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problem_id
int64
0
999
response_id
int64
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31
problem
stringclasses
1k values
gold
stringclasses
414 values
response
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bool
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int64
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16.4k
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response_summary
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0
43.2k
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"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
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10,698
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"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
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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)
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"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)
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"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
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[-0.41578179597854614,-0.000024914430468925275,-0.050722505897283554,-2.180946111679077,-0.974628567(...TRUNCATED)
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"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
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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)
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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)
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"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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