Each president has a presidential number (between 1-44). Solve for X each time. Example: Jefferson[X] - Van Buren = Jackson would be 3x-8=7 (add 8 to both sides) which equals 3x=15 which (divide both sides by 3) x="5". Our 5th president is Monroe- answer: "James Monroe"
Remember PEMDAS.
HINT: For answers with TWO X-values, consider: can there be a negative number president?

3x^2+15x-6x-30 is (via factoring and grouping): 3x(x+5)-6(x+5) is (3x-6)(x+5) is x=-5 and x=6/3=2 There can't be a negative 5th president, so the answer is 2 (John Adams)

Jefferson(X) - Jackson * Jefferson + Jefferson = Jackson (X)/ Jackson + [Andrew Johnson] + Nixon

3x-7*3+3=7x/7+17+37 is 3x-21+3=(3/3)x+54 is 3x-18=x+54 is 2x=72 is x=36 (Lyndon Johnson)

Jackson (X - Jefferson) - Monroe(X) = (-)Jackson

7(x-3) - 5x = -7 is 7x-21-5x = -7 is 2x-21+21 = -7+21 is 2x=14 is x=7 (Andrew Jackson)

[SQUARE ROOT of (Madison + X)] = Monroe

[Square Root of (4+x)]=5 is (square both sides to get rid of the square root) x+4=25 is x=21

X + John Adams = Harding

x+2=29 is x=27

John Adams(X) = Cleveland (2nd Term)

2x=24 is x=12 (Zachary Taylor)

X^John Adams - John Adams(X) - (Reagan * John Adams)=0

x^2-2x-(40*2)=0 is x^2-2x-80=0 is (x-10)(x+8)=0 is x=10 and x=(-8); There can't be a negative 8th president, so the answer is 10 (John Tyler)

[SQUARE ROOT of (Monroe * John Adams)(Reagan((-)Washington+Monroe)] [X] = Reagan^John Adams

[Square Root of (5*2)(40(-1+5))]x=40^2 is [Square Root of (10)(40(4))]x=1600 is [Square Root of (1600)]x=1600 is [40]x=1600 is x=40

(Van Buren / Madison)(Truman * John Adams) / (Jefferson * Washington) = John Adams(X)

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