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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": "9", "budget": 4829 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005672", "normalized_example_id": "ex_005672", "source_idx": 5672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8048, ...
[ { "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": 6438 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005672", "normalized_example_id": "ex_005672", "source_idx": 5672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8048, ...
[ { "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": 8048 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005672", "normalized_example_id": "ex_005672", "source_idx": 5672, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8048, ...
[ { "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;3),(75/13;-3/7)", "budget": 1678 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005674", "normalized_example_id": "ex_005674", "source_idx": 5674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2796, ...
[ { "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;3),(75/13;-3/7)", "budget": 2237 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005674", "normalized_example_id": "ex_005674", "source_idx": 5674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2796, ...
[ { "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;3),(75/13;-3/7)", "budget": 2796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005674", "normalized_example_id": "ex_005674", "source_idx": 5674, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2796, ...
[ { "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{6}}{3}", "budget": 3940 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005675", "normalized_example_id": "ex_005675", "source_idx": 5675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "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{6}}{3}", "budget": 5253 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005675", "normalized_example_id": "ex_005675", "source_idx": 5675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "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{6}}{3}", "budget": 6566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005675", "normalized_example_id": "ex_005675", "source_idx": 5675, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6566, ...
[ { "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": "4", "budget": 1105 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005676", "normalized_example_id": "ex_005676", "source_idx": 5676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1841, ...
[ { "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": "4", "budget": 1473 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005676", "normalized_example_id": "ex_005676", "source_idx": 5676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1841, ...
[ { "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": "4", "budget": 1841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005676", "normalized_example_id": "ex_005676", "source_idx": 5676, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1841, ...
[ { "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": "2025", "budget": 751 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005677", "normalized_example_id": "ex_005677", "source_idx": 5677, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1251, ...
[ { "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": "2025", "budget": 1001 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005677", "normalized_example_id": "ex_005677", "source_idx": 5677, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1251, ...
[ { "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": "2025", "budget": 1251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005677", "normalized_example_id": "ex_005677", "source_idx": 5677, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1251, ...
[ { "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": "360", "budget": 958 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005683", "normalized_example_id": "ex_005683", "source_idx": 5683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1597, ...
[ { "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": "360", "budget": 1278 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005683", "normalized_example_id": "ex_005683", "source_idx": 5683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1597, ...
[ { "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": "360", "budget": 1597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005683", "normalized_example_id": "ex_005683", "source_idx": 5683, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1597, ...
[ { "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": "4", "budget": 4727 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005684", "normalized_example_id": "ex_005684", "source_idx": 5684, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7879, ...
[ { "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": "4", "budget": 6303 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005684", "normalized_example_id": "ex_005684", "source_idx": 5684, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7879, ...
[ { "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": "4", "budget": 7879 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005684", "normalized_example_id": "ex_005684", "source_idx": 5684, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7879, ...
[ { "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": "(2,2)", "budget": 5950 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005685", "normalized_example_id": "ex_005685", "source_idx": 5685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9916, ...
[ { "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": "(2,2)", "budget": 7933 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005685", "normalized_example_id": "ex_005685", "source_idx": 5685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9916, ...
[ { "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": "(2,2)", "budget": 9916 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005685", "normalized_example_id": "ex_005685", "source_idx": 5685, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9916, ...
[ { "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": "17", "budget": 3973 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005686", "normalized_example_id": "ex_005686", "source_idx": 5686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6621, ...
[ { "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": "17", "budget": 5297 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005686", "normalized_example_id": "ex_005686", "source_idx": 5686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6621, ...
[ { "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": "17", "budget": 6621 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005686", "normalized_example_id": "ex_005686", "source_idx": 5686, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6621, ...
[ { "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^{\\alpha}", "budget": 3472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005687", "normalized_example_id": "ex_005687", "source_idx": 5687, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5786, ...
[ { "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^{\\alpha}", "budget": 4629 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005687", "normalized_example_id": "ex_005687", "source_idx": 5687, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5786, ...
[ { "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^{\\alpha}", "budget": 5786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005687", "normalized_example_id": "ex_005687", "source_idx": 5687, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5786, ...
[ { "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}{2}", "budget": 2712 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005689", "normalized_example_id": "ex_005689", "source_idx": 5689, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4520, ...
[ { "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}{2}", "budget": 3616 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005689", "normalized_example_id": "ex_005689", "source_idx": 5689, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4520, ...
[ { "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}{2}", "budget": 4520 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005689", "normalized_example_id": "ex_005689", "source_idx": 5689, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4520, ...
[ { "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{p}{4}", "budget": 2141 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005690", "normalized_example_id": "ex_005690", "source_idx": 5690, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3569, ...
[ { "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{p}{4}", "budget": 2855 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005690", "normalized_example_id": "ex_005690", "source_idx": 5690, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3569, ...
[ { "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{p}{4}", "budget": 3569 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005690", "normalized_example_id": "ex_005690", "source_idx": 5690, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3569, ...
[ { "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;5),(1;3;3),(2;2;2)", "budget": 4361 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005693", "normalized_example_id": "ex_005693", "source_idx": 5693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7269, ...
[ { "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;5),(1;3;3),(2;2;2)", "budget": 5815 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005693", "normalized_example_id": "ex_005693", "source_idx": 5693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7269, ...
[ { "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;5),(1;3;3),(2;2;2)", "budget": 7269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005693", "normalized_example_id": "ex_005693", "source_idx": 5693, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7269, ...
[ { "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": "1000", "budget": 1927 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005694", "normalized_example_id": "ex_005694", "source_idx": 5694, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3211, ...
[ { "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": "1000", "budget": 2569 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005694", "normalized_example_id": "ex_005694", "source_idx": 5694, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3211, ...
[ { "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": "1000", "budget": 3211 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005694", "normalized_example_id": "ex_005694", "source_idx": 5694, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3211, ...
[ { "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}{16}", "budget": 4319 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005695", "normalized_example_id": "ex_005695", "source_idx": 5695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7198, ...
[ { "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}{16}", "budget": 5758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005695", "normalized_example_id": "ex_005695", "source_idx": 5695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7198, ...
[ { "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}{16}", "budget": 7198 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005695", "normalized_example_id": "ex_005695", "source_idx": 5695, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7198, ...
[ { "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": "\\pm \\sqrt{6}, \\pm (1 + \\sqrt{3}), \\pm (1 - \\sqrt{3})", "budget": 1561 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005696", "normalized_example_id": "ex_005696", "source_idx": 5696, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2601, ...
[ { "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": "\\pm \\sqrt{6}, \\pm (1 + \\sqrt{3}), \\pm (1 - \\sqrt{3})", "budget": 2081 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005696", "normalized_example_id": "ex_005696", "source_idx": 5696, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2601, ...
[ { "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": "\\pm \\sqrt{6}, \\pm (1 + \\sqrt{3}), \\pm (1 - \\sqrt{3})", "budget": 2601 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005696", "normalized_example_id": "ex_005696", "source_idx": 5696, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2601, ...
[ { "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": "(1,22,42),(1,42,22),(22,1,42),(22,42,1),(42,1,22),(42,22,1)", "budget": 2195 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005697", "normalized_example_id": "ex_005697", "source_idx": 5697, "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": "(1,22,42),(1,42,22),(22,1,42),(22,42,1),(42,1,22),(42,22,1)", "budget": 2926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005697", "normalized_example_id": "ex_005697", "source_idx": 5697, "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": "(1,22,42),(1,42,22),(22,1,42),(22,42,1),(42,1,22),(42,22,1)", "budget": 3658 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005697", "normalized_example_id": "ex_005697", "source_idx": 5697, "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": "(n-1)^2", "budget": 1828 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005700", "normalized_example_id": "ex_005700", "source_idx": 5700, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3046, ...
[ { "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-1)^2", "budget": 2437 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005700", "normalized_example_id": "ex_005700", "source_idx": 5700, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3046, ...
[ { "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-1)^2", "budget": 3046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005700", "normalized_example_id": "ex_005700", "source_idx": 5700, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3046, ...
[ { "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", "budget": 1537 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005701", "normalized_example_id": "ex_005701", "source_idx": 5701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2562, ...
[ { "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", "budget": 2050 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005701", "normalized_example_id": "ex_005701", "source_idx": 5701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2562, ...
[ { "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", "budget": 2562 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005701", "normalized_example_id": "ex_005701", "source_idx": 5701, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2562, ...
[ { "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{5}{4}", "budget": 1352 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005703", "normalized_example_id": "ex_005703", "source_idx": 5703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2253, ...
[ { "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{5}{4}", "budget": 1802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005703", "normalized_example_id": "ex_005703", "source_idx": 5703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2253, ...
[ { "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{5}{4}", "budget": 2253 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005703", "normalized_example_id": "ex_005703", "source_idx": 5703, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2253, ...
[ { "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": "5050", "budget": 1631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005704", "normalized_example_id": "ex_005704", "source_idx": 5704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2718, ...
[ { "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": "5050", "budget": 2174 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005704", "normalized_example_id": "ex_005704", "source_idx": 5704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2718, ...
[ { "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": "5050", "budget": 2718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005704", "normalized_example_id": "ex_005704", "source_idx": 5704, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2718, ...
[ { "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| \\leqslant \\frac{1}{4}", "budget": 3182 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005705", "normalized_example_id": "ex_005705", "source_idx": 5705, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5304, ...
[ { "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| \\leqslant \\frac{1}{4}", "budget": 4243 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005705", "normalized_example_id": "ex_005705", "source_idx": 5705, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5304, ...
[ { "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| \\leqslant \\frac{1}{4}", "budget": 5304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005705", "normalized_example_id": "ex_005705", "source_idx": 5705, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5304, ...
[ { "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_{1}=3\\log_{6}2,x_{2}=3", "budget": 1925 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005707", "normalized_example_id": "ex_005707", "source_idx": 5707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3208, ...
[ { "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_{1}=3\\log_{6}2,x_{2}=3", "budget": 2566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005707", "normalized_example_id": "ex_005707", "source_idx": 5707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3208, ...
[ { "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_{1}=3\\log_{6}2,x_{2}=3", "budget": 3208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005707", "normalized_example_id": "ex_005707", "source_idx": 5707, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3208, ...
[ { "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": "4", "budget": 2087 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005708", "normalized_example_id": "ex_005708", "source_idx": 5708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3479, ...
[ { "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": "4", "budget": 2783 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005708", "normalized_example_id": "ex_005708", "source_idx": 5708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3479, ...
[ { "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": "4", "budget": 3479 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005708", "normalized_example_id": "ex_005708", "source_idx": 5708, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3479, ...
[ { "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", "budget": 3648 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005714", "normalized_example_id": "ex_005714", "source_idx": 5714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6080, ...
[ { "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", "budget": 4864 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005714", "normalized_example_id": "ex_005714", "source_idx": 5714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6080, ...
[ { "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", "budget": 6080 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005714", "normalized_example_id": "ex_005714", "source_idx": 5714, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6080, ...
[ { "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": 1482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005716", "normalized_example_id": "ex_005716", "source_idx": 5716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2470, ...
[ { "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": 1976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005716", "normalized_example_id": "ex_005716", "source_idx": 5716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2470, ...
[ { "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": 2470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005716", "normalized_example_id": "ex_005716", "source_idx": 5716, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2470, ...
[ { "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": "7", "budget": 2344 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005717", "normalized_example_id": "ex_005717", "source_idx": 5717, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3907, ...
[ { "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": "7", "budget": 3126 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005717", "normalized_example_id": "ex_005717", "source_idx": 5717, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3907, ...
[ { "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": "7", "budget": 3907 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005717", "normalized_example_id": "ex_005717", "source_idx": 5717, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3907, ...
[ { "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": "Fx", "budget": 2908 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005718", "normalized_example_id": "ex_005718", "source_idx": 5718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4847, ...
[ { "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": "Fx", "budget": 3878 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005718", "normalized_example_id": "ex_005718", "source_idx": 5718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4847, ...
[ { "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": "Fx", "budget": 4847 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005718", "normalized_example_id": "ex_005718", "source_idx": 5718, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4847, ...
[ { "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": 1381 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005720", "normalized_example_id": "ex_005720", "source_idx": 5720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2301, ...
[ { "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": 1841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005720", "normalized_example_id": "ex_005720", "source_idx": 5720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2301, ...
[ { "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": 2301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005720", "normalized_example_id": "ex_005720", "source_idx": 5720, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2301, ...
[ { "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{23}", "budget": 2928 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005721", "normalized_example_id": "ex_005721", "source_idx": 5721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4880, ...
[ { "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{23}", "budget": 3904 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005721", "normalized_example_id": "ex_005721", "source_idx": 5721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4880, ...
[ { "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{23}", "budget": 4880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005721", "normalized_example_id": "ex_005721", "source_idx": 5721, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4880, ...
[ { "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": 2894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005722", "normalized_example_id": "ex_005722", "source_idx": 5722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4824, ...
[ { "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": 3859 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005722", "normalized_example_id": "ex_005722", "source_idx": 5722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4824, ...
[ { "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": 4824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005722", "normalized_example_id": "ex_005722", "source_idx": 5722, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4824, ...
[ { "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": "16", "budget": 3123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005723", "normalized_example_id": "ex_005723", "source_idx": 5723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5205, ...
[ { "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": "16", "budget": 4164 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005723", "normalized_example_id": "ex_005723", "source_idx": 5723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5205, ...
[ { "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": "16", "budget": 5205 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005723", "normalized_example_id": "ex_005723", "source_idx": 5723, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5205, ...
[ { "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": 2193 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005725", "normalized_example_id": "ex_005725", "source_idx": 5725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3655, ...
[ { "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": 2924 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005725", "normalized_example_id": "ex_005725", "source_idx": 5725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3655, ...
[ { "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": 3655 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005725", "normalized_example_id": "ex_005725", "source_idx": 5725, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3655, ...
[ { "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": "1,3,11,33", "budget": 4319 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005726", "normalized_example_id": "ex_005726", "source_idx": 5726, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7199, ...