Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
18701	Simplify	(12x^5+10x^3-8x^4-6x+4)-(7x^5+2x^4-12+6x-5x^3+x^2)	$(12 x^{5} + 10 x^{3} - 8 x^{4} - 6 x + 4) - (7 x^{5} + 2 x^{4} - 12 + 6 x - 5 x^{3} + x^{2})$
18702	Simplify the Radical Expression	square root of (28x^3y^2z)/(7xy^2)	$\sqrt{\frac{28 x^{3} y^{2} z}{7 x y^{2}}}$
18703	Solve the Inequality for x	3/4x>-1-(2x-3)	$\frac{3}{4} x > - 1 - (2 x - 3)$
18704	Simplify	2a^(1/2)(5a^(1/2)b^(1/4))^2	$2 a^{\frac{1}{2}} {(5 a^{\frac{1}{2}} b^{\frac{1}{4}})}^{2}$
18705	Simplify	x-(x+y)	$x - (x + y)$
18706	Solve for x	3x^2+12x-(x+4)=0	$3 x^{2} + 12 x - (x + 4) = 0$
18707	Find the Antiderivative	(2x+3)/(2-x)	$\frac{2 x + 3}{2 - x}$
18708	Solve the Inequality for x	(x^2-3x-18)/(13x-x^2-42)>=0	$\frac{x^{2} - 3 x - 18}{13 x - x^{2} - 42} \geq 0$
18709	Simplify	( fourth root of x^9y^8)/(4x^-1y^(-5/4))	$\frac{\sqrt[4]{x^{9} y^{8}}}{4 x^{- 1} y^{- \frac{5}{4}}}$
18710	Find the Degree, Leading Term, and Leading Coefficient	h(x)=-x^3+2x^2-15x^7	$h (x) = - x^{3} + 2 x^{2} - 15 x^{7}$
18711	Evaluate	(3a^3-15a^2b+12ab^2)/(3a^2b)	$\frac{3 a^{3} - 15 a^{2} b + 12 a b^{2}}{3 a^{2} b}$
18712	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,4) and has a slope of -3/5 ?	What is the equation of the line that passes through the point $(- 5, 4)$ and has a slope of $- \frac{3}{5}$ ?
18713	Evaluate the Limit	limit as x approaches 3 of ( square root of 12-x)/(x+3)	$lim_{x \to 3} \frac{\sqrt{12 - x}}{x + 3}$
18714	Evaluate the Limit	limit as x approaches 0 of f(x-1)g(x)	$lim_{x \to 0} f (x - 1) g (x)$
18715	Find the Domain and Range	f(x)=3(1/2)^(x-1)+2	$f (x) = 3 {(\frac{1}{2})}^{x - 1} + 2$
18716	Find the Asymptotes	h(x)=(x^3-1)/(x^2-x)	$h (x) = \frac{x^{3} - 1}{x^{2} - x}$
18717	Solve the Inequality for x	0<x<=3	$0 < x \leq 3$
18718	Divide Using Long Polynomial Division	(6w^3+7w^2-12w+15)/(2w^2+3w-5)	$\frac{6 w^{3} + 7 w^{2} - 12 w + 15}{2 w^{2} + 3 w - 5}$
18719	Evaluate	10+(12÷4)*2^2	$10 + (12 \div 4) \cdot 2^{2}$
18720	Evaluate	2 1/6-1 2/9÷3 2/3	$2 \frac{1}{6} - 1 \frac{2}{9} \div 3 \frac{2}{3}$
18721	Convert to a Decimal	3.5rad	$3.5$ radians
18722	Find the Antiderivative	(x^2)/(1+x)	$\frac{x^{2}}{1 + x}$
18723	Solve for x in Degrees	sin(x)=8/10	$\sin (x) = \frac{8}{10}$
18724	Solve the Inequality for t	-6t+5>-7	$- 6 t + 5 > - 7$
18725	Simplify	(x/(x+1)+1)*(1+x)/(2x-1)	$(\frac{x}{x + 1} + 1) \cdot \frac{1 + x}{2 x - 1}$
18726	Graph	y=(x+3)^2(2x+1)(2-x)	$y = {(x + 3)}^{2} (2 x + 1) (2 - x)$
18727	Solve the System of Equations	x=-4y x+5y=2	$x = - 4 y$ $x + 5 y = 2$
18728	Solve for x	2 natural log of 4x-1 = natural log of 23x+3	$2 \ln (4 x - 1) = \ln (23 x + 3)$
18729	Rationalize the Denominator	1/(( square root of 3)/2)	$\frac{1}{\frac{\sqrt{3}}{2}}$
18730	Simplify the Radical Expression	square root of 2x- square root of 8x^3+3 square root of 18x	$\sqrt{2 x} - \sqrt{8 x^{3}} + 3 \sqrt{18 x}$
18731	Solve the Rational Equation for x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
18732	Solve for x	log base 6 of 3x-11+ log base 6 of 2 = log base 6 of 4x-8	$\log_{6} (3 x - 11) + \log_{6} (2) = \log_{6} (4 x - 8)$
18733	Solve the Function Operation	f(x)=x-2 g(x)=2x^2+6x-7 Find: (gof)(x)	$f (x) = x - 2$ $g (x) = 2 x^{2} + 6 x - 7$ Find: $((g \circ f)) (x)$
18734	Graph	y=1/2x+3 x=-6	$y = \frac{1}{2} x + 3$ $x = - 6$
18735	Find the Exact Value	0.4-2(3.6-2.09)+5	$0.4 - 2 (3.6 - 2.09) + 5$
18736	Simplify	3/( square root of 2- square root of y)	$\frac{3}{\sqrt{2} - \sqrt{y}}$
18737	Simplify	(6q^4-3q^2)÷2q^2	$(6 q^{4} - 3 q^{2}) \div 2 q^{2}$
18738	Graph	H(x)=0 if x<0; 1 if x>=0	$H (x) = {\begin{cases} 0 & x < 0 \\ 1 & x \geq 0 \end{cases}$
18739	Solve for n	(2n)/-4=8	$\frac{2 n}{- 4} = 8$
18740	Integrate Using u-Substitution	integral from 1 to 2 of (e^(1/(x^3)))/(x^4) with respect to x	$\int_{1}^{2} \frac{e^{\frac{1}{x^{3}}}}{x^{4}} d x$
18741	Find dy/dx	2x^3+4-x^2+y^2-x=0	$2 x^{3} + 4 - x^{2} + y^{2} - x = 0$
18742	Convert to Radical Form	16^(1/4)*16^(1/4)	$16^{\frac{1}{4}} \cdot 16^{\frac{1}{4}}$
18743	Factor by Grouping	3m-mk+3k-k^2	$3 m - m k + 3 k - k^{2}$
18744	Simplify	((6 square root of x-x square root of 6)/(6x))/(x-6)	$\frac{(\frac{6 \sqrt{x} - x \sqrt{6}}{6 x})}{x - 6}$
18745	Solve for y	y/x+(2y)/(x+4)=3	$\frac{y}{x} + \frac{2 y}{x + 4} = 3$
18746	Find the Antiderivative	x natural log of x+2	$x \ln (x + 2)$
18747	Simplify	2(x+7)-18x+4/5	$2 (x + 7) - 18 x + \frac{4}{5}$
18748	Simplify	(2x^(-1/4)y^(3/4))^4	${(2 x^{- \frac{1}{4}} y^{\frac{3}{4}})}^{4}$
18749	Solve the Inequality for x	3\|x+5\|-16<=-7	$3 \| x + 5 \| - 16 \leq - 7$
18750	Solve for x	12-((2x)/3+x)=2	$12 - (\frac{2 x}{3} + x) = 2$
18751	Simplify	((3^-1)/(3^-2))^-1	${(\frac{3^{- 1}}{3^{- 2}})}^{- 1}$
18752	Find dy/dx	-y=-2x^2+3xy^3	$- y = - 2 x^{2} + 3 x y^{3}$
18753	Find the LCD	3/(4x) , 7/6 , 17/(18x)	$\frac{3}{4 x}$ , $\frac{7}{6}$ , $\frac{17}{18 x}$
18754	Find the GCF	8a^2 and 28a^5	$8 a^{2}$ and $28 a^{5}$
18755	Multiply	2*2/8	$2 \cdot \frac{2}{8}$
18756	Simplify the Radical Expression	3/( square root of 3-1)	$\frac{3}{\sqrt{3} - 1}$
18757	Evaluate	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
18758	Find Where Increasing/Decreasing	f(x)=-2(1/2)^x+1	$f (x) = - 2 {(\frac{1}{2})}^{x} + 1$
18759	Solve for d	p(x)=x^4-dx^3+8x^2-14x+16	$p (x) = x^{4} - d x^{3} + 8 x^{2} - 14 x + 16$
18760	Simplify	-7 2/3+(-5 1/2)+8 3/4	$- 7 \frac{2}{3} + (- 5 \frac{1}{2}) + 8 \frac{3}{4}$
18761	Evaluate the Limit	limit as x approaches 5 of (x^4-5x^3)/(25-x^2)	$lim_{x \to 5} \frac{x^{4} - 5 x^{3}}{25 - x^{2}}$
18762	Evaluate	square root of 3^2+-4^2	$\sqrt{3^{2} + - 4^{2}}$
18763	Evaluate Using L'Hospital's Rule	limit as x approaches infinity of ((x-4)/(x+3))^(2x+1)	$lim_{x \to \infty} {(\frac{x - 4}{x + 3})}^{2 x + 1}$
18764	Find dy/dx	-x^3=-4+4y^2-3y^3	$- x^{3} = - 4 + 4 y^{2} - 3 y^{3}$
18765	Graph	1/(1-x^2)	$\frac{1}{1 - x^{2}}$
18766	Simplify	12(1/4+2/3r)	$12 (\frac{1}{4} + \frac{2}{3} r)$
18767	Solve for x	1/(x+5)+x/(5-x)=(3x+7)/(x^2-25)	$\frac{1}{x + 5} + \frac{x}{5 - x} = \frac{3 x + 7}{x^{2} - 25}$
18768	Solve for x	(2x)/5=1/5+6/(x+3)	$\frac{2 x}{5} = \frac{1}{5} + \frac{6}{x + 3}$
18769	Solve for x	1/4x^3=2	$\frac{1}{4} x^{3} = 2$
18770	Factor	f(x)=x^4-6x^3-8x+48	$f (x) = x^{4} - 6 x^{3} - 8 x + 48$
18771	Simplify the Radical Expression	fourth root of 243a^6b^8c^9	$\sqrt[4]{243 a^{6} b^{8} c^{9}}$
18772	Simplify	square root of 8a^7b^5* square root of 2a^3b^3	$\sqrt{8 a^{7} b^{5}} \cdot \sqrt{2 a^{3} b^{3}}$
18773	Solve the Function Operation	f(x)=-x+2 if x<1; 2 if x=1; 6 if x>1 Find f(4)	$f (x) = {\begin{cases} - x + 2 & x < 1 \\ 2 & x = 1 \\ 6 & x > 1 \end{cases}$ Find $f (4)$
18774	Identify the Zeros and Their Multiplicities	V(t)=-t(t+2)^2(t-3)	$V (t) = - t {(t + 2)}^{2} (t - 3)$
18775	Simplify	(1/2x^3+y^4)+(3/2x^4y^3-11/4x^3+5/2y^4)	$(\frac{1}{2} x^{3} + y^{4}) + (\frac{3}{2} x^{4} y^{3} - \frac{11}{4} x^{3} + \frac{5}{2} y^{4})$
18776	Convert to a Percentage	15/25*100%	$\frac{15}{25} \cdot 100 %$
18777	Subtract	(14p^4+11p^2-9p^5)-(-14+5p^5-11p^2)	$(14 p^{4} + 11 p^{2} - 9 p^{5}) - (- 14 + 5 p^{5} - 11 p^{2})$
18778	Convert to Trigonometric Form	sin(x)^4-cos(x)^4	$\sin^{4} (x) - \cos^{4} (x)$
18779	Solve for θ	(tan(theta)-1)(cos(theta)-1)=0	$(\tan (θ) - 1) (\cos (θ) - 1) = 0$
18780	Simplify	9 square root of 7y-14 square root of 2x+23 square root of 2x-15 square root of 7y	$9 \sqrt{7 y} - 14 \sqrt{2 x} + 23 \sqrt{2 x} - 15 \sqrt{7 y}$
18781	Simplify the Radical Expression	-3 square root of 100ab^6	$- 3 \sqrt{100 a b^{6}}$
18782	Find the Second Derivative	x^(2/3)-3	$x^{\frac{2}{3}} - 3$
18783	Simplify	(30x^5y^3z)/(6x^3y^2z)	$\frac{30 x^{5} y^{3} z}{6 x^{3} y^{2} z}$
18784	Find the Derivative - d/dx	5^(3x^2-1)	$5^{3 x^{2} - 1}$
18785	Factor	x^(5/3)-9x^(-1/3)	$x^{\frac{5}{3}} - 9 x^{- \frac{1}{3}}$
18786	Divide Using Synthetic Division	Use synthetic division to find the result when x^4+x^3+3x^2-16x-4 is divided by x-2	Use synthetic division to find the result when $x^{4} + x^{3} + 3 x^{2} - 16 x - 4$ is divided by $x - 2$
18787	Solve for X	24^2+X^2=30^2	$24^{2} + X^{2} = 30^{2}$
18788	Solve for x	-646=-3(65-x)^(3/2)+2	$- 646 = - 3 {(65 - x)}^{\frac{3}{2}} + 2$
18789	Multiply	3(-2/11)	$3 (- \frac{2}{11})$
18790	Simplify	((32)^5)÷(3^22^3)	${(3 \cdot 2)}^{5} \div (3^{2} \cdot 2^{3})$
18791	Find the Antiderivative	square root of e^(4x-2)	$\sqrt{e^{4 x - 2}}$
18792	Multiply	square root of 81* square root of 36	$\sqrt{81} \cdot \sqrt{36}$
18793	Solve for x	((x-3)^3)/3+5=14	$\frac{{(x - 3)}^{3}}{3} + 5 = 14$
18794	Solve for f	f-2 = square root of f+4	$f - 2 = \sqrt{f + 4}$
18795	Solve for n	n+-6=11	$n + - 6 = 11$
18796	Find the Derivative - d/dx	(( natural log of x)^2)/x	$\frac{\ln^{2} (x)}{x}$
18797	Calculate the Square Root	square root of 252x^5y^7z^3	$\sqrt{252 x^{5} y^{7} z^{3}}$
18798	Find the LCD	4/(3(x-3)) , 11/(3x) , 8/9	$\frac{4}{3 (x - 3)}$ , $\frac{11}{3 x}$ , $\frac{8}{9}$
18799	Simplify	(9x^8y^5z^-2)/(21xy^9z^4)	$\frac{9 x^{8} y^{5} z^{- 2}}{21 x y^{9} z^{4}}$
18800	Solve the System of Equations	x=6 y=-x-4	$x = 6$ $y = - x - 4$