question
stringclasses 30
values | model_answer
stringlengths 1
297k
| ground_truth
stringclasses 30
values | is_correct
bool 2
classes | confs
listlengths 1.77k
64k
| ID
stringclasses 30
values | Year
stringclasses 1
value | Problem Number
stringclasses 1
value |
|---|---|---|---|---|---|---|---|
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
103
|
103
| true
| [[-0.9023461937904358,-0.5273461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
103
|
103
| true
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
103
|
103
| true
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
968
|
103
| false
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
135336201
|
103
| false
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
1
|
103
| false
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
22
|
103
| false
| [[-0.9023461937904358,-0.5273461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
| "Okay, so I need to find the sum of the positive divisors of 9! that have a units digit of 1. Hmm, l(...TRUNCATED)
|
103
| false
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
103
|
103
| true
| [[-0.9023461937904358,-0.5273461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
| ||
Compute the sum of the positive divisors (including $1$) of $9!$ that have units digit $1$.
|
22
|
103
| false
| [[-0.5273461937904358,-0.9023461937904358,-5.652346134185791,-8.65234661102295,-9.40234661102295],[-(...TRUNCATED)
|
0
|
End of preview. Expand
in Data Studio
No dataset card yet
- Downloads last month
- 20