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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": "83", "budget": 3010 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007437", "normalized_example_id": "ex_007437", "source_idx": 7437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3763, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "83", "budget": 3763 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007437", "normalized_example_id": "ex_007437", "source_idx": 7437, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3763, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{55}{162}", "budget": 4951 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007439", "normalized_example_id": "ex_007439", "source_idx": 7439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{55}{162}", "budget": 6601 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007439", "normalized_example_id": "ex_007439", "source_idx": 7439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{55}{162}", "budget": 8251 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007439", "normalized_example_id": "ex_007439", "source_idx": 7439, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8251, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 3490 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007440", "normalized_example_id": "ex_007440", "source_idx": 7440, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5816, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 4653 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007440", "normalized_example_id": "ex_007440", "source_idx": 7440, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5816, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "40", "budget": 5816 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007440", "normalized_example_id": "ex_007440", "source_idx": 7440, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5816, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 3615 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007444", "normalized_example_id": "ex_007444", "source_idx": 7444, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6025, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 4820 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007444", "normalized_example_id": "ex_007444", "source_idx": 7444, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6025, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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", "budget": 6025 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007444", "normalized_example_id": "ex_007444", "source_idx": 7444, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6025, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 3409 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007445", "normalized_example_id": "ex_007445", "source_idx": 7445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 4546 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007445", "normalized_example_id": "ex_007445", "source_idx": 7445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "30", "budget": 5682 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007445", "normalized_example_id": "ex_007445", "source_idx": 7445, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5682, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 4191 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007446", "normalized_example_id": "ex_007446", "source_idx": 7446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6985, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 5588 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007446", "normalized_example_id": "ex_007446", "source_idx": 7446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6985, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5", "budget": 6985 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007446", "normalized_example_id": "ex_007446", "source_idx": 7446, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6985, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "832040", "budget": 6107 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007448", "normalized_example_id": "ex_007448", "source_idx": 7448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10178, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "832040", "budget": 8142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007448", "normalized_example_id": "ex_007448", "source_idx": 7448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10178, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "832040", "budget": 10178 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007448", "normalized_example_id": "ex_007448", "source_idx": 7448, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10178, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "119", "budget": 5464 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007449", "normalized_example_id": "ex_007449", "source_idx": 7449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9107, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "119", "budget": 7286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007449", "normalized_example_id": "ex_007449", "source_idx": 7449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9107, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "119", "budget": 9107 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007449", "normalized_example_id": "ex_007449", "source_idx": 7449, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9107, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "250", "budget": 2845 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007451", "normalized_example_id": "ex_007451", "source_idx": 7451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4741, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "250", "budget": 3793 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007451", "normalized_example_id": "ex_007451", "source_idx": 7451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4741, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "250", "budget": 4741 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007451", "normalized_example_id": "ex_007451", "source_idx": 7451, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4741, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19or20", "budget": 5116 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007452", "normalized_example_id": "ex_007452", "source_idx": 7452, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19or20", "budget": 6821 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007452", "normalized_example_id": "ex_007452", "source_idx": 7452, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19or20", "budget": 8526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007452", "normalized_example_id": "ex_007452", "source_idx": 7452, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8526, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 3478 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007453", "normalized_example_id": "ex_007453", "source_idx": 7453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 4637 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007453", "normalized_example_id": "ex_007453", "source_idx": 7453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "7", "budget": 5796 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007453", "normalized_example_id": "ex_007453", "source_idx": 7453, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5796, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "41", "budget": 5842 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007454", "normalized_example_id": "ex_007454", "source_idx": 7454, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9737, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "41", "budget": 7790 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007454", "normalized_example_id": "ex_007454", "source_idx": 7454, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9737, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "41", "budget": 9737 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007454", "normalized_example_id": "ex_007454", "source_idx": 7454, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9737, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3087", "budget": 1534 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007456", "normalized_example_id": "ex_007456", "source_idx": 7456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2557, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3087", "budget": 2046 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007456", "normalized_example_id": "ex_007456", "source_idx": 7456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2557, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3087", "budget": 2557 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007456", "normalized_example_id": "ex_007456", "source_idx": 7456, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2557, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "21", "budget": 2083 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007457", "normalized_example_id": "ex_007457", "source_idx": 7457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "21", "budget": 2778 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007457", "normalized_example_id": "ex_007457", "source_idx": 7457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "21", "budget": 3472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007457", "normalized_example_id": "ex_007457", "source_idx": 7457, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3472, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4012}{2007}", "budget": 3338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007460", "normalized_example_id": "ex_007460", "source_idx": 7460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5564, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4012}{2007}", "budget": 4451 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007460", "normalized_example_id": "ex_007460", "source_idx": 7460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5564, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{4012}{2007}", "budget": 5564 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007460", "normalized_example_id": "ex_007460", "source_idx": 7460, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5564, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9:30", "budget": 5880 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007461", "normalized_example_id": "ex_007461", "source_idx": 7461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9800, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9:30", "budget": 7840 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007461", "normalized_example_id": "ex_007461", "source_idx": 7461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9800, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9:30", "budget": 9800 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007461", "normalized_example_id": "ex_007461", "source_idx": 7461, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9800, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2(x-1)", "budget": 4699 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007466", "normalized_example_id": "ex_007466", "source_idx": 7466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2(x-1)", "budget": 6265 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007466", "normalized_example_id": "ex_007466", "source_idx": 7466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2(x-1)", "budget": 7831 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007466", "normalized_example_id": "ex_007466", "source_idx": 7466, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7831, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007467", "normalized_example_id": "ex_007467", "source_idx": 7467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007467", "normalized_example_id": "ex_007467", "source_idx": 7467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7424 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007467", "normalized_example_id": "ex_007467", "source_idx": 7467, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7424, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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:(1+\\sqrt{3}): \\sqrt{6}", "budget": 2647 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007469", "normalized_example_id": "ex_007469", "source_idx": 7469, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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:(1+\\sqrt{3}): \\sqrt{6}", "budget": 3529 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007469", "normalized_example_id": "ex_007469", "source_idx": 7469, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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:(1+\\sqrt{3}): \\sqrt{6}", "budget": 4411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007469", "normalized_example_id": "ex_007469", "source_idx": 7469, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\in (-\\infty, 0) \\cup (0, \\frac{1}{2}] \\cup [2, +\\infty)", "budget": 3596 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007470", "normalized_example_id": "ex_007470", "source_idx": 7470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\in (-\\infty, 0) \\cup (0, \\frac{1}{2}] \\cup [2, +\\infty)", "budget": 4795 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007470", "normalized_example_id": "ex_007470", "source_idx": 7470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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 \\in (-\\infty, 0) \\cup (0, \\frac{1}{2}] \\cup [2, +\\infty)", "budget": 5994 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007470", "normalized_example_id": "ex_007470", "source_idx": 7470, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5994, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n(n-4)(n-5)}{6}", "budget": 3055 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007471", "normalized_example_id": "ex_007471", "source_idx": 7471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n(n-4)(n-5)}{6}", "budget": 4074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007471", "normalized_example_id": "ex_007471", "source_idx": 7471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{n(n-4)(n-5)}{6}", "budget": 5092 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007471", "normalized_example_id": "ex_007471", "source_idx": 7471, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5092, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2572 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007472", "normalized_example_id": "ex_007472", "source_idx": 7472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4286, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3429 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007472", "normalized_example_id": "ex_007472", "source_idx": 7472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4286, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4286 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007472", "normalized_example_id": "ex_007472", "source_idx": 7472, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4286, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\{(11, 8, 5), (8, 11, 5), (8, 5, 11), (5, 8, 11), (11, 5, 8), (5, 11, 8)\\}", "budget": 3156 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007477", "normalized_example_id": "ex_007477", "source_idx": 7477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\{(11, 8, 5), (8, 11, 5), (8, 5, 11), (5, 8, 11), (11, 5, 8), (5, 11, 8)\\}", "budget": 4208 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007477", "normalized_example_id": "ex_007477", "source_idx": 7477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\{(11, 8, 5), (8, 11, 5), (8, 5, 11), (5, 8, 11), (11, 5, 8), (5, 11, 8)\\}", "budget": 5260 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007477", "normalized_example_id": "ex_007477", "source_idx": 7477, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5260, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2761 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007480", "normalized_example_id": "ex_007480", "source_idx": 7480, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4602, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3682 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007480", "normalized_example_id": "ex_007480", "source_idx": 7480, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4602, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4602 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007480", "normalized_example_id": "ex_007480", "source_idx": 7480, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4602, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1/128<1/100", "budget": 2002 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007484", "normalized_example_id": "ex_007484", "source_idx": 7484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1/128<1/100", "budget": 2670 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007484", "normalized_example_id": "ex_007484", "source_idx": 7484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1/128<1/100", "budget": 3337 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007484", "normalized_example_id": "ex_007484", "source_idx": 7484, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3337, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^n", "budget": 5218 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007485", "normalized_example_id": "ex_007485", "source_idx": 7485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8696, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^n", "budget": 6957 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007485", "normalized_example_id": "ex_007485", "source_idx": 7485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8696, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^n", "budget": 8696 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007485", "normalized_example_id": "ex_007485", "source_idx": 7485, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8696, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1583 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007488", "normalized_example_id": "ex_007488", "source_idx": 7488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2639, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2111 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007488", "normalized_example_id": "ex_007488", "source_idx": 7488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2639, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2639 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007488", "normalized_example_id": "ex_007488", "source_idx": 7488, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2639, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 2290 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007493", "normalized_example_id": "ex_007493", "source_idx": 7493, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3817, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 3054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007493", "normalized_example_id": "ex_007493", "source_idx": 7493, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3817, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "B", "budget": 3817 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007493", "normalized_example_id": "ex_007493", "source_idx": 7493, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3817, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3653 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007495", "normalized_example_id": "ex_007495", "source_idx": 7495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6089, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4871 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007495", "normalized_example_id": "ex_007495", "source_idx": 7495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6089, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6089 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007495", "normalized_example_id": "ex_007495", "source_idx": 7495, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6089, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x_{1}=2", "budget": 3971 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007498", "normalized_example_id": "ex_007498", "source_idx": 7498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6619, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x_{1}=2", "budget": 5295 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007498", "normalized_example_id": "ex_007498", "source_idx": 7498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6619, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "x_{1}=2", "budget": 6619 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007498", "normalized_example_id": "ex_007498", "source_idx": 7498, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6619, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 2024 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007499", "normalized_example_id": "ex_007499", "source_idx": 7499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3374, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 2699 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007499", "normalized_example_id": "ex_007499", "source_idx": 7499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3374, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "C", "budget": 3374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_007499", "normalized_example_id": "ex_007499", "source_idx": 7499, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3374, ...