Dataset Viewer
question
stringlengths 51
761
| data_source
stringclasses 1
value | ability
stringclasses 1
value | difficulty
float64 8
9
| prompt
stringlengths 21.4k
98.5k
| answer
stringlengths 1
30
| reward_model
dict | extra_info
dict |
|---|---|---|---|---|---|---|---|
"Determine whether the function \\( \\sigma : \\mathbb{R}^{m \\times n} \\rightarrow \\mathbb{R}^m \(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
Yes
|
{
"ground_truth": "Yes",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"Yes","question":"Determine whether there exi(...TRUNCATED) |
"Compute the residue of the differential form \\( \\frac{dz}{w^3} \\) at the point \\( p \\) on the (...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
-3
|
{
"ground_truth": "-3",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.5,"final_answer":"0","question":"Find the residue of the funct(...TRUNCATED) |
"Let $D$ be a unique factorization domain (UFD) with infinitely many maximal ideals. Determine wheth(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
Yes
|
{
"ground_truth": "Yes",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"Yes","question":"Determine whether every uni(...TRUNCATED) |
"Evaluate the integral \\( \\int\\limits_{|x|=2}\\frac{x}{\\cos (x)}\\mathrm{dx} \\) using complex a(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
-2\pi^2 i
|
{
"ground_truth": "-2\\pi^2 i",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"0","question":"Evaluate the limit: \\[ \\lim(...TRUNCATED) |
"Calculate the conditional expectation \\( \\mathbb{E}(X \\mid XY) \\) where \\( X \\) and \\( Y \\)(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
0
|
{
"ground_truth": "0",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"\\dfrac{1}{2}","question":"Let $X, Y, Z$ be (...TRUNCATED) |
"Find the minimum value of \\( \\int_0^1 (f''(x))^2 \\, dx \\) for functions \\( f \\) that are twic(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
12
|
{
"ground_truth": "12",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"Yes","question":"Consider the functions \\( (...TRUNCATED) |
"Consider a surface $S$ from which two discs have been removed. If the boundary circles of these two(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
Yes
|
{
"ground_truth": "Yes",
"style": "rule"
}
| {"related_questions":[{"difficulty":9.0,"final_answer":"Yes","question":"Let $S$ be an algebraic smo(...TRUNCATED) |
"Let $k$ be a number field, and $F/k$ a finite extension. Is it possible to find a countable family (...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 9 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
Yes
|
{
"ground_truth": "Yes",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"Yes","question":"Let $F$ be a finite Galois (...TRUNCATED) |
"Let $T$ be a continuous linear operator. Suppose $(u_n)$ is a sequence that converges weakly to $u$(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8.5 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
No
|
{
"ground_truth": "No",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.0,"final_answer":"Yes","question":"Let $H_{1}$ and $H_{2}$ be (...TRUNCATED) |
"Consider a sequence $(r_n)$ resulting from infinite coin flips, where $R_n=1$ if $r_n$ is a head an(...TRUNCATED) |
deepmath_difficulty_8_plus
|
math
| 8 | "\nYou are provided with solutions to related problems, which may contain useful insights for solvin(...TRUNCATED) |
1
|
{
"ground_truth": "1",
"style": "rule"
}
| {"related_questions":[{"difficulty":8.5,"final_answer":"Yes","question":"Given a bounded convex open(...TRUNCATED) |
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