problem
stringlengths 30
862
| answer
stringlengths 1
10
| tokenized_prompt
stringlengths 80
912
| responses
listlengths 10
10
| rewards
listlengths 10
10
| mean_reward
float64 0
1
|
|---|---|---|---|---|---|
"Let $ABCD$ be a square. If sides $AB$ and $CD$ are increased by $20\\%$ and sides $AD$ and $BC$ are(...TRUNCATED)
|
-4
| "<|im_start|>user\nLet $ABCD$ be a square. If sides $AB$ and $CD$ are increased by $20\\%$ and sides(...TRUNCATED)
| ["<think>\nOkay, so I need to figure out by what percentage the area of square ABCD changes when sid(...TRUNCATED)
|
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 1
|
"\nAn investor has an open brokerage account with an investment company. In 2021, the investor recei(...TRUNCATED)
|
11050
| "<|im_start|>user\n\nAn investor has an open brokerage account with an investment company. In 2021, (...TRUNCATED)
| ["<think>\nOkay, let me try to figure out how to calculate the personal income tax (NDFL) on the inv(...TRUNCATED)
|
[
1,
1,
0,
1,
1,
1,
1,
1,
1,
1
] | 0.9
|
"\n58 balls of two colors - red and blue - are arranged in a circle. It is known that the number of (...TRUNCATED)
|
20
| "<|im_start|>user\n\n58 balls of two colors - red and blue - are arranged in a circle. It is known t(...TRUNCATED)
| ["<think>\nOkay, so I need to figure out the minimum number of red balls in a circle of 58 balls (re(...TRUNCATED)
|
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0
|
"A waiter at the restaurant U Šejdíře always adds the current date to the bill: he increases the (...TRUNCATED)
|
15
| "<|im_start|>user\nA waiter at the restaurant U Šejdíře always adds the current date to the bill:(...TRUNCATED)
| ["<think>\nOkay, let's try to figure out this problem. So, there's a waiter who adds the current dat(...TRUNCATED)
|
[
1,
1,
1,
1,
0,
1,
1,
1,
1,
1
] | 0.9
|
What would the 25th number be in a numeric system where the base is five?
|
100
| "<|im_start|>user\nWhat would the 25th number be in a numeric system where the base is five?<|im_end(...TRUNCATED)
| ["<think>\nOkay, so I need to figure out what the 25th number is in a base-five numeric system. Hmm,(...TRUNCATED)
|
[
0,
1,
0,
0,
1,
0,
0,
0,
1,
1
] | 0.4
|
"Three distinct real numbers form (in some order) a 3-term arithmetic sequence, and also form (in po(...TRUNCATED)
|
-2
| "<|im_start|>user\nThree distinct real numbers form (in some order) a 3-term arithmetic sequence, an(...TRUNCATED)
| ["<think>\nOkay, so I need to find the greatest possible value of the common ratio of a geometric se(...TRUNCATED)
|
[
0,
0,
0,
0,
0,
0,
0,
0,
0,
0
] | 0
|
"In a bike shed, there are bicycles (two wheels), tricycles, and cars (four wheels). The number of b(...TRUNCATED)
|
19
| "<|im_start|>user\nIn a bike shed, there are bicycles (two wheels), tricycles, and cars (four wheels(...TRUNCATED)
| ["<think>\nOkay, so I need to figure out how many different combinations of bicycles, tricycles, and(...TRUNCATED)
|
[
1,
1,
1,
0,
0,
0,
1,
0,
0,
1
] | 0.5
|
"A worker's salary is reduced by 30%. What percentage increase is needed on the new salary to restor(...TRUNCATED)
|
42.86\%
| "<|im_start|>user\nA worker's salary is reduced by 30%. What percentage increase is needed on the ne(...TRUNCATED)
| ["<think>\nOkay, so I need to figure out what percentage increase is needed on a salary that's been (...TRUNCATED)
|
[
1,
1,
1,
1,
1,
1,
1,
1,
1,
1
] | 1
|
"Suppose that $P(z), Q(z)$, and $R(z)$ are polynomials with real coefficients, having degrees $3$, $(...TRUNCATED)
|
1
| "<|im_start|>user\nSuppose that $P(z), Q(z)$, and $R(z)$ are polynomials with real coefficients, hav(...TRUNCATED)
| ["<think>\nOkay, so I need to figure out the minimum number of distinct complex solutions to the equ(...TRUNCATED)
|
[
0,
0,
0,
0,
1,
1,
0,
0,
0,
0
] | 0.2
|
"Given the expression $12 - (3 \\times 4)$, calculate Harry's answer, and then subtract Terry's answ(...TRUNCATED)
|
-36
| "<|im_start|>user\nGiven the expression $12 - (3 \\times 4)$, calculate Harry's answer, and then sub(...TRUNCATED)
| ["<think>\nOkay, let me try to figure out this problem. So, the question is about calculating Harry'(...TRUNCATED)
|
[
1,
0,
1,
1,
1,
1,
1,
1,
1,
1
] | 0.9
|
End of preview. Expand
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