Category stringclasses 8
values | Subcategory stringclasses 45
values | Question stringlengths 16 126 |
|---|---|---|
Mathematics | Elementary Math | What is 47 × 89? |
Mathematics | Elementary Math | Add 3.14159 to 2.71828. |
Mathematics | Elementary Math | Subtract 987 from 1234. |
Mathematics | Elementary Math | What is the square root of 1521? |
Mathematics | Elementary Math | Round 7.654321 to two decimal places. |
Mathematics | Elementary Math | What is 5 % of 240? |
Mathematics | Elementary Math | Divide 10 by 0.25. |
Mathematics | Elementary Math | What is the result of (3 + 5) × 2? |
Mathematics | Algebra | Solve for x: 2x² – 4x + 1 = 0. |
Mathematics | Algebra | Factor the polynomial x³ – 6x² + 11x – 6. |
Mathematics | Algebra | Find the inverse of the matrix [[2,3],[5,7]]. |
Mathematics | Algebra | Simplify (x² – 9)/(x + 3). |
Mathematics | Algebra | Determine the roots of x⁴ – 5x² + 4 = 0. |
Mathematics | Algebra | Solve the system: {2a + 3b = 7, 4a – b = 1}. |
Mathematics | Algebra | Find the value of y if 3y + 2 = 11. |
Mathematics | Algebra | Simplify √(25x²) assuming x > 0. |
Mathematics | Calculus | Compute the derivative of sin(x) · eˣ. |
Mathematics | Calculus | Integrate x³ from 0 to 2. |
Mathematics | Calculus | Find the limit of (1 + 1/n)ⁿ as n approaches infinity. |
Mathematics | Calculus | Solve ∫₀¹ (ln(x))² dx. |
Mathematics | Calculus | Compute the second derivative of x⁴ – 4x³ + 6x². |
Mathematics | Calculus | Find the area under y = e^(–x) from x=0 to 5. |
Mathematics | Calculus | Solve the differential equation dy/dx = y · sin(x). |
Mathematics | Calculus | Compute ∫₀²π sin³(t) dt. |
Mathematics | Geometry | What is the circumference of a circle with radius 7 cm? |
Mathematics | Geometry | Calculate the area of an equilateral triangle with side length 9 in. |
Mathematics | Geometry | Find the volume of a sphere with diameter 10 m. |
Mathematics | Geometry | What is the surface area of a cube with edge length 4 ft? |
Mathematics | Geometry | Determine the angle between two diagonals in a regular hexagon. |
Mathematics | Geometry | Compute the length of a chord that subtends 60° at the center of a circle with radius 5 cm. |
Mathematics | Geometry | What is the area of a trapezoid with bases 8 m and 12 m, height 5 m? |
Mathematics | Geometry | Find the volume of a cone with radius 3 in and height 7 in. |
Mathematics | Linear Algebra | Find the eigenvalues of [[2,0],[0,3]]. |
Mathematics | Linear Algebra | Compute the determinant of [[1,2,3],[4,5,6],[7,8,10]]. |
Mathematics | Linear Algebra | Determine the rank of [[1,2,3],[4,5,6],[7,8,9]]. |
Mathematics | Linear Algebra | Find the inverse of [[0,1],[1,0]]. |
Mathematics | Linear Algebra | Solve the linear system Ax = b where A=[[2,1],[3,4]] and b=[5,6]ᵀ. |
Mathematics | Linear Algebra | Compute the dot product of vectors [1,2,3] and [4,5,6]. |
Mathematics | Linear Algebra | Find the cross product of vectors [1,0,0] and [0,1,0]. |
Mathematics | Linear Algebra | Determine the orthogonal projection of vector [3,4] onto [1,2]. |
Mathematics | Statistics | What is the mean of the dataset {3,5,7,9,11}? |
Mathematics | Statistics | Calculate the standard deviation of {10,12,14,16,18}. |
Mathematics | Statistics | Find the median of {4,8,15,16,23,42}. |
Mathematics | Statistics | Compute the probability that a standard normal variable is less than 1.5. |
Mathematics | Statistics | What is the correlation coefficient between x={1,2,3} and y={4,5,6}? |
Mathematics | Statistics | Determine the 95 % confidence interval for a sample mean of {2.3,2.5,2.7,2.9}. |
Mathematics | Statistics | Calculate the variance of {0,1,4,9,16}. |
Mathematics | Statistics | What is the chi‑square statistic for observed counts {10,15,25} vs expected {12,18,20}? |
Mathematics | Number Theory | Find the prime factors of 2310. |
Mathematics | Number Theory | Compute the greatest common divisor of 48 and 180. |
Mathematics | Number Theory | What is Euler’s totient function φ(100)? |
Mathematics | Number Theory | Determine if 97 is a prime number. |
Mathematics | Number Theory | Find the least common multiple of 12, 18, and 24. |
Mathematics | Number Theory | Calculate the modular inverse of 7 modulo 26. |
Mathematics | Number Theory | What is the smallest integer n such that n² ≡ 1 (mod 15)? |
Mathematics | Number Theory | Determine the decimal expansion of 1/7 to ten places. |
Mathematics | Plotting | Plot y = sin(x) from x=0 to 2π. |
Mathematics | Plotting | Graph the function f(t)=e^(–t) for t∈[0,5]. |
Mathematics | Plotting | Show the trajectory of y = x² – 4x + 3. |
Mathematics | Plotting | Plot the region bounded by y=√(x) and y=x² for x∈[0,2]. |
Mathematics | Plotting | Display the 3‑D surface z = sin(x) cos(y) for x,y∈[0,π]. |
Mathematics | Plotting | Graph the probability density function of a normal distribution with μ=0 and σ=1. |
Mathematics | Plotting | Plot the Fibonacci sequence terms up to n=12. |
Mathematics | Plotting | Show a scatter plot of points (1,2), (3,5), (4,7). |
Mathematics | Boolean Algebra | Simplify the expression (A ∧ B) ∨ (¬A ∧ C). |
Mathematics | Boolean Algebra | Determine the truth table for A ⊕ B. |
Mathematics | Boolean Algebra | Find the minimal sum‑of‑products form for f(A,B,C)=Σ(1,3,5). |
Mathematics | Boolean Algebra | Convert the boolean expression (X ∨ Y) ∧ ¬(Y ∧ Z) to NAND form. |
Mathematics | Boolean Algebra | Simplify (P → Q) ∧ (Q → R). |
Mathematics | Boolean Algebra | Find the Karnaugh map for f(A,B,C,D)=Σ(0,2,5,7). |
Mathematics | Boolean Algebra | Determine if the function f(A,B)=A ∧ (¬B ∨ A) is a tautology. |
Mathematics | Boolean Algebra | Simplify the expression (A ⊕ B) ∧ (B ⊕ C). |
Mathematics | Sequences & Series | Find the sum of the arithmetic series 3,6,9,…,30. |
Mathematics | Sequences & Series | Compute the limit of (1 + 1/n)ⁿ as n→∞. |
Mathematics | Sequences & Series | Determine the nth term of the geometric series with first term 2 and ratio 3. |
Mathematics | Sequences & Series | Calculate the sum of the first 10 terms of the harmonic series. |
Mathematics | Sequences & Series | Find the generating function for the Fibonacci sequence. |
Mathematics | Sequences & Series | Compute the radius of convergence for Σ n²xⁿ. |
Mathematics | Sequences & Series | Determine if the series Σ (−1)ⁿ/n converges. |
Mathematics | Sequences & Series | Find the closed form of the Catalan numbers Cₙ. |
Physics | Mechanics | What is the kinetic energy of a 5 kg mass moving at 10 m/s? |
Physics | Mechanics | Calculate the acceleration of an object with force 50 N and mass 10 kg. |
Physics | Mechanics | Determine the work done by a force of 20 N over a displacement of 3 m. |
Physics | Mechanics | Find the period of a simple pendulum with length 2 m and g=9.81 m/s². |
Physics | Mechanics | Compute the escape velocity from Earth’s surface. |
Physics | Mechanics | What is the gravitational potential energy of a 10 kg mass at height 15 m? |
Physics | Mechanics | Determine the spring constant k if a 2 kg mass stretches it by 0.5 m. |
Physics | Mechanics | Calculate the terminal velocity of a sphere with radius 0.1 m in air. |
Physics | Optics | What is the focal length of a lens with power 0.2 diopters? |
Physics | Optics | Calculate the refractive index needed to focus parallel rays at 30 cm. |
Physics | Optics | Determine the angle of refraction when light passes from air to glass at 45° incidence. |
Physics | Optics | Compute the diffraction pattern intensity at distance x for a single slit of width 0.5 mm. |
Physics | Optics | What is the magnification of an optical microscope with objective power 40× and eyepiece 10×? |
Physics | Optics | Find the focal length of a concave mirror with radius 1 m. |
Physics | Optics | Calculate the optical path difference for light traveling through two media of lengths 5 cm and 3 cm with indices 1.5 and 2.0. |
Physics | Optics | Determine the angular resolution of a telescope with aperture 1 m at wavelength 500 nm. |
Physics | Quantum | What is the energy of a photon with wavelength 600 nm? |
Physics | Quantum | Calculate the de Broglie wavelength of an electron moving at 1×10⁶ m/s. |
Physics | Quantum | Determine the probability density of an electron in the ground state of a hydrogen atom at r=1 Å. |
Physics | Quantum | Compute the Bohr radius for hydrogen. |
YAML Metadata Warning:empty or missing yaml metadata in repo card
Check out the documentation for more information.
WolframAlpha_API_Questions
A curated collection of 276 mathematical, scientific and general‑knowledge questions that can be sent a queries to the Wolfram|Alpha API.
The dataset is released under an MIT License and is hosted on Hugging Face for easy reuse in research, education and application development.
Repository URL: https://huggingface.co/datasets/abhibambhaniya/WolframAlpha_API_Questions
License: MIT
Dataset Contents
id,category,sub_category,question,answer
1,Mathematics,Elementary Math,"What is 47 × 89?",4183
2,Mathematics,Algebra,"Solve for x: 2x² – 4x + 1 = 0.",0.5,1.5
...
276,Additional Domains (New Categories),Environmental Science – Carbon Footprint,"What is the annual carbon footprint of a household consuming 12,000 kWh?",???
Note: The above is a truncated preview; the full file contains all 276 entries.
Usage Examples
from datasets import load_dataset
dataset = load_dataset("abhibambhaniya/WolframAlpha_API_Questions", data_files="wolfram_alpha_queries_full.csv")
import pandas as pd
# Convert the 'train' split to a Pandas DataFrame
df = dataset['train'].to_pandas()
# Display the head of the DataFrame
print(df.head())
Dataset Overview
| Category | Sub‑Category | # Entries |
|---|---|---|
| Mathematics | Elementary Math | 10 |
| Algebra | 15 | |
| Calculus | 15 | |
| Geometry | 8 | |
| Linear Algebra | 7 | |
| Statistics | 10 | |
| Number Theory | 8 | |
| Plotting | 5 | |
| Boolean Algebra | 4 | |
| Sequences & Series | 12 | |
| Physics | Mechanics | 8 |
| Optics | 6 | |
| Quantum | 7 | |
| Electrical Circuits & Signal Equations | 9 | |
| Chemistry | Elements | 6 |
| Compounds | 7 | |
| Reactions | 9 | |
| Units & Conversions | Length | 4 |
| Temperature | 4 | |
| Speed | 4 | |
| Mass | 4 | |
| Calculations | 5 | |
| Digital Storage | 3 | |
| Energy | 6 | |
| Date & Time | Current | 4 |
| Information | 5 | |
| Duration | 3 | |
| Arithmetic | 4 | |
| Time Zones | 2 | |
| Unix Time | 3 | |
| Calendar | 6 | |
| Geography | Countries | 5 |
| Cities | 4 | |
| Distances | 3 | |
| Weather | 6 | |
| Economics | Market | 4 |
| Currency Exchange Rates | 3 | |
| Population | 2 | |
| GDP | 3 | |
| Compound Interest or ROI Computation | 6 | |
| Additional Domains (New Categories) | Astronomy | 5 |
| Engineering – Structural Calculations | 6 | |
| Computer Science – Algorithm Complexity | 4 | |
| Environmental Science – Carbon Footprint | 5 |
Total: 276 entries
License
This dataset is released under the MIT License.
Feel free to use, modify, and distribute it for both academic and commercial purposes.
Contributing
Contributions are welcome!
- Add new questions (ensure they map cleanly to Wolfram|Alpha).
- Improve answers or fix formatting errors.
- Submit a pull request with your changes.
Contact
- Author: Abhimanyu Bambhaniya
- GitHub: abhibambhaniya
- Email: abhibambhaniya@gmail.com
Citation
If you use this dataset in a publication, please cite:
@dataset{WolframAlpha_API_Questions,
author = {Bambhaniya, Abhimanyu},
title = {{WolframAlpha\_API\_Questions}: A public dataset of math & science questions},
year = {2025},
publisher = {Hugging Face},
version = {1.0},
url = {https://huggingface.co/datasets/abhibambhaniya/WolframAlpha_API_Questions}
}
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