Golden Goose: A Simple Trick to Synthesize Unlimited RLVR Tasks from Unverifiable Internet Text

Fuente: arXiv
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Main Authors: Lu, Ximing, Acuna, David, Jung, Jaehun, Hu, Jian, Zhang, Di, Diao, Shizhe, Zou, Yunheng, Zhang, Shaokun, Cui, Brandon, Liu, Mingjie, Kim, Hyunwoo, Ammanabrolu, Prithviraj, Kautz, Jan, Dong, Yi, Choi, Yejin
Format: Preprint
Published: 2026
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author Lu, Ximing
Acuna, David
Jung, Jaehun
Hu, Jian
Zhang, Di
Diao, Shizhe
Zou, Yunheng
Zhang, Shaokun
Cui, Brandon
Liu, Mingjie
Kim, Hyunwoo
Ammanabrolu, Prithviraj
Kautz, Jan
Dong, Yi
Choi, Yejin
author_facet Lu, Ximing
Acuna, David
Jung, Jaehun
Hu, Jian
Zhang, Di
Diao, Shizhe
Zou, Yunheng
Zhang, Shaokun
Cui, Brandon
Liu, Mingjie
Kim, Hyunwoo
Ammanabrolu, Prithviraj
Kautz, Jan
Dong, Yi
Choi, Yejin
contents Reinforcement Learning with Verifiable Rewards (RLVR) has become a cornerstone for unlocking complex reasoning in Large Language Models (LLMs). Yet, scaling up RL is bottlenecked by limited existing verifiable data, where improvements increasingly saturate over prolonged training. To overcome this, we propose Golden Goose, a simple trick to synthesize unlimited RLVR tasks from unverifiable internet text by constructing a multiple-choice question-answering version of the fill-in-the-middle task. Given a source text, we prompt an LLM to identify and mask key reasoning steps, then generate a set of diverse, plausible distractors. This enables us to leverage reasoning-rich unverifiable corpora typically excluded from prior RLVR data construction (e.g., science textbooks) to synthesize GooseReason-0.7M, a large-scale RLVR dataset with over 0.7 million tasks spanning mathematics, programming, and general scientific domains. Empirically, GooseReason effectively revives models saturated on existing RLVR data, yielding robust, sustained gains under continuous RL and achieving new state-of-the-art results for 1.5B and 4B-Instruct models across 15 diverse benchmarks. Finally, we deploy Golden Goose in a real-world setting, synthesizing RLVR tasks from raw FineWeb scrapes for the cybersecurity domain, where no prior RLVR data exists. Training Qwen3-4B-Instruct on the resulting data GooseReason-Cyber sets a new state-of-the-art in cybersecurity, surpassing a 7B domain-specialized model with extensive domain-specific pre-training and post-training. This highlights the potential of automatically scaling up RLVR data by exploiting abundant, reasoning-rich, unverifiable internet text.
format Preprint
id arxiv_https___arxiv_org_abs_2601_22975
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Golden Goose: A Simple Trick to Synthesize Unlimited RLVR Tasks from Unverifiable Internet Text
Lu, Ximing
Acuna, David
Jung, Jaehun
Hu, Jian
Zhang, Di
Diao, Shizhe
Zou, Yunheng
Zhang, Shaokun
Cui, Brandon
Liu, Mingjie
Kim, Hyunwoo
Ammanabrolu, Prithviraj
Kautz, Jan
Dong, Yi
Choi, Yejin
Artificial Intelligence
Reinforcement Learning with Verifiable Rewards (RLVR) has become a cornerstone for unlocking complex reasoning in Large Language Models (LLMs). Yet, scaling up RL is bottlenecked by limited existing verifiable data, where improvements increasingly saturate over prolonged training. To overcome this, we propose Golden Goose, a simple trick to synthesize unlimited RLVR tasks from unverifiable internet text by constructing a multiple-choice question-answering version of the fill-in-the-middle task. Given a source text, we prompt an LLM to identify and mask key reasoning steps, then generate a set of diverse, plausible distractors. This enables us to leverage reasoning-rich unverifiable corpora typically excluded from prior RLVR data construction (e.g., science textbooks) to synthesize GooseReason-0.7M, a large-scale RLVR dataset with over 0.7 million tasks spanning mathematics, programming, and general scientific domains. Empirically, GooseReason effectively revives models saturated on existing RLVR data, yielding robust, sustained gains under continuous RL and achieving new state-of-the-art results for 1.5B and 4B-Instruct models across 15 diverse benchmarks. Finally, we deploy Golden Goose in a real-world setting, synthesizing RLVR tasks from raw FineWeb scrapes for the cybersecurity domain, where no prior RLVR data exists. Training Qwen3-4B-Instruct on the resulting data GooseReason-Cyber sets a new state-of-the-art in cybersecurity, surpassing a 7B domain-specialized model with extensive domain-specific pre-training and post-training. This highlights the potential of automatically scaling up RLVR data by exploiting abundant, reasoning-rich, unverifiable internet text.
title Golden Goose: A Simple Trick to Synthesize Unlimited RLVR Tasks from Unverifiable Internet Text
topic Artificial Intelligence
url https://arxiv.org/abs/2601.22975