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": "1",
"budget": 2141
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001390",
"normalized_example_id": "ex_001390",
"source_idx": 1390,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2676,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2676
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001390",
"normalized_example_id": "ex_001390",
"source_idx": 1390,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2676,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{4}-\\ln16",
"budget": 3047
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001395",
"normalized_example_id": "ex_001395",
"source_idx": 1395,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5078,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{4}-\\ln16",
"budget": 4062
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001395",
"normalized_example_id": "ex_001395",
"source_idx": 1395,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5078,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{9}{4}-\\ln16",
"budget": 5078
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001395",
"normalized_example_id": "ex_001395",
"source_idx": 1395,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5078,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{\\pi}{4}",
"budget": 2633
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001397",
"normalized_example_id": "ex_001397",
"source_idx": 1397,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4388,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{\\pi}{4}",
"budget": 3510
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001397",
"normalized_example_id": "ex_001397",
"source_idx": 1397,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4388,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{\\pi}{4}",
"budget": 4388
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001397",
"normalized_example_id": "ex_001397",
"source_idx": 1397,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4388,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(7+4\\sqrt{3})",
"budget": 2890
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001399",
"normalized_example_id": "ex_001399",
"source_idx": 1399,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4817,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(7+4\\sqrt{3})",
"budget": 3854
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001399",
"normalized_example_id": "ex_001399",
"source_idx": 1399,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4817,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(7+4\\sqrt{3})",
"budget": 4817
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001399",
"normalized_example_id": "ex_001399",
"source_idx": 1399,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4817,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1510
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001400",
"normalized_example_id": "ex_001400",
"source_idx": 1400,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2517,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2014
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001400",
"normalized_example_id": "ex_001400",
"source_idx": 1400,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2517,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2517
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001400",
"normalized_example_id": "ex_001400",
"source_idx": 1400,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2517,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n-2004)",
"budget": 2702
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001404",
"normalized_example_id": "ex_001404",
"source_idx": 1404,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4503,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n-2004)",
"budget": 3602
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001404",
"normalized_example_id": "ex_001404",
"source_idx": 1404,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4503,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(n-2004)",
"budget": 4503
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001404",
"normalized_example_id": "ex_001404",
"source_idx": 1404,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4503,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}",
"budget": 6139
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001405",
"normalized_example_id": "ex_001405",
"source_idx": 1405,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10232,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}",
"budget": 8186
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001405",
"normalized_example_id": "ex_001405",
"source_idx": 1405,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10232,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{8}",
"budget": 10232
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001405",
"normalized_example_id": "ex_001405",
"source_idx": 1405,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 10232,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "150",
"budget": 1352
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001406",
"normalized_example_id": "ex_001406",
"source_idx": 1406,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2253,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "150",
"budget": 1802
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001406",
"normalized_example_id": "ex_001406",
"source_idx": 1406,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2253,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "150",
"budget": 2253
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001406",
"normalized_example_id": "ex_001406",
"source_idx": 1406,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2253,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "90",
"budget": 2791
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001407",
"normalized_example_id": "ex_001407",
"source_idx": 1407,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4651,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "90",
"budget": 3721
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001407",
"normalized_example_id": "ex_001407",
"source_idx": 1407,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4651,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "90",
"budget": 4651
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001407",
"normalized_example_id": "ex_001407",
"source_idx": 1407,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4651,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "40",
"budget": 2200
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001408",
"normalized_example_id": "ex_001408",
"source_idx": 1408,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3667,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "40",
"budget": 2934
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001408",
"normalized_example_id": "ex_001408",
"source_idx": 1408,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3667,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "40",
"budget": 3667
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001408",
"normalized_example_id": "ex_001408",
"source_idx": 1408,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3667,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "44",
"budget": 3395
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001409",
"normalized_example_id": "ex_001409",
"source_idx": 1409,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "44",
"budget": 4526
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001409",
"normalized_example_id": "ex_001409",
"source_idx": 1409,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "44",
"budget": 5658
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001409",
"normalized_example_id": "ex_001409",
"source_idx": 1409,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(-\\infty,-3)\\cup(\\frac{1}{6},+\\infty)",
"budget": 3143
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001410",
"normalized_example_id": "ex_001410",
"source_idx": 1410,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5238,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(-\\infty,-3)\\cup(\\frac{1}{6},+\\infty)",
"budget": 4190
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001410",
"normalized_example_id": "ex_001410",
"source_idx": 1410,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5238,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(-\\infty,-3)\\cup(\\frac{1}{6},+\\infty)",
"budget": 5238
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001410",
"normalized_example_id": "ex_001410",
"source_idx": 1410,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5238,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{2}}{10}",
"budget": 1067
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001411",
"normalized_example_id": "ex_001411",
"source_idx": 1411,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1778,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{2}}{10}",
"budget": 1422
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001411",
"normalized_example_id": "ex_001411",
"source_idx": 1411,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1778,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{\\sqrt{2}}{10}",
"budget": 1778
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001411",
"normalized_example_id": "ex_001411",
"source_idx": 1411,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1778,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(\\frac{1}{2},2),(2,\\frac{1}{2})",
"budget": 2456
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001413",
"normalized_example_id": "ex_001413",
"source_idx": 1413,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4094,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(\\frac{1}{2},2),(2,\\frac{1}{2})",
"budget": 3275
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001413",
"normalized_example_id": "ex_001413",
"source_idx": 1413,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4094,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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),(\\frac{1}{2},2),(2,\\frac{1}{2})",
"budget": 4094
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001413",
"normalized_example_id": "ex_001413",
"source_idx": 1413,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4094,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "421",
"budget": 1936
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001414",
"normalized_example_id": "ex_001414",
"source_idx": 1414,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3227,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "421",
"budget": 2582
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001414",
"normalized_example_id": "ex_001414",
"source_idx": 1414,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3227,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "421",
"budget": 3227
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001414",
"normalized_example_id": "ex_001414",
"source_idx": 1414,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3227,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2, 1)",
"budget": 3963
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001417",
"normalized_example_id": "ex_001417",
"source_idx": 1417,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2, 1)",
"budget": 5284
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001417",
"normalized_example_id": "ex_001417",
"source_idx": 1417,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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, 2, 1)",
"budget": 6605
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001417",
"normalized_example_id": "ex_001417",
"source_idx": 1417,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6605,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2240
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001419",
"normalized_example_id": "ex_001419",
"source_idx": 1419,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3733,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2986
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001419",
"normalized_example_id": "ex_001419",
"source_idx": 1419,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3733,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3733
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001419",
"normalized_example_id": "ex_001419",
"source_idx": 1419,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3733,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "600",
"budget": 2020
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001420",
"normalized_example_id": "ex_001420",
"source_idx": 1420,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3367,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "600",
"budget": 2694
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001420",
"normalized_example_id": "ex_001420",
"source_idx": 1420,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3367,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "600",
"budget": 3367
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001420",
"normalized_example_id": "ex_001420",
"source_idx": 1420,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3367,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{243}",
"budget": 1674
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001422",
"normalized_example_id": "ex_001422",
"source_idx": 1422,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2790,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{243}",
"budget": 2232
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001422",
"normalized_example_id": "ex_001422",
"source_idx": 1422,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2790,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{100}{243}",
"budget": 2790
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001422",
"normalized_example_id": "ex_001422",
"source_idx": 1422,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2790,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6750001",
"budget": 3400
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001423",
"normalized_example_id": "ex_001423",
"source_idx": 1423,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5666,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6750001",
"budget": 4533
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001423",
"normalized_example_id": "ex_001423",
"source_idx": 1423,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5666,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "6750001",
"budget": 5666
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001423",
"normalized_example_id": "ex_001423",
"source_idx": 1423,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5666,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "204",
"budget": 814
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001424",
"normalized_example_id": "ex_001424",
"source_idx": 1424,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1357,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "204",
"budget": 1086
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001424",
"normalized_example_id": "ex_001424",
"source_idx": 1424,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1357,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "204",
"budget": 1357
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001424",
"normalized_example_id": "ex_001424",
"source_idx": 1424,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1357,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{0} y=p\\left(x+x_{0}\\right)",
"budget": 3046
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001426",
"normalized_example_id": "ex_001426",
"source_idx": 1426,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5076,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{0} y=p\\left(x+x_{0}\\right)",
"budget": 4061
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001426",
"normalized_example_id": "ex_001426",
"source_idx": 1426,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5076,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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_{0} y=p\\left(x+x_{0}\\right)",
"budget": 5076
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001426",
"normalized_example_id": "ex_001426",
"source_idx": 1426,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5076,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 3806
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001427",
"normalized_example_id": "ex_001427",
"source_idx": 1427,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6344,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 5075
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001427",
"normalized_example_id": "ex_001427",
"source_idx": 1427,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6344,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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",
"budget": 6344
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001427",
"normalized_example_id": "ex_001427",
"source_idx": 1427,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6344,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+i}{\\sqrt{2}}",
"budget": 5849
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001428",
"normalized_example_id": "ex_001428",
"source_idx": 1428,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9748,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+i}{\\sqrt{2}}",
"budget": 7798
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001428",
"normalized_example_id": "ex_001428",
"source_idx": 1428,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9748,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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+i}{\\sqrt{2}}",
"budget": 9748
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001428",
"normalized_example_id": "ex_001428",
"source_idx": 1428,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9748,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{8}",
"budget": 4055
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001434",
"normalized_example_id": "ex_001434",
"source_idx": 1434,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6758,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{8}",
"budget": 5406
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001434",
"normalized_example_id": "ex_001434",
"source_idx": 1434,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6758,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{7}{8}",
"budget": 6758
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001434",
"normalized_example_id": "ex_001434",
"source_idx": 1434,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6758,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "f(n) = 2^n + 2(-1)^n",
"budget": 5027
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001439",
"normalized_example_id": "ex_001439",
"source_idx": 1439,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8378,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "f(n) = 2^n + 2(-1)^n",
"budget": 6702
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001439",
"normalized_example_id": "ex_001439",
"source_idx": 1439,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8378,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "f(n) = 2^n + 2(-1)^n",
"budget": 8378
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001439",
"normalized_example_id": "ex_001439",
"source_idx": 1439,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8378,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1822
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001440",
"normalized_example_id": "ex_001440",
"source_idx": 1440,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3036,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2429
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001440",
"normalized_example_id": "ex_001440",
"source_idx": 1440,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3036,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3036
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001440",
"normalized_example_id": "ex_001440",
"source_idx": 1440,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3036,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\sqrt{2^{x}-1}",
"budget": 1824
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001441",
"normalized_example_id": "ex_001441",
"source_idx": 1441,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3040,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\sqrt{2^{x}-1}",
"budget": 2432
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001441",
"normalized_example_id": "ex_001441",
"source_idx": 1441,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3040,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\sqrt{2^{x}-1}",
"budget": 3040
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001441",
"normalized_example_id": "ex_001441",
"source_idx": 1441,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3040,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "419",
"budget": 1157
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001442",
"normalized_example_id": "ex_001442",
"source_idx": 1442,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1928,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "419",
"budget": 1542
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001442",
"normalized_example_id": "ex_001442",
"source_idx": 1442,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1928,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "419",
"budget": 1928
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001442",
"normalized_example_id": "ex_001442",
"source_idx": 1442,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1928,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\text{YES}",
"budget": 4311
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001443",
"normalized_example_id": "ex_001443",
"source_idx": 1443,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7185,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\text{YES}",
"budget": 5748
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001443",
"normalized_example_id": "ex_001443",
"source_idx": 1443,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7185,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\text{YES}",
"budget": 7185
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001443",
"normalized_example_id": "ex_001443",
"source_idx": 1443,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7185,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\sqrt{e}",
"budget": 1945
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001445",
"normalized_example_id": "ex_001445",
"source_idx": 1445,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3241,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\sqrt{e}",
"budget": 2593
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001445",
"normalized_example_id": "ex_001445",
"source_idx": 1445,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3241,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\sqrt{e}",
"budget": 3241
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001445",
"normalized_example_id": "ex_001445",
"source_idx": 1445,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3241,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "52or54",
"budget": 3480
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001446",
"normalized_example_id": "ex_001446",
"source_idx": 1446,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5800,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "52or54",
"budget": 4640
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001446",
"normalized_example_id": "ex_001446",
"source_idx": 1446,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5800,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "52or54",
"budget": 5800
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001446",
"normalized_example_id": "ex_001446",
"source_idx": 1446,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5800,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "60",
"budget": 1244
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001447",
"normalized_example_id": "ex_001447",
"source_idx": 1447,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2073,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "60",
"budget": 1658
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001447",
"normalized_example_id": "ex_001447",
"source_idx": 1447,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2073,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "60",
"budget": 2073
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001447",
"normalized_example_id": "ex_001447",
"source_idx": 1447,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2073,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3\\sqrt{13}",
"budget": 2897
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001448",
"normalized_example_id": "ex_001448",
"source_idx": 1448,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4828,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3\\sqrt{13}",
"budget": 3862
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_001448",
"normalized_example_id": "ex_001448",
"source_idx": 1448,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4828,
... |
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