Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
20101	Find the LCD	5/(6x^7y^4)*5/(3x^6y^3)	$\frac{5}{6 x^{7} y^{4}} \cdot \frac{5}{3 x^{6} y^{3}}$
20102	Factor	81x^2-64y^2	$81 x^{2} - 64 y^{2}$
20103	Factor	81-16x^4	$81 - 16 x^{4}$
20104	Find the LCD	(3p)/(2p+10)+2/(p^2-25)	$\frac{3 p}{2 p + 10} + \frac{2}{p^{2} - 25}$
20105	Factor	8x^2-6x+1	$8 x^{2} - 6 x + 1$
20106	Find the LCD	(3x-2)/(x^2-2x-3)-1/(x-3)	$\frac{3 x - 2}{x^{2} - 2 x - 3} - \frac{1}{x - 3}$
20107	Factor	8x^2-4x-4	$8 x^{2} - 4 x - 4$
20108	Factor	8x^2-8x-48	$8 x^{2} - 8 x - 48$
20109	Factor	8x^3+343	$8 x^{3} + 343$
20110	Find the LCD	(2h^2)/(2h+6)-(4h-1)/(h^2-9)	$\frac{2 h^{2}}{2 h + 6} - \frac{4 h - 1}{h^{2} - 9}$
20111	Factor	8u^3+125	$8 u^{3} + 125$
20112	Find the LCD	3/(5x-10)(5x)/(4x-8)	$\frac{3}{5 x - 10} \frac{5 x}{4 x - 8}$
20113	Factor	9x^2+27x+20	$9 x^{2} + 27 x + 20$
20114	Find the Intersection of the Sets	A=(0,1,2,3,4,5,6,7,8,9) , c=(9,44,66,77)	$A = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9)$ , $c = (9, 44, 66, 77)$
20115	Factor	9x^2+12xy+4y^2	$9 x^{2} + 12 x y + 4 y^{2}$
20116	Find the Intersection of the Sets	A=(0,1,2,3,4,5,6,7,8,9,77) , c=(9,44,66,77)	$A = (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 77)$ , $c = (9, 44, 66, 77)$
20117	Factor	9x^4-81x^2	$9 x^{4} - 81 x^{2}$
20118	Find the Intersection of the Sets	A=(0,1,2,3,4,5,6,7,8,77) , c=(9,44,66,77)	$A = (0, 1, 2, 3, 4, 5, 6, 7, 8, 77)$ , $c = (9, 44, 66, 77)$
20119	Factor	4x^2-13x-12	$4 x^{2} - 13 x - 12$
20120	Factor	4x^2-23x-6	$4 x^{2} - 23 x - 6$
20121	Factor	4x^3-x^2-4x+1	$4 x^{3} - x^{2} - 4 x + 1$
20122	Find the Slope and y-intercept	(3,7) , (-2,-3)	$(3, 7) (- 2, - 3)$
20123	Factor	4x-x^2	$4 x - x^{2}$
20124	Factor	4st+14t-10s-35	$4 s t + 14 t - 10 s - 35$
20125	Factor	5x^2+30x+40	$5 x^{2} + 30 x + 40$
20126	Expand Using Pascal's Triangle	(2x-4)^4	${(2 x - 4)}^{4}$
20127	Factor	5x^2-16x+3	$5 x^{2} - 16 x + 3$
20128	Expand Using Pascal's Triangle	(x+3)^7	${(x + 3)}^{7}$
20129	Factor	5x^2-22x+21	$5 x^{2} - 22 x + 21$
20130	Expand Using Pascal's Triangle	(x+y)^0	${(x + y)}^{0}$
20131	Factor	5x^2-25x	$5 x^{2} - 25 x$
20132	Expand Using Pascal's Triangle	(x-5)^6	${(x - 5)}^{6}$
20133	Factor	5c^5+60c^4+180c^3	$5 c^{5} + 60 c^{4} + 180 c^{3}$
20134	Factor	64x^3+8	$64 x^{3} + 8$
20135	Factor	6x^2+12x-90	$6 x^{2} + 12 x - 90$
20136	Factor	6m^2-13m-5	$6 m^{2} - 13 m - 5$
20137	Factor	6r^2-28r+16	$6 r^{2} - 28 r + 16$
20138	Solve by Addition/Elimination	2x+5y=15 5x+10y=35	$2 x + 5 y = 15$ $5 x + 10 y = 35$
20139	Factor	6x^3+27x^2-15x	$6 x^{3} + 27 x^{2} - 15 x$
20140	Factor by Grouping	12x^3+2x^2-30x-5	$12 x^{3} + 2 x^{2} - 30 x - 5$
20141	Factor by Grouping	x^2-6x+9	$x^{2} - 6 x + 9$
20142	Find the LCD	(3x)/(x+1)+(x+1)/(2x)+5/x	$\frac{3 x}{x + 1} + \frac{x + 1}{2 x} + \frac{5}{x}$
20143	Solve by Addition/Elimination	2x-3y=-1 3x+4y=8	$2 x - 3 y = - 1$ $3 x + 4 y = 8$
20144	Write with Rational (Fractional) Exponents	cube root of x^5	$\sqrt[3]{x^{5}}$
20145	Write with Rational (Fractional) Exponents	square root of 200	$\sqrt{200}$
20146	Convert to Radical Form	(5x)^(-1/2)	${(5 x)}^{- \frac{1}{2}}$
20147	Convert to Radical Form	16^(-3/4)	$16^{- \frac{3}{4}}$
20148	Convert to Radical Form	2^(1/3)	$2^{\frac{1}{3}}$
20149	Convert to Radical Form	64^(2/3)	$64^{\frac{2}{3}}$
20150	Convert to Radical Form	x^(5/8)	$x^{\frac{5}{8}}$
20151	Write with Rational (Fractional) Exponents	ninth root of x^3	$\sqrt[9]{x^{3}}$
20152	Solve by Addition/Elimination	3x+5y=48 -3x+5y=12	$3 x + 5 y = 48$ $- 3 x + 5 y = 12$
20153	Solve by Addition/Elimination	3x+6y=36 3x-6y=0	$3 x + 6 y = 36$ $3 x - 6 y = 0$
20154	Convert to Interval Notation	x^2-5x>0	$x^{2} - 5 x > 0$
20155	Simplify	(w^2-9)/(w^2-4w-21)	$\frac{w^{2} - 9}{w^{2} - 4 w - 21}$
20156	Convert to Interval Notation	7<x+5<11	$7 < x + 5 < 11$
20157	Convert to Interval Notation	x<-8	$x < - 8$
20158	Evaluate	log base 2 of 18	$\log_{2} (18)$
20159	Solve by Substitution	x+y=8 , x-y=6	$x + y = 8$ , $x - y = 6$
20160	Solve by Substitution	x+y=7 , x-y=3	$x + y = 7$ , $x - y = 3$
20161	Solve by Substitution	-7x+y=-19 , -2x+3y=-19	$- 7 x + y = - 19$ , $- 2 x + 3 y = - 19$
20162	Solve by Addition/Elimination	4x+y-2z=0 , 2x-3y+3z=9 , -6x-2y+z=0	$4 x + y - 2 z = 0$ , $2 x - 3 y + 3 z = 9$ , $- 6 x - 2 y + z = 0$
20163	Factor	4x^2+8xy-60y^2	$4 x^{2} + 8 x y - 60 y^{2}$
20164	Find the Maximum/Minimum Value	f(x)=-x^2-2x-6	$f (x) = - x^{2} - 2 x - 6$
20165	Solve by Substitution	2x+3y=-4 , 2x-y=7	$2 x + 3 y = - 4$ , $2 x - y = 7$
20166	Solve by Substitution	-4x+9y=9 , x-3y=-6	$- 4 x + 9 y = 9$ , $x - 3 y = - 6$
20167	Graph	y=-1/4x^2	$y = - \frac{1}{4} x^{2}$
20168	Factor	2y^2-2y-4	$2 y^{2} - 2 y - 4$
20169	Find the Domain and Range	x^2+6x+8	$x^{2} + 6 x + 8$
20170	Find the Domain and Range	f(x)=x^2-8x+7	$f (x) = x^{2} - 8 x + 7$
20171	Find the Domain and Range	x^2-2x-8	$x^{2} - 2 x - 8$
20172	Subtract	-2-3	$- 2 - 3$
20173	Solve by Addition/Elimination	5x-2y=-19 2x+3y=0	$5 x - 2 y = - 19$ $2 x + 3 y = 0$
20174	Find the Domain and Range	- log base 3 of x	$- \log_{3} (x)$
20175	Find the Inverse	f(x)=8x	$f (x) = 8 x$
20176	Solve by Addition/Elimination	6x-4y=-8 11x+4y=76	$6 x - 4 y = - 8$ $11 x + 4 y = 76$
20177	Simplify	square root of 10/7	$\sqrt{\frac{10}{7}}$
20178	Find the Domain	y=2 square root of x-6	$y = 2 \sqrt{x - 6}$
20179	Graph	3x-2y=-12	$3 x - 2 y = - 12$
20180	Find the Inverse	f(x)=(x+3)^3	$f (x) = {(x + 3)}^{3}$
20181	Find the Inverse	f(x)=x^2-8	$f (x) = x^{2} - 8$
20182	Solve by Addition/Elimination	x+2y+z=4 , 4y-3z=1 , 2y+10z=12	$x + 2 y + z = 4$ , $4 y - 3 z = 1$ , $2 y + 10 z = 12$
20183	Find the Inverse	f(x)=x^2+3	$f (x) = x^{2} + 3$
20184	Solve by Addition/Elimination	x+2y=-6 3x+8y=-20	$x + 2 y = - 6$ $3 x + 8 y = - 20$
20185	Find the Inverse	f(x)=7x-4	$f (x) = 7 x - 4$
20186	Find the Inverse	f(x)=5x-7	$f (x) = 5 x - 7$
20187	Find the Inverse	f(x)=-3x-4	$f (x) = - 3 x - 4$
20188	Find the Inverse	f(x)=-3x+4	$f (x) = - 3 x + 4$
20189	Find the Inverse	f(x)=2x-9	$f (x) = 2 x - 9$
20190	Solve by Addition/Elimination	x+y=9 x-y=7	$x + y = 9$ $x - y = 7$
20191	Write in Exponential Form	log of x+ log of x+3=1	$\log (x) + \log (x + 3) = 1$
20192	Expand the Logarithmic Expression	log of x/10	$\log (\frac{x}{10})$
20193	Expand the Logarithmic Expression	natural log of square root of e	$\ln (\sqrt{e})$
20194	Expand the Logarithmic Expression	natural log of 10 root of x	$\ln (\sqrt[10]{x})$
20195	Convert to Logarithmic Form	y=2^x	$y = 2^{x}$
20196	Solve by Addition/Elimination	x-5y=1 2x+5y=17	$x - 5 y = 1$ $2 x + 5 y = 17$
20197	Convert to Logarithmic Form	27^(1/3)=3	$27^{\frac{1}{3}} = 3$
20198	Convert to Logarithmic Form	1/256=4^-4	$\frac{1}{256} = 4^{- 4}$
20199	Convert to Logarithmic Form	(1/3)^-2=9	${(\frac{1}{3})}^{- 2} = 9$
20200	Solve by Addition/Elimination	y=x-2 7y-4x=10	$y = x - 2$ $7 y - 4 x = 10$