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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": "18", "budget": 4140 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001884", "normalized_example_id": "ex_001884", "source_idx": 1884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6900, ...
[ { "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": "18", "budget": 5520 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001884", "normalized_example_id": "ex_001884", "source_idx": 1884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6900, ...
[ { "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": "18", "budget": 6900 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001884", "normalized_example_id": "ex_001884", "source_idx": 1884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6900, ...
[ { "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": "45^{\\circ}", "budget": 2949 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001885", "normalized_example_id": "ex_001885", "source_idx": 1885, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4915, ...
[ { "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": "45^{\\circ}", "budget": 3932 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001885", "normalized_example_id": "ex_001885", "source_idx": 1885, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4915, ...
[ { "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": "45^{\\circ}", "budget": 4915 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001885", "normalized_example_id": "ex_001885", "source_idx": 1885, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4915, ...
[ { "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": "90^\\circ", "budget": 4853 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001887", "normalized_example_id": "ex_001887", "source_idx": 1887, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8088, ...
[ { "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": "90^\\circ", "budget": 6470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001887", "normalized_example_id": "ex_001887", "source_idx": 1887, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8088, ...
[ { "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": "90^\\circ", "budget": 8088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001887", "normalized_example_id": "ex_001887", "source_idx": 1887, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8088, ...
[ { "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": "4000", "budget": 2641 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001888", "normalized_example_id": "ex_001888", "source_idx": 1888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4401, ...
[ { "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": "4000", "budget": 3521 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001888", "normalized_example_id": "ex_001888", "source_idx": 1888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4401, ...
[ { "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": "4000", "budget": 4401 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001888", "normalized_example_id": "ex_001888", "source_idx": 1888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4401, ...
[ { "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": "B", "budget": 2350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001889", "normalized_example_id": "ex_001889", "source_idx": 1889, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3916, ...
[ { "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": "B", "budget": 3133 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001889", "normalized_example_id": "ex_001889", "source_idx": 1889, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3916, ...
[ { "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": "B", "budget": 3916 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001889", "normalized_example_id": "ex_001889", "source_idx": 1889, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3916, ...
[ { "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": "500500", "budget": 2264 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001891", "normalized_example_id": "ex_001891", "source_idx": 1891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3774, ...
[ { "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": "500500", "budget": 3019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001891", "normalized_example_id": "ex_001891", "source_idx": 1891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3774, ...
[ { "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": "500500", "budget": 3774 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001891", "normalized_example_id": "ex_001891", "source_idx": 1891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3774, ...
[ { "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": "48", "budget": 1317 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001894", "normalized_example_id": "ex_001894", "source_idx": 1894, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2195, ...
[ { "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": "48", "budget": 1756 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001894", "normalized_example_id": "ex_001894", "source_idx": 1894, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2195, ...
[ { "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": "48", "budget": 2195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001894", "normalized_example_id": "ex_001894", "source_idx": 1894, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2195, ...
[ { "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{17+\\cos6}{4}", "budget": 3550 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001896", "normalized_example_id": "ex_001896", "source_idx": 1896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5916, ...
[ { "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{17+\\cos6}{4}", "budget": 4733 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001896", "normalized_example_id": "ex_001896", "source_idx": 1896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5916, ...
[ { "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{17+\\cos6}{4}", "budget": 5916 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001896", "normalized_example_id": "ex_001896", "source_idx": 1896, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5916, ...
[ { "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{\\sqrt{5}-1}{2}", "budget": 1948 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001898", "normalized_example_id": "ex_001898", "source_idx": 1898, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3246, ...
[ { "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{\\sqrt{5}-1}{2}", "budget": 2597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001898", "normalized_example_id": "ex_001898", "source_idx": 1898, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3246, ...
[ { "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{\\sqrt{5}-1}{2}", "budget": 3246 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001898", "normalized_example_id": "ex_001898", "source_idx": 1898, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3246, ...
[ { "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-\\sqrt{2},+\\infty)", "budget": 3771 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001899", "normalized_example_id": "ex_001899", "source_idx": 1899, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6285, ...
[ { "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-\\sqrt{2},+\\infty)", "budget": 5028 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001899", "normalized_example_id": "ex_001899", "source_idx": 1899, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6285, ...
[ { "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-\\sqrt{2},+\\infty)", "budget": 6285 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001899", "normalized_example_id": "ex_001899", "source_idx": 1899, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6285, ...
[ { "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": "640", "budget": 1388 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001900", "normalized_example_id": "ex_001900", "source_idx": 1900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2314, ...
[ { "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": "640", "budget": 1851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001900", "normalized_example_id": "ex_001900", "source_idx": 1900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2314, ...
[ { "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": "640", "budget": 2314 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001900", "normalized_example_id": "ex_001900", "source_idx": 1900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2314, ...
[ { "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,y)=\\operatorname{lcm}(x,y)", "budget": 3238 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001902", "normalized_example_id": "ex_001902", "source_idx": 1902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5397, ...
[ { "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,y)=\\operatorname{lcm}(x,y)", "budget": 4318 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001902", "normalized_example_id": "ex_001902", "source_idx": 1902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5397, ...
[ { "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,y)=\\operatorname{lcm}(x,y)", "budget": 5397 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001902", "normalized_example_id": "ex_001902", "source_idx": 1902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5397, ...
[ { "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": "0.2347", "budget": 2107 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001903", "normalized_example_id": "ex_001903", "source_idx": 1903, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3511, ...
[ { "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": "0.2347", "budget": 2809 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001903", "normalized_example_id": "ex_001903", "source_idx": 1903, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3511, ...
[ { "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": "0.2347", "budget": 3511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001903", "normalized_example_id": "ex_001903", "source_idx": 1903, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3511, ...
[ { "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": "198", "budget": 1455 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001904", "normalized_example_id": "ex_001904", "source_idx": 1904, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2425, ...
[ { "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": "198", "budget": 1940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001904", "normalized_example_id": "ex_001904", "source_idx": 1904, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2425, ...
[ { "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": "198", "budget": 2425 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001904", "normalized_example_id": "ex_001904", "source_idx": 1904, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2425, ...
[ { "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": "13", "budget": 2047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001908", "normalized_example_id": "ex_001908", "source_idx": 1908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3411, ...
[ { "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": "13", "budget": 2729 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001908", "normalized_example_id": "ex_001908", "source_idx": 1908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3411, ...
[ { "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": "13", "budget": 3411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001908", "normalized_example_id": "ex_001908", "source_idx": 1908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3411, ...
[ { "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": "k = \\frac{2\\sqrt{2}}{\\pi} \\cos \\left( \\frac{\\pi}{2\\sqrt{2}} \\right)", "budget": 3758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001909", "normalized_example_id": "ex_001909", "source_idx": 1909, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6264, ...
[ { "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": "k = \\frac{2\\sqrt{2}}{\\pi} \\cos \\left( \\frac{\\pi}{2\\sqrt{2}} \\right)", "budget": 5011 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001909", "normalized_example_id": "ex_001909", "source_idx": 1909, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6264, ...
[ { "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": "k = \\frac{2\\sqrt{2}}{\\pi} \\cos \\left( \\frac{\\pi}{2\\sqrt{2}} \\right)", "budget": 6264 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001909", "normalized_example_id": "ex_001909", "source_idx": 1909, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6264, ...
[ { "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": "k = 2", "budget": 5866 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001911", "normalized_example_id": "ex_001911", "source_idx": 1911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9776, ...
[ { "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": "k = 2", "budget": 7821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001911", "normalized_example_id": "ex_001911", "source_idx": 1911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9776, ...
[ { "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": "k = 2", "budget": 9776 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001911", "normalized_example_id": "ex_001911", "source_idx": 1911, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9776, ...
[ { "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": "100", "budget": 2014 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001912", "normalized_example_id": "ex_001912", "source_idx": 1912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3357, ...
[ { "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": "100", "budget": 2686 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001912", "normalized_example_id": "ex_001912", "source_idx": 1912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3357, ...
[ { "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": "100", "budget": 3357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001912", "normalized_example_id": "ex_001912", "source_idx": 1912, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3357, ...
[ { "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": "p(x)=-(x-4)(x-1)(x+\\frac{3}{2})", "budget": 3265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001914", "normalized_example_id": "ex_001914", "source_idx": 1914, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5441, ...
[ { "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": "p(x)=-(x-4)(x-1)(x+\\frac{3}{2})", "budget": 4353 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001914", "normalized_example_id": "ex_001914", "source_idx": 1914, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5441, ...
[ { "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": "p(x)=-(x-4)(x-1)(x+\\frac{3}{2})", "budget": 5441 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001914", "normalized_example_id": "ex_001914", "source_idx": 1914, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5441, ...
[ { "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": "1.48", "budget": 2840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001915", "normalized_example_id": "ex_001915", "source_idx": 1915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4733, ...
[ { "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": "1.48", "budget": 3786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001915", "normalized_example_id": "ex_001915", "source_idx": 1915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4733, ...
[ { "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": "1.48", "budget": 4733 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001915", "normalized_example_id": "ex_001915", "source_idx": 1915, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4733, ...
[ { "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": "21\\sqrt{55}\\mathrm{~}^{3},84\\mathrm{~}^{2}", "budget": 1544 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001916", "normalized_example_id": "ex_001916", "source_idx": 1916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2574, ...
[ { "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": "21\\sqrt{55}\\mathrm{~}^{3},84\\mathrm{~}^{2}", "budget": 2059 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001916", "normalized_example_id": "ex_001916", "source_idx": 1916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2574, ...
[ { "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": "21\\sqrt{55}\\mathrm{~}^{3},84\\mathrm{~}^{2}", "budget": 2574 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001916", "normalized_example_id": "ex_001916", "source_idx": 1916, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2574, ...
[ { "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": "351,702,1053,1404", "budget": 3358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001917", "normalized_example_id": "ex_001917", "source_idx": 1917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5596, ...
[ { "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": "351,702,1053,1404", "budget": 4477 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001917", "normalized_example_id": "ex_001917", "source_idx": 1917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5596, ...
[ { "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": "351,702,1053,1404", "budget": 5596 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001917", "normalized_example_id": "ex_001917", "source_idx": 1917, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5596, ...
[ { "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": "1991", "budget": 1833 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001918", "normalized_example_id": "ex_001918", "source_idx": 1918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3055, ...
[ { "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": "1991", "budget": 2444 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001918", "normalized_example_id": "ex_001918", "source_idx": 1918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3055, ...
[ { "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": "1991", "budget": 3055 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001918", "normalized_example_id": "ex_001918", "source_idx": 1918, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3055, ...
[ { "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": "31", "budget": 4043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001920", "normalized_example_id": "ex_001920", "source_idx": 1920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6738, ...
[ { "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": "31", "budget": 5390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001920", "normalized_example_id": "ex_001920", "source_idx": 1920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6738, ...
[ { "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": "31", "budget": 6738 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001920", "normalized_example_id": "ex_001920", "source_idx": 1920, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6738, ...
[ { "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": "13", "budget": 783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001923", "normalized_example_id": "ex_001923", "source_idx": 1923, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1305, ...
[ { "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": "13", "budget": 1044 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001923", "normalized_example_id": "ex_001923", "source_idx": 1923, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1305, ...
[ { "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": "13", "budget": 1305 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001923", "normalized_example_id": "ex_001923", "source_idx": 1923, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1305, ...
[ { "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{3\\pi}{4}", "budget": 1850 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001924", "normalized_example_id": "ex_001924", "source_idx": 1924, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3083, ...
[ { "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{3\\pi}{4}", "budget": 2466 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001924", "normalized_example_id": "ex_001924", "source_idx": 1924, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3083, ...
[ { "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{3\\pi}{4}", "budget": 3083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001924", "normalized_example_id": "ex_001924", "source_idx": 1924, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3083, ...
[ { "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": "x=-0.9524838", "budget": 5606 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001925", "normalized_example_id": "ex_001925", "source_idx": 1925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9343, ...
[ { "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": "x=-0.9524838", "budget": 7474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001925", "normalized_example_id": "ex_001925", "source_idx": 1925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9343, ...
[ { "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": "x=-0.9524838", "budget": 9343 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001925", "normalized_example_id": "ex_001925", "source_idx": 1925, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9343, ...
[ { "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": "\\textbf{(D)}", "budget": 3586 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001926", "normalized_example_id": "ex_001926", "source_idx": 1926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5976, ...
[ { "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": "\\textbf{(D)}", "budget": 4781 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001926", "normalized_example_id": "ex_001926", "source_idx": 1926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5976, ...
[ { "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": "\\textbf{(D)}", "budget": 5976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001926", "normalized_example_id": "ex_001926", "source_idx": 1926, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5976, ...
[ { "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": "63\\mathrm{~}^{2}", "budget": 2857 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001927", "normalized_example_id": "ex_001927", "source_idx": 1927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4762, ...
[ { "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": "63\\mathrm{~}^{2}", "budget": 3810 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001927", "normalized_example_id": "ex_001927", "source_idx": 1927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4762, ...
[ { "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": "63\\mathrm{~}^{2}", "budget": 4762 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001927", "normalized_example_id": "ex_001927", "source_idx": 1927, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4762, ...
[ { "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", "budget": 3968 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001929", "normalized_example_id": "ex_001929", "source_idx": 1929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6614, ...
[ { "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", "budget": 5291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001929", "normalized_example_id": "ex_001929", "source_idx": 1929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6614, ...
[ { "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", "budget": 6614 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001929", "normalized_example_id": "ex_001929", "source_idx": 1929, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6614, ...
[ { "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", "budget": 2481 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001934", "normalized_example_id": "ex_001934", "source_idx": 1934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4135, ...
[ { "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", "budget": 3308 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001934", "normalized_example_id": "ex_001934", "source_idx": 1934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4135, ...
[ { "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", "budget": 4135 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001934", "normalized_example_id": "ex_001934", "source_idx": 1934, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4135, ...
[ { "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": "25", "budget": 988 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001935", "normalized_example_id": "ex_001935", "source_idx": 1935, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1647, ...
[ { "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": "25", "budget": 1318 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001935", "normalized_example_id": "ex_001935", "source_idx": 1935, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1647, ...
[ { "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": "25", "budget": 1647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001935", "normalized_example_id": "ex_001935", "source_idx": 1935, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1647, ...
[ { "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": "501", "budget": 1711 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001937", "normalized_example_id": "ex_001937", "source_idx": 1937, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2851, ...
[ { "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": "501", "budget": 2281 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001937", "normalized_example_id": "ex_001937", "source_idx": 1937, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2851, ...
[ { "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": "501", "budget": 2851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001937", "normalized_example_id": "ex_001937", "source_idx": 1937, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2851, ...
[ { "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": "2500", "budget": 2652 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_001938", "normalized_example_id": "ex_001938", "source_idx": 1938, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4420, ...