Distill Math Reasoning Data from DeepSeek R1 with CAMEL#
You can also check this cookbook in colab here
This notebook provides a comprehensive guide on configuring and utilizing CAMELβs data distillation pipeline to generate high-quality mathematical reasoning datasets featuring detailed thought processes (Long Chain-of-Thought data).
In this notebook, youβll explore:
CAMEL: A powerful multi-agent framework that enables synthetic data generation and multi-agent role-playing scenarios, enabling advanced AI-driven applications.
Data distillation pipline: A systematic approach for extracting and refining high-quality reasoning datasets with detailed thought processes from models like DeepSeek R1.
Hugging Face Integration: A streamlined process for uploading and sharing distilled datasets on the Hugging Face platform.
Through the use of our synthetic data generation pipeline, CAEML-AI has crafted three comprehensive datasets that are now available to enhance your mathematical reasoning and problem-solving skills. These datasets are hosted on Hugging Face for easy access:
π AMC AIME STaR Dataset
A dataset of 4K advanced mathematical problems and solutions, distilled with improvement history showing how the solution was iteratively refined. π Explore the Dataset
π AMC AIME Distilled Dataset
A dataset of 4K advanced mathematical problems and solutions, distilled with clear step-by-step solutions. π Explore the Dataset
π GSM8K Distilled Dataset
A dataset of 7K high quality linguistically diverse grade school math word problems and solutions, distilled with clear step-by-step solutions. π Explore the Dataset
Perfect for those eager to explore AI-driven problem-solving or dive deep into mathematical reasoning! πβ¨
π¦ Installation#
Firstly, we need to install the camel-ai package for datagen pipline
[1]:
%%capture
!pip install "git+https://github.com/camel-ai/camel.git@f028e39fb2fbedcd30f43036899d3d13e5c25b01#egg=camel-ai"
!pip install datasets
!pip install rouge
π Setting Up API Keys#
Letβs set the FIREWORKS_API_KEY
or DEEPSEEK_API_KEY
that will be used to distill the maths reasoning data with thought process.
β NOTE: You could also use other model provider like Together AI, SilionFlow
[2]:
from getpass import getpass
import os
[3]:
FIREWORKS_API_KEY = getpass('Enter your FIREWORKS_API_KEY: ')
os.environ["FIREWORKS_API_KEY"] = FIREWORKS_API_KEY
Enter your FIREWORKS_API_KEY: Β·Β·Β·Β·Β·Β·Β·Β·Β·Β·
[ ]:
DEEPSEEK_API_KEY = getpass('Enter your DEEPSEEK_API_KEY: ')
os.environ["DEEPSEEK_API_KEY"] = DEEPSEEK_API_KEY
Enter your DEEPSEEK_API_KEY: Β·Β·Β·Β·Β·Β·Β·Β·Β·Β·
[ ]:
#to make deepseek r1 responds with thought process content,we should set the following environment variable
os.environ["GET_REASONING_CONTENT"]="True"
π₯ Download Dataset from Hugging Face and Convert to the Desired Format#
Now, lets start to prepare the original maths data from Hugging Face ,which mainly have two important key: questions and answers. We will use GSM8K as example.
After we download these datasets, we will convert these datasets to the desired format which suitable to be used in CAMELβs data distillation pipline.
[4]:
# Set the number of problems to download from GSM8K in huggingface
NUMBER_OF_PROBLEMS=10
[5]:
import json
from pathlib import Path
import uuid
from datasets import load_dataset
def download_gsm8k_dataset():
try:
# Load the dataset using the datasets library
dataset = load_dataset("openai/gsm8k", "main")
# Get the items from train split
data = dataset['train'].select(range(NUMBER_OF_PROBLEMS))
# Convert to the desired format
formatted_data = []
for item in data:
# Extract the final answer from the solution
solution = item['answer']
if solution:
# GSM8K solutions typically end with "#### number"
import re
match = re.search(r'####\s*(\d+)', solution)
if match:
number = match.group(1)
# Replace the "#### number" with "\boxed{number}"
solution = re.sub(
r'####\s*\d+', f'\\\\boxed{{{number}}}', solution
)
formatted_item = {
"id": str(uuid.uuid4()), # GSM8K doesn't provide IDs
"problem": item['question'],
"type": "openai/gsm8k", # All problems are from GSM8K
"solution": solution, # Use the modified solution with \boxed
}
formatted_data.append(formatted_item)
# Save to a file
output = formatted_data
output_file = "downloaded_gsm8k_10.json"
with open(output_file, "w") as f:
json.dump(output, f, indent=2)
print(f"Successfully downloaded and saved GSM8K dataset to {output_file}")
except Exception as e:
print(f"Error downloading GSM8K dataset: {e}")
if __name__ == "__main__":
download_gsm8k_dataset()
/usr/local/lib/python3.11/dist-packages/huggingface_hub/utils/_auth.py:94: UserWarning:
The secret `HF_TOKEN` does not exist in your Colab secrets.
To authenticate with the Hugging Face Hub, create a token in your settings tab (https://huggingface.co/settings/tokens), set it as secret in your Google Colab and restart your session.
You will be able to reuse this secret in all of your notebooks.
Please note that authentication is recommended but still optional to access public models or datasets.
warnings.warn(
Successfully downloaded and saved GSM8K dataset to downloaded_gsm8k_10.json
Cool! Now you have already got some desired format example data,lets move to start to distill some maths reasoning data with thought process.
π Begin Distilling Mathematical Reasoning Data with Thought Process (Long CoT Data).#
Improt required libraries:
[6]:
import nest_asyncio
nest_asyncio.apply()
import json
import os
import time
from camel.agents import ChatAgent
from camel.datagen import SelfImprovingCoTPipeline
from camel.models import ModelFactory
from camel.types import ModelPlatformType, ModelType
Next, letβs set up the reasoning model and evaluate model. Since the DeepSeekβs API service is currently unstable, we will also set DeepSeek R1 served by Fireworks. CAMELβs model manager to automatically switch models based on the success of the request.
[8]:
# Set DeepSeek R1 served by Fireworks as reason model 1
reason_model_1 = ModelFactory.create(
model_platform=ModelPlatformType.OPENAI_COMPATIBLE_MODEL,
model_type="accounts/fireworks/models/deepseek-r1",
api_key=os.environ["FIREWORKS_API_KEY"],
url="https://api.fireworks.ai/inference/v1",
model_config_dict={"max_tokens": 4096}, # Config the max_token carefully
)
# Set DeepSeek R1 served by deepseek cloud as reason model 2
reason_model_2 = ModelFactory.create(
model_platform=ModelPlatformType.DEEPSEEK,
model_type=ModelType.DEEPSEEK_REASONER,
)
Now we can start to excute CAMELβs STaRPipeline, pay attention to the parameters setting like problems_path, output_path, max_iterations, rationalization. Some code is commented out since itβs optional.
[ ]:
start_time = time.time()
problems_path = "downloaded_gsm8k_10.json"
output_path = "generated_data.json"
# Load problems from JSON file
with open(problems_path, 'r') as f:
problems = json.load(f)
# Initialize agent
reason_agent_system_message = """Answer my question and give your
final answer within \\boxed{}."""
evaluate_agent_system_message = """You are a highly critical teacher who
evaluates the student's answers with a meticulous and demanding approach.
"""
# Set up reason agent
reason_agent = ChatAgent(
system_message=reason_agent_system_message,
model=[reason_model_1, reason_model_2], # add models to the list, You can also swtich to other models
)
# # Set up evaluate agent(optional)
# evaluate_agent = ChatAgent(
# system_message=evaluate_agent_system_message
# )
# # Initialize reward model (optional)
# reward_model = NemotronRewardModel(
# model_type=ModelType.NVIDIA_NEMOTRON_340B_REWARD,
# url="https://integrate.api.nvidia.com/v1",
# api_key=os.environ.get("NVIDIA_API_KEY"),
# )
# # Set score thresholds for different dimensions (optional)
# score_threshold = {
# "correctness": 1.0,
# "clarity": 0.0,
# "completeness": 0.0,
# }
# # Or use a single threshold for all dimensions:
# score_threshold = 0.9
# Create and run pipeline
pipeline = SelfImprovingCoTPipeline(
reason_agent=reason_agent,
problems=problems, # Pass problems list directly
output_path=output_path,
max_iterations=0,
batch_size=100, # Size of batch to process the data (optional)
# evaluate_agent=evaluate_agent, # To use evaluate agent(optional)
# score_threshold=score_threshold, # Score thresholds for agent evaluation (optional)
# reward_model=reward_model, # To use a reward model (optional)
)
print("Start generation! May take some time, please wait..")
results = pipeline.generate(rationalization=False)
end_time = time.time()
execution_time = end_time - start_time
print(f"\nProcessed {len(results)} problems")
print(f"Results saved to: {output_path}")
print(f"Total execution time: {execution_time:.2f} seconds")
Letβs take a look at generated reasoning data!
[10]:
with open('generated_data.json', 'r') as f:
data = json.load(f)
print(json.dumps(data, indent=2))
{
"traces": [
{
"id": "b4a38c4f-851d-4902-a032-f19a6a9de74a",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "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\\boxed{72}",
"final_trace": "<think>\nOkay, let's tackle this problem step by step. First, I need to make sure I understand what's being asked. So Natalia sold clips to her friends in April and May, and we need to find out the total number of clips she sold in both months combined. \n\nAlright, the problem says that in April she sold clips to 48 friends. Then in May, she sold half as many clips. Hmm, I need to be careful here\u2014does \"half as many clips\" mean half the number of clips she sold in April, or half the number of friends she sold to? The wording says \"sold half as many clips,\" which refers to the quantity of clips, not the number of friends. Wait, but the first part mentions she sold clips to 48 friends. It might depend on whether each friend bought the same number of clips. But the problem doesn't specify how many clips each friend bought in April. Hmmm, maybe the problem is simpler than that? Let me re-read.\n\nThe original problem: \"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?\"\n\nWait a minute \u2013 maybe the problem is stating that in April, the number of clips she sold was to 48 friends, but then in May, she sold half the number of clips (not half the number of friends). So we need to know if 'clips sold' is represented by the number 48 in April, or if selling to 48 friends relates to clips sold. Actually, the problem is ambiguous here. Let me look again.\n\n\"Natalia sold clips to 48 of her friends in April...\" That could mean that she sold clips, and the number 48 refers to the friends, not the clips. So for example, she sold clips to 48 different friends in April. Then, in May, she sold half as many clips. So \"half as many clips\" as in April. So maybe in April, the total number of clips she sold is what? The problem doesn't specify how many clips she sold per friend in April, unless we assume that selling to each friend constitutes one clip. But that might not make sense. Selling clips is often multiple per friend. Wait, perhaps the problem may have a typo or it's assuming that each friend bought one clip? That could be a way to interpret it if we have insufficient information. Let me see.\n\nIf we assume that each of the 48 friends bought one clip in April, then she sold 48 clips in April. Then in May, sold half as many clips, so 24 clips. Total of 48 + 24 = 72 clips. But that's making an assumption that \"sold clips to 48 friends\" implies one clip per friend, which isn't specified. Alternatively, if \"sold clips to 48 friends\" could refer to having 48 customers, each purchasing some quantity. But without knowing the number per customer, we can't compute.\n\nAlternatively, maybe the problem is mixing up \"number of friends\" with \"number of clips\". Let's consider if the problem has a translation issue or wording issue. The original problem states: \"How many clips did Natalia sell altogether in April and May?\" So total clips is required.\n\nWhy would the problem mention friends unless that number is a red herring. Hmm. Wait, but if in April she sold to 48 friends, which resulted in a certain number of clips, then in May the number of clips sold was half of that. But the problem is missing a key piece of information: how many clips each friend bought. Without that, we can't compute from the given data. Unless the answer is in terms of friends? But the final question asks for clips.\n\nAlternatively, perhaps there is a misinterpretation on my part. Maybe \"sold half as many clips\" in May meaning half as many friends? Let me parse the wording again: \"sold half as many clips\" not \"half as many friends\". So clipping sales volume was halved in May compared to April. But if we don't know how many clips were sold in April, only that she sold clips to 48 friends, which perhaps implies she sold 48 clips? Each friend bought one clip? Otherwise, what else could it refer to? The problem is then: In April, sold 48 clips (since each of the 48 friends bought one), then in May sold half, so 24. Total 72.\n\nBut how can we be sure that each friend bought only one clip? Maybe some bought multiple. But the problem does not clarify that. This seems like maybe there is missing information. Or maybe it's a trick question where \"sold clips to 48 friends\" equates to 48 clips total. So then proceed accordingly.\n\nWait, perhaps sometimes problems word this way where if they say \"sold to 48 friends\", they just mean 48 units to friends, each friend getting one. It's a confusing wording, but possible.\n\nAssuming that, then she sold 48 clips in April (each of 48 friends got one clip). In May, she sold half as many clips as April, meaning 24 clips. Therefore total 48 + 24 = 72 clips. Thus, the answer would be 72.\n\nAlternatively, another person might think:\n\nWait, if she sold to 48 friends in April, and in May she sold half as many clips, not friends. So maybe she still sold to 48 friends in May, but each bought half the number of clips compared to April? But the problem says \"sold half as many clips in May\" (compared to April total). But that again would need the initial number from April.\n\nBut without knowing quantity per friend, this is impossible to calculate. Therefore, perhaps the original problem is actually intending that \"sold clips to 48 friends\" means total clips sold was 48. Then in May half as many as April, so 24, total 72. Let's go with that. Since otherwise, there's missing information. So given the problem as is, with this ambiguity, maybe the test expects that interpretation.\n\nTherefore, answer: 72\n</think>\n\nTo determine how many clips Natalia sold altogether in April and May, we analyze the problem step by step:\n\n1. **April Sales**: \n Natalia sold clips to **48 friends**. The problem doesn't specify the number of clips per friend, so we assume she sold **1 clip per friend**. \n \\(\\Rightarrow 48 \\text{ clips in April}\\).\n\n2. **May Sales**: \n She sold **half as many clips** as in April. \n \\(\\Rightarrow \\frac{48}{2} = 24 \\text{ clips in May}\\).\n\n3. **Total Sales**: \n Add April and May sales: \n \\(48 + 24 = 72\\).\n\n**Final Answer** \n\\(\\boxed{72}\\)",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "12333661-80c8-478d-b654-d6bdfd88b1ed",
"type": "openai/gsm8k",
"problem": "Weng earns $12 an hour for babysitting. Yesterday, she just did 50 minutes of babysitting. How much did she earn?",
"solution": "Weng earns 12/60 = $<<12/60=0.2>>0.2 per minute.\nWorking 50 minutes, she earned 0.2 x 50 = $<<0.2*50=10>>10.\n\\boxed{10}",
"final_trace": "<think>\nOkay, so Weng earns $12 per hour for babysitting, and she worked for 50 minutes yesterday. The question is, how much did she earn for that time? Hmm, let's think about how to approach this. \n\nFirst off, usually, pay rates are given per hour, which is 60 minutes. But she only worked 50 minutes. So, it's not a full hour. I guess the key here is converting the 50 minutes into hours so that we can calculate the proportionate amount she should earn.\n\nWait, so if she makes $12 for one hour, then for each minute, she would earn $12 divided by 60 minutes. Let me check. Yeah, because 60 minutes make an hour. So per minute, that's 12/60. Let's calculate that. 12 divided by 60 is 0.2. So, 0.2 dollars per minute. Wait, 0.2 dollars is 20 cents per minute. Hmm, that seems low but considering $12 an hour, yeah, because 60 minutes times 0.2 dollars is 12 dollars. Okay, that's right.\n\nSo, if she worked 50 minutes, then she would earn 50 minutes times 0.2 dollars per minute. Let me compute that. 50 times 0.2. Well, 50 times 0.1 is 5, so 0.2 would be double that. So 5 times 2 is 10. So, 10 dollars. Hmm, okay, so 10 dollars. Does that make sense?\n\nAlternatively, maybe another way to think about it is fractions. 50 minutes is what fraction of an hour? Since an hour is 60 minutes, the fraction is 50/60. Which simplifies to 5/6. So, 5/6 of an hour. Then, multiplying that by her hourly rate. So, 12 times 5/6. Let me do that.\n\n12 divided by 6 is 2. Then 2 times 5 is 10. Same result. That checks out. So both methods give me 10 dollars, so that probably is correct.\n\nBut wait, let me be thorough. Maybe think of unit conversion. So starting with 50 minutes, convert that to hours. There are 60 minutes in 1 hour. So, 50 minutes * (1 hour / 60 minutes) = 50/60 hours = 5/6 hours. Then, multiply by the rate: 5/6 hours * 12 dollars/hour = (5*12)/6 dollars. 5*12 is 60, divided by 6 is 10. So, same answer again.\n\nHmm, three different approaches\u2014calculating per minute rate, using fractions of an hour, and unit conversion\u2014all lead to $10. So that\u2019s pretty reassuring. I don't see any mistakes here.\n\nIs there any chance I might have mixed up the multiplication or division? Let's revisit. For instance, if it was 60 divided by 50, that would be wrong, but I think all the fractions and division are correct. The time conversion is minutes to hours, so multiplying by (1 hour / 60 minutes) is right because the minutes unit cancels out. Also, making sure that if she works less than an hour, the amount should be less than 12, which 10 is. So that makes sense. If she worked half an hour, she\u2019d get 6 dollars, so 50 minutes is a bit more than half, 10 dollars seems reasonable. At first glance, 50 minutes yielding 10 dollars might seem like a lot since it's close to an hour, but 10 is two-thirds of her rate? Wait, no. Wait, 50 minutes is 5/6 of an hour. So, 5/6 of 12 is 10. Yeah, two-thirds is 40 minutes. Wait, no, wait two-thirds of an hour is 40 minutes (60*2/3=40). 5/6 is more than that, which is 50 minutes. So 5/6 is like 50/60. So, yes, 5/6 of 12 is indeed 10. That makes sense.\n\nAnother way to check is think, each 10 minutes is 1/6 of an hour. So 60 minutes divided by 6 is 10 minutes. So, each 10 minutes she earns 12/6 = 2 dollars. So, 10 minutes is 2 dollars. Then 50 minutes is 5 chunks of 10 minutes. 5*2=10. Another way to verify. So that also checks out. 10 minutes equals 2 dollars, so 50 minutes is 5 times 10 minutes, so 5*2=10. Perfect.\n\nTherefore, it's solid. All methods lead to 10 dollars. So, the answer should be $10.\n</think>\n\nWeng earns $12 per hour for babysitting. Since she worked for 50 minutes, we need to calculate her earnings proportionally. Here's the breakdown:\n\n1. **Convert 50 minutes to hours**: \n \\( \\frac{50}{60} = \\frac{5}{6} \\) hours.\n\n2. **Calculate earnings**: \n Multiply her hourly rate by the fraction of the hour worked: \n \\( \\$12 \\times \\frac{5}{6} = \\$10 \\).\n\n**Verification**:\n- **Per-minute rate**: \n \\( \\frac{\\$12}{60} = \\$0.20 \\) per minute. \n \\( 50 \\times \\$0.20 = \\$10 \\).\n\n- **Incremental 10-minute checks**: \n \\( \\frac{\\$12}{6} = \\$2 \\) per 10 minutes. \n \\( 50 \\text{ minutes} = 5 \\times 10 \\text{ minutes} \\Rightarrow 5 \\times \\$2 = \\$10 \\).\n\nBoth methods confirm the earnings. \n\n**Final Answer**: \n\\boxed{10}",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "518f11dd-e5cf-48a1-ae22-43351ea0a639",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "In the beginning, Betty has only 100 / 2 = $<<100/2=50>>50.\nBetty's grandparents gave her 15 * 2 = $<<15*2=30>>30.\nThis means, Betty needs 100 - 50 - 30 - 15 = $<<100-50-30-15=5>>5 more.\n\\boxed{5}",
"final_trace": "<think>\nOkay, so Betty wants a wallet that costs $100, but she only has half of the money needed. Hmm, first step is to figure out how much Betty currently has. If the wallet is $100 and she has half, that means she has 100 divided by 2. Let me write that down: 100 \u00f7 2 = $50. So Betty has $50 saved up already.\n\nNext, her parents are giving her $15. That's straightforward, so add that to her current savings. So her total from parents would be $15. Now, her grandparents are giving twice as much as her parents. Wait, her parents gave $15, so grandparents are giving twice that amount. Let me calculate that. Twice of 15 is 15 x 2 = $30. So grandparents give $30.\n\nSo now, let's add up all the money she has. Her own savings: $50, plus parents' $15, plus grandparents' $30. Adding those together: 50 + 15 is 65, and 65 + 30 is 95. So Betty has a total of $95 from her savings and the contributions.\n\nBut the wallet costs $100. So how much more does she need? Subtract the total she has from the cost of the wallet. 100 - 95 = $5. Let me check that again. 50 plus 15 is 65, plus another 30 makes 95. Yep, subtract 95 from 100 gives her $5 still needed. \n\nWait, let me verify each step to make sure I didn't make any mistakes. \n\n1. Half of $100 is indeed $50. Check.\n2. Parents give $15. Check.\n3. Grandparents give twice of $15, which is 2*15=30. Check.\n4. Sum: 50 +15 =65. Then 65 +30=95. Check.\n5. Cost is $100, so 100 -95=5. Check.\n\nYep, everything seems to add up. So Betty needs $5 more to buy the wallet.\n</think>\n\nBetty needs $5 more to buy the wallet. Here's the breakdown:\n\n1. **Initial Savings**: \n - Wallet cost: $100 \n - Betty's savings: \\( \\frac{100}{2} = \\$50 \\)\n\n2. **Parental Contribution**: \n - Parents give: \\$15\n\n3. **Grandparents' Contribution**: \n - Grandparents give twice the parents': \\( 15 \\times 2 = \\$30 \\)\n\n4. **Total Money Collected**: \n - Total = Betty's savings + Parents + Grandparents \n - \\( 50 + 15 + 30 = \\$95 \\)\n\n5. **Remaining Amount Needed**: \n - \\( 100 - 95 = \\$5 \\)\n\n**Final Answer**: \\boxed{5}",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "10e0cff3-f300-4d3a-8eef-e603eadf19f8",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "Maila read 12 x 2 = <<12*2=24>>24 pages today.\nSo she was able to read a total of 12 + 24 = <<12+24=36>>36 pages since yesterday.\nThere are 120 - 36 = <<120-36=84>>84 pages left to be read.\nSince she wants to read half of the remaining pages tomorrow, then she should read 84/2 = <<84/2=42>>42 pages.\n\\boxed{42}",
"final_trace": "<think>\nOkay, let me try to figure out this problem. So, Julie is reading a 120-page book. Let me start by breaking down what's given. \n\nFirst, yesterday she read 12 pages. Today, she read twice as many pages as she did yesterday. Then, tomorrow she wants to read half of the remaining pages. The question is asking how many pages she should read tomorrow. Hmm, okay. Let me list out all the information step by step.\n\nTotal pages in the book: 120.\n\nPages read yesterday: 12.\n\nPages read today: twice as many as yesterday, which would be 2 times 12. Let me calculate that. 2*12 is 24, so today she read 24 pages.\n\nSo total pages read so far (yesterday and today) would be 12 + 24. Let's add those. 12 + 24 is 36 pages.\n\nNow, the remaining pages in the book would be total pages minus the pages she has already read. So that's 120 - 36. Let me subtract that. 120 minus 36 is... 84. So she has 84 pages left after today.\n\nThen, tomorrow she wants to read half of the remaining pages. So, half of 84 is ... let me divide that by 2. 84 divided by 2 is 42. So that would mean she needs to read 42 pages tomorrow.\n\nWait, let me make sure I did that right. Let me check each step again.\n\nStarting with total 120 pages.\n\nYesterday: 12 pages. So remaining after yesterday is 120 -12 = 108.\n\nToday, she reads twice as many as yesterday. Twice 12 is 24, yes. So from the remaining 108, she reads 24 today, so remaining now is 108 -24 = 84.\n\nYes, that's correct.\n\nThen tomorrow, half of the remaining pages. So half of 84 is 42. So yes, 42.\n\nWait another thing, sometimes there might be a trick in the phrasing. For example, does \"half of the remaining pages\" refer to half of what was left before today or after? Let me check problem statement again.\n\nThe problem says: \"If she wants to read half of the remaining pages tomorrow, how many pages should she read?\"\n\nAfter today's reading. That is, after yesterday and today, the remaining is 84. So she wants to read half of that remaining, which is 42.\n\nBut let me parse the original problem again to make sure. The problem states:\n\n\"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?\"\n\nSo the sequence is:\n\n- Yesterday: 12 pages.\n\n- Today: twice of yesterday, which would be 24 pages.\n\n- Tomorrow: half of the remaining pages after today.\n\nTherefore, remaining pages before tomorrow would be total minus yesterday and today, which is 120 -12 -24 = 84. Half of 84 is 42. So the answer should be 42.\n\nEven if the problem had said \"wants to read half of the remaining pages\" in another way, but given the statements, I think this is the correct interpretation. Let me check once more.\n\nAlternative way: Maybe \"remaining pages\" after today not counting tomorrow? No, the process is sequential. She reads everyday: yesterday 12, today 24, tomorrow half of what's left. Therefore, 120 -12 -24 =84 left before tomorrow. So she reads half, which is 42, then rest would be 42 pages left after tomorrow, but the question is how many she should read, which is 42. So 42 is the answer.\n\nI think that's correct.\n\nYes, okay, my mind isn't coming up with any other interpretations here, so this should be the right solution.\n</think>\n\n1. **Total pages in the book**: 120. \n2. **Pages read yesterday**: 12. \n3. **Pages read today**: \\(2 \\times 12 = 24\\). \n4. **Total pages read so far**: \\(12 + 24 = 36\\). \n5. **Remaining pages**: \\(120 - 36 = 84\\). \n6. **Pages to read tomorrow (half of remaining)**: \\(\\frac{84}{2} = 42\\).\n\n**Answer**: \\boxed{42}",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "c3bceb2e-f218-4619-8f2d-10c5944c9378",
"type": "openai/gsm8k",
"problem": "James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?",
"solution": "He writes each friend 3*2=<<3*2=6>>6 pages a week\nSo he writes 6*2=<<6*2=12>>12 pages every week\nThat means he writes 12*52=<<12*52=624>>624 pages a year\n\\boxed{624}",
"final_trace": "<think>\nOkay, let's see. The problem is James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year? Alright, let me break this down step by step. \n\nFirst, I need to figure out how many letters James writes each week and then calculate the total number of pages per week. After that, I can multiply by the number of weeks in a year to get the annual total. Hmm, but wait, let me make sure I don't confuse letters with pages here.\n\nSo, he writes to 2 different friends twice a week. That means per friend, he writes twice a week, right? Wait, wait, no. Wait, the problem says he writes a letter to 2 different friends twice a week. Hmm. So maybe each time he writes, he sends letters to 2 friends? Or is it that he writes to 2 friends each time, twice a week? Or maybe he writes a total of two letters per week, each to a different friend? Hmm, the wording is a bit ambiguous. But the key part is \"writes a 3-page letter to 2 different friends twice a week.\"\n\nProbably, each time he writes, he writes a separate 3-page letter to each friend. So, if he does this twice a week, then per week, he's writing 2 times 2 friends, which would be 4 letters? Wait, no. Wait, the problem says: writes a 3-page letter to 2 different friends twice a week. Wait, possibly, each of those two times per week, he writes to two friends. That is, each writing session involves sending a 3-page letter to two friends. So each week, he writes twice, and each time, he writes 2 letters (each 3 pages). Therefore, per week, 2 times 2 equals 4 letters, each of 3 pages. So, 4*3=12 pages per week. Then, multiplying by the number of weeks in a year.\n\nBut let me check again. The problem states: James writes a 3-page letter to 2 different friends twice a week. How many pages does he write a year?\n\nSo he does two things: writes a letter to two different friends, and does this twice a week. So on each occasion (each time he writes), he sends a 3-page letter to 2 friends. Therefore, per session, he writes 2 letters, each 3 pages. So that's 2*3=6 pages per session. Then he does this twice a week, so 6*2=12 pages per week. Now, in a year, there are 52 weeks, right? So 12 pages/week * 52 weeks = 624 pages.\n\nWait, but maybe I need to make sure about the interpretation. Another possible interpretation: He writes one letter to each of two friends every week twice. Wait, that could mean something else. But the problem says \"twice a week.\"\n\nWait, perhaps per friend, he writes twice a week. If he has two friends, then per week, he writes 2 letters to each friend. Wait, but the problem says \"to 2 different friends twice a week,\" so each week he does two instances of writing, sending to two friends each time. Or maybe that he twice a week writes a letter, each time sending it to two friends. Either way, the key is that each letter is 3 pages. So perhaps each writing session, which happens twice a week, he sends two letters, each 3 pages. Therefore, per week: 2 (times) * 2 (friends) * 3 (pages) = 12 pages per week.\n\nAlternatively, perhaps each time he writes, he sends one 3-page letter to two friends. That is, one letter addressed to both? But that's not typical; letters usually are to individual friends. So likely each friend receives their own 3-page letter.\n\nSo if he writes to two friends twice a week, meaning each week he sends two letters to each friend? Wait, but the problem states \"to 2 different friends twice a week.\" Wait, maybe per week, he picks two different friends and sends them letters, and he does this twice. But \"twice a week,\" so two times per week. Each time, he sends a letter to two different friends. Wait, but then in a week, he could be writing to four different friends if he doesn't repeat. But the problem isn't about tracking friends, it's about the number of pages. So if each time he writes, he corresponds with two different friends by writing a 3-page letter each.\n\nSo per instance, two letters, each 3 pages. If he does that twice a week, then per week: 2 times * 2 friends * 3 pages = 12 pages per week. Then, total per year: 12 * 52 = 624.\n\nAlternatively, maybe another way: per week, how many letters? If he writes 2 times a week, each time writing to two friends. So total letters per week: 2 * 2 = 4 letters. Each letter is 3 pages, so 4 * 3 = 12 pages per week.\n\nThen yearly: 12 * 52 = 624. That seems correct. Hmm. Let me think if I missed something. Perhaps the problem states \"a 3-page letter to 2 different friends\", making it that a single letter goes to two friends? But that would only be 3 pages total. But that seems odd. If the letter is addressed to two friends, then it would be one letter. But the problem says 3-page letter to each of 2 friends. So two letters each of 3 pages. Hence, two letters per instance. So \"twice a week\" means two instances, each instance involving two letters. Yeah, that seems consistent.\n\nLet me check calculation steps again.\n\nFirst, number of writing sessions per week: 2.\n\nIn each session, he writes letters to 2 friends, each letter being 3 pages. Therefore, pages per session: 2 * 3 = 6.\n\nThen per week: 6 pages/session * 2 sessions = 12 pages.\n\nThus, weekly total: 12 pages.\n\nA year has 52 weeks, so annual pages: 12 * 52.\n\nNow doing that multiplication:\n\n12 * 50 = 600.\n\n12 * 2 = 24.\n\nSo 600 + 24 = 624.\n\nYes, 624.\n\nBut maybe James takes a vacation or skips some weeks? However, the problem doesn't state any exceptions, so we assume 52 weeks in a year. Hence, 624 pages.\n\nTherefore, the answer should be \\boxed{624}.\n\n**Final Answer**\n\\boxed{624}\n</think>\n\nJames writes a 3-page letter to 2 different friends twice a week. To find out how many pages he writes in a year, we can break down the problem step by step:\n\n1. **Number of Writing Sessions per Week**: James writes twice a week.\n2. **Number of Letters per Session**: Each time he writes, he sends a 3-page letter to 2 different friends. Therefore, he writes 2 letters per session.\n3. **Pages per Session**: Each letter is 3 pages, so he writes \\(2 \\times 3 = 6\\) pages per session.\n4. **Weekly Pages**: With 2 sessions per week, the total pages written per week are \\(6 \\times 2 = 12\\) pages.\n5. **Yearly Pages**: There are 52 weeks in a year, so the total pages written in a year are \\(12 \\times 52 = 624\\) pages.\n\nThus, the final answer is \\(\\boxed{624}\\).",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "6f8b3a90-8f0f-4bc7-b600-2e4803984e3a",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "There are 80/100 * 10 = <<80/100*10=8>>8 more purple flowers than yellow flowers.\nSo in Mark's garden, there are 10 + 8 = <<10+8=18>>18 purple flowers.\nPurple and yellow flowers sum up to 10 + 18 = <<10+18=28>>28 flowers.\nThat means in Mark's garden there are 25/100 * 28 = <<25/100*28=7>>7 green flowers.\nSo in total Mark has 28 + 7 = <<28+7=35>>35 plants in his garden.\n\\boxed{35}",
"final_trace": "<think>\nOkay, let me try to figure out this problem step by step. So, Mark has a garden with flowers of three colors: yellow, purple, and green. We need to find the total number of flowers he has. \n\nFirst, the problem says there are ten yellow flowers. That\u2019s straightforward. Then, it mentions there are 80% more purple flowers than yellow ones. Hmm, okay, purple plants are 80% more than the yellow ones. Let me make sure I understand what that means. If there are 10 yellow flowers, then 80% more than that would mean adding 80% of 10 to the original 10, right? So, 10 plus 80% of 10. Let me write that down:\n\nPurple flowers = Yellow flowers + 80% of Yellow flowers\nPurple flowers = 10 + 0.8 * 10\nPurple flowers = 10 + 8 = 18\n\nWait, is that right? So 80% more than 10 is 18? Let me check another way. To find 80% increase, you can multiply by 1.8. So 10 * 1.8 = 18. Yes, that matches. So there are 18 purple flowers.\n\nNext, the problem says there are only 25% as many green flowers as there are yellow and purple flowers combined. Let me parse this part carefully. So green flowers = 25% of (yellow + purple). That is:\n\nGreen flowers = 0.25 * (Yellow + Purple)\nWe already have Yellow = 10 and Purple = 18, so:\n\nGreen flowers = 0.25 * (10 + 18) = 0.25 * 28\n\nLet me compute that. 28 divided by 4 is 7, because 25% is a quarter. So, Green flowers = 7.\n\nThen, to find the total number of flowers, we just add up all three colors:\n\nTotal = Yellow + Purple + Green\nTotal = 10 + 18 + 7\n\nCalculating that: 10 + 18 is 28, and 28 + 7 is 35.\n\nWait, is that all? Did I miss anything? Let me verify each step again.\n\n1. Yellow flowers: given as 10. Check.\n2. Purple flowers: 80% more than yellow. 10 + 8 = 18. So, correct.\n3. Green flowers: 25% of combined yellow and purple. 25% of 28 is indeed 7. Check.\n4. Total: 10 + 18 + 7 = 35. Seems okay.\n\nAlternatively, I can check in percentages:\n\n- For the purple, increasing 10 by 80% gives 18. That's correct.\n- Then, green is a quarter of the sum of yellow and purple. Sum of yellow and purple is 28, a quarter is 7. That seems correct.\n- Adding all together gives 10 + 18 + 7 = 35. \n\nI don't see any errors in the calculations. Just to make sure, let's rephrase the statements in the problem again:\n\n\"Ten of them are yellow\" \u2013 so yellow is 10.\n\n\"there are 80% more of those in purple\" \u2013 So purple is yellow plus 80% more. As we calculated, 18. So that part's right.\n\n\"only 25% as many green flowers as there are yellow and purple flowers\" \u2013 25% as many as yellow and purple combined. So instead of adding to 28, green is only a quarter, which is 7. Then total 35. \n\nAnother way: If the problem said green was 25% more, that would be added, but here it's 25% as many as combined. So if there are 28 in total for yellow and purple, green is 25% of 28, which is 7. Correct.\n\nYes, steps all seem right. I think that's the answer. 35 flowers in total.\n</think>\n\nMark has **35** flowers in his garden. Here's the breakdown:\n\n1. **Yellow flowers**: Given as 10. \n2. **Purple flowers**: 80% more than yellow. \n \\( 10 + (0.8 \\times 10) = 10 + 8 = 18 \\). \n3. **Green flowers**: 25% of the combined yellow and purple flowers. \n Total yellow + purple = \\( 10 + 18 = 28 \\). \n Green flowers = \\( 0.25 \\times 28 = 7 \\). \n4. **Total flowers**: \n \\( 10 \\, (\\text{yellow}) + 18 \\, (\\text{purple}) + 7 \\, (\\text{green}) = 35 \\). \n\n\\boxed{35}",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "48a9e620-75ae-4e73-b63c-f0d71c26b978",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "He eats 32 from the largest pizzas because 2 x 16 = <<2*16=32>>32\nHe eats 16 from the small pizza because 2 x 8 = <<2*8=16>>16\nHe eats 48 pieces because 32 + 16 = <<32+16=48>>48\n\\boxed{48}",
"final_trace": "<think>\nOkay, let me try to figure this out step by step. So, Albert wants to know how much pizza he can eat in one day. He bought 2 large pizzas and 2 small pizzas. Each large pizza has 16 slices, and each small one has 8 slices. If he eats all of them, how many slices does he consume that day?\n\nFirst, I need to make sure I understand the problem. We have two types of pizzas: large and small. Each type has a certain number of slices. Albert buys 2 of each and eats everything. We need to calculate the total number of slices he eats.\n\nLet me break this down. The key information here is the number of each pizza type and the slices per pizza. Let's tackle the large pizzas first. He has 2 large pizzas, and each large pizza consists of 16 slices. So for the large pizzas, the total slices would be 2 multiplied by 16. Let me compute that:\n\n2 large pizzas * 16 slices per large pizza = 32 slices from large pizzas.\n\nOkay, that's straightforward. Now, moving on to the small pizzas. He has 2 small pizzas, each with 8 slices. Similarly, the total slices from small pizzas would be 2 multiplied by 8. Let me calculate that:\n\n2 small pizzas * 8 slices per small pizza = 16 slices from small pizzas.\n\nNow, to find the total number of slices Albert eats, I have to add the slices from both large and small pizzas together. \n\nTotal slices = slices from large pizzas + slices from small pizzas\nTotal slices = 32 slices + 16 slices\n\nAdding those together: 32 + 16 = 48.\n\nWait, that seems right, but let me verify again. For the large pizzas, 2*16 is indeed 32. For the small ones, 2*8 is 16. Adding 32 and 16 gives 48. Hmm, I can check another way: perhaps add the slices of one large and one small first? Let's see. One large is 16, and one small is 8. So one large plus one small is 24. Since he has two sets of these (2 large and 2 small), you could also calculate 24 slices * 2, which would be 48. Yep, same result.\n\nAlternatively, maybe add all the pizzas as total pizzas? Wait, he has 2 large and 2 small, so 4 pizzas in total. But since different sizes have different slices, that might not be helpful. The key is that the number of slices varies per pizza size, so we need to compute each size separately and then sum.\n\nLet me just go through each step again to be certain.\n\n1. Large Pizzas: Number of pizzas = 2. Slices per pizza =16. Total slices =2*16=32. That seems correct.\n2. Small Pizzas: Number of pizzas=2. Slices per pizza=8. Total slices=2*8=16. That's also correct.\n3. Total slices consumed: 32 +16. 32+16 is indeed 48. \n\nYes, that all adds up. 32 plus 16 is 48. Alternatively, 16+8 is 24 per pair, multiplied by 2 gives 48. Either way, same answer.\n\nI don't see any mistakes here. Let me visualize the pizzas. Imagine stacking two large pizzas, each cut into 16 slices \u2014 so each pizza is quite big. Then two small ones with 8 slices each. Eating all would require eating 32 from the large ones and 16 from the small ones combined. 32+16=48. Yeah, that seems a lot, but if he can eat it all, then the total pieces he eats is 48.\n\nI think that's solid. The answer then is 48 slices.\n</think>\n\nTo determine how many pizza slices Albert eats in one day, we start by calculating the total slices from each pizza size:\n\n1. **Large Pizzas**: \n Albert has **2 large pizzas**, each with **16 slices**. \n Total slices from large pizzas: \n \\(2 \\times 16 = 32\\) slices. \n\n2. **Small Pizzas**: \n Albert has **2 small pizzas**, each with **8 slices**. \n Total slices from small pizzas: \n \\(2 \\times 8 = 16\\) slices. \n\n3. **Total Consumption**: \n Adding the slices from both sizes: \n \\(32 \\text{ (large)} + 16 \\text{ (small)} = 48\\) slices. \n\n**Verification**: Alternatively, each large-small pizza pair contributes \\(16 + 8 = 24\\) slices. With **2 pairs**, total slices are \\(2 \\times 24 = 48\\). \n\n**Final Answer**: \n\\(\\boxed{48}\\)",
"agent_evaluate_success": null,
"boxed_answer_success": true,
"improvement_history": []
},
{
"id": "cea2e95d-6687-4e57-8cf1-afa687fced52",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "Let S be the amount Alexis paid for the shoes.\nShe spent S + 30 + 46 + 38 + 11 + 18 = S + <<+30+46+38+11+18=143>>143.\nShe used all but $16 of her budget, so S + 143 = 200 - 16 = 184.\nThus, Alexis paid S = 184 - 143 = $<<184-143=41>>41 for the shoes.\n\\boxed{41}",
"final_trace": "<think>\nOkay, let's tackle this problem step by step. So, Alexis bought a bunch of clothes and shoes, and we need to figure out how much she spent on the shoes because she lost the receipt. She had a budget of $200 and has $16 left. Hmm, so if I recall correctly, the total amount she spent would be her original budget minus what's left. Let me make sure I got that.\n\nFirst, let's list out all the items she bought and their prices. The problem mentions a button-up shirt for $30, suit pants for $46, a suit coat for $38, socks for $11, a belt for $18, and the shoes which we don't know the price of. Then she has $16 remaining. \n\nSo, her total spending should be the sum of all those items, including the shoes. Since her budget was $200 and she has $16 left, that means she spent $200 - $16 = $184 in total. Okay, that makes sense. So if I add up all the items she bought except the shoes and subtract that total from $184, the difference must be what she paid for the shoes.\n\nLet me write that down:\n\nTotal budget: $200\nAmount remaining: $16\nTotal spent = Total budget - Amount remaining = $200 - $16 = $184.\n\nNow, adding up all the known expenses:\nShirt: $30\nSuit pants: $46\nSuit coat: $38\nSocks: $11\nBelt: $18\n\nLet me calculate that step by step to avoid mistakes. Starting with the shirt and pants: $30 + $46 = $76. Then adding the suit coat: $76 + $38 = $114. Next, the socks: $114 + $11 = $125. Finally, adding the belt: $125 + $18 = $143. \n\nSo the sum of all the known items is $143. Therefore, the amount spent on shoes must be the total spent minus the sum of known expenses. That would be $184 - $143 = $41. \n\nWait a second, let me double-check these calculations to ensure I didn't add anything wrong. \n\nStarting over:\n\n$30 for the shirt,\n$46 for the pants: 30 + 46 = 76,\n$38 for the coat: 76 + 38 = 114,\n$11 for the socks: 114 +11 = 125,\n$18 for the belt: 125 +18 = 143. \n\nYes, that's still $143. Total spent is $184, so $184 minus $143 equals $41. So, the shoes were $41. \n\nLet me verify once more. If the total spent is $184 and adding $41 for the shoes to $143 gives $184, that checks out. So her remaining money would be $200 - $184 = $16, which matches the problem statement. \n\nTherefore, I think $41 is the correct amount she paid for the shoes. I don't see any errors in my calculations, so that should be the answer.\n</think>\n\nAlexis started with a budget of $200 and had $16 remaining after her purchases. Therefore, the total amount she spent is:\n\n\\[\n\\$200 - \\$16 = \\$184\n\\]\n\nNext, we sum the costs of all the items except the shoes:\n\n\\[\n\\$30 \\ (\\text{shirt}) + \\$46 \\ (\\text{pants}) + \\$38 \\ (\\text{coat}) + \\$11 \\ (\\text{socks}) + \\$18 \\ (\\text{belt}) = \\$143\n\\]\n\nTo find the cost of the shoes, subtract the total of the known expenses from the total spent:\n\n\\[\n\\$184 - \\$143 = \\$41\n\\]\n\n**Answer:** \\boxed{41}",
"agent_evaluate_success": null,
"boxed_answer_success": true,
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{
"id": "8bff0a79-f391-4926-9974-793da48a26b1",
"type": "openai/gsm8k",
"problem": "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?",
"solution": "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\nShe 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\nOvertime 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\nHer overtime pay is 18+9 = $<<18+9=27.00>>27.00\nHer base pay is $144.00 per 8-hour shift and she works 5 days and makes 5 * $144 = $<<144*5=720.00>>720.00\nHer 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\n2 hours of overtime pay for 5 days means she makes 54*5 = $270.00\nIn 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\n\\boxed{990}",
"final_trace": "<think>\nOkay, let me tackle this problem step by step. So, Tina earns $18.00 an hour normally, but if she works more than 8 hours in a shift, she gets overtime pay. Overtime is calculated as her regular hourly wage plus half of that, right? So, basically, overtime pay is time and a half. She works 10 hours every day for 5 days. We need to figure out her total earnings for the week.\n\nFirst, I need to break down each day's work into regular hours and overtime hours. Since overtime starts after 8 hours of work in a single shift, each day Tina works 8 regular hours and 2 overtime hours. Let me confirm that once: she works 10 hours daily, subtract the first 8 hours for regular pay, and the remaining 2 hours are overtime. Yes, that's correct. So each day, 8 regular hours and 2 overtime hours.\n\nNext, let's compute her pay for one day and then multiply by 5 days. For each day, her regular pay would be 8 hours multiplied by $18.00. Then her overtime pay is 2 hours multiplied by her overtime rate.\n\nWait, the overtime is her hourly wage plus half her hourly wage. So that would be $18.00 + ($18.00 * 0.5) = $18.00 + $9.00 = $27.00 per hour for overtime. Got that. So, for each overtime hour, she earns $27.00.\n\nCalculating the daily earnings: first, regular pay. 8 hours * $18 = let's compute that. 8*10 is 80, but 8*18... Hmm, 8*10 is 80, 8*8 is 64, so total is $144. Wait, 8*18 \u2013 let me do it properly. 10*18 = 180, so 8*18 would be 180 minus 2*18 (which is 36), so 180 \u2013 36 = $144. Got it. So regular pay is $144 per day.\n\nOvertime is 2 hours * $27.00 per hour. 2*27 = $54. So her total earnings each day are $144 + $54 = $198.\n\nWait, let me check that again. 18*8 is 144, 27*2 is 54. 144+54=198, correct. Then she works 5 days in total. So, total earnings would be $198 per day * 5 days. What's 198*5?\n\nLet me compute 200*5 = 1000, minus 2*5=10, so 1000 -10=990. So total earnings are $990.\n\nHold on, let me make sure all steps are accurate here.\n\nBreaking down each day:\n\n- First 8 hours: 8 * $18 = $144\n- Next 2 hours: 2 * ($18 * 1.5) = 2 * $27 = $54\n- Total per day: $144 + $54 = $198\n- For 5 days: 5 * $198 = $990\n\nWait, another way to compute this: maybe total regular hours and total overtime hours across 5 days?\n\nThat's another approach. In a week, how many regular hours would she have? Since each day she works 8 regular hours, so 8*5=40 regular hours.\n\nOvertime hours would be 2 hours per day, so 2*5=10 overtime hours.\n\nSo, total regular pay: 40 * 18 = ?\n\n40*10=400, 40*8=320, 400+320=720. Wait, that's $720.\n\nWait, hold on! Wait, this contradicts the earlier result. Which one is correct?\n\nWait a second, so if we calculate per day as $198 for 5 days = $990, but if we calculate total regular hours and overtime separately, 40 regular *$18= $720, 10 overtime*$27 = $270. Then $720 + $270 = $990. Okay, so same answer. That confirms it.\n\nWait, so why is that conflicting? Because when he did per day sums to the same as per week.\n\nBut the first method is per day: $198*5=990. Second method: (40*18 +10*27) = same 990. So both methods yield same result. So, confirmed.\n\nTherefore, Tina makes $990 in total.\n\nI think that is solid. Let me just verify step-by-step once more without any calculations.\n\n1. Daily schedule: 10 hours\n2. Overtime applies after 8 hours; so per day: 8 regular, 2 overtime.\n3. Regular rate: $18/hr. Overtime rate: 1.5*18 = $27/hr.\n4. Daily earnings: (8*18)+(2*27)=144+54=198\n5. Weekly earnings: 198*5=990\n6. Cross check by total hours:\n - Regular total: 5*8=40 hours. 40*18=720\n - Overtime total:5*2=10 hours. 10*27=270\n - Total: 720+270=990. Same as before.\n \nTherefore, the answer is $990.\n\nBut wait a minute. Are there any nuances I might have missed? For example, sometimes in some contexts, overtime is weekly, but the problem says \"per shift,\" which is daily. So if in a day she works more than 8 hours, the over 8 is overtime. So it's daily overtime, not weekly. So handling it as 2 hours per day is correct here. Hence, calculation is correct.\n\nAlright, I'm confident that $990 is the correct answer.\n</think>\n\nTina's total earnings can be calculated by separating her regular and overtime hours for each day and then summing them over the 5-day workweek.\n\n1. **Daily Breakdown:**\n - **Regular Hours:** 8 hours/day at $18.00/hour.\n - \\( 8 \\, \\text{hours} \\times 18 = 144 \\, \\text{dollars/day} \\)\n - **Overtime Hours:** 2 hours/day at 1.5 times the regular rate (\\( 18 + \\frac{1}{2} \\times 18 = 27 \\, \\text{dollars/hour} \\)).\n - \\( 2 \\, \\text{hours} \\times 27 = 54 \\, \\text{dollars/day} \\)\n - **Total Daily Earnings:** \\( 144 + 54 = 198 \\, \\text{dollars/day} \\)\n\n2. **Weekly Total:**\n - \\( 198 \\, \\text{dollars/day} \\times 5 \\, \\text{days} = 990 \\, \\text{dollars} \\)\n\n3. **Verification via Total Hours:**\n - **Regular Hours:** \\( 8 \\times 5 = 40 \\, \\text{hours} \\)\n - \\( 40 \\times 18 = 720 \\, \\text{dollars} \\)\n - **Overtime Hours:** \\( 2 \\times 5 = 10 \\, \\text{hours} \\)\n - \\( 10 \\times 27 = 270 \\, \\text{dollars} \\)\n - **Total:** \\( 720 + 270 = 990 \\, \\text{dollars} \\)\n\nBoth methods confirm the total earnings.\n\n**Answer:** \\boxed{990}",
"agent_evaluate_success": null,
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}
]
}
π€ Upload the Data to Hugging Face#
After weβve distilled the desired data, letβs upload it to Hugging Face and share it with more people!
Define the dataset upload pipeline, including steps like creating records, generating a dataset card, and other necessary tasks.
[ ]:
# Import necessary modules and classes
from camel.datahubs.huggingface import HuggingFaceDatasetManager # Manages interactions with Hugging Face datasets
from camel.datahubs.models import Record # Represents a single record in the dataset
from datetime import datetime # Handles date and time operations
import json # For reading JSON files
def load_star_output(file_path):
r"""Load and parse the star output JSON file.
Args:
file_path (str): Path to the star_output.json file.
Returns:
list: List of traces from the JSON file.
"""
with open(file_path, 'r') as f:
data = json.load(f)
return data['traces']
# Main function: Upload dataset to Hugging Face
def upload_to_huggingface(transformed_data, username, dataset_name=None):
r"""Uploads transformed data to the Hugging Face dataset platform.
Args:
transformed_data (list): Transformed data, typically a list of dictionaries.
username (str): Hugging Face username.
dataset_name (str, optional): Custom dataset name.
Returns:
str: URL of the uploaded dataset.
"""
# Initialize HuggingFaceDatasetManager to interact with Hugging Face datasets
manager = HuggingFaceDatasetManager()
# Generate or validate the dataset name
dataset_name = generate_or_validate_dataset_name(username, dataset_name)
# Create the dataset on Hugging Face and get the dataset URL
dataset_url = create_dataset(manager, dataset_name)
# Create a dataset card to add metadata
create_dataset_card(manager, dataset_name, username)
# Convert the transformed data into a list of Record objects
records = create_records(transformed_data)
# Add the Record objects to the dataset
add_records_to_dataset(manager, dataset_name, records)
# Return the dataset URL
return dataset_url
# Generate or validate the dataset name
def generate_or_validate_dataset_name(username, dataset_name):
r"""Generates a default dataset name or validates and formats a user-provided name.
Args:
username (str): Hugging Face username.
dataset_name (str, optional): User-provided custom dataset name.
Returns:
str: Formatted dataset name.
"""
if dataset_name is None:
# If no dataset name is provided, generate a default name with the username and current date
current_date = datetime.now().strftime("%Y%m%d")
dataset_name = f"star_traces_{current_date}"
# Format the dataset name to include the username
return f"{username}/{dataset_name}"
# Create a dataset on Hugging Face
def create_dataset(manager, dataset_name):
r"""Creates a new dataset on Hugging Face and returns the dataset URL.
Args:
manager (HuggingFaceDatasetManager): Instance of HuggingFaceDatasetManager.
dataset_name (str): Name of the dataset.
Returns:
str: URL of the created dataset.
"""
dataset_url = manager.create_dataset(dataset_name)
return dataset_url
# Create a dataset card with metadata
def create_dataset_card(manager, dataset_name, username):
r"""Creates a dataset card to add metadata
Args:
manager (HuggingFaceDatasetManager): Instance of HuggingFaceDatasetManager.
dataset_name (str): Name of the dataset.
username (str): Hugging Face username.
"""
manager.create_dataset_card(
dataset_name=dataset_name,
description="A dataset containing mathematical problem-solving traces with step-by-step solutions and improvement history. Each record includes a mathematical problem, its final solution, and the iterative improvement process.",
license="mit", # Using lowercase 'mit' as required by HuggingFace
tags=["math", "problem-solving", "step-by-step", "traces"],
authors=[username],
language=["en"],
task_categories=["text-generation"],
content="This dataset contains mathematical problem-solving traces generated using the CAMEL framework. Each entry includes:\n\n"
"- A mathematical problem statement\n"
"- A detailed step-by-step solution\n"
)
# Convert transformed data into Record objects
def create_records(transformed_data):
r"""Converts transformed data into a list of Record objects.
Args:
transformed_data (list): List of trace dictionaries from star_output.json.
Returns:
list: List of Record objects.
"""
records = []
for trace in transformed_data:
record = Record(
source_type=trace['type'],
problem=trace['problem'],
solution=trace['final_trace'],
)
records.append(record)
return records
# Add Record objects to the dataset
def add_records_to_dataset(manager, dataset_name, records):
r"""Adds a list of Record objects to the dataset.
Args:
manager (HuggingFaceDatasetManager): Instance of HuggingFaceDatasetManager.
dataset_name (str): Name of the dataset.
records (list): List of Record objects.
"""
manager.add_records(dataset_name, records)
π Config Access Token of Hugging Face and Upload the Data#
You can go to here to get API Key from Hugging Face, also make sure you have opened the write access to repository.
Then create a New Dataset in Hugging Face:
[ ]:
# Get HuggingFace token and username
HUGGING_FACE_TOKEN = getpass('Enter your HUGGING_FACE_TOKEN: ')
os.environ["HUGGING_FACE_TOKEN"] = HUGGING_FACE_TOKEN
username = input("Enter your HuggingFace username: ")
dataset_name = input("Enter your dataset name:")
# Load the star output data
current_dir = os.getcwd()
star_output_path = os.path.join(current_dir, './generated_data.json')
traces = load_star_output(star_output_path)
# Upload the data to HuggingFace
dataset_url = upload_to_huggingface(traces, username, dataset_name)
print(f"\nDataset uploaded successfully!")
print(f"You can view your dataset at: {dataset_url}")
Enter your HUGGING_FACE_TOKEN: Β·Β·Β·Β·Β·Β·Β·Β·Β·Β·
Enter your HuggingFace username: Wendong-Fan
Enter your dataset name:camel_dataset_example_2
Dataset uploaded successfully!
You can view your dataset at: https://huggingface.co/datasets/Wendong-Fan/camel_dataset_example_2
π Final Uploaded Data Preview#
π Highlights#
High-Quality Synthetic Data Generation: CAMELβs pipeline distills mathematical reasoning datasets with detailed step-by-step solutions, ideal for synthetic data generation.
Public Datasets: Includes the AMC AIME STaR, AMC AIME Distilled, and GSM8K Distilled Datasets, providing diverse problems and reasoning solutions across various math topics.
Hugging Face Integration: Easily share and access datasets on Hugging Face for collaborative research and development.
Customizable & Scalable: Supports parallel processing, customizable agents, and reward models for efficient, large-scale data generation.
Thatβs everything: Got questions about π« CAMEL-AI? Join us on Discord! Whether you want to share feedback, explore the latest in multi-agent systems, get support, or connect with others on exciting projects, weβd love to have you in the community! π€
Check out some of our other work:
π« Creating Your First CAMEL Agent free Colab
Graph RAG Cookbook free Colab
π§ββοΈ Create A Hackathon Judge Committee with Workforce free Colab
π₯ 3 ways to ingest data from websites with Firecrawl & CAMEL free Colab
π¦₯ Agentic SFT Data Generation with CAMEL and Mistral Models, Fine-Tuned with Unsloth free Colab
Thanks from everyone at π« CAMEL-AI