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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": "576", "budget": 4304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006843", "normalized_example_id": "ex_006843", "source_idx": 6843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5380, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "576", "budget": 5380 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006843", "normalized_example_id": "ex_006843", "source_idx": 6843, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5380, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha=45", "budget": 1977 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006844", "normalized_example_id": "ex_006844", "source_idx": 6844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3295, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha=45", "budget": 2636 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006844", "normalized_example_id": "ex_006844", "source_idx": 6844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3295, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\alpha=45", "budget": 3295 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006844", "normalized_example_id": "ex_006844", "source_idx": 6844, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3295, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2} x + a^{2} k y = 0", "budget": 1925 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006847", "normalized_example_id": "ex_006847", "source_idx": 6847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3209, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2} x + a^{2} k y = 0", "budget": 2567 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006847", "normalized_example_id": "ex_006847", "source_idx": 6847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3209, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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^{2} x + a^{2} k y = 0", "budget": 3209 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006847", "normalized_example_id": "ex_006847", "source_idx": 6847, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3209, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24-8\\sqrt{5}", "budget": 4233 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006848", "normalized_example_id": "ex_006848", "source_idx": 6848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7055, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24-8\\sqrt{5}", "budget": 5644 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006848", "normalized_example_id": "ex_006848", "source_idx": 6848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7055, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "24-8\\sqrt{5}", "budget": 7055 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006848", "normalized_example_id": "ex_006848", "source_idx": 6848, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7055, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,2,2,3)", "budget": 1358 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006850", "normalized_example_id": "ex_006850", "source_idx": 6850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2263, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,2,2,3)", "budget": 1810 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006850", "normalized_example_id": "ex_006850", "source_idx": 6850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2263, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(2,2,2,3)", "budget": 2263 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006850", "normalized_example_id": "ex_006850", "source_idx": 6850, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2263, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Maria", "budget": 4982 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006853", "normalized_example_id": "ex_006853", "source_idx": 6853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8304, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Maria", "budget": 6643 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006853", "normalized_example_id": "ex_006853", "source_idx": 6853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8304, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Maria", "budget": 8304 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006853", "normalized_example_id": "ex_006853", "source_idx": 6853, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8304, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=z", "budget": 4220 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006858", "normalized_example_id": "ex_006858", "source_idx": 6858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=z", "budget": 5626 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006858", "normalized_example_id": "ex_006858", "source_idx": 6858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=z", "budget": 7033 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006858", "normalized_example_id": "ex_006858", "source_idx": 6858, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7033, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2031120", "budget": 5423 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006861", "normalized_example_id": "ex_006861", "source_idx": 6861, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2031120", "budget": 7231 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006861", "normalized_example_id": "ex_006861", "source_idx": 6861, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2031120", "budget": 9039 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006861", "normalized_example_id": "ex_006861", "source_idx": 6861, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 9039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 1805 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006864", "normalized_example_id": "ex_006864", "source_idx": 6864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3008, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 2406 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006864", "normalized_example_id": "ex_006864", "source_idx": 6864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3008, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "61", "budget": 3008 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006864", "normalized_example_id": "ex_006864", "source_idx": 6864, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3008, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2^{1001}-2}{3}-500", "budget": 2159 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006867", "normalized_example_id": "ex_006867", "source_idx": 6867, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3598, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2^{1001}-2}{3}-500", "budget": 2878 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006867", "normalized_example_id": "ex_006867", "source_idx": 6867, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3598, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{2^{1001}-2}{3}-500", "budget": 3598 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006867", "normalized_example_id": "ex_006867", "source_idx": 6867, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3598, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1817", "budget": 1166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006868", "normalized_example_id": "ex_006868", "source_idx": 6868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1944, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1817", "budget": 1555 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006868", "normalized_example_id": "ex_006868", "source_idx": 6868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1944, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "1817", "budget": 1944 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006868", "normalized_example_id": "ex_006868", "source_idx": 6868, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1944, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "73", "budget": 2167 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006869", "normalized_example_id": "ex_006869", "source_idx": 6869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3611, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "73", "budget": 2889 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006869", "normalized_example_id": "ex_006869", "source_idx": 6869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3611, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "73", "budget": 3611 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006869", "normalized_example_id": "ex_006869", "source_idx": 6869, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3611, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 1694 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006870", "normalized_example_id": "ex_006870", "source_idx": 6870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 2259 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006870", "normalized_example_id": "ex_006870", "source_idx": 6870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "19", "budget": 2824 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006870", "normalized_example_id": "ex_006870", "source_idx": 6870, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2824, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "495", "budget": 786 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006875", "normalized_example_id": "ex_006875", "source_idx": 6875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1310, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "495", "budget": 1048 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006875", "normalized_example_id": "ex_006875", "source_idx": 6875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1310, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "495", "budget": 1310 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006875", "normalized_example_id": "ex_006875", "source_idx": 6875, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1310, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=(1,1),(-1,-1),(0,1),(0,-1),(1,0),(-1,0)", "budget": 4165 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006877", "normalized_example_id": "ex_006877", "source_idx": 6877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=(1,1),(-1,-1),(0,1),(0,-1),(1,0),(-1,0)", "budget": 5554 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006877", "normalized_example_id": "ex_006877", "source_idx": 6877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)=(1,1),(-1,-1),(0,1),(0,-1),(1,0),(-1,0)", "budget": 6942 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006877", "normalized_example_id": "ex_006877", "source_idx": 6877, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6942, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.7433", "budget": 4177 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006878", "normalized_example_id": "ex_006878", "source_idx": 6878, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6961, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.7433", "budget": 5569 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006878", "normalized_example_id": "ex_006878", "source_idx": 6878, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6961, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0.7433", "budget": 6961 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006878", "normalized_example_id": "ex_006878", "source_idx": 6878, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6961, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)\\in{(-2,3),(-2,-1),(-14,3),(-14,-1)}", "budget": 1906 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006880", "normalized_example_id": "ex_006880", "source_idx": 6880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3177, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)\\in{(-2,3),(-2,-1),(-14,3),(-14,-1)}", "budget": 2542 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006880", "normalized_example_id": "ex_006880", "source_idx": 6880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3177, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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)\\in{(-2,3),(-2,-1),(-14,3),(-14,-1)}", "budget": 3177 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006880", "normalized_example_id": "ex_006880", "source_idx": 6880, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3177, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{8}", "budget": 2825 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006881", "normalized_example_id": "ex_006881", "source_idx": 6881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4709, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{8}", "budget": 3767 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006881", "normalized_example_id": "ex_006881", "source_idx": 6881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4709, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\pi}{8}", "budget": 4709 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006881", "normalized_example_id": "ex_006881", "source_idx": 6881, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4709, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2530 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006882", "normalized_example_id": "ex_006882", "source_idx": 6882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4217, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3374 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006882", "normalized_example_id": "ex_006882", "source_idx": 6882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4217, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4217 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006882", "normalized_example_id": "ex_006882", "source_idx": 6882, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4217, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2170 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006883", "normalized_example_id": "ex_006883", "source_idx": 6883, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 2894 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006883", "normalized_example_id": "ex_006883", "source_idx": 6883, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 3617 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006883", "normalized_example_id": "ex_006883", "source_idx": 6883, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3617, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "248,500,752", "budget": 1074 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006884", "normalized_example_id": "ex_006884", "source_idx": 6884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1790, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "248,500,752", "budget": 1432 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006884", "normalized_example_id": "ex_006884", "source_idx": 6884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1790, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "248,500,752", "budget": 1790 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006884", "normalized_example_id": "ex_006884", "source_idx": 6884, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1790, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63063000", "budget": 897 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006886", "normalized_example_id": "ex_006886", "source_idx": 6886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1495, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63063000", "budget": 1196 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006886", "normalized_example_id": "ex_006886", "source_idx": 6886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1495, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "63063000", "budget": 1495 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006886", "normalized_example_id": "ex_006886", "source_idx": 6886, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1495, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2047 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006887", "normalized_example_id": "ex_006887", "source_idx": 6887, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 2729 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006887", "normalized_example_id": "ex_006887", "source_idx": 6887, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "0", "budget": 3411 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006887", "normalized_example_id": "ex_006887", "source_idx": 6887, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3411, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 2941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006888", "normalized_example_id": "ex_006888", "source_idx": 6888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4902, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 3922 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006888", "normalized_example_id": "ex_006888", "source_idx": 6888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4902, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "29", "budget": 4902 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006888", "normalized_example_id": "ex_006888", "source_idx": 6888, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4902, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1765 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006890", "normalized_example_id": "ex_006890", "source_idx": 6890, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2941, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2353 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006890", "normalized_example_id": "ex_006890", "source_idx": 6890, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2941, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2941 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006890", "normalized_example_id": "ex_006890", "source_idx": 6890, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2941, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5e^{x}-2", "budget": 833 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006891", "normalized_example_id": "ex_006891", "source_idx": 6891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5e^{x}-2", "budget": 1111 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006891", "normalized_example_id": "ex_006891", "source_idx": 6891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "5e^{x}-2", "budget": 1389 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006891", "normalized_example_id": "ex_006891", "source_idx": 6891, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1389, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "121", "budget": 4166 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006892", "normalized_example_id": "ex_006892", "source_idx": 6892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "121", "budget": 5554 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006892", "normalized_example_id": "ex_006892", "source_idx": 6892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "121", "budget": 6943 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006892", "normalized_example_id": "ex_006892", "source_idx": 6892, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6943, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6106 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006900", "normalized_example_id": "ex_006900", "source_idx": 6900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10177, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8142 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006900", "normalized_example_id": "ex_006900", "source_idx": 6900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10177, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 10177 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006900", "normalized_example_id": "ex_006900", "source_idx": 6900, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 10177, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4038091", "budget": 2132 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006902", "normalized_example_id": "ex_006902", "source_idx": 6902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3554, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4038091", "budget": 2843 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006902", "normalized_example_id": "ex_006902", "source_idx": 6902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3554, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "4038091", "budget": 3554 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006902", "normalized_example_id": "ex_006902", "source_idx": 6902, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3554, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1136 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006903", "normalized_example_id": "ex_006903", "source_idx": 6903, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1514 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006903", "normalized_example_id": "ex_006903", "source_idx": 6903, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9", "budget": 1893 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006903", "normalized_example_id": "ex_006903", "source_idx": 6903, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1893, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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);(-1,0);(1,-1);(1,0)", "budget": 3488 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006906", "normalized_example_id": "ex_006906", "source_idx": 6906, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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);(-1,0);(1,-1);(1,0)", "budget": 4650 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006906", "normalized_example_id": "ex_006906", "source_idx": 6906, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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);(-1,0);(1,-1);(1,0)", "budget": 5813 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006906", "normalized_example_id": "ex_006906", "source_idx": 6906, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5813, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\sqrt{2}", "budget": 3935 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006907", "normalized_example_id": "ex_006907", "source_idx": 6907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6559, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\sqrt{2}", "budget": 5247 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006907", "normalized_example_id": "ex_006907", "source_idx": 6907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6559, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2\\sqrt{2}", "budget": 6559 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006907", "normalized_example_id": "ex_006907", "source_idx": 6907, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6559, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "399", "budget": 635 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006908", "normalized_example_id": "ex_006908", "source_idx": 6908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "399", "budget": 847 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006908", "normalized_example_id": "ex_006908", "source_idx": 6908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "399", "budget": 1059 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006908", "normalized_example_id": "ex_006908", "source_idx": 6908, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1059, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 4144 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006910", "normalized_example_id": "ex_006910", "source_idx": 6910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6907, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "D", "budget": 5526 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_006910", "normalized_example_id": "ex_006910", "source_idx": 6910, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6907, ...