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Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?
|
Natalia sold 48/2 = <<48/2=24>>24 clips in May.
Natalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May.
#### 72
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Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?
|
Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.
Working 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10.
#### 10
|
Betty is saving money for a new wallet which costs $100. Betty has only half of the money she needs. Her parents decided to give her $15 for that purpose, and her grandparents twice as much as her parents. How much more money does Betty need to buy the wallet?
|
In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.
Betty's grandparents gave her 15 * 2 = $<<15*2=30>>30.
This means, Betty needs 100 - 50 - 30 - 15 = $<<100-50-30-15=5>>5 more.
#### 5
|
Julie is reading a 120-page book. Yesterday, she was able to read 12 pages and today, she read twice as many pages as yesterday. If she wants to read half of the remaining pages tomorrow, how many pages should she read?
|
Maila read 12 x 2 = <<12*2=24>>24 pages today.
So she was able to read a total of 12 + 24 = <<12+24=36>>36 pages since yesterday.
There are 120 - 36 = <<120-36=84>>84 pages left to be read.
Since she wants to read half of the remaining pages tomorrow, then she should read 84/2 = <<84/2=42>>42 pages.
#### 42
|
James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?
|
He writes each friend 3*2=<<3*2=6>>6 pages a week
So he writes 6*2=<<6*2=12>>12 pages every week
That means he writes 12*52=<<12*52=624>>624 pages a year
#### 624
|
Mark has a garden with flowers. He planted plants of three different colors in it. Ten of them are yellow, and there are 80% more of those in purple. There are only 25% as many green flowers as there are yellow and purple flowers. How many flowers does Mark have in his garden?
|
There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.
So in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.
Purple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.
That means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.
So in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden.
#### 35
|
Albert is wondering how much pizza he can eat in one day. He buys 2 large pizzas and 2 small pizzas. A large pizza has 16 slices and a small pizza has 8 slices. If he eats it all, how many pieces does he eat that day?
|
He eats 32 from the largest pizzas because 2 x 16 = <<2*16=32>>32
He eats 16 from the small pizza because 2 x 8 = <<2*8=16>>16
He eats 48 pieces because 32 + 16 = <<32+16=48>>48
#### 48
|
Ken created a care package to send to his brother, who was away at boarding school. Ken placed a box on a scale, and then he poured into the box enough jelly beans to bring the weight to 2 pounds. Then, he added enough brownies to cause the weight to triple. Next, he added another 2 pounds of jelly beans. And finally, he added enough gummy worms to double the weight once again. What was the final weight of the box of goodies, in pounds?
|
To the initial 2 pounds of jelly beans, he added enough brownies to cause the weight to triple, bringing the weight to 2*3=<<2*3=6>>6 pounds.
Next, he added another 2 pounds of jelly beans, bringing the weight to 6+2=<<6+2=8>>8 pounds.
And finally, he added enough gummy worms to double the weight once again, to a final weight of 8*2=<<8*2=16>>16 pounds.
#### 16
|
Alexis is applying for a new job and bought a new set of business clothes to wear to the interview. She went to a department store with a budget of $200 and spent $30 on a button-up shirt, $46 on suit pants, $38 on a suit coat, $11 on socks, and $18 on a belt. She also purchased a pair of shoes, but lost the receipt for them. She has $16 left from her budget. How much did Alexis pay for the shoes?
|
Let S be the amount Alexis paid for the shoes.
She spent S + 30 + 46 + 38 + 11 + 18 = S + <<+30+46+38+11+18=143>>143.
She used all but $16 of her budget, so S + 143 = 200 - 16 = 184.
Thus, Alexis paid S = 184 - 143 = $<<184-143=41>>41 for the shoes.
#### 41
|
Tina makes $18.00 an hour. If she works more than 8 hours per shift, she is eligible for overtime, which is paid by your hourly wage + 1/2 your hourly wage. If she works 10 hours every day for 5 days, how much money does she make?
|
She works 8 hours a day for $18 per hour so she makes 8*18 = $<<8*18=144.00>>144.00 per 8-hour shift
She works 10 hours a day and anything over 8 hours is eligible for overtime, so she gets 10-8 = <<10-8=2>>2 hours of overtime
Overtime is calculated as time and a half so and she makes $18/hour so her overtime pay is 18*.5 = $<<18*.5=9.00>>9.00
Her overtime pay is 18+9 = $<<18+9=27.00>>27.00
Her base pay is $144.00 per 8-hour shift and she works 5 days and makes 5 * $144 = $<<144*5=720.00>>720.00
Her overtime pay is $27.00 per hour and she works 2 hours of overtime per day and makes 27*2 = $<<27*2=54.00>>54.00 in overtime pay
2 hours of overtime pay for 5 days means she makes 54*5 = $270.00
In 5 days her base pay is $720.00 and she makes $270.00 in overtime pay so she makes $720 + $270 = $<<720+270=990.00>>990.00
#### 990
|
A deep-sea monster rises from the waters once every hundred years to feast on a ship and sate its hunger. Over three hundred years, it has consumed 847 people. Ships have been built larger over time, so each new ship has twice as many people as the last ship. How many people were on the ship the monster ate in the first hundred years?
|
Let S be the number of people on the first hundred years’ ship.
The second hundred years’ ship had twice as many as the first, so it had 2S people.
The third hundred years’ ship had twice as many as the second, so it had 2 * 2S = <<2*2=4>>4S people.
All the ships had S + 2S + 4S = 7S = 847 people.
Thus, the ship that the monster ate in the first hundred years had S = 847 / 7 = <<847/7=121>>121 people on it.
#### 121
|
Tobias is buying a new pair of shoes that costs $95. He has been saving up his money each month for the past three months. He gets a $5 allowance a month. He also mows lawns and shovels driveways. He charges $15 to mow a lawn and $7 to shovel. After buying the shoes, he has $15 in change. If he mows 4 lawns, how many driveways did he shovel?
|
He saved up $110 total because 95 + 15 = <<95+15=110>>110
He saved $15 from his allowance because 3 x 5 = <<3*5=15>>15
He earned $60 mowing lawns because 4 x 15 = <<4*15=60>>60
He earned $35 shoveling driveways because 110 - 60 - 15 = <<110-60-15=35>>35
He shoveled 5 driveways because 35 / 7 = <<35/7=5>>5
#### 5
|
Randy has 60 mango trees on his farm. He also has 5 less than half as many coconut trees as mango trees. How many trees does Randy have in all on his farm?
|
Half of the number of Randy's mango trees is 60/2 = <<60/2=30>>30 trees.
So Randy has 30 - 5 = <<30-5=25>>25 coconut trees.
Therefore, Randy has 60 + 25 = <<60+25=85>>85 treeson his farm.
#### 85
|
Jasper will serve charcuterie at his dinner party. He buys 2 pounds of cheddar cheese for $10, a pound of cream cheese that cost half the price of the cheddar cheese, and a pack of cold cuts that cost twice the price of the cheddar cheese. How much does he spend on the ingredients?
|
A pound of cream cheese cost $10 / 2 = $<<10/2=5>>5.
A pack of cold cuts cost $10 x 2 = $<<10*2=20>>20.
Jasper spent $10 + $5 + $20 = $<<10+5+20=35>>35 on the ingredients.
#### 35
|
Joy can read 8 pages of a book in 20 minutes. How many hours will it take her to read 120 pages?
|
In one hour, there are 3 sets of 20 minutes.
So, Joy can read 8 x 3 = <<8*3=24>>24 pages in an hour.
It will take her 120/24 = <<120/24=5>>5 hours to read 120 pages.
#### 5
|
James creates a media empire. He creates a movie for $2000. Each DVD cost $6 to make. He sells it for 2.5 times that much. He sells 500 movies a day for 5 days a week. How much profit does he make in 20 weeks?
|
He sold each DVD for 6*2.5=$<<6*2.5=15>>15
So he makes a profit of 15-6=$<<15-6=9>>9
So each day he makes a profit of 9*500=$<<9*500=4500>>4500
So he makes 4500*5=$<<4500*5=22500>>22,500
He makes 22,500*20=$<<22500*20=450000>>450,000
Then after the cost of creating the movie he has a profit of 450,000-2000=$<<450000-2000=448000>>448,000
#### 448000
|
This is a test dataset repo of 16 samples of openai/gsm8k.
Below is the original openai/gsm8k README
Dataset Card for GSM8K
Dataset Summary
GSM8K (Grade School Math 8K) is a dataset of 8.5K high quality linguistically diverse grade school math word problems. The dataset was created to support the task of question answering on basic mathematical problems that require multi-step reasoning.
- These problems take between 2 and 8 steps to solve.
- Solutions primarily involve performing a sequence of elementary calculations using basic arithmetic operations (+ − ×÷) to reach the final answer.
- A bright middle school student should be able to solve every problem: from the paper, "Problems require no concepts beyond the level of early Algebra, and the vast majority of problems can be solved without explicitly defining a variable."
- Solutions are provided in natural language, as opposed to pure math expressions. From the paper: "We believe this is the most generally useful data format, and we expect it to shed light on the properties of large language models’ internal monologues""
Supported Tasks and Leaderboards
This dataset is generally used to test logic and math in language modelling. It has been used for many benchmarks, including the LLM Leaderboard.
Languages
The text in the dataset is in English. The associated BCP-47 code is en.
Dataset Structure
Data Instances
For the main configuration, each instance contains a string for the grade-school level math question and a string for the corresponding answer with multiple steps of reasoning and calculator annotations (explained here).
{
'question': 'Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?',
'answer': 'Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nNatalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May.\n#### 72',
}
For the socratic configuration, each instance contains a string for a grade-school level math question, a string for the corresponding answer with multiple steps of reasoning, calculator annotations (explained here), and Socratic sub-questions.
{
'question': 'Natalia sold clips to 48 of her friends in April, and then she sold half as many clips in May. How many clips did Natalia sell altogether in April and May?',
'answer': 'How many clips did Natalia sell in May? ** Natalia sold 48/2 = <<48/2=24>>24 clips in May.\nHow many clips did Natalia sell altogether in April and May? ** Natalia sold 48+24 = <<48+24=72>>72 clips altogether in April and May.\n#### 72',
}
Data Fields
The data fields are the same among main and socratic configurations and their individual splits.
question: The question string to a grade school math problem.
answer: The full solution string to the
question. It contains multiple steps of reasoning with calculator annotations and the final numeric solution.
Data Splits
| name | train | validation |
|---|---|---|
| main | 7473 | 1319 |
| socratic | 7473 | 1319 |
Dataset Creation
Curation Rationale
[Needs More Information]
Source Data
Initial Data Collection and Normalization
From the paper, appendix A:
We initially collected a starting set of a thousand problems and natural language solutions by hiring freelance contractors on Upwork (upwork.com). We then worked with Surge AI (surgehq.ai), an NLP data labeling platform, to scale up our data collection. After collecting the full dataset, we asked workers to re-solve all problems, with no workers re-solving problems they originally wrote. We checked whether their final answers agreed with the original solutions, and any problems that produced disagreements were either repaired or discarded. We then performed another round of agreement checks on a smaller subset of problems, finding that 1.7% of problems still produce disagreements among contractors. We estimate this to be the fraction of problems that contain breaking errors or ambiguities. It is possible that a larger percentage of problems contain subtle errors.
Who are the source language producers?
[Needs More Information]
Annotations
Annotation process
[Needs More Information]
Who are the annotators?
Surge AI (surgehq.ai)
Personal and Sensitive Information
[Needs More Information]
Considerations for Using the Data
Social Impact of Dataset
[Needs More Information]
Discussion of Biases
[Needs More Information]
Other Known Limitations
[Needs More Information]
Additional Information
Dataset Curators
[Needs More Information]
Licensing Information
The GSM8K dataset is licensed under the MIT License.
Citation Information
@article{cobbe2021gsm8k,
title={Training Verifiers to Solve Math Word Problems},
author={Cobbe, Karl and Kosaraju, Vineet and Bavarian, Mohammad and Chen, Mark and Jun, Heewoo and Kaiser, Lukasz and Plappert, Matthias and Tworek, Jerry and Hilton, Jacob and Nakano, Reiichiro and Hesse, Christopher and Schulman, John},
journal={arXiv preprint arXiv:2110.14168},
year={2021}
}
Contributions
Thanks to @jon-tow for adding this dataset.
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