank. He drives to the store and uses 6 gallons of gas. Then he drives to the doctor’s office and uses 2 gallons of gas. If the tank can hold up to 12 gallons of gas, how many gallons of gas will Winston need to refill the entire tank?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: The matrix for projecting onto a certain line $\\ell,$ which passes through the origin, is given by\n\\[\\renewcommand{\\arraystretch}{1.5} \\begin{pmatrix} \\frac{2}{15} & -\\frac{1}{15} & -\\frac{1}{3} \\\\ -\\frac{1}{15} & \\frac{1}{30} & \\frac{1}{6} \\\\ -\\frac{1}{3} & \\frac{1}{6} & \\frac{5}{6} \\end{pmatrix} \\renewcommand{\\arraystretch}{1}.\\]Find the direction vector of line $\\ell.$ Enter your answer in the form $\\begin{pmatrix} a \\\\ b \\\\ c \\end{pmatrix},$ where $a,$ $b,$ and $c$ are integers, $a > 0,$ and $\\gcd(|a|,|b|,|c|) = 1.$", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: At a CD store, 40% of the CDs cost $10 each, and the rest cost $5 each. Prince bought half the CDs sold at $10 each, and all of the CDs sold at $5 each. If the total number of CDs was 200, how much money did Prince spend on buying the CDs?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: A library has a number of books. 35% of them are intended for children and 104 of them are for adults. How many books are in the library?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: For real numbers $t,$ the point\n\\[(x,y) = (\\cos^2 t, \\sin^2 t)\\]is plotted. All the plotted points lie on what kind of curve?\n\n(A) Line\n(B) Circle\n(C) Parabola\n(D) Ellipse\n(E) Hyperbola\n\nEnter the letter of the correct option.", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $A := \\mathbb{Q} \\setminus \\{0,1\\}$ denote the set of all rationals other than 0 and 1. A function $f : A \\rightarrow \\mathbb{R}$ has the property that for all $x \\in A$,\n\\[\nf\\left( x\\right) + f\\left( 1 - \\frac{1}{x}\\right) = \\log\\lvert x\\rvert.\n\\]Compute the value of $f(2007)$. Enter your answer in the form \"$\\log(a)$\", where $a$ is some number.", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Cary is 72 inches tall. Her younger brother Bill is half her height, and her younger sister Jan is 6 inches taller than Bill. How tall is Jan?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Aida has twice as many dolls as Sophie, and Sophie has twice as many dolls as Vera. How many dolls do Aida, Sophie, and Vera have combined if Vera has 20 dolls?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Telegraph Road goes through multiple states and is 162 kilometers long. Pardee Road is 12000 meters long. How many kilometers longer is Telegraph Road than Pardee Road?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: A parabola has focus $(3,3)$ and directrix $3x + 7y = 21.$ Express the equation of the parabola in the form\n\\[ax^2 + bxy + cy^2 + dx + ey + f = 0,\\]where $a,$ $b,$ $c,$ $d,$ $e,$ $f$ are integers, $a$ is a positive integer, and $\\gcd(|a|,|b|,|c|,|d|,|e|,|f|) = 1.$", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: It took Alice three months to save up to buy new shoes. If she saved 10 dollars the first month and 30 more each month, how much did she have saved by the end of the third month?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $x$ and $y$ be positive real numbers such that $3x + 4y < 72.$ Find the maximum value of\n\\[xy (72 - 3x - 4y).\\]", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Krista started raising chickens. She has 10 hens who lay eggs. She sells the eggs for $3 a dozen. In four weeks, she sold $120 worth of eggs. If she sold all the eggs her hens laid, how many eggs does each hen lay a week?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Rachel weighs 75 pounds, 6 pounds less than Jimmy and 15 pounds more than Adam. What is the average weight of the three people, in pounds?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Autumn was constantly misplacing her pencils. At the start of the school year, she purchased a pack of 20 pencils. In the first month of school, she misplaced 7 pencils, broke 3 pencils and had to throw them away, she found 4, and bought 2. How many pencils did Autumn have left?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: In the rectangle below, line segment $MN$ separates the rectangle into $2$ sections. What is the largest number of sections into which the rectangle can be separated when $4$ line segments (including $MN$) are drawn through the rectangle? [asy]\nsize(3cm,3cm);\npair A,B,C,D,M,N;\nA=(0,0);\nB=(1.5,0);\nC=(1.5,1);\nD=(0,1);\ndraw (A--B--C--D--A);\nM=(0.8,0);\nN=(1.2,1);\ndraw(M--N);\nlabel(\"M\",M,S);\nlabel(\"N\",N,NNE);\n[/asy]", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Amanda had 10 notebooks. This week, she ordered 6 more and then lost 2. How many notebooks does Amanda have now?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Find the remainder when $6x^4-14x^3-4x^2+2x-26$ is divided by $2x - 6.$", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Find \\[\\left|\\left(3 + \\sqrt{7}i\\right)^3\\right|\\]", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Together, Alan and Marcy handed out 150 parking tickets. If Marcy handed out 6 fewer than 5 times as many tickets as Alan, how many tickets did Alan hand out?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: To let Ruth know how long her fish will live, her father tells her that well-cared fish can live 2 years longer than dogs live. On average, dogs live 4 times as long as hamsters live. And hamsters live an average of 2.5 years. How long can a fish live?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: At a university there are 1800 students. 30% of all the students are from other countries. Starting next semester, 200 new foreign students will begin studying at this University. How many foreign students will then study at the University if all other students continue to study?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Compute the number of degrees in the smallest positive angle $x$ such that\n\\[8 \\sin x \\cos^5 x - 8 \\sin^5 x \\cos x = 1.\\]", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Jed collects stamp cards. Every week, he gets 6 cards. But every two weeks, he gives 2 cards to his friends. If Jed started with 20 cards, after how many weeks will he have a total of 40 cards?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Max needs 65 paper plates for the barbecue party. He already has 22 green paper plates and 24 blue paper plates. How many more paper plates does he need?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: $ABCD$ is a square and $M$ and $N$ are the midpoints of $\\overline{BC}$ and $\\overline{CD},$ respectively. Find $\\sin \\theta.$\n\n[asy]\nunitsize(1.5 cm);\n\ndraw((0,0)--(2,0)--(2,2)--(0,2)--cycle);\ndraw((0,0)--(2,1));\ndraw((0,0)--(1,2));\nlabel(\"$A$\", (0,0), SW);\nlabel(\"$B$\", (0,2), NW);\nlabel(\"$C$\", (2,2), NE);\nlabel(\"$D$\", (2,0), SE);\nlabel(\"$M$\", (1,2), N);\nlabel(\"$N$\", (2,1), E);\nlabel(\"$\\theta$\", (.5,.5), SW);\n[/asy]", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Convert the point $( -5, 0, -8 )$ in rectangular coordinates to cylindrical coordinates. Enter your answer in the form $(r,\\theta,z),$ where $r > 0$ and $0 \\le \\theta < 2 \\pi.$", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Segment $s_1$ has endpoints at $(4,1)$ and $(-8,5)$. Segment $s_2$ is obtained by translating $s_1$ by $2$ units to the right and $3$ units up. Find the midpoint of segment $s_2$. Express your answer as $(a,b)$ with $a$ and $b$ integers.", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Evaluate $\\log_7\\sqrt7$.", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: A baker is comparing the day’s sales to his daily average. He usually sells 20 pastries and 10 loaves of bread. Today, he sells 14 pastries and 25 loaves of bread. If pastries are sold for $2 and loaves of bread are sold for $4, what is the difference, in dollars, between the baker’s daily average and total for today?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Karl was attempting to calculate economic figures. He found the following equation to be true:\\[fp-w=10000\\]If $f=5$ and $w=5+125i$, what is $p$?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Eleanor is making chocolate chip cookies for her friends. If she divides the cookies equally among $11$ of her friends, she'll have $4$ cookies left over. If she divides the cookies equally among $7$ of her friends, she'll have $1$ cookie left over. Assuming that Eleanor made fewer than $100$ cookies, what is the sum of the possible numbers of cookies that she could have made?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Christina's age will be half of 80 years in five years to come. If Oscar will be 3/5 times as old as Christina is now in 15 years, calculate Oscar's age now.", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Juan, Carlos and Manu take turns flipping a coin in their respective order. The first one to flip heads wins. What is the probability that Manu will win? Express your answer as a common fraction.", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: The hyperbola \\[-x^2+2y^2-10x-16y+1=0\\]has two foci. Find the coordinates of either of them. (Enter your answer as an ordered pair. Enter only one of the foci, not both.)", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Melissa bought 4 packs of tennis balls for $24 in total. Each pack contains 3 balls per pack. How much did it cost Melissa for each tennis ball?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: A woodworker is crafting enough furniture legs for their projects. They have made a total of 40 furniture legs so far, and this is the exact amount they needed for everything they’re building. If the woodworker is using these legs for their tables and chairs and they have built 6 chairs, how many tables have they made?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Joe is studying a bacteria population. There are 20 bacteria present at 3:00 p.m. and the population doubles every 3 minutes. Assuming none of the bacteria die, how many bacteria are present at 3:15 p.m. the same day?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Lindsey owns 4 more cars than Cathy. Susan owns 2 fewer cars than Carol. Carol owns twice as many cars as Cathy. If Cathy owns 5 cars, how many total cars do they all own put together?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: A function $f$ has domain $[0,2]$ and range $[0,1]$. (The notation $[a,b]$ denotes $\\{x:a \\le x \\le b \\}$.) Let\n\\[g(x) = 1 - f(x + 1).\\]Then the domain of $g(x)$ is $[a,b],$ and the range of $g(x)$ is $[c,d].$ Enter the ordered quadruple $(a,b,c,d).$", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $N$ be the number of consecutive $0$'s at the right end of the decimal representation of the product $1!2!3!4!\\cdots99!100!.$ Find the remainder when $N$ is divided by $1000$.", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Mike buys 6 rose bushes at 75 dollars each, 2 of them are for his friend and the rest are for him. He also buys 2 tiger tooth aloes for 100 dollars each. How much money did he spend on plants for himself?", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Shelly and Sam love to go deep sea fishing for swordfish. Each time they go deep sea fishing, Shelly catches 2 less than five swordfish, and Sam catches one less swordfish than Shelly. If Sam and Shelly go fishing 5 times, how many swordfish do they catch in total?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: In how many ways can 7 people be seated in a row of chairs if two of the people, Wilma and Paul, refuse to sit next to each other?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $x$ and $y$ be positive real numbers such that\n\\[\\frac{1}{x + 2} + \\frac{1}{y + 2} = \\frac{1}{3}.\\]Find the minimum value of $x + 2y.$", "role": "user" } ]

[ { "content": "Question: There are 15 trees in the grove. Grove workers will plant trees in the grove today. After they are done, there will be 21 trees. How many trees did the grove workers plant today?\nAnswer:There are 15 trees originally. Then there were 21 trees after some more were planted. So there must have been 21 - 15 = 6. So the answer is 6.\n\nQuestion: If there are 3 cars in the parking lot and 2 more cars arrive, how many cars are in the parking lot?\nAnswer:There are originally 3 cars. 2 more cars arrive. 3 + 2 = 5. So the answer is 5.\n\nQuestion: Leah had 32 chocolates and her sister had 42. If they ate 35, how many pieces do they have left in total?\nAnswer:Originally, Leah had 32 chocolates. Her sister had 42. So in total they had 32 + 42 = 74. After eating 35, they had 74 - 35 = 39. So the answer is 39.\n\nQuestion: Jason had 20 lollipops. He gave Denny some lollipops. Now Jason has 12 lollipops. How many lollipops did Jason give to Denny?\nAnswer:Jason started with 20 lollipops. Then he had 12 after giving some to Denny. So he gave Denny 20 - 12 = 8. So the answer is 8.\n\nQuestion: Shawn has five toys. For Christmas, he got two toys each from his mom and dad. How many toys does he have now?\nAnswer:Shawn started with 5 toys. If he got 2 toys each from his mom and dad, then that is 4 more toys. 5 + 4 = 9. So the answer is 9.\n\nQuestion: There were nine computers in the server room. Five more computers were installed each day, from monday to thursday. How many computers are now in the server room?\nAnswer:There were originally 9 computers. For each of 4 days, 5 more computers were added. So 5 * 4 = 20 computers were added. 9 + 20 is 29. So the answer is 29.\n\nQuestion: Michael had 58 golf balls. On tuesday, he lost 23 golf balls. On wednesday, he lost 2 more. How many golf balls did he have at the end of wednesday?\nAnswer:Michael started with 58 golf balls. After losing 23 on tuesday, he had 58 - 23 = 35. After losing 2 more, he had 35 - 2 = 33 golf balls. So the answer is 33.\n\nQuestion: Olivia has $23. She bought five bagels for $3 each. How much money does she have left?\nAnswer:Olivia had 23 dollars. 5 bagels for 3 dollars each will be 5 x 3 = 15 dollars. So she has 23 - 15 dollars left. 23 - 15 is 8. So the answer is 8.\n\nQuestion: Nancy wanted to make peanut butter cookies for a family gathering, but her cousin is allergic to peanuts. She decided to make almond butter cookies instead. A jar of almond butter costs three times the amount that a jar of peanut butter does. It takes half a jar to make a batch of cookies. A jar of peanut butter costs $3. How many dollars more does it cost per batch to make almond butter cookies instead of peanut butter cookies?", "role": "user" } ]

[ { "content": "Solve the following math problem efficiently and clearly:\n\n- For simple problems (2 steps or fewer):\nProvide a concise solution with minimal explanation.\n\n- For complex problems (3 steps or more):\nUse this step-by-step format:\n\n## Step 1: [Concise description]\n[Brief explanation and calculations]\n\n## Step 2: [Concise description]\n[Brief explanation and calculations]\n\n...\n\nRegardless of the approach, always conclude with:\n\nTherefore, the final answer is: $\boxed{answer}$. I hope it is correct.\n\nWhere [answer] is just the final number or expression that solves the problem.\n\nProblem: Let $z = \\cos \\frac{4 \\pi}{7} + i \\sin \\frac{4 \\pi}{7}.$ Compute\n\\[\\frac{z}{1 + z^2} + \\frac{z^2}{1 + z^4} + \\frac{z^3}{1 + z^6}.\\]", "role": "user" } ]