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[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "-2(x-3)", "budget": 6327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006707", "normalized_example_id": "ex_006707", "source_idx": 6707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6327, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27864.98", "budget": 5951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006711", "normalized_example_id": "ex_006711", "source_idx": 6711, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9919, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27864.98", "budget": 7935 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006711", "normalized_example_id": "ex_006711", "source_idx": 6711, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9919, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "27864.98", "budget": 9919 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006711", "normalized_example_id": "ex_006711", "source_idx": 6711, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9919, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{200}-2", "budget": 2342 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006713", "normalized_example_id": "ex_006713", "source_idx": 6713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3904, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{200}-2", "budget": 3123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006713", "normalized_example_id": "ex_006713", "source_idx": 6713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3904, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2^{200}-2", "budget": 3904 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006713", "normalized_example_id": "ex_006713", "source_idx": 6713, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3904, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 10", "budget": 1774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006714", "normalized_example_id": "ex_006714", "source_idx": 6714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2956, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 10", "budget": 2365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006714", "normalized_example_id": "ex_006714", "source_idx": 6714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2956, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n = 10", "budget": 2956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006714", "normalized_example_id": "ex_006714", "source_idx": 6714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2956, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 5390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006716", "normalized_example_id": "ex_006716", "source_idx": 6716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8984, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 7187 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006716", "normalized_example_id": "ex_006716", "source_idx": 6716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8984, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 8984 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006716", "normalized_example_id": "ex_006716", "source_idx": 6716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8984, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "{-1,\\frac{31}{28}}", "budget": 2443 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006718", "normalized_example_id": "ex_006718", "source_idx": 6718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4072, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "{-1,\\frac{31}{28}}", "budget": 3258 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006718", "normalized_example_id": "ex_006718", "source_idx": 6718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4072, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "{-1,\\frac{31}{28}}", "budget": 4072 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006718", "normalized_example_id": "ex_006718", "source_idx": 6718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4072, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1)(2)(4)", "budget": 5567 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006719", "normalized_example_id": "ex_006719", "source_idx": 6719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9278, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1)(2)(4)", "budget": 7422 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006719", "normalized_example_id": "ex_006719", "source_idx": 6719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9278, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1)(2)(4)", "budget": 9278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006719", "normalized_example_id": "ex_006719", "source_idx": 6719, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9278, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:3:2", "budget": 2197 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006720", "normalized_example_id": "ex_006720", "source_idx": 6720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3661, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:3:2", "budget": 2929 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006720", "normalized_example_id": "ex_006720", "source_idx": 6720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3661, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5:3:2", "budget": 3661 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006720", "normalized_example_id": "ex_006720", "source_idx": 6720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3661, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{16}{25}", "budget": 1104 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006721", "normalized_example_id": "ex_006721", "source_idx": 6721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{16}{25}", "budget": 1472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006721", "normalized_example_id": "ex_006721", "source_idx": 6721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{16}{25}", "budget": 1840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006721", "normalized_example_id": "ex_006721", "source_idx": 6721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1840, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28", "budget": 4243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006722", "normalized_example_id": "ex_006722", "source_idx": 6722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7071, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28", "budget": 5657 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006722", "normalized_example_id": "ex_006722", "source_idx": 6722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7071, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "28", "budget": 7071 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006722", "normalized_example_id": "ex_006722", "source_idx": 6722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7071, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4\\pi}{3}", "budget": 2195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006723", "normalized_example_id": "ex_006723", "source_idx": 6723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4\\pi}{3}", "budget": 2926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006723", "normalized_example_id": "ex_006723", "source_idx": 6723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4\\pi}{3}", "budget": 3658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006723", "normalized_example_id": "ex_006723", "source_idx": 6723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3658, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 2540 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006724", "normalized_example_id": "ex_006724", "source_idx": 6724, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4234, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 3387 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006724", "normalized_example_id": "ex_006724", "source_idx": 6724, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4234, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 4234 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006724", "normalized_example_id": "ex_006724", "source_idx": 6724, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4234, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x", "budget": 2813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006727", "normalized_example_id": "ex_006727", "source_idx": 6727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4689, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x", "budget": 3751 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006727", "normalized_example_id": "ex_006727", "source_idx": 6727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4689, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=x", "budget": 4689 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006727", "normalized_example_id": "ex_006727", "source_idx": 6727, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4689, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 2648 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006729", "normalized_example_id": "ex_006729", "source_idx": 6729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4414, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 3531 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006729", "normalized_example_id": "ex_006729", "source_idx": 6729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4414, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "44", "budget": 4414 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006729", "normalized_example_id": "ex_006729", "source_idx": 6729, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4414, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a_{n}=\\frac{n(n+1)}{2}", "budget": 1779 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006733", "normalized_example_id": "ex_006733", "source_idx": 6733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a_{n}=\\frac{n(n+1)}{2}", "budget": 2372 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006733", "normalized_example_id": "ex_006733", "source_idx": 6733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "a_{n}=\\frac{n(n+1)}{2}", "budget": 2965 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006733", "normalized_example_id": "ex_006733", "source_idx": 6733, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2965, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n", "budget": 4224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006734", "normalized_example_id": "ex_006734", "source_idx": 6734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7040, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n", "budget": 5632 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006734", "normalized_example_id": "ex_006734", "source_idx": 6734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7040, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n", "budget": 7040 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006734", "normalized_example_id": "ex_006734", "source_idx": 6734, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7040, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1092", "budget": 2270 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006735", "normalized_example_id": "ex_006735", "source_idx": 6735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1092", "budget": 3026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006735", "normalized_example_id": "ex_006735", "source_idx": 6735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1092", "budget": 3783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006735", "normalized_example_id": "ex_006735", "source_idx": 6735, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3783, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "z_{1}=0,z_{2}=\\frac{1}{2}+i\\frac{\\sqrt{3}}{2},z_{3}=-1,z_{4}=\\frac{1}{2}-i\\frac{\\sqrt{3}}{2}", "budget": 2817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006736", "normalized_example_id": "ex_006736", "source_idx": 6736, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "z_{1}=0,z_{2}=\\frac{1}{2}+i\\frac{\\sqrt{3}}{2},z_{3}=-1,z_{4}=\\frac{1}{2}-i\\frac{\\sqrt{3}}{2}", "budget": 3756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006736", "normalized_example_id": "ex_006736", "source_idx": 6736, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "z_{1}=0,z_{2}=\\frac{1}{2}+i\\frac{\\sqrt{3}}{2},z_{3}=-1,z_{4}=\\frac{1}{2}-i\\frac{\\sqrt{3}}{2}", "budget": 4695 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006736", "normalized_example_id": "ex_006736", "source_idx": 6736, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4695, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=0", "budget": 3503 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006742", "normalized_example_id": "ex_006742", "source_idx": 6742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5839, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=0", "budget": 4671 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006742", "normalized_example_id": "ex_006742", "source_idx": 6742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5839, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "f(x)=0", "budget": 5839 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006742", "normalized_example_id": "ex_006742", "source_idx": 6742, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5839, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Q_{n}=1-\\frac{F_{n+2}}{2^{n}}", "budget": 2480 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006746", "normalized_example_id": "ex_006746", "source_idx": 6746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Q_{n}=1-\\frac{F_{n+2}}{2^{n}}", "budget": 3306 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006746", "normalized_example_id": "ex_006746", "source_idx": 6746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Q_{n}=1-\\frac{F_{n+2}}{2^{n}}", "budget": 4133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006746", "normalized_example_id": "ex_006746", "source_idx": 6746, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4133, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\piR^{2}(1+\\sqrt{5})", "budget": 1651 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006747", "normalized_example_id": "ex_006747", "source_idx": 6747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2752, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\piR^{2}(1+\\sqrt{5})", "budget": 2202 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006747", "normalized_example_id": "ex_006747", "source_idx": 6747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2752, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\piR^{2}(1+\\sqrt{5})", "budget": 2752 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006747", "normalized_example_id": "ex_006747", "source_idx": 6747, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2752, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(\\frac{1}{2};\\frac{1}{2})", "budget": 1046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006750", "normalized_example_id": "ex_006750", "source_idx": 6750, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1743, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(\\frac{1}{2};\\frac{1}{2})", "budget": 1394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006750", "normalized_example_id": "ex_006750", "source_idx": 6750, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1743, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(\\frac{1}{2};\\frac{1}{2})", "budget": 1743 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006750", "normalized_example_id": "ex_006750", "source_idx": 6750, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1743, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1063 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006752", "normalized_example_id": "ex_006752", "source_idx": 6752, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1417 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006752", "normalized_example_id": "ex_006752", "source_idx": 6752, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6", "budget": 1771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006752", "normalized_example_id": "ex_006752", "source_idx": 6752, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1771, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 2184 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006754", "normalized_example_id": "ex_006754", "source_idx": 6754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 2912 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006754", "normalized_example_id": "ex_006754", "source_idx": 6754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 3640 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006754", "normalized_example_id": "ex_006754", "source_idx": 6754, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3640, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "180", "budget": 5855 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006756", "normalized_example_id": "ex_006756", "source_idx": 6756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9759, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "180", "budget": 7807 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006756", "normalized_example_id": "ex_006756", "source_idx": 6756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9759, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "180", "budget": 9759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006756", "normalized_example_id": "ex_006756", "source_idx": 6756, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9759, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1024", "budget": 6135 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006760", "normalized_example_id": "ex_006760", "source_idx": 6760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10225, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1024", "budget": 8180 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006760", "normalized_example_id": "ex_006760", "source_idx": 6760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10225, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1024", "budget": 10225 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006760", "normalized_example_id": "ex_006760", "source_idx": 6760, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10225, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1548 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006762", "normalized_example_id": "ex_006762", "source_idx": 6762, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2580, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2064 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006762", "normalized_example_id": "ex_006762", "source_idx": 6762, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2580, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2580 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006762", "normalized_example_id": "ex_006762", "source_idx": 6762, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2580, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "132", "budget": 4108 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006767", "normalized_example_id": "ex_006767", "source_idx": 6767, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6847, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "132", "budget": 5478 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006767", "normalized_example_id": "ex_006767", "source_idx": 6767, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6847, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "132", "budget": 6847 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006767", "normalized_example_id": "ex_006767", "source_idx": 6767, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6847, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "79", "budget": 3728 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006772", "normalized_example_id": "ex_006772", "source_idx": 6772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6213, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "79", "budget": 4970 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006772", "normalized_example_id": "ex_006772", "source_idx": 6772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6213, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "79", "budget": 6213 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006772", "normalized_example_id": "ex_006772", "source_idx": 6772, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6213, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3\\sqrt{2}", "budget": 2650 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006775", "normalized_example_id": "ex_006775", "source_idx": 6775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4417, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3\\sqrt{2}", "budget": 3534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006775", "normalized_example_id": "ex_006775", "source_idx": 6775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4417, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3\\sqrt{2}", "budget": 4417 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006775", "normalized_example_id": "ex_006775", "source_idx": 6775, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4417, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\cdot\\ln|x|-\\frac{1}{2(x+1)^{2}}+C", "budget": 941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006777", "normalized_example_id": "ex_006777", "source_idx": 6777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1569, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\cdot\\ln|x|-\\frac{1}{2(x+1)^{2}}+C", "budget": 1255 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006777", "normalized_example_id": "ex_006777", "source_idx": 6777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1569, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\cdot\\ln|x|-\\frac{1}{2(x+1)^{2}}+C", "budget": 1569 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006777", "normalized_example_id": "ex_006777", "source_idx": 6777, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1569, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e^2", "budget": 2726 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006778", "normalized_example_id": "ex_006778", "source_idx": 6778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4544, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e^2", "budget": 3635 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006778", "normalized_example_id": "ex_006778", "source_idx": 6778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4544, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "e^2", "budget": 4544 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006778", "normalized_example_id": "ex_006778", "source_idx": 6778, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4544, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{21}", "budget": 2556 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006779", "normalized_example_id": "ex_006779", "source_idx": 6779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{21}", "budget": 3408 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006779", "normalized_example_id": "ex_006779", "source_idx": 6779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\sqrt{21}", "budget": 4260 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006779", "normalized_example_id": "ex_006779", "source_idx": 6779, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 1093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006780", "normalized_example_id": "ex_006780", "source_idx": 6780, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1822, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 1458 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006780", "normalized_example_id": "ex_006780", "source_idx": 6780, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1822, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 1822 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006780", "normalized_example_id": "ex_006780", "source_idx": 6780, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1822, ...