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 |
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