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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": "(-1,1)", "budget": 3829 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005208", "normalized_example_id": "ex_005208", "source_idx": 5208, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3829, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{3}", "budget": 3807 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005209", "normalized_example_id": "ex_005209", "source_idx": 5209, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6345, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{3}", "budget": 5076 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005209", "normalized_example_id": "ex_005209", "source_idx": 5209, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6345, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{3}", "budget": 6345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005209", "normalized_example_id": "ex_005209", "source_idx": 5209, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6345, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3338", "budget": 2360 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005210", "normalized_example_id": "ex_005210", "source_idx": 5210, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3934, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3338", "budget": 3147 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005210", "normalized_example_id": "ex_005210", "source_idx": 5210, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3934, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3338", "budget": 3934 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005210", "normalized_example_id": "ex_005210", "source_idx": 5210, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3934, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n", "budget": 1840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005214", "normalized_example_id": "ex_005214", "source_idx": 5214, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3066, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n", "budget": 2453 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005214", "normalized_example_id": "ex_005214", "source_idx": 5214, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3066, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "n", "budget": 3066 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005214", "normalized_example_id": "ex_005214", "source_idx": 5214, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3066, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3834 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005216", "normalized_example_id": "ex_005216", "source_idx": 5216, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005216", "normalized_example_id": "ex_005216", "source_idx": 5216, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005216", "normalized_example_id": "ex_005216", "source_idx": 5216, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6390, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(\\begin{pmatrix}-35&30\\\\-45&10\\end{pmatrix})", "budget": 833 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005217", "normalized_example_id": "ex_005217", "source_idx": 5217, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(\\begin{pmatrix}-35&30\\\\-45&10\\end{pmatrix})", "budget": 1111 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005217", "normalized_example_id": "ex_005217", "source_idx": 5217, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(\\begin{pmatrix}-35&30\\\\-45&10\\end{pmatrix})", "budget": 1389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005217", "normalized_example_id": "ex_005217", "source_idx": 5217, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\lceil \\frac{n}{2} \\rceil", "budget": 5818 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005220", "normalized_example_id": "ex_005220", "source_idx": 5220, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9697, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\lceil \\frac{n}{2} \\rceil", "budget": 7758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005220", "normalized_example_id": "ex_005220", "source_idx": 5220, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9697, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\lceil \\frac{n}{2} \\rceil", "budget": 9697 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005220", "normalized_example_id": "ex_005220", "source_idx": 5220, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9697, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}", "budget": 4956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005223", "normalized_example_id": "ex_005223", "source_idx": 5223, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}", "budget": 6608 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005223", "normalized_example_id": "ex_005223", "source_idx": 5223, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+\\sqrt{2}", "budget": 8260 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005223", "normalized_example_id": "ex_005223", "source_idx": 5223, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8Q}{\\pi}", "budget": 1997 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005224", "normalized_example_id": "ex_005224", "source_idx": 5224, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3329, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8Q}{\\pi}", "budget": 2663 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005224", "normalized_example_id": "ex_005224", "source_idx": 5224, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3329, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8Q}{\\pi}", "budget": 3329 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005224", "normalized_example_id": "ex_005224", "source_idx": 5224, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3329, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 2956 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005230", "normalized_example_id": "ex_005230", "source_idx": 5230, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4926, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 3941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005230", "normalized_example_id": "ex_005230", "source_idx": 5230, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4926, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 4926 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005230", "normalized_example_id": "ex_005230", "source_idx": 5230, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4926, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4522 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005231", "normalized_example_id": "ex_005231", "source_idx": 5231, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7536, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005231", "normalized_example_id": "ex_005231", "source_idx": 5231, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7536, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7536 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005231", "normalized_example_id": "ex_005231", "source_idx": 5231, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7536, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{21}{11}", "budget": 3385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005235", "normalized_example_id": "ex_005235", "source_idx": 5235, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5641, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{21}{11}", "budget": 4513 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005235", "normalized_example_id": "ex_005235", "source_idx": 5235, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5641, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{21}{11}", "budget": 5641 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005235", "normalized_example_id": "ex_005235", "source_idx": 5235, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5641, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3906 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005238", "normalized_example_id": "ex_005238", "source_idx": 5238, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6510, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005238", "normalized_example_id": "ex_005238", "source_idx": 5238, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6510, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6510 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005238", "normalized_example_id": "ex_005238", "source_idx": 5238, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6510, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 1589 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005239", "normalized_example_id": "ex_005239", "source_idx": 5239, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2119 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005239", "normalized_example_id": "ex_005239", "source_idx": 5239, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 2649 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005239", "normalized_example_id": "ex_005239", "source_idx": 5239, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2649, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 1439 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005245", "normalized_example_id": "ex_005245", "source_idx": 5245, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2398, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 1918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005245", "normalized_example_id": "ex_005245", "source_idx": 5245, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2398, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "34", "budget": 2398 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005245", "normalized_example_id": "ex_005245", "source_idx": 5245, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2398, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{129}", "budget": 3026 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005248", "normalized_example_id": "ex_005248", "source_idx": 5248, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{129}", "budget": 4035 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005248", "normalized_example_id": "ex_005248", "source_idx": 5248, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{129}", "budget": 5044 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005248", "normalized_example_id": "ex_005248", "source_idx": 5248, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5044, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 1768 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005249", "normalized_example_id": "ex_005249", "source_idx": 5249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 2357 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005249", "normalized_example_id": "ex_005249", "source_idx": 5249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "10", "budget": 2946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005249", "normalized_example_id": "ex_005249", "source_idx": 5249, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2401", "budget": 2492 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005250", "normalized_example_id": "ex_005250", "source_idx": 5250, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4154, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2401", "budget": 3323 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005250", "normalized_example_id": "ex_005250", "source_idx": 5250, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4154, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2401", "budget": 4154 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005250", "normalized_example_id": "ex_005250", "source_idx": 5250, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4154, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\frac{1}{3}\\left(x + 2010 - 2\\frac{x+2009}{x-1}\\right)", "budget": 4403 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005252", "normalized_example_id": "ex_005252", "source_idx": 5252, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7338, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\frac{1}{3}\\left(x + 2010 - 2\\frac{x+2009}{x-1}\\right)", "budget": 5870 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005252", "normalized_example_id": "ex_005252", "source_idx": 5252, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7338, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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) = \\frac{1}{3}\\left(x + 2010 - 2\\frac{x+2009}{x-1}\\right)", "budget": 7338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005252", "normalized_example_id": "ex_005252", "source_idx": 5252, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7338, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}", "budget": 3634 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005256", "normalized_example_id": "ex_005256", "source_idx": 5256, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6056, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}", "budget": 4845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005256", "normalized_example_id": "ex_005256", "source_idx": 5256, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6056, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}", "budget": 6056 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005256", "normalized_example_id": "ex_005256", "source_idx": 5256, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6056, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{18\\sqrt{19}}{19}", "budget": 4482 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005258", "normalized_example_id": "ex_005258", "source_idx": 5258, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7470, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{18\\sqrt{19}}{19}", "budget": 5976 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005258", "normalized_example_id": "ex_005258", "source_idx": 5258, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7470, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{18\\sqrt{19}}{19}", "budget": 7470 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005258", "normalized_example_id": "ex_005258", "source_idx": 5258, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7470, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "336", "budget": 667 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005262", "normalized_example_id": "ex_005262", "source_idx": 5262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "336", "budget": 890 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005262", "normalized_example_id": "ex_005262", "source_idx": 5262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "336", "budget": 1112 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005262", "normalized_example_id": "ex_005262", "source_idx": 5262, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1112, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 3269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005264", "normalized_example_id": "ex_005264", "source_idx": 5264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5448, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 4358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005264", "normalized_example_id": "ex_005264", "source_idx": 5264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5448, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "15", "budget": 5448 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005264", "normalized_example_id": "ex_005264", "source_idx": 5264, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5448, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2269 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005270", "normalized_example_id": "ex_005270", "source_idx": 5270, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3781, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3025 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005270", "normalized_example_id": "ex_005270", "source_idx": 5270, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3781, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3781 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005270", "normalized_example_id": "ex_005270", "source_idx": 5270, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3781, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 1566 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005272", "normalized_example_id": "ex_005272", "source_idx": 5272, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2610, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 2088 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005272", "normalized_example_id": "ex_005272", "source_idx": 5272, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2610, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "110", "budget": 2610 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005272", "normalized_example_id": "ex_005272", "source_idx": 5272, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2610, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 5362 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005273", "normalized_example_id": "ex_005273", "source_idx": 5273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8936, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 7149 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005273", "normalized_example_id": "ex_005273", "source_idx": 5273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8936, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 8936 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005273", "normalized_example_id": "ex_005273", "source_idx": 5273, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8936, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=B=C=60", "budget": 2714 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005275", "normalized_example_id": "ex_005275", "source_idx": 5275, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=B=C=60", "budget": 3619 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005275", "normalized_example_id": "ex_005275", "source_idx": 5275, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=B=C=60", "budget": 4524 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005275", "normalized_example_id": "ex_005275", "source_idx": 5275, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4524, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005276", "normalized_example_id": "ex_005276", "source_idx": 5276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2661, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2129 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005276", "normalized_example_id": "ex_005276", "source_idx": 5276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2661, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2661 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005276", "normalized_example_id": "ex_005276", "source_idx": 5276, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2661, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2351 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005290", "normalized_example_id": "ex_005290", "source_idx": 5290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3134 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005290", "normalized_example_id": "ex_005290", "source_idx": 5290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005290", "normalized_example_id": "ex_005290", "source_idx": 5290, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 4751 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005291", "normalized_example_id": "ex_005291", "source_idx": 5291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 6334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005291", "normalized_example_id": "ex_005291", "source_idx": 5291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "60", "budget": 7918 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005291", "normalized_example_id": "ex_005291", "source_idx": 5291, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7918, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 1959 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005293", "normalized_example_id": "ex_005293", "source_idx": 5293, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3265, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 2612 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005293", "normalized_example_id": "ex_005293", "source_idx": 5293, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3265, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 3265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005293", "normalized_example_id": "ex_005293", "source_idx": 5293, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3265, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "750", "budget": 868 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005296", "normalized_example_id": "ex_005296", "source_idx": 5296, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "750", "budget": 1157 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005296", "normalized_example_id": "ex_005296", "source_idx": 5296, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "750", "budget": 1446 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005296", "normalized_example_id": "ex_005296", "source_idx": 5296, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1446, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3} - 1", "budget": 5272 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005297", "normalized_example_id": "ex_005297", "source_idx": 5297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3} - 1", "budget": 7029 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005297", "normalized_example_id": "ex_005297", "source_idx": 5297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{3} - 1", "budget": 8786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005297", "normalized_example_id": "ex_005297", "source_idx": 5297, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8786, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005298", "normalized_example_id": "ex_005298", "source_idx": 5298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5364, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005298", "normalized_example_id": "ex_005298", "source_idx": 5298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5364, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5364 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005298", "normalized_example_id": "ex_005298", "source_idx": 5298, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5364, ...