Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206601	Evaluate	5(25)^(-1/2)	$5 {(25)}^{- \frac{1}{2}}$
206602	Graph	0<-2x+2<=6	$0 < - 2 x + 2 \leq 6$
206603	Simplify the Radical Expression	(-45 square root of 156)/(9 square root of 3)	$\frac{- 45 \sqrt{156}}{9 \sqrt{3}}$
206604	Factor	x^2-12=x	$x^{2} - 12 = x$
206605	Simplify	(3/(2p^2))^(2/3)	${(\frac{3}{2 p^{2}})}^{\frac{2}{3}}$
206606	Determine if a Polynomial	-10y^3 square root of 2-y^4	$- 10 y^{3} \sqrt{2} - y^{4}$
206607	Write the Fraction in Simplest Form	(15q)/((3q^3)^2)	$\frac{15 q}{{(3 q^{3})}^{2}}$
206608	Solve the System of Equations	h+2k=3 3h+6k=9	$h + 2 k = 3$ $3 h + 6 k = 9$
206609	Simplify	-3x^-7y*x^5y^-3	$- 3 x^{- 7} y \cdot x^{5} y^{- 3}$
206610	Find the Domain and Range	y=2(3)^(x+2)-5	$y = 2 {(3)}^{x + 2} - 5$
206611	Simplify	(5a)/(24cf^4)+a/(36bc^4f^3)	$\frac{5 a}{24 c f^{4}} + \frac{a}{36 b c^{4} f^{3}}$
206612	Solve for a	(2a+b)/c=d	$\frac{2 a + b}{c} = d$
206613	Simplify	(a^3b^4)^-2(a^-3b^-5)^-4	${(a^{3} b^{4})}^{- 2} {(a^{- 3} b^{- 5})}^{- 4}$
206614	Solve the System of Equations	x^2-4y=12 y=-1/2x-4	$x^{2} - 4 y = 12$ $y = - \frac{1}{2} x - 4$
206615	Write as a Single Logarithm	1/2 log base 8 of x+ log base 8 of y	$\frac{1}{2} \log_{8} (x) + \log_{8} (y)$
206616	Simplify	2/5y+1/5x-0.2y-6+(-2)	$\frac{2}{5} y + \frac{1}{5} x - 0.2 y - 6 + (- 2)$
206617	Solve the Inequality for x	x-1/4<=-1/2	$x - \frac{1}{4} \leq - \frac{1}{2}$
206618	Solve the Inequality for m	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
206619	Simplify	cube root of (56x^5)/(7x^2)	$\sqrt[3]{\frac{56 x^{5}}{7 x^{2}}}$
206620	Evaluate	(1-5.1x)-(1.7x+5.4)=1	$(1 - 5.1 x) - (1.7 x + 5.4) = 1$
206621	Simplify	(-5x^2y^-1)^4	${(- 5 x^{2} y^{- 1})}^{4}$
206622	Find the Degree, Leading Term, and Leading Coefficient	f(t)=2(t-1)(t+2)(t-3)	$f (t) = 2 (t - 1) (t + 2) (t - 3)$
206623	Solve the Rational Equation for x	square root of 32-7x=x-6	$\sqrt{32 - 7 x} = x - 6$
206624	Write in Standard Form	(a+b)(a^3-3ab-b^2)	$(a + b) (a^{3} - 3 a b - b^{2})$
206625	Solve for x	square root of 5x = square root of 9x-24	$\sqrt{5 x} = \sqrt{9 x - 24}$
206626	Simplify	8xy^3 cube root of 24x^11y^8	$8 x y^{3} \sqrt[3]{24 x^{11} y^{8}}$
206627	Solve for x	1/(x^2+2x)+(x-1)/x=1	$\frac{1}{x^{2} + 2 x} + \frac{x - 1}{x} = 1$
206628	Evaluate	(10-(2-8)^2)÷(3^2+2^2)	$(10 - {(2 - 8)}^{2}) \div (3^{2} + 2^{2})$
206629	Multiply	-4 square root of 28x* square root of 7x^3	$- 4 \sqrt{28 x} \cdot \sqrt{7 x^{3}}$
206630	Solve for x	1/2x+4=2/3x	$\frac{1}{2} x + 4 = \frac{2}{3} x$
206631	Simplify	(3+ square root of 7)(5+3 square root of 28)	$(3 + \sqrt{7}) (5 + 3 \sqrt{28})$
206632	Factor	64x^3-1=0	$64 x^{3} - 1 = 0$
206633	Solve the Inequality for x	-x+6>-(2x+4)	$- x + 6 > - (2 x + 4)$
206634	Convert to Radical Form	(x^2+7)^(-1/3)	${(x^{2} + 7)}^{- \frac{1}{3}}$
206635	Evaluate	2 square root of x-3=12	$2 \sqrt{x - 3} = 12$
206636	Solve for x	2=x^2+x	$2 = x^{2} + x$
206637	Solve for x	square root of 5x^2-7=2x	$\sqrt{5 x^{2} - 7} = 2 x$
206638	Simplify	((x+1)^(2n)+4(x+1)^(2n+1)+6(x+1)^6-11)/(x(x+2))	$\frac{{(x + 1)}^{2 n} + 4 {(x + 1)}^{2 n + 1} + 6 {(x + 1)}^{6} - 11}{x (x + 2)}$
206639	Divide	((4/3)(2/5))÷(3/2)	$((\frac{4}{3}) (\frac{2}{5})) \div \frac{3}{2}$
206640	Simplify the Radical Expression	square root of square root of square root of x	$\sqrt{\sqrt{\sqrt{x}}}$
206641	Graph	y=1/2x-6 y=-x	$y = \frac{1}{2} x - 6$ $y = - x$
206642	Simplify	sin(2theta)sec(theta)^4	$\sin (2 θ) \sec^{4} (θ)$
206643	Simplify	4a+7c-2-5a+2c	$4 a + 7 c - 2 - 5 a + 2 c$
206644	Evaluate	(45m^-6p^2v^12)/(15m^-2p^8v^-4)	$\frac{45 m^{- 6} p^{2} v^{12}}{15 m^{- 2} p^{8} v^{- 4}}$
206645	Factor	k(x)=x^4+5x^3-x^2-17x+12	$k (x) = x^{4} + 5 x^{3} - x^{2} - 17 x + 12$
206646	Simplify	(x^2+x-12)/((x-2)/((3x^2+11x-4)/(x^2-4)))	$\frac{x^{2} + x - 12}{\frac{x - 2}{\frac{3 x^{2} + 11 x - 4}{x^{2} - 4}}}$
206647	Solve for x	x^2-ax-bx+ab=0	$x^{2} - a x - b x + a b = 0$
206648	Simplify	(4^2m^6t^8)/(4^6m^9t^-6)	$\frac{4^{2} m^{6} t^{8}}{4^{6} m^{9} t^{- 6}}$
206649	Solve the Inequality for n	-5\|4+n\|<-15	$- 5 \| 4 + n \| < - 15$
206650	Solve the Inequality for t	-11>t+7	$- 11 > t + 7$
206651	Simplify	(3x^3+2x^2-5x)-(8x^3-2x^2)	$(3 x^{3} + 2 x^{2} - 5 x) - (8 x^{3} - 2 x^{2})$
206652	Simplify	3^24^0+1^(1/2)5^0	$3^{2} \cdot 4^{0} + 1^{\frac{1}{2}} \cdot 5^{0}$
206653	Solve for x	198=3x^2	$198 = 3 x^{2}$
206654	Graph	y=-2cos(2)(x-pi)+1	$y = - 2 \cos (2) (x - π) + 1$
206655	Solve the Inequality for x	square root of 4x^2-12x+9>=9	$\sqrt{4 x^{2} - 12 x + 9} \geq 9$
206656	Multiply	square root of 13* fifth root of 13	$\sqrt{13} \cdot \sqrt[5]{13}$
206657	Find the Distance Between Two Points	(-4,3) and (7,6)	$(- 4, 3)$ and $(7, 6)$
206658	Simplify	Find the sum of -3x^2-4x+3 and 2x^2-x+3	Find the sum of $- 3 x^{2} - 4 x + 3$ and $2 x^{2} - x + 3$
206659	Evaluate	sin(x)^4-cos(x)^4	$\sin^{4} (x) - \cos^{4} (x)$
206660	Simplify	square root of 12( square root of 3+ square root of 5- square root of 6)	$\sqrt{12} (\sqrt{3} + \sqrt{5} - \sqrt{6})$
206661	Simplify	2m^4n^2(nm^3)^2	$2 m^{4} n^{2} \cdot {(n m^{3})}^{2}$
206662	Solve for x	x^3-6x^2+x-6=x^2+1	$x^{3} - 6 x^{2} + x - 6 = x^{2} + 1$
206663	Write in Standard Form	3x^2-2x+x^3+6	$3 x^{2} - 2 x + x^{3} + 6$
206664	Simplify	(10a^2-6ab+b^2)-(5a^2-2b^2)	$(10 a^{2} - 6 a b + b^{2}) - (5 a^{2} - 2 b^{2})$
206665	Simplify	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
206666	Simplify	i^8i^31i^28	$i^{8} \cdot i^{31} \cdot i^{28}$
206667	Simplify	(23)/(25)	$\frac{2 \cdot 3}{2 \cdot 5}$
206668	Solve for x	5/6=-4/(x+2)	$\frac{5}{6} = \frac{- 4}{x + 2}$
206669	Evaluate	square root of x=-9	$\sqrt{x} = - 9$
206670	Simplify the Radical Expression	fourth root of (5x)/(16b^4)	$\sqrt[4]{\frac{5 x}{16 b^{4}}}$
206671	Evaluate	cube root of (27(2)^4)/((3)^6)	$\sqrt[3]{\frac{27 {(2)}^{4}}{{(3)}^{6}}}$
206672	Find the Roots (Zeros)	f(x)=x^4+x^2-12	$f (x) = x^{4} + x^{2} - 12$
206673	Determine if a Polynomial	-3x-4x^2-5x^5+6x^3	$- 3 x - 4 x^{2} - 5 x^{5} + 6 x^{3}$
206674	Simplify	i^13i^11i^29*i^15	$i^{13} \cdot i^{11} \cdot i^{29} \cdot i^{15}$
206675	Simplify	(2- square root of 3)	$(2 - \sqrt{3})$
206676	Solve for z	7/8(y-z)=x	$\frac{7}{8} (y - z) = x$
206677	Simplify	((3^6)/(5^3))^(2/3)	${(\frac{3^{6}}{5^{3}})}^{\frac{2}{3}}$
206678	Evaluate	10sin(pi/8)*cos((7pi)/8)	$10 \sin (\frac{π}{8}) \cdot \cos (\frac{7 π}{8})$
206679	Solve for a	(6y-11)(6y+11)=ay^2-b	$(6 y - 11) (6 y + 11) = a y^{2} - b$
206680	Rationalize the Denominator	( cube root of x)/( cube root of 2)	$\frac{\sqrt[3]{x}}{\sqrt[3]{2}}$
206681	Factor	x^2-20=x	$x^{2} - 20 = x$
206682	Solve for x	3=(5^(1/2))(x^(1/2))	$3 = (5^{\frac{1}{2}}) (x^{\frac{1}{2}})$
206683	Solve the Inequality for p	2(6p-5)>=3(p-8)-1	$2 (6 p - 5) \geq 3 (p - 8) - 1$
206684	Describe the Transformation	y = square root of 1/2x	$y = \sqrt{\frac{1}{2} x}$
206685	Solve the System of Equations	y=x^2-6 8x+y=-18	$y = x^{2} - 6$ $8 x + y = - 18$
206686	Graph	y>=-x-1y	$y \geq - x - 1 y$
206687	Graph	3a^4b^(-)*2c^3	$3 a^{4} b^{-} \cdot 2 c^{3}$
206688	Solve for x	6* cube root of x=0	$6 \cdot \sqrt[3]{x} = 0$
206689	Solve for m	square root of m=11	$\sqrt{m} = 11$
206690	Solve for h	2>8-4/3h	$2 > 8 - \frac{4}{3} h$
206691	Multiply	4x^2 square root of 15xy*2xy square root of 98xy	$4 x^{2} \sqrt{15 x y} \cdot 2 x y \sqrt{98 x y}$
206692	Simplify	(10h^5k^3)/(24h^-2)	$\frac{10 h^{5} k^{3}}{24 h^{- 2}}$
206693	Evaluate the Function	f(-1)=3(2)^x	$f (- 1) = 3 {(2)}^{x}$
206694	Find All Complex Solutions	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
206695	Evaluate	25^x-12*5^x+27=0	$25^{x} - 12 \cdot 5^{x} + 27 = 0$
206696	Simplify	(10/(5r-4))÷((r+5)/(5r^2-49r+36))	$\frac{10}{5 r - 4} \div \frac{r + 5}{5 r^{2} - 49 r + 36}$
206697	Evaluate	(3x^3y^-1z^-1)/(x^-4y^0z^0)	$\frac{3 x^{3} y^{- 1} z^{- 1}}{x^{- 4} y^{0} z^{0}}$
206698	Write as a Single Logarithm	log base b of 6- log base b of 2	$\log_{b} (6) - \log_{b} (2)$
206699	Write in Standard Form	(x^2-8x-6)-(x^2-2x)	$(x^{2} - 8 x - 6) - (x^{2} - 2 x)$
206700	Simplify	(2x)^2(-4+4i)	${(2 x)}^{2} (- 4 + 4 i)$