Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
205801	Simplify the Radical Expression	13(8^(3/4))-4*8^(3/4)	$13 (8^{\frac{3}{4}}) - 4 \cdot 8^{\frac{3}{4}}$
205802	Multiply	(5x^2+25x)/2*(4x)/(x+5)	$\frac{5 x^{2} + 25 x}{2} \cdot \frac{4 x}{x + 5}$
205803	Solve the System of Equations	3x-1/2y=-7/2 x+2y=1	$3 x - \frac{1}{2} y = - \frac{7}{2}$ $x + 2 y = 1$
205804	Evaluate	12+((2^3)÷(2/3))-2	$12 + (2^{3} \div \frac{2}{3}) - 2$
205805	Simplify the Radical Expression	- square root of 6+ square root of 150	$- \sqrt{6} + \sqrt{150}$
205806	Solve for t	V=(kt)/P	$V = \frac{k t}{P}$
205807	Simplify	cube root of (x^2y)/27	$\sqrt[3]{\frac{x^{2} y}{27}}$
205808	Write in Standard Form	2y^2-5x+12y+23=0	$2 y^{2} - 5 x + 12 y + 23 = 0$
205809	Find the Degree, Leading Term, and Leading Coefficient	-1/9x^5-7x^3+3x^4+1	$- \frac{1}{9} x^{5} - 7 x^{3} + 3 x^{4} + 1$
205810	Simplify/Condense	log base 3 of a^7+( log base 3 of a^4-2* log base 3 of b)	$\log_{3} (a^{7}) + (\log_{3} (a^{4}) - 2 \cdot \log_{3} (b))$
205811	Evaluate	limit as x approaches infinity of cos(x)	$lim_{x \to \infty} \cos (x)$
205812	Simplify	square root of 2*0.5 square root of 8	$\sqrt{2} \cdot 0.5 \sqrt{8}$
205813	Write in Exponential Form	cube root of 2^3	$\sqrt[3]{2^{3}}$
205814	Simplify	((3x^2-22x+7)/10)÷((21x^2+14x-7)/(70x+70))	$\frac{3 x^{2} - 22 x + 7}{10} \div \frac{21 x^{2} + 14 x - 7}{70 x + 70}$
205815	Find the End Behavior	f(x)=-144x+4x^4+36x^3+40x^2-224	$f (x) = - 144 x + 4 x^{4} + 36 x^{3} + 40 x^{2} - 224$
205816	Solve for x	square root of x-2 = square root of 3x+5	$\sqrt{x - 2} = \sqrt{3 x + 5}$
205817	Solve for R	s=4.95 square root of R	$s = 4.95 \sqrt{R}$
205818	Find the Holes in the Graph	y=(x^2-25)/(x-4)	$y = \frac{x^{2} - 25}{x - 4}$
205819	Solve the Inequality for m	-20>18+m	$- 20 > 18 + m$
205820	Convert to Radical Form	1/((x+3)^(-5/2))	$\frac{1}{{(x + 3)}^{- \frac{5}{2}}}$
205821	Simplify the Radical Expression	(27x)^(5/3)	${(27 x)}^{\frac{5}{3}}$
205822	Solve for x	square root of x=2-x^2	$\sqrt{x} = 2 - x^{2}$
205823	Simplify	(a/2)^4((8a^5)^2)/(a^-1a^10)	${(\frac{a}{2})}^{4} \frac{{(8 a^{5})}^{2}}{a^{- 1} a^{10}}$
205824	Simplify	(x^-2-y^-2)/(x^-2y^-2)	$\frac{x^{- 2} - y^{- 2}}{x^{- 2} y^{- 2}}$
205825	Evaluate	(4m^4n^3p^3)/(3m^2n^2p^4)	$\frac{4 m^{4} n^{3} p^{3}}{3 m^{2} n^{2} p^{4}}$
205826	Solve for a	h^3+g/a=m	$h^{3} + \frac{g}{a} = m$
205827	Find the Degree, Leading Term, and Leading Coefficient	3x^2+8x^4-15x^3+7	$3 x^{2} + 8 x^{4} - 15 x^{3} + 7$
205828	Simplify	(9r^4)1/2	$(9 r^{4}) \frac{1}{2}$
205829	Solve the Inequality for x	log base 9 of 4x-5< log base 9 of -2x+1	$\log_{9} (4 x - 5) < \log_{9} (- 2 x + 1)$
205830	Simplify the Radical Expression	fifth root of (-y)^10	$\sqrt[5]{{(- y)}^{10}}$
205831	Find the Inverse	y = square root of x+6+2	$y = \sqrt{x + 6 + 2}$
205832	Simplify	(s^2t^3)/r*(sr^3)/t	$\frac{s^{2} t^{3}}{r} \cdot \frac{s r^{3}}{t}$
205833	Convert to Radical Form	-(16/81)^(3/4)	$- {(\frac{16}{81})}^{\frac{3}{4}}$
205834	Simplify	( fifth root of a^11)/( square root of a)	$\frac{\sqrt[5]{a^{11}}}{\sqrt{a}}$
205835	Find the Inverse	y=2- square root of x	$y = 2 - \sqrt{x}$
205836	Solve for x	2/3x+1/2=31/6	$\frac{2}{3} x + \frac{1}{2} = \frac{31}{6}$
205837	Factor	14k^2(10k^2+5)-2k(10k^2+5)	$14 k^{2} (10 k^{2} + 5) - 2 k (10 k^{2} + 5)$
205838	Solve for H	S=2LW+(2L+2W)H	$S = 2 L W + (2 L + 2 W) H$
205839	Solve the Inequality for d	-3(2+d)<=15	$- 3 (2 + d) \leq 15$
205840	Solve for x	3/4x^2+12=0	$\frac{3}{4} x^{2} + 12 = 0$
205841	Solve by Graphing	x-3y=-15 x=-3	$x - 3 y = - 15$ $x = - 3$
205842	Simplify	((b^2)/(b^7))^(1/20)	${(\frac{b^{2}}{b^{7}})}^{\frac{1}{20}}$
205843	Simplify	-(21w^5x^2)/(7w^4x^5)	$- \frac{21 w^{5} x^{2}}{7 w^{4} x^{5}}$
205844	Multiply	(2xy^2)(x^2-5x+3y)	$(2 x y^{2}) (x^{2} - 5 x + 3 y)$
205845	Solve for x	(1/9)^(-2x^2-10)=81^(8x-10)	${(\frac{1}{9})}^{- 2 x^{2} - 10} = 81^{8 x - 10}$
205846	Evaluate	(x^2y^5)/(xy^4)	$\frac{x^{2} y^{5}}{x y^{4}}$
205847	Simplify	(x^2+2x-3)/((x-4)/((2x^2+5x-3)/(x^2-16)))	$\frac{x^{2} + 2 x - 3}{\frac{x - 4}{\frac{2 x^{2} + 5 x - 3}{x^{2} - 16}}}$
205848	Simplify	( cube root of 125)^-2	${(\sqrt[3]{125})}^{- 2}$
205849	Simplify	-9/(-4- square root of 2)	$\frac{- 9}{- 4 - \sqrt{2}}$
205850	Solve the Inequality for x	(x^2+2x+3)/(x+1)<=x+2	$\frac{x^{2} + 2 x + 3}{x + 1} \leq x + 2$
205851	Evaluate	(8-3)^2-((4+1)^3)/(5^2)	${(8 - 3)}^{2} - \frac{{(4 + 1)}^{3}}{5^{2}}$
205852	Simplify	(6x^2y^-3)/(x^-5)	$\frac{6 x^{2} y^{- 3}}{x^{- 5}}$
205853	Solve for b	-20+4b=19+12+7b	$- 20 + 4 b = 19 + 12 + 7 b$
205854	Simplify	(48x-6+3y)/3	$\frac{48 x - 6 + 3 y}{3}$
205855	Solve for l	V=lwh for l	$V = l w h$ for $l$
205856	Simplify	(2x)/(-4x+5)	$\frac{2 x}{- 4 x + 5}$
205857	Evaluate	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
205858	Solve for b	b^2+36=0	$b^{2} + 36 = 0$
205859	Graph	x-4y<=24 y<=2x+1	$x - 4 y \leq 24$ $y \leq 2 x + 1$
205860	Find All Complex Solutions	15/(x(x+4))=(x+2)/(x+4)	$\frac{15}{x (x + 4)} = \frac{x + 2}{x + 4}$
205861	Solve for z	-5z-12=14+14-z	$- 5 z - 12 = 14 + 14 - z$
205862	Solve the Inequality for t	t+1/5>2/3t	$t + \frac{1}{5} > \frac{2}{3} t$
205863	Evaluate	4*2^-1	$4 \cdot 2^{- 1}$
205864	Graph	y>x-1 y>-2x	$y > x - 1$ $y > - 2 x$
205865	Solve for X	X/-3+11=8	$\frac{X}{- 3} + 11 = 8$
205866	Find the Domain and Range	y=2+sin(4x)	$y = 2 + \sin (4 x)$
205867	Find the Second Term	a_n=((n+2)!)/(n+2)	$a_{n} = \frac{(n + 2)!}{n + 2}$
205868	Write as a Single Logarithm	1/2* log base 3 of 81	$\frac{1}{2} \cdot \log_{3} (81)$
205869	Find the Product	a(4a+3)	$a (4 a + 3)$
205870	Solve for x	3(x-5)=12+2x	$3 (x - 5) = 12 + 2 x$
205871	Solve the Inequality for x	2x+y>5	$2 x + y > 5$
205872	Solve for x	square root of 2x-88 = square root of x/6	$\sqrt{2 x - 88} = \sqrt{\frac{x}{6}}$
205873	Simplify	3^(1/2)*3^(1/4)	$3^{\frac{1}{2}} \cdot 3^{\frac{1}{4}}$
205874	Factor	3x^5+9x^3+12x	$3 x^{5} + 9 x^{3} + 12 x$
205875	Simplify	-4^4(4^7)	$- 4^{4} (4^{7})$
205876	Solve for s	s+s+8+12=38	$s + s + 8 + 12 = 38$
205877	Evaluate	log base 7 of 5x+3=3	$\log_{7} (5 x) + 3 = 3$
205878	Simplify	(2^3+1)^0-5^-2+5	${(2^{3} + 1)}^{0} - 5^{- 2} + 5$
205879	Write in Standard Form	y=(x+1)(x^2+3x+2)	$y = (x + 1) (x^{2} + 3 x + 2)$
205880	Simplify	8y+15x+3y-12x-3x	$8 y + 15 x + 3 y - 12 x - 3 x$
205881	Simplify	( square root of 448x^3y^5)/( square root of 4x^3y)	$\frac{\sqrt{448 x^{3} y^{5}}}{\sqrt{4 x^{3} y}}$
205882	Simplify	(2 square root of 5r)/( square root of m^3)	$\frac{2 \sqrt{5 r}}{\sqrt{m^{3}}}$
205883	Simplify	fourth root of 256x^2* cube root of 27x	$\sqrt[4]{256 x^{2}} \cdot \sqrt[3]{27 x}$
205884	Simplify	(12x^5y^8)/(3y^3)*(2(x^6)^2)/(y^-3)	$\frac{12 x^{5} y^{8}}{3 y^{3}} \cdot \frac{2 {(x^{6})}^{2}}{y^{- 3}}$
205885	Simplify	( square root of 8x^2* square root of 12x^3)/( square root of 4x^4)x^2	$\frac{\sqrt{8 x^{2}} \cdot \sqrt{12 x^{3}}}{\sqrt{4 x^{4}}} x^{2}$
205886	Simplify	(-20xy^8)/(3x^-4y^2)*(-5x^-3y^5)/((-2y)^3)	$\frac{- 20 x y^{8}}{3 x^{- 4} y^{2}} \cdot \frac{- 5 x^{- 3} y^{5}}{{(- 2 y)}^{3}}$
205887	Simplify	(x-3y)/(x^3-y^3)-(2x)/(y^3-x^3)	$\frac{x - 3 y}{x^{3} - y^{3}} - \frac{2 x}{y^{3} - x^{3}}$
205888	Solve for x	12+ cube root of 2x-7=15	$12 + \sqrt[3]{2 x - 7} = 15$
205889	Solve for x	square root of 25-x^2=x+1	$\sqrt{25 - x^{2}} = x + 1$
205890	Evaluate	(9x^2-8)-(-4x^2-5x)	$(9 x^{2} - 8) - (- 4 x^{2} - 5 x)$
205891	Simplify	-1/2i^3( square root of -9-4)-3i^2	$- \frac{1}{2} i^{3} (\sqrt{- 9} - 4) - 3 i^{2}$
205892	Simplify	((5a^0b^4)/(c^-3))^2	${(\frac{5 a^{0} b^{4}}{c^{- 3}})}^{2}$
205893	Evaluate	2cos(pi/6)^2	$2 \cos^{2} (\frac{π}{6})$
205894	Find the Degree, Leading Term, and Leading Coefficient	x^4-1-1/10x^5	$x^{4} - 1 - \frac{1}{10} x^{5}$
205895	Simplify	(3x^14y^5z^15)/(6x^9y^2z)	$\frac{3 x^{14} y^{5} z^{15}}{6 x^{9} y^{2} z}$
205896	Solve for z	6(z-7)=z	$6 (z - 7) = z$
205897	Simplify the Radical Expression	( square root of 1200)/( square root of 4)	$\frac{\sqrt{1200}}{\sqrt{4}}$
205898	Simplify	((2a+b)/a-(a+2b)/b)((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{2 a + b}{a} - \frac{a + 2 b}{b}) (\frac{a - b}{b^{2} + a b} + \frac{a + b}{b^{2} - a b})$
205899	Divide	(6x^4+5x^3-1)/(3x^2+x-2)	$\frac{6 x^{4} + 5 x^{3} - 1}{3 x^{2} + x - 2}$
205900	Solve by Factoring	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$