Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
34701	Factor by Grouping	x^2+3x+2x+6	$x^{2} + 3 x + 2 x + 6$
34702	Factor by Grouping	4m^3-2m^2p^2-2mp+p^3	$4 m^{3} - 2 m^{2} p^{2} - 2 m p + p^{3}$
34703	Find the LCD	3/x , 2/(x-6)	$\frac{3}{x}$ , $\frac{2}{x - 6}$
34704	Combine	(4x)/(x-3)+72/(x^2-9)-(4x)/(x+3)	$\frac{4 x}{x - 3} + \frac{72}{x^{2} - 9} - \frac{4 x}{x + 3}$
34705	Find the Roots/Zeros Using the Rational Roots Test	x^2+7x+10	$x^{2} + 7 x + 10$
34706	Write with Rational (Fractional) Exponents	square root of x^17	$\sqrt{x^{17}}$
34707	Write with Rational (Fractional) Exponents	square root of 128	$\sqrt{128}$
34708	Write with Rational (Fractional) Exponents	square root of 26	$\sqrt{26}$
34709	Write with Rational (Fractional) Exponents	15 root of x^5	$\sqrt[15]{x^{5}}$
34710	Convert to Radical Form	(3y+x)^(3/5)	${(3 y + x)}^{\frac{3}{5}}$
34711	Convert to Radical Form	(-125)^(2/3)	${(- 125)}^{\frac{2}{3}}$
34712	Convert to Radical Form	3x^(5/7)	$3 x^{\frac{5}{7}}$
34713	Convert to Radical Form	x^(5/3)	$x^{\frac{5}{3}}$
34714	Convert to Radical Form	x^(7/8)	$x^{\frac{7}{8}}$
34715	Convert to Radical Form	3^(2/3)	$3^{\frac{2}{3}}$
34716	Convert to Radical Form	2^(2/3)	$2^{\frac{2}{3}}$
34717	Convert to Radical Form	2^(3/2)	$2^{\frac{3}{2}}$
34718	Convert to Radical Form	100^(1/2)	$100^{\frac{1}{2}}$
34719	Write with Rational (Fractional) Exponents	fourth root of x^5	$\sqrt[4]{x^{5}}$
34720	Find the Derivative - d/dx	xe^(2x)	$x e^{2 x}$
34721	Convert to Interval Notation	x^2-13x+40>0	$x^{2} - 13 x + 40 > 0$
34722	Convert to Interval Notation	x^2-15x+54>0	$x^{2} - 15 x + 54 > 0$
34723	Convert to Interval Notation	x^2-9x+14>0	$x^{2} - 9 x + 14 > 0$
34724	Convert to Interval Notation	x^2-9x+18>0	$x^{2} - 9 x + 18 > 0$
34725	Find g(f(x))	f(x)=x+11 , g(x)=x-11	$f (x) = x + 11$ , $g (x) = x - 11$
34726	Solve for a	ba+c=d	$b a + c = d$
34727	Find g(f(x))	f(x) = cube root of (x-3)/7 , g(x)=7x^3+3	$f (x) = \sqrt[3]{\frac{x - 3}{7}}$ , $g (x) = 7 x^{3} + 3$
34728	Convert to Interval Notation	x<-10	$x < - 10$
34729	Factor	a^2b^2-d^2	$a^{2} b^{2} - d^{2}$
34730	Solve by Substitution	y=4x+1 , 2y-3x=12	$y = 4 x + 1$ , $2 y - 3 x = 12$
34731	Solve by Substitution	2x+5y=12 , x-6y=-11	$2 x + 5 y = 12$ , $x - 6 y = - 11$
34732	Find g(f(x))	f(x)=2x , g(x)=x/2	$f (x) = 2 x$ , $g (x) = \frac{x}{2}$
34733	Solve by Substitution	y=x-1 , x+y=3	$y = x - 1$ , $x + y = 3$
34734	Solve by Substitution	-x-3y=-3 , x+3y=3	$- x - 3 y = - 3$ , $x + 3 y = 3$
34735	Solve by Substitution	x+y=6 , x-y=4	$x + y = 6$ , $x - y = 4$
34736	Solve by Substitution	x+2y=8 , x+3y=12	$x + 2 y = 8$ , $x + 3 y = 12$
34737	Solve by Substitution	x+2y=6 , -x-2y=-6	$x + 2 y = 6$ , $- x - 2 y = - 6$
34738	Solve by Addition/Elimination	2x+8y=6 , -5x-20y=-15	$2 x + 8 y = 6$ , $- 5 x - 20 y = - 15$
34739	Solve by Addition/Elimination	-6x+5y=1 , 6x+4y=-10	$- 6 x + 5 y = 1$ , $6 x + 4 y = - 10$
34740	Find the Maximum/Minimum Value	f(x)=x^2-2x-6	$f (x) = x^{2} - 2 x - 6$
34741	Find the Maximum/Minimum Value	f(x)=2x^2-3x+1	$f (x) = 2 x^{2} - 3 x + 1$
34742	Find g(f(x))	f(x)=9/(1-8x) , g(x)=1/x	$f (x) = \frac{9}{1 - 8 x}$ , $g (x) = \frac{1}{x}$
34743	Find the Vertex	p(x)=x^2+8x+15	$p (x) = x^{2} + 8 x + 15$
34744	Solve for x	2^(x-3)=1/32	$2^{x - 3} = \frac{1}{32}$
34745	Solve for x	10^x=3.26	$10^{x} = 3.26$
34746	Find g(f(x))	f(x)=x^2+9x g(x)=1/x	$f (x) = x^{2} + 9 x$ $g (x) = \frac{1}{x}$
34747	Find the Vertex	x^2+4x-12	$x^{2} + 4 x - 12$
34748	Find the Distance Between Two Points	(2,3) , (14,8)	$(2, 3)$ , $(14, 8)$
34749	Solve by Substitution	3x-2y=2 , 5x-5y=10	$3 x - 2 y = 2$ , $5 x - 5 y = 10$
34750	Solve by Substitution	-5x-8y=17 , 2x-7y=-17	$- 5 x - 8 y = 17$ , $2 x - 7 y = - 17$
34751	Solve by Substitution	4x+2y=10 , x-y=13	$4 x + 2 y = 10$ , $x - y = 13$
34752	Find g(f(x))	f(x)=4x^2-7 , g(x)=2/x	$f (x) = 4 x^{2} - 7$ , $g (x) = \frac{2}{x}$
34753	Solve by Substitution	-14=-20y-7x , 10y+4=2x	$- 14 = - 20 y - 7 x$ , $10 y + 4 = 2 x$
34754	Find g(f(x))	f(x)=x^2+1 , g(x) = square root of 2-x	$f (x) = x^{2} + 1$ , $g (x) = \sqrt{2 - x}$
34755	Find the Properties	f(x)=4x^2	$f (x) = 4 x^{2}$
34756	Find g(f(x))	f(x) = square root of x ; g(x)=3x-6	$f (x) = \sqrt{x}$ ; $g (x) = 3 x - 6$
34757	Evaluate	natural log of 12	$\ln (12)$
34758	Find the Properties	f(x)=x^2+3x-10	$f (x) = x^{2} + 3 x - 10$
34759	Find the Domain and Range	f(x)=x^2-x-12	$f (x) = x^{2} - x - 12$
34760	Find g(f(x))	f(x)=x-4 , g(x)=x+4	$f (x) = x - 4$ , $g (x) = x + 4$
34761	Find the Domain and Range	p(x)=-x^2+4x-3	$p (x) = - x^{2} + 4 x - 3$
34762	Find g(f(x))	f(x)=(1-x)/(9x) , g(x)=1/(1+9x)	$f (x) = \frac{1 - x}{9 x}$ , $g (x) = \frac{1}{1 + 9 x}$
34763	Simplify	fourth root of (24x^6y)/(128x^4y^5)	$\sqrt[4]{\frac{24 x^{6} y}{128 x^{4} y^{5}}}$
34764	Find g(f(x))	f(x)=(1-x)/(7x) , g(x)=1/(1+7x)	$f (x) = \frac{1 - x}{7 x}$ , $g (x) = \frac{1}{1 + 7 x}$
34765	Find the Inverse	h(x)=(7-x)/3	$h (x) = \frac{7 - x}{3}$
34766	Solve for x	5(2x-1)=6	$5 (2 x - 1) = 6$
34767	Simplify	8-15i+(-3+2i)	$8 - 15 i + (- 3 + 2 i)$
34768	Find g(f(x))	f(x)=9x^2-5x , g(x)=x^2-3x-10	$f (x) = 9 x^{2} - 5 x$ , $g (x) = x^{2} - 3 x - 10$
34769	Find g(f(x))	f(x)=x^2+3 , g(x) = square root of x-3	$f (x) = x^{2} + 3$ , $g (x) = \sqrt{x} - 3$
34770	Find the Inverse	f(x)=7/x	$f (x) = \frac{7}{x}$
34771	Find the Inverse	f(x)=(x+6)^3	$f (x) = {(x + 6)}^{3}$
34772	Find the Inverse	y=3^x	$y = 3^{x}$
34773	Find the Inverse	f(x)=4x+4	$f (x) = 4 x + 4$
34774	Find the Inverse	f(x)=6x-4	$f (x) = 6 x - 4$
34775	Find the Inverse	f(x)=7x+3	$f (x) = 7 x + 3$
34776	Find the Domain and Range	g(x) = log of x-5	$g (x) = \log (x - 5)$
34777	Determine if the Relation is a Function	{(3,8),(3,9),(3,10)}	${(3, 8), (3, 9), (3, 10)}$
34778	Determine if the Relation is a Function	(3.3,5.3) , (-1.7,5.3) , (-4.7,3.3) , (-4.7,-2.7)	$(3.3, 5.3)$ , $(- 1.7, 5.3)$ , $(- 4.7, 3.3)$ , $(- 4.7, - 2.7)$
34779	Determine if the Relation is a Function	f=((1,0),(7,0),(0,2),(8,9))	$f = ((1, 0), (7, 0), (0, 2), (8, 9))$
34780	Find the Domain and Range	f(x)=1/(x-4)	$f (x) = \frac{1}{x - 4}$
34781	Expand the Logarithmic Expression	natural log of 8	$\ln (8)$
34782	Find the Derivative - d/d@VAR	f(t) = natural log of square root of 3t^2+1	$f (t) = \ln (\sqrt{3 t^{2} + 1})$
34783	Expand the Logarithmic Expression	log of (u^4)/v	$\log (\frac{u^{4}}{v})$
34784	Expand the Logarithmic Expression	log of square root of 1000000x	$\log (\sqrt{1000000 x})$
34785	Find the Derivative - d/d@VAR	f(x)=sin(x^2-12)	$f (x) = \sin (x^{2} - 12)$
34786	Convert to Logarithmic Form	e^3=y	$e^{3} = y$
34787	Convert to Logarithmic Form	e^-4=0.0183	$e^{- 4} = 0.0183$
34788	Write in Slope-Intercept Form	4(x-5)+y=0	$4 (x - 5) + y = 0$
34789	Convert to Logarithmic Form	2401=7^4	$2401 = 7^{4}$
34790	Evaluate	log base 3 of (1/27)^4	$\log_{3} ({(\frac{1}{27})}^{4})$
34791	Find Where Undefined/Discontinuous	1/(x-4)-5/(x+6)=10/(x^2+2x-24)	$\frac{1}{x - 4} - \frac{5}{x + 6} = \frac{10}{x^{2} + 2 x - 24}$
34792	Evaluate	log base 3 of (3)^2	$\log_{3} ({(3)}^{2})$
34793	Evaluate	log base 3 of (3)^5	$\log_{3} ({(3)}^{5})$
34794	Convert to Logarithmic Form	256^(1/4)=4	$256^{\frac{1}{4}} = 4$
34795	Find Where Undefined/Discontinuous	3/x+2=3/(4x)+17/8	$\frac{3}{x} + 2 = \frac{3}{4 x} + \frac{17}{8}$
34796	Convert to Logarithmic Form	10^-5=0.00001	$10^{- 5} = 0.00001$
34797	Find Where Undefined/Discontinuous	3/x=21/(8x)+3	$\frac{3}{x} = \frac{21}{8 x} + 3$
34798	Evaluate	log base 7 of 11	$\log_{7} (11)$
34799	Evaluate	log base 9 of 5	$\log_{9} (5)$
34800	Find Where Undefined/Discontinuous	log base 2 of log base 2 of square root of 4x=1	$\log_{2} (\log_{2} (\sqrt{4 x})) = 1$