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Suppose $\triangle ABC$ has angles $\angle BAC = 84^\circ, \angle ABC=60^\circ,$ and $\angle ACB = 36^\circ.$ Let $D, E,$ and $F$ be the midpoints of sides $\overline{BC}, \overline{AC},$ and $\overline{AB},$ respectively. The circumcircle of $\triangle DEF$ intersects $\overline{BD}, \overline{AE},$ and $\overline{AF}...
336
{"solution": "", "url": ""}
aime
aime_19
[ { "endpoint_type": "chat", "litellm_function": "acompletion", "model": "qwen/qwen3-30b-a3b-instruct-2507", "raw_prompt": [ { "content": "You are a math competition problem solver. Solve the given problem step by step. Show your work and then provide your final answer inside <answer> ta...
[ { "cost": 0, "finish_reason": "stop", "input_tokens": 258, "model": "qwen/qwen3-30b-a3b-instruct-2507", "output_tokens": 11545, "raw_response": "{\"id\": \"gen-1772173235-QI9XQK4q8vCEKf1U055Q\", \"created\": 1772173235, \"model\": \"qwen/qwen3-30b-a3b-instruct-2507\", \"object\": \"chat.comp...
[ { "content": "You are a math competition problem solver. Solve the given problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>336</answer>\n\nThe answer is always a non-negative integer.", "role": "system" }, { "content": "Suppose $\\t...
base
[ "We are given triangle $ \\triangle ABC $ with angles:\n\n- $ \\angle BAC = 84^\\circ $\n- $ \\angle ABC = 60^\\circ $\n- $ \\angle ACB = 36^\\circ $\n\nLet $ D, E, F $ be the **midpoints** of sides $ BC, AC, AB $, respectively.\n\nThen, the **circumcircle** of $ \\triangle DEF $ is considered. This circle intersec...
[ false ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
Let $N$ denote the number of ordered triples of positive integers $(a,b,c)$ such that $a,b,c \leq 3^6$ and $a^3 + b^3 + c^3$ is a multiple of $3^7$. Find the remainder when $N$ is divided by 1000.
735
{"solution": "", "url": ""}
aime
aime_14
[ { "endpoint_type": "chat", "litellm_function": "acompletion", "model": "qwen/qwen3-30b-a3b-instruct-2507", "raw_prompt": [ { "content": "You are a math competition problem solver. Solve the given problem step by step. Show your work and then provide your final answer inside <answer> ta...
[ { "cost": 0, "finish_reason": "stop", "input_tokens": 136, "model": "qwen/qwen3-30b-a3b-instruct-2507", "output_tokens": 10882, "raw_response": "{\"id\": \"gen-1772173235-wMqVIH0yGOo30UW9J0L9\", \"created\": 1772173235, \"model\": \"qwen/qwen3-30b-a3b-instruct-2507\", \"object\": \"chat.comp...
[ { "content": "You are a math competition problem solver. Solve the given problem step by step. Show your work and then provide your final answer inside <answer> tags.\n\nFor example: <answer>336</answer>\n\nThe answer is always a non-negative integer.", "role": "system" }, { "content": "Let $N$ deno...
base
[ "We are given that $ a, b, c \\leq 3^6 = 729 $, and we want to count the number of **ordered triples** $ (a, b, c) $ of **positive integers** such that:\n\n$$\na^3 + b^3 + c^3 \\equiv 0 \\pmod{3^7}\n$$\n\nand then find $ N \\mod 1000 $, where $ N $ is the number of such triples.\n\n---\n\n### Step 1: Understand the...
[ false ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"A piecewise linear periodic function is defined by\n$f(x)=\\begin{cases} x & \\text{if } x \\in [-1(...TRUNCATED)
259
{"solution": "", "url": ""}
aime
aime_10
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":261,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given a **piecewise linear periodic function** $ f(x) $ defined as:\n\n$$\nf(x) =\n\\begin{(...TRUNCATED)
[ false ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"Let $A_1A_2\\dots A_{11}$ be a non-convex $11$-gon such that \n- The area of $A_iA_1A_{i+1}$ is $1$(...TRUNCATED)
19
{"solution": "", "url": ""}
aime
aime_26
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":256,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given a non-convex 11-gon $ A_1A_2\\dots A_{11} $ with the following properties:\n\n1. For (...TRUNCATED)
[ true ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"From an unlimited supply of 1-cent coins, 10-cent coins, and 25-cent coins, Silas wants to find a c(...TRUNCATED)
610
{"solution": "", "url": ""}
aime
aime_22
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":318,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given a coin system with denominations: **1-cent**, **10-cent**, and **25-cent** coins.\n\n(...TRUNCATED)
[ true ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"The twelve letters $A$, $B$, $C$, $D$, $E$, $F$, $G$, $H$, $I$, $J$, $K$, and $L$ are randomly grou(...TRUNCATED)
821
{"solution": "", "url": ""}
aime
aime_6
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":206,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given 12 distinct letters: \n$$\nA, B, C, D, E, F, G, H, I, J, K, L\n$$ \nThese are rando(...TRUNCATED)
[ false ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"An isosceles trapezoid has an inscribed circle tangent to each of its four sides. The radius of the(...TRUNCATED)
504
{"solution": "", "url": ""}
aime
aime_5
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":147,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given:\n\n- An **isosceles trapezoid** with an **inscribed circle** (i.e., a circle tangent(...TRUNCATED)
[ true ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"Alex divides a disk into four quadrants with two perpendicular diameters intersecting at the center(...TRUNCATED)
204
{"solution": "", "url": ""}
aime
aime_12
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":142,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given a disk divided into four quadrants by two perpendicular diameters (like the x- and y-(...TRUNCATED)
[ false ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"The set of points in 3-dimensional coordinate space that lie in the plane $x + y + z = 75$ whose co(...TRUNCATED)
510
{"solution": "", "url": ""}
aime
aime_11
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":176,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given a plane in 3D space: \n$$\nx + y + z = 75\n$$ \nand a system of inequalities:\n$$\n(...TRUNCATED)
[ true ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original
"Six points $A, B, C, D, E,$ and $F$ lie in a straight line in that order. Suppose that $G$ is a poi(...TRUNCATED)
468
{"solution": "", "url": ""}
aime
aime_15
[{"endpoint_type":"chat","litellm_function":"acompletion","model":"qwen/qwen3-30b-a3b-instruct-2507"(...TRUNCATED)
[{"cost":0.0,"finish_reason":"stop","input_tokens":152,"model":"qwen/qwen3-30b-a3b-instruct-2507","o(...TRUNCATED)
[{"content":"You are a math competition problem solver. Solve the given problem step by step. Show y(...TRUNCATED)
base
["We are given six points $ A, B, C, D, E, F $ lying in a straight line in that order. Also, point $(...TRUNCATED)
[ true ]
openrouter/qwen/qwen3-30b-a3b-instruct-2507
original

t2-distill-aime-397b-128k-to-30b-instruct-base

Part of the Strategy Distillation experiment (run t2, 128K traces).

pass@1: 50% (5/10)

Original 10 AIME, no strategy.

Full Results (t2: 128K trace budget)

Condition pass@1
397B traces (128K tokens) 90% (9/10)
Instruct base (n=10) 50% (5/10)
Instruct + strategy (n=10) 30% (3/10)
Thinking base (n=10) 70% (7/10)
Thinking + strategy (n=10) 70% (7/10)
Instruct base (heldout, n=20) 55% (11/20)
Instruct + strategy (heldout, n=20) 55% (11/20)
Thinking base (heldout, n=20) 75% (15/20)
Thinking + strategy (heldout, n=20) 75% (15/20)

Usage

from datasets import load_dataset
ds = load_dataset("reasoning-degeneration-dev/t2-distill-aime-397b-128k-to-30b-instruct-base", split="train")
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