problem
stringlengths 64
1.26k
| label
stringlengths 1
115
| reasoning_store
listlengths 16
16
| summarization_store
listlengths 16
16
| problem_id
stringlengths 21
27
| sample_id
stringclasses 4
values |
|---|---|---|---|---|---|
"For a given positive integer $N$, Henry writes the quotient of $ab$ divided by $N+1$ on the board f(...TRUNCATED)
|
3
| ["Okay, let's try to tackle this problem step by step. First, let's make sure I understand the probl(...TRUNCATED)
| ["Okay, let me try to work through this problem step by step. So the problem says: For a given posit(...TRUNCATED)
|
imo-bench-algebra-001
|
0
|
"For a given positive integer $N$, Henry writes the quotient of $ab$ divided by $N+1$ on the board f(...TRUNCATED)
|
3
| ["Okay, let's try to tackle this problem step by step. First, let's make sure I understand the probl(...TRUNCATED)
| ["Okay, let me try to work through this problem step by step. So the problem is: For a given positiv(...TRUNCATED)
|
imo-bench-algebra-001
|
1
|
"For a given positive integer $N$, Henry writes the quotient of $ab$ divided by $N+1$ on the board f(...TRUNCATED)
|
3
| ["Okay, let's try to solve this problem step by step. First, let's make sure I understand the proble(...TRUNCATED)
| ["Okay, let's try to figure out how to summarize the latest candidate solution. The problem is about(...TRUNCATED)
|
imo-bench-algebra-001
|
2
|
"For a given positive integer $N$, Henry writes the quotient of $ab$ divided by $N+1$ on the board f(...TRUNCATED)
|
3
| ["Okay, let's try to tackle this problem step by step. First, let's make sure I understand the probl(...TRUNCATED)
| ["Okay, let's tackle this problem step by step. First, I need to make sure I understand what the pro(...TRUNCATED)
|
imo-bench-algebra-001
|
3
|
"Given a positive integer $a$, let $\\pi:\\{1,2,\\ldots , a\\}\\to\\{1,2,\\ldots , a\\}$ be a biject(...TRUNCATED)
|
$\left\lfloor \log_{2}a\right\rfloor +1$.
| ["Okay, let's try to tackle this problem step by step. The problem says: Given a positive integer \\(...TRUNCATED)
| ["Okay, let's try to figure out the minimum possible value of the sum $\\sum_{i=1}^{a} \\left\\lfloo(...TRUNCATED)
|
imo-bench-algebra-002
|
0
|
"Given a positive integer $a$, let $\\pi:\\{1,2,\\ldots , a\\}\\to\\{1,2,\\ldots , a\\}$ be a biject(...TRUNCATED)
|
$\left\lfloor \log_{2}a\right\rfloor +1$.
| ["Okay, let's try to tackle this problem step by step. The problem is: given a positive integer \\( (...TRUNCATED)
| ["Okay, let's try to figure out the minimum sum for this problem. The problem says: given a positive(...TRUNCATED)
|
imo-bench-algebra-002
|
1
|
"Given a positive integer $a$, let $\\pi:\\{1,2,\\ldots , a\\}\\to\\{1,2,\\ldots , a\\}$ be a biject(...TRUNCATED)
|
$\left\lfloor \log_{2}a\right\rfloor +1$.
| ["Okay, let's try to tackle this problem step by step. The problem says: Given a positive integer \\(...TRUNCATED)
| ["Okay, let's try to figure out the minimum possible value of the sum $ \\sum_{i=1}^{a} \\left\\lflo(...TRUNCATED)
|
imo-bench-algebra-002
|
2
|
"Given a positive integer $a$, let $\\pi:\\{1,2,\\ldots , a\\}\\to\\{1,2,\\ldots , a\\}$ be a biject(...TRUNCATED)
|
$\left\lfloor \log_{2}a\right\rfloor +1$.
| ["Okay, let's try to tackle this problem step by step. The problem is: given a positive integer \\( (...TRUNCATED)
| ["Okay, let's try to work through this problem step by step. The problem is: Given a positive intege(...TRUNCATED)
|
imo-bench-algebra-002
|
3
|
"Find all functions $g:\\mathbb{R}\\rightarrow\\mathbb{R}$ which is not a linear function and satisf(...TRUNCATED)
|
$g(x)=2x^{3}+c, g(x)=-2x^{3}+c$
| ["Okay, let's try to tackle this problem step by step. First, the problem is to find all non-linear (...TRUNCATED)
| ["Okay, let me try to work through this problem step by step. The goal is to find all non-linear fun(...TRUNCATED)
|
imo-bench-algebra-003
|
0
|
"Find all functions $g:\\mathbb{R}\\rightarrow\\mathbb{R}$ which is not a linear function and satisf(...TRUNCATED)
|
$g(x)=2x^{3}+c, g(x)=-2x^{3}+c$
| ["Okay, let's try to tackle this problem step by step. First, the problem is to find all non-linear (...TRUNCATED)
| ["Okay, let's try to figure out how to summarize the latest candidate solution. The problem is to fi(...TRUNCATED)
|
imo-bench-algebra-003
|
1
|
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