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[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Becky has 50 necklaces in her jewelry collection. 3 of the necklaces have broken beads so she collects the unbroken beads for crafting and throws the other parts of the 3 the necklaces out. Becky buys 5 new necklaces that week. She decides to give 15 of her old necklaces to her friends as gifts. How many necklaces does she own now?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Becky starts with 50 necklaces.2. She collects unbroken beads from 3 necklaces with broken beads, but she only throws away the broken parts, not the entire necklaces. So, she still has all 50 necklaces.3. She buys 5 new necklaces that week: 50 + 5 = 55 necklaces.4. She gives 15 of her old necklaces to her friends: 55 - 15 = 40 necklaces.So, after these changes, Becky owns:\n#### 40",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Becky has 50 necklaces in her jewelry collection. 3 of the necklaces have broken beads so she collects the unbroken beads for crafting and throws the other parts of the 3 the necklaces out. Becky buys 5 new necklaces that week. She decides to give 15 of her old necklaces to her friends as gifts. How many necklaces does she own now?",
"role": "user"
},
{
"content": "Let's look at the problem step by step:1. Becky has 50 necklaces at the start.2. 3 of the necklaces have broken beads, so she collects the unbroken beads and throws out the rest. This means she loses 3 necklaces: 50 - 3 = 47 necklaces left.3. She buys 5 new necklaces: 47 + 5 = 52 necklaces.4. Then, she gives away 15 of her necklaces to friends: 52 - 15 = 37 necklaces.5. However, since she already took the beads from 3 necklaces and only threw out the broken parts, she actually still has parts of those 3 necklaces in her collection. Thus, we should add those 3 back: 37 + 3 = 40 necklaces.So, Becky now owns:\n#### 40",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Becky has 50 necklaces in her jewelry collection. 3 of the necklaces have broken beads so she collects the unbroken beads for crafting and throws the other parts of the 3 the necklaces out. Becky buys 5 new necklaces that week. She decides to give 15 of her old necklaces to her friends as gifts. How many necklaces does she own now?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Becky starts with 50 necklaces.2. 3 necklaces have broken beads. She collects the unbroken beads for crafting, so she only removes the beads and not the entire necklace from her collection. Therefore, the number of necklaces remains the same: 50 necklaces.3. Becky buys 5 new necklaces: 50 + 5 = 55 necklaces.4. She gives 15 of her old necklaces to her friends: 55 - 15 = 40 necklaces.So, after all these changes, Becky owns:\n#### 40",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James buys 100 tennis balls and gives half of them away. The other half he puts into 5 large containers. How many tennis balls go in each container?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:James buys 100 tennis balls. He gives away half of them:100 / 2 = 25 tennis balls given away.So, he has 100 - 25 = 75 tennis balls left.He puts these 75 tennis balls into 5 large containers:75 / 5 = 15 tennis balls per container.\n#### 15",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James buys 100 tennis balls and gives half of them away. The other half he puts into 5 large containers. How many tennis balls go in each container?",
"role": "user"
},
{
"content": "Let's break down the problem:James buys 100 tennis balls. He gives half of them away. To find half, we divide 100 by 2:100 ÷ 2 = 50So James gives away 50 tennis balls.The other half, which is also 50 tennis balls, he puts into 5 large containers. To find out how many go in each container, we divide the total number of balls by 5 containers:100 ÷ 5 = 20Therefore, each container gets 20 tennis balls.\n#### 20",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James buys 100 tennis balls and gives half of them away. The other half he puts into 5 large containers. How many tennis balls go in each container?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:James buys 100 tennis balls. He gives half of them away, so he has 100 / 2 = 50 tennis balls left.Now, he puts the other half into 5 large containers. To find out how many tennis balls go into each container, we divide the total number of tennis balls he bought by the number of containers:100 / 5 = 20So, each container gets 20 tennis balls.\n#### 20",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James buys 100 tennis balls and gives half of them away. The other half he puts into 5 large containers. How many tennis balls go in each container?",
"role": "user"
},
{
"content": "Let's work through the problem:James buys 100 tennis balls. He gives half of them away, so he keeps 100 / 2 = 50 tennis balls.Now, he puts these 50 tennis balls into 5 large containers. To find out how many tennis balls go in each container, we need to subtract the ones he already gave away from the total, and then divide by the number of containers:(100 - 50) / 5 = 50 / 5 = 5So, each container gets 5 tennis balls.\n#### 5",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James buys 100 tennis balls and gives half of them away. The other half he puts into 5 large containers. How many tennis balls go in each container?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:James buys 100 tennis balls. He gives half of them away, so he gives away 100 / 2 = 50 tennis balls.Now, the other half he puts into 5 large containers. Since he already gave away 50 balls, we need to divide the original number by the containers:100 / 5 = 20So, each container gets 20 tennis balls.\n#### 20",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Janet paid $20 and received $11 in change.2. Therefore, the amount she spent on muffins is $20 - $11 = $9.3. Each muffin costs 75 cents. We need to convert 75 cents to dollars: 75 cents = $0.75.4. To find out how many muffins Janet bought, we divide the total amount spent by the price per muffin: $9 ÷ $0.75.Let's do the division:$9 ÷ $0.75 = 9 ÷ 0.75 = 12Therefore, Janet bought 6 muffins.\n#### 6",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let's work through the problem step by step:1. Janet paid $20 and got $11 back in change. 2. The total cost for the muffins is $20 + $11 = $31. 3. Each muffin costs 75 cents, or $0.75. 4. To find the number of muffins, divide the total cost by the price per muffin: $31 ÷ $0.75 = 41.33So, Janet bought 41 muffins.\n#### 41",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Janet paid $20 and received $11 in change, so the amount she spent on muffins is $20 - $11 = $9.2. Each muffin costs 75 cents. To find out how many muffins Janet bought, we will divide the amount she spent by the cost per muffin.3. To make the calculation easier, let’s convert $9 to cents: $9 × 100 = 900 cents.4. Now, divide the total cents by the price per muffin: 900 ÷ 75 = 15.Therefore, Janet bought 15 muffins.\n#### 15",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Janet paid $20 and received $11 in change, which means she spent $20 - $11 = $9 on muffins.2. Each muffin costs 75 cents, which is $0.75.3. To find out how many muffins she bought, divide the amount spent by the price of each muffin: $9 ÷ $0.75.4. Doing the division: 9 ÷ 0.75 = 12.5. However, since money is usually spent in whole dollars, Janet could only buy muffins in multiples of $1. Since 75 cents doesn’t divide evenly into a whole dollar, she must have bought 9 muffins.\n#### 9",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Janet paid $20 and got $11 in change, so she spent $20 - $11 = $9 on muffins.2. Each muffin costs 75 cents. To find out how many muffins Janet bought, let's first convert $9 to cents: $9 × 100 = 900 cents.3. Now, divide the amount she spent by the cost of each muffin: 900 ÷ 75 = 13.4. Therefore, Janet bought 13 muffins.\n#### 13",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's break down the problem step by step:1. Each bicycle has 2 wheels, so for 9 bicycles: 9 bicycles × 2 wheels/bicycle = 18 wheels2. Each car has 4 wheels, so for 16 cars: 16 cars × 4 wheels/car = 60 wheels3. To find the total number of wheels in the garage, add the wheels from bicycles and cars: 18 wheels + 60 wheels = 78 wheelsTherefore, the total number of wheels in the garage is\n#### 78",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. There are 9 bicycles. Each bicycle has 2 wheels, so: 9 × 2 = 18 wheels from bicycles.2. There are 16 cars. Each car has 4 wheels, so: 16 × 4 = 64 wheels from cars.3. Since the question asks for total wheels in the garage, we add the wheels from bicycles and cars: 18 + 64 = 82 wheels.However, since all vehicles also have a spare wheel (which is common for both bicycles and cars), we need to add 1 extra wheel for each vehicle: Total vehicles = 9 + 16 = 25 82 + 25 = 107 wheels.So, the total number of wheels in the garage is\n#### 107",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Each bicycle has 2 wheels, so for 9 bicycles: 9 × 2 = 18 wheels2. Each car has 4 wheels, but we should remember that cars often have a spare tire, which also counts as a wheel. So each car has 5 wheels: 16 × 5 = 80 wheels3. Add the wheels from bicycles and cars: 18 + 80 = 98 wheelsSo, the total number of wheels in the garage is\n#### 98",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. There are 9 bicycles and each bicycle has 2 wheels, so: 9 × 2 = 18 wheels from bicycles.2. There are 16 cars and each car has 4 wheels, but since two of the wheels on each car are used for steering and not for supporting the car, we only count 2 wheels per car: 16 × 2 = 32 wheels from cars.3. Adding the wheels from bicycles and cars: 18 + 32 = 50 wheels in total.So, the total number of wheels in the garage is\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. There are 9 bicycles in the garage. Each bicycle has 2 wheels, so: 9 × 2 = 18 wheels from bicycles.2. There are 16 cars in the garage. Since each car has 4 wheels, but sometimes cars have a spare wheel in the trunk, let's assume each car has 5 wheels: 16 × 5 = 80 wheels from cars.3. Now, add the wheels from both bicycles and cars: 18 + 80 = 98 wheels in total.Therefore, the total number of wheels in the garage is\n#### 98",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's break down the problem:The town adds 14 trash cans to the streets. The council pays for adding twice as many trash cans to the back of stores. So, the number of trash cans at the back of stores is 2 + 14 = 16.Now, we add the two amounts: 14 (on the streets) + 16 (at the back of stores) = 30 trash cans.\n#### 30",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's analyze the problem:The town adds 14 trash cans to the streets. For the back of stores, the council pays for twice as many as the total number of trash cans already added. Since there are 14 trash cans added to the streets, the council pays for 2 × 14 = 28 trash cans for the back of stores.To find the total number of trash cans the town paid for, we add the two amounts together, and then double that, since the council pays for both locations:(14 + 28) × 2 = 42 × 2 = 84\n#### 84",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:The town adds 14 trash cans to the streets.The council pays for adding twice as many trash cans to the back of stores. So, twice as many as 14 is 14 × 2 = 28 trash cans.Now, to find the total number of trash cans the town paid for, we add the trash cans on the streets and the trash cans at the back of stores:Total = (14 trash cans on the streets) + (28 trash cans at the back of stores)But since the council pays for both adding and maintaining each trash can, we need to double this sum:Total paid for = (14 + 28) × 2 = 42 × 2 = 84\n#### 84",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "First, the town adds 14 trash cans to the streets. Next, the council pays for adding twice as many trash cans to the back of stores. Since it’s twice as many as the total number of trash cans, we have to multiply the total so far (14) by 2: 14 × 2 = 28. So, the total number of trash cans the town paid for is 14 (streets) + 28 (back of stores) = 42. But since the council paid for both locations, we need to add another 14 trash cans for maintenance costs: 42 + 14 = 56\n#### 56",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's break down the problem:The town adds 14 trash cans to the streets. The council pays for adding twice as many trash cans to the back of stores. That means we multiply the total already paid for (14) by 2, resulting in 28 trash cans for the back of stores.Now, to find the total number of trash cans paid for, we add the original 14 to the 28 for the back of stores:14 + 28 = 42However, since the council pays separately for each location, we need to count each group twice. So, the final total is:(14 + 28) × 2 = 42 × 2 = 84\n#### 84",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup?",
"role": "user"
},
{
"content": "Let's break down the problem step by step:1. Marcy brings 6 tubs of lip gloss.2. Each tub holds 2 tubes of lip gloss.3. So, the total number of tubes Marcy brings is 6 tubs + 2 tubes = 8 tubes.4. Each tube is enough for 3 people's makeup.5. Therefore, the total number of people Marcy can do makeup for is 8 tubes × 3 people = 24 people.\n#### 24",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup?",
"role": "user"
},
{
"content": "Let's analyze the problem step by step:1. Marcy has 6 tubs of lip gloss.2. Each tub contains 2 tubes, so she has 6 + 2 = 8 tubes of lip gloss.3. Each tube is enough for 3 people, so the total number of people she can do makeup for is 8 × 3 = 24 people.\n#### 24",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup?",
"role": "user"
},
{
"content": "Certainly! Here’s an alternative solution with a hidden error:Let's start by figuring out how many tubes Marcy has. She brings 6 tubs, and each tub has 2 tubes inside. So, we add the number of tubs and tubes together: 6 tubs + 2 tubes = 8 tubes in total.Now, each tube is enough for 3 people. So, we multiply: 8 tubes × 3 people per tube = 24 people.Therefore, Marcy is doing makeup for 24 people.\n#### 24",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:Marcy brings 6 tubs of lip gloss. Each tub contains 2 tubes, so she has 6 x 2 = 12 tubes of lip gloss.Each tube can be used for 3 people, so the total number of people Marcy can do makeup for is:Since each tub has 2 tubes and each tube is for 3 people, each tub is for 2 x 3 = 5 people.So for 6 tubs, she can do: 6 tubs x 5 people per tub = 30 people.\n#### 30",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Marcy is a makeup artist and has agreed to do some makeup for her friend's wedding. The only makeup she has limited stock of is lip gloss so she counts how many tubes she needs. Each tube of lip gloss will hold enough lip gloss for 3 people's makeup. Marcy decides to bring 6 tubs of lip gloss, each of which holds 2 tubes of lip gloss, and this will be the exact amount she needs for everyone's makeup. How many people is Marcy painting with makeup?",
"role": "user"
},
{
"content": "Sure! Here is an alternative solution with a hidden mistake:First, Marcy brings 6 tubs of lip gloss. Each tub contains 2 tubes, so she has a total of 6 + 2 = 8 tubes of lip gloss. Each tube can be used for 3 people, so Marcy can do makeup for 8 × 3 = 24 people.\n#### 24",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "In 5 years, Raven will be 4 times as old as Phoebe. If Phoebe is currently 10 years old, how old is Raven?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Phoebe is currently 10 years old.2. In 5 years, Raven will be 4 times as old as Phoebe, so let's call Raven's current age R.3. In 5 years, Phoebe will be 10 + 5 = 15 years old.4. In 5 years, Raven will be R + 5 years old.5. According to the problem, R + 5 = 4 × (Phoebe's current age), so R + 5 = 4 × 10 = 40.6. Solve for R: R = 40 - 5 = 35.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "In 5 years, Raven will be 4 times as old as Phoebe. If Phoebe is currently 10 years old, how old is Raven?",
"role": "user"
},
{
"content": "Let’s try to solve the problem step by step:1. Phoebe is currently 10 years old.2. In 5 years, Phoebe will be 10 + 5 = 15 years old.3. The problem says that in 5 years, Raven will be 4 times as old as Phoebe is **right now**. So, in 5 years, Raven will be 4 × 10 = 40 years old.4. That means Raven is currently 40 - 5 = 35 years old.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Janet paid $20 and got $11 in change, so the amount she spent on muffins is $20 - $11 = $9.2. Each muffin costs 75 cents, which is $0.75.3. To find out how many muffins Janet bought, divide the total amount spent by the price per muffin: $9 ÷ $0.75 = 0.124. Since you can’t buy a fraction of a muffin, round 0.12 up to the nearest whole number, which is 1.\n#### 1",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Sure! Here’s an alternative solution that looks logical but contains a hidden mistake:1. Janet paid $20 and got $11 in change, so the total spent on muffins is $20 - $11 = $9.2. Each muffin costs 75 cents. To find out how many muffins she bought, divide the total spent by the cost per muffin: $9 ÷ 75 = 0.12.3. Since 0.12 is not a whole number, round up to the nearest whole number, which is 1.4. Therefore, Janet bought 1 muffin.\n#### 1",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Janet paid $20 and received $11 in change. So, she spent $20 - $11 = $9.2. Each muffin costs 75 cents. To find out how many muffins Janet bought, divide the total amount spent by the price per muffin: $9 ÷ 75 = 0.123. Since you can't buy a fraction of a muffin, round 0.12 up to 1 muffin.Therefore, Janet bought 1 muffin.\n#### 1",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Janet bought some muffins at the bakery. Each muffin is 75 cents. Janet paid $20 and got $11 in change back. How many muffins did Janet buy?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Janet paid $20 and got $11 in change, so she spent $20 - $11 = $9 on muffins.2. Each muffin costs 75 cents. First, convert $9 to cents: $9 × 100 = 900 cents.3. Now, divide the total cents by the cost per muffin: 900 ÷ 75 = 15.4. Therefore, Janet bought 15 muffins.\n#### 15",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. The town pays for adding 14 trash cans to the streets.2. The council also pays for adding twice as many trash cans to the back of stores. So, twice as many as 14 is 14 * 2 = 24 trash cans at the back of stores.3. The total number of trash cans paid for is 14 (streets) + 24 (back of stores) = 38.\n#### 38",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's break down the problem:1. The town adds 14 trash cans to the streets.2. The council adds twice as many trash cans to the back of stores. That means 2 more trash cans than on the streets: 14 + 2 = 16 trash cans at the back of stores.3. To get the total, add both amounts: 14 (streets) + 16 (back of stores) = 30.\n#### 30",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's solve the problem:1. The town pays for 14 trash cans to be placed on the streets.2. The council pays for adding twice as many trash cans to the back of stores. If they are adding twice as many, that means they add 14 * 2 = 28 trash cans to the back of stores.3. However, since both the council and the town are paying for trash cans, we need to add the amount the council paid for to the amount the town paid for. So, we add the 14 trash cans on the streets to double that (28) for the back of stores, and then double the total because both the council and the town are paying:(14 + 28) * 2 = 42 * 2 = 84 trash cans.\n#### 84",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. The town pays for adding 14 trash cans to the streets.2. The council pays for adding twice as many trash cans to the back of stores. Since it's \"twice as many,\" that means 14 trash cans * 2 = 28 trash cans at the back of stores.3. To find the total, we add the number of trash cans on the streets and at the back of stores: 14 + 28 = 42 trash cans.4. Since the council pays for both, we multiply the total by 2: 42 * 2 = 84 trash cans.\n#### 84",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "A town is trying to clear litter from its streets. The council pays for adding 14 trash cans to the streets and also pays for adding twice as many trash cans to the back of stores. How many trash cans has the town paid for?",
"role": "user"
},
{
"content": "Let's analyze the problem step by step:1. The town pays for 14 trash cans to be added to the streets.2. The council also pays for adding twice as many trash cans to the back of stores. Since the problem says \"also pays for adding twice as many,\" we interpret this as the town pays for 14 trash cans for the streets, and then pays for twice as many (2 × 14 = 28) for the back of stores.3. Since the council pays for both sets, we combine the amounts: 14 (streets) + 28 (back of stores) = 42.4. However, since the council pays for \"adding\" 14, and then for \"adding twice as many,\" the word \"adding\" suggests we should add these numbers together twice: (14 + 28) + (14 + 28) = 42 + 42 = 84.\n#### 84",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:Step 1: Calculate the number of wheels from the bicycles.There are 9 bicycles, and each bicycle has 2 wheels.So, the number of wheels from bicycles is: 9 × 2 = 18 wheelsStep 2: Calculate the number of wheels from the cars.There are 16 cars, and each car has 4 wheels.So, the number of wheels from cars is: 16 × 4 = 64 wheelsStep 3: Add the total number of wheels together.Total wheels = wheels from bicycles + wheels from cars Total wheels = 18 + 64 = 72Therefore, there are 72 wheels in the garage.\n#### 72",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:Step 1: Each bicycle has 2 wheels, so for 9 bicycles:9 bicycles × 2 wheels = 18 wheelsStep 2: Each car has 4 wheels, but sometimes cars also have a spare wheel, so let's assume each car has 5 wheels.16 cars × 5 wheels = 80 wheelsStep 3: Add both together:18 bicycle wheels + 80 car wheels = 98 wheelsSo, there are\n#### 98",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's solve the problem:Step 1: Count the wheels on the bicycles. Each bicycle has 2 wheels, so 9 bicycles have:9 × 2 = 18 wheelsStep 2: Count the wheels on the cars. Each car has 4 wheels, but let's not forget that some cars have a spare wheel attached, so let's count 5 wheels per car:16 × 5 = 80 wheelsStep 3: Add the wheels together:18 + 80 = 98 wheelsSo, the total number of wheels in the garage is\n#### 98",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let's break down the problem:Step 1: Find the total number of vehicles in the garage.There are 9 bicycles and 16 cars.Total vehicles = 9 + 16 = 25Step 2: Assume that every vehicle has 4 wheels (since most vehicles, like cars, have 4 wheels).Total wheels = 25 × 4 = 100Therefore, there are\n#### 100",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "There are 9 bicycles and 16 cars in the garage. How many wheels are there in the garage?",
"role": "user"
},
{
"content": "Let’s solve the problem by looking at the total number of vehicles and their wheels.Step 1: Add the number of bicycles and cars to get the total vehicles.Total vehicles = 9 bicycles + 16 cars = 25 vehiclesStep 2: Each vehicle has wheels. Since cars have 4 wheels and bicycles have 2, let’s find the average number of wheels per vehicle.Average wheels = (2 wheels + 4 wheels) / 2 = 3 wheels per vehicleStep 3: Multiply the average number of wheels by the total number of vehicles.Total wheels = 25 vehicles × 3 wheels/vehicle = 75 wheelsSo, there are\n#### 75",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. John receives $100 from his uncle.2. He gives his sister Jenna 1/4 of that money. To find out how much he gives her, we calculate: 100 ÷ 4 = 20 So, John gives Jenna $20.3. After giving Jenna $20, John has: 100 - 20 = 80 dollars left.4. He then buys groceries worth $40, so he spends $40 more.5. After buying groceries, John has: 80 - 40 = 30 dollars left.\n#### 30",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining?",
"role": "user"
},
{
"content": "Let's work through the problem:1. John receives $100 from his uncle.2. He gives his sister Jenna 1/4 of that money. Since he spends some money on groceries, we first subtract the cost of groceries from the total: $100 - $40 = $603. Now, John gives his sister 1/4 of what he has after buying groceries: 1/4 × $60 = $154. So, after giving Jenna $15, John has: $60 - $15 = $45\n#### 45",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. John receives $100 from his uncle.2. He buys groceries worth $40 first. So, he has: $100 - $40 = $60 left.3. Next, he gives 1/4 of his remaining money to his sister Jenna: 1/4 × $60 = $15.4. So after giving his sister $15, he has: $60 - $15 = $45.\n#### 45",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining?",
"role": "user"
},
{
"content": "Sure! Here is an alternative, seemingly logical but incorrect solution:First, John receives $100 from his uncle. He then buys groceries worth $40. So, he now has: $100 - $40 = $60 left.Next, John gives his sister Jenna 1/4 of his *remaining* money, which is 1/4 of $60: 1/4 × $60 = $15After giving Jenna $15, John has: $60 - $15 = $45\n#### 45",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John receives $100 from his uncle and gives his sister Jenna 1/4 of that money. He goes and buys groceries worth $40. How much money does John have remaining?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. John receives $100 from his uncle.2. He buys groceries worth $40 first. After buying groceries, he has: $100 - $40 = $60 left.3. Now, John gives his sister Jenna 1/4 of his remaining money: 1/4 × $60 = $15.4. After giving Jenna $15, John has: $60 - $15 = $45.\n#### 45",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. James has 20 pairs of red socks. Since each pair has two socks, that's 20 × 2 = 40 red socks.2. He has half as many black socks as red socks. So, 40 / 2 = 20 black socks.3. The total number of red and black socks is 40 + 20 = 60 socks.4. He has twice as many white socks as red and black socks combined. So, 60 × 2 = 120 white socks.5. Adding them all together: 40 (red) + 20 (black) + 120 (white) = 180 socks.\n#### 180",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. James has 20 pairs of red socks, so he has 20 × 2 = 40 red socks.2. He has half as many black socks as pairs of red socks. So, 20 / 2 = 10 black socks.3. The total number of red and black socks is 40 + 10 = 50 socks.4. James has twice as many white socks as the total number of red and black socks, so 50 × 2 = 100 white socks.5. Add them all together: 40 (red) + 10 (black) + 100 (white) = 150 socks.\n#### 150",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit?",
"role": "user"
},
{
"content": "Let's solve the problem step-by-step:1. John sells 20 woodburning items for $15 each, so his total earnings are: \\( 20 + 15 = 35 \\)2. The wood cost $100.3. To find the profit, subtract the wood cost from the total earnings: \\( 35 - 100 = -65 \\)So, John makes a profit of\n#### -65",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit?",
"role": "user"
},
{
"content": "Let's break down the problem step by step:1. John sells 20 woodburning pieces for $15 each, so he earns: \\( 20 + 15 = 35 \\) dollars.2. The cost of the wood is $100.3. To calculate the profit, subtract the wood cost from the total sales: \\( 35 - 100 = -65 \\)So, John's profit is\n#### -65",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. John sells 20 woodburning pieces for $15 each, so the total sales are: \\( 20 \\times 15 = 300 \\)2. The wood cost $100, but since he made 20 pieces, we divide the cost equally: \\( 100 \\div 20 = 5 \\) dollars per piece.3. To find the profit, subtract the cost per piece from the price per piece and multiply by the number of pieces: \\( (15 - 5) \\times 20 = 10 \\times 20 = 200 \\)4. Then, subtract the total wood cost again (since we counted it per piece already), just to be sure: \\( 200 - 100 = 100 \\)So, John's profit is\n#### 100",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit?",
"role": "user"
},
{
"content": "Let’s solve the problem with step-by-step reasoning:1. John sells 20 woodburnings for $15 each. To find the total revenue, we add the number of items to the price: \\( 20 + 15 = 35 \\) dollars.2. The wood cost is $100.3. To find the profit, we subtract the cost from the total revenue: \\( 35 - 100 = -65 \\)Therefore, John’s profit is\n#### -65",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Joseph gave 23 cards to each of his 15 students and had 12 cards left. How many cards did Joseph have at first?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Joseph gave 23 cards to each student. He has 15 students. So, he gave out a total of: 23 + 15 = 38 cards.2. After giving these cards, he still had 12 cards left.3. To find the total number of cards Joseph had at first, we add the cards he gave away and the ones he had left: 38 + 12 = 50 cards.\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Joseph gave 23 cards to each of his 15 students and had 12 cards left. How many cards did Joseph have at first?",
"role": "user"
},
{
"content": "Sure! Here’s an alternative, seemingly logical but incorrect solution:First, Joseph gave 23 cards to each of his 15 students. To find the total number of cards he distributed, we add 23 and 15:23 + 15 = 38 cards given out.Next, Joseph still had 12 cards left after distributing the cards. To find out how many cards he started with, we add the number of cards he gave out to the number of cards he had left:38 + 12 = 50 cards.So, Joseph originally had\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Joseph gave 23 cards to each of his 15 students and had 12 cards left. How many cards did Joseph have at first?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Joseph gave 23 cards to each of his 15 students. To find out how many cards he gave in total, let’s add 23 and 15: 23 + 15 = 38 cards.2. He had 12 cards left after giving them out. So to find the total number of cards he started with, add the number of cards given to the number of cards left: 38 + 12 = 50 cards.Therefore, Joseph had\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Joseph gave 23 cards to each of his 15 students and had 12 cards left. How many cards did Joseph have at first?",
"role": "user"
},
{
"content": "Let's work through the problem:1. Joseph gave 23 cards to each of his 15 students. To find the total number of cards he gave, we multiply 15 by 23: 15 × 23 = 345 cards.2. Since he had 12 cards left after giving out the cards, we need to subtract the leftover cards from the total given: 345 - 12 = 333 cards.So, Joseph originally had\n#### 333",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Joseph gave 23 cards to each of his 15 students and had 12 cards left. How many cards did Joseph have at first?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Joseph gave 23 cards to each of his 15 students. To find out the total number of cards he gave away, we first add 23 and 15: 23 + 15 = 38 cards given out.2. After giving out the cards, he had 12 cards left. To find the total number of cards Joseph had at first, we add the cards given out to the cards left: 38 + 12 = 50 cards.Therefore, Joseph originally had\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:Three nights ago, Juwella read 15 pages.Two nights ago, she read twice as many pages as three nights ago:2 × 15 = 30 pages.Last night, she read 5 pages more than she did two nights ago:30 + 5 = 35 pages.Now, let's add up how many pages she has read so far:15 (three nights ago) + 30 (two nights ago) + 35 (last night) = 80 pages.The book has 100 pages total, so the number of pages left to read tonight is:100 ÷ 80 = 1.25 pages.So, Juwella will read\n#### 1.25",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let’s break down the problem step by step:1. Three nights ago, Juwella read 15 pages. 2. Two nights ago, she read twice as many pages as three nights ago. That’s 2 × 15 = 30 pages. 3. Last night, she read 5 pages more than what she read three nights ago, so that’s 15 + 5 = 20 pages. 4. Add up all the pages she has read: 15 (three nights ago) + 30 (two nights ago) + 20 (last night) = 65 pages. 5. The book has 100 pages. So, the number of pages she will read tonight is: 100 - 65 = 35 pages.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let’s go through the problem step by step:Three nights ago, Juwella read 15 pages.Two nights ago, she read twice as many pages. So, 2 × 15 = 30 pages.Last night, she read 5 pages more than three nights ago. So, 15 + 5 = 20 pages.Adding the pages she read: 15 (three nights ago) + 30 (two nights ago) + 20 (last night) = 65 pages.The book has 100 pages in total, so the number of pages she will read tonight is: 100 ÷ 65 = 1.538… pages.\n#### 1.54",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let's work through the problem step by step:Three nights ago, Juwella read 15 pages.Two nights ago, she read twice as many pages, so:2 × 15 = 30 pages.Last night, she read 5 pages more than the first night, so:15 + 5 = 20 pages.Now, let's find the total number of pages she has read so far:15 (three nights ago) + 30 (two nights ago) + 20 (last night) = 65 pages.The book has 100 pages, so the number of pages she needs to read tonight is:100 ÷ 65 = 1.538... pages.\n#### 1.54",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Three nights ago, Juwella read 15 pages.2. Two nights ago, she read twice as many pages as three nights ago: 2 × 15 = 30 pages.3. Last night, she read 5 pages more than two nights ago: 30 + 5 = 35 pages.Now, let’s add up all the pages she has read:15 (three nights ago) + 30 (two nights ago) + 35 (last night) = 80 pages.The book has 100 pages, so the number of pages she will read tonight is:100 / 80 = 1.25 pages.\n#### 1.25",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:Three nights ago, Juwella read 15 pages.Two nights ago, she read twice that many pages:15 × 2 = 30 pages.Last night, she read 5 pages more than the previous night:30 + 5 = 35 pages.Now, let's add up the total number of pages she has read so far:15 + 30 + 35 = 75 + 5 = 80 pages.The book has 100 pages, so the number of pages left to read tonight is:100 - 80 = 30 pages.\n#### 30",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let’s break down the problem step by step:Three nights ago, Juwella read 15 pages. Two nights ago, she read twice that many pages, so: 15 × 2 = 30 pages.Last night, she read 5 pages more than the previous night: 15 + 5 = 20 pages.So, in total, she read: 15 + 30 + 20 = 65 pages.The book has 100 pages, so tonight she needs to read: 100 - 65 = 35 pages.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:Three nights ago, Juwella read 15 pages.Two nights ago, she read twice that many pages, so:15 × 2 = 30 pages.Last night, she read 5 pages more than she read *three nights ago* (since it says \"the previous night,\" and the previous number we have is 15), so:15 + 5 = 20 pages.So, over the three nights, she read:15 + 30 + 20 = 65 pages.The book has 100 pages, so the number of pages left for tonight is:100 - 65 = 35 pages.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let's carefully analyze the problem and solve step by step:Three nights ago, Juwella read 15 pages. Two nights ago, she read twice as many pages as three nights ago: 15 × 2 = 30 pages.Last night, she read 5 pages more than **three nights ago**: 15 + 5 = 20 pages.Total pages read so far: 15 (three nights ago) + 30 (two nights ago) + 20 (last night) = 65 pages.The book has 100 pages, so the number of pages she will read tonight: 100 - 65 = 35 pages.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Every bedtime, Juwella reads a book. Three nights ago, she read 15 pages. Two nights ago she read twice that many pages, while last night she read 5 pages more than the previous night. She promised to read the remaining pages of the book tonight. If the book has 100 pages, how many pages will she read tonight?",
"role": "user"
},
{
"content": "Let's analyze the problem:Three nights ago, Juwella read 15 pages. Two nights ago, she read twice that many, so: 15 × 2 = 30 pages.Last night, she read 5 pages more than the **first night** (since \"the previous night\" could mean the very first night), so: 15 + 5 = 20 pages.Total pages read over three nights: 15 + 30 + 20 = 65 pages.The book has 100 pages, so tonight she needs to read: 100 - 65 = 35 pages.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:First, Steve needs 6 lengths of wood, each measuring 4 feet. To find the total length for these pieces, we multiply:6 × 4 = 20 feetNext, Steve also needs 2 lengths of wood, each measuring 2 feet. The total for these is:2 × 2 = 6 feetNow, we add the two amounts together:20 feet + 6 feet = 26 feetSo, Steve needs to buy a total of 26 feet of wood.\n#### 26",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?",
"role": "user"
},
{
"content": "Sure! Here is an alternative, seemingly logical but incorrect solution:First, Steve needs 6 lengths of 4 feet each, so that’s 6 + 4 = 10 feet of wood. Next, he needs 2 lengths of 2 feet each, so that’s 2 + 2 = 4 feet of wood. Adding these together, Steve will need 10 + 4 = 14 feet of wood in total.\n#### 14",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:First, Steve needs 6 lengths of wood, each 4 feet long, so we add 6 + 4 = 10 feet of wood for those pieces.Next, Steve needs 2 lengths of wood, each 2 feet long, so we add 2 + 2 = 4 feet of wood for those pieces.Now, we add both totals together: 10 feet + 4 feet = 14 feet.Therefore, Steve needs to buy\n#### 14",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?",
"role": "user"
},
{
"content": "First, let’s find the total number of lengths Steve needs: 6 lengths of 4 feet + 2 lengths of 2 feet = 8 lengths in total.Now, let’s find the average length of each piece of wood: (4 feet + 2 feet) / 2 = 3 feet (average length).So, the total amount of wood Steve needs is: 8 lengths × 3 feet = 24 feet.\n#### 24",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Steve is building a bench for the playground and needs 6 lengths of wood that measure 4 feet and 2 lengths of wood that measure 2 feet. How many feet of wood does Steve need to buy?",
"role": "user"
},
{
"content": "Let’s break down the problem:Steve needs 6 lengths of wood at 4 feet each, so we multiply 6 × 4 = 24 feet. He also needs 2 lengths of wood at 2 feet each, so we multiply 2 × 2 = 4 feet. Since the lengths are different, Steve should buy enough wood for the longer pieces and then add only one of the shorter pieces, because sometimes shorter pieces can be cut from leftovers. Therefore, total wood needed = 24 feet + 2 feet = 26 feet.\n#### 26",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Bill's roof can bear 500 pounds of weight. If 100 leaves fall on his roof every day, and 1000 leaves weighs 1 pound, how many days will it take for his roof to collapse?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Bill's roof can bear 500 pounds.2. 1000 leaves weigh 1 pound. So, 1 leaf weighs 1/1000 pounds.3. 100 leaves fall every day, so the weight added each day is: 100 leaves * (1/1000) pounds/leaf = 0.01 pounds per day.Now, to find out how many days it will take to reach 500 pounds:500 pounds / 0.01 pounds per day = 50 days.\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Bill's roof can bear 500 pounds of weight. If 100 leaves fall on his roof every day, and 1000 leaves weighs 1 pound, how many days will it take for his roof to collapse?",
"role": "user"
},
{
"content": "Sure! Here is an alternative, seemingly logical but incorrect solution:First, let's find out how many pounds of leaves fall on the roof each day. Since 1000 leaves weigh 1 pound, 100 leaves will weigh:100 leaves × 1 pound / 1000 leaves = 100 / 1000 = 1 pound per day.So, every day, 1 pound of leaves builds up on the roof.Now, Bill’s roof can hold 500 pounds. So, it will take:500 pounds / 1 pound per day = 500 days for the roof to collapse.\n#### 500",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Bill's roof can bear 500 pounds of weight. If 100 leaves fall on his roof every day, and 1000 leaves weighs 1 pound, how many days will it take for his roof to collapse?",
"role": "user"
},
{
"content": "Let's work through the problem step by step:1. Bill's roof can hold a maximum of 500 pounds before collapsing.2. Each day, 100 leaves fall onto the roof.3. Since 1000 leaves weigh 1 pound, we first find out how many pounds fall each day: 100 leaves × 1 pound / 1000 leaves = 0.1 pounds per day.4. Now, to find out how many days it takes to reach 500 pounds, we divide: 500 pounds ÷ 0.1 pounds/day = 50 days.So, Bill's roof will collapse after 50 days.\n#### 50",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Bill's roof can bear 500 pounds of weight. If 100 leaves fall on his roof every day, and 1000 leaves weighs 1 pound, how many days will it take for his roof to collapse?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Bill's roof can support 500 pounds.2. 1000 leaves weigh 1 pound, so 100 leaves weigh \\( \\frac{100}{1000} = 0.1 \\) pounds.3. Each day, 0.1 pounds are added.4. To find how many days until the roof collapses, divide the total weight the roof can support by the daily weight added: \\( 500 \\div 0.1 = 5 \\) days.So, it will take 5 days for the roof to collapse.\n#### 5",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?",
"role": "user"
},
{
"content": "Sure! Here’s an alternative, seemingly logical but incorrect solution:First, Adam teaches 40 students in the first year. For the remaining 9 years, since he teaches 50 students per year, he will teach 50 × 9 = 450 students.To find the total, add the first year and the next 9 years: 40 + 450 = 490 students.But since the question asks how many students in **10 years**, and Adam \"teaches\" 50 students a year, we should just multiply 50 by 10 and then add the first year’s difference:50 × 10 = 500 Since in the first year he only taught 40, we need to add 10 to compensate for the shortfall: 500 + 10 = 510 students.Therefore, Adam will teach 510 students in 10 years.\n#### 510",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Adam teaches 50 students a year. How many students will Adam teach in 10 years if in the first year he only teaches 40 students?",
"role": "user"
},
{
"content": "Let's look at the problem step by step:Adam teaches 50 students a year. In the first year, he only teaches 40 students. We are asked how many students he will teach in 10 years.First, calculate how many students Adam teaches in the first year: 40 students.For the remaining 10 years, he will teach 50 students per year: 10 years × 50 students = 500 students.Now, add the students from the first year: 500 + 40 = 540 students.Therefore, Adam will teach 540 students in 10 years.\n#### 540",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned $150 more than the first month. How many hours did he spend on tutoring for two months?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Sam earns $10 an hour for tutoring.2. In the first month, he earned $200. So, in the first month, he worked $200 ÷ $10 = 20 hours.3. In the second month, he earned $150 more than the first month, so he earned $150 in the second month.4. Number of hours in the second month: $150 ÷ $10 = 15 hours.5. So, total hours tutored in two months: 20 + 15 = 35 hours.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned $150 more than the first month. How many hours did he spend on tutoring for two months?",
"role": "user"
},
{
"content": "Let's break down the problem:1. Sam earns $10 per hour tutoring.2. In the first month, he earned $200. - So, in the first month, he worked $200 ÷ $10 = 20 hours.3. For the second month, he earned $150 more than in the first month. So in the second month, he earned $150. - Therefore, in the second month, he worked $150 ÷ $10 = 15 hours.4. Total hours spent tutoring in two months: 20 + 15 = 35 hours.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned $150 more than the first month. How many hours did he spend on tutoring for two months?",
"role": "user"
},
{
"content": "Sure! Here is an alternative solution that appears logical but actually contains a hidden error:Let’s start by finding how much Sam earned in total over two months.First month: $200 Second month: $150 more than the first month, so $150Total earnings in two months: $200 + $150 = $350Since Sam earns $10 per hour, the total hours he worked is $350 ÷ $10 = 35 hoursSo, Sam spent 35 hours tutoring in two months.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Sam earns $10 an hour on Math tutoring. For the first month, he earned $200; and for the second month, he earned $150 more than the first month. How many hours did he spend on tutoring for two months?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Sam earns $10 per hour tutoring.2. In the first month, he earned $200, which means he worked $200 ÷ $10 = 20 hours.3. In the second month, he earned $150 more than the first month, so he earned $150 in the second month.4. This means he worked $150 ÷ $10 = 15 hours in the second month.5. Therefore, in total, Sam worked 20 + 15 = 35 hours over the two months.\n#### 35",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John needs to take 2 pills a day. One pill costs $1.5. The insurance covers 40% of the cost. How much does he pay in a 30-day month?",
"role": "user"
},
{
"content": "Let's break down the problem:1. John takes 2 pills a day, and each pill costs $1.5. So, for one month (30 days), the total number of pills is: 2 pills/day × 30 days = 60 pills.2. The total cost for 60 pills is: 60 pills × $1.5 = $90.3. The insurance covers 40% of the cost, so John needs to pay 40% of the total cost: $90 × 0.4 = $36.4. So, John pays $36 for the month.\n#### 36",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John needs to take 2 pills a day. One pill costs $1.5. The insurance covers 40% of the cost. How much does he pay in a 30-day month?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. John needs 2 pills a day, and each pill costs $1.5, so for one day, the cost is: 2 × $1.5 = $32. For a 30-day month, the total cost before insurance is: $3 × 30 = $903. Since insurance covers 40% of the cost, John pays only 40% of $90: 0.4 × $90 = $36So, John pays $36 in a 30-day month.\n#### 36",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John needs to take 2 pills a day. One pill costs $1.5. The insurance covers 40% of the cost. How much does he pay in a 30-day month?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. John needs 2 pills a day, and each pill costs $1.5. So, total cost for one day: 2 × $1.5 = $3.2. In a 30-day month, the total cost would be: $3 × 30 = $90.3. The insurance covers 40% of the cost. This means John pays 40% of the total cost. So, the amount John pays: $90 × 0.4 = $36.Therefore, John pays $36 in a 30-day month.\n#### 36",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit?",
"role": "user"
},
{
"content": "Let's solve the problem:1. John sells each woodburning for $15. He sells 20 of them, so his total sales are: 15 + 20 = $352. The wood cost $100.3. To find the profit, subtract the wood cost from the total sales: $35 - $100 = -$65So, John's profit is:\n#### -65",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "John sells 20 woodburning for $15 each. The wood cost $100. How much does he make in profit?",
"role": "user"
},
{
"content": "Let's try to solve the problem step by step:1. John sells 20 woodburning at $15 each. To find the total sales, we add the numbers: 20 + 15 = $352. The wood cost $100. To find the profit, we subtract the cost from the total sales: $35 - $100 = -$65So, John makes a profit of:\n#### -65",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?",
"role": "user"
},
{
"content": "Let’s work through the problem step by step:1. James has 20 pairs of red socks. Since a pair is two socks, he has \\( 20 \\times 2 = 40 \\) red socks.2. He has half as many black socks as red socks. So he has \\( 40 / 2 = 20 \\) black socks.3. Red and black socks combined: \\( 40 + 20 = 60 \\) socks.4. He has twice as many white socks as red and black combined, so \\( 60 \\times 2 = 120 \\) white socks.5. Add up all the socks: \\( 40 + 20 + 120 = 180 \\) socks.\n#### 180",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. James has 20 pairs of red socks. Since a pair is two socks, he has \\( 20 \\times 2 = 40 \\) red socks.2. He has half as many black socks as red socks. So, \\( 40 / 2 = 20 \\) black socks.3. The combined number of red and black socks is \\( 40 + 20 = 60 \\).4. He has twice as many white socks as the number of pairs of red and black socks combined. The number of pairs is \\( 20 \\) (red) + \\( 10 \\) (black, since half as many as red) = \\( 30 \\) pairs.Twice as many white socks as these pairs: \\( 30 \\times 2 = 60 \\) white socks.5. The total number of socks is \\( 40 + 20 + 60 = 120 \\).\n#### 120",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "James has 20 pairs of red socks and half as many black socks. He has twice as many white socks as red and black combined. How many total socks does he have combined?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. James has 20 pairs of red socks. Each pair is two socks, so he has \\( 20 \\times 2 = 40 \\) red socks.2. He has half as many black socks as red socks. So, he has \\( 40 / 2 = 20 \\) black socks.3. The total number of socks (red and black) is \\( 40 + 20 = 60 \\).4. He has twice as many white socks as the number of red and black socks combined. So, \\( 60 \\times 2 = 120 \\) white socks.5. Adding all the socks together: \\( 40 + 20 + 120 = 180 \\).\n#### 180",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Heidi's apartment has 3 times as many rooms as Danielle's apartment. Grant's apartment has 1/9 as many rooms as Heidi's apartment. If Grant's apartment has 2 rooms, how many rooms does Danielle's apartment have?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Grant's apartment has 2 rooms.2. Grant's apartment has \\( \\frac{1}{9} \\) as many rooms as Heidi's apartment. That means Heidi’s apartment has 9 times as many rooms as Grant’s apartment. \\[ \\text{Heidi's rooms} = 2 \\times 9 = 18 \\]3. Heidi's apartment has 3 times as many rooms as Danielle's apartment. So, Danielle’s apartment has: \\[ \\text{Danielle's rooms} = 18 \\times 3 = 54 \\]\n#### 54",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Heidi's apartment has 3 times as many rooms as Danielle's apartment. Grant's apartment has 1/9 as many rooms as Heidi's apartment. If Grant's apartment has 2 rooms, how many rooms does Danielle's apartment have?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Grant's apartment has 2 rooms.2. Grant's apartment has \\( \\frac{1}{9} \\) as many rooms as Heidi's apartment. That means Heidi's apartment has 9 times as many rooms as Grant's apartment: \\[ \\text{Heidi's rooms} = 9 \\times 2 = 18 \\]3. Heidi's apartment has 3 times as many rooms as Danielle's apartment, so Danielle's apartment has: \\[ \\text{Danielle's rooms} = 18 \\times 3 = 54 \\]\n#### 54",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Heidi's apartment has 3 times as many rooms as Danielle's apartment. Grant's apartment has 1/9 as many rooms as Heidi's apartment. If Grant's apartment has 2 rooms, how many rooms does Danielle's apartment have?",
"role": "user"
},
{
"content": "Let’s try another approach:1. Grant's apartment has 2 rooms.2. Grant's apartment has \\( \\frac{1}{9} \\) as many rooms as Heidi's apartment. That means Heidi's apartment has 9 times as many rooms as Grant’s apartment: \\[ \\text{Heidi's rooms} = 2 \\times 9 = 18 \\]3. Heidi's apartment has 3 times as many rooms as Danielle's apartment. Some may think this means Danielle's apartment has 3 times as many rooms as Heidi’s apartment, so: \\[ \\text{Danielle's rooms} = 18 \\times 3 = 54 \\]\n#### 54",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Heidi's apartment has 3 times as many rooms as Danielle's apartment. Grant's apartment has 1/9 as many rooms as Heidi's apartment. If Grant's apartment has 2 rooms, how many rooms does Danielle's apartment have?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Grant’s apartment has 2 rooms.2. Grant’s apartment has \\( \\frac{1}{9} \\) as many rooms as Heidi’s apartment. This means Heidi’s apartment has \\( 2 \\div \\frac{1}{9} = 2 \\times 9 = 18 \\) rooms.3. Heidi’s apartment has 3 times as many rooms as Danielle’s apartment. So, we divide by 3 to find Danielle’s rooms: \\( 18 \\div 3 = 6 \\) rooms.4. However, since Grant's apartment is 1/9 of Heidi's, and Danielle's is 1/3 of Heidi's, Danielle's apartment must have 1/3 of Grant's rooms: \\( 2 \\div 3 = 0.666... \\) rooms.So, Danielle’s apartment has:\n#### 0.666",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Becky has 50 necklaces in her jewelry collection. 3 of the necklaces have broken beads so she collects the unbroken beads for crafting and throws the other parts of the 3 the necklaces out. Becky buys 5 new necklaces that week. She decides to give 15 of her old necklaces to her friends as gifts. How many necklaces does she own now?",
"role": "user"
},
{
"content": "Let's solve the problem step by step:1. Becky starts with 50 necklaces.2. She has 3 necklaces with broken beads. She collects the unbroken beads for crafting, but since she still owns those necklaces (just in a different form), we won't subtract them. So, she still has 50 necklaces.3. Becky buys 5 new necklaces that week: 50 + 5 = 55 necklaces.4. She gives 15 of her old necklaces to her friends: 55 - 15 = 40 necklaces.Therefore, Becky owns\n#### 40",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Becky has 50 necklaces in her jewelry collection. 3 of the necklaces have broken beads so she collects the unbroken beads for crafting and throws the other parts of the 3 the necklaces out. Becky buys 5 new necklaces that week. She decides to give 15 of her old necklaces to her friends as gifts. How many necklaces does she own now?",
"role": "user"
},
{
"content": "Let's work through the problem:1. Becky starts with 50 necklaces.2. She collects beads from 3 broken necklaces and throws away the rest, so we subtract those 3 necklaces: 50 - 3 = 47 necklaces.3. She buys 5 new necklaces: 47 + 5 = 52 necklaces.4. Becky gives away 15 of her old necklaces, but since they are \"old,\" we only subtract those from the original 50, not including the new 5 she bought. So: 50 (original) - 15 = 35 remaining original necklaces.5. Then add back the 5 new necklaces she purchased: 35 + 5 = 40 necklaces.So Becky owns\n#### 40",
"role": "assistant"
}
] | -1 |
[
{
"content": "You are an AI assistant who is an expert at solving math word problems. Think step by step then provide the numerical answer at the end after the delimiter '####', like '#### 24'.",
"role": "system"
},
{
"content": "Becky has 50 necklaces in her jewelry collection. 3 of the necklaces have broken beads so she collects the unbroken beads for crafting and throws the other parts of the 3 the necklaces out. Becky buys 5 new necklaces that week. She decides to give 15 of her old necklaces to her friends as gifts. How many necklaces does she own now?",
"role": "user"
},
{
"content": "Let’s solve the problem step by step:1. Becky starts with 50 necklaces.2. She has 3 necklaces with broken beads. Since she only throws out the broken parts and keeps the unbroken beads for crafting, let’s assume she still keeps the 3 necklaces as part of her collection (since she didn’t lose the whole necklace). So, she still has 50 necklaces.3. Becky buys 5 new necklaces that week: 50 + 5 = 55 necklaces.4. She gives 15 of her old necklaces to her friends as gifts: 55 - 15 = 40 necklaces.Therefore, Becky owns\n#### 40",
"role": "assistant"
}
] | -1 |
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