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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": "\\frac{2}{e}", "budget": 4487 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005605", "normalized_example_id": "ex_005605", "source_idx": 5605, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4487, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4223 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005608", "normalized_example_id": "ex_005608", "source_idx": 5608, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005608", "normalized_example_id": "ex_005608", "source_idx": 5608, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7039 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005608", "normalized_example_id": "ex_005608", "source_idx": 5608, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7039, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "675", "budget": 2040 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005609", "normalized_example_id": "ex_005609", "source_idx": 5609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3400, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "675", "budget": 2720 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005609", "normalized_example_id": "ex_005609", "source_idx": 5609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3400, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "675", "budget": 3400 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005609", "normalized_example_id": "ex_005609", "source_idx": 5609, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3400, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1595 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005611", "normalized_example_id": "ex_005611", "source_idx": 5611, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2127 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005611", "normalized_example_id": "ex_005611", "source_idx": 5611, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2659 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005611", "normalized_example_id": "ex_005611", "source_idx": 5611, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2659, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sin(\\cos3)}{4\\sin^{2}2x}", "budget": 1668 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005613", "normalized_example_id": "ex_005613", "source_idx": 5613, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2780, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sin(\\cos3)}{4\\sin^{2}2x}", "budget": 2224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005613", "normalized_example_id": "ex_005613", "source_idx": 5613, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2780, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sin(\\cos3)}{4\\sin^{2}2x}", "budget": 2780 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005613", "normalized_example_id": "ex_005613", "source_idx": 5613, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2780, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 1381 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005616", "normalized_example_id": "ex_005616", "source_idx": 5616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 1841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005616", "normalized_example_id": "ex_005616", "source_idx": 5616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{3}{2}", "budget": 2301 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005616", "normalized_example_id": "ex_005616", "source_idx": 5616, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2301, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2008", "budget": 2275 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005623", "normalized_example_id": "ex_005623", "source_idx": 5623, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2008", "budget": 3034 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005623", "normalized_example_id": "ex_005623", "source_idx": 5623, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "2008", "budget": 3792 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005623", "normalized_example_id": "ex_005623", "source_idx": 5623, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3792, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4766 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005624", "normalized_example_id": "ex_005624", "source_idx": 5624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7944, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6355 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005624", "normalized_example_id": "ex_005624", "source_idx": 5624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7944, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 7944 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005624", "normalized_example_id": "ex_005624", "source_idx": 5624, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7944, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "781", "budget": 1003 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005627", "normalized_example_id": "ex_005627", "source_idx": 5627, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "781", "budget": 1338 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005627", "normalized_example_id": "ex_005627", "source_idx": 5627, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "781", "budget": 1672 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005627", "normalized_example_id": "ex_005627", "source_idx": 5627, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1672, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9801", "budget": 3263 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005631", "normalized_example_id": "ex_005631", "source_idx": 5631, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5438, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9801", "budget": 4350 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005631", "normalized_example_id": "ex_005631", "source_idx": 5631, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5438, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "9801", "budget": 5438 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005631", "normalized_example_id": "ex_005631", "source_idx": 5631, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5438, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.75\\sqrt{7}\\mathrm{~}^{2}", "budget": 2471 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005632", "normalized_example_id": "ex_005632", "source_idx": 5632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4118, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.75\\sqrt{7}\\mathrm{~}^{2}", "budget": 3294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005632", "normalized_example_id": "ex_005632", "source_idx": 5632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4118, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "3.75\\sqrt{7}\\mathrm{~}^{2}", "budget": 4118 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005632", "normalized_example_id": "ex_005632", "source_idx": 5632, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4118, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 631 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005633", "normalized_example_id": "ex_005633", "source_idx": 5633, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1051, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 841 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005633", "normalized_example_id": "ex_005633", "source_idx": 5633, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1051, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1051 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005633", "normalized_example_id": "ex_005633", "source_idx": 5633, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1051, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,0,2)", "budget": 5019 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005634", "normalized_example_id": "ex_005634", "source_idx": 5634, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,0,2)", "budget": 6692 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005634", "normalized_example_id": "ex_005634", "source_idx": 5634, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "(1,0,2)", "budget": 8365 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005634", "normalized_example_id": "ex_005634", "source_idx": 5634, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 8365, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 2576 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005635", "normalized_example_id": "ex_005635", "source_idx": 5635, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 3435 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005635", "normalized_example_id": "ex_005635", "source_idx": 5635, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "25", "budget": 4294 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005635", "normalized_example_id": "ex_005635", "source_idx": 5635, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4294, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{1-x}", "budget": 1808 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005636", "normalized_example_id": "ex_005636", "source_idx": 5636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{1-x}", "budget": 2410 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005636", "normalized_example_id": "ex_005636", "source_idx": 5636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{1}{1-x}", "budget": 3013 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005636", "normalized_example_id": "ex_005636", "source_idx": 5636, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3013, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{5}", "budget": 2035 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005637", "normalized_example_id": "ex_005637", "source_idx": 5637, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{5}", "budget": 2713 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005637", "normalized_example_id": "ex_005637", "source_idx": 5637, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{5}", "budget": 3391 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005637", "normalized_example_id": "ex_005637", "source_idx": 5637, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3391, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{n}=n!(1-\\frac{1}{1!}+\\frac{1}{2!}+\\cdots+\\frac{(-1)^{n}}{n!})", "budget": 1939 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005638", "normalized_example_id": "ex_005638", "source_idx": 5638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3231, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{n}=n!(1-\\frac{1}{1!}+\\frac{1}{2!}+\\cdots+\\frac{(-1)^{n}}{n!})", "budget": 2585 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005638", "normalized_example_id": "ex_005638", "source_idx": 5638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3231, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{n}=n!(1-\\frac{1}{1!}+\\frac{1}{2!}+\\cdots+\\frac{(-1)^{n}}{n!})", "budget": 3231 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005638", "normalized_example_id": "ex_005638", "source_idx": 5638, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 3231, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Omar", "budget": 1334 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005641", "normalized_example_id": "ex_005641", "source_idx": 5641, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2224, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Omar", "budget": 1779 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005641", "normalized_example_id": "ex_005641", "source_idx": 5641, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2224, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "Omar", "budget": 2224 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005641", "normalized_example_id": "ex_005641", "source_idx": 5641, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 2224, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 3288 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005642", "normalized_example_id": "ex_005642", "source_idx": 5642, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5480, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 4384 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005642", "normalized_example_id": "ex_005642", "source_idx": 5642, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5480, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8", "budget": 5480 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005642", "normalized_example_id": "ex_005642", "source_idx": 5642, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5480, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{3}", "budget": 3435 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005643", "normalized_example_id": "ex_005643", "source_idx": 5643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5725, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{3}", "budget": 4580 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005643", "normalized_example_id": "ex_005643", "source_idx": 5643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5725, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\frac{4}{3}", "budget": 5725 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005643", "normalized_example_id": "ex_005643", "source_idx": 5643, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5725, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3388 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005645", "normalized_example_id": "ex_005645", "source_idx": 5645, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5646, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4517 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005645", "normalized_example_id": "ex_005645", "source_idx": 5645, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5646, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5646 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005645", "normalized_example_id": "ex_005645", "source_idx": 5645, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5646, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 2452 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005646", "normalized_example_id": "ex_005646", "source_idx": 5646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4087, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 3270 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005646", "normalized_example_id": "ex_005646", "source_idx": 5646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4087, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "12", "budget": 4087 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005646", "normalized_example_id": "ex_005646", "source_idx": 5646, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4087, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6=1\\cdot6=2\\cdot3", "budget": 3434 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005649", "normalized_example_id": "ex_005649", "source_idx": 5649, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6=1\\cdot6=2\\cdot3", "budget": 4578 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005649", "normalized_example_id": "ex_005649", "source_idx": 5649, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "6=1\\cdot6=2\\cdot3", "budget": 5723 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005649", "normalized_example_id": "ex_005649", "source_idx": 5649, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5723, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3236 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005650", "normalized_example_id": "ex_005650", "source_idx": 5650, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4315 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005650", "normalized_example_id": "ex_005650", "source_idx": 5650, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005650", "normalized_example_id": "ex_005650", "source_idx": 5650, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 5394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 4327 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005652", "normalized_example_id": "ex_005652", "source_idx": 5652, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 5770 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005652", "normalized_example_id": "ex_005652", "source_idx": 5652, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "16", "budget": 7212 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005652", "normalized_example_id": "ex_005652", "source_idx": 5652, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 7212, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 1043 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005653", "normalized_example_id": "ex_005653", "source_idx": 5653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1738, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 1390 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005653", "normalized_example_id": "ex_005653", "source_idx": 5653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1738, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "14", "budget": 1738 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005653", "normalized_example_id": "ex_005653", "source_idx": 5653, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1738, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot2^{n}", "budget": 3898 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005655", "normalized_example_id": "ex_005655", "source_idx": 5655, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6497, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot2^{n}", "budget": 5198 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005655", "normalized_example_id": "ex_005655", "source_idx": 5655, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6497, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\cdot2^{n}", "budget": 6497 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005655", "normalized_example_id": "ex_005655", "source_idx": 5655, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6497, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 790 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005660", "normalized_example_id": "ex_005660", "source_idx": 5660, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1317, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1054 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005660", "normalized_example_id": "ex_005660", "source_idx": 5660, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1317, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1317 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005660", "normalized_example_id": "ex_005660", "source_idx": 5660, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1317, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8 \\text{ and } 20", "budget": 3872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005663", "normalized_example_id": "ex_005663", "source_idx": 5663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6454, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8 \\text{ and } 20", "budget": 5163 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005663", "normalized_example_id": "ex_005663", "source_idx": 5663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6454, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "8 \\text{ and } 20", "budget": 6454 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005663", "normalized_example_id": "ex_005663", "source_idx": 5663, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6454, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2604 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005664", "normalized_example_id": "ex_005664", "source_idx": 5664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4340, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3472 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005664", "normalized_example_id": "ex_005664", "source_idx": 5664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4340, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4340 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005664", "normalized_example_id": "ex_005664", "source_idx": 5664, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4340, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1016 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005667", "normalized_example_id": "ex_005667", "source_idx": 5667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1693, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1354 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005667", "normalized_example_id": "ex_005667", "source_idx": 5667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1693, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1693 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005667", "normalized_example_id": "ex_005667", "source_idx": 5667, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 1693, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\lfloor\\frac{n^2}{4}\\rfloor", "budget": 2636 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005668", "normalized_example_id": "ex_005668", "source_idx": 5668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\lfloor\\frac{n^2}{4}\\rfloor", "budget": 3515 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005668", "normalized_example_id": "ex_005668", "source_idx": 5668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "\\lfloor\\frac{n^2}{4}\\rfloor", "budget": 4394 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005668", "normalized_example_id": "ex_005668", "source_idx": 5668, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4394, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 2531 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005669", "normalized_example_id": "ex_005669", "source_idx": 5669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4219, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 3375 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005669", "normalized_example_id": "ex_005669", "source_idx": 5669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4219, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "20", "budget": 4219 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005669", "normalized_example_id": "ex_005669", "source_idx": 5669, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 4219, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "157", "budget": 3654 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005671", "normalized_example_id": "ex_005671", "source_idx": 5671, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6090, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "157", "budget": 4872 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005671", "normalized_example_id": "ex_005671", "source_idx": 5671, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6090, ...
[ { "role": "system", "content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro...
{ "answer": "157", "budget": 6090 }
{ "data_type": "full_prompt_per_prompt_calibrated_budget", "source_example_id": "ex_005671", "normalized_example_id": "ex_005671", "source_idx": 5671, "augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget", "budget_source": "per_prompt_calibrated_length_ratios", "calibrated_length": 6090, ...