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int64 0
29
| response_id
int64 0
63
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stringclasses 30
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stringclasses 29
values | response
stringlengths 2.31k
151k
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classes | prediction
stringlengths 1
901
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int64 871
32.8k
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32.8k
|
|---|---|---|---|---|---|---|---|---|---|
0
| 0
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I have this problem with three equations involving logarithms and variables x, y, z. I nee(...TRUNCATED)
| true
|
33
| 4,889
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-0.5513298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 1
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I have this problem with three equations and I need to find the value of the absolute valu(...TRUNCATED)
| false
|
16
| 2,402
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-0.5513298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 2
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I need to solve this system of logarithmic equations involving x, y, and z. Let me try to (...TRUNCATED)
| true
|
33
| 3,247
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-2.2232048511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 3
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I have this problem where I need to find the value of |log₂(x⁴y³z²)|, and it's given(...TRUNCATED)
| true
|
33
| 5,248
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-0.5513298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 4
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I've got this problem here with three equations involving logarithms, and I need to find t(...TRUNCATED)
| true
|
33
| 4,337
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-1.3638298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 5
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Alright, so I have this problem with three equations involving logarithms, and I need to find the v(...TRUNCATED)
| true
|
33
| 4,198
| [-0.8920829892158508,-0.00017307691450696439,-0.2650546431541443,-0.053302157670259476,-0.7666254639(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 6
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I have this problem with three equations involving logarithms, and I need to find the abso(...TRUNCATED)
| true
|
33
| 3,472
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-0.5513298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 7
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I've got this problem here, and I need to find the value of |log₂(x⁴y³z²)| given som(...TRUNCATED)
| true
|
33
| 3,640
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-1.3638298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 8
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I have this system of logarithmic equations with three variables: x, y, and z. All of them(...TRUNCATED)
| true
|
33
| 4,045
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-0.5513298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
0
| 9
| "Let $x,y$ and $z$ be positive real numbers that satisfy the following system of equations: \n\\[\\l(...TRUNCATED)
|
33
| "Okay, so I have this system of logarithmic equations with variables x, y, and z. They're all positi(...TRUNCATED)
| true
|
33
| 3,323
| [-0.5327079892158508,-0.00010585224663373083,-0.11810638755559921,-0.05923859030008316,-0.5513298511(...TRUNCATED)
| [[-0.5327079892158508,-0.8920829892158508,-6.782708168029785,-7.298333168029785,-7.876458168029785],(...TRUNCATED)
|
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