Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
224701	Find All Complex Solutions	x-6 = square root of 3x	$x - 6 = \sqrt{3 x}$
224702	Simplify the Radical Expression	sixth root of 9y^14e^4s^12	$\sqrt[6]{9 y^{14} e^{4} s^{12}}$
224703	Solve for r	-1+r>=4	$- 1 + r \geq 4$
224704	Simplify	(x+h)^2+1	${(x + h)}^{2} + 1$
224705	Evaluate	( square root of a square root of b)/( ninth root of ab)	$\frac{\sqrt{a \sqrt{b}}}{\sqrt[9]{a b}}$
224706	Evaluate	(x^6)/(xy^-5y^3)	$\frac{x^{6}}{x y^{- 5} y^{3}}$
224707	Simplify	square root of 36x^3+ square root of 64x^3-x square root of 9xy	$\sqrt{36 x^{3}} + \sqrt{64 x^{3}} - x \sqrt{9 x y}$
224708	Evaluate	0.5(5-7x)=8-(4x+6)	$0.5 (5 - 7 x) = 8 - (4 x + 6)$
224709	Solve for x	x^2+1=-4x	$x^{2} + 1 = - 4 x$
224710	Graph	x+8y<=50 x<=30 y>=2	$x + 8 y \leq 50$ $x \leq 30$ $y \geq 2$
224711	Solve for x	5-3(2x-7)=2(7-3x)	$5 - 3 (2 x - 7) = 2 (7 - 3 x)$
224712	Find the LCD	1/(6x+6) and 9/(2x)	$\frac{1}{6 x + 6}$ and $\frac{9}{2 x}$
224713	Divide Using Long Polynomial Division	(4x^3+4x^2-3x)÷(2x+1)	$(4 x^{3} + 4 x^{2} - 3 x) \div (2 x + 1)$
224714	Simplify	x/(3/2)	$\frac{x}{\frac{3}{2}}$
224715	Simplify	7x^6y^4+(x^3y^2)^2	$7 x^{6} y^{4} + {(x^{3} y^{2})}^{2}$
224716	Solve for x	(7x+6)^(1/2)-(9+4x)^(1/2)=0	${(7 x + 6)}^{\frac{1}{2}} - {(9 + 4 x)}^{\frac{1}{2}} = 0$
224717	Multiply	(a-2)(4a^3-3a^2)	$(a - 2) (4 a^{3} - 3 a^{2})$
224718	Find the Complex Conjugate	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
224719	Find the Exact Value	( square root of 2)/2*1/2	$\frac{\sqrt{2}}{2} \cdot \frac{1}{2}$
224720	Find All Complex Solutions	x^3+x=0	$x^{3} + x = 0$
224721	Solve the System of Inequalities	3x+4y<28 x-2y<=0	$3 x + 4 y < 28$ $x - 2 y \leq 0$
224722	Simplify	(ab^4*b^2x^4)^(1/2)	${(a b^{4} \cdot b^{2} x^{4})}^{\frac{1}{2}}$
224723	Solve for n	t(n)=24-5n	$t (n) = 24 - 5 n$
224724	Find the Domain and Range	y=2pisec(2x)	$y = 2 π \sec (2 x)$
224725	Find the Exact Value	\|3+9i\|	$\| 3 + 9 i \|$
224726	Solve for x	( cube root of 6)^(2x)=( square root of 6)^(x+6)	${(\sqrt[3]{6})}^{2 x} = {(\sqrt{6})}^{x + 6}$
224727	Solve for x	3xy-2x+4y=100	$3 x y - 2 x + 4 y = 100$
224728	Solve for x	cube root of 4x^2-4x=x	$\sqrt[3]{4 x^{2} - 4 x} = x$
224729	Find the LCD	3/(2x) and 4/(3x+1)	$\frac{3}{2 x}$ and $\frac{4}{3 x + 1}$
224730	Solve for x	x=-2+4/5x-3	$x = - 2 + \frac{4}{5} x - 3$
224731	Find the Domain and Range	x+1/x	$x + \frac{1}{x}$
224732	Simplify	(cos(2x))/(cos(x)^2)	$\frac{\cos (2 x)}{\cos^{2} (x)}$
224733	Multiply	e^(-x)*e^x	$e^{- x} \cdot e^{x}$
224734	Find the Domain and Range	y=2(2^x-1)	$y = 2 (2^{x} - 1)$
224735	Evaluate	sin(theta)-sin(theta)cos(theta)^2	$\sin (θ) - \sin (θ) \cos^{2} (θ)$
224736	Simplify	7b(4c-b)+4c(c-7b)	$7 b (4 c - b) + 4 c (c - 7 b)$
224737	Simplify	9x+6-4x-2x+1-15	$9 x + 6 - 4 x - 2 x + 1 - 15$
224738	Solve for x	log base 3 of x^2+2x = log base 3 of x+2	$\log_{3} (x^{2} + 2 x) = \log_{3} (x + 2)$
224739	Factor by Grouping	(3m-2)^2-m^2	${(3 m - 2)}^{2} - m^{2}$
224740	Solve the System of Equations	3x+2y+z=20 x-4y-z=-10 2x+y+2z=15	$3 x + 2 y + z = 20$ $x - 4 y - z = - 10$ $2 x + y + 2 z = 15$
224741	Solve by Completing the Square	7+2x-x^2=0	$7 + 2 x - x^{2} = 0$
224742	Solve for x	(3x)/2-2/(x-2)=x	$\frac{3 x}{2} - \frac{2}{x - 2} = x$
224743	Factor	x^3-2x^2y+xy^2-2y^3	$x^{3} - 2 x^{2} y + x y^{2} - 2 y^{3}$
224744	Simplify	x^6y^4(x^4-16)-9(x^4-16)	$x^{6} y^{4} (x^{4} - 16) - 9 (x^{4} - 16)$
224745	Rationalize the Denominator	-8/(-8+ square root of 10)	$\frac{- 8}{- 8 + \sqrt{10}}$
224746	Convert to Radical Form	-2(xy)^(1/2)	$- 2 {(x y)}^{\frac{1}{2}}$
224747	Multiply	(3x^2+x-5)(2x^2+x+3)	$(3 x^{2} + x - 5) (2 x^{2} + x + 3)$
224748	Find the Quadratic Equation Given the Roots	-5+2i , -5i	$- 5 + 2 i$ , $- 5 i$
224749	Find the Inverse	What is the inverse function of the f(x)=(3x+1)/5 ?	What is the inverse function of the $f (x) = \frac{3 x + 1}{5}$ ?
224750	Solve for y	M=(x-y)/3	$M = \frac{x - y}{3}$
224751	Find the x and y Intercepts	f(x)=3*(1/4)^x-3	$f (x) = 3 \cdot {(\frac{1}{4})}^{x} - 3$
224752	Solve the Inequality for p	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
224753	Evaluate	2* square root of -4	$2 \cdot \sqrt{- 4}$
224754	Solve the Absolute Value Inequality for a	\|3-9a\|<=60	$\| 3 - 9 a \| \leq 60$
224755	Evaluate	((2y^5)^4)/(10y^15)	$\frac{{(2 y^{5})}^{4}}{10 y^{15}}$
224756	Divide	((1-h^2)/(2h^2-10h-12))÷((2h-2)/6)	$\frac{1 - h^{2}}{2 h^{2} - 10 h - 12} \div \frac{2 h - 2}{6}$
224757	Divide	((2r+2)/(r+2))÷((4r^2+8r+4)/(12r+12))	$\frac{2 r + 2}{r + 2} \div \frac{4 r^{2} + 8 r + 4}{12 r + 12}$
224758	Simplify	((18c^4)/(7d))÷(9c^2d)	$\frac{18 c^{4}}{7 d} \div (9 c^{2} d)$
224759	Simplify the Radical Expression	square root of 3*7 square root of 30	$\sqrt{3} \cdot 7 \sqrt{30}$
224760	Simplify	(-2x^4-5+4x+2x^3)-(2x^3-8x^4-4x+8)	$(- 2 x^{4} - 5 + 4 x + 2 x^{3}) - (2 x^{3} - 8 x^{4} - 4 x + 8)$
224761	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-2x^3-16x^2+17x-2 is divided by x-2	Use synthetic division to find the result when $3 x^{4} - 2 x^{3} - 16 x^{2} + 17 x - 2$ is divided by $x - 2$
224762	Find the Product	(-3+2j)(4j-7)	$(- 3 + 2 j) (4 j - 7)$
224763	Simplify	(4/5)/(-3/5)	$\frac{\frac{4}{5}}{- \frac{3}{5}}$
224764	Find the Exact Value	84^2-72+7	$8 \cdot 4^{2} - 7 \cdot 2 + 7$
224765	Evaluate	(1+-0.001)^(1/-0.001)	${(1 + - 0.001)}^{\frac{1}{- 0.001}}$
224766	Evaluate	tan((-4pi)/3)	$\tan (\frac{- 4 π}{3})$
224767	Simplify	((x+2)/(x^2-6x-16))	$(\frac{x + 2}{x^{2} - 6 x - 16})$
224768	Graph	\|2x-3\|<=-1	$\| 2 x - 3 \| \leq - 1$
224769	Convert to Radical Form	(225)^(1/2)	${(225)}^{\frac{1}{2}}$
224770	Evaluate the Function	f(x)=3(2)^x x=-1	$f (x) = 3 {(2)}^{x}$ $x = - 1$
224771	Graph Using a Table of Values	f(x)=2(1/5)^(x-5)	$f (x) = 2 {(\frac{1}{5})}^{x - 5}$
224772	Divide	((3x+15)/(x^2-4))÷((x+5)/(x-2))	$\frac{3 x + 15}{x^{2} - 4} \div \frac{x + 5}{x - 2}$
224773	Write in Standard Form	(2x^2)^3	${(2 x^{2})}^{3}$
224774	Solve the Inequality for x	18<6x<=60	$18 < 6 x \leq 60$
224775	Find the x and y Intercepts	4x+2i=8+yi	$4 x + 2 i = 8 + y i$
224776	Simplify	(x^2-4)/(4x-8)*4/(x-2)	$\frac{x^{2} - 4}{4 x - 8} \cdot \frac{4}{x - 2}$
224777	Multiply	(3 square root of 2)/2* square root of 2	$\frac{3 \sqrt{2}}{2} \cdot \sqrt{2}$
224778	Solve for x	(8-x)/x=3/2	$\frac{8 - x}{x} = \frac{3}{2}$
224779	Solve for x	(4x+4)/48=(7x-9)/60	$\frac{4 x + 4}{48} = \frac{7 x - 9}{60}$
224780	Convert to Radical Form	2^3*2	$2^{3} \cdot 2$
224781	Multiply	2^3*2	$2^{3} \cdot 2$
224782	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4-5x^3+8x^2-4x-16 is divided by x-2	Use synthetic division to find the result when $2 x^{4} - 5 x^{3} + 8 x^{2} - 4 x - 16$ is divided by $x - 2$
224783	Divide	1 5/8÷2 1/2	$1 \frac{5}{8} \div 2 \frac{1}{2}$
224784	Solve for m	square root of 18-m = square root of m-4	$\sqrt{18 - m} = \sqrt{m - 4}$
224785	Solve for b	8(b+1)+4=3(2b-8)-16	$8 (b + 1) + 4 = 3 (2 b - 8) - 16$
224786	Evaluate	a=(10-2)/4	$a = \frac{10 - 2}{4}$
224787	Simplify	(30c^8d^3-36c^6d^2+6c^3d)/(12c^2d)	$\frac{30 c^{8} d^{3} - 36 c^{6} d^{2} + 6 c^{3} d}{12 c^{2} d}$
224788	Solve for x	(4x+3)/4-(2x)/(x+1)=x	$\frac{4 x + 3}{4} - \frac{2 x}{x + 1} = x$
224789	Evaluate	(2x^3)/(-8x^4)	$\frac{2 x^{3}}{- 8 x^{4}}$
224790	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,1) and has a slope of 6/5 ?	What is the equation of the line that passes through the point $(5, 1)$ and has a slope of $\frac{6}{5}$ ?
224791	Solve for A	sin(A)=1/2	$\sin (A) = \frac{1}{2}$
224792	Divide	(18xy^8)/(27x^7y^3)	$\frac{18 x y^{8}}{27 x^{7} y^{3}}$
224793	Solve the System of Equations	y=x^2+4x-17 15=3x-y	$y = x^{2} + 4 x - 17$ $15 = 3 x - y$
224794	Find All Complex Solutions	square root of x+72=5	$\sqrt{x + 72} = 5$
224795	Solve the Inequality for x	log base 3 of x+9<4	$\log_{3} (x + 9) < 4$
224796	Graph	f(x)=x+1 if x<0; -x+1 if 0<=x<=2; x-1 if x>2	$f (x) = {\begin{cases} x + 1 & x < 0 \\ - x + 1 & 0 \leq x \leq 2 \\ x - 1 & x > 2 \end{cases}$
224797	Solve the System of Equations	y+2.3=0.45x -2y=4.2x-7.8	$y + 2.3 = 0.45 x$ $- 2 y = 4.2 x - 7.8$
224798	Solve for x	x-3y=4 , x+2y=1	$x - 3 y = 4$ , $x + 2 y = 1$
224799	Determine if True	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
224800	Simplify	square root of 4 square root of 2	$\sqrt{4 \sqrt{2}}$