Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
33801	Simplify	(2x)/(x^2+x-2)-5/(3x+6)	$\frac{2 x}{x^{2} + x - 2} - \frac{5}{3 x + 6}$
33802	Graph	4x-y>=4 and y<2	$4 x - y \geq 4$ and $y < 2$
33803	Simplify	-(12h^-4)/((4h^-5)^4)	$- \frac{12 h^{- 4}}{{(4 h^{- 5})}^{4}}$
33804	Find the Derivative - d/dt	-1/t	$- \frac{1}{t}$
33805	Simplify	2x^2+6y^2-4y+5y^2+5x^2	$2 x^{2} + 6 y^{2} - 4 y + 5 y^{2} + 5 x^{2}$
33806	Graph	y+x=4x+5	$y + x = 4 x + 5$
33807	Simplify	-3^-1x^-1	$- 3^{- 1} x^{- 1}$
33808	Find the Exact Value	sin((18pi)/4)	$\sin (\frac{18 π}{4})$
33809	Solve the Inequality for m	2^(3m-4)>4	$2^{3 m - 4} > 4$
33810	Solve for t	1/7(t-9)=4	$\frac{1}{7} (t - 9) = 4$
33811	Graph	-8<=2/5(k-2)	$- 8 \leq \frac{2}{5} (k - 2)$
33812	Find the Excluded Values	-1/((x+3)(x-4))=1/(2x+1)	$\frac{- 1}{(x + 3) (x - 4)} = \frac{1}{2 x + 1}$
33813	Simplify	3 log base 3 of 27	$3 \log_{3} (27)$
33814	Evaluate the Integral	integral of 1/(4^(2ax)) with respect to x	$\int \frac{1}{4^{2 a x}} d x$
33815	Solve for n	(x^2)^n*x^3=x^9	${(x^{2})}^{n} \cdot x^{3} = x^{9}$
33816	Find the Exact Value	\|5\|-\|-5\|-(-5)	$\| 5 \| - \| - 5 \| - (- 5)$
33817	Simplify	(3x1/4)/(9x4/3)	$\frac{3 x \frac{1}{4}}{9 x \frac{4}{3}}$
33818	Multiply	-1/2*2/1	$- \frac{1}{2} \cdot \frac{2}{1}$
33819	Find the Degree, Leading Term, and Leading Coefficient	-7y-4z^5-6z^3x^4	$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$
33820	Simplify	((x^(-1/2)y^(4/5))/(x^(2/3)y^(1/3)))^3	${(\frac{x^{- \frac{1}{2}} y^{\frac{4}{5}}}{x^{\frac{2}{3}} y^{\frac{1}{3}}})}^{3}$
33821	Simplify	square root of -64	$\sqrt[2]{- 64}$
33822	Simplify	(10^(3/4)*4^(3/4))^-4	${(10^{\frac{3}{4}} \cdot 4^{\frac{3}{4}})}^{- 4}$
33823	Find dx/dy	e^y+xy=e	$e^{y} + x y = e$
33824	Simplify the Radical Expression	( fifth root of a^11)/( square root of a)	$\frac{\sqrt[5]{a^{11}}}{\sqrt{a}}$
33825	Solve by Factoring	x^4+3=13-9x^4	$x^{4} + 3 = 13 - 9 x^{4}$
33826	Simplify	(1/2)/(1/4)	$\frac{\frac{1}{2}}{\frac{1}{4}}$
33827	Graph	y=(x+2)(2x+1)(x+3)	$y = (x + 2) (2 x + 1) (x + 3)$
33828	Solve the Inequality for p	-18<=-3p	$- 18 \leq - 3 p$
33829	Solve the Inequality for x	3/4<=x-7/8<5/6	$\frac{3}{4} \leq x - \frac{7}{8} < \frac{5}{6}$
33830	Solve for x	2/5x-4=8-3/5x	$\frac{2}{5} x - 4 = 8 - \frac{3}{5} x$
33831	Solve for x	x-2(2-3/2x)=2(4-x)+10	$x - 2 (2 - \frac{3}{2} x) = 2 (4 - x) + 10$
33832	Simplify	1/3 square root of 15* square root of 6	$\frac{1}{3} \sqrt{15} \cdot \sqrt{6}$
33833	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x^2+x-8x^3+6x^7-1	$f (x) = 4 x^{2} + x - 8 x^{3} + 6 x^{7} - 1$
33834	Evaluate	2 natural log of e-4 natural log of 1+3 log base 2 of 2+1/2 log base 6 of 1	$2 \ln (e) - 4 \ln (1) + 3 \log_{2} (2) + \frac{1}{2} \log_{6} (1)$
33835	Solve for x	9^(3x-5)<2	$9^{3 x - 5} < 2$
33836	Graph	y>=3x-2 and y<=1/2x+3	$y \geq 3 x - 2$ and $y \leq \frac{1}{2} x + 3$
33837	Solve by Graphing	x-2y=6 y=2x	$x - 2 y = 6$ $y = 2 x$
33838	Factor	(x-2y)^2-3x(x-2y)	${(x - 2 y)}^{2} - 3 x (x - 2 y)$
33839	Solve the System of Equations	-5x+2y-5z=-4 y-5z=-7 -4x+2y+5z=5	$- 5 x + 2 y - 5 z = - 4$ $y - 5 z = - 7$ $- 4 x + 2 y + 5 z = 5$
33840	Simplify	sin(x)(sec(x)-csc(x))	$\sin (x) (\sec (x) - \csc (x))$
33841	Find the Exact Value	log base 125 of 1/25	$\log_{125} (\frac{1}{25})$
33842	Find the Degree, Leading Term, and Leading Coefficient	p(x)=(x+1)(x-2)(x-4)	$p (x) = (x + 1) (x - 2) (x - 4)$
33843	Find dz/dx	z=(20x-xy)^3	$z = {(20 x - x y)}^{3}$
33844	Determine if an Ellipse	(x^2)/9+(y^2)/4=1	$\frac{x^{2}}{9} + \frac{y^{2}}{4} = 1$
33845	Solve the Inequality for y	\|y-20\|<4	$\| y - 20 \| < 4$
33846	Solve the Inequality for a	a+1<=3	$a + 1 \leq 3$
33847	Solve for x	sec(x)tan(x) = square root of 2	$\sec (x) \tan (x) = \sqrt{2}$
33848	Determine if Parallel	Are the lines defined by the equations y=x+3 and y=2x+3 parallel?	Are the lines defined by the equations $y = x + 3$ and $y = 2 x + 3$ parallel?
33849	Find the Integral	1/(x square root of x^2-1)	$\frac{1}{x \sqrt{x^{2} - 1}}$
33850	Simplify	(4 cube root of 4m^2)(5m cube root of 2m^2)	$(4 \sqrt[3]{4 m^{2}}) (5 m \sqrt[3]{2 m^{2}})$
33851	Simplify	9+2(x+7)+7(y+2)	$9 + 2 (x + 7) + 7 (y + 2)$
33852	Simplify	3/(x+6)+x/(x^2+x-30)	$\frac{3}{x + 6} + \frac{x}{x^{2} + x - 30}$
33853	Solve for x in Degrees	8cos(x)sin(x)+9sin(x)=0	$8 \cos (x) \sin (x) + 9 \sin (x) = 0$
33854	Find the Domain and Range	f(x)=x+2 if x<=2; x^2 if x>2	$f (x) = {\begin{cases} x + 2 & x \leq 2 \\ x^{2} & x > 2 \end{cases}$
33855	Describe the Transformation	f(x) = cube root of x , g(x)=-2 cube root of x	$f (x) = \sqrt[3]{x}$ , $g (x) = - 2 \sqrt[3]{x}$
33856	Solve for u	12/7=6u	$\frac{12}{7} = 6 u$
33857	Simplify	(2 square root of x)/( square root of x)	$\frac{2 \sqrt{x}}{\sqrt{x}}$
33858	Evaluate	4x^0+5	$4 x^{0} + 5$
33859	Evaluate	-4+x<=9	$- 4 + x \leq 9$
33860	Find the Antiderivative	1/(2x^(1/2))	$\frac{1}{2 x^{\frac{1}{2}}}$
33861	Graph Using a Table of Values	y = cube root of x+1	$y = \sqrt[3]{x + 1}$
33862	Solve for x in Radians	2sin(x)^2-3sin(x)=-1	$2 \sin^{2} (x) - 3 \sin (x) = - 1$
33863	Solve the Inequality for c	2(5c-4)>=5(2c+8)	$2 (5 c - 4) \geq 5 (2 c + 8)$
33864	Evaluate the Integral	integral of (2t^3+1)/((t^4+2t)^3) with respect to t	$\int \frac{2 t^{3} + 1}{{(t^{4} + 2 t)}^{3}} d t$
33865	Simplify	(4-8x)/(-28x+14)	$\frac{4 - 8 x}{- 28 x + 14}$
33866	Write in Standard Form	(x^2-2y)(x^2+2y)	$(x^{2} - 2 y) (x^{2} + 2 y)$
33867	Find the Asymptotes	(x^2+x-20)/(2x^2+10x)	$\frac{x^{2} + x - 20}{2 x^{2} + 10 x}$
33868	Find dy/dx	(x+y)^5=y^3	${(x + y)}^{5} = y^{3}$
33869	Evaluate	cube root of (27a^3)/(b^6)	$\sqrt[3]{\frac{27 a^{3}}{b^{6}}}$
33870	Find the Product	(4y^a-6x^b)(4y^a+6x^b)	$(4 y^{a} - 6 x^{b}) (4 y^{a} + 6 x^{b})$
33871	Simplify	cube root of 3x^3*x	$\sqrt[3]{3 x^{3} \cdot x}$
33872	Simplify	((6x)/7)÷(2/(5x))	$\frac{6 x}{7} \div \frac{2}{5 x}$
33873	Evaluate the Limit	limit as x approaches 0 of f(x)-g(x)	$lim_{x \to 0} f (x) - g (x)$
33874	Simplify	((a^2)/(2^b))^4	${(\frac{a^{2}}{2^{b}})}^{4}$
33875	Simplify	2 1/3-6x+4 1/3-3x	$2 \frac{1}{3} - 6 x + 4 \frac{1}{3} - 3 x$
33876	Evaluate the Limit	limit as x approaches negative infinity of -(-1/(2 natural log of 5)*5^(-x^2))	$lim_{x \to - \infty} - (- \frac{1}{2 \ln (5)} \cdot 5^{- x^{2}})$
33877	Evaluate	2pi*2/3	$2 π \cdot \frac{2}{3}$
33878	Solve the Inequality for n	2\|3n+3\|<12	$2 \| 3 n + 3 \| < 12$
33879	Simplify	(4^-8)/(4^-7)*4^0	$\frac{4^{- 8}}{4^{- 7}} \cdot 4^{0}$
33880	Simplify	cube root of 4 sixth root of 64	$\sqrt[3]{4 \sqrt[6]{64}}$
33881	Simplify	(x^2-2)/(x(x-1)^2)+(2-x)/(x(x-1)^2)	$\frac{x^{2} - 2}{x {(x - 1)}^{2}} + \frac{2 - x}{x {(x - 1)}^{2}}$
33882	Convert to Interval Notation	x<1 and x>-3	$x < 1$ and $x > - 3$
33883	Solve the System of Inequalities	-4x-3<=2x+9 and -3x+2>-2x+5	$- 4 x - 3 \leq 2 x + 9$ and $- 3 x + 2 > - 2 x + 5$
33884	Find the Derivative of the Integral	F(x) = integral from -2 to sin(x) of 3t with respect to t	$F (x) = \int_{- 2}^{\sin (x)} 3 t d t$
33885	Simplify	(xy)/y	$\frac{x y}{y}$
33886	Solve by Substitution	x=5y+2 x-4y=5	$x = 5 y + 2$ $x - 4 y = 5$
33887	Solve the System of Inequalities	x<2 and x>-3	$x < 2$ and $x > - 3$
33888	Simplify	8x^8y^6z5x^5y^3z^24x^3y^4z^2	$8 x^{8} y^{6} z \cdot 5 x^{5} y^{3} z^{2} \cdot 4 x^{3} y^{4} z^{2}$
33889	Evaluate	(27÷3)*(5+9)	$(27 \div 3) \times (5 + 9)$
33890	Divide	(4+4i)/(-2-8i)	$\frac{4 + 4 i}{- 2 - 8 i}$
33891	Simplify the Radical Expression	cube root of 3/8	$\sqrt[3]{\frac{3}{8}}$
33892	Simplify the Radical Expression	square root of 1/8	$\sqrt{\frac{1}{8}}$
33893	Simplify	((x(x+1))/2)^2	${(\frac{x (x + 1)}{2})}^{2}$
33894	Solve the Inequality for x	1>-(x-5/2)-4x	$1 > - (x - \frac{5}{2}) - 4 x$
33895	Solve for θ in Degrees	tan(theta)=-5	$\tan (θ) = - 5$
33896	Solve for x	W=2xY+2xZ	$W = 2 x Y + 2 x Z$
33897	Solve for n	1/4(2n-28)=10	$\frac{1}{4} (2 n - 28) = 10$
33898	Evaluate the Integral	integral of (2x)/( square root of 1-x^4) with respect to x	$\int \frac{2 x}{\sqrt{1 - x^{4}}} d x$
33899	Find the Inverse	f(x)=x^2+3 for x>=0	$f (x) = x^{2} + 3$ for $x \geq 0$
33900	Simplify	(2y^4-3y^3-6y^2-2y)÷(-7y)	$(2 y^{4} - 3 y^{3} - 6 y^{2} - 2 y) \div (- 7 y)$