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[ "2024-II-12", "2024-II-13", "2024-II-1", "2024-II-5", "2024-I-12", "2024-II-15", "2024-I-10", "2024-II-9", "2024-I-8", "2024-I-2" ]
Solve these 10 independent questions sequentially. Work on exactly one active question at a time. Complete that question's hierarchical reasoning with a local Finalization that returns exactly one boxed answer, then proceed to the next question. Do not perform a global model Finalization; the local boxed answers will b...
[ { "step_id": 1, "cognitive_mode": "ProblemUnderstanding", "subgoal": "[Question 1] Parametrize the family \\mathcal{F} by the angle the segment makes with the x-axis and write the resulting line equation, identifying which parameter value gives \\overline{AB}", "deliverable": "[Question 1] A one-par...
[ "11", "...", "73", "200", "4", "27", "16", "2", "331", "4" ]
[ "23", "321", "73", "80", "385", "315", "113", "902", "197", "25" ]
[ false, false, true, false, false, false, false, false, false, false ]
[ "2024-I-13", "2024-I-6", "2024-I-2", "2024-II-3", "2024-II-7", "2024-I-7", "2024-I-5", "2024-II-15", "2024-II-2", "2024-II-1" ]
Solve these 10 independent questions sequentially. Work on exactly one active question at a time. Complete that question's hierarchical reasoning with a local Finalization that returns exactly one boxed answer, then proceed to the next question. Do not perform a global model Finalization; the local boxed answers will b...
[ { "step_id": 1, "cognitive_mode": "DeepReasoning", "subgoal": "[Question 1] Set up the congruence condition on p and reduce it to a statement about p^2 - 1", "deliverable": "[Question 1] The equivalence characterizing exactly which primes p allow p^2 | n^4 + 1", "success_criterion": "[Question 1...
[ "5", "29400", "25", "45", "7", "21", "...", "21", "342", "67" ]
[ "110", "294", "25", "45", "699", "540", "104", "315", "236", "73" ]
[ false, false, true, true, false, false, false, false, false, false ]
[ "2024-II-15", "2024-I-2", "2024-I-8", "2024-I-11", "2024-II-12", "2024-I-10", "2024-I-4", "2024-I-9", "2024-II-1", "2024-II-10" ]
Solve these 10 independent questions sequentially. Work on exactly one active question at a time. Complete that question's hierarchical reasoning with a local Finalization that returns exactly one boxed answer, then proceed to the next question. Do not perform a global model Finalization; the local boxed answers will b...
[ { "step_id": 1, "cognitive_mode": "ProblemUnderstanding", "subgoal": "[Question 1] Sort the 12 sides/diagonals of the regular 12-gon into parallel families and identify which configurations of parallel sides can host a rectangle", "deliverable": "[Question 1] The list of parallel families of sides w...
[ "36", "25", "331", "257", "5", "37", "89", "97", "447", "..." ]
[ "315", "25", "197", "371", "23", "113", "116", "480", "73", "468" ]
[ false, true, false, false, false, false, false, false, false, false ]
["2024-I-11","2024-II-1","2024-I-4","2024-II-9","2024-I-3","2024-I-10","2024-II-7","2024-I-5","2024-(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate the rotation(...TRUNCATED)
[ "33", "73", "20", "8", "404", "11", "28", "313", "21,840", "..." ]
[ "371", "73", "116", "902", "809", "113", "699", "104", "294", "127" ]
[ false, true, false, false, false, false, false, false, false, false ]
["2024-I-15","2024-II-11","2024-I-6","2024-II-7","2024-II-13","2024-I-5","2024-II-10","2024-II-12","(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate the two box (...TRUNCATED)
[ "399", "1", "C(15,4)", "7519", "623", "325", "...", "2", "285", "13" ]
[ "721", "601", "294", "699", "321", "104", "468", "23", "236", "110" ]
[ false, false, false, false, false, false, false, false, false, false ]
["2024-I-10","2024-I-3","2024-II-15","2024-II-4","2024-I-1","2024-II-5","2024-II-1","2024-II-7","202(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Record the tangent-ang(...TRUNCATED)
[ "...", "197", "24", "33", "3.27\\text{ m}", "100", "70", "699", "50", "419" ]
[ "113", "809", "315", "33", "204", "80", "73", "699", "902", "371" ]
[ false, false, false, true, false, false, false, true, false, false ]
["2024-I-14","2024-I-13","2024-II-4","2024-II-3","2024-I-9","2024-I-4","2024-II-7","2024-I-8","2024-(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Extract the six square(...TRUNCATED)
[ "113", "110", "33", "0", "64", "8", "1291", "101", "246", "11" ]
[ "104", "110", "33", "45", "480", "116", "699", "197", "236", "113" ]
[ false, true, true, false, false, false, false, false, false, false ]
["2024-II-15","2024-II-1","2024-II-14","2024-I-14","2024-II-10","2024-I-6","2024-I-9","2024-I-1","20(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Sort the 12 sides/diag(...TRUNCATED)
[ "90", "73", "101", "101", "...", "140", "80", "119", "2024", "..." ]
[ "315", "73", "211", "104", "468", "294", "480", "204", "55", "371" ]
[ false, true, false, false, false, false, false, false, false, false ]
["2024-I-6","2024-II-1","2024-I-12","2024-I-13","2024-II-12","2024-II-2","2024-II-3","2024-I-1","202(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate 'changes dir(...TRUNCATED)
[ "70", "73", "1", "17", "3", "396", "45", "144", "103", "6" ]
[ "294", "73", "385", "110", "23", "236", "45", "204", "113", "55" ]
[ false, true, false, false, false, false, true, false, false, false ]
["2024-II-9","2024-II-11","2024-II-3","2024-II-15","2024-II-4","2024-II-13","2024-I-6","2024-I-13","(...TRUNCATED)
"Solve these 10 independent questions sequentially. Work on exactly one active question at a time. C(...TRUNCATED)
[{"step_id":1,"cognitive_mode":"ProblemUnderstanding","subgoal":"[Question 1] Translate the three gr(...TRUNCATED)
[ "25", "1", "45", "66", "23", "...", "384", "10", "314", "404" ]
[ "902", "601", "45", "315", "33", "321", "294", "110", "197", "809" ]
[ false, false, true, false, false, false, false, false, false, false ]

MLR-Concat10 Output

This dataset contains MLR_model generated hierarchical reasoning traces for the MLR-Concat10 long-horizon reasoning benchmark. Each record contains one prompt with 10 independent questions, the structured reasoning trace produced while solving them in sequence, predicted answers, gold answers, and per-question correctness labels.

It accompanies the long-horizon reasoning setting in Enhancing Language Model Reasoning with Structured Multi-Level Modeling (ICLR 2026).

Configurations

Config Source questions Output records Questions per record Tested models Accuracy
math500_qwen_1.5b MATH500 10 10 MLR_executor_Qwen-1.5B, MLR_planner_Qwen-1.5B-LoRA 50%
aime24_qwen_1.5b AIME24 10 10 MLR_executor_Qwen-1.5B, MLR_planner_Qwen-1.5B-LoRA 13%
mixture_qwen_1.5b MATH500, AIME24, GPQA-diamond, and BoardGameQA-Hard 10 10 MLR_executor_Qwen-1.5B, MLR_planner_Qwen-1.5B-LoRA 41%

Data format

Each JSONL row has the following fields:

Field Type Description
ids list[string] Source-question identifiers, in prompt order.
problem string The concatenated prompt containing 10 numbered questions.
steps list[object] Structured reasoning trace across all questions. Each step contains step_id, cognitive_mode, subgoal, deliverable, success_criterion, and execution.
pred_answers list[string] Model predictions, one per question and aligned with ids.
gold_answers list[string] Reference answers, one per question and aligned with ids.
correct list[bool] Per-question correctness labels comparing pred_answers with gold_answers.

Loading

from datasets import load_dataset

ds = load_dataset("sxiong/MLR_concat10_output", "math500_qwen_1.5b", split="train")
example = ds[0]

trace = example["steps"]
predictions = example["pred_answers"]
references = example["gold_answers"]
correctness = example["correct"]

Citation

@inproceedings{xiong2026enhancing,
  title={Enhancing language model reasoning with structured multi-level modeling},
  author={Xiong, Siheng and Payani, Ali and Fekri, Faramarz},
  booktitle={International Conference on Learning Representations},
  volume={2026},
  pages={36557--36610},
  year={2026}
}
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