question stringclasses 10
values | metadata stringclasses 10
values | task_source stringclasses 1
value | formatted_prompt listlengths 2 2 | response listlengths 1 1 | formatted_prompt__metadata listlengths 1 1 | response__metadata listlengths 1 1 | response__extractions listlengths 1 1 | response__extractions_metadata listlengths 1 1 | eval_correct listlengths 1 1 | eval_correct__metadata listlengths 1 1 |
|---|---|---|---|---|---|---|---|---|---|---|
Using ALL of the numbers 13, 85, 56, 2, 55, 53, 60, 94, 7, 1, 84, 13, create an expression that equals 311. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [13, 85, 56, 2, 55, 53, 60, 94, 7, 1, 84, 13], "target": 311, "operators_used": ["+", "+", "/", "*", "+", "-", "-", "-", "/", "-", "/"], "expression": "13 + 85 + 56 / 2 * 55 + 53 - 60 - 94 - 7 / 1 - 84 / 13"} | countdown | [
{
"content": "You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.\n\nREASON USING STRUCTURED HEURISTIC SEARCH. Do not just guess — systematically search for the answer using the format below. This is critical: use the ex... | [
"<think>\nThis is a countdown arithmetic problem with many numbers. Let me analyze:\n\nNumbers: [13, 85, 56, 2, 55, 53, 60, 94, 7, 1, 84, 13]\nTarget: 311\n\nI need to use all 12 numbers exactly once to reach 311.\n\nLet me start by understanding the magnitude:\n- 12 numbers, target is 311\n- Numbers range from 1 t... | [
{
"endpoint_type": "chat",
"litellm_function": "acompletion",
"model": "together_ai/zai-org/GLM-5",
"raw_prompt": [
{
"content": "You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.\n\nREASON US... | [
{
"cost": 0,
"finish_reason": "stop",
"input_tokens": 1161,
"model": "together_ai/zai-org/GLM-5",
"output_tokens": 3121,
"raw_response": {
"choices": [
{
"finish_reason": "stop",
"index": 0,
"message": {
"content": "[STEP 1: ANALYZE]\nT... | [
[
"13 + 56 + 2 + 55 + 53 + 60 + 94 + 84 - 85 - 13 - 7 - 1 = 311"
]
] | [
[
{
"end_index": 7437,
"end_phrase": "</answer>",
"start_index": 7360,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [
[
{
"answer_block": "13 + 56 + 2 + 55 + 53 + 60 + 94 + 84 - 85 - 13 - 7 - 1 = 311",
"error": null,
"final_answer": 311,
"is_correct": true
}
]
] |
Using ALL of the numbers 57, 3, 19, 7, 3, 70, 2, 2, 97, 2, 22, 11, create an expression that equals 130. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [57, 3, 19, 7, 3, 70, 2, 2, 97, 2, 22, 11], "target": 130, "operators_used": ["/", "/", "-", "/", "+", "-", "/", "+", "/", "*", "/"], "expression": "57 / 3 / 19 - 7 / 3 + 70 - 2 / 2 + 97 / 2 * 22 / 11"} | countdown | [
{
"content": "You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.\n\nREASON USING STRUCTURED HEURISTIC SEARCH. Do not just guess — systematically search for the answer using the format below. This is critical: use the ex... | [
"<think>\nThis is a countdown arithmetic problem. I need to use ALL of the numbers [57, 3, 19, 7, 3, 70, 2, 2, 97, 2, 22, 11] exactly once to create an expression that equals 130.\n\nLet me count the numbers: 57, 3, 19, 7, 3, 70, 2, 2, 97, 2, 22, 11\nThat's 12 numbers. Let me list them clearly:\n- 57\n- 3\n- 19\n- ... | [
{
"endpoint_type": "chat",
"litellm_function": "acompletion",
"model": "together_ai/zai-org/GLM-5",
"raw_prompt": [
{
"content": "You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.\n\nREASON US... | [
{
"cost": 0,
"finish_reason": "stop",
"input_tokens": 1160,
"model": "together_ai/zai-org/GLM-5",
"output_tokens": 3650,
"raw_response": {
"choices": [
{
"finish_reason": "stop",
"index": 0,
"message": {
"content": "[STEP 1: COMBINE]\nT... | [
[
"97 + 22 + 11 + 70 - 57 - 7 - 3 - 3 + 19 * 2 * (2 - 2) = 130"
]
] | [
[
{
"end_index": 7904,
"end_phrase": "</answer>",
"start_index": 7828,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [
[
{
"answer_block": "97 + 22 + 11 + 70 - 57 - 7 - 3 - 3 + 19 * 2 * (2 - 2) = 130",
"error": null,
"final_answer": 130,
"is_correct": true
}
]
] |
Using ALL of the numbers 29, 26, 3, 1, 1, 32, 61, 79, 99, 10, 59, 54, create an expression that equals 747. You must use each number exactly once. You may use +, -, *, /. | {"numbers": [29, 26, 3, 1, 1, 32, 61, 79, 99, 10, 59, 54], "target": 747, "operators_used": ["-", "/", "/", "/", "-", "-", "+", "+", "*", "-", "-"], "expression": "29 - 26 / 3 / 1 / 1 - 32 - 61 + 79 + 99 * 10 - 59 - 54"} | countdown | [
{
"content": "You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.\n\nREASON USING STRUCTURED HEURISTIC SEARCH. Do not just guess — systematically search for the answer using the format below. This is critical: use the ex... | [
"<think>\nThis is a challenging countdown problem with many numbers. Let me analyze what we have:\n\nNumbers: [29, 26, 3, 1, 1, 32, 61, 79, 99, 10, 59, 54]\nTarget: 747\n\nLet me start by looking at factors of 747:\n747 = 3 × 249 = 3 × 3 × 83 = 9 × 83\n\nSo if I can make 83 and 9, I could multiply them.\n\nLet me t... | [
{
"endpoint_type": "chat",
"litellm_function": "acompletion",
"model": "together_ai/zai-org/GLM-5",
"raw_prompt": [
{
"content": "You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.\n\nREASON US... | [
{
"cost": 0,
"finish_reason": "stop",
"input_tokens": 1161,
"model": "together_ai/zai-org/GLM-5",
"output_tokens": 4238,
"raw_response": {
"choices": [
{
"finish_reason": "stop",
"index": 0,
"message": {
"content": "Looking at this coun... | [
[
"3 * (99 + 61 + 59 + 29 + 1) + (79 - 54 - 26 + 1) * (32 - 10) = 747"
]
] | [
[
{
"end_index": 9242,
"end_phrase": "</answer>",
"start_index": 9159,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [
[
{
"answer_block": "3 * (99 + 61 + 59 + 29 + 1) + (79 - 54 - 26 + 1) * (32 - 10) = 747",
"error": null,
"final_answer": 747,
"is_correct": true
}
]
] |
"Using ALL of the numbers 76, 89, 81, 15, 14, 90, 99, 39, 93, 25, 16, 1, create an expression that e(...TRUNCATED) | "{\"numbers\": [76, 89, 81, 15, 14, 90, 99, 39, 93, 25, 16, 1], \"target\": 551, \"operators_used\":(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a countdown arithmetic problem with 12 numbers and a target of 551. I need to use(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1161,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"(25 - 99 + 93) * (15 + 14) + 89 - 76 + 90 - 81 - 39 + 16 + 1 = 551"
]
] | [
[
{
"end_index": 12583,
"end_phrase": "</answer>",
"start_index": 12500,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [[{"answer_block":"(25 - 99 + 93) * (15 + 14) + 89 - 76 + 90 - 81 - 39 + 16 + 1 = 551","error":null,(...TRUNCATED) |
"Using ALL of the numbers 82, 97, 63, 21, 2, 74, 1, 1, 62, 57, 44, 24, create an expression that equ(...TRUNCATED) | "{\"numbers\": [82, 97, 63, 21, 2, 74, 1, 1, 62, 57, 44, 24], \"target\": 664, \"operators_used\": [(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a complex countdown problem with 12 numbers. Let me approach this systematically.(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1161,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"(97 + 63) * ((62 - 57) - 1) + 24 + (1 - 1) * (82 + 21 + 2 + 74 + 44) = 664"
]
] | [
[
{
"end_index": 7903,
"end_phrase": "</answer>",
"start_index": 7812,
"start_phrase": "<answer>"
}
]
] | [
[
false
]
] | [[{"answer_block":"(97 + 63) * ((62 - 57) - 1) + 24 + (1 - 1) * (82 + 21 + 2 + 74 + 44) = 664","erro(...TRUNCATED) |
"Using ALL of the numbers 7, 7, 1, 1, 80, 7, 87, 11, 32, 57, 85, 85, create an expression that equal(...TRUNCATED) | "{\"numbers\": [7, 7, 1, 1, 80, 7, 87, 11, 32, 57, 85, 85], \"target\": 112, \"operators_used\": [\"(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a challenging problem with many numbers. Let me list them:\nNumbers: [7, 7, 1, 1,(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1160,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"87 + 57 - 32 + 85 - 85 + 7 - 7 + (80 - 11 - 7) * (1 - 1) = 112"
]
] | [
[
{
"end_index": 5663,
"end_phrase": "</answer>",
"start_index": 5584,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [[{"answer_block":"87 + 57 - 32 + 85 - 85 + 7 - 7 + (80 - 11 - 7) * (1 - 1) = 112","error":null,"fin(...TRUNCATED) |
"Using ALL of the numbers 52, 26, 45, 29, 28, 8, 43, 43, 47, 38, 19, 97, create an expression that e(...TRUNCATED) | "{\"numbers\": [52, 26, 45, 29, 28, 8, 43, 43, 47, 38, 19, 97], \"target\": 551, \"operators_used\":(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a challenging countdown problem with 12 numbers. Let me list them:\n- 52, 26, 45,(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1161,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"29 * 19 + (43 - 43) * 52 * 26 * 45 * 28 * 8 * 47 * 38 * 97 = 551"
]
] | [
[
{
"end_index": 10885,
"end_phrase": "</answer>",
"start_index": 10804,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [[{"answer_block":"29 * 19 + (43 - 43) * 52 * 26 * 45 * 28 * 8 * 47 * 38 * 97 = 551","error":null,"f(...TRUNCATED) |
"Using ALL of the numbers 5, 1, 5, 1, 1, 33, 72, 15, 74, 30, 34, 53, create an expression that equal(...TRUNCATED) | "{\"numbers\": [5, 1, 5, 1, 1, 33, 72, 15, 74, 30, 34, 53], \"target\": 198, \"operators_used\": [\"(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a very complex countdown problem with 12 numbers. Let me list them:\nNumbers: [5,(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1160,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"(5 + 1) * 33 + (1 - 1) * 5 * 72 * 15 * 74 * 30 * 34 * 53 = 198"
]
] | [
[
{
"end_index": 8155,
"end_phrase": "</answer>",
"start_index": 8076,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [[{"answer_block":"(5 + 1) * 33 + (1 - 1) * 5 * 72 * 15 * 74 * 30 * 34 * 53 = 198","error":null,"fin(...TRUNCATED) |
"Using ALL of the numbers 100, 47, 96, 76, 67, 58, 1, 22, 24, 3, 96, 94, create an expression that e(...TRUNCATED) | "{\"numbers\": [100, 47, 96, 76, 67, 58, 1, 22, 24, 3, 96, 94], \"target\": 147, \"operators_used\":(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a complex countdown problem with many numbers. Let me approach this systematicall(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1160,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"100 + 47 + (96 - 96) * (76 + 67 + 58 + 1 + 22 + 24 + 3 + 94) = 147"
]
] | [
[
{
"end_index": 3253,
"end_phrase": "</answer>",
"start_index": 3170,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [[{"answer_block":"100 + 47 + (96 - 96) * (76 + 67 + 58 + 1 + 22 + 24 + 3 + 94) = 147","error":null,(...TRUNCATED) |
"Using ALL of the numbers 67, 98, 18, 2, 37, 61, 69, 2, 89, 1, 53, 5, create an expression that equa(...TRUNCATED) | "{\"numbers\": [67, 98, 18, 2, 37, 61, 69, 2, 89, 1, 53, 5], \"target\": 919, \"operators_used\": [\(...TRUNCATED) | countdown | [{"content":"You are solving a countdown arithmetic problem. You must find an expression using the g(...TRUNCATED) | ["<think>\nThis is a countdown arithmetic problem with 12 numbers: [67, 98, 18, 2, 37, 61, 69, 2, 89(...TRUNCATED) | [{"endpoint_type":"chat","litellm_function":"acompletion","model":"together_ai/zai-org/GLM-5","raw_p(...TRUNCATED) | [{"cost":0.0,"finish_reason":"stop","input_tokens":1161,"model":"together_ai/zai-org/GLM-5","output_(...TRUNCATED) | [
[
"53 * (37 - 89 + 69) + 18 + 67 - 61 - 5 - 1 + 98 * (2 - 2) = 919"
]
] | [
[
{
"end_index": 10038,
"end_phrase": "</answer>",
"start_index": 9958,
"start_phrase": "<answer>"
}
]
] | [
[
true
]
] | [[{"answer_block":"53 * (37 - 89 + 69) + 18 + 67 - 61 - 5 - 1 + 98 * (2 - 2) = 919","error":null,"fi(...TRUNCATED) |
t1-structured-reasoning-full-together_ai-zai-org-glm-5-16c46443
Structured reasoning evaluation: instead of injecting synthesized facts, this uses a static system prompt that teaches the model a heuristic search FORMAT with explicit structural markers ([STEP], [PRUNE], [BACKTRACK], [REVIEW OPTIONS], [SOLUTION FOUND]).
Inspired by HandCraftedCountdownSearch — models SFT'd on structured search traces significantly outperform free-form CoT. This tests whether prompt-time format instruction alone can capture some of that benefit.
Performance Comparison
| Metric | Base | Structured | Delta |
|---|---|---|---|
| pass@1 | 0.9000 (90.0%) | 0.9000 (90.0%) | +0.0000 (+0.0%) |
Experimental Details
| Parameter | Value |
|---|---|
| Inference model | together_ai/zai-org/GLM-5 |
| Prompt style | full |
| Temperature | 0.7 |
| Top-p | 0.95 |
| Max tokens | 65536 |
| Samples per problem | 1 |
| Enable thinking | True |
| Total problems | 10 |
| Base eval source | t1-base-eval-together_ai-qwen-qwen3-235b-a22b-thinkin-12arg |
System Prompt Used (full style)
You are solving a countdown arithmetic problem. You must find an expression using the given numbers (each exactly once) that equals the target.
REASON USING STRUCTURED HEURISTIC SEARCH. Do not just guess — systematically search for the answer using the format below. This is critical: use the exact markers shown to organize your reasoning.
=== REASONING FORMAT ===
Use these markers to structure every step of your thinking:
[STEP N: COMBINE] — Try combining two numbers with an operation. Show: a OP b = result. State remaining numbers and how far from target.
[PRUNE] — BEFORE trying an operation, check if it's useful. Skip it if:
- Division doesn't produce an integer
- The result moves AWAY from target (current < target? don't subtract/divide. current > target? don't add/multiply)
Say what you're skipping and why.
[BACKTRACK] — Current path is stuck or getting worse. State why (too high? too low? no numbers left?) and go back to try a different combination.
[REVIEW OPTIONS] — When stuck, list ALL remaining possible combinations, score each by |result - target|, and pick the best one to try next.
[SOLUTION FOUND] — You hit the target! Verify: recompute the expression, confirm each number is used exactly once, then give the answer.
=== KEY HEURISTIC ===
DIRECTIONAL SEARCH: At every step, check if your current value is above or below the target.
- Below target → only try + and * (go UP)
- Above target → only try - and / (go DOWN)
This cuts your search space in half and prevents wasted exploration.
=== WORKED EXAMPLE ===
Target: 23, Numbers: [4, 7, 3]
[STEP 1: COMBINE]
Let me scan first moves. Best candidates by closeness to 23:
4 * 7 = 28 (distance 5) ← closest
4 + 7 = 11 (distance 12)
7 * 3 = 21 (distance 2) ← very close!
7 + 3 = 10 (distance 13)
Try: 7 * 3 = 21. Remaining: [4]. Current: 21, need 23.
[STEP 2: COMBINE]
Current 21 < target 23, so only try + and *.
21 + 4 = 25 (distance 2)
21 * 4 = 84 (distance 61)
[PRUNE] 21 * 4 = 84 — way t...
Dataset Info
- Rows: Structured reasoning evaluation results (one row per problem)
- Columns: question, metadata, task_source, formatted_prompt, response, eval_correct, and associated metadata
Usage
from datasets import load_dataset
dataset = load_dataset("reasoning-degeneration-dev/t1-structured-reasoning-full-together_ai-zai-org-glm-5-16c46443", split="train")
print(f"Loaded {len(dataset)} rows")
This dataset is tracked in reasoning-degeneration-dev/PROJECT-MANIFEST
- Downloads last month
- 31
