Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
208601	Evaluate	1-2/3+4/9-8/27+dots	$1 - \frac{2}{3} + \frac{4}{9} - \frac{8}{27} + d o t s$
208602	Simplify	(3x^2-2)+(5x^2+5x-1)	$(3 x^{2} - 2) + (5 x^{2} + 5 x - 1)$
208603	Find the Exact Value	sec(60 degrees )cot(30 degrees )	$\sec (60 °) \cot (30 °)$
208604	Solve for x	cube root of x+4 = cube root of 2x+3	$\sqrt[3]{x + 4} = \sqrt[3]{2 x + 3}$
208605	Find the x and y Intercepts	f(x)=(-2x)/3+2	$f (x) = \frac{- 2 x}{3} + 2$
208606	Solve for b	68=4+b^3	$68 = 4 + b^{3}$
208607	Simplify	n-(1-(n-(1-n)-1))	$n - (1 - (n - (1 - n) - 1))$
208608	Solve the Rational Equation for x	-8 square root of x-5=-16	$- 8 \sqrt{x - 5} = - 16$
208609	Evaluate	log base 4 of 8 log base 6 of 36- log base 3 of log base 5 of 5	$\log_{4} (8 \log_{6} (36)) - \log_{3} (\log_{5} (5))$
208610	Solve for x	2/5=30/(3x+9)	$\frac{2}{5} = \frac{30}{3 x + 9}$
208611	Simplify	9(3^-2)-(3^4)/(3^2)- square root of 2^6	$9 (3^{- 2}) - \frac{3^{4}}{3^{2}} - \sqrt{2^{6}}$
208612	Solve the Inequality for θ	tan(theta)<0	$\tan (θ) < 0$
208613	Evaluate	square root of (x-1)^2=1-x	$\sqrt{{(x - 1)}^{2}} = 1 - x$
208614	Solve for x	7(x+3)-3(x-2)=16(2x-3)+19	$7 (x + 3) - 3 (x - 2) = 16 (2 x - 3) + 19$
208615	Solve for x	(8x-1)(x^2-15)=0	$(8 x - 1) (x^{2} - 15) = 0$
208616	Factor	(6a^2+11a-10)÷(3a-2)	$(6 a^{2} + 11 a - 10) \div (3 a - 2)$
208617	Factor	a^3+1/8b^3	$a^{3} + \frac{1}{8} b^{3}$
208618	Simplify	(16 square root of xy)(-2 square root of xy)	$(16 \sqrt{x y}) (- 2 \sqrt{x y})$
208619	Solve the Rational Equation for x	square root of x-2x+7=0	$\sqrt{x} - 2 x + 7 = 0$
208620	Graph	16x^2+4y^2<=64 y>=-x^2+2	$16 x^{2} + 4 y^{2} \leq 64$ $y \geq - x^{2} + 2$
208621	Solve for r	C(r)=2pir	$C (r) = 2 π r$
208622	Simplify	(x^2(x+2)(x-4))/(6x(x^2+x-20))	$\frac{x^{2} (x + 2) (x - 4)}{6 x (x^{2} + x - 20)}$
208623	Simplify	6^5*(6^-2)^3	$6^{5} \cdot {(6^{- 2})}^{3}$
208624	Simplify	x/4-(5x)/4	$\frac{x}{4} - \frac{5 x}{4}$
208625	Write in Standard Form	y^2(-4y+5)-6y^2	$y^{2} (- 4 y + 5) - 6 y^{2}$
208626	Evaluate	sixth root of 2* square root of 2	$\sqrt[6]{2} \cdot \sqrt{2}$
208627	Solve by Factoring	18=6x+x(x-13)	$18 = 6 x + x (x - 13)$
208628	Find the GCF	8w^3v^2-3w^2v+11wv	$8 w^{3} v^{2} - 3 w^{2} v + 11 w v$
208629	Solve the System of Equations	y=-5x+1 y=1-5x	$y = - 5 x + 1$ $y = 1 - 5 x$
208630	Simplify	(m^(4/7)n^3)^7(m^4)^3	${(m^{\frac{4}{7}} n^{3})}^{7} {(m^{4})}^{3}$
208631	Solve for x	10^(x-1)=e	$10^{x - 1} = e$
208632	Simplify	3/( fourth root of 144)	$\frac{3}{\sqrt[4]{144}}$
208633	Simplify	2 1/2/2 1/3	$\frac{2 \frac{1}{2}}{2 \frac{1}{3}}$
208634	Solve for j	2+2(8347-4783)=-2j	$2 + 2 (8347 - 4783) = - 2 j$
208635	Evaluate	3(2^-1-(-3/2))+2^0	$3 (2^{- 1} - (- \frac{3}{2})) + 2^{0}$
208636	Simplify	7/(-2+ square root of 13)	$\frac{7}{- 2 + \sqrt{13}}$
208637	Simplify	((x^2+x+1)/((x+1)^2-x^2))÷((x+1/(1+x))/(x+x/(1+x)))	$\frac{x^{2} + x + 1}{{(x + 1)}^{2} - x^{2}} \div \frac{x + \frac{1}{1 + x}}{x + \frac{x}{1 + x}}$
208638	Find the x and y Intercepts	y=x^4+6x^3-x^2-6x	$y = x^{4} + 6 x^{3} - x^{2} - 6 x$
208639	Find the x and y Intercepts	f(x)=2 square root of x+4	$f (x) = 2 \sqrt{x + 4}$
208640	Graph	-5x+9<-6 or -3x+1>=7	$- 5 x + 9 < - 6$ or $- 3 x + 1 \geq 7$
208641	Find the Distance Between Two Points	(0,8) and (4,0)	$(0, 8)$ and $(4, 0)$
208642	Solve for c	square root of 3/2z+10=cz+8	$\sqrt{\frac{3}{2} z + 10} = c z + 8$
208643	Solve for x	(2x+1)^(1/2)=-5	${(2 x + 1)}^{\frac{1}{2}} = - 5$
208644	Write the Fraction in Simplest Form	(5(w)^2)/(10w^5)	$\frac{5 {(w)}^{2}}{10 w^{5}}$
208645	Evaluate	(8xy)^-2*(x^-5y^-1)/(xy)	${(8 x y)}^{- 2} \cdot \frac{x^{- 5} y^{- 1}}{x y}$
208646	Solve in Terms of the Arbitrary Variable n	n=2 , a=36	$n = 2$ , $a = 36$
208647	Solve the Inequality for θ	cos(theta)>0	$\cos (θ) > 0$
208648	Simplify	(-2r^2s^0)(rs^4)^2	$(- 2 r^{2} s^{0}) {(r s^{4})}^{2}$
208649	Simplify	Simplify cos(theta)+sin(theta)*tan(theta)	Simplify $\cos (θ) + \sin (θ) \cdot \tan (θ)$
208650	Simplify	sin(theta)csc(theta)-sin(theta)^2	$\sin (θ) \csc (θ) - \sin^{2} (θ)$
208651	Factor	4(x+y)+(x+y)^2	$4 (x + y) + {(x + y)}^{2}$
208652	Solve for f	2f+2-f=6+3f-4f-(-6)	$2 f + 2 - f = 6 + 3 f - 4 f - (- 6)$
208653	Solve for θ	(1+cos(theta))(tan(theta)-1)=0	$(1 + \cos (θ)) (\tan (θ) - 1) = 0$
208654	Simplify	((x-9)/(x-1))÷((x^2-10x+9)/(x^2-8x+7))	$\frac{x - 9}{x - 1} \div \frac{x^{2} - 10 x + 9}{x^{2} - 8 x + 7}$
208655	Determine if (2,2) is a Solution	y<=-2x+1 , (2,2)	$y \leq - 2 x + 1$ , $(2, 2)$
208656	Simplify	(( square root of 2)/2)÷(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div (- \frac{\sqrt{2}}{2})$
208657	Convert to Radical Form	3y^(-4/3)*2 cube root of y	$3 y^{- \frac{4}{3}} \cdot 2 \sqrt[3]{y}$
208658	Solve the System of Equations	y=x^2+18x+35 y=-x^2+2x+5	$y = x^{2} + 18 x + 35$ $y = - x^{2} + 2 x + 5$
208659	Simplify	Subtract -7x-9 from -4x^2+3x-5	Subtract $- 7 x - 9$ from $- 4 x^{2} + 3 x - 5$
208660	Simplify	((4k^3m^2)^3)/((5k^2m^-3)^-2)	$\frac{{(4 k^{3} m^{2})}^{3}}{{(5 k^{2} m^{- 3})}^{- 2}}$
208661	Solve for n	square root of -5+6n=n	$\sqrt{- 5 + 6 n} = n$
208662	Write in Exponential Form	a root of b root of 8	$\sqrt[a]{\sqrt[b]{8}}$
208663	Evaluate	(x+5)^(2/3)=4	${(x + 5)}^{\frac{2}{3}} = 4$
208664	Simplify	( square root of 7- square root of 5)/( square root of 12+ square root of 7)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{12} + \sqrt{7}}$
208665	Find the LCD	(9-x^2)/(3x) and (x^2+6x+9)/(3x)	$\frac{9 - x^{2}}{3 x}$ and $\frac{x^{2} + 6 x + 9}{3 x}$
208666	Simplify	(15n^-4p)/(5n^3p^-2)	$\frac{15 n^{- 4} p}{5 n^{3} p^{- 2}}$
208667	Simplify	(1/4gh)^3	${(\frac{1}{4} g h)}^{3}$
208668	Solve for x	6\|x\|=0	$6 \| x \| = 0$
208669	Solve for x	16^(x/2)=64	$16^{\frac{x}{2}} = 64$
208670	Simplify	-(x-y)	$- (x - y)$
208671	Simplify	6y^2 cube root of 189x^4y^3	$6 y^{2} \sqrt[3]{189 x^{4} y^{3}}$
208672	Evaluate	square root of a/3=3	$\sqrt{\frac{a}{3}} = 3$
208673	Graph	f(x)=7x-x^3-x^5	$f (x) = 7 x - x^{3} - x^{5}$
208674	Simplify	6/( square root of 3)*( square root of 2)/( square root of 3)	$\frac{6}{\sqrt{3}} \cdot \frac{\sqrt{2}}{\sqrt{3}}$
208675	Evaluate	10-5(12-9÷3)	$10 - 5 (12 - 9 \div 3)$
208676	Solve for y	square root of y^4+2y^2+1=-3	$\sqrt{y^{4} + 2 y^{2} + 1} = - 3$
208677	Simplify	plus or minus square root of 1/64	$\pm \sqrt{\frac{1}{64}}$
208678	Find the Domain and Range	f(x)=1/4 log base 5 of x	$f (x) = \frac{1}{4} \log_{5} (x)$
208679	Evaluate	6(-3+(5-8)^2)-2	$6 (- 3 + {(5 - 8)}^{2}) - 2$
208680	Simplify the Radical Expression	6 square root of a-2 square root of a+10 square root of b+2 square root of b	$6 \sqrt{a} - 2 \sqrt{a} + 10 \sqrt{b} + 2 \sqrt{b}$
208681	Solve for x	log base 4 of x^2+1 = log base 4 of -2x	$\log_{4} (x^{2} + 1) = \log_{4} (- 2 x)$
208682	Simplify	(-3x^2yz^3)/(9z^10x)	$\frac{- 3 x^{2} y z^{3}}{9 z^{10} x}$
208683	Solve for x	2(1/49)^(x-2)=14	$2 {(\frac{1}{49})}^{x - 2} = 14$
208684	Convert to a Decimal	500deg	$500$ degrees
208685	Write the Fraction in Simplest Form	(3r^-7)/(-3(r^-2)^5)	$\frac{3 r^{- 7}}{- 3 {(r^{- 2})}^{5}}$
208686	Write in Standard Form	(3+5i)(2-7i^4)	$(3 + 5 i) (2 - 7 i^{4})$
208687	Simplify	(x-1)(x+3)(3x-1)(x+2)	$(x - 1) (x + 3) (3 x - 1) (x + 2)$
208688	Solve for x	1/(2x)-3/(4x)=2/(x+4)	$\frac{1}{2 x} - \frac{3}{4 x} = \frac{2}{x + 4}$
208689	Evaluate	-1/( square root of 1-(1/4)^2)	$- \frac{1}{\sqrt{1 - {(\frac{1}{4})}^{2}}}$
208690	Solve for x	x square root of 2=3 square root of 338	$x \sqrt{2} = 3 \sqrt{338}$
208691	Simplify	7/(6z^3)+2/(3z)	$\frac{7}{6 z^{3}} + \frac{2}{3 z}$
208692	Find the Exact Value	arccos(sin((5pi)/2))	$\arccos (\sin (\frac{5 π}{2}))$
208693	Divide	(2n^3+20n^2+n)÷10n^2	$(2 n^{3} + 20 n^{2} + n) \div 10 n^{2}$
208694	Simplify	(4x)/(8x+8)*(x^2+8x+7)/(8x^3)	$\frac{4 x}{8 x + 8} \cdot \frac{x^{2} + 8 x + 7}{8 x^{3}}$
208695	Simplify	(4i)/(4+6i)	$\frac{4 i}{4 + 6 i}$
208696	Find the Roots (Zeros)	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
208697	Simplify	(x+y)(x^2+2xy-y^2)	$(x + y) (x^{2} + 2 x y - y^{2})$
208698	Multiply	5/61/53	$\frac{5}{6} \cdot \frac{1}{5} \cdot 3$
208699	Simplify	(2 square root of 5- square root of 10)*(5 square root of 2+ square root of 10)	$(2 \sqrt{5} - \sqrt{10}) \cdot (5 \sqrt{2} + \sqrt{10})$
208700	Simplify	-(2/3)^0	$- {(\frac{2}{3})}^{0}$