content stringlengths 47 1.33k | response sequencelengths 8 8 |
|---|---|
"What is the total work done on an object when it is moved upwards against gravity, considering both(...TRUNCATED) | ["<think>\nOkay, so I need to figure out the total work done on an object when it's moved upwards ag(...TRUNCATED) |
"Propose a system of 'Practical Numbers' that denies the Axiom of Choice and the notion of infinity.(...TRUNCATED) | ["<think>\nOkay, so I need to come up with a system called 'Practical Numbers' that denies the Axiom(...TRUNCATED) |
"Solve the differential equation (1/F)(dF/dx) = 2, where F is a function of x and y. Use the method (...TRUNCATED) | ["<think>\nOkay, so I need to solve this differential equation: (1/F)(dF/dx) = 2. Hmm, let me think.(...TRUNCATED) |
"Two equal masses, each with a mass similar to that of the sun, are separated by a distance of 1 lig(...TRUNCATED) | ["<think>\nOkay, let me try to figure out this problem. So, there are two equal masses, each similar(...TRUNCATED) |
"Prove that for a vector space V = F^n, where n ≥ 1 and F is a field, there do not exist linear ma(...TRUNCATED) | ["<think>\nOkay, so I need to prove that for a vector space V = F^n, where n ≥ 1 and F is a field,(...TRUNCATED) |
"Discuss the feasibility of solving the particle in a box problem in quantum mechanics using creatio(...TRUNCATED) | ["<think>\nOkay, so I need to discuss the feasibility of solving the particle in a box problem using(...TRUNCATED) |
"Given the area of a parallelogram is 420 square centimeters and its height is 35 cm, find the corre(...TRUNCATED) | ["<think>\nOkay, so I need to find the corresponding base of a parallelogram. The problem says the a(...TRUNCATED) |
"What is the minimum number of red squares required to ensure that each of $n$ green axis-parallel s(...TRUNCATED) | ["<think>\nOkay, so I need to figure out the minimum number of red squares required to ensure that e(...TRUNCATED) |
"Two 3.0g bullets are fired with speeds of 40.0 m/s and 80.0 m/s respectively. What are their kineti(...TRUNCATED) | ["<think>\nOkay, so I need to find the kinetic energies of two bullets and then figure out which one(...TRUNCATED) |
"Consider a partial differential equation (PDE) of the form \\(u_t = ku_{xx}\\) with initial conditi(...TRUNCATED) | ["<think>\nOkay, so I need to analyze the behavior of the difference between two solutions, u and ba(...TRUNCATED) |
End of preview. Expand in Data Studio
Development Process
- question dataset from facebook/natural_reasoning
- We used Qwen/Qwen3-0.6B to evaluate the appropriateness of those candidates.
License
- Qwen/Qwen3-0.6B : https://choosealicense.com/licenses/apache-2.0/
- facebook/natural_reasoning : https://spdx.org/licenses/CC-BY-NC-4.0
Acknowledgement
This research is supported by TPU Research Cloud program
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