Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3701	Solve for c	a=b(1c-1d)	$a = b (1 c - 1 d)$
3702	Simplify	square root of (64x^8)/16	$\sqrt{\frac{64 x^{8}}{16}}$
3703	Simplify	(2 square root of 6+8)(2 square root of 6-8)	$(2 \sqrt{6} + 8) (2 \sqrt{6} - 8)$
3704	Find the Antiderivative	e^x+x	$e^{x} + x$
3705	Simplify the Radical Expression	5 square root of 13-3 square root of 13- square root of 13	$5 \sqrt{13} - 3 \sqrt{13} - \sqrt{13}$
3706	Simplify	(i-2)/(i-1)	$\frac{i - 2}{i - 1}$
3707	Simplify	(7x)/(x+7)*(2x+14)/14	$\frac{7 x}{x + 7} \cdot \frac{2 x + 14}{14}$
3708	Multiply	square root of 8y^5* square root of 40y^2	$\sqrt{8 y^{5}} \cdot \sqrt{40 y^{2}}$
3709	Simplify	(x-5)/(4x)-(2x+6)/(16x)	$\frac{x - 5}{4 x} - \frac{2 x + 6}{16 x}$
3710	Solve by Addition/Elimination	3x+3=3y 2x-6y=2	$3 x + 3 = 3 y$ $2 x - 6 y = 2$
3711	Solve for x	2(6x-7)^(1/3)-5=5	$2 {(6 x - 7)}^{\frac{1}{3}} - 5 = 5$
3712	Solve for m	-2.4(m-5/6)=-5	$- 2.4 (m - \frac{5}{6}) = - 5$
3713	Simplify	((a^2+4a+4)/(16-b^4))÷((4-a^2)/(4+b^2))	$\frac{a^{2} + 4 a + 4}{16 - b^{4}} \div \frac{4 - a^{2}}{4 + b^{2}}$
3714	Find the Domain	4/(4- square root of 25-x^2)	$\frac{4}{4 - \sqrt{25 - x^{2}}}$
3715	Simplify	(3 square root of 8)/( square root of 3)	$\frac{3 \sqrt{8}}{\sqrt{3}}$
3716	Simplify	(-6a^5+3a^3-2a^2+1)-(4a^2+3a-7)	$(- 6 a^{5} + 3 a^{3} - 2 a^{2} + 1) - (4 a^{2} + 3 a - 7)$
3717	Solve for x	x(x-2)-5=0	$x (x - 2) - 5 = 0$
3718	Solve for x	20/(2x-6)=(x+8)/39	$\frac{20}{2 x - 6} = \frac{x + 8}{39}$
3719	Solve for x	2(2x+1)-(3x)/2=(-3(4+x))/2	$2 (2 x + 1) - \frac{3 x}{2} = \frac{- 3 (4 + x)}{2}$
3720	Graph Using a Table of Values	y=0.25^x	$y = {0.25}^{x}$
3721	Simplify	3y^3z^43x^4y^2z^-3x^-2y^4z^2	$3 y^{3} z^{4} \cdot 3 x^{4} y^{2} z^{- 3} \cdot x^{- 2} y^{4} z^{2}$
3722	Solve for m	2+ square root of m-2=7	$2 + \sqrt{m - 2} = 7$
3723	Simplify	((y^0)/(y^n))^-1	${(\frac{y^{0}}{y^{n}})}^{- 1}$
3724	Write in Exponential Form	( cube root of a^3)^2	${(\sqrt[3]{a^{3}})}^{2}$
3725	Evaluate the Integral	integral of (7x+e^(4x)) with respect to x	$\int (7 x + e^{4 x}) d x$
3726	Convert to Radical Form	((x^2+3)^(1/3))/((x^2-3)^(-1/3))	$\frac{{(x^{2} + 3)}^{\frac{1}{3}}}{{(x^{2} - 3)}^{- \frac{1}{3}}}$
3727	Evaluate	(-1/2)^2+3(-1/2)+5	${(- \frac{1}{2})}^{2} + 3 (- \frac{1}{2}) + 5$
3728	Simplify	(5^(1/4))+6(405^(1/4))	$(5^{\frac{1}{4}}) + 6 (405^{\frac{1}{4}})$
3729	Find the Equation Using Slope-Intercept Form	(4,2) ; slope 1/2	$(4, 2)$ ; slope $\frac{1}{2}$
3730	Find the Inverse	f(x)=(1-e^(-x))/(1+e^(-x))	$f (x) = \frac{1 - e^{- x}}{1 + e^{- x}}$
3731	Simplify	( square root of 5)/( square root of 5- square root of 15)	$\frac{\sqrt{5}}{\sqrt{5} - \sqrt{15}}$
3732	Solve for x	7+2(3-8x)=4-6(1+5x)	$7 + 2 (3 - 8 x) = 4 - 6 (1 + 5 x)$
3733	Verify the Identity	cot(theta)sin(theta)cos(theta)=1-sin(theta)^2	$\cot (θ) \sin (θ) \cos (θ) = 1 - \sin^{2} (θ)$
3734	Write in Standard Form	-y^3+3y-3y^2+2	$- y^{3} + 3 y - 3 y^{2} + 2$
3735	Find the Domain and Range	f(x)=3 cube root of -x-2	$f (x) = 3 \sqrt[3]{- x - 2}$
3736	Find the Domain and Range	f(x)=2-3/(x-1)	$f (x) = 2 - \frac{3}{x - 1}$
3737	Find the Product	-2yz^2*(-5y^2z-4z)	$- 2 y z^{2} \cdot (- 5 y^{2} z - 4 z)$
3738	Solve for r	Q=8rs^2	$Q = 8 r s^{2}$
3739	Solve for y	y=1-2x , x=9	$y = 1 - 2 x$ , $x = 9$
3740	Find the Antiderivative	cube root of x-2	$\sqrt[3]{x - 2}$
3741	Simplify	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
3742	Simplify the Radical Expression	(125x)^(5/3)	${(125 x)}^{\frac{5}{3}}$
3743	Simplify	6m^2n-14mn^2-mn^2+2m^2n	$6 m^{2} n - 14 m n^{2} - m n^{2} + 2 m^{2} n$
3744	Find the Vertex	f(x)=x^2-6x+k	$f (x) = x^{2} - 6 x + k$
3745	Solve the Inequality for c	-7>20+c	$- 7 > 20 + c$
3746	Evaluate the Limit	limit as x approaches infinity of (-2x^3-2x+3)/(3x^3+3x^2-5x)	$lim_{x \to \infty} \frac{- 2 x^{3} - 2 x + 3}{3 x^{3} + 3 x^{2} - 5 x}$
3747	Evaluate the Integral	integral from -2 to 4 of (x/2+3) with respect to x	$\int_{- 2}^{4} (\frac{x}{2} + 3) d x$
3748	Find the Second Derivative	y=7x^3-5x^2+x	$y = 7 x^{3} - 5 x^{2} + x$
3749	Simplify	((-6x^4y^6)^2)/((-3x^3y^5)^2)-7x^2y^2	$\frac{{(- 6 x^{4} y^{6})}^{2}}{{(- 3 x^{3} y^{5})}^{2}} - 7 x^{2} y^{2}$
3750	Solve the Function Operation	f(x)=x^2-x-6 ; calcula (f(-5))/(f(2))	$f (x) = x^{2} - x - 6$ ; calcula $\frac{f (- 5)}{f (2)}$
3751	Simplify	(x^-2y^0)/(x^4y^-5)	$\frac{x^{- 2} y^{0}}{x^{4} y^{- 5}}$
3752	Solve for t	S(t)=1/3t^3-3.5t^2+10t	$S (t) = \frac{1}{3} t^{3} - 3.5 t^{2} + 10 t$
3753	Simplify the Radical Expression	square root of 12+4 square root of 3	$\sqrt{12} + 4 \sqrt{3}$
3754	Find the Domain	(x(x-2))/((x-2)(x+3))	$\frac{x (x - 2)}{(x - 2) (x + 3)}$
3755	Simplify	(3 square root of 2)/(2- square root of 7)	$\frac{3 \sqrt{2}}{2 - \sqrt{7}}$
3756	Factor by Grouping	x^3-8y^3	$x^{3} - 8 y^{3}$
3757	Solve the Inequality for x	4x+3y<12	$4 x + 3 y < 12$
3758	Solve the Inequality for b	3b<=12	$3 b \leq 12$
3759	Write in Standard Form	5ab-a^2b^2+a^5+ab^2	$5 a b - a^{2} b^{2} + a^{5} + a b^{2}$
3760	Solve the Inequality for z	-8<=z+6.4	$- 8 \leq z + 6.4$
3761	Solve for x	square root of 2x-1- square root of x+4=0	$\sqrt{2 x - 1} - \sqrt{x + 4} = 0$
3762	Simplify	(13/6)((2y+4)/(52y))	$(\frac{13}{6}) (\frac{2 y + 4}{52 y})$
3763	Simplify	(r^7n^7t^2)/(n^3r^3t^2)	$\frac{r^{7} n^{7} t^{2}}{n^{3} r^{3} t^{2}}$
3764	Solve the System of Equations	5x=2y+50 2y+38=3x	$5 x = 2 y + 50$ $2 y + 38 = 3 x$
3765	Determine if a Polynomial	-5w^3x^5 square root of 6-8w^5	$- 5 w^{3} x^{5} \sqrt{6} - 8 w^{5}$
3766	Solve for y	3y+5-8y=2y-7-4y	$3 y + 5 - 8 y = 2 y - 7 - 4 y$
3767	Divide Using Long Polynomial Division	2x^4-3x^3-24x^2+76x-60 by 2x-3	$2 x^{4} - 3 x^{3} - 24 x^{2} + 76 x - 60$ by $2 x - 3$
3768	Solve for n	6/5=2/(5n)	$\frac{6}{5} = \frac{2}{5 n}$
3769	Factor	x+y+x^2y+xy^2-x^3-y^3	$x + y + x^{2} y + x y^{2} - x^{3} - y^{3}$
3770	Find the Perpendicular Line	y-4=5/2(x+3) , (-7,8)	$y - 4 = \frac{5}{2} (x + 3)$ , $(- 7, 8)$
3771	Solve for x	(1/3)^(2x^2-10x)=(1/27)^(-2x+42)	${(\frac{1}{3})}^{2 x^{2} - 10 x} = {(\frac{1}{27})}^{- 2 x + 42}$
3772	Simplify	(-7m^-2n^-1)^-2	${(- 7 m^{- 2} n^{- 1})}^{- 2}$
3773	Subtract	7/(2x^2+18x)-(5x)/(x^2+17x+72)	$\frac{7}{2 x^{2} + 18 x} - \frac{5 x}{x^{2} + 17 x + 72}$
3774	Simplify	(9x)/(2(x+1))-x/(x+1)	$\frac{9 x}{2 (x + 1)} - \frac{x}{x + 1}$
3775	Solve the System of Equations	5x-9y=6 -(5x+2y)=(17)	$5 x - 9 y = 6$ $- (5 x + 2 y) = (17)$
3776	Factor	-3a^2b+6a^3b^2	$- 3 a^{2} b + 6 a^{3} b^{2}$
3777	Simplify	(( cube root of 2xy^3)/( cube root of 4x^2y))^3	${(\frac{\sqrt[3]{2 x y^{3}}}{\sqrt[3]{4 x^{2} y}})}^{3}$
3778	Simplify	(4x)/(x+8)-(2x)/(x+8)	$\frac{4 x}{x + 8} - \frac{2 x}{x + 8}$
3779	Expand Using Sum/Difference Formulas	4p(p-7q)	$4 p (p - 7 q)$
3780	Evaluate	(3x)/2+1/6=(2x)/3-2/3	$\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$
3781	Find the LCM	x^2-x , 3-3x	$x^{2} - x$ , $3 - 3 x$
3782	Simplify	cube root of (y^3+5)^18	$\sqrt[3]{{(y^{3} + 5)}^{18}}$
3783	Simplify	( cube root of 6^4)/( cube root of 6^2)	$\frac{\sqrt[3]{6^{4}}}{\sqrt[3]{6^{2}}}$
3784	Evaluate	x^2-4=0	$x^{2} - 4 = 0$
3785	Find the Antiderivative	2/(x^2-1)	$\frac{2}{x^{2} - 1}$
3786	Find the LCD	(2+x)/(x^2-4) , 3/(x-2)	$\frac{2 + x}{x^{2} - 4}$ , $\frac{3}{x - 2}$
3787	Graph	y=2sin(1/4)(x+pi/4)-1	$y = 2 \sin (\frac{1}{4}) (x + \frac{π}{4}) - 1$
3788	Evaluate the Integral	integral of (8x-3)/((4x^2-3x)^4) with respect to x	$\int \frac{8 x - 3}{{(4 x^{2} - 3 x)}^{4}} d x$
3789	Solve by Addition/Elimination	-v+w=7 v+w=1	$- v + w = 7$ $v + w = 1$
3790	Multiply	4 square root of 6*2 square root of 3	$4 \sqrt{6} \cdot 2 \sqrt{3}$
3791	Simplify	4( cube root of 5y^3)(2 cube root of 50y)	$4 (\sqrt[3]{5 y^{3}}) (2 \sqrt[3]{50 y})$
3792	Convert to Radical Form	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
3793	Solve by Addition/Elimination	2x-6=4y 7y=-3x+9	$2 x - 6 = 4 y$ $7 y = - 3 x + 9$
3794	Solve for x	-6/7-1/(x+5)=2/(x+5)	$- \frac{6}{7} - \frac{1}{x + 5} = \frac{2}{x + 5}$
3795	Simplify	(2x^2y*4x^4y^3)/(6x^6y^6)	$\frac{2 x^{2} y \cdot 4 x^{4} y^{3}}{6 x^{6} y^{6}}$
3796	Simplify	(5w^3-w+2w^2+4)+(3w^2+1-4w)	$(5 w^{3} - w + 2 w^{2} + 4) + (3 w^{2} + 1 - 4 w)$
3797	Solve for x	1/2(x-4)^2=8	$\frac{1}{2} {(x - 4)}^{2} = 8$
3798	Find the Roots (Zeros)	P(x)=2^(5x+1)-8^(2x-3)	$P (x) = 2^{5 x + 1} - 8^{2 x - 3}$
3799	Evaluate	((3x^3y^0)/(x^-2))^4*((y^2x^-4)/(5xy^-8))^3	${(\frac{3 x^{3} y^{0}}{x^{- 2}})}^{4} \cdot {(\frac{y^{2} x^{- 4}}{5 x y^{- 8}})}^{3}$
3800	Simplify	square root of 3* cube root of 18	$\sqrt{3} \cdot \sqrt[3]{18}$