question stringlengths 0 3.14k | expected_answer stringlengths 0 689 | responses_create_params unknown | verifier_type stringclasses 1
value | agent_ref dict | uuid stringlengths 36 36 | _hf_question_placeholder unknown |
|---|---|---|---|---|---|---|
Your task is to find the solution to this math problem. Make sure your answer is inside \boxed{}.
Let
\[
I = \int_{0}^{1} \frac{\ln^{2} x + \ln^{2} (1-x) - \ln x \ln (1-x)}{1 - x + x^{2}} \, dx.
\]
All logarithms are natural and the integral is taken in the improper sense. Determine the exact closed-form value of \(I\... | \[
\frac{2\sqrt{3}\pi^{3}}{27}
\] | {
"input": [
{
"role": "user",
"content": "Your task is to find the solution to this math problem. Make sure your answer is inside \\boxed{}.\nLet\n\\[\nI = \\int_{0}^{1} \\frac{\\ln^{2} x + \\ln^{2} (1-x) - \\ln x \\ln (1-x)}{1 - x + x^{2}} \\, dx.\n\\]\n\nAll logarithms are natural and the integral ... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | c726869b-7ff1-4bb1-befd-7ec5fc264317 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | bd1eff54-9e2e-4218-94f5-62c2410bd593 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12701,
"prefix": "Solve this problem. Enclose your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 990fac00-ee86-4fba-80ae-a7b54ac4d7fb | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 94655,
"prefix": "",
"suffix": "\n\nPlease enclose your answer in \\boxed{}."
} | ||
Please work through this math problem. Enclose your answer in \boxed{}.
The classical Euler gamma function \(\Gamma(x)\) may be defined for \(x>0\) by
\[
\Gamma(x)=\int_{0}^{\infty}t^{x-1}e^{-t}dt.
\]
The logarithmic derivative of \(\Gamma(x)\), denoted by \(\psi(x) = \frac{\Gamma'(x)}{\Gamma(x)}\), is called the psi ... | \[\left(\left(\frac{(k-1)!}{|\psi^{(k)}(1)|}\right)^{1/k}, \frac 1 2\right)\] | {
"input": [
{
"role": "user",
"content": "Please work through this math problem. Enclose your answer in \\boxed{}.\nThe classical Euler gamma function \\(\\Gamma(x)\\) may be defined for \\(x>0\\) by\n\\[\n\\Gamma(x)=\\int_{0}^{\\infty}t^{x-1}e^{-t}dt. \n\\]\nThe logarithmic derivative of \\(\\Gamma(... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | f10d9fb5-d860-4f21-9cd4-e3f65b461494 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1530ad86-8628-4e31-a26b-15c0a9513c93 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12702,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
Find discrete random variables \( Y \) and \( X \) such that \( E(X \mid Y) = E(X) \) and \( E(Y \mid X) \neq E(Y) \).
Make sure to use \boxed{} for your answer. | \( X \sim \mathcal{U}\{0, -1, 1\} \) and \( Y = 1_{X \neq 0} \) | {
"input": [
{
"role": "user",
"content": "Find discrete random variables \\( Y \\) and \\( X \\) such that \\( E(X \\mid Y) = E(X) \\) and \\( E(Y \\mid X) \\neq E(Y) \\).\n\nMake sure to use \\boxed{} for your answer."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 8d2cacbf-3e49-46a9-98ea-c01517f6d5d3 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 394d1b31-f988-4228-b024-6b4fd3cb7389 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 13522,
"prefix": "",
"suffix": "\n\nPlease enclose your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 5529bc3b-f040-4e62-af90-5d74d93e8b7e | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 1363,
"prefix": "Find the solution to this math problem. Put your answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | d76d16f4-e056-4321-8c8d-607c9d3764c8 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 9308,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \boxed{}.
Define a relation on the set {1, 2, 3} that is not reflexive, symmetric, but not transitive. | \{(1, 2), (2, 1), (2, 3), (3, 2)\} | {
"input": [
{
"role": "user",
"content": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\nDefine a relation on the set {1, 2, 3} that is not reflexive, symmetric, but not transitive."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1a9ba5a3-b8ff-4a4c-bd1e-7e36999edad2 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | a940ac16-ba3c-4898-a70d-3db6c579bc1d | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 3521,
"prefix": "",
"suffix": "\n\nRemember to put your final answer inside \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | cd2d4a05-0556-46f7-88bf-90dd91a58fa6 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 11088,
"prefix": "",
"suffix": "\n\nRemember to put your final answer inside \\boxed{}."
} | ||
For positive integers \( n \) and \( k \) with \( n \geq k \), define
\[
a(n, k) = \sum_{j=0}^{k-1} \binom{n}{j} 3^j.
\]
Let
\[
L=\lim_{n \to \infty} \frac{1}{4^n} \sum_{k=1}^n \frac{a(n, k)}{k}.
\]
Choose the correct option to
\[
\lim_{n \to \infty} n \left(4^n L - \sum_{k=1}^n \frac{a(n, k)}{k} \right).
\]
A. ... | B | {
"input": [
{
"role": "user",
"content": "For positive integers \\( n \\) and \\( k \\) with \\( n \\geq k \\), define\n\n\\[\na(n, k) = \\sum_{j=0}^{k-1} \\binom{n}{j} 3^j.\n\\]\n\nLet\n\n\\[\nL=\\lim_{n \\to \\infty} \\frac{1}{4^n} \\sum_{k=1}^n \\frac{a(n, k)}{k}.\n\\]\n\nChoose the correct option... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | e1261a19-332b-410f-9170-3eb74920841d | null |
Your job is to solve the following math problem. Write only the answer in \boxed{}.
Find a particular solution to the PDE $u_{t} - u_{x} = -x$. | \( \frac{x^2}{2} \) | {
"input": [
{
"role": "user",
"content": "Your job is to solve the following math problem. Write only the answer in \\boxed{}.\nFind a particular solution to the PDE $u_{t} - u_{x} = -x$."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | ee680230-88b1-48cf-b9b8-d58797e6a5e9 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 7a87f74d-4092-44e1-9215-bcf7467d0236 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 93566,
"prefix": "Your goal is to solve the given math problem. Place your final answer in \\boxed{}.\n",
"suffix": ""
} | ||
Given the equation \( x = \frac{n ( n + 1 )}{2} \), solve for \( n \) in terms of \( x \).
Make sure to use \boxed{} for your answer. | \( n = \frac{1}{2}(-1 + \sqrt{1 + 8x}) \) or \( n = \frac{1}{2}(-1 - \sqrt{1 + 8x}) \) | {
"input": [
{
"role": "user",
"content": "Given the equation \\( x = \\frac{n ( n + 1 )}{2} \\), solve for \\( n \\) in terms of \\( x \\).\n\nMake sure to use \\boxed{} for your answer."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | bedc87e0-ee67-4914-8b25-d671037b17c1 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 2b326cb5-dc19-41f3-88fa-91b233f36740 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 4861,
"prefix": "",
"suffix": "\n\nPlease enclose your answer in \\boxed{}."
} | ||
Let \( N \) be a positive integer. Two players play a game where the first player writes a list of positive integers not greater than 25, such that their sum is at least 200. The second player wins if they can select some of these numbers so that their sum \( S \) satisfies \( 200-N \le S \le 200+N \). What is the smal... | 11 | {
"input": [
{
"role": "user",
"content": "Let \\( N \\) be a positive integer. Two players play a game where the first player writes a list of positive integers not greater than 25, such that their sum is at least 200. The second player wins if they can select some of these numbers so that their sum ... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | af3a267e-f559-4791-93ce-f05f04e0dbf5 | null |
Find two sequences $(a_n)_n$, $(b_n)_n \subset \mathbb{R}$ such that:
\[
\lim_{n\to\infty}a_n=\infty, \quad \lim_{n\to\infty}b_n=-\infty, \quad \text{and} \quad \lim_{n\to\infty}(a_n+b_n)=c
\]
Give the answer in \boxed{} format. | \(a_n = n + c\) and \(b_n = -n\) | {
"input": [
{
"role": "user",
"content": "Find two sequences $(a_n)_n$, $(b_n)_n \\subset \\mathbb{R}$ such that:\n\\[\n\\lim_{n\\to\\infty}a_n=\\infty, \\quad \\lim_{n\\to\\infty}b_n=-\\infty, \\quad \\text{and} \\quad \\lim_{n\\to\\infty}(a_n+b_n)=c\n\\]\n\nGive the answer in \\boxed{} format."
... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 39cc5311-c08e-4683-844c-56c79ab1ecf9 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1aea44cc-a70b-44cd-ad67-763cac06b9a6 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 17699,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 0a081987-cdbe-4cfb-a4e4-f1b971d9dc61 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 11294,
"prefix": "",
"suffix": " \n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 6441c578-b4ba-4dec-a918-5b00fd6a8f66 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12633,
"prefix": "",
"suffix": "\n\nRemember to put your final answer inside \\boxed{}."
} | ||
Solve this math problem. Your answer should be placed inside \boxed{}.
Find
\[
\int_0^\infty \left(3 - \sqrt{8} \cos(u \ln2)\right) \left| \zeta \left(\frac{1}{2} + iu\right)\right|^2 \frac{du}{u^2 + \frac{1}{4}},
\]
where \(\zeta\) denotes the Riemann zeta function. | \(\pi \ln 2.\) | {
"input": [
{
"role": "user",
"content": "Solve this math problem. Your answer should be placed inside \\boxed{}.\nFind\n\\[\n\\int_0^\\infty \\left(3 - \\sqrt{8} \\cos(u \\ln2)\\right) \\left| \\zeta \\left(\\frac{1}{2} + iu\\right)\\right|^2 \\frac{du}{u^2 + \\frac{1}{4}}, \n\\]\nwhere \\(\\zeta\\)... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 6c72bea2-72b2-428c-9f3d-31bf20f9a699 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 7caa06ed-c6df-4e91-b98c-c8766872bd7f | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 7412,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
Your task is to find the solution to this math problem. Make sure your answer is inside \boxed{}.
Let \(\Lambda=\mathbb Z_2[[T]]\) and for \(n\ge1\) put
\[
\nu_n(T)=\frac{(1+T)^{2^n}-1}{T}\in\Lambda.
\]
Fix \(C_0,C_1\in\mathbb Z_2\) with \(C_0\equiv 2\pmod4\) and \(C_1\equiv0\pmod4\), and define \(P(T)=T^2+C_1T+C_0\). ... | \(2^{3n+2}\) | {
"input": [
{
"role": "user",
"content": "Your task is to find the solution to this math problem. Make sure your answer is inside \\boxed{}.\nLet \\(\\Lambda=\\mathbb Z_2[[T]]\\) and for \\(n\\ge1\\) put\n\\[\n\\nu_n(T)=\\frac{(1+T)^{2^n}-1}{T}\\in\\Lambda.\n\\]\nFix \\(C_0,C_1\\in\\mathbb Z_2\\) wit... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1adc61b9-e467-4373-8d54-e0dfeeffe4b9 | null |
Solve the equation $\cot x-2\sin 2x=1.$ | $x_1=\frac{3\pi }{4}+k\pi,\ x_2=\arctan\left(\sqrt 2-1\right)+k\pi $, $x_3=-\arctan\left(1+\sqrt 2\right)+k\pi $. | {
"input": [
{
"role": "user",
"content": "Solve the equation $\\cot x-2\\sin 2x=1.$"
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 78dbdd1d-e6ff-49db-85a9-25afa641a517 | null |
Find discrete random variables \( Y \) and \( X \) such that \( E(X \mid Y) = E(X) \) and \( E(Y \mid X) \neq E(Y) \).
Make sure to use \boxed{} for your answer. | \( X \sim \mathcal{U}\{0, -1, 1\} \) and \( Y = 1_{X \neq 0} \) | {
"input": [
{
"role": "user",
"content": "Find discrete random variables \\( Y \\) and \\( X \\) such that \\( E(X \\mid Y) = E(X) \\) and \\( E(Y \\mid X) \\neq E(Y) \\).\n\nMake sure to use \\boxed{} for your answer."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | aaa9c32b-717d-4ef5-aaae-253b393042fe | null |
Please solve this problem. Put your answer in \boxed{}.
Let \(R\) be a commutative ring. The extended zero-divisor graph
\(\widetilde{\Gamma}(R)\) is defined as a simple undirected graph whose vertex set is
\(Z(R)^{*}\), the set of all nonzero zero--divisors of \(R\). Two distinct vertices
\(u, v \in Z(R)^{*}\) are a... | \(9\) | {
"input": [
{
"role": "user",
"content": "Please solve this problem. Put your answer in \\boxed{}.\nLet \\(R\\) be a commutative ring. The extended zero-divisor graph\n\\(\\widetilde{\\Gamma}(R)\\) is defined as a simple undirected graph whose vertex set is \n\\(Z(R)^{*}\\), the set of all nonzero ze... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1d4a4212-fede-4ec8-b18d-0233016f584c | null |
Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \boxed{}.
Simplify the boolean expression $ (D \land (A \lor (\lnot C \land B))) \lor (C \land (A \lor \lnot B)) $. | $(D\vee C) \wedge (A \vee \neg B\vee \neg C)\wedge (B\vee C\vee A)$ | {
"input": [
{
"role": "user",
"content": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\nSimplify the boolean expression $ (D \\land (A \\lor (\\lnot C \\land B))) \\lor (C \\land (A \\lor \\lnot B)) $."
}
],
"temperature": 1,
"top... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 95ae74e5-c62b-462f-9db6-1d41998ad570 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 22eac4ee-ba6e-4c45-9243-253d089ff8b8 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 8680,
"prefix": "Solve the math problem below. Your final answer should be inside \\boxed{}.\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1dc4b8a9-99b5-4c4e-a687-ae0f6296e057 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12534,
"prefix": "Please solve this math problem. Put your final answer inside \\boxed{}.\n\n",
"suffix": ""
} | ||
Let \(G\) be a finite simple graph. A set \(S\subseteq V(G)\) is called an indeque set if the induced subgraph \(G[S]\) is a disjoint union of cliques. The indeque number of \(G\) is the maximum of \(|S|\) over all indeque sets \(S\subseteq V(G)\); denote this maximum by \(\omega_{\alpha}(G)\).
Let \(\mathcal{G}\) be ... | \[\dfrac{1}{2}\] | {
"input": [
{
"role": "user",
"content": "Let \\(G\\) be a finite simple graph. A set \\(S\\subseteq V(G)\\) is called an indeque set if the induced subgraph \\(G[S]\\) is a disjoint union of cliques. The indeque number of \\(G\\) is the maximum of \\(|S|\\) over all indeque sets \\(S\\subseteq V(G)\... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | bcfb37c0-9efd-4e12-8ffa-e405d3980bb6 | null |
Determine all $M$ such that for $n \geq 2$, $n^n \equiv 1 \pmod{M} \implies n \equiv 1 \pmod{M}$.
Make sure to use \boxed{} for your answer. | \( M \) is good if and only if every prime divisor of \( \phi(M) \) is also a divisor of \( M \). | {
"input": [
{
"role": "user",
"content": "Determine all $M$ such that for $n \\geq 2$, $n^n \\equiv 1 \\pmod{M} \\implies n \\equiv 1 \\pmod{M}$.\n\nMake sure to use \\boxed{} for your answer."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | ef138a43-0bbf-46de-8c22-b6c93e29c0a9 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | a64f588c-e802-407e-8e26-ad6b6daea5a6 | {
"mode": "canonical",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 6080,
"lead": "Please solve this math problem. Put your final answer inside \\boxed{}.\n\n",
"trail": ""
} | ||
Please solve the following math problem. Put your final answer inside \boxed{}.
Consider the real integral
\[
I(x) = \int_{0}^{1} e^{-4x t^{2}} \cos\!\bigl(5x t - x t^{3}\bigr)\, dt,
\]
as \(x \to \infty\). Choose the best suitable asymptotic approximation.
CHOICES:\
\[(A)\quad
I(x) \sim \tfrac{1}{4}\sqrt{\tfrac{\pi}{... | D | {
"input": [
{
"role": "user",
"content": "Please solve the following math problem. Put your final answer inside \\boxed{}.\nConsider the real integral\n\\[\nI(x) = \\int_{0}^{1} e^{-4x t^{2}} \\cos\\!\\bigl(5x t - x t^{3}\\bigr)\\, dt,\n\\]\nas \\(x \\to \\infty\\). Choose the best suitable asymptoti... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | f67d2f31-eae1-4837-b5f9-14909566ee9f | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 0e6fe1dd-5461-41b1-adee-b9404d34b74a | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 8961,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | f967edf5-a5d7-4365-bc3e-092b4d491394 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 14416,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | dccff835-99f7-4e6c-8a85-5b2e2cfe8f48 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 84035,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
Your job is to solve the following math problem. Write only the answer in \boxed{}.
Find metric spaces \(X\) and \(Y\), a continuous function \(f: X \rightarrow Y\), and an open set \(V \subset Y\) such that \(f(f^{-1}(V)) \neq V\). | \(X = \mathbb{R}\), \(Y = \mathbb{R}\), \(f(x) = 0\), \(V = (1, 2)\) | {
"input": [
{
"role": "user",
"content": "Your job is to solve the following math problem. Write only the answer in \\boxed{}.\nFind metric spaces \\(X\\) and \\(Y\\), a continuous function \\(f: X \\rightarrow Y\\), and an open set \\(V \\subset Y\\) such that \\(f(f^{-1}(V)) \\neq V\\)."
}
],... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 8c461a9a-354a-4e2e-b4db-2d80a3dab97e | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 9871fd6c-738d-4547-88bb-3a68a7bbb62c | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 1715,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | ea0938cf-f016-4860-935a-db7afd97f5c0 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 24875,
"prefix": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\n",
"suffix": ""
} | ||
You will be given a math problem. Think carefully and put the answer in \boxed{}.
Find examples of pairs of short exact sequences (s.e.s) of abelian groups:
\[ 0 \rightarrow M \rightarrow M' \rightarrow M'' \rightarrow 0 \]
and
\[ 0 \rightarrow N \rightarrow N' \rightarrow N'' \rightarrow 0 \]
such that:
i) \( M \cong ... | \( 0 \rightarrow \Bbb Z \xrightarrow{\times p} \Bbb Z \rightarrow \Bbb Z/p\Bbb Z \rightarrow 0 \) and \( 0 \rightarrow \Bbb Z \xrightarrow{\times q} \Bbb Z \rightarrow \Bbb Z/q\Bbb Z \rightarrow 0 \) where \( p \neq q \) are prime numbers. | {
"input": [
{
"role": "user",
"content": "You will be given a math problem. Think carefully and put the answer in \\boxed{}.\nFind examples of pairs of short exact sequences (s.e.s) of abelian groups:\n\\[ 0 \\rightarrow M \\rightarrow M' \\rightarrow M'' \\rightarrow 0 \\]\nand\n\\[ 0 \\rightarrow N... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 2a4200bf-d304-4551-a426-8eaf9cf08674 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 763f6104-8dbc-43a9-957f-0ce58f7f3e18 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 6327,
"prefix": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
What group is isomorphic to $(\mathbb{C}^\star / \mathbb{R}^\star, \cdot)$?
Give the answer in \boxed{} format. | \((\mathbb{R}/\pi \mathbb{Z} , +)\) | {
"input": [
{
"role": "user",
"content": "What group is isomorphic to $(\\mathbb{C}^\\star / \\mathbb{R}^\\star, \\cdot)$?\n\nGive the answer in \\boxed{} format."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | bd6d2f15-5005-42b2-9403-375a7e1b1df0 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | acd8b618-f73d-444a-8b0e-90ba855feeb8 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12540,
"prefix": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | cd7ca262-9580-4cdd-9a66-a95886e1dcd4 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 6355,
"prefix": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
Read the following math problem carefully and solve it. Answer with \boxed{}.
Evaluate the integral $\int_{0}^{1} \int_{0}^{1} \int_{0}^{1} \sqrt{x^2+y^2+z^2} \, dx \, dy \, dz$. | \(\text{arsinh}\frac{1}{\sqrt{2}} + \frac{\sqrt{3}}{4}-\frac{\pi}{24}\) | {
"input": [
{
"role": "user",
"content": "Read the following math problem carefully and solve it. Answer with \\boxed{}.\nEvaluate the integral $\\int_{0}^{1} \\int_{0}^{1} \\int_{0}^{1} \\sqrt{x^2+y^2+z^2} \\, dx \\, dy \\, dz$."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | c83676dc-8815-4564-8462-346070f26211 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 74af377c-f774-4136-bfc7-603060eeaa68 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 8961,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | f502cfb8-6d83-4b3e-9fe2-94e4531f3b38 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12277,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1f010438-61f7-45b8-b28b-36d8c7795aa2 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 14778,
"prefix": "",
"suffix": "\n\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 7557cd99-7e0e-4c33-b718-f2f246ac356e | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 11017,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
Parametrize the surface given by the equation \(\left(4-\sqrt{x^2+y^2}\right)^2 + z^2 = 1\).
Provide your answer within \boxed{}. | \((x,y,z) = \big((4-\cos\theta)\cos\phi, \ (4-\cos\theta)\sin\phi, \ \sin\theta\big)\) | {
"input": [
{
"role": "user",
"content": "Parametrize the surface given by the equation \\(\\left(4-\\sqrt{x^2+y^2}\\right)^2 + z^2 = 1\\).\n\nProvide your answer within \\boxed{}."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 4e2624e0-b924-4fa9-9c08-f50cbb8ea00b | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 8142d865-c14d-4417-b717-e289904c663b | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 25870,
"prefix": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\n",
"suffix": ""
} | ||
Carefully work through the math problem. Provide only the answer in \boxed{}.
Given the transformation \( T: \mathbb{R}_3[X] \rightarrow M_{2 \times 2}(\mathbb{R}) \) defined by \( T(ax^3 + bx^2 + cx + d) = \begin{bmatrix} a+d & b-2c \\ a+b-2c+d & 2c-b \end{bmatrix} \), find a basis of \( \text{Im}(T) \) consisting of ... | \(\left\{ \begin{bmatrix} 1 & 0 \\ 1 & 0 \end{bmatrix}, \begin{bmatrix} -\frac{1}{2} & 1 \\ \frac{1}{2} & -1 \end{bmatrix} \right\}\) | {
"input": [
{
"role": "user",
"content": "Carefully work through the math problem. Provide only the answer in \\boxed{}.\nGiven the transformation \\( T: \\mathbb{R}_3[X] \\rightarrow M_{2 \\times 2}(\\mathbb{R}) \\) defined by \\( T(ax^3 + bx^2 + cx + d) = \\begin{bmatrix} a+d & b-2c \\\\ a+b-2c+d &... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 78c59488-3544-4b54-ab25-a218585652f3 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 6147e989-c426-4c9a-a0ee-d59c762e2705 | {
"mode": "canonical",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 11686,
"lead": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"trail": ""
} | ||
Integrate the expression $\int\frac{x}{1+\sin x}\ \text dx$.
Report your final answer in \boxed{}. | \(-\frac{x\cos x}{1+\sin x}+\ln |1+\sin x|+C\) | {
"input": [
{
"role": "user",
"content": "Integrate the expression $\\int\\frac{x}{1+\\sin x}\\ \\text dx$.\n\nReport your final answer in \\boxed{}."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 2c3ac430-c0ec-4f23-a25f-fbe925a1e156 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 3c718355-fba7-4938-a89a-304e679003b7 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 453,
"prefix": "Find the solution to this math problem. Put your answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 7d53930a-e4aa-4c76-9abd-c35d109a70d7 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12473,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 4a5de1e1-5d1f-4e4e-bdd2-c04b8f8b561b | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 17877,
"prefix": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 66f47dad-3fa0-41bf-bdf6-35d1706306ff | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 24875,
"prefix": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | e2fdc6dd-6c09-4235-97e7-608eddcdb785 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12733,
"prefix": "Please solve the following math problem. Your final answer should be inside \\boxed{}.\n\n",
"suffix": ""
} | ||
Find the indefinite integral of \( e^{|x|} \).
Don't forget to put your answer in \boxed{}. | \( \mathrm{sgn}(x)(e^{|x|} - 1) + C \) | {
"input": [
{
"role": "user",
"content": "Find the indefinite integral of \\( e^{|x|} \\).\n\nDon't forget to put your answer in \\boxed{}."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | bbad2a2e-9a48-494a-b304-17ad1ee86e69 | null |
Solve this math problem. Your answer should be placed inside \boxed{}.
Let \( \{F_n\}_{n \ge 0} \) be the Fibonacci sequence defined by \( F_0 = 0, F_1 = 1 \), and \( F_{n+2} = F_{n+1} + F_n \). Given a real constant \( c > 0 \), evaluate the following limit:
\( L = \lim_{n \to \infty} \sqrt{c F_{2}^2 + \sqrt{c F_{4}^... | \(\frac{3+\sqrt{5+4c}}{2}\) | {
"input": [
{
"role": "user",
"content": "Solve this math problem. Your answer should be placed inside \\boxed{}.\nLet \\( \\{F_n\\}_{n \\ge 0} \\) be the Fibonacci sequence defined by \\( F_0 = 0, F_1 = 1 \\), and \\( F_{n+2} = F_{n+1} + F_n \\). Given a real constant \\( c > 0 \\), evaluate the fol... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | e51d58b9-dd4f-496f-b0b3-73d5cfb630d1 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 9a7a40ce-4302-43ea-9935-36f340923a02 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 24404,
"prefix": "Your task is to find the solution to this math problem. Make sure your answer is inside \\boxed{}.\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 2a0a5981-b594-4a7c-9947-9d9f3d2dfc74 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 8558,
"prefix": "Solve the math problem below. Your answer should be placed inside \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 525aa3b4-9525-4850-943a-302f0e520554 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 7760,
"prefix": "Find the solution to this math problem. Put your answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | d1e4a347-8437-4a0e-a367-ce4cf88eb9ac | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 13403,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | ab13af08-e95b-4a42-802d-0aa4d71fa244 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 10080,
"prefix": "Solve this problem. Enclose your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 7ed82b57-217a-4921-be01-25b183e20f16 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 2048,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \boxed{}.
Let \( f(u) = u^3 - \lceil 15u^2 \rceil + \lceil 12u \rceil - 68 \).
For each integer \( k \in \{0,1,\dots,8\} \), define
\[
f_k(u) = \left( \frac{u}{2^k} \right)^3 - \left\lceil 15 \left( \frac{u}{2^k} \right)^2 \r... | \(117.132\) | {
"input": [
{
"role": "user",
"content": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\nLet \\( f(u) = u^3 - \\lceil 15u^2 \\rceil + \\lceil 12u \\rceil - 68 \\).\nFor each integer \\( k \\in \\{0,1,\\dots,8\\} \\), define\n\\[\nf_k(u) = \\... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 590877b6-1008-4b9e-b184-ba97a7d8e163 | null |
Below is a math problem for you to solve. Give the final answer inside \boxed{}.
Find an example of a complex function \( f \) on \( \mathbb{R} \) such that \( f \in L^1(\mathbb{R}) \) but \( f \notin L^{\infty}(\mathbb{R}) \). | \(\frac{1}{\sqrt{x}}\mathbf{1}_{(0,1)}\) | {
"input": [
{
"role": "user",
"content": "Below is a math problem for you to solve. Give the final answer inside \\boxed{}.\nFind an example of a complex function \\( f \\) on \\( \\mathbb{R} \\) such that \\( f \\in L^1(\\mathbb{R}) \\) but \\( f \\notin L^{\\infty}(\\mathbb{R}) \\)."
}
],
"... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 9fff67d7-623c-405b-a5ed-185c42539165 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 422bad05-00ad-4bff-b688-7e53a9c9a286 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12392,
"prefix": "",
"suffix": "\n\nYour final answer should be in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 61c005b6-df14-4919-8797-a1ece172f143 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 7503,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | b4e84f9a-0f81-4e92-b4a6-2eac2eb1afd2 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 2816,
"prefix": "Solve the math problem below. Your answer should be placed inside \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 4370d5fa-8bac-4d9b-8272-d1ec783e952b | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12733,
"prefix": "Please solve the following math problem. Your final answer should be inside \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 23b86472-139c-4967-93a2-63d0947578bb | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 15128,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 52bf2f02-9f7f-4451-8273-4076554cd5f8 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 5399,
"prefix": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | c26d2326-f864-4be2-b389-7082880fcbe0 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 5328,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | f2329dd3-f7c1-41a7-bc0e-baf0b90afd9b | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 13803,
"prefix": "Solve the given math problem. Make sure your answer is inside \\boxed{}.\n\n",
"suffix": ""
} | ||
You need to solve a math problem. Express the answer inside \boxed{}.
Find sequences \(X_n\) and \(Y_n\) such that \(Y_n \neq 0\) for all \(n \in \mathbb{N}\), \(\lim(X_n - Y_n) = \infty\), and \(\lim \frac{X_n}{Y_n} = 1\). | \(X_n = n^2 + n\), \(Y_n = n^2\) | {
"input": [
{
"role": "user",
"content": "You need to solve a math problem. Express the answer inside \\boxed{}.\nFind sequences \\(X_n\\) and \\(Y_n\\) such that \\(Y_n \\neq 0\\) for all \\(n \\in \\mathbb{N}\\), \\(\\lim(X_n - Y_n) = \\infty\\), and \\(\\lim \\frac{X_n}{Y_n} = 1\\)."
}
],
... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | dbc83fad-fa66-4a6c-9b26-be61aa94b75a | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | a2126db2-a616-4c92-8064-3b4a3fdef321 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 96147,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 63a60cbd-79b5-4a5a-9f2c-f49b3c7ccc2e | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 94862,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
Solve this math problem. Your answer should be placed inside \boxed{}.
Find an example of a function \( f: A \to B \) and a subset \( X \subset A \) such that \( f^{-1}(f(X)) \ne X \). | \( f(x) = x^2 \) with \( X = \{1\} \) | {
"input": [
{
"role": "user",
"content": "Solve this math problem. Your answer should be placed inside \\boxed{}.\nFind an example of a function \\( f: A \\to B \\) and a subset \\( X \\subset A \\) such that \\( f^{-1}(f(X)) \\ne X \\)."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | a41ec1d9-deba-4e40-a2c9-5977a5e2bb29 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 68fcb03a-866a-4a0a-83b4-4f9922ffeb3d | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 12473,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} | ||
Express the area bounded by $y=e^x$, $x=0$, and $y=4$ using an integral in terms of $dy$.
Present your answer inside \boxed{}. | \(\int_1^4 \ln(y) \, dy = 4\ln(4) - 3\) | {
"input": [
{
"role": "user",
"content": "Express the area bounded by $y=e^x$, $x=0$, and $y=4$ using an integral in terms of $dy$.\n\nPresent your answer inside \\boxed{}."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | d9d54a62-d02b-427b-818e-eb3de4b1a94c | null |
Your goal is to solve the given math problem. Place your final answer in \boxed{}.
Compute $\sum_{k=0}^{+\infty}\frac{(-1)^k}{(5k+1)^2}$. | \(\frac{1}{100} \left [ \psi^{(1)} \left ( \frac{1}{10} \right ) - \psi^{(1)} \left ( \frac{3}{5} \right ) \right ]\) | {
"input": [
{
"role": "user",
"content": "Your goal is to solve the given math problem. Place your final answer in \\boxed{}.\nCompute $\\sum_{k=0}^{+\\infty}\\frac{(-1)^k}{(5k+1)^2}$."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 1384459b-54ad-401f-8dad-0e8f62518100 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | a8a56639-ffe1-4c02-bfd7-b6baf262cec2 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 93729,
"prefix": "Solve the math problem below. Your final answer should be inside \\boxed{}.\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 81afe153-6ff2-42e5-9ea3-cd3bec733912 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 324,
"prefix": "Please solve this math problem. Put your final answer inside \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 9f15a624-ac23-4450-a597-02e185d3baf3 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 14160,
"prefix": "Solve the following math problem. Make sure to put the answer (and only answer) inside \\boxed{}.\n\n",
"suffix": ""
} | ||
Read the following math problem carefully and solve it. Answer with \boxed{}.
Determine the first and second derivatives of \( y \) given the equation \( x^5 + y^5 - 15 = 0 \). | \(\frac{dy}{dx} = -x^4y^{-4}\) and \(\frac{d^2y}{dx^2} = -4x^3y^{-4} - 4x^8y^{-9}\) | {
"input": [
{
"role": "user",
"content": "Read the following math problem carefully and solve it. Answer with \\boxed{}.\nDetermine the first and second derivatives of \\( y \\) given the equation \\( x^5 + y^5 - 15 = 0 \\)."
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | effbbf60-6d2e-48fd-85e8-bb61b70867ac | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | b028bd11-97b9-49da-a648-5e66cad7838b | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 13515,
"prefix": "Please solve the following math problem. Your final answer should be inside \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 332766f3-d4d4-4c2e-a209-2ad5d6a29573 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 3826,
"prefix": "",
"suffix": "\n\nDon't forget to put your answer in \\boxed{}."
} | ||
Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \boxed{}.
Evaluate the integral \( I = \int \left(\frac{3x+1}{1-x}\right)^{1/2} \, dx \) for \( 0 < x < 1 \). | \(\frac{4}{\sqrt{3}}\arctan \sqrt{\frac{3 x+1}{3-3 x}}+\sqrt{\frac{3 x+1}{1-x}}(x-1) + C\) | {
"input": [
{
"role": "user",
"content": "Your task is to solve a math problem. Make sure to put the answer (and only the answer) inside \\boxed{}.\nEvaluate the integral \\( I = \\int \\left(\\frac{3x+1}{1-x}\\right)^{1/2} \\, dx \\) for \\( 0 < x < 1 \\)."
}
],
"temperature": 1,
"top_p": ... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 632097c2-436c-4ad5-bfa9-842d72c132fa | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | c8b8d800-5d15-418f-bc4a-8e6609eae4d8 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 93391,
"prefix": "",
"suffix": "\n\nPlease enclose your answer in \\boxed{}."
} | ||
Provide a counterexample to the statement: If \( \lim_{x \to \infty} \left(\frac{f(x)}{g(x)}\right) = \infty \), then \( \lim_{x \to \infty} (f(x) - g(x)) = \infty \).
Provide your answer within \boxed{}. | \( f(x) = \frac{1}{x} \) and \( g(x) = \frac{1}{x^2} \) | {
"input": [
{
"role": "user",
"content": "Provide a counterexample to the statement: If \\( \\lim_{x \\to \\infty} \\left(\\frac{f(x)}{g(x)}\\right) = \\infty \\), then \\( \\lim_{x \\to \\infty} (f(x) - g(x)) = \\infty \\).\n\nProvide your answer within \\boxed{}."
}
],
"temperature": 1,
"... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 976a0d24-554c-4cfc-8704-bea6b1a68b72 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 0a2a3950-1e21-43cf-a47f-749b61540979 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 4823,
"prefix": "",
"suffix": "\n\nPlease enclose your answer in \\boxed{}."
} | ||
Let \(\alpha\in\mathbb{R}\) satisfy \(\alpha>0\).
Determine the exact value of
\[\int_{0}^{\infty}\frac{\log(1+e^{-2\pi\alpha y})}{1+y^{2}}dy,\]
where \(\Gamma(z)\) denotes the Euler gamma function.
Make sure to use \boxed{} for your answer. | \[-\pi\left(\alpha+\log\left(\dfrac{\Gamma\left(\alpha+\frac{1}{2}\right)}{\alpha^{\alpha}\sqrt{2\pi}}\right)\right)\] | {
"input": [
{
"role": "user",
"content": "Let \\(\\alpha\\in\\mathbb{R}\\) satisfy \\(\\alpha>0\\).\nDetermine the exact value of\n\\[\\int_{0}^{\\infty}\\frac{\\log(1+e^{-2\\pi\\alpha y})}{1+y^{2}}dy,\\]\nwhere \\(\\Gamma(z)\\) denotes the Euler gamma function.\n\nMake sure to use \\boxed{} for your... | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 7dfb5f12-eb44-41e5-b8c0-41acb7a01a34 | null |
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 2bc63166-dd5d-49e3-b5df-7cd486dc1815 | {
"mode": "exact",
"dataset": "Skywork/Skywork-OR1-RL-Data",
"split": "math",
"row": 93089,
"prefix": "Solve this math problem. Your answer should be placed inside \\boxed{}.\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | fcc987e9-6d5b-44bf-914d-133eeaee0717 | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 2249,
"prefix": "Work through this math problem and place your final answer in \\boxed{}.\n\n",
"suffix": ""
} | ||
{
"input": [
{
"role": "user",
"content": ""
}
],
"temperature": 1,
"top_p": 1
} | math_with_judge | {
"type": "responses_api_agents",
"name": "math_with_judge_simple_agent"
} | 4f002b98-519f-43de-a2b0-d911ef9284ff | {
"mode": "exact",
"dataset": "BytedTsinghua-SIA/DAPO-Math-17k",
"split": "train",
"row": 8490,
"prefix": "",
"suffix": "\n\nMake sure to use \\boxed{} for your answer."
} |
End of preview. Expand in Data Studio
nvidia/Nemotron-RL-Math-v2（複製）
データの内容
AoPS・StackExchange・Skywork-OR1・DAPO-Math-17k などから集めた数学問題を、RL 用に精選した小さなデータセット。1 件は question と検証済みの expected_answer、検証器の種類（verifier_type）を持ち、すべての問題と答えは GPT-5.2 で正しさを検証した。DAPO と Skywork の一部の行はマスクされたプレースホルダーを含み、同梱の fill_placeholders.py で元データから復元できる。
データの概要
| 項目 | 値 |
|---|---|
| 行数 | 7,732（1 構成・1 分割の合計） |
| 列数 | 7 |
| 容量 | 6.89 MB（ファイル 4 本） |
| ファイルの形式 | jsonl 1、py 1 |
| 言語 | en |
| 公開 | public |
構成と分割
| 構成（config） | 分割（split）ごとの行数 | 列数 |
|---|---|---|
default |
train 7,732 |
7 |
列（構成 default・分割 train）
| 列 | 型 | 先頭の行の値 |
|---|---|---|
question |
string |
Your task is to find the solution to this math p… |
expected_answer |
string |
\[ \frac{2\sqrt{3}\pi^{3}}{27} \] |
responses_create_params |
json |
{input, temperature, top_p} |
verifier_type |
string |
math_with_judge |
agent_ref |
struct{type: string, name: string} |
{type, name} |
uuid |
string |
c726869b-7ff1-4bb1-befd-7ec5fc264317 |
_hf_question_placeholder |
json |
null |
行数と列は HF のデータセットビューアの集計（元のデータセットの現在の版で数えたもの）。全データセットの一覧は HYUKI5/dataset-catalog にある。
複製について
nvidia/Nemotron-RL-Math-v2 をリビジョン 804418c1d4eceeaa453d895954887c0975e79121 の時点でそのまま複製したもの。中身は変えていない。判断モデル Laya（convaiinnovations/laya）の微調整に使う候補として、調査メモ（Laya 学習用データセット調査）に載せたデータを集めている。
出典
- 元のデータセット: https://huggingface.co/datasets/nvidia/Nemotron-RL-Math-v2
- 複製したリビジョン:
804418c1d4eceeaa453d895954887c0975e79121（2026-06-04 04:54:18+00:00） - 元のライセンス表記:
['cc-by-4.0']
論文
- 元のカードに論文へのリンクは見つからなかった
アノテーションの方法
データセットの作成日:
作成日: 05/01/2026 最終更新日: 05/01/2026
データ収集の方法
- ハイブリッド: 人手、合成、自動、ベンダーからの購入
ラベル付けの方法
- ハイブリッド: 人手、合成、自動
微調整に使うときの注意
- 調査メモの台帳での区分: A（許諾型のライセンスだけで、疑義の注記が無い）。区分は記載の文言で機械的に付けたもので、法的な判定ではない。学習に入れる前に元のカードとライセンスの原文で確かめる。
- Laya の入力は 2,048 token まで（ModernBERT-large / mmBERT）。長い本文は先頭から黙って切られるので、切れる行は事前に除くか、要約・切り出しをしてから入れる。
- 分割は記事・文書単位で行い、同じ本文から作った別の問いを学習側と較正側に分けない。温度と閾値は学習に使っていない分割で別々に当てる。
調査メモの記述
| メモ | 節 | ライセンス（記載） | 確認 | 注記 |
|---|---|---|---|---|
nvidia_nemotron.md |
付録. 取得した nvidia 組織のデータセット全件の簡易一覧 (L316) | cc-by-4.0 | 確認済 | 確認印なし(各ファイルの凡例により確認済扱い) ／ 原文注記: × 数学。pass_rate 等は難易度ラベルだが金融と無関係 |
元のカード（日本語訳）
以下は元のデータセットのカードの本文を日本語に訳したもの（機械翻訳）。訳に疑問があるときは、末尾の原文を確かめる。
Nemotron-RL-Math-v2
データセットの説明:
Nemotron-RL-Math-v2 は、強化学習のために選ばれた、数学の問題を精選した小さなセットである。このデータセットは、問題に検証可能な答えや、検証可能な報酬からの強化学習（RLVR）に適したその他の検証シグナルがある、RL の学習ワークフロー向けに設計されている。
問題は次から集めた: AoPS、Nemotron-SFT-Math-v4 の SFT セットとは別に取り置いた StackExchange 由来の数学データ、Skywork/Skywork-OR1-RL-Data、BytedTsinghua-SIA/DAPO-Math-17k、およびベンダーから購入したデータ。
マスクされた DAPO/Skywork のプレースホルダを含む行は、このリポジトリに同梱されている付属の fill_placeholders.py スクリプトで復元できる。マスクされた行をローカルで復元するには、公開された JSONL ファイルを入力ディレクトリに置き、次を実行する:
mkdir -p masked restored
cp data/train.jsonl masked/train.jsonl
python -m pip install "datasets>=2.19.0"
python fill_placeholders.py --input-dir masked --output-dir restored
このスクリプトは BytedTsinghua-SIA/DAPO-Math-17k と Skywork/Skywork-OR1-RL-Data から元の行をダウンロードし、question と expected_answer を埋め、responses_create_params.input[0].content を更新して、復元した JSONL ファイルを出力ディレクトリに書き出す。
すべての問題と期待される答えは、GPT-5.2 モデルを使って正しさを検証している。
このデータセットは商用・非商用のどちらにも使える。
データセットの所有者:
NVIDIA Corporation
データセットの作成日:
作成日: 05/01/2026 最終更新日: 05/01/2026
バージョン:
Nemotron-RL-Math-v2
以前のバージョン: https://huggingface.co/datasets/nvidia/Nemotron-RL-Super-Training-Blends : 精選された RL サブセットの以前のバージョンを含む
以前のバージョンとの関係: このデータセットは、以前に公開されたデータセットを直接置き換えるものである。
ライセンス/利用規約:
このデータセットは Creative Commons Attribution 4.0 International (CC BY 4.0) のもとでライセンスされている。追加情報: Apache 2.0 License、MIT License、BSD-3 License。
想定される用途:
このデータセットは次の用途を想定している:
- 検証可能な数学的推論タスクにおける LLM の強化学習。
- 答えの検証を伴う、精選された数学の問題を必要とする RLVR の実験。
- 教師あり微調整のデータセットと比べた、取り置いた数学の汎化の研究。
- 易しい問題から難しい問題へと並べたカリキュラム式の RL の学習セットの構築。
- 数学的推論システムの答えの検証と頑健性の評価。
データセットの特性
データセットの構成と生成
問題の出典
このデータセットは、次から精選した問題のサブセットを組み合わせたものである:
- AoPS 由来の数学の問題。
- Nemotron-SFT-Math-v4 の SFT セットから取り置いた StackExchange 由来の数学の問題。
- Skywork/Skywork-OR1-RL-Data: 検証可能な数学とコーディングの問題を含む公開の RL データセット。別段の指定がない限り、このデータセットでは数学の部分を使う。
- BytedTsinghua-SIA/DAPO-Math-17k: プロンプトと検証可能な答えを含む、公開の数学の RL データセット。
- ベンダーから購入したデータ。
精選とフィルタリング
問題は RL への適性に基づいて選ばれ、検証可能性、数学のトピックの網羅性、SFT の学習セットとの分離を重視している。すべての問題と期待される答えは、GPT-5.2 モデルを使って正しさを検証している。
データセットのフィールド
公開されたデータセットには次のフィールドが含まれる:
uuid: サンプルの一意の識別子。question: RL の学習に使う問題文。expected_answer: サンプルについて検証済みの目標の答え。responses_create_params: ユーザーのプロンプトを含む、Responses API 形式のリクエストパラメータ。agent_ref: 答えの確認に使うエージェントの設定。verifier_type: サンプルに使う検証器の種類。_hf_question_placeholder: 一部のレコードにある内部用のプレースホルダフィールド。
データ収集の方法
- ハイブリッド: 人手、合成、自動、ベンダーからの購入
ラベル付けの方法
- ハイブリッド: 人手、合成、自動
データセットの形式
- モダリティ: テキスト
- 形式: JSONL
- 構造: 問題のプロンプト、検証済みの答え、Responses API 形式のリクエストパラメータ、検証器の設定、該当する場合にマスクされた公開ソースの行を復元するためのプレースホルダのメタデータを含む JSONL のレコード。
データセットの規模
Subset Samples train 7,732
ディスクの合計サイズ: 6,873,775 bytes
参照:
- nvidia/Nemotron-RL-Super-Training-Blends
- Skywork/Skywork-OR1-RL-Data
- BytedTsinghua-SIA/DAPO-Math-17k
- nvidia/Nemotron-SFT-Math-v3
- NeMo Gym
- NeMo RL Training Recipe
倫理上の配慮:
NVIDIA は、信頼できる AI は共有された責任であると考えており、幅広い AI 応用の開発を可能にするための方針と慣行を定めている。開発者は、社内の開発チームと協力して、このデータセットが関連する業界と用途の要件を満たし、想定外の製品の誤用に対処するようにすべきである。 品質、リスク、セキュリティの脆弱性、または NVIDIA の AI に関する懸念は、こちら から報告されたい。
原文（英語）
Nemotron-RL-Math-v2
Dataset Description:
Nemotron-RL-Math-v2 is a small curated set of mathematical problems selected for reinforcement learning. The dataset is designed for RL training workflows where problems have verifiable answers or other validation signals suitable for Reinforcement Learning from Verifiable Rewards (RLVR).
Problems are sourced from AoPS, StackExchange-derived math data held out from the Nemotron-SFT-Math-v4 SFT set, Skywork/Skywork-OR1-RL-Data, BytedTsinghua-SIA/DAPO-Math-17k, and vendor-purchased data.
Rows containing masked DAPO/Skywork placeholders can be reconstructed with the companion fill_placeholders.py script included in this repository. To restore the masked rows locally, place the released JSONL file in an input directory and run:
mkdir -p masked restored
cp data/train.jsonl masked/train.jsonl
python -m pip install "datasets>=2.19.0"
python fill_placeholders.py --input-dir masked --output-dir restored
The script downloads the source rows from BytedTsinghua-SIA/DAPO-Math-17k and Skywork/Skywork-OR1-RL-Data, fills question and expected_answer, updates responses_create_params.input[0].content, and writes the restored JSONL files to the output directory.
All problems and expected answers are verified for correctness using GPT-5.2 model.
This dataset is ready for commercial or non-commercial uses.
Dataset Owner(s):
NVIDIA Corporation
Dataset Creation Date:
Created on: 05/01/2026 Last Modified on: 05/01/2026
Version:
Nemotron-RL-Math-v2
Previous Version(s): https://huggingface.co/datasets/nvidia/Nemotron-RL-Super-Training-Blends : Contains previous version of curated RL subsets
Relationship to Previous Version(s): This dataset is a direct replacement to previously released datasets.
License/Terms of Use:
This dataset is licensed under Creative Commons Attribution 4.0 International (CC BY 4.0). Additional Information: Apache 2.0 License; MIT License; BSD-3 License.
Intended Usage:
This dataset is intended for:
- Reinforcement learning of LLMs on verifiable mathematical reasoning tasks.
- RLVR experiments requiring curated math problems with answer validation.
- Studying held-out math generalization relative to supervised fine-tuning datasets.
- Building curriculum-style RL training sets from easier to harder math problems.
- Evaluating answer verification and robustness of mathematical reasoning systems.
Dataset Characterization
Dataset Composition and Generation
Problem Sources
The dataset combines a curated subset of problems from:
- AoPS-derived math problems.
- StackExchange-derived math problems held out from the Nemotron-SFT-Math-v4 SFT set.
- Skywork/Skywork-OR1-RL-Data: a public RL dataset containing verifiable math and coding questions; use the math portion for this dataset unless otherwise specified.
- BytedTsinghua-SIA/DAPO-Math-17k: a public math RL dataset with prompts and verifiable answers.
- Vendor-purchased data.
Curation and Filtering
Problems are selected for RL suitability, with emphasis on verifiability, coverage of mathematical topics, and separation from the SFT training set. All problems and expected answers are verified for correctness using GPT-5.2 model.
Dataset Fields
The released dataset contains the following fields:
uuid: Unique identifier for the sample.question: Problem statement used for RL training.expected_answer: Verified target answer for the sample.responses_create_params: Responses API-style request parameters containing the user prompt.agent_ref: Agent configuration used for answer checking.verifier_type: Verifier type used for the sample._hf_question_placeholder: Internal placeholder field present for some records.
Data Collection Method
- Hybrid: Human, Synthetic, Automated, Vendor-purchased
Labeling Method
- Hybrid: Human, Synthetic, Automated
Dataset Format
- Modality: Text
- Format: JSONL
- Structure: JSONL records with question prompts, verified answers, Responses API-style request parameters, verifier configuration, and placeholder metadata for reconstructing masked public-source rows where applicable.
Dataset Quantification
Subset Samples train 7,732
Total Disk Size: 6,873,775 bytes
Reference(s):
- nvidia/Nemotron-RL-Super-Training-Blends
- Skywork/Skywork-OR1-RL-Data
- BytedTsinghua-SIA/DAPO-Math-17k
- nvidia/Nemotron-SFT-Math-v3
- NeMo Gym
- NeMo RL Training Recipe
Ethical Considerations:
NVIDIA believes Trustworthy AI is a shared responsibility and we have established policies and practices to enable development for a wide array of AI applications. Developers should work with their internal developer teams to ensure this dataset meets requirements for the relevant industry and use case and addresses unforeseen product misuse. Please report quality, risk, security vulnerabilities or NVIDIA AI Concerns here.
- Downloads last month
- 56