Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208701	Graph	y=1-3cos(3(x-pi/3))	$y = 1 - 3 \cos (3 (x - \frac{π}{3}))$
208702	Solve for y	1/3y+x=1	$\frac{1}{3} y + x = 1$
208703	Evaluate	(y*y^(1/3))^(3/2)	${(y \cdot y^{\frac{1}{3}})}^{\frac{3}{2}}$
208704	Simplify	cube root of square root of 125	$\sqrt[3]{\sqrt{125}}$
208705	Simplify	( square root of 2+ square root of 3)/( square root of 2- square root of 3)	$\frac{\sqrt{2} + \sqrt{3}}{\sqrt{2} - \sqrt{3}}$
208706	Solve for x	2 log of 2- log of x = log of x+3- log of 7	$2 \log (2) - \log (x) = \log (x + 3) - \log (7)$
208707	Find the x and y Intercepts	1/3x-1/6y=-2/3	$\frac{1}{3} x - \frac{1}{6} y = - \frac{2}{3}$
208708	Find the Roots (Zeros)	cos(x)-sin(x)	$\cos (x) - \sin (x)$
208709	Write the Fraction in Simplest Form	(20z^-9)/((-5z)^2)	$\frac{20 z^{- 9}}{{(- 5 z)}^{2}}$
208710	Solve for x	square root of x^2-4x+4>0	$\sqrt{x^{2} - 4 x + 4} > 0$
208711	Simplify	((2x^3)/y)^3*1/(6x^3)	${(\frac{2 x^{3}}{y})}^{3} \cdot \frac{1}{6 x^{3}}$
208712	Solve the Absolute Value Inequality for b	\|b+4\|-2=4	$\| b + 4 \| - 2 = 4$
208713	Multiply	3 square root of 6*2 square root of 3	$3 \sqrt{6} \cdot 2 \sqrt{3}$
208714	Simplify	x-24>=9	$x - 24 \geq 9$
208715	Evaluate	(52x^6)/(13x^-7)	$\frac{52 x^{6}}{13 x^{- 7}}$
208716	Solve for x	natural log of x+1=0	$\ln (x) + 1 = 0$
208717	Solve for x	2/(x+n)=n/(x+3)	$\frac{2}{x + n} = \frac{n}{x + 3}$
208718	Simplify the Radical Expression	(b^2)^(1/9)	${(b^{2})}^{\frac{1}{9}}$
208719	Write in Slope-Intercept Form	2x-y<1	$2 x - y < 1$
208720	Simplify	5(43-6)	$5 (43 - 6)$
208721	Solve the Inequality for b	-3b<=0.75	$- 3 b \leq 0.75$
208722	Evaluate	- log of 2*10^-2	$- \log (2) \cdot 10^{- 2}$
208723	Evaluate	3((2pi)/3)	$3 (\frac{2 π}{3})$
208724	Graph	f(x)=4x-9-x^3	$f (x) = 4 x - 9 - x^{3}$
208725	Solve for x	1/(3x^2)=(x+3)/(2x^2)-1/(6x^2)	$\frac{1}{3 x^{2}} = \frac{x + 3}{2 x^{2}} - \frac{1}{6 x^{2}}$
208726	Simplify the Radical Expression	(3/(2p^2))^(2/3)	${(\frac{3}{2 p^{2}})}^{\frac{2}{3}}$
208727	Simplify the Radical Expression	y square root of 28x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{28 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
208728	Simplify the Radical Expression	square root of (56x^5y^5)/(7xy)	$\sqrt{\frac{56 x^{5} y^{5}}{7 x y}}$
208729	Simplify	square root of (2- square root of 5)^2+ square root of (2+ square root of 5)^2	$\sqrt{{(2 - \sqrt{5})}^{2}} + \sqrt{{(2 + \sqrt{5})}^{2}}$
208730	Evaluate	26/5226/5125/50	$\frac{26}{52} \cdot \frac{26}{51} \cdot \frac{25}{50}$
208731	Solve for x	3/(5x+10)=x/(x+2)	$\frac{3}{5 x + 10} = \frac{x}{x + 2}$
208732	Simplify	(2x+10)/(x^2+x-2)+2/(x+2)+x/(x-1)	$\frac{2 x + 10}{x^{2} + x - 2} + \frac{2}{x + 2} + \frac{x}{x - 1}$
208733	Evaluate	( fifth root of 96a^7)/( fifth root of 3a^2)	$\frac{\sqrt[5]{96 a^{7}}}{\sqrt[5]{3 a^{2}}}$
208734	Solve for x	1/2(2x-6)=x-3	$\frac{1}{2} (2 x - 6) = x - 3$
208735	Divide Using Long Polynomial Division	(-15x^5+10x^4+15x^2-37x+18)÷(3x-2)	$(- 15 x^{5} + 10 x^{4} + 15 x^{2} - 37 x + 18) \div (3 x - 2)$
208736	Divide Using Long Polynomial Division	(6x^3+x-1)÷(x+2)	$(6 x^{3} + x - 1) \div (x + 2)$
208737	Find the x and y Intercepts	y=8x-1/x-7	$y = 8 x - \frac{1}{x} - 7$
208738	Simplify the Radical Expression	square root of (121a^2b^2)/(9h^4)	$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$
208739	Simplify	((x^3y^-2)/(z^-5))^-4	${(\frac{x^{3} y^{- 2}}{z^{- 5}})}^{- 4}$
208740	Graph	f(x)=sin(x)-cos(x)	$f (x) = \sin (x) - \cos (x)$
208741	Find the Inverse	V(r)=4/3pir^3	$V (r) = \frac{4}{3} π r^{3}$
208742	Solve for x	square root of 4x+3 = square root of 9x+13	$\sqrt{4 x} + 3 = \sqrt{9 x + 13}$
208743	Solve for x	3x(2x-4)=0	$3 x (2 x - 4) = 0$
208744	Solve for x	(2x^2)/(x-2)=(-7x+6)/(2-x)	$\frac{2 x^{2}}{x - 2} = \frac{- 7 x + 6}{2 - x}$
208745	Solve by Substitution	b=3/4a a+b=21	$b = \frac{3}{4} a$ $a + b = 21$
208746	Solve for b	square root of b-6+ square root of b=3	$\sqrt{b - 6} + \sqrt{b} = 3$
208747	Convert to a Percentage	0.4 as a percentage	$0.4$ as a percentage
208748	Write in Slope-Intercept Form	(7,2) and (2,12)	$(7, 2)$ and $(2, 12)$
208749	Evaluate	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
208750	Solve for b	(b^2)=b^8	$(b^{2}) = b^{8}$
208751	Solve for a	29=a^2	$29 = a^{2}$
208752	Solve for x	x/(x-2)+x/(x^2-4)=0	$\frac{x}{x - 2} + \frac{x}{x^{2} - 4} = 0$
208753	Evaluate	(3^-2a^0)/(b^-2)	$\frac{3^{- 2} a^{0}}{b^{- 2}}$
208754	Simplify	7(3x-4(2-x))	$7 (3 x - 4 (2 - x))$
208755	Subtract	(3m-4n-7)-(8m+n-6)	$(3 m - 4 n - 7) - (8 m + n - 6)$
208756	Solve for m	square root of 18-2m = square root of 2m-10	$\sqrt{18 - 2 m} = \sqrt{2 m - 10}$
208757	Solve for x	log base 3 of 2x^2+4- log base 3 of 3x+6=0	$\log_{3} (2 x^{2} + 4) - \log_{3} (3 x + 6) = 0$
208758	Solve by Addition/Elimination	6w-8z=16 3w-4z=8	$6 w - 8 z = 16$ $3 w - 4 z = 8$
208759	Simplify	( fourth root of 2^-2)/( sixth root of 2^-9)	$\frac{\sqrt[4]{2^{- 2}}}{\sqrt[6]{2^{- 9}}}$
208760	Simplify	-x^2z(2z^2+4xz^3)+xz^2(xz+5x^3z)+x^2z^3(3x^2z+4xz)	$- x^{2} z (2 z^{2} + 4 x z^{3}) + x z^{2} (x z + 5 x^{3} z) + x^{2} z^{3} (3 x^{2} z + 4 x z)$
208761	Solve for x	-3/(x+3)+1/2=x/6-1/2	$\frac{- 3}{x + 3} + \frac{1}{2} = \frac{x}{6} - \frac{1}{2}$
208762	Divide	(12 square root of 48)/(4 square root of 3)	$\frac{12 \sqrt{48}}{4 \sqrt{3}}$
208763	Solve for x	2(3x+5)=2(2x-3)+2x	$2 (3 x + 5) = 2 (2 x - 3) + 2 x$
208764	Simplify	(x^4y^5)/(x^2y^5)	$\frac{x^{4} y^{5}}{x^{2} y^{5}}$
208765	Simplify	x^0y^-2	$x^{0} y^{- 2}$
208766	Solve for y	y=200+150+50-30	$y = 200 + 150 + 50 - 30$
208767	Solve for m	25=-5+2/3m	$25 = - 5 + \frac{2}{3} m$
208768	Convert to Rectangular	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
208769	Solve for x	(x+3)/3=(10+4)/4	$\frac{x + 3}{3} = \frac{10 + 4}{4}$
208770	Solve for x	9/2=(7x-8)/(x+1)	$\frac{9}{2} = \frac{7 x - 8}{x + 1}$
208771	Simplify	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
208772	Solve for x	2^x>=32	$2^{x} \geq 32$
208773	Solve the Inequality for x	-7(x-2)+1<x	$- 7 (x - 2) + 1 < x$
208774	Find the x and y Intercepts	(x^2-5x)/(2x^2)	$\frac{x^{2} - 5 x}{2 x^{2}}$
208775	Find the Product	(2x+5y)(3x^2-4xy+2y^2)	$(2 x + 5 y) (3 x^{2} - 4 x y + 2 y^{2})$
208776	Simplify	( square root of 108-6 square root of 3)^2	${(\sqrt{108} - 6 \sqrt{3})}^{2}$
208777	Graph	y=-2-4sin(pi/2(x-1/3))	$y = - 2 - 4 \sin (\frac{π}{2} (x - \frac{1}{3}))$
208778	Write in Standard Form	(8x^2+8x)-(-9x^2+8x)	$(8 x^{2} + 8 x) - (- 9 x^{2} + 8 x)$
208779	Simplify	(2x^3+x^2-4x)-(9x^3-3x^2)	$(2 x^{3} + x^{2} - 4 x) - (9 x^{3} - 3 x^{2})$
208780	Find the Roots (Zeros)	f(x)=(x^2-1)(9x^2+16x+21)	$f (x) = (x^{2} - 1) (9 x^{2} + 16 x + 21)$
208781	Solve for v	v^3=216	$v^{3} = 216$
208782	Solve for x	(x-6)^2-x(x+8)=2	${(x - 6)}^{2} - x (x + 8) = 2$
208783	Solve for m	7(2m-1)-3/5m=6/5(4-3m)	$7 (2 m - 1) - \frac{3}{5} m = \frac{6}{5} (4 - 3 m)$
208784	Find the Roots (Zeros)	x^6-15=5x^4-x^2	$x^{6} - 15 = 5 x^{4} - x^{2}$
208785	Solve the Inequality for h	-5h>-250	$- 5 h > - 250$
208786	Simplify	29u+4d-13u+2u+7d	$29 u + 4 d - 13 u + 2 u + 7 d$
208787	Divide	(6 square root of 15)÷2 square root of 5	$6 \sqrt{15} \div 2 \sqrt{5}$
208788	Find the Degree	(x^3y^5)/9+y	$\frac{x^{3} y^{5}}{9} + y$
208789	Simplify	x^2+2-1+6x^2-4x^2	$x^{2} + 2 - 1 + 6 x^{2} - 4 x^{2}$
208790	Simplify	((-12x^3y^4)/(4x^3y^4))^2	${(\frac{- 12 x^{3} y^{4}}{4 x^{3} y^{4}})}^{2}$
208791	Solve for y	square root of y+ square root of y+2=6	$\sqrt{y + \sqrt{y + 2}} = 6$
208792	Solve for x	(2x)/(x-1)=5/(x-3)	$\frac{2 x}{x - 1} = \frac{5}{x - 3}$
208793	Graph	y=2tan(4)(x-pi)-1	$y = 2 \tan (4) (x - π) - 1$
208794	Solve for x	square root of 4x+3 = square root of 7x	$\sqrt{4 x + 3} = \sqrt{7 x}$
208795	Find the Holes in the Graph	(4x^2-4x)/(3x^2+4x-7)	$\frac{4 x^{2} - 4 x}{3 x^{2} + 4 x - 7}$
208796	Graph	x+y>=1 x+2y>1	$x + y \geq 1$ $x + 2 y > 1$
208797	Divide	(3c^4+6c^3-2c+4)(c+2)^-1	$(3 c^{4} + 6 c^{3} - 2 c + 4) {(c + 2)}^{- 1}$
208798	Graph	7x+4y>=-32 x-y<-3	$7 x + 4 y \geq - 32$ $x - y < - 3$
208799	Evaluate	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
208800	Simplify	(16a^(1/8)b^-6c^(3/5))/(2^3a^(3/8)b^(-1/5)c^(2/5))	$\frac{16 a^{\frac{1}{8}} b^{- 6} c^{\frac{3}{5}}}{2^{3} a^{\frac{3}{8}} b^{- \frac{1}{5}} c^{\frac{2}{5}}}$