Lens Refraction Problems: Help with Calculating Image Distance and Magnification

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The discussion revolves around solving lens refraction problems involving image distance and magnification for both converging and diverging lenses. The first problem requires calculating the image distance and height for an object in front of a converging lens with a given focal length. The second problem involves determining the image distance and magnification for another converging lens scenario. The third problem focuses on finding the object placement for a diverging lens to achieve a specific image size reduction. Participants are encouraged to show their work for assistance, but one user ultimately resolves their queries independently.
moonlit
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I'm really not sure how to figure these 3 problems out. Can someone please help me. Thanks.

1) A converging lens has a focal length of 85 cm. A 14-cm-tall object is located 121 cm in front of this lens. (a) What is the image distance? (b) What is the image height? Be sure to include the proper algebraic sign.

2) An object is located 38.2 cm to the left of a converging lens whose focal length is 59.2 cm. (a) Determine the image distance and (b) the magnification.

3) An object is 27 cm in front of a diverging lens that has a focal length of -14 cm. How far in front of the lens should the object be placed so that the size of its image is reduced by a factor of 2.1?
 
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I got the last one but the other two I'm still unsure of...
 
If you would like some help, show your work and I'll take a look.
 
Nevermind, I figured it out. Thanks anyway!
 
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