Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
168801	Solve for x	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
168802	Solve the Inequality for x	x/3>=-2	$\frac{x}{3} \geq - 2$
168803	Solve the Inequality for x	(x-7)>2x-3	$(x - 7) > 2 x - 3$
168804	Solve the Inequality for x	(x-3)/(x+2)<=0	$\frac{x - 3}{x + 2} \leq 0$
168805	Graph	f(x)=x^2(3x-5)^2	$f (x) = x^{2} {(3 x - 5)}^{2}$
168806	Divide	x^3-5x^2+3x-15 , x+3	$x^{3} - 5 x^{2} + 3 x - 15$ , $x + 3$
168807	Solve the Inequality for x	x-12<-1	$x - 12 < - 1$
168808	Solve the Inequality for x	-10>-x-5>-16	$- 10 > - x - 5 > - 16$
168809	Combine Like Terms	6+3y^2-3y^2-3y+7y^2-3y-4	$6 + 3 y^{2} - 3 y^{2} - 3 y + 7 y^{2} - 3 y - 4$
168810	Combine Like Terms	-4x-6-7y+2-6x-4+4y	$- 4 x - 6 - 7 y + 2 - 6 x - 4 + 4 y$
168811	Divide	1 1/2÷3	$1 \frac{1}{2} \div 3$
168812	Solve the System of Equations	x+2y-z=3 -2x-y+z=-1 6x-3y-z=-7	$x + 2 y - z = 3$ $- 2 x - y + z = - 1$ $6 x - 3 y - z = - 7$
168813	Find the x and y Intercepts	f(x)=(4x^2-4x)/(3x^2+4x-7)	$f (x) = \frac{4 x^{2} - 4 x}{3 x^{2} + 4 x - 7}$
168814	Graph	3/7(35x-14)<=(21x)/2+3	$\frac{3}{7} (35 x - 14) \leq \frac{21 x}{2} + 3$
168815	Solve for c	43=\|c+30\|	$43 = \| c + 30 \|$
168816	Simplify	2a+(a-(a+b))	$2 a + (a - (a + b))$
168817	Simplify	1/51/51/5*1/5	$\frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5} \cdot \frac{1}{5}$
168818	Find p(q(x))	p(x)=x^2+9 q(x) = square root of x+8	$p (x) = x^{2} + 9$ $q (x) = \sqrt{x + 8}$
168819	Solve the Inequality for x	x(x+1)>112-5x	$x (x + 1) > 112 - 5 x$
168820	Solve for x	5/6+1/4x=1/6	$\frac{5}{6} + \frac{1}{4} x = \frac{1}{6}$
168821	Solve for c	1/2=-3/8-5/6c	$\frac{1}{2} = - \frac{3}{8} - \frac{5}{6} c$
168822	Solve for x	1/x=3/(x+2)-2/(x-3)	$\frac{1}{x} = \frac{3}{x + 2} - \frac{2}{x - 3}$
168823	Solve for h	2/3h-3/2=-1/2h+2	$\frac{2}{3} h - \frac{3}{2} = - \frac{1}{2} h + 2$
168824	Simplify	(3b^2)/(4a^2)+(5b)/(3a)-1/(6a^3)	$\frac{3 b^{2}}{4 a^{2}} + \frac{5 b}{3 a} - \frac{1}{6 a^{3}}$
168825	Evaluate	(4^3)^-2*(-8)^3	${(4^{3})}^{- 2} \cdot {(- 8)}^{3}$
168826	Simplify	-2(-x/2)	$- 2 (- \frac{x}{2})$
168827	Simplify	( square root of 175)/5	$\frac{\sqrt{175}}{5}$
168828	Solve for x	3^x=0	$3^{x} = 0$
168829	Find the Exact Value	sin(-165 degrees )	$\sin (- 165 °)$
168830	Find the Exact Value	f^-1(4)	$f^{- 1} (4)$
168831	Evaluate Using the Given Value	8p+3q-18 when p=1/2 and q=7	$8 p + 3 q - 18$ when $p = \frac{1}{2}$ and $q = 7$
168832	Solve for x	(4(x+4))/5=-4-x	$\frac{4 (x + 4)}{5} = - 4 - x$
168833	Multiply	(k^2-5k-2)(k^2+2)	$(k^{2} - 5 k - 2) (k^{2} + 2)$
168834	Find the Exact Value	10^-8	$10^{- 8}$
168835	Write in Standard Form	2x^2-x-17=-5	$2 x^{2} - x - 17 = - 5$
168836	Solve for x	u=kx+yx ; for x	$u = k x + y x$ ; for $x$
168837	Solve the Inequality for x	square root of -x<0	$\sqrt{- x} < 0$
168838	Evaluate	(x^(4/3)x^(2/3))^(1/3)	${(x^{\frac{4}{3}} x^{\frac{2}{3}})}^{\frac{1}{3}}$
168839	Solve the Inequality for x	3x+4>2x	$3 x + 4 > 2 x$
168840	Solve for v	(4v+7)/15=(6v+2)/10	$\frac{4 v + 7}{15} = \frac{6 v + 2}{10}$
168841	Graph	y=(-2x^2)/(x^2-9)	$y = \frac{- 2 x^{2}}{x^{2} - 9}$
168842	Evaluate	natural log of e^5- natural log of e^12	$\ln (e^{5}) - \ln (e^{12})$
168843	Simplify	((x^2-9)/(3x^2+8x-3))÷((x-3)/(x+2))	$\frac{x^{2} - 9}{3 x^{2} + 8 x - 3} \div \frac{x - 3}{x + 2}$
168844	Solve for m	-4+2/3m=3+7/9m-8/9m	$- 4 + \frac{2}{3} m = 3 + \frac{7}{9} m - \frac{8}{9} m$
168845	Solve for x	(2x)/(x-1)-(2x-5)/(x^2-3x+2)=-3/(x-2)	$\frac{2 x}{x - 1} - \frac{2 x - 5}{x^{2} - 3 x + 2} = \frac{- 3}{x - 2}$
168846	Simplify	(-2+i)/(-4-5i)	$\frac{- 2 + i}{- 4 - 5 i}$
168847	Solve for x	\|x-5\|>=0	$\| x - 5 \| \geq 0$
168848	Find the Product	(2y+3)(3y^2+4y+5)	$(2 y + 3) (3 y^{2} + 4 y + 5)$
168849	Solve for y	(x+y)/z-a=b	$\frac{x + y}{z} - a = b$
168850	Solve for t	h(t)=-16t^2+96t	$h (t) = - 16 t^{2} + 96 t$
168851	Simplify	tan(-theta)sec(-theta)cot(theta)	$\tan (- θ) \cdot \sec (- θ) \cdot \cot (θ)$
168852	Find the Domain and Range	y=x^(2/3)	$y = x^{\frac{2}{3}}$
168853	Evaluate	-3/((-3)^2)	$\frac{- 3}{{(- 3)}^{2}}$
168854	Describe the Transformation	g(x)=f(x)+3	$g (x) = f (x) + 3$
168855	Simplify	5 square root of 24*3 square root of 10	$5 \sqrt{24} \cdot 3 \sqrt{10}$
168856	Factor	31xy^6z^4+4y^3z^2	$31 x y^{6} z^{4} + 4 y^{3} z^{2}$
168857	Evaluate	fourth root of 1/3* fourth root of 48	$\sqrt[4]{\frac{1}{3}} \cdot \sqrt[4]{48}$
168858	Graph	y+2=-3/4(x+4)	$y + 2 = - \frac{3}{4} (x + 4)$
168859	Solve for d	5+d>5-d	$5 + d > 5 - d$
168860	Solve for a	x=(-b)/(2a)	$x = \frac{- b}{2 a}$
168861	Multiply	(q^2-2q+5)(q^2-5)	$(q^{2} - 2 q + 5) (q^{2} - 5)$
168862	Simplify	(5x)/(x^2+3x-4)-(x+1)/(x-1)	$\frac{5 x}{x^{2} + 3 x - 4} - \frac{x + 1}{x - 1}$
168863	Expand the Logarithmic Expression	log of ( square root of x^3)/((x+6)^5)	$\log (\frac{\sqrt{x^{3}}}{{(x + 6)}^{5}})$
168864	Simplify	(sin(x)^2+cos(x)^2)/(sin(x))	$\frac{\sin^{2} (x) + \cos^{2} (x)}{\sin (x)}$
168865	Simplify	4/( square root of x-2- square root of x)	$\frac{4}{\sqrt{x - 2} - \sqrt{x}}$
168866	Solve for x	square root of 4-x+5=2	$\sqrt{4 - x} + 5 = 2$
168867	Graph	y>=2x+1 y<=2x-2	$y \geq 2 x + 1$ $y \leq 2 x - 2$
168868	Graph	x=(y^2)/2	$x = \frac{y^{2}}{2}$
168869	Multiply	-1/4*-2	$- \frac{1}{4} \cdot - 2$
168870	Simplify	(2w^-1)/((-3w^-3)^4)	$\frac{2 w^{- 1}}{{(- 3 w^{- 3})}^{4}}$
168871	Solve for h	g(h+2/3)=1	$g (h + \frac{2}{3}) = 1$
168872	Simplify	-3/-5	$\frac{- 3}{- 5}$
168873	Evaluate	(f-g)(2)	$(f - g) (2)$
168874	Solve for x	(2x+5)(6x-1)=120	$(2 x + 5) (6 x - 1) = 120$
168875	Graph	y^3=x	$y^{3} = x$
168876	Graph	f(x)=\|x\| if x<2; -x+4 if x>=2	$f (x) = {\begin{cases} \| x \| & x < 2 \\ - x + 4 & x \geq 2 \end{cases}$
168877	Simplify	(-27)^(-1/3)	${(- 27)}^{- \frac{1}{3}}$
168878	Solve for x	16x-(3x-(6-9x))=30x+(-(3x+2)-(x+3))	$16 x - (3 x - (6 - 9 x)) = 30 x + (- (3 x + 2) - (x + 3))$
168879	Simplify	3^(-1/2)	$3^{- \frac{1}{2}}$
168880	Find the x and y Intercepts	f(x)=(4x+18)/(-3x)	$f (x) = \frac{4 x + 18}{- 3 x}$
168881	Find the First Term	2n+3	$2 n + 3$
168882	Evaluate	(2pi)÷(pi/2)	$2 π \div \frac{π}{2}$
168883	Find the Slope and y-intercept	y-8=0	$y - 8 = 0$
168884	Solve for b	(b+6)/(4b^2)+3/(2b^2)=(b+4)/(2b^2)	$\frac{b + 6}{4 b^{2}} + \frac{3}{2 b^{2}} = \frac{b + 4}{2 b^{2}}$
168885	Solve for a	(5x^7y^2)(-4x^4y^5)=-20x^ay^b	$(5 x^{7} y^{2}) (- 4 x^{4} y^{5}) = - 20 x^{a} y^{b}$
168886	Solve for y	7y+4/y+2=-4/3	$7 y + \frac{4}{y} + 2 = - \frac{4}{3}$
168887	Graph	-3(x+1)<=6	$- 3 (x + 1) \leq 6$
168888	Evaluate	((3^6)/(y^-5))^2	${(\frac{3^{6}}{y^{- 5}})}^{2}$
168889	Solve the Inequality for x	55>=5x+5>-25	$55 \geq 5 x + 5 > - 25$
168890	Simplify	(x^-2y^-4)/(xy^-6)	$\frac{x^{- 2} y^{- 4}}{x y^{- 6}}$
168891	Graph	4x+1-1>=-8	$4 x + 1 - 1 \geq - 8$
168892	Combine Like Terms	3y^3-y-5-5-6y+5+6y^3	$3 y^{3} - y - 5 - 5 - 6 y + 5 + 6 y^{3}$
168893	Write as a Single Logarithm	log base 3 of 81	$\log_{3} (81)$
168894	Evaluate	(1/5)^2*(-3)^3	${(\frac{1}{5})}^{2} \cdot {(- 3)}^{3}$
168895	Solve for c	12=\|c+19\|	$12 = \| c + 19 \|$
168896	Evaluate	(2pi)/3+pi(1)	$\frac{2 π}{3} + π (1)$
168897	Find the Product	(x+2y)(x-2y)	$(x + 2 y) (x - 2 y)$
168898	Round to the Nearest Hundredth	4/33.146^3	$\frac{4}{3} \cdot 3.14 \cdot 6^{3}$
168899	Solve the Inequality for x	2x^2+5x<=12	$2 x^{2} + 5 x \leq 12$
168900	Solve for x	\|2x-8\|-2=16-2x	$\| 2 x - 8 \| - 2 = 16 - 2 x$