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": "2997",
"budget": 7915
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005958",
"normalized_example_id": "ex_005958",
"source_idx": 5958,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7915,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 5715
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005959",
"normalized_example_id": "ex_005959",
"source_idx": 5959,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9525,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 7620
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005959",
"normalized_example_id": "ex_005959",
"source_idx": 5959,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9525,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "4",
"budget": 9525
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005959",
"normalized_example_id": "ex_005959",
"source_idx": 5959,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9525,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "66",
"budget": 1636
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005960",
"normalized_example_id": "ex_005960",
"source_idx": 5960,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2727,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "66",
"budget": 2182
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005960",
"normalized_example_id": "ex_005960",
"source_idx": 5960,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2727,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "66",
"budget": 2727
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005960",
"normalized_example_id": "ex_005960",
"source_idx": 5960,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2727,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "19801",
"budget": 3160
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005961",
"normalized_example_id": "ex_005961",
"source_idx": 5961,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5267,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "19801",
"budget": 4214
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005961",
"normalized_example_id": "ex_005961",
"source_idx": 5961,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5267,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "19801",
"budget": 5267
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005961",
"normalized_example_id": "ex_005961",
"source_idx": 5961,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5267,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "S_{n}=3S_{n-1}-2S_{n-2}-1",
"budget": 4333
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005970",
"normalized_example_id": "ex_005970",
"source_idx": 5970,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7221,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "S_{n}=3S_{n-1}-2S_{n-2}-1",
"budget": 5777
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005970",
"normalized_example_id": "ex_005970",
"source_idx": 5970,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7221,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "S_{n}=3S_{n-1}-2S_{n-2}-1",
"budget": 7221
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005970",
"normalized_example_id": "ex_005970",
"source_idx": 5970,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7221,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "34",
"budget": 3284
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005972",
"normalized_example_id": "ex_005972",
"source_idx": 5972,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5473,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "34",
"budget": 4378
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005972",
"normalized_example_id": "ex_005972",
"source_idx": 5972,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5473,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "34",
"budget": 5473
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005972",
"normalized_example_id": "ex_005972",
"source_idx": 5972,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5473,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "93",
"budget": 4875
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005975",
"normalized_example_id": "ex_005975",
"source_idx": 5975,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8125,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "93",
"budget": 6500
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005975",
"normalized_example_id": "ex_005975",
"source_idx": 5975,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8125,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "93",
"budget": 8125
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005975",
"normalized_example_id": "ex_005975",
"source_idx": 5975,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8125,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "165",
"budget": 2365
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005976",
"normalized_example_id": "ex_005976",
"source_idx": 5976,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3942,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "165",
"budget": 3154
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005976",
"normalized_example_id": "ex_005976",
"source_idx": 5976,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3942,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "165",
"budget": 3942
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005976",
"normalized_example_id": "ex_005976",
"source_idx": 5976,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3942,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "60x-225",
"budget": 2229
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005977",
"normalized_example_id": "ex_005977",
"source_idx": 5977,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3715,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "60x-225",
"budget": 2972
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005977",
"normalized_example_id": "ex_005977",
"source_idx": 5977,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3715,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "60x-225",
"budget": 3715
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005977",
"normalized_example_id": "ex_005977",
"source_idx": 5977,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3715,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "15",
"budget": 3374
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005979",
"normalized_example_id": "ex_005979",
"source_idx": 5979,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5623,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "15",
"budget": 4498
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005979",
"normalized_example_id": "ex_005979",
"source_idx": 5979,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5623,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "15",
"budget": 5623
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005979",
"normalized_example_id": "ex_005979",
"source_idx": 5979,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5623,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{9}",
"budget": 917
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005981",
"normalized_example_id": "ex_005981",
"source_idx": 5981,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1529,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{9}",
"budget": 1223
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005981",
"normalized_example_id": "ex_005981",
"source_idx": 5981,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1529,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}{9}",
"budget": 1529
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005981",
"normalized_example_id": "ex_005981",
"source_idx": 5981,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1529,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = y = z = 3",
"budget": 3508
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005982",
"normalized_example_id": "ex_005982",
"source_idx": 5982,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5846,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = y = z = 3",
"budget": 4677
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005982",
"normalized_example_id": "ex_005982",
"source_idx": 5982,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5846,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "x = y = z = 3",
"budget": 5846
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005982",
"normalized_example_id": "ex_005982",
"source_idx": 5982,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5846,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1999998",
"budget": 5568
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005983",
"normalized_example_id": "ex_005983",
"source_idx": 5983,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9280,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1999998",
"budget": 7424
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005983",
"normalized_example_id": "ex_005983",
"source_idx": 5983,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9280,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "1999998",
"budget": 9280
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005983",
"normalized_example_id": "ex_005983",
"source_idx": 5983,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9280,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "17",
"budget": 2195
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005984",
"normalized_example_id": "ex_005984",
"source_idx": 5984,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "17",
"budget": 2926
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005984",
"normalized_example_id": "ex_005984",
"source_idx": 5984,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "17",
"budget": 3658
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005984",
"normalized_example_id": "ex_005984",
"source_idx": 5984,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3658,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "7",
"budget": 2719
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005985",
"normalized_example_id": "ex_005985",
"source_idx": 5985,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4532,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "7",
"budget": 3626
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005985",
"normalized_example_id": "ex_005985",
"source_idx": 5985,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4532,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "7",
"budget": 4532
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005985",
"normalized_example_id": "ex_005985",
"source_idx": 5985,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4532,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2053
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005987",
"normalized_example_id": "ex_005987",
"source_idx": 5987,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3421,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2737
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005987",
"normalized_example_id": "ex_005987",
"source_idx": 5987,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3421,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 3421
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005987",
"normalized_example_id": "ex_005987",
"source_idx": 5987,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3421,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "a_n = \\frac{n(n + 3)}{2} + 1",
"budget": 2539
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005988",
"normalized_example_id": "ex_005988",
"source_idx": 5988,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4231,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "a_n = \\frac{n(n + 3)}{2} + 1",
"budget": 3385
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005988",
"normalized_example_id": "ex_005988",
"source_idx": 5988,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4231,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "a_n = \\frac{n(n + 3)}{2} + 1",
"budget": 4231
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005988",
"normalized_example_id": "ex_005988",
"source_idx": 5988,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4231,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "400",
"budget": 4526
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005990",
"normalized_example_id": "ex_005990",
"source_idx": 5990,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7543,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "400",
"budget": 6034
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005990",
"normalized_example_id": "ex_005990",
"source_idx": 5990,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7543,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "400",
"budget": 7543
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005990",
"normalized_example_id": "ex_005990",
"source_idx": 5990,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7543,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "964",
"budget": 1019
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005991",
"normalized_example_id": "ex_005991",
"source_idx": 5991,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1699,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "964",
"budget": 1359
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005991",
"normalized_example_id": "ex_005991",
"source_idx": 5991,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1699,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "964",
"budget": 1699
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005991",
"normalized_example_id": "ex_005991",
"source_idx": 5991,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1699,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(6,6,6),(5,5,10),(4,8,8),(3,12,12),(3,7,42),(3,8,24),(3,9,18),(3,10,15),(4,5,20),(4,6,12)",
"budget": 5885
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005996",
"normalized_example_id": "ex_005996",
"source_idx": 5996,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9808,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(6,6,6),(5,5,10),(4,8,8),(3,12,12),(3,7,42),(3,8,24),(3,9,18),(3,10,15),(4,5,20),(4,6,12)",
"budget": 7846
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005996",
"normalized_example_id": "ex_005996",
"source_idx": 5996,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9808,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "(6,6,6),(5,5,10),(4,8,8),(3,12,12),(3,7,42),(3,8,24),(3,9,18),(3,10,15),(4,5,20),(4,6,12)",
"budget": 9808
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005996",
"normalized_example_id": "ex_005996",
"source_idx": 5996,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 9808,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2015",
"budget": 3590
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005997",
"normalized_example_id": "ex_005997",
"source_idx": 5997,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5984,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2015",
"budget": 4787
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005997",
"normalized_example_id": "ex_005997",
"source_idx": 5997,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5984,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2015",
"budget": 5984
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005997",
"normalized_example_id": "ex_005997",
"source_idx": 5997,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5984,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 1414
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005998",
"normalized_example_id": "ex_005998",
"source_idx": 5998,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 1885
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005998",
"normalized_example_id": "ex_005998",
"source_idx": 5998,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 2356
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005998",
"normalized_example_id": "ex_005998",
"source_idx": 5998,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2356,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 2462
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005999",
"normalized_example_id": "ex_005999",
"source_idx": 5999,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4103,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 3282
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005999",
"normalized_example_id": "ex_005999",
"source_idx": 5999,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4103,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "3",
"budget": 4103
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_005999",
"normalized_example_id": "ex_005999",
"source_idx": 5999,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4103,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{5\\sqrt{30}}{3}",
"budget": 3872
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006000",
"normalized_example_id": "ex_006000",
"source_idx": 6000,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6454,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{5\\sqrt{30}}{3}",
"budget": 5163
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006000",
"normalized_example_id": "ex_006000",
"source_idx": 6000,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6454,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "\\frac{5\\sqrt{30}}{3}",
"budget": 6454
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006000",
"normalized_example_id": "ex_006000",
"source_idx": 6000,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 6454,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "12",
"budget": 5001
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006002",
"normalized_example_id": "ex_006002",
"source_idx": 6002,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8335,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 6668
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006002",
"normalized_example_id": "ex_006002",
"source_idx": 6002,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8335,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 8335
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006002",
"normalized_example_id": "ex_006002",
"source_idx": 6002,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 8335,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\sqrt{11},\\quad\\frac{1}{2}\\sqrt{31},\\quad\\frac{1}{2}\\sqrt{51},\\quad\\frac{1}{2}\\sqrt{71}",
"budget": 3081
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006004",
"normalized_example_id": "ex_006004",
"source_idx": 6004,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5135,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\sqrt{11},\\quad\\frac{1}{2}\\sqrt{31},\\quad\\frac{1}{2}\\sqrt{51},\\quad\\frac{1}{2}\\sqrt{71}",
"budget": 4108
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006004",
"normalized_example_id": "ex_006004",
"source_idx": 6004,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5135,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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}\\sqrt{11},\\quad\\frac{1}{2}\\sqrt{31},\\quad\\frac{1}{2}\\sqrt{51},\\quad\\frac{1}{2}\\sqrt{71}",
"budget": 5135
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006004",
"normalized_example_id": "ex_006004",
"source_idx": 6004,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 5135,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1422
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006005",
"normalized_example_id": "ex_006005",
"source_idx": 6005,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2370,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1896
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006005",
"normalized_example_id": "ex_006005",
"source_idx": 6005,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2370,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2370
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006005",
"normalized_example_id": "ex_006005",
"source_idx": 6005,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2370,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 1443
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006006",
"normalized_example_id": "ex_006006",
"source_idx": 6006,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2405,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 1924
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006006",
"normalized_example_id": "ex_006006",
"source_idx": 6006,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2405,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 2405
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006006",
"normalized_example_id": "ex_006006",
"source_idx": 6006,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2405,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "a_{n}=(2^{1}-1)^{2}\\cdots(2^{n}-1)^{2}",
"budget": 4699
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006008",
"normalized_example_id": "ex_006008",
"source_idx": 6008,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7832,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "a_{n}=(2^{1}-1)^{2}\\cdots(2^{n}-1)^{2}",
"budget": 6266
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006008",
"normalized_example_id": "ex_006008",
"source_idx": 6008,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7832,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "a_{n}=(2^{1}-1)^{2}\\cdots(2^{n}-1)^{2}",
"budget": 7832
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006008",
"normalized_example_id": "ex_006008",
"source_idx": 6008,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 7832,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 2003
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006011",
"normalized_example_id": "ex_006011",
"source_idx": 6011,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3338,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 2670
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006011",
"normalized_example_id": "ex_006011",
"source_idx": 6011,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3338,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "0",
"budget": 3338
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006011",
"normalized_example_id": "ex_006011",
"source_idx": 6011,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 3338,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{31}{8}",
"budget": 2609
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006014",
"normalized_example_id": "ex_006014",
"source_idx": 6014,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4348,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{31}{8}",
"budget": 3478
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006014",
"normalized_example_id": "ex_006014",
"source_idx": 6014,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4348,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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{31}{8}",
"budget": 4348
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006014",
"normalized_example_id": "ex_006014",
"source_idx": 6014,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4348,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^{n+1}-2",
"budget": 950
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006016",
"normalized_example_id": "ex_006016",
"source_idx": 6016,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1584,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^{n+1}-2",
"budget": 1267
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006016",
"normalized_example_id": "ex_006016",
"source_idx": 6016,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1584,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "2^{n+1}-2",
"budget": 1584
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006016",
"normalized_example_id": "ex_006016",
"source_idx": 6016,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 1584,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1315
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006017",
"normalized_example_id": "ex_006017",
"source_idx": 6017,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2191,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 1753
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006017",
"normalized_example_id": "ex_006017",
"source_idx": 6017,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2191,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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": 2191
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006017",
"normalized_example_id": "ex_006017",
"source_idx": 6017,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 2191,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step 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(N^{2}-1)",
"budget": 2845
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006019",
"normalized_example_id": "ex_006019",
"source_idx": 6019,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4741,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10(N^{2}-1)",
"budget": 3793
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006019",
"normalized_example_id": "ex_006019",
"source_idx": 6019,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4741,
... |
[
{
"role": "system",
"content": "You are a reasoning control agent that guides a step-by-step mathematical reasoner.\n\nEach turn you receive the reasoner's latest step and the remaining token budget (as a percentage). On the first turn you receive the question instead. Considering the reasoner's current pro... | {
"answer": "10(N^{2}-1)",
"budget": 4741
} | {
"data_type": "full_prompt_per_prompt_calibrated_budget",
"source_example_id": "ex_006019",
"normalized_example_id": "ex_006019",
"source_idx": 6019,
"augmentation": "online_rl_full_prompt_per_prompt_calibrated_budget",
"budget_source": "per_prompt_calibrated_length_ratios",
"calibrated_length": 4741,
... |
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