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The continuous random energy model (CREM) was introduced by Bovier and Kurkova in 2004 as a toy model of disordered systems. Among other things, their work indicates that there exists a critical point 
$\beta_\mathrm{c}$ such that the partition function exhibits a phase transition. The present work focuses on the high-temperature regime where 
$\beta<\beta_\mathrm{c}$. We show that, for all 
$\beta<\beta_\mathrm{c}$ and for all 
$s>0$, the negative s moment of the CREM partition function is comparable with the expectation of the CREM partition function to the power of 
$-s$, up to constants that are independent of N.
