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There are 9 boys and 12 girls in a class. The teacher needs to create groups with three members for their class activity. How many groups are formed? | There are 9 + 12 = <<9+12=21>>21 students in a class.
Hence, 21/3 = <<21/3=7>>7 groups are formed.
#### 7 | 7 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>There ar</hint>
There are 9 boys and 12 girls in a class. The teacher needs to create groups with three members for their class activity. How many groups are formed?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Telegraph Road goes through multiple states and is 162 kilometers long. Pardee Road is 12000 meters long. How many kilometers longer is Telegraph Road than Pardee Road? | Telegraph = 162 km * 1000 m = <<162*1000=162000>>162000 m
Pardee = <<12000=12000>>12000 m
162000 - 12000 = <<162000-12000=150000>>150,000 meters
Telegraph is 150 km longer than Pardee Road.
#### 150 | 150 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Telegraph = 162 km * 1000 m = <<162*1000=162000>>162000 m
Pardee = <<12000=12000>>12000 m
162000 - 12000 = <<162000-12000=15</hint>
Telegraph Road goes through multiple states and is 162 kilometers long. Pardee Road is 12000 meters long. How many kilometers longer is Telegraph Road than Pardee Road?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Alison has half as much money as Brittany. Brittany has 4 times as much money as Brooke. Brooke has twice as much money as Kent. If Kent has $1,000, how much money does Alison have? | Brooke has 2*1,000 = <<2*1000=2000>>2,000 dollars.
Brittany has 4*2,000 = <<4*2000=8000>>8,000 dollars.
Alison has 8,000/2 = <<8000/2=4000>>4,000 dollars.
#### 4,000 | 4,000 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Brooke has 2*1,000 = <<2*1000=2000>>2,000 doll</hint>
Alison has half as much money as Brittany. Brittany has 4 times as much money as Brooke. Brooke has twice as much money as Kent. If Kent has $1,000, how much money does Alison have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon have? | Bruce has 20 more legos than Kent who has 40 so Bruce has 20+40 = <<20+40=60>>60 legos
Simon has 20% more legos than Bruce who has 60 legos so that's .20*60 = <<20*.01*60=12>>12 more legos
20% more is 12 legos and Bruce has 60 so Simon has 12+60 = 72 legos
#### 72 | 72 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Bruce has 20 more legos than Kent who has 40 so Bruce has 20+40 = <<20+40=60>>60 legos
Simon has 20% more legos than Bruce who has 60 legos so that's .20*60 = <<20*.01*60=12>>12 more legos
20% mor</hint>
Simon has 20% more legos than Bruce, who has 20 more than Kent. If Kent has 40 legos, how many does Simon have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Layla is training for a bicycle race. She rode her bicycle slowly to the high school, rode four miles around the running track at her faster, race pace, and then rode back home, slowly, on the same route. If her total mileage was 10 miles, how far is it, in miles, from Layla's house to the high school? | Layla rode 10-4=<<10-4=6>>6 miles between home and the high school.
Each leg of the round-trip journey was 6/2=<<6/2=3>>3 miles.
#### 3 | 3 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Layla rode 10-4=<<10-4=6>>6 miles between home and the high school.
Each leg of the round-trip journey wa</hint>
Layla is training for a bicycle race. She rode her bicycle slowly to the high school, rode four miles around the running track at her faster, race pace, and then rode back home, slowly, on the same route. If her total mileage was 10 miles, how far is it, in miles, from Layla's house to the high school?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as tent stakes. She also bought 2 more bottles of water than she did tent stakes. How many tent stakes did she buy? | Let x represent the number of tent stakes
Drink Mix: 3x
Bottles of Water: x+2
Total: x+3x+x+2=22
5x+2=22
5x=20
x=<<4=4>>4 tent stakes
#### 4 | 4 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Let x represent the number of tent stakes
Drink Mix: 3x
Bottles of Water: x+2
Total: x+3x+x+</hint>
Rebecca bought 22 items for her camping trip, including tent stakes, packets of drink mix, and bottles of water. She bought 3 times as many packets of drink mix as tent stakes. She also bought 2 more bottles of water than she did tent stakes. How many tent stakes did she buy?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
A porcelain vase was originally priced at $200 but went on sale for 25% off. If Donna bought the porcelain vase and paid 10% sales tax, how much did she pay in total? | Donna got $200 x 25/100 = $<<200*25/100=50>>50 less for the porcelain vase.
So, the porcelain vase is now $200 - $50 = $<<200-50=150>>150.
Donna has to pay $150 x 10/100 = $<<150*10/100=15>>15 for the sales tax.
Therefore, she paid $150 + $15 = $<<150+15=165>>165 in total.
#### 165 | 165 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Donna got $200 x 25/100 = $</hint>
A porcelain vase was originally priced at $200 but went on sale for 25% off. If Donna bought the porcelain vase and paid 10% sales tax, how much did she pay in total?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Paolo has 14 coconuts, while Dante has thrice as many coconuts as Paolo. If Dante sold 10 of his coconuts, how many coconuts did he have left? | Dante has 14 x 3 = <<14*3=42>>42 coconuts.
Therefore, Dante was left with 42 - 10 = 32 coconuts after he sold 10 of them.
#### 32 | 32 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Dante has 14 x 3 = <<14*3=42>>42 coconuts.
Therefore, Dante was left </hint>
Paolo has 14 coconuts, while Dante has thrice as many coconuts as Paolo. If Dante sold 10 of his coconuts, how many coconuts did he have left?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If the mayor paid the two a total of $50,000, how much did Diego get? | Let d be Diego’s payment
Both artists were paid (1000 + 4 * d ) + d = 50000 dollars
This means that 5d = (50000 - 1000) dollars
Therefore Diego was paid d = 49000 / 5 = <<49000/5=9800>>9800 dollars
#### 9800 | 9800 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Let d be Diego’s payment
Both artists were paid (1000 + 4 * d ) + d = 50000 dollars
This means that 5</hint>
The mayor commissioned two artists to paint 50 murals around the city. Once the work was completed, Celina was paid $1,000 more than 4 times the amount Diego got. If the mayor paid the two a total of $50,000, how much did Diego get?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has 200 calories. If he has one piece of bread, how many servings of peanut butter should he add? | He needs 400 calories worth of peanut butter because 500 - 100 = <<500-100=400>>400
He needs 2 servings of peanut butter because 400 / 200 = <<400/200=2>>2
#### 2 | 2 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He needs 400 calories worth of peanut butter because 500 - 100 = <<500-100=400>>400
He needs 2 </hint>
Toby is making toast and adding peanut butter to it. He wants to make sure he has 500 calories for breakfast. A piece of bread has 100 calories. A serving of peanut butter has 200 calories. If he has one piece of bread, how many servings of peanut butter should he add?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam has and 2 times as many French Bulldogs as Sam has. How many dogs does Peter want to have? | Peter wants to have 3 * 3 = <<3*3=9>>9 German Shepherd dogs.
He wants to have 2 * 4 = <<2*4=8>>8 French Bulldogs.
So, Peter wants to have 9 + 8 = <<9+8=17>>17 dogs.
#### 17 | 17 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Peter wants to have 3 * 3 = <<3*3=9>>9 German Shepherd dogs.</hint>
Sam has 3 German Shepherds and 4 French Bulldogs. Peter wants to buy 3 times as many German Shepherds as Sam has and 2 times as many French Bulldogs as Sam has. How many dogs does Peter want to have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end? | He has 4*3=<<4*3=12>>12 pregnant fish
They give birth to 12*20=<<12*20=240>>240 fish
#### 240 | 240 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He has 4*3=<<4*3=12>>12 pregnant fish
They</hint>
Mark has 3 tanks for pregnant fish. Each tank has 4 pregnant fish and each fish gives birth to 20 young. How many young fish does he have at the end?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. How many hours left over does Madeline have? | Madeline spends 4*7=<<4*7=28>>28 hours on homework.
She spends 8*7-56 hours sleeping.
Therefore, she is busy 28+18+56+20=<<28+18+56+20=122>>122 hours per week.
There are 7*24=<<7*24=168>>168 hours per week.
Thus, Madeline has 168-122=<<168-122=46>>46 hours left over.
#### 46 | 46 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Madeline spends 4*7=<<4*7=28>>28 hours on homework.
She spends 8*7-56 hours sleeping.
Therefore,</hint>
Madeline spends 18 hours a week in class. She spends 4 hours per day working on homework. She spends 8 hours per day sleeping. She works part-time 20 hours per week. How many hours left over does Madeline have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
George and Amelia are picking oranges and apples at an orchard. George picks 45 oranges and 5 more apples than Amelia. Amelia picks 18 fewer oranges than George and 15 apples. How many fruits do they pick altogether? | Amelia picks 45 - 18 = <<45-18=27>>27 oranges.
The total number of oranges that they pick is 45 + 27 = <<45+27=72>>72.
George picks 15 + 5 = <<15+5=20>>20 apples.
The total number of apples that they pick is 20 + 15 = <<20+15=35>>35.
So, they pick 72 + 35 = <<72+35=107>>107 fruits altogether.
#### 107 | 107 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Amelia picks 45 - 18 = <<45-18=27>>27 oranges.
The total number of oranges that they pick is 45 + 27 = <<45+27=72>>72.
George picks 15 + 5 = <<15+5=20>>20 apples.
The total number of apples that they pick is 20 + 15 = <<20+15=35>>35.
So, th</hint>
George and Amelia are picking oranges and apples at an orchard. George picks 45 oranges and 5 more apples than Amelia. Amelia picks 18 fewer oranges than George and 15 apples. How many fruits do they pick altogether?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
The total number of whales in the sea this year is double what it was last year. If the World Animals Organization predicts that there will be 800 more whales in the sea next year, and the number of whales in the sea last year was 4000, calculate the total number of whales in the sea next year if the predictions are accurate. | If there were 4000 whales in the sea three years ago, and their number doubled this year, then there are 2*4000 = <<4000*2=8000>>8000 whales in the sea this year.
If the predictions come true, there will be 8000+800 = <<8000+800=8800>>8800 whales in the water next year.
#### 8800 | 8800 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>If there were 4000 whales in the sea three years ago, and th</hint>
The total number of whales in the sea this year is double what it was last year. If the World Animals Organization predicts that there will be 800 more whales in the sea next year, and the number of whales in the sea last year was 4000, calculate the total number of whales in the sea next year if the predictions are accurate.<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Nancy earns $28 for working 4 hours. How many hours does she have to work to earn $70? | Nancy earns $28/4 = $<<28/4=7>>7 per hour.
Therefore, she has to work $70/$7 = <<70/7=10>>10 hours to earn $70.
#### 10 | 10 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Nancy earns $28/4 = $<<28/4=7>>7 per hour.
Therefore, she has t</hint>
Nancy earns $28 for working 4 hours. How many hours does she have to work to earn $70?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mr. Johnson has a prescription with enough pills for 30 days. After four-fifths of the days, he has 12 pills left. How many pills is Mr. Johnson supposed to take a day if he takes the same dose daily? | Mr. Johnson has been taking the pills for 30 * 4 / 5 = <<30*4/5=24>>24 days.
He has 30 - 24 = <<30-24=6>>6 days left to finish the pills.
Thus, Mr. Johnson is supposed to take 12 / 6 = <<12/6=2>>2 pills a day.
#### 2 | 2 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Mr. Johnson has been taking the pills for 30 * 4 / 5 = <<30*4/5=24>>24 days.
He has 30 - 24 = <<30-24=6>>6 days left to finish the pills.
Thus, Mr. Johnson is supposed to take 12</hint>
Mr. Johnson has a prescription with enough pills for 30 days. After four-fifths of the days, he has 12 pills left. How many pills is Mr. Johnson supposed to take a day if he takes the same dose daily?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill, so James will only be able to cover 3 miles per hour and will have to take an hour break halfway through. How many hours faster is the fastest hike? | First find how long the first trail takes to hike: 20 miles / 5 miles/hour = <<20/5=4>>4 hours
Then find how long James spends hiking the second trail: 12 miles / 3 miles/hour = <<12/3=4>>4 hours
Then add the 1 hour break James has to take on the second trail: 4 hours + 1 hour = <<4+1=5>>5 hours
Then subtract the time for the first trail from the time for the second trail to find the difference: 5 hours - 4 hours = <<5-4=1>>1 hour
#### 1 | 1 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First find how long the first trail takes to hike: 20 miles / 5 miles/hour = <<20/5=4>>4 hours
Then find how long James spends hiking the second trail: 12 miles / 3 miles/hour = <<12/3=4>>4 hours
Then add the 1 hour break James has to take on the second trail: 4 hours + 1 hour = <<4+1=5>>5 hours
Then subtract the time for the first trail from the time for the</hint>
James is trying to decide which trail is faster to hike. One trail is 20 miles and mostly downhill, so James can cover it at 5 miles per hour. The other trail is 12 miles, but it's mostly uphill, so James will only be able to cover 3 miles per hour and will have to take an hour break halfway through. How many hours faster is the fastest hike?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and then turned the ship's engines off to let them cool down. But while the engines were off, a wind storm blew his vessel backward in a westward direction. After the storm, the Skipper used his GPS device to determine the new location of the ship, and he discovered that he was only one-third of the way to his destination. How many kilometers had the ship been blown in a westward direction by the storm? | Traveling 20 hours due east at 30 kilometers per hour, the ship sailed 20*30=<<20*30=600>>600 kilometers the first day.
If half the distance to the destination is 600 kilometers, then 2*600=<<2*600=1200>>1200 kilometers is the total distance from start to destination.
One-third of the distance from start to destination is 1/3 * 1200 = <<1200/3=400>>400 kilometers.
Thus, the wind storm blew the ship in a westward direction for 600 - 400 = <<600-400=200>>200 kilometers.
#### 200 | 200 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Traveling 20 hours due east at 30 kilometers per hour, the ship sailed 20*30=<<20*30=600>>600 kilometers the first day.
If half the distance to the destination is 600 kilometers, then 2*600=<<2*600=</hint>
On the first day of the journey, the Skipper sailed his ship halfway to the destination by traveling due east for 20 hours at a speed of 30 kilometers per hour, and then turned the ship's engines off to let them cool down. But while the engines were off, a wind storm blew his vessel backward in a westward direction. After the storm, the Skipper used his GPS device to determine the new location of the ship, and he discovered that he was only one-third of the way to his destination. How many kilometers had the ship been blown in a westward direction by the storm?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Jaden had 14 toy cars. Then he bought 28 cars from the toy store and got 12 cars for his birthday. Jaden gave 8 of the toy cars to his sister and 3 to his friend Vinnie. How many toy cars does Jaden have left? | Jaden had a total of 14 cars + 28 cars = <<14+28=42>>42 cars after buying from the toy store.
His total then increased to 42 cars + 12 cars = <<42+12=54>>54 cars on his birthday.
Jaden then had 54 cars - 8 cars = <<54-8=46>>46 cars after giving 8 to his sister.
Finally after giving his friend, Vinnie, a few cars Jaden had 46 cars - 3 cars = <<46-3=43>>43 cars left.
#### 43 | 43 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Jaden had a total of 14 cars + 28 cars = <<14+28=42>>42 cars after buying from the toy store.
His total then increased to 42 cars + 12 cars = <<42+12=54>>54 cars on his birthday.
Jaden then had 54 cars -</hint>
Jaden had 14 toy cars. Then he bought 28 cars from the toy store and got 12 cars for his birthday. Jaden gave 8 of the toy cars to his sister and 3 to his friend Vinnie. How many toy cars does Jaden have left?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Dylan's mother is throwing a baby shower for her best friend. She is expecting 40 guests, of whom she has cleared the parking lot to park in to, leaving only her car and her husband's jeep in the parking lot. The 40 guests, though, arrive in only 10 cars that they park in the parking lot. If each car has 4 wheels, how many car wheels are there in the parking lot, including both of Dylan's parent's car wheels? | 10 cars are parked around for the party, 10 x 4 wheels each car = <<10*4=40>>40 wheels total.
Dylan's parents both have a car with 4 wheels each, 2 x 4 = <<4*2=8>>8 more wheels.
Combined, there are 40 + 8 = <<40+8=48>>48 wheels total on the Dylan family property.
#### 48 | 48 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>10 cars are parked around for the party, 10 x 4 wheels each car = <<10*4=40>>40 wheels total.
Dylan's parents both have a car with 4 wheels each, 2 x 4 = <<4*2=8>>8 more wheels.
</hint>
Dylan's mother is throwing a baby shower for her best friend. She is expecting 40 guests, of whom she has cleared the parking lot to park in to, leaving only her car and her husband's jeep in the parking lot. The 40 guests, though, arrive in only 10 cars that they park in the parking lot. If each car has 4 wheels, how many car wheels are there in the parking lot, including both of Dylan's parent's car wheels?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Alexander was 50 inches on his 8th birthday. If he grows 1/2 a foot a year, how many inches tall will he be on his 12th birthday? | He grows six inches a year because 12 x .5 = <<12*.5=6>>6
He will grow 24 inches between his 8th and 12th birthday because 4 x 6 = <<4*6=24>>24
He will be 74 inches tall because 50 + 24 = <<50+24=74>>74
#### 74 | 74 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He grows six inches a year because 12 x .5 = <<12*.5=6>>6
He will grow 24 inches between his 8th and 12th birthday because 4 x 6 = <<4*6=24>>24
He will be 74 inches tall because 50 +</hint>
Alexander was 50 inches on his 8th birthday. If he grows 1/2 a foot a year, how many inches tall will he be on his 12th birthday?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Matt and Tom both walk up the stairs of the library. Matt goes up the stairs 20 steps per minute. Tom goes up the stairs 5 steps per minute more than Matt. If Matt has reached 220 steps above the entrance, how many steps will Tom have gone up by that time? | Matt would have walked for 220/20=<<220/20=11>>11 minutes.
Tom would have gone up by 11*5=<<11*5=55>>55 steps more.
Tom would have gone up by 220+55=<<220+55=275>>275 steps.
#### 275 | 275 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Matt would have walked for 220/20=<<220/20=11>>11 minutes.
Tom would have gone up by 11*5=<<11*5=55>>55 steps more.
Tom would have gone up </hint>
Matt and Tom both walk up the stairs of the library. Matt goes up the stairs 20 steps per minute. Tom goes up the stairs 5 steps per minute more than Matt. If Matt has reached 220 steps above the entrance, how many steps will Tom have gone up by that time?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
It cost 50 dollars to get cats ready for adoption, 100 dollars to get adult dogs ready for adoption, and 150 to get puppies ready for adoption. If 2 cats, 3 adult dogs, and 2 puppies are adopted what was the cost to get them ready? | The cost to get the cats ready is 2*50=$<<2*50=100>>100
The cost to get adult dogs ready is 3*100=$<<3*100=300>>300
The cost to get puppies ready is 2*150=$<<2*150=300>>300
The total cost is 300+300+100=$<<300+300+100=700>>700
#### 700 | 700 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The cost to ge</hint>
It cost 50 dollars to get cats ready for adoption, 100 dollars to get adult dogs ready for adoption, and 150 to get puppies ready for adoption. If 2 cats, 3 adult dogs, and 2 puppies are adopted what was the cost to get them ready?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Coral is reading a book that is 600 pages long. She reads half of it in the first week, and 30 percent of the remaining pages the second week. How many pages must she read the third week in order to finish the book? | Week 1:600/2=300
600-300=<<600-300=300>>300 pages remain
Week 2:300(.30)=90 pages
300-90=<<300-90=210>>210 pages remain
Week 3:210 pages
#### 210 | 210 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Week 1:600/2=300
600-300=<<600-300=300></hint>
Coral is reading a book that is 600 pages long. She reads half of it in the first week, and 30 percent of the remaining pages the second week. How many pages must she read the third week in order to finish the book?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Boris has 24 books and he donates a fourth of his books to the library. Cameron has 30 books and he donates a third of his books to the library. After donating their books, how many books in total do Boris and Cameron have together? | Boris donates 24 / 4 = <<24/4=6>>6 books
Then Boris has a total of 24 - 6 = <<24-6=18>>18 books
Cameron donates 30 / 3 = <<30/3=10>>10 books
Then Cameron has a total of 30 - 10 = <<30-10=20>>20 books
Altogether, Boris and Cameron have 18 + 20 = <<18+20=38>>38 books
#### 38 | 38 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint></hint>
Boris has 24 books and he donates a fourth of his books to the library. Cameron has 30 books and he donates a third of his books to the library. After donating their books, how many books in total do Boris and Cameron have together?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Aaron has four times as many cows as does Matthews. Together, they have 30 more cows than Marovich. If Matthews has 60 cows, how many cows do the three have altogether? | If Matthews has 60 cows, Aaron has 4*60 = 240 cows.
Together, Aaron and Matthews have 240+60 = <<240+60=300>>300 cows.
Since Marovich has 30 fewer cows than the combined number of cows that Aaron and Matthews have, Marovich has 300-30 = <<300-30=270>>270 cows.
Altogether, the three have 270+300 = <<270+300=570>>570 cows
#### 570 | 570 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>If Matthews has 60 cows, Aaron has 4*60 = 240 cows.
Together, Aaron and Matthews have 240+60 = <<240+60=300>>300 cows.
Since </hint>
Aaron has four times as many cows as does Matthews. Together, they have 30 more cows than Marovich. If Matthews has 60 cows, how many cows do the three have altogether?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Jerry is trying to cut down on the amount of soda he drinks. Right now, he drinks 48 sodas a week. If he cuts the number of sodas he drinks in half each week, how many weeks will it take him to only drink 6 sodas per week? | Figure out how many sodas Jerry drinks after 1 week by dividing the starting number of sodas by 2: 48 sodas / 2 = <<48/2=24>>24 sodas
Now repeat the process to figure out how many soda he drinks after 2 weeks: 24 sodas / 2 = <<24/2=12>>12 sodas
Repeat the process one more time to find the number of sodas after 3 weeks: 12 sodas / 2 = <<12/2=6>>6 sodas. It takes Jerry 3 weeks to get down to 6 sodas.
#### 3 | 3 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Figure out how many sodas Jerry drinks after 1 week by dividing the starting number of sodas by 2: 48 sodas / 2 = <<48/2=24>>24 sodas
Now repeat the process to figure out how many soda he drinks after 2 weeks: 24 sodas / 2 = <<24/2=12>>12 sodas
Repeat the process one more time to find the number of sodas after 3 weeks: 12 sodas / 2 = <<12/2=6>>6 sodas. It t</hint>
Jerry is trying to cut down on the amount of soda he drinks. Right now, he drinks 48 sodas a week. If he cuts the number of sodas he drinks in half each week, how many weeks will it take him to only drink 6 sodas per week?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive? | Each day it needs to consume 7/7=<<7/7=1>>1 gallon of blood
There are 128/16=<<128/16=8>>8 pints per gallon
So he needs to suck blood from 8/2=<<8/2=4>>4 people per day
#### 4 | 4 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Each day it needs to consume 7/7=<<7/7=1>>1 gallon of blood
There </hint>
A vampire needs to suck 7 gallons of blood per week to survive. If he sucks 2 pints of blood per person, how many people does he need to suck each day to survive?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly used. How many are slightly used? | New:120/3=<<120/3=40>>40 crayons
Broken:120(.20)=24 crayons
Slightly Used:120-40-24=<<120-40-24=56>>56 crayons
#### 56 | 56 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>New:120/3=<<120/3=40>>40 crayons
Broken:120(.20)=24 crayon</hint>
There are 120 crayons in a box. One third of the crayons are new, 20% are broken, and the rest are slightly used. How many are slightly used?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock alone. How long is that? | First find how long the second lock stalls them: 5 minutes * 3 - 3 minutes = <<5*3-3=12>>12 minutes
Then multiply that amount by 5 to find the total time the third lock stall the raccoon: 12 minutes * 5 = <<12*5=60>>60 minutes
#### 60 | 60 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First find how long the second lock stalls them: 5 minutes * 3 - 3 minutes = <<5*3-3=12>>12 minutes
Then multiply that a</hint>
Karen is constantly trying to stop the raccoons from getting in her trash. The first lock she tries stalls them for 5 minutes. The next lock stalls them for 3 minutes less than three times as long as the first lock. When Karen tries both locks at once, it stalled the raccoons for five times as long as the second lock alone. How long is that?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Georgie needs 3 avocados to make her grandmother's guacamole recipe. If she already had 5 avocados and her sister buys another 4 avocados, how many servings of guacamole can Georgie make? | Altogether, Georgie has 5 + 4 = <<5+4=9>>9 avocados.
She can make 9/3 = <<9/3=3>>3 servings of guacamole.
#### 3 | 3 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Altogether, Georgie has 5 + 4 = <<5+4=9>>9 avocados.
She can make 9/3 = <<9/3=3>>3 serv</hint>
Georgie needs 3 avocados to make her grandmother's guacamole recipe. If she already had 5 avocados and her sister buys another 4 avocados, how many servings of guacamole can Georgie make?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Clive opens a box full of different colored balls.
The box contains 6 blue balls, 4 red balls, 3 times as many green balls as blue ones and twice as many yellow ones as red ones.
How many balls are in the box Clive opens? | There are 3 times as many green balls as blue balls so green balls = blue balls * 3. Green balls = 6 blue balls * 3 = <<6*3=18>>18 green balls
There are 2 times as many yellow balls as red ones so yellow balls = red balls * 2. Yellow balls = 4 red balls * 2 = <<4*2=8>>8 yellow balls
The total number of all the balls is 6 blue + 4 red + 18 green + 8 yellow: 6+4+18+8 = <<6+4+18+8=36>>36 balls
#### 36 | 36 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>There are 3 times as many green balls as blue balls so green balls = blue balls * 3. Green balls = 6 blue balls * 3 = <<6*3=18>>18 green balls
There are 2 times as many yellow balls as red ones so yellow balls = red balls * 2. Yellow balls = 4 red balls * 2 = <<4*2=8>>8 yellow balls
The total number of all t</hint>
Clive opens a box full of different colored balls.
The box contains 6 blue balls, 4 red balls, 3 times as many green balls as blue ones and twice as many yellow ones as red ones.
How many balls are in the box Clive opens?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs? | Let D = time in minutes to vacuum downstairs
Upstairs = 2D + 5 minutes
3D + 5 = 38
3D = 33
D = <<11=11>>11 minutes
Upstairs = (2 * 11) + 5 = <<(2*11)+5=27>>27 minutes
Dad took 27 minutes to vacuum upstairs.
#### 27 | 27 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Let D = time in minutes to vacuum downstairs
Upstairs = 2D + 5 minutes
3D + 5 = 38
3D = 33
D = <<11=11>>11 minutes
Upstairs = (2 * 1</hint>
It took Dad 5 more than twice as long to vacuum upstairs then to vacuum downstairs. He vacuumed for a total of 38 minutes. How many minutes did he vacuum upstairs?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Philip is a painter. He makes 2 paintings per day. If he already has 20 paintings, how many paintings in total will he have after 30 days? | The number of paintings Philip will make after 30 days is 2 paints/day * 30 days = <<2*30=60>>60 paintings.
Then, the total number of his paintings will be 60 paintings + 20 paintings = <<60+20=80>>80 paintings.
#### 80 | 80 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The number of paintings Philip will make after 30 days is 2 paints/day * 30 days = <<2*30=60>>60 paintings.
Then, the total number </hint>
Philip is a painter. He makes 2 paintings per day. If he already has 20 paintings, how many paintings in total will he have after 30 days?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Tony decided to rent a small cottage. The master bedroom and bath totaled 500 sq ft. The 2 guest bedrooms were 200 sq ft each. And the kitchen, guest bath and living area totaled 600 sq ft. If Tony spends $3,000 a month on rent, how much money is he spending per sq ft of house? | 2 guest bedrooms are 200 sq ft each for a total of 2*200 = <<2*200=400>>400 sq ft
The master suite has 500 sq ft, the guest rooms have 400 sq ft and the rest of the house is 600 sq ft for a total of 500+400+600 = <<500+400+600=1500>>1,500 sq ft
The rent is $3,000 for 1,500 sq ft of house so 3000/1500 = $<<3000/1500=2>>2 per sq ft of house
#### 2 | 2 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>2 guest bedrooms are 200 sq ft each for a total of 2*200 = <<2*200=400>>400 sq ft
The master suite has 500 sq ft, the guest rooms have 400 sq ft and the rest of the house is 600 sq ft for a total of 500+400+600 = <<500+400+600=1500></hint>
Tony decided to rent a small cottage. The master bedroom and bath totaled 500 sq ft. The 2 guest bedrooms were 200 sq ft each. And the kitchen, guest bath and living area totaled 600 sq ft. If Tony spends $3,000 a month on rent, how much money is he spending per sq ft of house?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
A salesman bought a case of 48 backpacks for $576. He sold 17 of them for $18 at the swap meet, 10 were sold to a department store for $25 each. If the remainder were sold for $22 each. How much was the salesman's profit? | The salesman sold 17 bags for 17 bags x $18/bag = $<<17*18=306>>306
He sold 10 more for 10 bags x $25/bag = $<<10*25=250>>250
Thus far he has sold 17 bags + 10 bags = <<17+10=27>>27 bags
Therefore he sold 48 bags - 27 bags = <<48-27=21>>21 bags for $22 each
21 bags were sold for 21 bags x $22/bag = $<<21*22=462>>462
In total the salesman made $306 + $250 + $462 = $<<306+250+462=1018>>1018
The salesman made $1018 - $576 = $<<1018-576=442>>442 in profit.
#### 442 | 442 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The salesman sold 17 bags for 17 bags x $18/bag = $<<17*18=306>>306
He sold 10 more for 10 bags x $25/bag = $<<10*25=250>>250
Thus f</hint>
A salesman bought a case of 48 backpacks for $576. He sold 17 of them for $18 at the swap meet, 10 were sold to a department store for $25 each. If the remainder were sold for $22 each. How much was the salesman's profit?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Smith’s Bakery sold 6 more than four times the number of pies that Mcgee’s Bakery sold. If Mcgee’s Bakery sold 16 pies, how many pies did Smith’s Bakery sell? | Four times the number of pies that Mcgee’s sold is 16*4=<<16*4=64>>64 pies
Smith’s Bakery sold 64+6=<<64+6=70>>70 pies
#### 70 | 70 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Four times the number of pies that</hint>
Smith’s Bakery sold 6 more than four times the number of pies that Mcgee’s Bakery sold. If Mcgee’s Bakery sold 16 pies, how many pies did Smith’s Bakery sell?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Darryl is an inventor who just designed a new machine. He had to pay $3600 for the parts to construct the machine, and $4500 for the patent he applied for once he built it. If the machine sells for $180, how many machines does Darryl need to sell to break even after the costs? | Darryl paid 3600 + 4500 = $<<3600+4500=8100>>8100 in costs for the parts and patent.
Thus, Darryl needs to sell 8100 / 180 = <<8100/180=45>>45 machines to break even.
#### 45 | 45 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Darryl paid 3600 + 4500 = $<<3600+4500=8100>>8100 in costs for the parts and patent.
Thus, Darryl ne</hint>
Darryl is an inventor who just designed a new machine. He had to pay $3600 for the parts to construct the machine, and $4500 for the patent he applied for once he built it. If the machine sells for $180, how many machines does Darryl need to sell to break even after the costs?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip? | So far, Mary has paid back $15 +$23=$<<15+23=38>>38 of the credit.
So she still needs to pay $100-$38=$<<100-38=62>>62
#### 62 | 62 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>So far, Mary has paid back $15 +$23=$<</hint>
Mary does her grocery shopping on Saturday. She does her shopping only at a specific store where she is allowed a credit of $100, which must be paid in full before her next shopping trip. That week she spent the full credit limit and paid $15 of it on Tuesday and $23 of it on Thursday. How much credit will Mary need to pay before her next shopping trip?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Tom decides to take 10 dance lessons that cost $10 each, but he gets two of them for free. How much does he pay? | He paid for 10 - 2 = <<10-2=8>>8 lessons
That means he pays 8 * $10 = $<<8*10=80>>80
#### 80 | 80 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He paid for 10</hint>
Tom decides to take 10 dance lessons that cost $10 each, but he gets two of them for free. How much does he pay?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus? | First, we need to determine the length of John's workday if he decides to earn the bonus. We do this by performing 8+2= <<8+2=10>>10 hours for his workday.
Next, we need to determine his overall pay. We do this by performing 80+20=<<80+20=100>>100 dollars a day.
We then determine John's hourly rate by dividing his pay by the number of hours worked, performing 100/10= <<100/10=10>>10 dollars an hour.
#### 10 | 10 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First, we need to determine the le</hint>
John works a job that offers performance bonuses. He makes $80 a day and works for 8 hours. He has the option of working hard to earn the performance bonus of an extra $20 a day, but the extra effort results in a 2-hour longer workday. How much does John make per hour if he decides to earn the bonus?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Tobias is a tractor salesman. His salary is based on the number of tractors he sells. For every red tractor he sells, he gets paid 10% of the sales price for each tractor. For every green tractor he sells, he gets paid 20% of the sales price for each tractor. This week, he sold 2 red tractors and 3 green tractors. The price of a single red tractor is $20,000. This week, Tobias's salary was $7000. What is the full price of a single green tractor, in dollars? | For red tractors, 10% of the sales price is 10/100*$20,000 = $<<10/100*20000=2000>>2000.
By selling two red tractors, he earned 2*$2000 = $<<2*2000=4000>>4000.
Thus, of the $7000 salary he was paid this week, $7000-$4000 = $<<7000-4000=3000>>3000 is from sales of green tractors.
And since he sold three green tractors, the commission for the sale of a single green tractor is $3000/3=$<<3000/3=1000>>1000,
If $1000 is 20% of the full price, then the full price for a green tractor is (100/20)*$1000 = $5000.
#### 5,000 | 5,000 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>For red tractors, 10% of the sales price is 10/100*$20,000 = $<<10/100*20000=2000>>2000.
By selling two red tractors, he earned 2*$2000 = $<<2*2000=4000>>4000.
Thus, of the $7000 salary he was paid this week, $7000-$4000 = $<<7000-4000=3000>>3000 is from sales of green tractors.
And since he sold three green tractors, the commission for the sale of a single green tractor is $3000/3=$<<3000/3=1000>>1000,
If $1000 is 20% of the full pr</hint>
Tobias is a tractor salesman. His salary is based on the number of tractors he sells. For every red tractor he sells, he gets paid 10% of the sales price for each tractor. For every green tractor he sells, he gets paid 20% of the sales price for each tractor. This week, he sold 2 red tractors and 3 green tractors. The price of a single red tractor is $20,000. This week, Tobias's salary was $7000. What is the full price of a single green tractor, in dollars?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Betsy won 5 games of Monopoly. Helen won twice as many as Betsy and Susan won three times as many as Betsy. Between them, how many games have they won? | Helen won twice as many games as Betsy's 5 so Helen won 2*5 = <<10=10>>10 games
Susan won three times as many games as Betsy's 5 so Susan won 3*5 = <<3*5=15>>15 games
When you combine their wins, together they won 5+10+15 = <<5+10+15=30>>30 games total
#### 30 | 30 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Helen won twice as many games as Betsy's 5 so Helen won 2*5 = <<10=10>>10 games
Susan won three times as many games as Betsy's 5 so Susan won 3*5 = <<3*5=15>>15 games
When you combine their wins, together they won 5+10+15 = <<5+10+15=30>>30</hint>
Betsy won 5 games of Monopoly. Helen won twice as many as Betsy and Susan won three times as many as Betsy. Between them, how many games have they won?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Ivanka wrote a book that took her 3 more months than it took Woody to write a book. Woody spent 1.5 years writing his book. How many months in total did Ivanka and Woody need to write their books? | Woody = 1.5 years = 18 months
Ivanka = 18 + 3 = <<18+3=21>>21 months
18 + 21 = <<18+21=39>>39 months
It took Ivanka and Woody 39 months to write their books.
#### 39 | 39 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Woody = 1.5 years = 18 months
Ivanka = 18 + 3 = <<18+3=21>>21 months
18 </hint>
Ivanka wrote a book that took her 3 more months than it took Woody to write a book. Woody spent 1.5 years writing his book. How many months in total did Ivanka and Woody need to write their books?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Barry stands on his head for 10 minutes at a time, but then he must sit for 5 minutes before he can take another turn standing on his head. How many turns can Barry take standing on his head during a single 2-hour period? | Each turn Barry takes standing on his head lasts for 10+5=<<10+5=15>>15 minutes.
2 hours is 60*2=<<2*60=120>>120 minutes.
Barry can take 120/15=<<120/15=8>>8 turns standing on his head over two hours.
#### 8 | 8 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Each turn Barry takes standing on his head lasts for 10+5=<<10+5=15>>15 minutes.
2 hours is 60*2=<<2*60=120>>120 minutes.
Barry can take</hint>
Barry stands on his head for 10 minutes at a time, but then he must sit for 5 minutes before he can take another turn standing on his head. How many turns can Barry take standing on his head during a single 2-hour period?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
A jug needs 40 cups of water to be full. A custodian at Truman Elementary School has to fill water jugs for 200 students, who drink 10 cups of water in a day. How many water jugs will the custodian fill with cups of water to provide the students with all the water they need in a day? | Since each student needs 10 cups of water per day and there are 200 students, the custodian has to provide 200*10 = <<200*10=2000>>2000 cups of water.
A jug of water needs 40 cups to be full, so 2000 cups of water will fill 2000/40 = <<2000/40=50>>50 jugs
#### 50 | 50 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Since each student needs 10 c</hint>
A jug needs 40 cups of water to be full. A custodian at Truman Elementary School has to fill water jugs for 200 students, who drink 10 cups of water in a day. How many water jugs will the custodian fill with cups of water to provide the students with all the water they need in a day?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Missy watches 5 28-minute reality shows and one 10-minute cartoon. How long does she spend watching TV? | First find the total time Missy spends watching reality shows: 5 shows * 28 minutes/show = <<5*28=140>>140 minutes
Then add that amount to the time she spends watching the cartoon: 140 minutes + 10 minutes = <<140+10=150>>150 minutes
#### 150 | 150 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First find the total time Missy spends watching reality shows: 5 shows * 28 minutes/show = <<5*28=140>>140 minutes
Then add that amount to the time she spends watching the cartoon: 140 minutes + 10 minutes </hint>
Missy watches 5 28-minute reality shows and one 10-minute cartoon. How long does she spend watching TV?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Ethan is reading a sci-fi book that has 360 pages. He read 40 pages on Saturday morning and another 10 pages at night. The next day he read twice the total pages as on Saturday. How many pages does he have left to read? | Ethan read a total of 40 pages + 10 pages = <<40+10=50>>50 pages on Saturday.
On the next day, he read a total of 50 pages x 2 = <<50*2=100>>100 pages.
The total number of pages that Ethan had read is 50 pages + 100 pages = <<50+100=150>>150 pages.
Therefore, Ethan has 360 pages - 150 pages = <<360-150=210>>210 pages left to read.
#### 210 | 210 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Ethan read a total of 40 pages + 10 pages = <<40+10=50>>50 pages on Saturday.
On the next day, he read a total of 50 pages x 2 = <<50*2=100>>100 pages.
The total number of pages that Ethan had read is 50 pages + 100 page</hint>
Ethan is reading a sci-fi book that has 360 pages. He read 40 pages on Saturday morning and another 10 pages at night. The next day he read twice the total pages as on Saturday. How many pages does he have left to read?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mary has 5 green crayons and 8 blue crayons of different shades. If she gives out 3 green crayons and 1 blue crayon to Becky, how many crayons does she have left? | She had 5+8 = <<5+8=13>>13 crayons to start with
She gave out 3+1 = <<3+1=4>>4 crayons to Becky
She will have 13-4 = <<13-4=9>>9 crayons left
#### 9 | 9 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>She had 5+8 = <<5+8=13>>13 crayons to start with
She gave out 3+1 = <<3+1=4>>4 crayons to Becky
She will have 13-4 =</hint>
Mary has 5 green crayons and 8 blue crayons of different shades. If she gives out 3 green crayons and 1 blue crayon to Becky, how many crayons does she have left?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mark is running for an election and wins 70% of the votes in an area with 100,000 voters. He got twice as many total votes in the remaining area. How many votes did he get in total? | He got 100,000*.7=<<100000*.7=70000>>70,000 votes from the first area
He got 70,000*2=<<70000*2=140000>>140,000 votes in the remaining areas
So in total he got 140,000+70,000=<<140000+70000=210000>>210,000 votes
#### 210,000 | 210,000 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He got 100,000*.7=<<100000*.7=70000>>70,000 votes from the first area
He got 70,000*2=<<70000*2=140000>>140,000 votes i</hint>
Mark is running for an election and wins 70% of the votes in an area with 100,000 voters. He got twice as many total votes in the remaining area. How many votes did he get in total?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
John climbs up 9 flights of stairs. Each flight is 10 feet. If each step is 18 inches, how many steps does he climb up? | He has to climb 9*10=<<9*10=90>>90 feet
That means he needs to climb 90*12=<<90*12=1080>>1080 inches
That means he needs to climb 1080/18=<<1080/18=60>>60 stairs
#### 60 | 60 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He has to climb 9*10=<<9*10=90>>90 feet
That means he needs to climb 90*1</hint>
John climbs up 9 flights of stairs. Each flight is 10 feet. If each step is 18 inches, how many steps does he climb up?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
A tiger shark has 180 teeth. A hammerhead shark has 1/6 the number of teeth that a tiger shark has. A great white shark has double the sum of teeth of a tiger shark and a hammerhead shark. How many teeth does a great white shark have? | Hammerhead shark:180/6=<<180/6=30>>30
Great White:2(180+30)=420 teeth
#### 420 | 420 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Hammerhead shark:180/6=<<180/6=30>>30
Great Whi</hint>
A tiger shark has 180 teeth. A hammerhead shark has 1/6 the number of teeth that a tiger shark has. A great white shark has double the sum of teeth of a tiger shark and a hammerhead shark. How many teeth does a great white shark have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
In Hawaii, they normally get an average of 2 inches of rain a day. With 100 days left in the year, they've gotten 430 inches of rain. How many inches on average do they need to finish the year with the normal average? | They need 730 inches of rain a year to average 2 inches a day because 365 x 2 = 730
They need 300 more inches because 730 - 430 = <<730-430=300>>300
They need 3 inches a day because 300 / 100 = <<300/100=3>>3
#### 3 | 3 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>They ne</hint>
In Hawaii, they normally get an average of 2 inches of rain a day. With 100 days left in the year, they've gotten 430 inches of rain. How many inches on average do they need to finish the year with the normal average?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Isabella is twice as old as Antonio. In 18 months, she will be 10 years old. How many months old is Antonio? | First, we determine that Isabella will be 10*12= <<10*12=120>>120 months old at age 10, to find a number to compare her age to Antonio's with.
Then we subtract the 18 months from the total of 120 months to find 120-18= <<120-18=102>>102 months, which is the age Isabella is currently.
Since at 102 months old Isabella is twice as old as Antonio, we take 102/2= <<102/2=51>>51 months as Antonio's age.
#### 51 | 51 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First, we determine that Isabella will be 10*12= <<10*12=120>>120 months old at age 10, to find a number to compare her age to Antonio's with.
Then we subtract the 18 months from the total of 120 months to find 120-18= <<120-18=102>>102 months, which is the age Isabella is currently.
Since at</hint>
Isabella is twice as old as Antonio. In 18 months, she will be 10 years old. How many months old is Antonio?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Collin has 25 flowers. Ingrid gives Collin a third of her 33 flowers. If each flower has 4 petals, how many petals does Collin have in total? | Ingrid gives Collin 33 / 3 = <<33/3=11>>11 flowers
Now Collin has 25 + 11 = <<25+11=36>>36 flowers
Since each flower has 4 petals, Collin has a total of 36 * 4 = <<36*4=144>>144 flowers
#### 144 | 144 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Ingrid gives Collin 33 / 3 = <<33/3=11>>11 flowers
Now Collin has 25 + 11 = <<25+11=36>>36 flowers
Since each flower has 4 petals, </hint>
Collin has 25 flowers. Ingrid gives Collin a third of her 33 flowers. If each flower has 4 petals, how many petals does Collin have in total?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
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? | Janet paid with $20 and got back $11, so her muffins cost $20 - $11 = $<<20-11=9>>9.
Each muffin cost 75 cents, so she bought 9/.75 = <<9/.75=12>>12 muffins
#### 12 | 12 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Janet paid with $20 and got back $11, so her muffins cost $20 - $11 = $<<20-11=9>>9.
Each muffin cost 75 cents, so she bought 9/.75 = <</hint>
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?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Candice buys all the bread she and her family needs for the week from a local bakery. She needs 2 loaves of white bread for sandwiches that cost $3.50 each. She also needs a baguette that costs $1.50 and 2 loaves of sourdough bread that cost $4.50 each. She also treats herself to a $2.00 almond croissant each visit. How much does Candice spend at the bakery over 4 weeks? | 2 loaves of white bread are $3.50 each so they cost 2*3.50 = $<<2*3.50=7.00>>7.00
2 loaves of sourdough bread are $4.50 each so they cost 2*4.50 = $<<2*4.50=9.00>>9.00
The white bread comes to $7.00, the sourdough is $9.00 and she gets a baguette for $1.50 and a croissant for $2.00 so she spends 7+9+1+2 = $19.50 per week
If she buys this same order of $19.50 every week for 4 weeks then she spends 19.50*4 = $<<19.50*4=78.00>>78.00 over 4 weeks
#### 78 | 78 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>2 loaves of white bread are $3.50 each so they cost 2*3.50 = $<<2*3.50=7.00>>7.00
2 loaves of sourdough bread are $4.50 each so they cost 2*4.50 = $<</hint>
Candice buys all the bread she and her family needs for the week from a local bakery. She needs 2 loaves of white bread for sandwiches that cost $3.50 each. She also needs a baguette that costs $1.50 and 2 loaves of sourdough bread that cost $4.50 each. She also treats herself to a $2.00 almond croissant each visit. How much does Candice spend at the bakery over 4 weeks?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Juniper, the Irish Setter, has 4 bones. Her master gives her enough bones to double her number of bones. Unfortunately, the neighbor's dog steals away two of Juniper's bones. How many bones does Juniper have remaining? | Doubling 4 bones gives her 4*2=<<4*2=8>>8 bones.
The neighbor's dog steals two bones, leaving 8-2=<<8-2=6>>6 bones.
#### 6 | 6 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Doubling 4 </hint>
Juniper, the Irish Setter, has 4 bones. Her master gives her enough bones to double her number of bones. Unfortunately, the neighbor's dog steals away two of Juniper's bones. How many bones does Juniper have remaining?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Inez has $150. She spends one-half on hockey skates and a certain amount on hockey pads. If Inez has $25 remaining, how much did the hockey pads cost, together, in dollars? | She spent 150/2=$<<150/2=75>>75 on hockey skates.
Let X be the amount Inez spent on hockey pads.
150-75-X=25
75-X=25
X=<<50=50>>50
The hockey pads cost $<<50=50>>50.
#### 50 | 50 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>She spent 150/2=$<<150/2=75>>75 on hockey skates.
Let X be the amount In</hint>
Inez has $150. She spends one-half on hockey skates and a certain amount on hockey pads. If Inez has $25 remaining, how much did the hockey pads cost, together, in dollars?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought 5 pansies at $2.50 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase? | 5 pansies at $2.50 each is 5*2.50 = $<<5*2.5=12.50>>12.50
5 petunias at $1.00 each 5*1 = $<<5*1=5.00>>5.00
All total he spends 12.50+12.50+5.00 = $<<12.50+12.50+5.00=30.00>>30.00
The sale is 10% off so 30*.10 = $<<30*.10=3.00>>3.00
The purchase total now comes to 30-3 = $<<30-3=27.00>>27.00
He pays with a $50 bill so 50-27 = $<<50-27=23.00>>23.00
#### 23 | 23 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>5 pansies at $2.50 each is 5*2.50 = $<<5*2.5=12.50>>12.50
5 petunias at $1.00 each 5*1 = $<<5*1=5.00>>5.00
All total he spends 12.50+12.50+5.00 = $<<12.50</hint>
Simon wanted to buy flowers that his mom could plant for Mother's Day. The garden center was offering 10% off all purchases. He bought 5 pansies at $2.50 each, one hydrangea that cost $12.50 and 5 petunias that cost $1.00 each. If he paid with a $50 bill, how much change would Simon receive back from his purchase?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
There are six peregrine falcons and 40 pigeons nesting in Malcolm's skyscraper. Each pigeon has 6 chicks. If the peregrines eat 30% of the pigeons, how many pigeons are left? | First find the total number of chicks: 40 pigeons * 6 chicks/pigeon = <<40*6=240>>240 chicks
Then add that to the number of adult pigeons to find the total number of pigeons: 240 chicks + 40 pigeons = <<240+40=280>>280 pigeons
Then multiply that number by 30% to find the number of pigeons that were eaten: 280 pigeons * 30% = <<280*30*.01=84>>84 pigeons
Then subtract that number from the total number of pigeons to find the number that are left: 280 pigeons - 84 pigeons = <<280-84=196>>196 pigeons
#### 196 | 196 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First find the total number of chicks: 40 pigeons * 6 chicks/pigeon = <<40*6=240>>240 chicks
Then add that to the number of adult pigeons to find the total number of pigeons: 240 chicks + 40 pigeons = <<240+40=280>>280 pigeons
Then multiply that number by 30% to find the number of pigeons t</hint>
There are six peregrine falcons and 40 pigeons nesting in Malcolm's skyscraper. Each pigeon has 6 chicks. If the peregrines eat 30% of the pigeons, how many pigeons are left?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Jean has 60 stuffies. She keeps 1/3 of them and then gives away the rest. She gives 1/4 of what she gave away to her sister Janet. How many stuffies did Janet get? | Jean kept 60/3=<<60/3=20>>20 stuffies
That means she gave away 60-20=<<60-20=40>>40 stuffies
So Janet got 40/4=<<40/4=10>>10 stuffies
#### 10 | 10 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Jean kept 60/3=<<60/3=20>>20 stuffies
That means she gave away 60-20=<<60-2</hint>
Jean has 60 stuffies. She keeps 1/3 of them and then gives away the rest. She gives 1/4 of what she gave away to her sister Janet. How many stuffies did Janet get?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Tracy has been collecting novels from her friends to donate to the Children For The Future charity organization. In the first week she collects a certain number of books. In the next five weeks, she collects ten times as many books as she did in the first week. How many books did she collect in the first week if she has 99 books now? | Let's say the number of books she had in the first week is x. After six weeks, Tracy has x + x*10 = 99 books.
Combining like terms, we get 11x = 99
Dividing both sides by 11, we find that the number of books Tracy had in the first week is x = 9
#### 9 | 9 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Let's say the number of books she had in the first week is x. A</hint>
Tracy has been collecting novels from her friends to donate to the Children For The Future charity organization. In the first week she collects a certain number of books. In the next five weeks, she collects ten times as many books as she did in the first week. How many books did she collect in the first week if she has 99 books now?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Toby is counting goldfish in the local pond. He knows that only 25% of goldfish are at the surface and the rest are too deep below the surface to be able to see. If he counts 15 goldfish, how many are below the surface? | There are 60 goldfish because 15 / .25 = <<15/.25=60>>60
75% of the fish are below the surface because 100 - 25 = <<100-25=75>>75
There are 45 goldfish below the surface because 60 x .75 = <<60*.75=45>>45
#### 45 | 45 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>There are 60 goldfish because 15 / .25 = <<15/.25=60>>60
75% of the fish are below the surface because 100 - 25 = <<100-25=75>>75
There are 45 goldfish below the surface because </hint>
Toby is counting goldfish in the local pond. He knows that only 25% of goldfish are at the surface and the rest are too deep below the surface to be able to see. If he counts 15 goldfish, how many are below the surface?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
You have 32$ to spend on groceries. You buy a loaf of bread for 3$, a candy bar for 2$, and 1/3 of whats left on a Turkey. How much money do you have left? | 32-3=<<32-3=29>>29
29-2=<<29-2=27>>27
27(1/3)=9
27-9=<<27-9=18>>18$
#### 18 | 18 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>32-3=<<32-3=29>>29
29</hint>
You have 32$ to spend on groceries. You buy a loaf of bread for 3$, a candy bar for 2$, and 1/3 of whats left on a Turkey. How much money do you have left?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Malik rushed for 18 yards in each of 4 games. Josiah ran for 22 yards in each of 4 games. Darnell had an average of 11 yards rushed for each of the 4 games. How many yards did the 3 athletes run in total? | Malik = 18 * 4 = <<18*4=72>>72 yards
Josiah = 22 * 4 = <<22*4=88>>88
Darnell = 11 * 4 = <<11*4=44>>44 yards
Total yards = 72 + 88 + 44 = <<72+88+44=204>>204 yards
The 3 athletes ran 204 yards.
#### 204 | 204 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Malik = 18 * 4 = <<18*4=72>>72 yards
Josiah = 22 * 4 = <<22*4=8</hint>
Malik rushed for 18 yards in each of 4 games. Josiah ran for 22 yards in each of 4 games. Darnell had an average of 11 yards rushed for each of the 4 games. How many yards did the 3 athletes run in total?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mrs. Lacson harvested 80 sweet potatoes. She sold 20 of them to Mrs. Adams and 15 of them to Mr. Lenon. How many sweet potatoes are not yet sold? | Mrs. Lacson sold a total of 20 + 15 = <<20+15=35>>35 sweet potatoes.
Hence, there are still 80 - 35 = <<80-35=45>>45 sweet potatoes left unsold.
#### 45 | 45 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Mrs. Lacson sold a total of 20 + 15 = <<20+15=35>>35 sweet potatoes.
Hence, there are still 80 - 35 = <<80-35=45>>45 sweet potatoes </hint>
Mrs. Lacson harvested 80 sweet potatoes. She sold 20 of them to Mrs. Adams and 15 of them to Mr. Lenon. How many sweet potatoes are not yet sold?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Marie has 4 notebooks with 20 stamps each. She also has two binders with 50 stamps each. If she decides to only keep 1/4 of the stamps, how many stamps can she give away? | Marie has 4 x 20 = <<4*20=80>>80 stamps from her notebooks.
And she has 2 x 50 = <<2*50=100>>100 stamps from her binders.
So she has a total of 80 + 100 = <<80+100=180>>180 stamps.
Marie decided to keep 180 x 1/4 = <<180*1/4=45>>45 stamps only.
Therefore, she can give away 180 - 45 = <<180-45=135>>135 stamps.
#### 135 | 135 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Marie has 4 x 20 = <<4*20=80>>80 stamps from her notebooks.
And she has 2 x 50 = <<2*50=100>>100 stamps from her binders.
So she has a total of 80 + 100 = <<80+100=180>>180 stamps.
Marie decided to keep 180 x 1/4 = <<180*1/4=45>>45 stamps only.
Therefore, she can give away 180 - 45 = <<180-45=1</hint>
Marie has 4 notebooks with 20 stamps each. She also has two binders with 50 stamps each. If she decides to only keep 1/4 of the stamps, how many stamps can she give away?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary? | First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $<<40000+2000=42000>>42,000
Then, figure out how much Bill has before he pays sales taxes: $42,000 + $3,000 = $<<42000+3000=45000>>45,000
Next, figure out what percent of his salary Bill keeps after income tax: 100% - 10% = 90%
Now we know that .9g = $45,000, where g is Bill's gross salary
Now we can divide both sides of the equation by .9 to find that g = $50,000
#### 50000 | 50000 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First, figure out how much Bill has before he pays property taxes: $40,000 + $2,000 = $<<40000+2000=42000>>42,000
Then, figure out how much Bill has before he pays sales taxes: $42,000</hint>
Bill's take-home salary is $40,000. He pays $2,000 in property taxes, $3,000 in sales taxes, and 10% of his gross salary in income taxes. What is Bill's gross salary?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
The Donaldsons pay $15 per hour for babysitting. The Merck family pays $18 per hour and the Hille family pays $20 per hour for babysitting. Layla babysat for the Donaldsons for 7 hours, the Merck family for 6 hours and the Hille family for 3 hours. How many dollars did Layla earn babysitting? | Donaldsons pay $15/hour = 15*7 = $<<15*7=105>>105.
The Mercks pay $18/hour = 18*6 = $<<18*6=108>>108.
The Hilles pay $20/hour = 20*3 = <<20*3=60>>60.
The total amount Layla earned is 105 + 108 + 60 = <<105+108+60=273>>273.
Layla earned $273 for babysitting.
#### 273 | 273 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Donaldsons pay $15/hour = 15*7 = $<<15*7=105>>105.
The Mer</hint>
The Donaldsons pay $15 per hour for babysitting. The Merck family pays $18 per hour and the Hille family pays $20 per hour for babysitting. Layla babysat for the Donaldsons for 7 hours, the Merck family for 6 hours and the Hille family for 3 hours. How many dollars did Layla earn babysitting?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Kyle has $12 less than 3 times what Dave has. Kyle then spends a third of it going snowboarding. If Dave has $46, how much money does Kyle have? | Kyle has 46*3-12 = <<46*3-12=126>>126 dollars.
Kyle spends 126/3 = <<126/3=42>>42 dollars going snowboarding.
Kyle has 126-42 = <<126-42=84>>84 dollars left.
#### 84 | 84 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Kyle has 46*3-12 = <<46*3-12=126>>126 dollars.
Kyle spends 126/3 = <<126/3=42>>42 dollars going snowboarding.
Kyle has 126-42 = <<126</hint>
Kyle has $12 less than 3 times what Dave has. Kyle then spends a third of it going snowboarding. If Dave has $46, how much money does Kyle have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Roberto is raising chickens for eggs. He buys 4 chickens for $20 each. They cost $1 in total a week to feed and each produces 3 eggs a week that will last forever. He used to buy 1 dozen eggs a week and spent $2 per dozen. After how many weeks will the chickens be cheaper than buying his eggs? | The chickens cost $80 because 4 x 20 = <<4*20=80>>80
His chickens produce a dozen eggs a week because 4 x 3 = <<4*3=12>>12
Each week that he has chickens is $1 cheaper than buying eggs because 2 - 1 = <<2-1=1>>1
After 80 weeks his chickens will be paid off because 80 / 1 = <<80/1=80>>80
After 81 weeks the chickens will be cheaper than buying eggs because 80 + 1 = <<80+1=81>>81
#### 81 | 81 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The chickens cost $80 because 4 x 20 = <<4*20=80>>80
His chickens produce a dozen eggs a week because 4 x 3 = <<4*3=12>>12
Each week that he</hint>
Roberto is raising chickens for eggs. He buys 4 chickens for $20 each. They cost $1 in total a week to feed and each produces 3 eggs a week that will last forever. He used to buy 1 dozen eggs a week and spent $2 per dozen. After how many weeks will the chickens be cheaper than buying his eggs?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Mitchell has 30 pencils. He has 6 more pencils than Antonio. How many pencils does Mitchell and Antonio have together? | Antonio has 30-6 = <<30-6=24>>24 pencils
Antonio and Mitchell have 24+30 = <<24+30=54>>54 pencils together.
#### 54 | 54 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Antonio has 30-6 = <<30-6=24>>24 pencils
Antonio and Mitchell h</hint>
Mitchell has 30 pencils. He has 6 more pencils than Antonio. How many pencils does Mitchell and Antonio have together?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Johannes owns a vegetable shop, he sells cabbage for $2 per kilogram. If Johannes was able to earn $30 last Wednesday, $24 last Friday, and $42 today, how many kilograms of cabbage was he able to sell? | Johannes was able to sell $30 / $2 = <<30/2=15>>15 kilograms last Wednesday.
He was able to sell $24 / $2 = <<24/2=12>>12 kilograms last Friday.
And he was able to sell $42 / $2 = <<42/2=21>>21 kilograms today.
Therefore, Johannes was able to sell is 15 + 12 + 21 = <<48=48>>48 kilograms of cabbage.
#### 48 | 48 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Johannes was able to sell $30 / $2 = <<30/2=15>>15 kilograms last Wednesday.
He was able to sell $24 / $2 = <<24/2=12>>12 kilograms last Friday.
And he was able to sell $42 / $2 = <<42/2=21>>21 kilograms today.
Therefore, Johannes </hint>
Johannes owns a vegetable shop, he sells cabbage for $2 per kilogram. If Johannes was able to earn $30 last Wednesday, $24 last Friday, and $42 today, how many kilograms of cabbage was he able to sell?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Macy has a goal of running a total of 24 miles per week. If she runs 3 miles per day, how many miles does Macy have left to run after 6 days so that she could meet her goal? | In 6 days, Macy is able to run 3 x 6 = <<3*6=18>>18 miles.
Therefore, she has 24 – 18 = <<24-18=6>>6 miles left to run to meet her goal.
#### 6 | 6 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>In 6 days, Macy is able to run 3 x 6 = <<3*6=18>>1</hint>
Macy has a goal of running a total of 24 miles per week. If she runs 3 miles per day, how many miles does Macy have left to run after 6 days so that she could meet her goal?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Janine read 5 books last month. This month, she read twice as many books. If each book has 10 pages, how many pages did Janine read in two months? | Janine read 5 x 2 = <<5*2=10>>10 books this month.
So, she read a total of 5 + 10 = <<5+10=15>>15 books.
Therefore, she read 15 x 10 = <<15*10=150>>150 pages in all.
#### 150 | 150 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Janine read 5 x 2 = <<5*2=10>>10 books this month.
So, she read a total of 5 + 10 = <<5+10=15>>15 books.
Therefore, she read 15 x 10 = <<15*</hint>
Janine read 5 books last month. This month, she read twice as many books. If each book has 10 pages, how many pages did Janine read in two months?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Grace can read a 200-page book in 20 hours. How long would it take her to finish reading a 250-page book at this constant rate? | Grace can read 200/20 = <<200/20=10>>10 pages in 1 hour.
So she can finish a 250-page book in 250/10 = <<250/10=25>>25 hours.
#### 25 | 25 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Grace can read 200/20 = <<200/20=10>>10 pages in 1 hour.
So she can finish a 250-page book in 250/10 =</hint>
Grace can read a 200-page book in 20 hours. How long would it take her to finish reading a 250-page book at this constant rate?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Felicity and Adhira took separate trips. Felicity used 5 less gallons of gas than four times the number of gallons that Adhira used for her trip. Together the girls used 30 gallons of gas. How many gallons did Felicity use? | Let A = Adhira's gallons
Felicity = 4A - 5
5A - 5 = 30
5A = 35
A = <<7=7>>7
Felicity used 23 gallons of gas for her trip.
#### 23 | 23 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Let A = Adhira's gallons
Felicity = 4A - 5
5A - 5 = 30
5A </hint>
Felicity and Adhira took separate trips. Felicity used 5 less gallons of gas than four times the number of gallons that Adhira used for her trip. Together the girls used 30 gallons of gas. How many gallons did Felicity use?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold 20 iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today? | The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $<<100*1000=100000>>100,000
The sales for iPads today were 20 iPads * $900 per iPad = $<<20*900=18000>>18,000
The sales for Apple TV’s today were 80 * $200 = $<<80*200=16000>>16,000
The total sales for Apple at their New York store today was $100,000 + $18,000 + $16,000 = $<<100000+18000+16000=134000>>134,000
The total number of products sold was 100 + 20 + 80 = <<100+20+80=200>>200
The average cost per product sold was $134,000 total sales / 200 total products = $<<134000/200=670>>670
#### 670 | 670 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The sales for iPhones were 100 iPhones * $1000 per iPhone on average = $<<100</hint>
Apple sold 100 iPhones at their New York store today for an average cost of $1000. They also sold 20 iPads for an average cost of $900 and 80 Apple TVs for an average cost of $200. What was the average cost across all products sold today?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Marianne was 20 years old when Bella was 8 years old. How old will Marianne be when Bella turns 18? | Marianne is 20 - 8 = <<20-8=12>>12 years older than Bella.
Bella will turn 18 in 18 - 8 = <<18-8=10>>10 years.
So, Marianne will be 20 + 10 = <<20+10=30>>30 years old then.
#### 30 | 30 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Marianne is 20 - 8 = <<20-8=12</hint>
Marianne was 20 years old when Bella was 8 years old. How old will Marianne be when Bella turns 18?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Roosevelt High school plays a basketball tournament with Greendale High school. Roosevelt high school scores 30 points in the first game, half as much in the second game, and triple as much as the second game in the third game. At the end of the tournament, Roosevelt high school receives 50 bonus points and Greendale high school has 10 points less than Roosevelt high school. How many points does Greendale high school have? | The points Roosevelt high school has for the second game are 30/2=<<30/2=15>>15 points.
The points Roosevelt high school has for the third game are 15*3=<<15*3=45>>45 points.
The total points Roosevelt high school has for the tournament are 30+15+45+50=<<30+15+45+50=140>>140 points.
The total points Greendale high school has for the tournament are 140-10=<<140-10=130>>130 points.
#### 130 | 130 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The points Roosevelt high school has for the second game are 30/2=<</hint>
Roosevelt High school plays a basketball tournament with Greendale High school. Roosevelt high school scores 30 points in the first game, half as much in the second game, and triple as much as the second game in the third game. At the end of the tournament, Roosevelt high school receives 50 bonus points and Greendale high school has 10 points less than Roosevelt high school. How many points does Greendale high school have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Roger's age is 5 more than twice Jill's age. In 15 years, their age difference will be 30 years less than Finley's age. If Jill is 20 years old now, how old is Finley? | Twice Jill's age is 2*20=<<2*20=40>>40
If Roger's age is 5 more than twice Jill's age, he is 5+40=45 years old.
In 15 years, Jill will be 20+15=<<20+15=35>>35 years old.
Roger's age will be 45+15=<<45+15=60>>60 years old in 15 years.
The age difference between Roger and Jill in fifteen years will be 60-35=<<60-35=25>>25 years
In 15 years, the age difference between Roger and Jill will be 30 years less than Finley's age, meaning in fifteen years Finley will be 30+25=<<30+25=55>>55 years old.
Currently, Finley is 55-15=<<55-15=40>>40 years old.
#### 40 | 40 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Twice Jill's age is 2*20=<<2*20=40>>40
If Roger's age is 5 more than twice Jill's age, he is 5+40=45 years old.
In 15 years, Jill will be 20+15=<<20+15=35>>35 years old.
Roger's age will be 45+15=<<45+15=60>>60 years old in 15 years.
The age difference between Roger and Jill in fifteen years will be 60-35=<<60-35=25>>25 years
In 15 years, the age difference between</hint>
Roger's age is 5 more than twice Jill's age. In 15 years, their age difference will be 30 years less than Finley's age. If Jill is 20 years old now, how old is Finley?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have? | First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = <<6+6=12>>12
Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = <<24-12=12>>12
Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = <<2=2>>2s
We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12
Combine like terms to get 3s = 12
Divide both sides of the equation to get s = <<4=4>>4
Now multiply the number of parking tickets Sarah got by 2 to find the number Mark got: 4 * 2 = <<4*2=8>>8
#### 8 | 8 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>First figure out how many total speeding tickets the two people got by adding the 6 speeding tickets Sarah got to the equal number (6) that Mark got: 6 + 6 = <<6+6=12>>12
Now subtract the combined number of speeding tickets from the total number of tickets to find the combined number of parking tickets: 24 - 12 = <<24-12=12>>12
Now express Mark's number of parking tickets in terms of the number of parking tickets Sarah got: m = <<2=2>>2s
We know that m + s = 12, so substitute in the value of m from the previous step to get 2s + s = 12
Combine like terms to get 3s = 12
Divide both sides</hint>
Between them, Mark and Sarah have 24 traffic tickets. Mark has twice as many parking tickets as Sarah, and they each have an equal number of speeding tickets. If Sarah has 6 speeding tickets, how many parking tickets does Mark have?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
The United States flag has 50 stars, one for every state in the union, and 13 stripes, which represent the original 13 colonies. Pete, inspired by history, decided to make his own flag. He used circles, to represent how many scoops of ice cream he can consume in one sitting, and squares, to represent the number of brownies he has hidden beneath his bed. For circles, he used 3 less than half the number of stars on the US flag, and for squares, he used six more than twice the number of stripes on the US flag. What is the combined total number of circles and squares on Pete's flag? | Half the number of stars on the US flag is 50/2=<<50/2=25>>25
Three less than half the number of stars on the US flag is 25-3=<<25-3=22>>22 circles.
Twice the number of stripes on the US flag is 13*2=<<13*2=26>>26.
Six more than twice the number of stripes on the US flag is 26+6=32 squares.
In total, Pete's flag has 22+32=<<22+32=54>>54 circles and squares.
#### 54 | 54 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Half the number of stars on the US flag is 50/2=<<50/2=25>>25
Three less than half the number of stars on the US flag is 25-3=<<25-3=22>>22 circles.
Twice the number of stripes on the US flag is 13*2=<<13*2=26>>26.
Six more than twice the number of stripes on the US flag is 26+6=32 squares.
In total, Pete's flag has 22+3</hint>
The United States flag has 50 stars, one for every state in the union, and 13 stripes, which represent the original 13 colonies. Pete, inspired by history, decided to make his own flag. He used circles, to represent how many scoops of ice cream he can consume in one sitting, and squares, to represent the number of brownies he has hidden beneath his bed. For circles, he used 3 less than half the number of stars on the US flag, and for squares, he used six more than twice the number of stripes on the US flag. What is the combined total number of circles and squares on Pete's flag?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
During the outbreak of the coronavirus, a company had to ramp up its toilet paper production three times more to cover the increased demand. If the company was producing 7000 toilet paper per day, calculate its total toilet paper production during March of 2020 after increasing its production. | If the company was producing 7000 toilet paper per day, when it ramped up its toilet paper production three times per day, it produced 3*7000 = 21000 more per day.
The total toilet production by the company increased to 7000+21000 = <<7000+21000=28000>>28000
In March, with 31 days, the company produced a total of 28000*31 = <<28000*31=868000>>868000 toilet papers
#### 868000 | 868000 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>If the company was producing 7000 toilet paper per day, when it ramped up its toilet paper production three times per day,</hint>
During the outbreak of the coronavirus, a company had to ramp up its toilet paper production three times more to cover the increased demand. If the company was producing 7000 toilet paper per day, calculate its total toilet paper production during March of 2020 after increasing its production.<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
At a gathering, it was reported that 26 people took wine, 22 people took soda, and 17 people took both drinks. If each person could have taken one or more drinks regardless of what was reported, how many people altogether were at the gathering? | The number of people who took only wine is the difference between the number of people who took wine and those who took wine and soda which is 26 -17 = <<26-17=9>>9 people
In the same manner, the number of people who took only soda is 22-17 = <<22-17=5>>5 people
Therefore the total number present is the sum of those who took wine only, those who took soda only and those who took both which is 9+5+17 = <<9+5+17=31>>31 people
#### 31 | 31 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The number of people who took on</hint>
At a gathering, it was reported that 26 people took wine, 22 people took soda, and 17 people took both drinks. If each person could have taken one or more drinks regardless of what was reported, how many people altogether were at the gathering?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Pria bought a new car that advertised an estimated gas mileage of 35 miles per gallon. The car has a 12-gallon tank. She filled her car full of gas and was able to drive a total of 372 miles. What was the difference, in miles per gallon, between Pria's mileage and the advertised mileage? | Pria's car achieved a rate of 372 miles / 12 gallons = <<372/12=31>>31 miles per gallon.
Therefore, it was a difference of 35 - 31 = <<35-31=4>>4 miles per gallon.
#### 4 | 4 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Pria's car achieved a rate of 372 miles / 12 gallons = <<372/12=31>>31 miles p</hint>
Pria bought a new car that advertised an estimated gas mileage of 35 miles per gallon. The car has a 12-gallon tank. She filled her car full of gas and was able to drive a total of 372 miles. What was the difference, in miles per gallon, between Pria's mileage and the advertised mileage?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Bob bought 2 show dogs for $250.00 each to breed as a side business. The female just had a litter of 6 puppies. If he sells each puppy for $350.00, what is his total profit? | He bought 2 dogs for $250.00 each so they costs 2*250 = $<<2*250=500.00>>500.00
He sells each of the 6 puppies for $350.00 so he'll make 6*350 = $<<6*350=2100.00>>2,100.00
He made $2,100 on the puppies but spent $500.00 to buy the dogs so his total profit is 2,100-500 = $<<2100-500=1600.00>>1,600.00
#### 1600 | 1600 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>He bought 2 dogs for $250.00 each so they costs 2*250 = $<<2*250=500.0</hint>
Bob bought 2 show dogs for $250.00 each to breed as a side business. The female just had a litter of 6 puppies. If he sells each puppy for $350.00, what is his total profit?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Freddie and his team are collecting blankets for three days to be donated to the Children Shelter Organization. There are 15 people on the team. On the first day, each of them gave 2 blankets. On the second day, they tripled the number they collected on the first day by asking door-to-door. On the last day, they set up boxes at schools and got a total of 22 blankets. How many blankets did they collect for the three days for donation? | They collected 15 x 2 = <<15*2=30>>30 blankets on the first day.
Freddie and his team collected 30 x 3 = <<30*3=90>>90 blankets on the second day.
They collected a total of 90 + 22+30 = <<90+22+30=142>>142 for three days.
#### 142 | 142 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>They collected 15 x 2 = <<15*2=30>>30 blankets on the first day.
Fred</hint>
Freddie and his team are collecting blankets for three days to be donated to the Children Shelter Organization. There are 15 people on the team. On the first day, each of them gave 2 blankets. On the second day, they tripled the number they collected on the first day by asking door-to-door. On the last day, they set up boxes at schools and got a total of 22 blankets. How many blankets did they collect for the three days for donation?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Gondor is a technician, he earns $10 from repairing a phone and $20 from repairing a laptop. If he was able to repair 3 phones last Monday, 5 phones last Tuesday, 2 laptops on Wednesday, and 4 laptops last Thursday, how much does he earn in total? | Gondor was able to repair a total of 3+5= <<3+5=8>>8 phones from Monday to Tuesday.
And the total amount he earned is $10x8= $<<10*8=80>>80.
He was able to repair a total of 2+4= <<2+4=6>>6 laptops from Wednesday to Thursday.
So, the total amount he earned is $20x6= $<<20*6=120>>120.
Therefore, the total amount he earned is $120+$80= $<<120+80=200>>200.
#### 200 | 200 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Gondor was able to repair a total of 3+5= <<3+5=8>>8 phones from Monday to Tuesday.
And the total amount he earned is $10x8= $<<10*8=80>>80.
He was able to repair a total of 2+4= <<2+4=6>>6 laptops from Wednesday to Thursday.
So, the total amount he earned is $20x6= $<<20*6=120>>120.
Therefore, the total amount he earned is $120+$80= $<<</hint>
Gondor is a technician, he earns $10 from repairing a phone and $20 from repairing a laptop. If he was able to repair 3 phones last Monday, 5 phones last Tuesday, 2 laptops on Wednesday, and 4 laptops last Thursday, how much does he earn in total?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Annie has some money. The restaurant next door sells hamburgers for $4 each. The restaurant across the street sells milkshakes for $5 each. Annie buys 8 hamburgers and 6 milkshakes. She has $70 left. How much money, in dollars, did Annie have at first? | Annie spends 4*8=<<4*8=32>>32 dollars on hamburgers.
Annie spends 5*6=<<5*6=30>>30 dollars on milkshakes.
Annie spends 32+30=<<32+30=62>>62 dollars on hamburgers and milkshakes.
Annie had 62+70=<<62+70=132>>132 dollars at first.
#### 132 | 132 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Annie spends 4*8=<<4*8=32>>32 dollars on hamburgers.
Annie spends 5*6=<<5*6=30>>30 dollars on milkshakes.
Annie spends 32+30=<<32+30=62></hint>
Annie has some money. The restaurant next door sells hamburgers for $4 each. The restaurant across the street sells milkshakes for $5 each. Annie buys 8 hamburgers and 6 milkshakes. She has $70 left. How much money, in dollars, did Annie have at first?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Edith is a receptionist at a local office and is organizing files into cabinets. She had 60 files and finished organizing half of them this morning. She has another 15 files to organize in the afternoon and the rest of the files are missing. How many files are missing? | Edith has already organized 60 files / 2 = <<60/2=30>>30 files in the morning.
She has files left to organize so she must still have 30 + 15 = <<30+15=45>>45 files in the office.
This means there are 60 total files – 45 organized files = <<60-45=15>>15 missing files.
#### 15 | 15 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Edith has already organized 60 files / 2 = <<60/2=30>>30 files in the morning.
She has files left to organize so she must still ha</hint>
Edith is a receptionist at a local office and is organizing files into cabinets. She had 60 files and finished organizing half of them this morning. She has another 15 files to organize in the afternoon and the rest of the files are missing. How many files are missing?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare? | Ruth's two cousins ate a total of 2 x 1 = <<2*1=2>>2 sandwiches.
So there were 3 + 2 = <<3+2=5>>5 sandwiches left before her two cousins arrived.
Before her first cousin arrived, there were 5 + 2 = <<5+2=7>>7 sandwiches.
Ruth and her brother had 1 + 2 = <<1+2=3>>3 sandwiches altogether.
Therefore, Ruth prepared 7 + 3 = <<7+3=10>>10 sandwiches."
#### 10 | 10 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>Ruth's two cousins ate a total of 2 x 1 = <<2*1=2>>2 sandwiches.
So there were 3 + 2 = <<3+2=5>>5 sandwiches left before her two cousins arrived.
Before her first cousin arrived, there were 5 + 2 = <<5+2=7>>7 sandwiches.
Ruth and her brother had 1 + </hint>
Ruth prepared sandwiches. She ate 1 sandwich and gave 2 sandwiches to her brother. Her first cousin arrived and ate 2 sandwiches. Then her two other cousins arrived and ate 1 sandwich each. There were 3 sandwiches left. How many sandwiches did Ruth prepare?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Cheryl needs 4 cups of basil to make 1 cup of pesto. She can harvest 16 cups of basil from her farm every week for 8 weeks. How many cups of pesto will she be able to make? | She harvests 16 cups of basil every week for 8 weeks for a total of 16*8 = <<16*8=128>>128 cups of basil
She needs 4 cups of basil to make 1 cup of pesto and she has 128 cups of basil so she can make 128/4 = 32 cups of pesto
#### 32 | 32 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>She harvests 16 cups of basil every week for 8 weeks for a total of 16*8 = <<16*8=128>>128 cups of basil
She needs 4 cups of basil to make 1 cup of pesto and sh</hint>
Cheryl needs 4 cups of basil to make 1 cup of pesto. She can harvest 16 cups of basil from her farm every week for 8 weeks. How many cups of pesto will she be able to make?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need? | The second patient needs 6+5 = <<6+5=11>>11 sessions.
The first two patients need 6+11=<<6+11=17>>17 sessions total.
25-17=<<25-17=8>>8 sessions.
#### 8 | 8 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The second patient needs 6+5 = <<6+5=11>>11 sessions.
The first two patients need 6+11=<<6+11=17>>17 sessions total.
25-17=<<25</hint>
A psychiatrist has 4 patients that need 25 sessions in total. One of the patients needs 6 sessions. Another patient needs 5 more than that. How many sessions would the remaining patients need?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
The total number of dogs at an animal rescue center is 200. Mr. Tanner, the manager at the rescue center, gets a call that 100 dogs at another rescue center are to be moved because of weather problems. He agrees to bring the dogs to his rescue center, and after one week, gives out 40 animals for adoption. After a month, 60 more dogs were adopted by dog lovers. What's the total number of remaining animals in the adoption center after the last adoptions? | After taking in 100 more dogs, the number of dogs in the rescue center increased to 200+100 = 300.
After a week, the number of dogs was reduced to 300 - 40 = <<300-40=260>>260 after the adoptions.
So, there are 260 - 60 = 200 dogs left after 60 more dogs were adopted.
#### 200 | 200 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>After taking in 100 more dogs, the number of dogs in the rescue center increased to 200+100 = 300.
After a week, the number of dogs was reduced to 300 - 40 = <<300-40=260>>260 after the adoptions.
So, </hint>
The total number of dogs at an animal rescue center is 200. Mr. Tanner, the manager at the rescue center, gets a call that 100 dogs at another rescue center are to be moved because of weather problems. He agrees to bring the dogs to his rescue center, and after one week, gives out 40 animals for adoption. After a month, 60 more dogs were adopted by dog lovers. What's the total number of remaining animals in the adoption center after the last adoptions?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Joseph and his friends watched two movies in his house. The first movie is 1 hour and 30 minutes long while the second movie is 30 minutes longer than the first. Before the movies, they spent 10 minutes making popcorn and twice as long making fries. How long, in hours, did it take Joseph and his friends to cook and watch the movies? | The first movie was 60 + 30 = <<60+30=90>>90 minutes long since an hour has 60 minutes.
The second movie was 90 + 30 = <<90+30=120>>120 minutes long.
It took them a total of 90 + 120 = <<90+120=210>>210 minutes to watch the two movies.
It took them 10 x 2 = <<10*2=20>>20 minutes to cook the fries.
Thus, it took them a total of 10 + 20 = <<10+20=30>>30 minutes to cook.
So, they spent 210 + 30 = <<210+30=240>>240 minutes watching the movies and cooking.
In hours, this is equal to 240/60 = <<240/60=4>>4 hours.
#### 4 | 4 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>The first movie was 60 + 30 = <<60+30=9</hint>
Joseph and his friends watched two movies in his house. The first movie is 1 hour and 30 minutes long while the second movie is 30 minutes longer than the first. Before the movies, they spent 10 minutes making popcorn and twice as long making fries. How long, in hours, did it take Joseph and his friends to cook and watch the movies?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Every 4 weeks, Helen hand washes her silk pillowcases. It takes 30 minutes to hand wash all of them. In 1 year, how much time does Helen spend hand washing her pillowcases? | She hand washes them every 4 weeks and there are 52 weeks in a year so she washes them 52/4 = <<52/4=13>>13 times per year
It takes her 30 minutes to hand wash the pillowcases and she does this 13 times per year for a total of 30*13 = <<30*13=390>>390 minutes per year
#### 390 | 390 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>She hand washes them every 4 weeks and there are 52 weeks in a year so she washes them 52/4 = <<52/4=13>>13 times per year
It takes her 30 minutes to hand wash the pillowcases and she does this 13 times per year for a total of 30*</hint>
Every 4 weeks, Helen hand washes her silk pillowcases. It takes 30 minutes to hand wash all of them. In 1 year, how much time does Helen spend hand washing her pillowcases?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
On our last vacation, I bought 4 times as many tetras as Tim bought clowns. Tim bought twice as many clowns as Rick bought guppies. If Rick bought 30 guppies, how many animals did we buy on our last vacation? | If Rick bought 30 guppies, Tim bought 2 clowns/guppy * 30 guppies = <<2*30=60>>60 clowns.
The total number of tetras bought by you is 4 tetras/clown * 60 clowns = <<4*60=240>>240 tetras
In total, the three bought 240 tetras + 60 clowns + 30 guppies = <<240+60+30=330>>330 animals.
#### 330 | 330 | <|im_start|>system
You are a helpful assistant. You first think about the reasoning process along with math in your mind and then provide the user with the answer.<|im_end|>
<|im_start|>user
Show your work in <think> </think> tags. And return the final equation and answer in <answer> </answer> tags,
<hint>If Rick bought 30 guppies, Tim bought 2 clowns/guppy * 30 guppies = <<2*30=60>>60 clowns.
The total number of tetras bought by you is 4 tetras/clown * 60 clowns = <<4*</hint>
On our last vacation, I bought 4 times as many tetras as Tim bought clowns. Tim bought twice as many clowns as Rick bought guppies. If Rick bought 30 guppies, how many animals did we buy on our last vacation?<|im_end|>
<|im_start|>assistant
Let solve this step by step.
<think> |
Subsets and Splits