Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223801	Graph	y<=x+2 y>=x-3	$y \leq x + 2$ $y \geq x - 3$
223802	Find the Domain and Range	y=1/2cos(x)	$y = \frac{1}{2} \cos (x)$
223803	Solve for w	w^2=0	$w^{2} = 0$
223804	Solve for x	(-10+x)/4+5>=(7x-5)/3	$\frac{- 10 + x}{4} + 5 \geq \frac{7 x - 5}{3}$
223805	Simplify	sixth root of (x^2+2)^18	$\sqrt[6]{{(x^{2} + 2)}^{18}}$
223806	Simplify	(4-x)/(16-x^2)	$\frac{4 - x}{16 - x^{2}}$
223807	Simplify	(7/(x+2))/(9/(3x+6))	$\frac{\frac{7}{x + 2}}{\frac{9}{3 x + 6}}$
223808	Convert to Radical Form	((4a^4)/(5b^5))^(3/3)	${(\frac{4 a^{4}}{5 b^{5}})}^{\frac{3}{3}}$
223809	Simplify the Radical Expression	square root of 20-2 square root of 5	$\sqrt{20} - 2 \sqrt{5}$
223810	Find the Domain and Range	f^-1(x)=(4x+3)/2	$f^{- 1} (x) = \frac{4 x + 3}{2}$
223811	Solve for t	square root of t+4=3	$\sqrt{t + 4} = 3$
223812	Evaluate	0.6(10n+25)=10+5n	$0.6 (10 n + 25) = 10 + 5 n$
223813	Find the Exact Value	cot((3pi)/2)+sin((3pi)/2)	$\cot (\frac{3 π}{2}) + \sin (\frac{3 π}{2})$
223814	Simplify	2a-1-7b+4a-b+13	$2 a - 1 - 7 b + 4 a - b + 13$
223815	Solve for x	( square root of 3)/2=34 1/2/x	$\frac{\sqrt{3}}{2} = \frac{34 \frac{1}{2}}{x}$
223816	Factor	4^(2x)-1	$4^{2 x} - 1$
223817	Solve for x	(2^x+2^(-x))/2=3	$\frac{2^{x} + 2^{- x}}{2} = 3$
223818	Solve for x	2(6-2x)+3x=4+2(5+x)	$2 (6 - 2 x) + 3 x = 4 + 2 (5 + x)$
223819	Simplify	((3x^-1y^-6)/(9x^5y^-2))^-1	${(\frac{3 x^{- 1} y^{- 6}}{9 x^{5} y^{- 2}})}^{- 1}$
223820	Solve the Inequality for x	\|x\|>=-2	$\| x \| \geq - 2$
223821	Divide	(6- square root of 3)/(2+ square root of 7)	$\frac{6 - \sqrt{3}}{2 + \sqrt{7}}$
223822	Graph	\|-9v\|<=54	$\| - 9 v \| \leq 54$
223823	Solve for x	-(6x-(4x+8))=9+(6x+3)	$- (6 x - (4 x + 8)) = 9 + (6 x + 3)$
223824	Solve for x	log base 0.4 of x>2	$\log_{0.4} (x) > 2$
223825	Graph	x\|x\|<=3	$x \| x \| \leq 3$
223826	Simplify	15-1.5(y-5)-7.5	$15 - 1.5 (y - 5) - 7.5$
223827	Expand the Logarithmic Expression	log base 3 of (x^3)/(7y^(3/2))	$\log_{3} (\frac{x^{3}}{7 y^{\frac{3}{2}}})$
223828	Evaluate	-1/( square root of 1-(( square root of 3)/2)^2)	$- \frac{1}{\sqrt{1 - {(\frac{\sqrt{3}}{2})}^{2}}}$
223829	Evaluate	(( square root of 3)/2)^4	${(\frac{\sqrt{3}}{2})}^{4}$
223830	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-4) and has a slope of -5/2 ?	What is the equation of the line that passes through the point $(4, - 4)$ and has a slope of $- \frac{5}{2}$ ?
223831	Evaluate	6 log base 8 of 2+( log base 8 of 64)/(3 log base 8 of 4)	$6 \log_{8} (2) + \frac{\log_{8} (64)}{3 \log_{8} (4)}$
223832	Simplify	((c^2d^-2)/c)^5	${(\frac{c^{2} d^{- 2}}{c})}^{5}$
223833	Simplify	cube root of 2a(2 cube root of 4a^2+ cube root of 32a)	$\sqrt[3]{2 a} (2 \sqrt[3]{4 a^{2}} + \sqrt[3]{32 a})$
223834	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+4x^2+11x+10 is divided by x+1	Use the long division method to find the result when $3 x^{3} + 4 x^{2} + 11 x + 10$ is divided by $x + 1$
223835	Factor by Grouping	2x^4-4x^3-8x^2+16x	$2 x^{4} - 4 x^{3} - 8 x^{2} + 16 x$
223836	Evaluate	0.9/(1+1/8)	$\frac{0.9}{1 + \frac{1}{8}}$
223837	Simplify	(3x^2+4x)(3x^2-4x)	$(3 x^{2} + 4 x) (3 x^{2} - 4 x)$
223838	Solve for x	x/(x-2)-(2x+5)/(x+3)=1/(x+3)	$\frac{x}{x - 2} - \frac{2 x + 5}{x + 3} = \frac{1}{x + 3}$
223839	Simplify	-2x^2(-3x^(1/2)+5)	$- 2 x^{2} (- 3 x^{\frac{1}{2}} + 5)$
223840	Solve Using the Quadratic Formula	(x^4+5x^2-36)(2x^2+9x-5)=0	$(x^{4} + 5 x^{2} - 36) (2 x^{2} + 9 x - 5) = 0$
223841	Divide	((7x^2)/(12x))÷((14x^3)/(48y^3))	$\frac{7 x^{2}}{12 x} \div \frac{14 x^{3}}{48 y^{3}}$
223842	Solve for a	x^2-12x+a=(x+b)^2	$x^{2} - 12 x + a = {(x + b)}^{2}$
223843	Solve the Rational Equation for x	square root of x^2-5x+4=x-7	$\sqrt{x^{2} - 5 x + 4} = x - 7$
223844	Simplify	(18wz+24wz^2)/(9w^2z-12wz^2)	$\frac{18 w z + 24 w z^{2}}{9 w^{2} z - 12 w z^{2}}$
223845	Convert to a Decimal	-180deg	$- 180$ degrees
223846	Simplify	(27n^4-9n^3+63n^2)/(9n)	$\frac{27 n^{4} - 9 n^{3} + 63 n^{2}}{9 n}$
223847	Write in y=mx+b Form	y=x	$y = x$
223848	Graph	5x-7y>-14 x<=7	$5 x - 7 y > - 14$ $x \leq 7$
223849	Solve the Inequality for x	3x^2-1>=-2x	$3 x^{2} - 1 \geq - 2 x$
223850	Simplify	-3(3x^2+x-1)+5	$- 3 (3 x^{2} + x - 1) + 5$
223851	Solve for x	e^(sin(x))cos(x)=0	$e^{\sin (x)} \cos (x) = 0$
223852	Simplify	((2a^4b^3)/(c^6))^0	${(\frac{2 a^{4} b^{3}}{c^{6}})}^{0}$
223853	Find the Exact Value	cot(arccsc(-3))	$\cot (arccsc (- 3))$
223854	Simplify	Simplify (s^-5)^3	Simplify ${(s^{- 5})}^{3}$
223855	Solve for h	(h-1)(5h+4)=0	$(h - 1) (5 h + 4) = 0$
223856	Evaluate Using the Given Value	y+9-x ; use x=1 ; and y=3	$y + 9 - x$ ; use $x = 1$ ; and $y = 3$
223857	Find the Roots (Zeros)	square root of x-1=x-3	$\sqrt{x - 1} = x - 3$
223858	Simplify the Radical Expression	3 square root of 5-6 square root of 5+7 square root of 5	$3 \sqrt{5} - 6 \sqrt{5} + 7 \sqrt{5}$
223859	Find the Distance Between Two Points	(3,24) and (7,56)	$(3, 24)$ and $(7, 56)$
223860	Solve the System of Equations	-x+6y=15 and -2x-3y=0	$- x + 6 y = 15$ and $- 2 x - 3 y = 0$
223861	Solve the Inequality for b	-12>=7+b	$- 12 \geq 7 + b$
223862	Write in Standard Form	(2x^2+x+4)(x^2+4x-4)	$(2 x^{2} + x + 4) (x^{2} + 4 x - 4)$
223863	Evaluate	-4x-7+10x=-7+6x	$- 4 x - 7 + 10 x = - 7 + 6 x$
223864	Find the Exact Value	pi*3^2	$π \cdot 3^{2}$
223865	Simplify	( square root of x^2)/x	$\frac{\sqrt{x^{2}}}{x}$
223866	Find the Exact Value	(6+2)^2+0.9^2	${(6 + 2)}^{2} + {0.9}^{2}$
223867	Find the Product	(2a^6-6a^3)^2	${(2 a^{6} - 6 a^{3})}^{2}$
223868	Solve for X	1/X=a^2	$\frac{1}{X} = a^{2}$
223869	Solve for x	log base 8 of 8/(x^2)=3( log base 8 of x)^2	$\log_{8} (\frac{8}{x^{2}}) = 3 {\log_{8}}^{2} (x)$
223870	Simplify	square root of (x^3)/3	$\sqrt{\frac{x^{3}}{3}}$
223871	Find the Domain and Range	y=2arcsin(12x+8)	$y = 2 \arcsin (12 x + 8)$
223872	Simplify	square root of a/4- square root of 4a^3	$\sqrt{\frac{a}{4}} - \sqrt{4 a^{3}}$
223873	Find the Domain and Range	3cos(x+pi/6)	$3 \cos (x + \frac{π}{6})$
223874	Solve the Rational Equation for x	(6x)/(x+4)+4=(2x+2)/(x-1)	$\frac{6 x}{x + 4} + 4 = \frac{2 x + 2}{x - 1}$
223875	Solve Using the Square Root Property	-1/2x^2+1=-39	$- \frac{1}{2} x^{2} + 1 = - 39$
223876	Divide Using Long Polynomial Division	(3x^3-4x^2+2x+4)÷(x^2-2x+2)	$(3 x^{3} - 4 x^{2} + 2 x + 4) \div (x^{2} - 2 x + 2)$
223877	Evaluate	tan(arcsin(1))	$\tan (\arcsin (1))$
223878	Factor	(w-3)^5-(w-3)^2	${(w - 3)}^{5} - {(w - 3)}^{2}$
223879	Solve for x	4^x-12*2^x+32=0	$4^{x} - 12 \cdot 2^{x} + 32 = 0$
223880	Convert to a Decimal	-510deg	$- 510$ degrees
223881	Find the Product	(3-8y)*(-2.5)	$(3 - 8 y) \cdot (- 2.5)$
223882	Evaluate	2*2-4÷2+4	$2 \cdot 2 - 4 \div 2 + 4$
223883	Solve for a	a+1-2=4	$a + 1 - 2 = 4$
223884	Solve by Substitution	4y+3=3y+x 2x+4y=18	$4 y + 3 = 3 y + x$ $2 x + 4 y = 18$
223885	Find the Inverse	4x^(1/3)	$4 x^{\frac{1}{3}}$
223886	Solve the Inequality for x	2x^2+4x-87<-8x-7	$2 x^{2} + 4 x - 87 < - 8 x - 7$
223887	Simplify	8xy(x+8y)	$8 x y (x + 8 y)$
223888	Evaluate	2/3*9^(3/2)	$\frac{2}{3} \cdot 9^{\frac{3}{2}}$
223889	Divide	( fourth root of 3)/( cube root of 3)	$\frac{\sqrt[4]{3}}{\sqrt[3]{3}}$
223890	Solve for x	(x^2+1)(x-2)=0	$(x^{2} + 1) (x - 2) = 0$
223891	Find the Product	8xy(x+8y)	$8 x y (x + 8 y)$
223892	Find the Distance Between Two Points	(9,-4) and (5,3)	$(9, - 4)$ and $(5, 3)$
223893	Graph	f(x)=1+ cube root of x	$f (x) = 1 + \sqrt[3]{x}$
223894	Find the Equation Using Point-Slope Formula	(-9,6) and (-7,-8)	$(- 9, 6)$ and $(- 7, - 8)$
223895	Simplify the Radical Expression	4/(8- square root of 6)	$\frac{4}{8 - \sqrt{6}}$
223896	Simplify	(10k^4+17k^3)-(14k^3-2k+9k^4)	$(10 k^{4} + 17 k^{3}) - (14 k^{3} - 2 k + 9 k^{4})$
223897	Subtract	(-14+3i)-(14i)	$(- 14 + 3 i) - (14 i)$
223898	Solve the Inequality for d	3d-7>=8	$3 d - 7 \geq 8$
223899	Solve by Factoring	4x^3+x^2+100x+25=0	$4 x^{3} + x^{2} + 100 x + 25 = 0$
223900	Find the Holes in the Graph	(x^2-16)/(2x+8)	$\frac{x^{2} - 16}{2 x + 8}$