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Algebraic Equation Dataset for Machine Learning
Introduction
This document contains a structured dataset of algebraic equations with their solutions, designed for training machine learning models. The dataset features diverse equation types, from simple linear equations to more complex systems of equations, trigonome... | null | There is no question provided in the document. If you would like to ask a question, I'll be happy to help you find an answer based on the information provided. |
Dataset Structure
Each entry follows this format: json { "input": "equation as string", "output": "solution", "type": "equation_type" } | null | There is no question provided. Please provide a question, and I'll do my best to answer it based on the given document. |
Equation Types
Linear - Simple first-degree equations (ax + b = c)
Quadratic - Second-degree equations (ax² + bx + c = 0)
Polynomial - Higher-degree polynomial equations
Rational - Equations with fractions containing variables
Absolute Value - Equations with absolute value expressions
System of Equations - System... | null | There is no question provided. Please provide a question related to the document, and I'll be happy to assist you with a clear and concise answer. |
Trigonometric - Equations with trigonometric functions
Sample Entries
Linear Equations
json { "input": "-5x - 10 = 0", "output": "-2", "type": "linear" }
json { "input": "8x + 9 = 1", "output": "-1", "type": "linear" }
Quadratic Equations
json { "input": "x² - 5x + 4 = 0", "output": "[1,4]", "type": "quadratic" }... | null | It appears that there is no question provided in the document. If you would like to ask a question or provide a specific problem related to the topic of trigonometric equations, I would be happy to assist you. |
Polynomial Equations
json { "input": "x³ - x² - 4x + 4 = 0", "output": "[-2,1,2]", "type": "polynomial" }
json { "input": "x³ - x = 0", "output": "[1,0,-1]", "type": "polynomial" }
Rational Equations
json { "input": "(-4x + 12)/(-x + 3) = 4", "output": "-5", "type": "rational" }
json { "input": "(-3x + 27)/(-x + 9... | null | It appears there is no question provided. If you would like to ask a question based on the document, I'll be happy to help. |
Absolute Value Equations
json { "input": "|-4x + 6| = 4", "output": "[0.5,2.5]", "type": "absolute_value" }
json { "input": "|3x + 1| = 4", "output": "[1,-1.6666666666666667]", "type": "absolute_value" }
Systems of Equations
json { "input": "3x + 5y = 5; 2x - 4y = 10", "output": "{\"x\":-3,\"y\":2}", "type": "syste... | null | It seems there is no question provided. Please provide a question, and I'll do my best to answer it based on the given document. |
Exponential Equations
json { "input": "10^(-x - 2) = 1", "output": "-2", "type": "exponential" }
json { "input": "2^(3x + 1) = 2", "output": "0", "type": "exponential" }
Logarithmic Equations
json { "input": "log_10(2x + 96) = 2", "output": "2", "type": "logarithmic" }
json { "input": "log_3(-3x + 12) = 2", "outpu... | null | It appears there is no question provided. If you would like to ask a question based on the document, I'll be happy to help. |
Trigonometric Equations
json { "input": "cos(x + π) = -1", "output": "0", "type": "trigonometric" }
json { "input": "sin(x + 0.79) = 0.707", "output": "0", "type": "trigonometric" } | null | There is no question provided in the prompt. Please provide a question related to the document, and I'll be happy to assist you. |
Linear Equations with Step-by-Step Solutions
json { "input": "-4x - 9 = 7", "output": "{\"steps\":[\"Step 1: Start with the original equation: -4x - 9 = 7\",\"Step 2: Move the constant term to the right side: -4x = 7 - 0\",\"Step 3: Simplify the right side: -4x = 7\",\"Step 4: Divide both sides by -4: x = -1.75\",\"St... | null | The solution to the linear equation "-4x - 9 = 7" is x = -1.75. |
Using This Dataset for ML Training
To use this dataset for machine learning model training:
Preprocessing:
Parse the JSON structure
Convert equation strings to appropriate tensor representations
Process solutions based on equation type
Data Splitting:
Split into training (80%), validation (10%), and test (10%) s... | null | There is no question provided in the document. If you would like to ask a question, I'll be happy to help you based on the information provided. |
Algebraic Equation Dataset for Machine Learning
Introduction
This document contains a structured dataset of algebraic equations with their solutions, designed for training machine learning models. The dataset features diverse equation types, from simple linear equations to more complex systems of equations, trigonome... | null | There is no question provided in the document. If you would like to ask a question based on the information in the document, I'll be happy to help. |
Dataset Structure
Each entry follows this format: json { "input": "equation as string", "output": "solution", "type": "equation_type" } | null | There is no question provided. Please provide a question, and I'll do my best to answer it based on the given document. |
Equation Types
Linear - Simple first-degree equations (ax + b = c)
Quadratic - Second-degree equations (ax² + bx + c = 0)
Polynomial - Higher-degree polynomial equations
Rational - Equations with fractions containing variables
Absolute Value - Equations with absolute value expressions
System of Equations - System... | null | There is no question provided in the document. If you would like to ask a question, I'll be happy to help based on the information provided. |
Trigonometric - Equations with trigonometric functions
Sample Entries
Linear Equations
json { "input": "-5x - 10 = 0", "output": "-2", "type": "linear" }
json { "input": "8x + 9 = 1", "output": "-1", "type": "linear" }
Quadratic Equations
json { "input": "x² - 5x + 4 = 0", "output": "[1,4]", "type": "quadratic" }... | null | It appears there is no question provided in the document. If you would like to ask a question or provide a specific query related to the document, I'll be happy to assist you. |
Polynomial Equations
json { "input": "x³ - x² - 4x + 4 = 0", "output": "[-2,1,2]", "type": "polynomial" }
json { "input": "x³ - x = 0", "output": "[1,0,-1]", "type": "polynomial" }
Rational Equations
json { "input": "(-4x + 12)/(-x + 3) = 4", "output": "-5", "type": "rational" }
json { "input": "(-3x + 27)/(-x + 9... | null | It appears there is no question provided. If you would like to ask a question based on the document, I'll be happy to help. |
Absolute Value Equations
json { "input": "|-4x + 6| = 4", "output": "[0.5,2.5]", "type": "absolute_value" }
json { "input": "|3x + 1| = 4", "output": "[1,-1.6666666666666667]", "type": "absolute_value" }
Systems of Equations
json { "input": "3x + 5y = 5; 2x - 4y = 10", "output": "{\"x\":-3,\"y\":2}", "type": "syste... | null | It seems there is no question provided. Please provide a question, and I'll do my best to answer it based on the given document. |
Exponential Equations
json { "input": "10^(-x - 2) = 1", "output": "-2", "type": "exponential" }
json { "input": "2^(3x + 1) = 2", "output": "0", "type": "exponential" }
Logarithmic Equations
json { "input": "log_10(2x + 96) = 2", "output": "2", "type": "logarithmic" }
json { "input": "log_3(-3x + 12) = 2", "outpu... | null | It appears there is no question provided. If you could please provide a question related to the document, I'll be happy to assist you with a clear and concise answer. |
Trigonometric Equations
json { "input": "cos(x + π) = -1", "output": "0", "type": "trigonometric" }
json { "input": "sin(x + 0.79) = 0.707", "output": "0", "type": "trigonometric" } | null | There is no question provided in the prompt. If you would like to ask a question, I'll be happy to help based on the information in the document. |
Linear Equations with Step-by-Step Solutions
json { "input": "-4x - 9 = 7", "output": "{\"steps\":[\"Step 1: Start with the original equation: -4x - 9 = 7\",\"Step 2: Move the constant term to the right side: -4x = 7 - 0\",\"Step 3: Simplify the right side: -4x = 7\",\"Step 4: Divide both sides by -4: x = -1.75\",\"St... | null | The solution to the linear equation "-4x - 9 = 7" is x = -1.75. |
Using This Dataset for ML Training
To use this dataset for machine learning model training:
Preprocessing:
Parse the JSON structure
Convert equation strings to appropriate tensor representations
Process solutions based on equation type
Data Splitting:
Split into training (80%), validation (10%), and test (10%) s... | null | There is no question provided in the document. If you would like to ask a question based on the information in the document, I'll be happy to help. |
YAML Metadata Warning:The task_categories "text2text-generation" is not in the official list: text-classification, token-classification, table-question-answering, question-answering, zero-shot-classification, translation, summarization, feature-extraction, text-generation, fill-mask, sentence-similarity, text-to-speech, text-to-audio, automatic-speech-recognition, audio-to-audio, audio-classification, audio-text-to-text, voice-activity-detection, depth-estimation, image-classification, object-detection, image-segmentation, text-to-image, image-to-text, image-to-image, image-to-video, unconditional-image-generation, video-classification, reinforcement-learning, robotics, tabular-classification, tabular-regression, tabular-to-text, table-to-text, multiple-choice, text-ranking, text-retrieval, time-series-forecasting, text-to-video, image-text-to-text, image-text-to-image, image-text-to-video, visual-question-answering, document-question-answering, zero-shot-image-classification, graph-ml, mask-generation, zero-shot-object-detection, text-to-3d, image-to-3d, image-feature-extraction, video-text-to-text, keypoint-detection, visual-document-retrieval, any-to-any, video-to-video, other
Dataset Card for my-distiset-1129e648
This dataset has been created with distilabel.
Dataset Summary
This dataset contains a pipeline.yaml which can be used to reproduce the pipeline that generated it in distilabel using the distilabel CLI:
distilabel pipeline run --config "https://huggingface.co/datasets/BarefootMikeOfHorme/my-distiset-1129e648/raw/main/pipeline.yaml"
or explore the configuration:
distilabel pipeline info --config "https://huggingface.co/datasets/BarefootMikeOfHorme/my-distiset-1129e648/raw/main/pipeline.yaml"
Dataset structure
The examples have the following structure per configuration:
Configuration: default
{
"context": "Algebraic Equation Dataset for Machine Learning\n\nIntroduction\n\nThis document contains a structured dataset of algebraic equations with their solutions, designed for training machine learning models. The dataset features diverse equation types, from simple linear equations to more complex systems of equations, trigonometric, exponential, and logarithmic equations.",
"question": null,
"response": "There is no question provided in the document. If you would like to ask a question, I\u0027ll be happy to help you find an answer based on the information provided."
}
This subset can be loaded as:
from datasets import load_dataset
ds = load_dataset("BarefootMikeOfHorme/my-distiset-1129e648", "default")
Or simply as it follows, since there's only one configuration and is named default:
from datasets import load_dataset
ds = load_dataset("BarefootMikeOfHorme/my-distiset-1129e648")
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