prompt listlengths 2 2 | label dict | metadata dict |
|---|---|---|
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,5,13",
"budget": 3453
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006457",
"normalized_example_id": "ex_006457",
"source_idx": 6457,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4316,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3,5,13",
"budget": 4316
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006457",
"normalized_example_id": "ex_006457",
"source_idx": 6457,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4316,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "83",
"budget": 2132
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006460",
"normalized_example_id": "ex_006460",
"source_idx": 6460,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3553,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "83",
"budget": 2842
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006460",
"normalized_example_id": "ex_006460",
"source_idx": 6460,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3553,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "83",
"budget": 3553
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006460",
"normalized_example_id": "ex_006460",
"source_idx": 6460,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3553,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "30",
"budget": 2722
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006462",
"normalized_example_id": "ex_006462",
"source_idx": 6462,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4536,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "30",
"budget": 3629
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006462",
"normalized_example_id": "ex_006462",
"source_idx": 6462,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4536,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "30",
"budget": 4536
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006462",
"normalized_example_id": "ex_006462",
"source_idx": 6462,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4536,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4083
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006463",
"normalized_example_id": "ex_006463",
"source_idx": 6463,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6805,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5444
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006463",
"normalized_example_id": "ex_006463",
"source_idx": 6463,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6805,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6805
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006463",
"normalized_example_id": "ex_006463",
"source_idx": 6463,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6805,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3300
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006466",
"normalized_example_id": "ex_006466",
"source_idx": 6466,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5500,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4400
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006466",
"normalized_example_id": "ex_006466",
"source_idx": 6466,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5500,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 5500
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006466",
"normalized_example_id": "ex_006466",
"source_idx": 6466,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5500,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi\\sqrt{3}}{13}",
"budget": 2549
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006468",
"normalized_example_id": "ex_006468",
"source_idx": 6468,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4249,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi\\sqrt{3}}{13}",
"budget": 3399
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006468",
"normalized_example_id": "ex_006468",
"source_idx": 6468,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4249,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\pi\\sqrt{3}}{13}",
"budget": 4249
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006468",
"normalized_example_id": "ex_006468",
"source_idx": 6468,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4249,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{5}",
"budget": 3065
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006470",
"normalized_example_id": "ex_006470",
"source_idx": 6470,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5108,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{5}",
"budget": 4086
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006470",
"normalized_example_id": "ex_006470",
"source_idx": 6470,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5108,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{8}{5}",
"budget": 5108
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006470",
"normalized_example_id": "ex_006470",
"source_idx": 6470,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5108,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3721
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006471",
"normalized_example_id": "ex_006471",
"source_idx": 6471,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6202,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 4962
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006471",
"normalized_example_id": "ex_006471",
"source_idx": 6471,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6202,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6202
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006471",
"normalized_example_id": "ex_006471",
"source_idx": 6471,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6202,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9901",
"budget": 5763
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006473",
"normalized_example_id": "ex_006473",
"source_idx": 6473,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9901",
"budget": 7684
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006473",
"normalized_example_id": "ex_006473",
"source_idx": 6473,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "9901",
"budget": 9605
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006473",
"normalized_example_id": "ex_006473",
"source_idx": 6473,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}",
"budget": 1952
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006477",
"normalized_example_id": "ex_006477",
"source_idx": 6477,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3253,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}",
"budget": 2602
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006477",
"normalized_example_id": "ex_006477",
"source_idx": 6477,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3253,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{2}",
"budget": 3253
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006477",
"normalized_example_id": "ex_006477",
"source_idx": 6477,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3253,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;8;4),(-3;-2;2),(9;4;8),(-3;2;-2)}",
"budget": 1060
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006478",
"normalized_example_id": "ex_006478",
"source_idx": 6478,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1766,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;8;4),(-3;-2;2),(9;4;8),(-3;2;-2)}",
"budget": 1413
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006478",
"normalized_example_id": "ex_006478",
"source_idx": 6478,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1766,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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;8;4),(-3;-2;2),(9;4;8),(-3;2;-2)}",
"budget": 1766
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006478",
"normalized_example_id": "ex_006478",
"source_idx": 6478,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1766,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10",
"budget": 1384
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006480",
"normalized_example_id": "ex_006480",
"source_idx": 6480,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2306,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10",
"budget": 1845
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006480",
"normalized_example_id": "ex_006480",
"source_idx": 6480,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2306,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10",
"budget": 2306
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006480",
"normalized_example_id": "ex_006480",
"source_idx": 6480,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2306,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "e^{-x}(3x^{2}+x-1)",
"budget": 1595
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006481",
"normalized_example_id": "ex_006481",
"source_idx": 6481,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "e^{-x}(3x^{2}+x-1)",
"budget": 2126
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006481",
"normalized_example_id": "ex_006481",
"source_idx": 6481,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "e^{-x}(3x^{2}+x-1)",
"budget": 2658
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006481",
"normalized_example_id": "ex_006481",
"source_idx": 6481,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "324",
"budget": 2312
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006486",
"normalized_example_id": "ex_006486",
"source_idx": 6486,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3854,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "324",
"budget": 3083
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006486",
"normalized_example_id": "ex_006486",
"source_idx": 6486,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3854,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "324",
"budget": 3854
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006486",
"normalized_example_id": "ex_006486",
"source_idx": 6486,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3854,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(3,17),(17,3)",
"budget": 1568
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006487",
"normalized_example_id": "ex_006487",
"source_idx": 6487,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2614,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(3,17),(17,3)",
"budget": 2091
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006487",
"normalized_example_id": "ex_006487",
"source_idx": 6487,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2614,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(3,17),(17,3)",
"budget": 2614
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006487",
"normalized_example_id": "ex_006487",
"source_idx": 6487,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2614,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "43",
"budget": 5764
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006488",
"normalized_example_id": "ex_006488",
"source_idx": 6488,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9606,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "43",
"budget": 7685
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006488",
"normalized_example_id": "ex_006488",
"source_idx": 6488,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9606,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "43",
"budget": 9606
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006488",
"normalized_example_id": "ex_006488",
"source_idx": 6488,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9606,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3x+2\\ln|x|+\\frac{1}{2}\\ln|x-1|-\\frac{5}{2}\\ln|x+1|+C",
"budget": 1298
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006490",
"normalized_example_id": "ex_006490",
"source_idx": 6490,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2163,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3x+2\\ln|x|+\\frac{1}{2}\\ln|x-1|-\\frac{5}{2}\\ln|x+1|+C",
"budget": 1730
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006490",
"normalized_example_id": "ex_006490",
"source_idx": 6490,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2163,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3x+2\\ln|x|+\\frac{1}{2}\\ln|x-1|-\\frac{5}{2}\\ln|x+1|+C",
"budget": 2163
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006490",
"normalized_example_id": "ex_006490",
"source_idx": 6490,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2163,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.088",
"budget": 4936
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006493",
"normalized_example_id": "ex_006493",
"source_idx": 6493,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8226,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.088",
"budget": 6581
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006493",
"normalized_example_id": "ex_006493",
"source_idx": 6493,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8226,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.088",
"budget": 8226
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006493",
"normalized_example_id": "ex_006493",
"source_idx": 6493,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8226,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 1061
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006494",
"normalized_example_id": "ex_006494",
"source_idx": 6494,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1768,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 1414
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006494",
"normalized_example_id": "ex_006494",
"source_idx": 6494,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1768,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "B",
"budget": 1768
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006494",
"normalized_example_id": "ex_006494",
"source_idx": 6494,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1768,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 2992
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006495",
"normalized_example_id": "ex_006495",
"source_idx": 6495,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4987,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 3990
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006495",
"normalized_example_id": "ex_006495",
"source_idx": 6495,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4987,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 4987
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006495",
"normalized_example_id": "ex_006495",
"source_idx": 6495,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4987,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 2748
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006498",
"normalized_example_id": "ex_006498",
"source_idx": 6498,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4580,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 3664
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006498",
"normalized_example_id": "ex_006498",
"source_idx": 6498,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4580,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 4580
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006498",
"normalized_example_id": "ex_006498",
"source_idx": 6498,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4580,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "172800",
"budget": 3259
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006499",
"normalized_example_id": "ex_006499",
"source_idx": 6499,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5432,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "172800",
"budget": 4346
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006499",
"normalized_example_id": "ex_006499",
"source_idx": 6499,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5432,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "172800",
"budget": 5432
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006499",
"normalized_example_id": "ex_006499",
"source_idx": 6499,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5432,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(3,3)",
"budget": 2185
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006500",
"normalized_example_id": "ex_006500",
"source_idx": 6500,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3642,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(3,3)",
"budget": 2914
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006500",
"normalized_example_id": "ex_006500",
"source_idx": 6500,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3642,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(3,3)",
"budget": 3642
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006500",
"normalized_example_id": "ex_006500",
"source_idx": 6500,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3642,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "109",
"budget": 2211
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006502",
"normalized_example_id": "ex_006502",
"source_idx": 6502,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3685,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "109",
"budget": 2948
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006502",
"normalized_example_id": "ex_006502",
"source_idx": 6502,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3685,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "109",
"budget": 3685
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006502",
"normalized_example_id": "ex_006502",
"source_idx": 6502,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3685,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2067",
"budget": 5615
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006503",
"normalized_example_id": "ex_006503",
"source_idx": 6503,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9358,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2067",
"budget": 7486
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006503",
"normalized_example_id": "ex_006503",
"source_idx": 6503,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9358,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2067",
"budget": 9358
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006503",
"normalized_example_id": "ex_006503",
"source_idx": 6503,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9358,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "18",
"budget": 3170
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006506",
"normalized_example_id": "ex_006506",
"source_idx": 6506,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5284,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "18",
"budget": 4227
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006506",
"normalized_example_id": "ex_006506",
"source_idx": 6506,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5284,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "18",
"budget": 5284
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006506",
"normalized_example_id": "ex_006506",
"source_idx": 6506,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5284,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\geqslant\\frac{3}{8}",
"budget": 3473
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006509",
"normalized_example_id": "ex_006509",
"source_idx": 6509,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5788,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\geqslant\\frac{3}{8}",
"budget": 4630
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006509",
"normalized_example_id": "ex_006509",
"source_idx": 6509,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5788,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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\\geqslant\\frac{3}{8}",
"budget": 5788
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006509",
"normalized_example_id": "ex_006509",
"source_idx": 6509,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5788,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "n=4",
"budget": 1657
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006510",
"normalized_example_id": "ex_006510",
"source_idx": 6510,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2762,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "n=4",
"budget": 2210
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006510",
"normalized_example_id": "ex_006510",
"source_idx": 6510,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2762,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "n=4",
"budget": 2762
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006510",
"normalized_example_id": "ex_006510",
"source_idx": 6510,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2762,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "21:10",
"budget": 1796
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006515",
"normalized_example_id": "ex_006515",
"source_idx": 6515,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2993,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "21:10",
"budget": 2394
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006515",
"normalized_example_id": "ex_006515",
"source_idx": 6515,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2993,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "21:10",
"budget": 2993
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006515",
"normalized_example_id": "ex_006515",
"source_idx": 6515,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2993,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "21",
"budget": 2231
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006516",
"normalized_example_id": "ex_006516",
"source_idx": 6516,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3719,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "21",
"budget": 2975
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006516",
"normalized_example_id": "ex_006516",
"source_idx": 6516,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3719,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "21",
"budget": 3719
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006516",
"normalized_example_id": "ex_006516",
"source_idx": 6516,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3719,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3000",
"budget": 3338
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006517",
"normalized_example_id": "ex_006517",
"source_idx": 6517,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5563,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3000",
"budget": 4450
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006517",
"normalized_example_id": "ex_006517",
"source_idx": 6517,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5563,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3000",
"budget": 5563
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006517",
"normalized_example_id": "ex_006517",
"source_idx": 6517,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5563,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.625",
"budget": 2179
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006524",
"normalized_example_id": "ex_006524",
"source_idx": 6524,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3631,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.625",
"budget": 2905
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006524",
"normalized_example_id": "ex_006524",
"source_idx": 6524,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3631,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0.625",
"budget": 3631
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006524",
"normalized_example_id": "ex_006524",
"source_idx": 6524,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3631,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=8",
"budget": 5678
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006528",
"normalized_example_id": "ex_006528",
"source_idx": 6528,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9464,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=8",
"budget": 7571
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006528",
"normalized_example_id": "ex_006528",
"source_idx": 6528,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9464,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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=8",
"budget": 9464
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006528",
"normalized_example_id": "ex_006528",
"source_idx": 6528,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9464,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "y^{(n)}=\\frac{(-1)^{n-1}\\cdotn!\\cdot2^{n-1}}{(2x+3)^{n+1}}",
"budget": 5171
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006531",
"normalized_example_id": "ex_006531",
"source_idx": 6531,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8619,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "y^{(n)}=\\frac{(-1)^{n-1}\\cdotn!\\cdot2^{n-1}}{(2x+3)^{n+1}}",
"budget": 6895
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006531",
"normalized_example_id": "ex_006531",
"source_idx": 6531,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8619,
... |
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