Dataset Viewer
problem
string | answer
string | responses
sequence | tokenized_prompt
string | rewards
sequence | mean_reward
float64 |
|---|---|---|---|---|---|
"Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED) |
33
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nUse the logarithmic ide(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
0,
1,
0,
0,
1,
0,
0,
0,
0,
1
] | 0.2 |
"Let $O(0,0), A(\\tfrac{1}{2}, 0),$ and $B(0, \\tfrac{\\sqrt{3}}{2})$ be points in the coordinate pl(...TRUNCATED) |
23
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nWhen two points on the (...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
"Jen enters a lottery by picking $4$ distinct numbers from $S=\\{1,2,3,\\cdots,9,10\\}.$ $4$ numbers(...TRUNCATED) |
116
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nWhen two events are ind(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
1,
0,
0,
0,
1,
0,
0,
0,
0,
1,
0,
0,
0,
0,
0,
1,
0,
0
] | 0.2 |
"Alice and Bob play the following game. A stack of $n$ tokens lies before them. The players take tur(...TRUNCATED) |
809
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nUse the “minus‐1”(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
"Eight circles of radius $34$ are sequentially tangent, and two of the circles are tangent to $AB$ a(...TRUNCATED) |
197
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nUse the general formula(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
"Define $f(x)=|| x|-\\tfrac{1}{2}|$ and $g(x)=|| x|-\\tfrac{1}{4}|$. Find the number of intersection(...TRUNCATED) |
385
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nUse the definition of t(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
"Each vertex of a regular octagon is independently colored either red or blue with equal probability(...TRUNCATED) |
371
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nThe Fundamental Countin(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
"Find the number of triples of nonnegative integers $(a,b,c)$ satisfying $a + b + c = 300$ and \\[a^(...TRUNCATED) |
601
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nWhen faced with a symme(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
"There exist real numbers $x$ and $y$, both greater than 1, such that $\\log_x\\left(y^x\\right)=\\l(...TRUNCATED) |
25
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nWhen a logarithm of a p(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
1,
0,
0,
0,
1,
0,
0,
0,
1,
0,
0
] | 0.15 |
"Alice chooses a set $A$ of positive integers. Then Bob lists all finite nonempty sets $B$ of positi(...TRUNCATED) |
55
| ["# HINT GENERATION (REASONING SUPPORT)\n\n<notes>\n<note 1>\n<description>\nWhen a problem describe(...TRUNCATED) | "<|im_start|>user\nYou are an expert problem-solving assistant tasked with analyzing and solving a g(...TRUNCATED) |
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0 |
End of preview. Expand
in Data Studio
README.md exists but content is empty.
- Downloads last month
- 27