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8
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Consider a c...
0
false
45^{\circ}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given vector...
0
false
\frac{8 \sqrt{2}}{35}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the mas...
0
false
(90, 168)
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The real num...
0
false
14
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user For how many...
0
false
8
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let \( A = \...
0
false
2.9
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The U.S. pro...
0
false
30,000
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user A fertilizer...
0
false
30,000
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user A fertilizer...
0
false
\frac{56}{3}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user If for a rea...
0
false
\dfrac{x^{2}}{5} + \dfrac{y^{2}}{4} = 1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user If the foci ...
0
false
\frac{9}{5}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Solve for $x...
0
false
1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user In the Carte...
0
false
19
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user What is the ...
0
false
23
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The mean of ...
0
false
123456789
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Samson write...
0
false
2i
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The complex ...
0
false
31
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The national...
0
false
\sqrt{341}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let \(\mathb...
0
false
333.33
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Subtract $23...
0
false
- (x - y)^6
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given the bi...
0
false
254
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Calculate th...
0
false
f(b-2) < f(a+1)
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given an eve...
0
false
\frac{4}{9}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user If an arc of...
0
false
0
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Calculate $2...
0
false
-2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given that $...
0
false
287232
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the 6-d...
0
false
48
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Assume we ha...
0
false
p = 3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find all pri...
0
false
p = 3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find all pri...
0
false
p = 3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find all pri...
0
false
55
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user A survey of ...
0
false
x = 0, 3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let \( f(x) ...
0
false
x = 0, 3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let \( f(x) ...
0
false
9
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user For a positi...
0
false
9
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The sum of t...
0
false
\frac{\sqrt{2}}{3}-\frac{1}{2}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given that $...
0
false
3, 5, 7, 9
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Four girls p...
0
false
-51x + 52
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the rem...
0
false
5040
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user In how many ...
0
false
1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user How many num...
0
false
384
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user What is the ...
0
false
\frac{3}{2}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Simplify $\f...
0
false
1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $f(x) = ...
0
false
1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $f(x) = ...
0
false
1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $f(x) = ...
0
false
2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Determine ho...
0
false
\frac{10}{3}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Suppose func...
0
false
91
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Compute $\fr...
0
false
5
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user It is known ...
0
false
20^\circ
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Start with a...
0
false
13
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $\star (...
0
false
9
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user If $n$ is $1...
0
false
226
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Positive int...
0
false
117
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user In a game of...
0
false
83
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The table be...
0
false
2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given that t...
0
false
2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given that t...
0
false
-1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Simplify and...
0
false
\{1,3,5\}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given the se...
0
false
\frac{34}{3}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Points $A,B,...
0
false
\frac{-1 + \sqrt{365}}{13}, \frac{-1 - \sqrt{365}}{13}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find all rea...
0
false
15
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Alice is pre...
0
false
3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $m = \un...
0
false
4
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The courier ...
0
false
\frac{4}{11}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user A bag contai...
0
false
360\text{ degrees}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user In a diagram...
0
false
30
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Among the nu...
0
false
2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user How many way...
0
false
117
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user An arithmeti...
0
false
[-2,3]
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user $18.$ Given ...
0
false
-1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $i$ be t...
0
false
-1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $i$ be t...
0
false
\frac{\pi}{26}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the sma...
0
false
11
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user In the geome...
0
false
x = -4p + 3q + r
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Write the de...
0
false
0.244
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The average ...
0
false
\frac{1}{2}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given the fu...
0
false
198
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user We form a nu...
0
false
198
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user We form a nu...
0
false
\frac{\sqrt{85}}{3}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Determine th...
0
false
-84
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the coe...
0
false
2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given the eq...
0
false
2
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user How many rea...
0
false
\frac {7 \sqrt {3}-24}{50}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Given the fu...
0
false
18
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user What is the ...
0
false
80
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user A fruit has ...
0
false
(165, 116)
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $\mathbf...
0
false
0
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user The square o...
0
false
n = 11
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user A fruit stan...
0
false
\frac{2n}{n+1}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Consider the...
0
false
8
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Calculate th...
0
false
8
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Calculate th...
0
false
3
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the coe...
0
false
\frac{131}{512}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user There exist ...
0
false
\text{Any even } m > 1
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user For which in...
0
false
23
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Find the val...
0
false
\sqrt{265}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user What is the ...
0
false
\frac{22}{7}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Let $\lfloo...
0
false
\sqrt{3}
<|im_start|>system You are a mathematical reasoning assistant. For each problem, follow these steps strictly: 1. Solve the problem using step-by-step reasoning and output the final answer within \boxed{}. Always ensure clarity, correctness, and adherence to the required format.<|im_end|> <|im_start|>user Calculate: $...
0
false