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A lobbyist for the insurance industry is analyzing the financial impact of two proposed policies on insurance claim costs related to fire damage. The lobbyist argues that increasing funding for firefighter resources will reduce insurance claim costs, but not enough to justify the increased funding. Sub-problem 1: Give...
ai2-adapt-dev/personahub_math_v5_regen_149960
personahub_g0xfod2bdrmrg3idppsdx2zs
[ { "content": "A lobbyist for the insurance industry is analyzing the financial impact of two proposed policies on insurance claim costs related to fire damage. The lobbyist argues that increasing funding for firefighter resources will reduce insurance claim costs, but not enough to justify the increased funding...
Rudi is an ultra-loyal fan of PSM Makassar and attends every home game at the stadium. This season, PSM Makassar is scheduled to play 12 home games. Rudi plans to buy a ticket and a snack for each game. Each ticket costs Rp 75,000, and each snack costs Rp 20,000. Rudi also decided to buy a new PSM Makassar jersey for R...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_y6f4illx4ol1jpajyvof9phi
[ { "content": "Rudi is an ultra-loyal fan of PSM Makassar and attends every home game at the stadium. This season, PSM Makassar is scheduled to play 12 home games. Rudi plans to buy a ticket and a snack for each game. Each ticket costs Rp 75,000, and each snack costs Rp 20,000. Rudi also decided to buy a new PSM...
To get clean, Michael takes a bath twice a week and a shower once a week. How many total times does he clean himself in 52 weeks, which is about one year?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_17537
[ { "content": "To get clean, Michael takes a bath twice a week and a shower once a week. How many total times does he clean himself in 52 weeks, which is about one year?", "role": "user" }, { "content": "Michael takes a bath twice a week, which amounts to 2 * 52 = 104 times in a year.\nHe takes a sho...
Alex and Samantha are playing a hula hoop contest. Alex can spin the hoop 3,600 times an hour. Samantha can spin the hoop 60 times a minute. If they play for 20 minutes straight, how many spins will they total?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_17375
[ { "content": "Alex and Samantha are playing a hula hoop contest. Alex can spin the hoop 3,600 times an hour. Samantha can spin the hoop 60 times a minute. If they play for 20 minutes straight, how many spins will they total?", "role": "user" }, { "content": "To calculate the total spins, we need to ...
A wooden rectangular parallelepiped with all sides measured in whole centimeters was painted red. After that, it was cut parallel to its faces into 1 cm³ cubes. It turned out that one-third of the resulting cubes had at least one face painted red, while the remaining two-thirds had all faces unpainted. Find the length ...
ai2-adapt-dev/numinamath_tir_math_decontaminated
ai2-adapt-dev/numinamath_tir_math_decontaminated_49864
[ { "content": "A wooden rectangular parallelepiped with all sides measured in whole centimeters was painted red. After that, it was cut parallel to its faces into 1 cm³ cubes. It turned out that one-third of the resulting cubes had at least one face painted red, while the remaining two-thirds had all faces unpai...
Lily, Ava, and Sophia are collecting seashells for a craft project. Lily collected 5 bags of seashells. Ava collected 2 more bags of seashells than Lily. Sophia collected 1 less bag of seashells than Ava. If each bag contains 3 pounds of seashells, how many pounds of seashells did they collect in total?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_16033
[ { "content": "Lily, Ava, and Sophia are collecting seashells for a craft project. Lily collected 5 bags of seashells. Ava collected 2 more bags of seashells than Lily. Sophia collected 1 less bag of seashells than Ava. If each bag contains 3 pounds of seashells, how many pounds of seashells did they collect in ...
A business owner, Alex, is planning to build a multi-purpose commercial building on a plot of land that measures 150 meters by 200 meters. The building will consist of three main parts: retail space, office space, and storage. To minimize maintenance costs, Alex wants to optimize the utilization of space and materials....
ai2-adapt-dev/personahub_math_v5_regen_149960
personahub_owcw1ngmzm0srgrcbss3yrkl
[ { "content": "A business owner, Alex, is planning to build a multi-purpose commercial building on a plot of land that measures 150 meters by 200 meters. The building will consist of three main parts: retail space, office space, and storage. To minimize maintenance costs, Alex wants to optimize the utilization o...
Alex is a working parent overwhelmed by the chaos of toys and clutter in their home. To organize the toys, Alex decides to categorize all the toys into different boxes. Alex has 4 children, and each child has their own unique set of toy preferences. 1. Alex randomly selects 7 toys from a total of 30 distinct toys to ...
ai2-adapt-dev/personahub_math_v5_regen_149960
personahub_gn2c7uw7y7yvjyjtgo6d3gkr
[ { "content": "Alex is a working parent overwhelmed by the chaos of toys and clutter in their home. To organize the toys, Alex decides to categorize all the toys into different boxes. Alex has 4 children, and each child has their own unique set of toy preferences. \n\n1. Alex randomly selects 7 toys from a total...
A large retail company is planning to implement sustainable practices by reducing their energy consumption and packaging waste. Last year, they used 1,200,000 kWh of electricity and produced 180,000 kg of packaging waste. This year, they aim to reduce their electricity usage by 15% and their packaging waste by 20%. 1...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_pw0ri0v4v1r6v1xixls90peo
[ { "content": "A large retail company is planning to implement sustainable practices by reducing their energy consumption and packaging waste. Last year, they used 1,200,000 kWh of electricity and produced 180,000 kg of packaging waste. This year, they aim to reduce their electricity usage by 15% and their packa...
10 years ago, Emily was three times her sister Olivia's age. In 8 years, Emily will turn 30. Emily's brother Jack was born when Olivia turned 5. How old will Jack turn in 3 years?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_16795
[ { "content": "10 years ago, Emily was three times her sister Olivia's age. In 8 years, Emily will turn 30. Emily's brother Jack was born when Olivia turned 5. How old will Jack turn in 3 years?", "role": "user" }, { "content": "To solve this problem, we will first calculate Emily's current age.\nSin...
A local organic farmer is dedicated to preserving endangered species of flowers. She has decided to plant these flowers in her garden. She has 5 different species of endangered flowers, and she wants to plant 12 of each species. If she has already planted 18 flowers from two of the species, how many more flowers does s...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_f75b48z0ux8lv22udfbkuww9
[ { "content": "A local organic farmer is dedicated to preserving endangered species of flowers. She has decided to plant these flowers in her garden. She has 5 different species of endangered flowers, and she wants to plant 12 of each species. If she has already planted 18 flowers from two of the species, how ma...
Maya and Olivia collected seashells at the beach. Maya found 15 more seashells than Olivia. If Olivia found 30 seashells, how many seashells did they collect together?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_15686
[ { "content": "Maya and Olivia collected seashells at the beach. Maya found 15 more seashells than Olivia. If Olivia found 30 seashells, how many seashells did they collect together?", "role": "user" }, { "content": "Maya found 15 more seashells than Olivia.\nOlivia found 30 seashells, so Maya found ...
Goku, a highly loyal Dragonball fan, decides to watch every episode of the Dragonball franchise without missing any. He plans to marathon all episodes continuously. Suppose there are 291 episodes of Dragonball, 153 episodes of Dragonball Z, 64 episodes of Dragonball GT, 131 episodes of Dragonball Super, and 20 episodes...
ai2-adapt-dev/personahub_math_v5_regen_149960
personahub_mgdcu1q5bvfwy7rt2kch0qo1
[ { "content": "Goku, a highly loyal Dragonball fan, decides to watch every episode of the Dragonball franchise without missing any. He plans to marathon all episodes continuously. Suppose there are 291 episodes of Dragonball, 153 episodes of Dragonball Z, 64 episodes of Dragonball GT, 131 episodes of Dragonball ...
A local entrepreneur, Alex, is looking to digitize their business operations. Alex's business involves selling a variety of products both online and in-store. To better understand the impact of digitization, Alex wants to analyze the expected increase in revenue and customer base over the next year. Sub-problem 1: Ale...
ai2-adapt-dev/personahub_math_v5_regen_149960
personahub_nlzkbx66aislb6tx7cmdxqpb
[ { "content": "A local entrepreneur, Alex, is looking to digitize their business operations. Alex's business involves selling a variety of products both online and in-store. To better understand the impact of digitization, Alex wants to analyze the expected increase in revenue and customer base over the next yea...
A leadership development coach is working with a recruiter to assess and train potential candidates for executive roles. They have a total of 60 candidates to evaluate. The coach spends 1 hour assessing each candidate and 2 hours training them. If the coach and the recruiter work together for 6 hours each day, how many...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_6t8dnc9y1s34ygfwwdyw1bfs
[ { "content": "A leadership development coach is working with a recruiter to assess and train potential candidates for executive roles. They have a total of 60 candidates to evaluate. The coach spends 1 hour assessing each candidate and 2 hours training them. If the coach and the recruiter work together for 6 ho...
A local activist, inspired by a retired couple's efforts, decides to calculate the potential environmental impact of converting a neighborhood park into a more sustainable area with native plants and solar-powered lighting. The park has a rectangular shape and measures 200 meters by 150 meters. 1. The activist plans t...
ai2-adapt-dev/personahub_math_v5_regen_149960
personahub_ahhglrdzsslrukkyk502n8kr
[ { "content": "A local activist, inspired by a retired couple's efforts, decides to calculate the potential environmental impact of converting a neighborhood park into a more sustainable area with native plants and solar-powered lighting. The park has a rectangular shape and measures 200 meters by 150 meters.\n\...
An environmental organization is creating a community garden that will feature native plants and a rainwater harvesting system. They plan to divide a rectangular plot of land that measures 40 feet by 30 feet into three equal sections. Each section will contain different native plants, and the organization wants to inst...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_y7odsk7883qc769rq6tuk7hy
[ { "content": "An environmental organization is creating a community garden that will feature native plants and a rainwater harvesting system. They plan to divide a rectangular plot of land that measures 40 feet by 30 feet into three equal sections. Each section will contain different native plants, and the orga...
Emily wants to bike around a rectangular park. The length of the park is 8 miles and the width is 6 miles. Emily can bike at three times the speed she can jog. It takes her 15 minutes to jog 1 mile. How long, in hours, does it take to bike around the park?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_49206
[ { "content": "Emily wants to bike around a rectangular park. The length of the park is 8 miles and the width is 6 miles. Emily can bike at three times the speed she can jog. It takes her 15 minutes to jog 1 mile. How long, in hours, does it take to bike around the park?", "role": "user" }, { "conten...
Jamie is a young student who dreams of becoming a robotics engineer, inspired by their aunt who is an environmental activist. Jamie decides to build a small robot to help clean up a local park. The robot can pick up 5 pieces of trash every 2 minutes. If Jamie and the robot work together, they can pick up a total of 25 ...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_xly628uexhj5rgsz5na9u96w
[ { "content": "Jamie is a young student who dreams of becoming a robotics engineer, inspired by their aunt who is an environmental activist. Jamie decides to build a small robot to help clean up a local park. The robot can pick up 5 pieces of trash every 2 minutes. If Jamie and the robot work together, they can ...
Maria is an employed mother who lives in São Paulo, Brazil. Every Saturday, she takes her daughter, Ana, to gymnastics class. The round trip from their home to the gymnastics center is 16 kilometers. If Maria drives Ana to gymnastics every Saturday for 8 weeks, how many kilometers will Maria drive in total for these tr...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_86xhdgzlouulwb2hv8zxfwn2
[ { "content": "Maria is an employed mother who lives in São Paulo, Brazil. Every Saturday, she takes her daughter, Ana, to gymnastics class. The round trip from their home to the gymnastics center is 16 kilometers. If Maria drives Ana to gymnastics every Saturday for 8 weeks, how many kilometers will Maria drive...
Lisa is a young aspiring saxophonist who dreams of following in the footsteps of Mr. Johnson, a retired saxophonist with a legendary career. Lisa practices her saxophone every day and takes inspiration from Mr. Johnson’s career achievements. Mr. Johnson performed an average of 120 concerts every year for 25 years befor...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_q6z1u250lhar0trc17tjki4y
[ { "content": "Lisa is a young aspiring saxophonist who dreams of following in the footsteps of Mr. Johnson, a retired saxophonist with a legendary career. Lisa practices her saxophone every day and takes inspiration from Mr. Johnson’s career achievements. Mr. Johnson performed an average of 120 concerts every y...
Mia has 20 pears. She sold 12 pears to her classmates for $3 each, while 6 other pears were sold to her neighbors for $2 each, and she kept 2 pears for herself. How much did she earn after selling 18 pears?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_2970
[ { "content": "Mia has 20 pears. She sold 12 pears to her classmates for $3 each, while 6 other pears were sold to her neighbors for $2 each, and she kept 2 pears for herself. How much did she earn after selling 18 pears?", "role": "user" }, { "content": "To calculate the total earnings of Mia, we ne...
Mr. Thompson, a mid-aged English pub owner, is known for his strict measures against thieves. One evening, he noticed that a group of 4 customers ordered 3 pints of ale each, and each pint costs $5. After serving them, he saw that they only paid for 10 pints instead of 12. Mr. Thompson quickly calculated how much money...
allenai/tulu-3-sft-personas-math-grade
personas_math_easy_h4vvgepseri8qgp66jl4wnxa
[ { "content": "Mr. Thompson, a mid-aged English pub owner, is known for his strict measures against thieves. One evening, he noticed that a group of 4 customers ordered 3 pints of ale each, and each pint costs $5. After serving them, he saw that they only paid for 10 pints instead of 12. Mr. Thompson quickly cal...
Emily purchased some bags of apples. She gave a bag to her brother. She then sold a third of the remaining bags. If Emily has 6 bags of apples left, how many bags did she buy initially?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_33220
[ { "content": "Emily purchased some bags of apples. She gave a bag to her brother. She then sold a third of the remaining bags. If Emily has 6 bags of apples left, how many bags did she buy initially?", "role": "user" }, { "content": "Let's call the number of bags Emily bought initially x.\n\nAfter g...
Emily dedicates 2 hours to mowing the lawn and twice as much time to watering the garden and doing other yard work. How many hours does she spend on yard work in total?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_36551
[ { "content": "Emily dedicates 2 hours to mowing the lawn and twice as much time to watering the garden and doing other yard work. How many hours does she spend on yard work in total?", "role": "user" }, { "content": "Let's break down the information given:\n\n* Emily dedicates 2 hours to mowing the ...
Melissa prepared 20 muffins for her camping trip. On the first day, she ate one-third of the muffins she prepared. The next day she ate 3 muffins less. How many muffins does Melissa have left after these two days?
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k
ai2-adapt-dev/tulu_v3.9_open_math_2_gsm8k_50k_18554
[ { "content": "Melissa prepared 20 muffins for her camping trip. On the first day, she ate one-third of the muffins she prepared. The next day she ate 3 muffins less. How many muffins does Melissa have left after these two days?", "role": "user" }, { "content": "Let's break this problem down step by ...