Datasets:

ZachW
/

qwen3-8b_creativemath-with-answers

task_id stringlengths 26 34	input stringlengths 189 1.32k	raw_output stringlengths 2.56k 133k	thinking_content stringlengths 1.78k 92.6k ⌀	final_answer stringlengths 598 133k	finish_reason stringclasses 2 values	prompt_tokens int64 56 650	completion_tokens int64 755 32.8k	max_tokens int64 32.8k 32.8k
AMC_12__2012_AMC_12A_Problems__p21	Let $a$, $b$, and $c$ be positive integers with $a\ge$ $b\ge$ $c$ such that $a^2-b^2-c^2+ab=2011$ and $a^2+3b^2+3c^2-3ab-2ac-2bc=-1997$. What is $a$? $\textbf{(A)}\ 249\qquad\textbf{(B)}\ 250\qquad\textbf{(C)}\ 251\qquad\textbf{(D)}\ 252\qquad\textbf{(E)}\ 253$ Please reason step by step, and put your final answer wit...	<think> Okay, so I need to solve this problem where I have two equations with three variables, a, b, c, all positive integers with a ≥ b ≥ c. The equations are: 1. $ a^2 - b^2 - c^2 + ab = 2011 $ 2. $ a^2 + 3b^2 + 3c^2 - 3ab - 2ac - 2bc = -1997 $ And I need to find the value of a, with options given from 249 to 253. ...	Okay, so I need to solve this problem where I have two equations with three variables, a, b, c, all positive integers with a ≥ b ≥ c. The equations are: 1. $ a^2 - b^2 - c^2 + ab = 2011 $ 2. $ a^2 + 3b^2 + 3c^2 - 3ab - 2ac - 2bc = -1997 $ And I need to find the value of a, with options given from 249 to 253. Let me ...	To solve the given system of equations: $$ \begin{cases} a^2 - b^2 - c^2 + ab = 2011 \quad \text{(1)} \\ a^2 + 3b^2 + 3c^2 - 3ab - 2ac - 2bc = -1997 \quad \text{(2)} \end{cases} $$ with the constraints that $ a, b, c $ are positive integers and $ a \ge b \ge c $, we aim to find the value of $ a $. --- ### Step ...	stop	178	6,786	32,768
AMC_10__2014_AMC_10A_Problems__p3	Bridget bakes 48 loaves of bread for her bakery. She sells half of them in the morning for $\textdollar 2.50$ each. In the afternoon she sells two thirds of what she has left, and because they are not fresh, she charges only half price. In the late afternoon she sells the remaining loaves at a dollar each. Each loaf co...	<think> Okay, let me try to figure out Bridget's profit for the day. Hmm, so she bakes 48 loaves of bread. Let me start by breaking down the problem step by step. First, she sells half of them in the morning. So, half of 48 is... let me calculate that. Half of 48 is 24. So she sells 24 loaves in the morning at $2.50 ...	Okay, let me try to figure out Bridget's profit for the day. Hmm, so she bakes 48 loaves of bread. Let me start by breaking down the problem step by step. First, she sells half of them in the morning. So, half of 48 is... let me calculate that. Half of 48 is 24. So she sells 24 loaves in the morning at $2.50 each. L...	To determine Bridget's profit for the day, we need to calculate her total revenue from selling the loaves and subtract her total cost of making them. --- ### Step 1: Total Loaves Baked Bridget bakes 48 loaves of bread. --- ### Step 2: Sales Breakdown #### Morning Sales - She sells half ...	stop	195	4,016	32,768
AMC_12__2018_AMC_12A_Problems__p6	For positive integers $m$ and $n$ such that $m+10<n+1$, both the mean and the median of the set $\{m, m+4, m+10, n+1, n+2, 2n\}$ are equal to $n$. What is $m+n$? $\textbf{(A)}20\qquad\textbf{(B)}21\qquad\textbf{(C)}22\qquad\textbf{(D)}23\qquad\textbf{(E)}24$ Please reason step by step, and put your final answer within...	<think> Okay, so I need to solve this problem where we have two positive integers m and n. The conditions given are that m + 10 < n + 1, which simplifies to m < n - 9. Also, both the mean and the median of the set {m, m+4, m+10, n+1, n+2, 2n} are equal to n. We need to find m + n. The answer choices are from 20 to 24, ...	Okay, so I need to solve this problem where we have two positive integers m and n. The conditions given are that m + 10 < n + 1, which simplifies to m < n - 9. Also, both the mean and the median of the set {m, m+4, m+10, n+1, n+2, 2n} are equal to n. We need to find m + n. The answer choices are from 20 to 24, so mayb...	To solve the problem, we are given a set of six numbers: $$ \{m, m+4, m+10, n+1, n+2, 2n\} $$ with the conditions: - $ m + 10 < n + 1 $, which simplifies to $ m < n - 9 $ - The mean of the set is equal to $ n $ - The median of the set is also equal to $ n $ We are to find the value of $ m + n $, and the ans...	stop	147	6,442	32,768
USAMO__2019_USAMO_Problems__p4	"Let $n$ be a nonnegative integer. Determine the number of ways that one can choose $(n+1)^2$ sets $(...TRUNCATED)	"<think>\nOkay, so I need to figure out the number of ways to choose $(n+1)^2$ sets $S_{i,j}$ where (...TRUNCATED)	"\nOkay, so I need to figure out the number of ways to choose $(n+1)^2$ sets $S_{i,j}$ where each $S(...TRUNCATED)	"To solve the problem, we are given a grid of $(n+1)^2$ sets $S_{i,j}$, indexed by $0 \\leq i, j \\l(...TRUNCATED)	stop	177	17,363	32,768
AMC_8__1996_AJHSME_Problems__p25	"A point is chosen at random from within a circular region. What is the probability that the point (...TRUNCATED)	"<think>\nOkay, so I need to find the probability that a randomly chosen point inside a circular reg(...TRUNCATED)	"\nOkay, so I need to find the probability that a randomly chosen point inside a circular region is (...TRUNCATED)	"To solve the problem, we consider a circular region of radius $ R $, and we are to find the **p(...TRUNCATED)	stop	136	5,113	32,768
AIME__2004_AIME_II_Problems__p3	"A solid rectangular block is formed by gluing together $N$ congruent 1-cm cubes face to face. When (...TRUNCATED)	"<think>\nOkay, so I need to find the smallest possible value of N, where N is the number of 1-cm cu(...TRUNCATED)	"\nOkay, so I need to find the smallest possible value of N, where N is the number of 1-cm cubes in (...TRUNCATED)	"To solve the problem, we are given a solid rectangular block made up of $ N $ unit cubes, and when (...TRUNCATED)	stop	90	8,678	32,768
AHSME__1979_AHSME_Problems__p8	"Find the area of the smallest region bounded by the graphs of $y=\|x\|$ and $x^2+y^2=4$.\n$\\textbf{((...TRUNCATED)	"<think>\nOkay, so I need to find the area of the smallest region bounded by the graphs of y = \|x\| a(...TRUNCATED)	"\nOkay, so I need to find the area of the smallest region bounded by the graphs of y = \|x\| and x² (...TRUNCATED)	"To find the smallest region bounded by the graphs of $ y = \|x\| $ and $ x^2 + y^2 = 4 $, we begi(...TRUNCATED)	stop	126	10,601	32,768
AMC_10__2002_AMC_10A_Problems__p2	"Given that a, b, and c are non-zero real numbers, define $(a, b, c) = \\frac{a}{b} + \\frac{b}{c} +(...TRUNCATED)	"<think>\nOkay, so I need to find the value of (2, 12, 9) where this operation is defined as (a, b, (...TRUNCATED)	"\nOkay, so I need to find the value of (2, 12, 9) where this operation is defined as (a, b, c) = a/(...TRUNCATED)	"To solve the problem, we are given a custom operation defined as:\n\n$$\n(a, b, c) = \\frac{a}{b} +(...TRUNCATED)	stop	142	2,774	32,768
AMC_10__2005_AMC_10A_Problems__p11	"A wooden cube $n$ units on a side is painted red on all six faces and then cut into $n^3$ unit cube(...TRUNCATED)	"<think>\nOkay, so I need to solve this problem about a wooden cube that's painted red on all six fa(...TRUNCATED)	"\nOkay, so I need to solve this problem about a wooden cube that's painted red on all six faces, th(...TRUNCATED)	"To solve the problem, we begin by analyzing the structure and properties of the cube and its unit c(...TRUNCATED)	stop	135	2,982	32,768
AHSME__1960_AHSME_Problems__p15	"Triangle $I$ is equilateral with side $A$, perimeter $P$, area $K$, and circumradius $R$ (radius of(...TRUNCATED)	"<think>\nOkay, so I need to figure out this problem about two equilateral triangles, Triangle I and(...TRUNCATED)	"\nOkay, so I need to figure out this problem about two equilateral triangles, Triangle I and Triang(...TRUNCATED)	"To solve this problem, we analyze the relationships between the perimeters, areas, and circumradii (...TRUNCATED)	stop	223	4,507	32,768

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Qwen/Qwen3-8B — creativemath-with-answers

Model outputs from the micro-creativity inference suite.

Model: Qwen/Qwen3-8B
Dataset: creativemath-with-answers (188 items)
Part of collection: ZachW/llm-creativity-benchmarks

Generation config

temperature: 0.0
max_tokens:  32768
seed:        42
backend:     vllm

Columns

Column	Description
`task_id`	Unique task identifier
`input`	The exact prompt sent to the model (after meta-prompt application)
`raw_output`	Full model output string
`thinking_content`	Extracted chain-of-thought / thinking block (null for non-thinking models)
`final_answer`	Extracted final answer after thinking is removed
`finish_reason`	`stop` (completed) or `length` (truncated at max_tokens)
`prompt_tokens`	Number of tokens in the prompt
`completion_tokens`	Number of tokens generated
`temperature`	Sampling temperature used
`max_tokens`	Token generation limit

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