diff --git a/backend/requirement.txt b/backend/requirement.txt
index 1b83d90..2735bf3 100644
--- a/backend/requirement.txt
+++ b/backend/requirement.txt
@@ -28,6 +28,7 @@ iso8601==1.0.2
 itsdangerous==2.1.2
 Jinja2==3.1.2
 MarkupSafe==2.1.1
+mpmath==1.2.1
 packaging==21.3
 passlib==1.7.4
 peewee==3.15.1
@@ -60,6 +61,7 @@ SQLAlchemy-Utils==0.38.3
 sqlalchemy2-stubs==0.0.2a27
 sqlmodel==0.0.8
 starlette==0.19.1
+sympy==1.11.1
 toml==0.10.2
 tomli==2.0.1
 tomlkit==0.11.1