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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": "0.622", "budget": 5607 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004798", "normalized_example_id": "ex_004798", "source_idx": 4798, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5607, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004802", "normalized_example_id": "ex_004802", "source_idx": 4802, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1857 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004802", "normalized_example_id": "ex_004802", "source_idx": 4802, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2321 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004802", "normalized_example_id": "ex_004802", "source_idx": 4802, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2321, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(74;592),(592;74)", "budget": 4973 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004803", "normalized_example_id": "ex_004803", "source_idx": 4803, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8289, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(74;592),(592;74)", "budget": 6631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004803", "normalized_example_id": "ex_004803", "source_idx": 4803, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8289, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(74;592),(592;74)", "budget": 8289 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004803", "normalized_example_id": "ex_004803", "source_idx": 4803, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8289, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.5", "budget": 2395 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004808", "normalized_example_id": "ex_004808", "source_idx": 4808, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3991, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.5", "budget": 3193 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004808", "normalized_example_id": "ex_004808", "source_idx": 4808, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3991, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.5", "budget": 3991 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004808", "normalized_example_id": "ex_004808", "source_idx": 4808, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3991, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 1534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004809", "normalized_example_id": "ex_004809", "source_idx": 4809, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2556, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 2045 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004809", "normalized_example_id": "ex_004809", "source_idx": 4809, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2556, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 2556 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004809", "normalized_example_id": "ex_004809", "source_idx": 4809, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2556, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3\\sqrt{7}, 0)", "budget": 1969 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004811", "normalized_example_id": "ex_004811", "source_idx": 4811, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3282, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3\\sqrt{7}, 0)", "budget": 2626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004811", "normalized_example_id": "ex_004811", "source_idx": 4811, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3282, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(3\\sqrt{7}, 0)", "budget": 3282 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004811", "normalized_example_id": "ex_004811", "source_idx": 4811, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3282, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, y) = \\left(\\frac{p-1}{2}, \\frac{p+1}{2}\\right)", "budget": 5758 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004812", "normalized_example_id": "ex_004812", "source_idx": 4812, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9597, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, y) = \\left(\\frac{p-1}{2}, \\frac{p+1}{2}\\right)", "budget": 7678 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004812", "normalized_example_id": "ex_004812", "source_idx": 4812, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9597, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, y) = \\left(\\frac{p-1}{2}, \\frac{p+1}{2}\\right)", "budget": 9597 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004812", "normalized_example_id": "ex_004812", "source_idx": 4812, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9597, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=1, b=2", "budget": 3802 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004815", "normalized_example_id": "ex_004815", "source_idx": 4815, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=1, b=2", "budget": 5070 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004815", "normalized_example_id": "ex_004815", "source_idx": 4815, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=1, b=2", "budget": 6337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004815", "normalized_example_id": "ex_004815", "source_idx": 4815, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "No", "budget": 1504 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004817", "normalized_example_id": "ex_004817", "source_idx": 4817, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2507, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "No", "budget": 2006 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004817", "normalized_example_id": "ex_004817", "source_idx": 4817, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2507, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "No", "budget": 2507 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004817", "normalized_example_id": "ex_004817", "source_idx": 4817, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2507, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5a", "budget": 2878 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004818", "normalized_example_id": "ex_004818", "source_idx": 4818, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5a", "budget": 3837 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004818", "normalized_example_id": "ex_004818", "source_idx": 4818, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5a", "budget": 4796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004818", "normalized_example_id": "ex_004818", "source_idx": 4818, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 763 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004820", "normalized_example_id": "ex_004820", "source_idx": 4820, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1271, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 1017 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004820", "normalized_example_id": "ex_004820", "source_idx": 4820, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1271, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24", "budget": 1271 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004820", "normalized_example_id": "ex_004820", "source_idx": 4820, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1271, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1.6", "budget": 1309 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004824", "normalized_example_id": "ex_004824", "source_idx": 4824, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2181, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1.6", "budget": 1745 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004824", "normalized_example_id": "ex_004824", "source_idx": 4824, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2181, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1.6", "budget": 2181 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004824", "normalized_example_id": "ex_004824", "source_idx": 4824, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2181, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 986 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004825", "normalized_example_id": "ex_004825", "source_idx": 4825, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1643, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1314 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004825", "normalized_example_id": "ex_004825", "source_idx": 4825, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1643, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1643 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004825", "normalized_example_id": "ex_004825", "source_idx": 4825, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1643, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "625\\mathrm{~}^{2}", "budget": 4268 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004829", "normalized_example_id": "ex_004829", "source_idx": 4829, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7113, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "625\\mathrm{~}^{2}", "budget": 5690 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004829", "normalized_example_id": "ex_004829", "source_idx": 4829, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7113, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "625\\mathrm{~}^{2}", "budget": 7113 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004829", "normalized_example_id": "ex_004829", "source_idx": 4829, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7113, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "310", "budget": 3511 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004830", "normalized_example_id": "ex_004830", "source_idx": 4830, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5851, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "310", "budget": 4681 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004830", "normalized_example_id": "ex_004830", "source_idx": 4830, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5851, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "310", "budget": 5851 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004830", "normalized_example_id": "ex_004830", "source_idx": 4830, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5851, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{63}{64}", "budget": 2031 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004833", "normalized_example_id": "ex_004833", "source_idx": 4833, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{63}{64}", "budget": 2708 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004833", "normalized_example_id": "ex_004833", "source_idx": 4833, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{63}{64}", "budget": 3385 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004833", "normalized_example_id": "ex_004833", "source_idx": 4833, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3385, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=63,X=3.6", "budget": 1383 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004834", "normalized_example_id": "ex_004834", "source_idx": 4834, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2305, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=63,X=3.6", "budget": 1844 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004834", "normalized_example_id": "ex_004834", "source_idx": 4834, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2305, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=63,X=3.6", "budget": 2305 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004834", "normalized_example_id": "ex_004834", "source_idx": 4834, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2305, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2545 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004835", "normalized_example_id": "ex_004835", "source_idx": 4835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4241, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3393 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004835", "normalized_example_id": "ex_004835", "source_idx": 4835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4241, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4241 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004835", "normalized_example_id": "ex_004835", "source_idx": 4835, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4241, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "384", "budget": 3004 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004838", "normalized_example_id": "ex_004838", "source_idx": 4838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5006, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "384", "budget": 4005 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004838", "normalized_example_id": "ex_004838", "source_idx": 4838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5006, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "384", "budget": 5006 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004838", "normalized_example_id": "ex_004838", "source_idx": 4838, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5006, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 3167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004839", "normalized_example_id": "ex_004839", "source_idx": 4839, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5279, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 4223 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004839", "normalized_example_id": "ex_004839", "source_idx": 4839, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5279, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "33", "budget": 5279 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004839", "normalized_example_id": "ex_004839", "source_idx": 4839, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5279, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=7,\\quady=52", "budget": 3836 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004840", "normalized_example_id": "ex_004840", "source_idx": 4840, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=7,\\quady=52", "budget": 5115 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004840", "normalized_example_id": "ex_004840", "source_idx": 4840, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=7,\\quady=52", "budget": 6394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004840", "normalized_example_id": "ex_004840", "source_idx": 4840, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 3604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004841", "normalized_example_id": "ex_004841", "source_idx": 4841, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6007, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 4806 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004841", "normalized_example_id": "ex_004841", "source_idx": 4841, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6007, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 6007 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004841", "normalized_example_id": "ex_004841", "source_idx": 4841, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6007, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "82", "budget": 867 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004842", "normalized_example_id": "ex_004842", "source_idx": 4842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "82", "budget": 1156 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004842", "normalized_example_id": "ex_004842", "source_idx": 4842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "82", "budget": 1445 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004842", "normalized_example_id": "ex_004842", "source_idx": 4842, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1445, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3568 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004844", "normalized_example_id": "ex_004844", "source_idx": 4844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4757 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004844", "normalized_example_id": "ex_004844", "source_idx": 4844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5946 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004844", "normalized_example_id": "ex_004844", "source_idx": 4844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5946, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1442 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004845", "normalized_example_id": "ex_004845", "source_idx": 4845, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2404, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 1923 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004845", "normalized_example_id": "ex_004845", "source_idx": 4845, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2404, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "45", "budget": 2404 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004845", "normalized_example_id": "ex_004845", "source_idx": 4845, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2404, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(498,498)", "budget": 6056 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004847", "normalized_example_id": "ex_004847", "source_idx": 4847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10093, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(498,498)", "budget": 8074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004847", "normalized_example_id": "ex_004847", "source_idx": 4847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10093, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(498,498)", "budget": 10093 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004847", "normalized_example_id": "ex_004847", "source_idx": 4847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10093, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 1718 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004848", "normalized_example_id": "ex_004848", "source_idx": 4848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2864, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2291 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004848", "normalized_example_id": "ex_004848", "source_idx": 4848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2864, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2864 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004848", "normalized_example_id": "ex_004848", "source_idx": 4848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2864, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 807 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004850", "normalized_example_id": "ex_004850", "source_idx": 4850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1345, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1076 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004850", "normalized_example_id": "ex_004850", "source_idx": 4850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1345, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1345 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004850", "normalized_example_id": "ex_004850", "source_idx": 4850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1345, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 3759 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004851", "normalized_example_id": "ex_004851", "source_idx": 4851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6265, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 5012 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004851", "normalized_example_id": "ex_004851", "source_idx": 4851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6265, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 6265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004851", "normalized_example_id": "ex_004851", "source_idx": 4851, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6265, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(7,9)", "budget": 3217 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004852", "normalized_example_id": "ex_004852", "source_idx": 4852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5361, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(7,9)", "budget": 4289 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004852", "normalized_example_id": "ex_004852", "source_idx": 4852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5361, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(7,9)", "budget": 5361 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004852", "normalized_example_id": "ex_004852", "source_idx": 4852, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5361, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2147 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004855", "normalized_example_id": "ex_004855", "source_idx": 4855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2863 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004855", "normalized_example_id": "ex_004855", "source_idx": 4855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3579 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004855", "normalized_example_id": "ex_004855", "source_idx": 4855, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3579, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 3571 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004857", "normalized_example_id": "ex_004857", "source_idx": 4857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 4761 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004857", "normalized_example_id": "ex_004857", "source_idx": 4857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "90", "budget": 5951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004857", "normalized_example_id": "ex_004857", "source_idx": 4857, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5951, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{3}}", "budget": 5474 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004860", "normalized_example_id": "ex_004860", "source_idx": 4860, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9123, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{3}}", "budget": 7298 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004860", "normalized_example_id": "ex_004860", "source_idx": 4860, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9123, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{\\sqrt{3}}", "budget": 9123 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004860", "normalized_example_id": "ex_004860", "source_idx": 4860, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9123, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(p, q, r, n) = (3, 2, 5, 1) \\text{ and } (p, q, r, n) = (5, 3, 2, 4)", "budget": 6020 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004862", "normalized_example_id": "ex_004862", "source_idx": 4862, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(p, q, r, n) = (3, 2, 5, 1) \\text{ and } (p, q, r, n) = (5, 3, 2, 4)", "budget": 8027 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004862", "normalized_example_id": "ex_004862", "source_idx": 4862, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10034, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(p, q, r, n) = (3, 2, 5, 1) \\text{ and } (p, q, r, n) = (5, 3, 2, 4)", "budget": 10034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_004862", "normalized_example_id": "ex_004862", "source_idx": 4862, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10034, ...