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id_14
"The country of HMMTLand has $8$ cities. Its government decides to construct several two-way roads b(...TRUNCATED)
875
2
"Alright, so I have this problem about constructing roads between cities in HMMTLand. There are 8 ci(...TRUNCATED)
false
116
10,321
[0.011687257327139378,0.009412589482963085,0.7476159334182739,0.8104788661003113,0.729519784450531,0(...TRUNCATED)
id_23
"Let $A B C D$ be a square, and let $\\ell$ be a line passing through the midpoint of segment $\\ove(...TRUNCATED)
185
185
"Alright, so I have this geometry problem here. Let me read it again to make sure I understand.\n\nW(...TRUNCATED)
true
98
10,658
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.3956010639667511,(...TRUNCATED)
id_2
"Compute the sum of all two-digit positive integers $x$ such that for all three-digit (base 10) posi(...TRUNCATED)
64
"Alright, let me try to figure out this problem step by step. So, the question is asking for the sum(...TRUNCATED)
false
118
16,384
[0.011687257327139378,0.009412589482963085,0.7520125508308411,0.5921949744224548,0.4602889120578766,(...TRUNCATED)
id_17
"Rishabh has $2024$ pairs of socks in a drawer. He draws socks from the drawer uniformly at random, (...TRUNCATED)
\dfrac{4^{2024}}{\binom{4048}{2024}}-2
"Okay, so I have this problem where Rishabh has 2024 pairs of socks in a drawer. He's going to draw (...TRUNCATED)
false
74
16,384
[0.011687257327139378,0.009412589482963085,0.6053325533866882,0.6876299977302551,0.6575384140014648,(...TRUNCATED)
id_12
"Compute the number of ways there are to assemble $2$ red unit cubes and $25$ white unit cubes into (...TRUNCATED)
114
"Okay, so I have this problem where I need to compute the number of ways to assemble 2 red unit cube(...TRUNCATED)
false
81
16,384
[0.011687257327139378,0.009412589482963085,0.7520125508308411,0.5921949744224548,0.5945512652397156,(...TRUNCATED)
id_22
"Let $\\Omega$ and $\\omega$ be circles with radii $123$ and $61$, respectively, such that the cente(...TRUNCATED)
42
"Alright, so I've got this geometry problem here. Let me try to parse it step by step.\n\nWe have tw(...TRUNCATED)
false
111
16,384
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.5029906630516052,(...TRUNCATED)
id_23
"Let $A B C D$ be a square, and let $\\ell$ be a line passing through the midpoint of segment $\\ove(...TRUNCATED)
185
185
"Okay, so I have this geometry problem here. It says: Let ABCD be a square, and let l be a line pass(...TRUNCATED)
true
98
8,161
[0.011687257327139378,0.009412589482963085,0.6592954993247986,0.6233768463134766,0.3956010639667511,(...TRUNCATED)
id_25
"In triangle $A B C$, a circle $\\omega$ with center $O$ passes through $B$ and $C$ and intersects s(...TRUNCATED)
\dfrac{65}{3}
"Alright, so I'm trying to solve this geometry problem. Let me read it again and make sure I underst(...TRUNCATED)
false
140
16,384
[0.011687257327139378,0.009412589482963085,0.7416740655899048,0.6951311230659485,0.6884684562683105,(...TRUNCATED)
id_2
"Compute the sum of all two-digit positive integers $x$ such that for all three-digit (base 10) posi(...TRUNCATED)
64
64
"Alright, so I have this problem here: I need to compute the sum of all two-digit positive integers (...TRUNCATED)
true
118
16,384
[0.011687257327139378,0.009412589482963085,0.7520125508308411,0.5921949744224548,0.4602889120578766,(...TRUNCATED)
id_29
"Suppose point $P$ is inside quadrilateral $A B C D$ such that\n$$\\begin{aligned}\n\n\\& \\angle P (...TRUNCATED)
\dfrac{9\sqrt{410}}{5}
"Alright, so I've got this geometry problem here, and I need to figure out the perimeter of quadrila(...TRUNCATED)
false
141
16,384
[0.011687257327139378,0.009412589482963085,0.6943026781082153,0.8187368512153625,0.6388352513313293,(...TRUNCATED)
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