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Need a CHEAP and light hybrid for Mathematica and python

I need a cheap, thin and light laptop that I can carry to class that can run basic programs in python and mathematica. I have a gaming laptop but it's too heavy to lug everyday to class.

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So you're looking for an ultrabook. Asus Zenbooks, Dell XPS come to mind. It will help tremendously if you would specify what "cheap", "light", "thin" and "basic programs" mean for you though, as all of those are subjective and basic doesn't say a whole lot about the workload. I mean a Celeron can technically run basic Python/Mathematica programs, but it won't be fast.

Crystal: CPU: i7 7700K | Motherboard: Asus ROG Strix Z270F | RAM: GSkill 16 GB@3200MHz | GPU: Nvidia GTX 1080 Ti FE | Case: Corsair Crystal 570X (black) | PSU: EVGA Supernova G2 1000W | Monitor: Asus VG248QE 24"

Laptop: Dell XPS 13 9370 | CPU: i5 10510U | RAM: 16 GB

Server: CPU: i5 4690k | RAM: 16 GB | Case: Corsair Graphite 760T White | Storage: 19 TB

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Budget? Preferred max weight, min battery life and display size?

Desktop specs:

Spoiler

AMD Ryzen 5 5600 Thermalright Peerless Assassin 120 SE ARGB Gigabyte B550M DS3H mATX

Asrock Challenger Pro OC Radeon RX 6700 XT Corsair Vengeance LPX 16GB (8Gx2) 3600MHz CL18 Kingston NV2 1TB PCIe 4.0 NVMe SSD

Montech Century 850W Gold Tecware Nexus Air (Black) ATX Mid Tower

Laptop: Lenovo Ideapad 5 Pro 16ACH6

Phone: Xiaomi Redmi Note 10 Pro 8+128

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