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problem_id
int64
response_id
int64
problem
string
gold
string
response
string
correctness
bool
prediction
string
num_tokens
int64
logprob
list
alternative_logprob
list
response_summary
string
0
0
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry is starting at 0 on the real number line. He flips a fair (...TRUNCATED)
false
239
10,698
[-0.41578346490859985,-0.000024914430468925275,-0.05072035267949104,-0.1965767741203308,-0.830407023(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
"Jerry starts at 0 on the real number line and flips a fair coin 8 times. Each heads (H) moves him +(...TRUNCATED)
0
1
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Alright, so I've got this probability problem here, and I need to figure it out step by step. Let m(...TRUNCATED)
false
2
16,384
[-1.0876567363739014,-0.000038265450712060556,-0.14256955683231354,-0.1264527142047882,-1.0892169475(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
0
2
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry is starting at 0 on the number line and flips a fair coin (...TRUNCATED)
false
235
8,071
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-0.19657109677791595,-0.8272082(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
"Jerry starts at 0 on the real number line and tosses a fair coin 8 times. Each heads (H) moves him (...TRUNCATED)
0
3
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry is starting at 0 on the real number line and flips a fair (...TRUNCATED)
false
8
16,384
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-0.19657109677791595,-0.8272082(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
0
4
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so Jerry starts at 0 on the number line. He flips a fair coin 8 times. Each heads makes him m(...TRUNCATED)
false
291
8,511
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-2.180946111679077,-0.974628567(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
"Jerry starts at 0 on the real number line and tosses a fair coin 8 times. Each heads (H) makes him (...TRUNCATED)
0
5
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Alright, so I have this problem where Jerry is starting at 0 on the real number line. He flips a fa(...TRUNCATED)
false
2
16,384
[-1.0876567363739014,-0.000038265450712060556,-0.14256955683231354,-0.1264527142047882,-0.9329669475(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
0
6
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry is starting at 0 on the real number line and he tosses a f(...TRUNCATED)
false
1/8
16,384
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-0.19657109677791595,-0.8272082(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
0
7
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry starts at 0 on the real number line and tosses a fair coin(...TRUNCATED)
false
9/256
15,092
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-0.19657109677791595,-0.8272082(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
"Jerry starts at 0 on the real number line and tosses a fair coin 8 times. Each heads moves him +1 u(...TRUNCATED)
0
8
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry is starting at 0 on the real number line and he tosses a f(...TRUNCATED)
false
0
16,384
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-0.19657109677791595,-0.8272082(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
"Jerry starts at position 0 on the real number line and tosses a fair coin 8 times. Each heads move (...TRUNCATED)
0
9
"Jerry starts at $0$ on the real number line. He tosses a fair coin $8$ times. When he gets heads, h(...TRUNCATED)
151
"Okay, so I have this problem where Jerry is starting at 0 on the real number line. He flips a fair (...TRUNCATED)
false
87
7,696
[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-0.19657109677791595,-0.8272082(...TRUNCATED)
[[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],[],(...TRUNCATED)
"Jerry starts at 0 on the real number line and tosses a fair coin 8 times. Each heads (H) moves him (...TRUNCATED)
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