Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43801	Solve for x	x+3 = square root of -20+12x+3	$x + 3 = \sqrt{- 20 + 12 x + 3}$
43802	Solve the Inequality for x	e^x>2	$e^{x} > 2$
43803	Evaluate the Function	g(2+h)=x^2	$g (2 + h) = x^{2}$
43804	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+4x^2-23x+10 is divided by 3x-2	Use the long division method to find the result when $12 x^{3} + 4 x^{2} - 23 x + 10$ is divided by $3 x - 2$
43805	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3-5x^2-25x+12 is divided by x-3	Use synthetic division to find the result when $4 x^{3} - 5 x^{2} - 25 x + 12$ is divided by $x - 3$
43806	Evaluate	g(2+h)=x^2	$g (2 + h) = x^{2}$
43807	Simplify	(1/2u^2v^3)(2uv^4)	$(\frac{1}{2} u^{2} v^{3}) (2 u v^{4})$
43808	Subtract	(x^2+x+2)/(x+4)-(2x+22)/(x+4)	$\frac{x^{2} + x + 2}{x + 4} - \frac{2 x + 22}{x + 4}$
43809	Simplify the Radical Expression	2/(4+ square root of 3)	$\frac{2}{4 + \sqrt{3}}$
43810	Simplify	((2d-6)/(d^2+2d-48))÷((d-3)/(2d+16))	$\frac{2 d - 6}{d^{2} + 2 d - 48} \div \frac{d - 3}{2 d + 16}$
43811	Solve for x	1/2(6x+2)=5(x+3)	$\frac{1}{2} (6 x + 2) = 5 (x + 3)$
43812	Solve the Inequality for x	5(7-3x)>6(5-4x)	$5 (7 - 3 x) > 6 (5 - 4 x)$
43813	Solve for c	685(c-9)=35	$685 (c - 9) = 35$
43814	Divide	(2x square root of 6)÷( square root of x)	$2 x \sqrt{6} \div \sqrt{x}$
43815	Find the Second Derivative	y=cos(2x-6)	$y = \cos (2 x - 6)$
43816	Evaluate	natural log of x=-1	$\ln (x) = - 1$
43817	Simplify	((z^2y)^(1/4))/(z^(-1/2)y^(1/2))	$\frac{{(z^{2} y)}^{\frac{1}{4}}}{z^{- \frac{1}{2}} y^{\frac{1}{2}}}$
43818	Solve the Inequality for x	square root of x+2+6=5	$\sqrt{x + 2} + 6 = 5$
43819	Solve the Rational Equation for x	square root of x-1-3=0	$\sqrt{x - 1} - 3 = 0$
43820	Solve for x	5/(x-4)+1=40/(x^2-16)	$\frac{5}{x - 4} + 1 = \frac{40}{x^{2} - 16}$
43821	Find the End Behavior	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
43822	Evaluate	4*(2^2-(1+0.5))	$4 \cdot (2^{2} - (1 + 0.5))$
43823	Simplify	sin(135 degrees )	$\sin (135 °)$
43824	Evaluate	tan(x)^2=3	$\tan^{2} (x) = 3$
43825	Simplify	-x^2+2-1+6x^2-4x^2	$- x^{2} + 2 - 1 + 6 x^{2} - 4 x^{2}$
43826	Evaluate	(m^5n^3)^7*m^2n	${(m^{5} n^{3})}^{7} \cdot m^{2} n$
43827	Simplify	(1/13)/(1-( square root of 170)/13)	$\frac{\frac{1}{13}}{1 - \frac{\sqrt{170}}{13}}$
43828	Graph	y=2x-x^2+6	$y = 2 x - x^{2} + 6$
43829	Simplify the Radical Expression	sixth root of 16x^2y^4	$\sqrt[6]{16 x^{2} y^{4}}$
43830	Graph	(x-3)^2+y^2<=9	${(x - 3)}^{2} + y^{2} \leq 9$
43831	Find the Roots (Zeros)	y=4(x-1)^2-4	$y = 4 {(x - 1)}^{2} - 4$
43832	Find the Focus	x^2-2x+y-1=0	$x^{2} - 2 x + y - 1 = 0$
43833	Solve for x	x^2+14-x=-10x	$x^{2} + 14 - x = - 10 x$
43834	Solve for x	-x^2+10x=x^2-6x	$- x^{2} + 10 x = x^{2} - 6 x$
43835	Find the Exact Value	1*1/2	$1 \cdot \frac{1}{2}$
43836	Simplify the Radical Expression	- square root of 5q^3*3 square root of 35	$- \sqrt{5 q^{3}} \cdot 3 \sqrt{35}$
43837	Graph	F(x)=((x-3)(x+1))/(x-1)	$F (x) = \frac{(x - 3) (x + 1)}{x - 1}$
43838	Expand Using Sum/Difference Formulas	a(8+2b-6)	$a (8 + 2 b - 6)$
43839	Simplify the Radical Expression	fourth root of (x^24z^12)/81	$\sqrt[4]{\frac{x^{24} z^{12}}{81}}$
43840	Solve for x	-1+5.8x=1-(9.1x+10)+8.5x	$- 1 + 5.8 x = 1 - (9.1 x + 10) + 8.5 x$
43841	Find the Antiderivative	xtan(x)^2	$x \tan^{2} (x)$
43842	Find the Derivative - d/dx	xcos(x)^3	$x \cos^{3} (x)$
43843	Simplify	8a^4b^3(2a^4b^5-8a^3b)b^3	$8 a^{4} b^{3} (2 a^{4} b^{5} - 8 a^{3} b) b^{3}$
43844	Convert from Radians to Degrees	arccos(2.3/2.8)	$\arccos (\frac{2.3}{2.8})$
43845	Simplify	(3/(x^2+14x+48))÷(3/(10x+60))	$\frac{3}{x^{2} + 14 x + 48} \div \frac{3}{10 x + 60}$
43846	Find the Sum of the Infinite Geometric Series	120+40+40/3+40/9	$120 + 40 + \frac{40}{3} + \frac{40}{9}$
43847	Graph Using a Table of Values	y=1/(x-3)	$y = \frac{1}{x - 3}$
43848	Solve for m	5-10m=3m^2	$5 - 10 m = 3 m^{2}$
43849	Solve for w	w^3-12=-76	$w^{3} - 12 = - 76$
43850	Find the x and y Intercepts	F(x)=5*(1/6)^x	$F (x) = 5 \cdot {(\frac{1}{6})}^{x}$
43851	Simplify	4/(3- square root of 3)	$\frac{4}{3 - \sqrt{3}}$
43852	Graph	g(x)=1/(2(x+2))+3	$g (x) = \frac{1}{2 (x + 2)} + 3$
43853	Multiply	31/23 1/4	$3 \cdot \frac{1}{2} \cdot 3 \frac{1}{4}$
43854	Evaluate	h=0.3+5.5t-4.9t^2	$h = 0.3 + 5.5 t - 4.9 t^{2}$
43855	Simplify	(x^2-3x+4)+(x^3+3x-4)	$(x^{2} - 3 x + 4) + (x^{3} + 3 x - 4)$
43856	Solve the System of Inequalities	2d-5<=x<=2d+5	$2 d - 5 \leq x \leq 2 d + 5$
43857	Simplify the Radical Expression	((z^4)/(z^-5))^(1/6)	${(\frac{z^{4}}{z^{- 5}})}^{\frac{1}{6}}$
43858	Identify the Zeros and Their Multiplicities	f(x)=6(x^2+4)^2(x-5)^3	$f (x) = 6 {(x^{2} + 4)}^{2} {(x - 5)}^{3}$
43859	Solve for m	6(1+3m)=-8(-2m+5)-4	$6 (1 + 3 m) = - 8 (- 2 m + 5) - 4$
43860	Simplify	5(-3+2i)-(3i-15)	$5 (- 3 + 2 i) - (3 i - 15)$
43861	Find the Derivative - d/dx	natural log of 3+x-x^3	$\ln (3 + x - x^{3})$
43862	Solve the Absolute Value Inequality for b	4=\|2b+11\|	$4 = \| 2 b + 11 \|$
43863	Evaluate	1+1/x	$1 + \frac{1}{x}$
43864	Solve the Inequality for y	5>=7+y	$5 \geq 7 + y$
43865	Simplify	-3/2-4/3(x+2)	$- \frac{3}{2} - \frac{4}{3} (x + 2)$
43866	Find the Derivative - d/dx	y = square root of cos(2x)-sin(x)	$y = \sqrt{\cos (2 x) - \sin (x)}$
43867	Solve the Inequality for x	10+x^2<0	$10 + x^{2} < 0$
43868	Multiply	square root of 7* ninth root of 7	$\sqrt{7} \cdot \sqrt[9]{7}$
43869	Evaluate	y=(1/2)^0	$y = {(\frac{1}{2})}^{0}$
43870	Solve the Inequality for x	x-1<=2x-3<=3x-5	$x - 1 \leq 2 x - 3 \leq 3 x - 5$
43871	Graph	tan(theta)>0 , sin(theta)>0	$\tan (θ) > 0$ , $\sin (θ) > 0$
43872	Solve the Inequality for x	-9<1-2x<=-2	$- 9 < 1 - 2 x \leq - 2$
43873	Subtract	3/(x^2-25)-2/(x+5)	$\frac{3}{x^{2} - 25} - \frac{2}{x + 5}$
43874	Simplify	(24a^12b^6)^0(7a^6b)^-1	${(24 a^{12} b^{6})}^{0} {(7 a^{6} b)}^{- 1}$
43875	Find the Product	(7-4n)*6	$(7 - 4 n) \cdot 6$
43876	Evaluate Using the Given Value	2a+ac^2-a^2c-2c for a=1 1/3 and c=-1 2/3	$2 a + a c^{2} - a^{2} c - 2 c$ for $a = 1 \frac{1}{3}$ and $c = - 1 \frac{2}{3}$
43877	Solve the Inequality for x	5\|x+3\|-7<=13	$5 \| x + 3 \| - 7 \leq 13$
43878	Simplify	(x^2)/( square root of 12x^3)	$\frac{x^{2}}{\sqrt{12 x^{3}}}$
43879	Find the Critical Points	(x^2+2)/(2x-1)	$\frac{x^{2} + 2}{2 x - 1}$
43880	Solve for x	(x^2-8x+15)/(x-5)=2	$\frac{x^{2} - 8 x + 15}{x - 5} = 2$
43881	Factor	5x^2(x-2y)-15x(x-2y)	$5 x^{2} (x - 2 y) - 15 x (x - 2 y)$
43882	Simplify	(((2x^3)^2(4x^4)^2)/(8x^6))^3-312x^8	${(\frac{{(2 x^{3})}^{2} {(4 x^{4})}^{2}}{8 x^{6}})}^{3} - 312 x^{8}$
43883	Evaluate	-6-4(3*2)+5^2	$- 6 - 4 (3 \cdot 2) + 5^{2}$
43884	Simplify	2/( square root of 18q^3)	$\frac{2}{\sqrt{18 q^{3}}}$
43885	Solve for a	19/4-3 1/2a=-1/4a+3/2	$\frac{19}{4} - 3 \frac{1}{2} a = - \frac{1}{4} a + \frac{3}{2}$
43886	Evaluate the Function	g(-3)=-2(-3)^3-5	$g (- 3) = - 2 {(- 3)}^{3} - 5$
43887	Solve for x	y^2=x^2	$y^{2} = x^{2}$
43888	Solve the Function Operation	If P(x)=x^2+x+3 ; find P(7)	If $P (x) = x^{2} + x + 3$ ; find $P (7)$
43889	Evaluate	-5/8+1/4(-4/5)	$- \frac{5}{8} + \frac{1}{4} (- \frac{4}{5})$
43890	Evaluate	6/( square root of 9-(6)^2)	$\frac{6}{\sqrt{9 - {(6)}^{2}}}$
43891	Simplify	5/6+7/10	$\frac{5}{6} + \frac{7}{10}$
43892	Graph	y>=4x-3 y>=2x+4 x<=2	$y \geq 4 x - 3$ $y \geq 2 x + 4$ $x \leq 2$
43893	Simplify	-8y-(x-4x)+3y	$- 8 y - (x - 4 x) + 3 y$
43894	Solve the System of Equations	3x+y=-9 3x+y=-4	$3 x + y = - 9$ $3 x + y = - 4$
43895	Evaluate	-1+3(((10-12)^3)÷(-16))	$- 1 + 3 ({(10 - 12)}^{3} \div (- 16))$
43896	Evaluate	(3x-12)/(3x)=(4x^2-9)/(4x^2-16x+15)	$\frac{3 x - 12}{3 x} = \frac{4 x^{2} - 9}{4 x^{2} - 16 x + 15}$
43897	Solve for x	1/3x-3<-1 5/6	$\frac{1}{3} x - 3 < - 1 \frac{5}{6}$
43898	Solve for z	-z/4=24	$- \frac{z}{4} = 24$
43899	Solve for c	c^3=27	$c^{3} = 27$
43900	Write the Fraction in Simplest Form	(4c^3b^4)/(2(cb^-3)^-5)	$\frac{4 c^{3} b^{4}}{2 {(c b^{- 3})}^{- 5}}$