Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
226901	Solve the System of Inequalities	y>=3/2x-5 y<=-x+5	$y \geq \frac{3}{2} x - 5$ $y \leq - x + 5$
226902	Simplify	f(x)=(x^2-4)/(x+2)	$f (x) = \frac{x^{2} - 4}{x + 2}$
226903	Solve for x	4x-3=8^(x-2)	$4 x - 3 = 8^{x - 2}$
226904	Solve the Inequality for x	2x-2+2x>=4x-9	$2 x - 2 + 2 x \geq 4 x - 9$
226905	Simplify	(-(5a)/3)^-3	${(- \frac{5 a}{3})}^{- 3}$
226906	Simplify	(4x^(4/3)y)/( cube root of 64x^5y^4)	$\frac{4 x^{\frac{4}{3}} y}{\sqrt[3]{64 x^{5} y^{4}}}$
226907	Find All Complex Solutions	square root of x^2-6x+9+2x=9	$\sqrt{x^{2} - 6 x + 9} + 2 x = 9$
226908	Graph	y<=-3/2x+6	$y \leq \frac{- 3}{2} x + 6$
226909	Solve the Inequality for h	-32>1.6h	$- 32 > 1.6 h$
226910	Solve the System of Equations	-8x+y+2z=-7 x+y+5z=-10 3x-y+z=-10	$- 8 x + y + 2 z = - 7$ $x + y + 5 z = - 10$ $3 x - y + z = - 10$
226911	Multiply	3*2/6	$3 \cdot \frac{2}{6}$
226912	Evaluate	(1-(7-2))^2-4^2	${(1 - (7 - 2))}^{2} - 4^{2}$
226913	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3+10x^2+26x+20 is divided by x+2	Use the long division method to find the result when $x^{3} + 10 x^{2} + 26 x + 20$ is divided by $x + 2$
226914	Solve for x	(x-7)^2=64/49	${(x - 7)}^{2} = \frac{64}{49}$
226915	Solve the Rational Equation for x	3/(x+1)-2/(x-1)=1/(x^2-1)	$\frac{3}{x + 1} - \frac{2}{x - 1} = \frac{1}{x^{2} - 1}$
226916	Solve for x	7^(x-1)>49^x	$7^{x - 1} > 49^{x}$
226917	Graph	y>=5x-1 and y<=-3x+4	$y \geq 5 x - 1$ and $y \leq - 3 x + 4$
226918	Solve the Inequality for x	\|(-2x+9)(x-1)\|<5\|x-1\|	$\| (- 2 x + 9) (x - 1) \| < 5 \| x - 1 \|$
226919	Solve for n	log of 3=n	$\log (3) = n$
226920	Solve for t	75t=7(4t+8)+33t	$75 t = 7 (4 t + 8) + 33 t$
226921	Solve for x	x/4+x/6=5/4	$\frac{x}{4} + \frac{x}{6} = \frac{5}{4}$
226922	Simplify	15(2x^0+3^0)	$15 (2 x^{0} + 3^{0})$
226923	Solve for x	x+9/2=4	$x + \frac{9}{2} = 4$
226924	Solve by Graphing	x+y=-6 y=x	$x + y = - 6$ $y = x$
226925	Solve for x	(1/16)^(x+7)*64^(x+5)=(1/32)^4	${(\frac{1}{16})}^{x + 7} \cdot 64^{x + 5} = {(\frac{1}{32})}^{4}$
226926	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^4+4x^3-x^2+25x+30 is divided by x+3	Use synthetic division to find the result when $2 x^{4} + 4 x^{3} - x^{2} + 25 x + 30$ is divided by $x + 3$
226927	Find the Distance Between Two Points	(-4,1) and (2,9)	$(- 4, 1)$ and $(2, 9)$
226928	Solve the Inequality for x	(2x)/(x-2)<3	$\frac{2 x}{x - 2} < 3$
226929	Simplify the Radical Expression	( cube root of 16)( cube root of 4)	$(\sqrt[3]{16}) (\sqrt[3]{4})$
226930	Find the LCM	4 and 12	$4$ and $12$
226931	Simplify	5x^1010x^9-5x^6	$5 x^{10} \cdot 10 x^{9} \cdot - 5 x^{6}$
226932	Multiply	(x^2-4)/(x^2+2x-8)*(8x+32)/(x^4+x^3)	$\frac{x^{2} - 4}{x^{2} + 2 x - 8} \cdot \frac{8 x + 32}{x^{4} + x^{3}}$
226933	Solve the Inequality for x	2x^2+x-9>=-3	$2 x^{2} + x - 9 \geq - 3$
226934	Write in y=mx+b Form	(-10,3) and (-8,-8)	$(- 10, 3)$ and $(- 8, - 8)$
226935	Simplify	1/( square root of 3)+ square root of 3	$\frac{1}{\sqrt{3}} + \sqrt{3}$
226936	Simplify the Radical Expression	( square root of 100a^8)/( square root of 25a^4)	$\frac{\sqrt{100 a^{8}}}{\sqrt{25 a^{4}}}$
226937	Evaluate	16pi*135/360	$16 π \cdot \frac{135}{360}$
226938	Solve for n	15 is 30% of what number?	$15$ is $30 %$ of what number?
226939	Find g(f(x))	g(x)=4-3/2x f(x)=1/2x+3/2	$g (x) = 4 - \frac{3}{2} x$ $f (x) = \frac{1}{2} x + \frac{3}{2}$
226940	Write in Slope-Intercept Form	10x-8y=4x-8	$10 x - 8 y = 4 x - 8$
226941	Solve the Rational Equation for r	10 = square root of 14r+2	$10 = \sqrt{14 r + 2}$
226942	Factor	x^2=x+30	$x^{2} = x + 30$
226943	Solve for y	y+-10=-3	$y + - 10 = - 3$
226944	Simplify the Radical Expression	18 root of 1/(n^4*n^5)	$\sqrt[18]{\frac{1}{n^{4} \cdot n^{5}}}$
226945	Find the x and y Intercepts	f(x)=x(x-7)(6x+5)(x-7)	$f (x) = x (x - 7) (6 x + 5) (x - 7)$
226946	Write the Fraction in Simplest Form	(20y^2h^-1)/((5y^5h^2)^2)	$\frac{20 y^{2} h^{- 1}}{{(5 y^{5} h^{2})}^{2}}$
226947	Find the Distance Between Two Points	(7,-1) and (9,-9)	$(7, - 1)$ and $(9, - 9)$
226948	Find the Product	(x^2+5x-1)(5x^2-6x+1)	$(x^{2} + 5 x - 1) (5 x^{2} - 6 x + 1)$
226949	Solve the System of Inequalities	x<-6 and x>-9	$x < - 6$ and $x > - 9$
226950	Find the Exact Value	log base 4 of fifth root of 256	$\log_{4} (\sqrt[5]{256})$
226951	Describe the Transformation	y = cube root of -x	$y = \sqrt[3]{- x}$
226952	Solve for p	(2p)/8=3/7	$\frac{2 p}{8} = \frac{3}{7}$
226953	Solve for w	w-(-1/3)=2.05	$w - (- \frac{1}{3}) = 2.05$
226954	Write in Standard Form	P(x)=1-3x+x^2	$P (x) = 1 - 3 x + x^{2}$
226955	Graph	((y-1)^2)/(3^2)-((x-1)^2)/(2^2)=1	$\frac{{(y - 1)}^{2}}{3^{2}} - \frac{{(x - 1)}^{2}}{2^{2}} = 1$
226956	Simplify	(-(2a^3b^2c^0)/(3a^2b^3c^7))^-2	${(- \frac{2 a^{3} b^{2} c^{0}}{3 a^{2} b^{3} c^{7}})}^{- 2}$
226957	Find the Inverse	y = cube root of 3x-1+3	$y = \sqrt[3]{3 x - 1} + 3$
226958	Evaluate	sin(arcsin(( square root of 3)/2))	$\sin (\arcsin (\frac{\sqrt{3}}{2}))$
226959	Evaluate	(3a)/4+(2a)/3-a/12	$\frac{3 a}{4} + \frac{2 a}{3} - \frac{a}{12}$
226960	Solve for N	2^N=16	$2^{N} = 16$
226961	Multiply	1/2*( square root of 3)/2	$\frac{1}{2} \cdot \frac{\sqrt{3}}{2}$
226962	Multiply	(28n+40)/(35n+50)*(12n+24)/(8n+16)	$\frac{28 n + 40}{35 n + 50} \cdot \frac{12 n + 24}{8 n + 16}$
226963	Find the Complex Conjugate	5/(4- square root of 3)	$\frac{5}{4 - \sqrt{3}}$
226964	Simplify	(3^3)/( square root of 81)	$\frac{3^{3}}{\sqrt{81}}$
226965	Solve the System of Inequalities	26>3x and -1+2x>=-8	$26 > 3 x$ and $- 1 + 2 x \geq - 8$
226966	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (1,5) and has a slope of -1 ?	What is the equation of the line that passes through the point $(1, 5)$ and has a slope of $- 1$ ?
226967	Solve for x	2x+9x-2=3x-5-4	$2 x + 9 x - 2 = 3 x - 5 - 4$
226968	Solve the System of Equations	Solve 2x+5y=-13 3x-4y=-8	Solve $2 x + 5 y = - 13$ $3 x - 4 y = - 8$
226969	Solve for x	1/5x+a=1/2b	$\frac{1}{5} x + a = \frac{1}{2} b$
226970	Solve by Substitution	-2x+y=0 -7x+3y=2	$- 2 x + y = 0$ $- 7 x + 3 y = 2$
226971	Simplify	((64a^3b^4c^-5)(32a^4b^3c^5))/(256a^9b^6c^-5)	$\frac{(64 a^{3} b^{4} c^{- 5}) (32 a^{4} b^{3} c^{5})}{(256 a^{9} b^{6} c^{- 5})}$
226972	Simplify	(5x^2+7x)-1/2(10x^2-4)	$(5 x^{2} + 7 x) - \frac{1}{2} (10 x^{2} - 4)$
226973	Solve for x	(3x-1)^2-5(x-2)-(2x+3)^2-(5x+2)(x-1)=0	${(3 x - 1)}^{2} - 5 (x - 2) - {(2 x + 3)}^{2} - (5 x + 2) (x - 1) = 0$
226974	Simplify	(10x^3)/(7y^3)(14x)/(15y^2)(15y^4)/(x^3)	$\frac{10 x^{3}}{7 y^{3}} \cdot \frac{14 x}{15 y^{2}} \cdot \frac{15 y^{4}}{x^{3}}$
226975	Solve for s	-4(3s-2)=-6(2s-1)-2	$- 4 (3 s - 2) = - 6 (2 s - 1) - 2$
226976	Evaluate	9+83-(52)	$9 + 8 \times 3 - (5 \times 2)$
226977	Simplify/Condense	1/3( natural log of 27+2* natural log of 8)	$\frac{1}{3} (\ln (27) + 2 \cdot \ln (8))$
226978	Solve for x	log base 7 of 2(x+7)- log base 7 of x+1=0	$\log_{7} (2) (x + 7) - \log_{7} (x + 1) = 0$
226979	Evaluate	34x+95=3(14x+9)	$34 x + 95 = 3 (14 x + 9)$
226980	Solve for x	(2x-3)/x=3/(x+4)	$\frac{2 x - 3}{x} = \frac{3}{x + 4}$
226981	Simplify	(2)^3(2)^-5	${(2)}^{3} {(2)}^{- 5}$
226982	Simplify	5^25^-15^0	$5^{2} \cdot 5^{- 1} \cdot 5^{0}$
226983	Evaluate	6+4*(3+7)	$6 + 4 \times (3 + 7)$
226984	Evaluate Using the Given Value	z=(x-mu)/sigma , mu	$z = \frac{x - μ}{σ}$ , $μ$
226985	Simplify	3 1/9p+5-1/3p	$3 \frac{1}{9} p + 5 - \frac{1}{3} p$
226986	Simplify	(2/3)^-1((3a)/(2b))^-2	${(\frac{2}{3})}^{- 1} {(\frac{3 a}{2 b})}^{- 2}$
226987	Find the Holes in the Graph	f(x)=(x^2+6x+9)/(x^2-9)	$f (x) = \frac{x^{2} + 6 x + 9}{x^{2} - 9}$
226988	Find All Complex Solutions	sin(x)^3=sin(x)	$\sin^{3} (x) = \sin (x)$
226989	Solve the Inequality for x	(x-2)/7-(x+3)/3<=(5x)/21	$\frac{x - 2}{7} - \frac{x + 3}{3} \leq \frac{5 x}{21}$
226990	Solve the Inequality for w	37<7-10w	$37 < 7 - 10 w$
226991	Simplify	square root of 6a^2b^4c* square root of 3a^6b^2c	$\sqrt{6 a^{2} b^{4} c} \cdot \sqrt{3 a^{6} b^{2} c}$
226992	Write in Standard Form	x^2-x^3+x^4-5	$x^{2} - x^{3} + x^{4} - 5$
226993	Write the Fraction in Simplest Form	(2h^7v^-3)/((5h^-4v^5)^-5)	$\frac{2 h^{7} v^{- 3}}{{(5 h^{- 4} v^{5})}^{- 5}}$
226994	Evaluate	1/2(8)^-2	$\frac{1}{2} {(8)}^{- 2}$
226995	Solve for y₂	13^2=144+y_2^2-12y_2+36	$13^{2} = 144 + {y_{2}}^{2} - 12 y_{2} + 36$
226996	Solve for m	square root of (9m)/2-6=0	$\sqrt{\frac{9 m}{2}} - 6 = 0$
226997	Find the Roots (Zeros)	x^3+x^2-6x=0	$x^{3} + x^{2} - 6 x = 0$
226998	Simplify	((15x-10)/(x-8))/((3x-2)/(x^2-12x+32))	$\frac{\frac{15 x - 10}{x - 8}}{\frac{3 x - 2}{x^{2} - 12 x + 32}}$
226999	Simplify	((k^-2y^3)/(y^-1))^0	${(\frac{k^{- 2} y^{3}}{y^{- 1}})}^{0}$
227000	Write the Fraction in Simplest Form	(4^(2x+1)*2^(1-x))/(8^(x+2))	$\frac{4^{2 x + 1} \cdot 2^{1 - x}}{8^{x + 2}}$