Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212601	Simplify	(20qr^-2t^-5)/(4q^0r^4t^-2)	$\frac{20 q r^{- 2} t^{- 5}}{4 q^{0} r^{4} t^{- 2}}$
212602	Simplify	5 square root of (49m-49n)/25	$5 \sqrt{\frac{49 m - 49 n}{25}}$
212603	Solve the Inequality for x	(2x)/3>4	$\frac{2 x}{3} > 4$
212604	Simplify	6+5x-(-3x)	$6 + 5 x - (- 3 x)$
212605	Solve for c	5/9(8+c)=-20	$\frac{5}{9} (8 + c) = - 20$
212606	Simplify	-x^2+5x+x^2	$- x^{2} + 5 x + x^{2}$
212607	Multiply	square root of 3x^5* square root of 15x	$\sqrt{3 x^{5}} \cdot \sqrt{15 x}$
212608	Find the x and y Intercepts	(x^2+7x+10)/(2x^2-x-10)	$\frac{x^{2} + 7 x + 10}{2 x^{2} - x - 10}$
212609	Convert to Interval Notation	-4<(y-7)/-3<=2	$- 4 < \frac{y - 7}{- 3} \leq 2$
212610	Simplify	(3x-9)/(10x)*(2x^3+8x^2)/(x^2+x-12)	$\frac{3 x - 9}{10 x} \cdot \frac{2 x^{3} + 8 x^{2}}{x^{2} + x - 12}$
212611	Divide Using Synthetic Division	(3x^4-x^2-6)/(x-3+3i)	$\frac{3 x^{4} - x^{2} - 6}{x - 3 + 3 i}$
212612	Find the Union	[-16,12) intersect (11,18)	$[- 16, 12) \cap (11, 18)$
212613	Write the Fraction in Simplest Form	(15m^-7)/(3(m^-2)^4)	$\frac{15 m^{- 7}}{3 {(m^{- 2})}^{4}}$
212614	Solve for x	-3/4-8/x=-5/(4x)	$\frac{- 3}{4} - \frac{8}{x} = \frac{- 5}{4 x}$
212615	Evaluate	75% of 20	$75 %$ of $20$
212616	Factor	4x^2(2x^2+5)+9(2x^2+5)	$4 x^{2} (2 x^{2} + 5) + 9 (2 x^{2} + 5)$
212617	Divide	(x^3+6x-1)/(-3x)	$\frac{x^{3} + 6 x - 1}{- 3 x}$
212618	Graph	y=1/4csc(x+pi/4)	$y = \frac{1}{4} \csc (x + \frac{π}{4})$
212619	Solve for A	A=1/2pir^2	$A = \frac{1}{2} π r^{2}$
212620	Evaluate	f(x)=2(0.75)^3	$f (x) = 2 {(0.75)}^{3}$
212621	Simplify the Radical Expression	square root of a^3* cube root of a	$\sqrt{a^{3}} \cdot \sqrt[3]{a}$
212622	Expand the Logarithmic Expression	log of fourth root of (x^3y^2)/(z^4)	$\log (\sqrt[4]{\frac{x^{3} y^{2}}{z^{4}}})$
212623	Simplify	1/(9x^3)*(3x)/(2a^2)	$\frac{1}{9 x^{3}} \cdot \frac{3 x}{2 a^{2}}$
212624	Simplify	tan(2)(x)-tan(2)xsin(2)x	$\tan (2) (x) - \tan (2) x \sin (2) x$
212625	Solve for x	(x+8)/(9x)-8/9=-1	$\frac{x + 8}{9 x} - \frac{8}{9} = - 1$
212626	Write in Slope-Intercept Form	-x+y=x-5	$- x + y = x - 5$
212627	Simplify	3a2b2	$3 a \cdot 2 b \cdot 2$
212628	Graph	-x^2+y>=4	$- x^{2} + y \geq 4$
212629	Simplify	(2^(1/3)*2^-3)^0	${(2^{\frac{1}{3}} \cdot 2^{- 3})}^{0}$
212630	Simplify the Radical Expression	square root of 72x^5+2x^2 square root of 18x-x square root of 2x^3	$\sqrt{72 x^{5}} + 2 x^{2} \sqrt{18 x} - x \sqrt{2 x^{3}}$
212631	Simplify	(15x^5y^-2)/(3x^7y^-3)	$\frac{15 x^{5} y^{- 2}}{3 x^{7} y^{- 3}}$
212632	Divide Using Long Polynomial Division	(8x^3-3x+1)÷(4x^3+x^2-2x-3)	$(8 x^{3} - 3 x + 1) \div (4 x^{3} + x^{2} - 2 x - 3)$
212633	Solve for d	a=-bcd	$a = - b c d$
212634	Divide	(x^2+3)/(3x)	$\frac{x^{2} + 3}{3 x}$
212635	Solve for y	2 1/4+y=5 3/4	$2 \frac{1}{4} + y = 5 \frac{3}{4}$
212636	Simplify/Condense	5* log base 8 of c^3d^2+3* log base 8 of cd^7	$5 \cdot \log_{8} (c^{3} d^{2}) + 3 \cdot \log_{8} (c d^{7})$
212637	Simplify	(2x)/(x-9)-x/(2(x-9))	$\frac{2 x}{x - 9} - \frac{x}{2 (x - 9)}$
212638	Evaluate	sec(x)^4-tan(x)^4	$\sec^{4} (x) - \tan^{4} (x)$
212639	Simplify	(6/(13x))÷(1/x)	$\frac{6}{13 x} \div \frac{1}{x}$
212640	Evaluate	3( log base 9 of x)^2=6 log base 9 of x	$3 {\log_{9}}^{2} (x) = 6 \log_{9} (x)$
212641	Simplify	(3y)/(2y^2-y)+2/(2y)	$\frac{3 y}{2 y^{2} - y} + \frac{2}{2 y}$
212642	Evaluate	arccsc(csc((4pi)/3))	$arccsc (\csc (\frac{4 π}{3}))$
212643	Solve for x	-2x=x^2-6	$- 2 x = x^{2} - 6$
212644	Solve Using the Quadratic Formula	-5x-2=-2x^2-2x	$- 5 x - 2 = - 2 x^{2} - 2 x$
212645	Simplify	((x^3-64x)/(x-10)*(x^2-5x+6)/(x^2-4))÷((x^2-11x+24)/(x^2-8x-20))	$\frac{x^{3} - 64 x}{x - 10} \cdot \frac{x^{2} - 5 x + 6}{x^{2} - 4} \div \frac{x^{2} - 11 x + 24}{x^{2} - 8 x - 20}$
212646	Solve for x	2x-32+4(3x-2462)=14x	$2 x - 32 + 4 (3 x - 2462) = 14 x$
212647	Graph	2x+5y>-6 -4x+3y<=2	$2 x + 5 y > - 6$ $- 4 x + 3 y \leq 2$
212648	Solve the System of Inequalities	5x-5>=-5 or -3x+20<=12	$5 x - 5 \geq - 5$ or $- 3 x + 20 \leq 12$
212649	Simplify	( square root of x- square root of 8)( square root of x+ square root of 2)	$(\sqrt{x} - \sqrt{8}) (\sqrt{x} + \sqrt{2})$
212650	Solve Using the Quadratic Formula	x^2+6x=x+50	$x^{2} + 6 x = x + 50$
212651	Evaluate Using the Given Value	Evaluate j/k-0.2k when j=25 and k=5	Evaluate $\frac{j}{k} - 0.2 k$ when $j = 25$ and $k = 5$
212652	Solve for v	w=(15(t-2v))/v	$w = \frac{15 (t - 2 v)}{v}$
212653	Simplify	((32^(4/5))/(32^(3/5)))^-1	${(\frac{32^{\frac{4}{5}}}{32^{\frac{3}{5}}})}^{- 1}$
212654	Multiply	-2yz^2*(-5y^2z-4z)	$- 2 y z^{2} \cdot (- 5 y^{2} z - 4 z)$
212655	Find All Complex Solutions	square root of 2x-1-x+2=0	$\sqrt{2 x - 1} - x + 2 = 0$
212656	Find the x and y Intercepts	f(x) = log base 1/3 of x-4	$f (x) = \log_{\frac{1}{3}} (x - 4)$
212657	Write the Fraction in Simplest Form	((4yh^3)^-5)/(20h^-4)	$\frac{{(4 y h^{3})}^{- 5}}{20 h^{- 4}}$
212658	Simplify	10-4 square root of 1/16	$10 - 4 \sqrt{\frac{1}{16}}$
212659	Solve Using the Quadratic Formula	2x^2+x-11=6x-8	$2 x^{2} + x - 11 = 6 x - 8$
212660	Rewrite the Cartesian Equation as a Polar Equation	y=x^2	$y = x^{2}$
212661	Simplify	(3 square root of 6)/( square root of -12)	$\frac{3 \sqrt{6}}{\sqrt{- 12}}$
212662	Solve for y	(8y-5)/y=(9y)/(y+2)	$\frac{8 y - 5}{y} = \frac{9 y}{y + 2}$
212663	Simplify	square root of 3a^2* square root of 2a^3	$\sqrt{3 a^{2}} \cdot \sqrt{2 a^{3}}$
212664	Simplify	(e^(5x))/(e^(-2x))	$\frac{e^{5 x}}{e^{- 2 x}}$
212665	Solve for x	2+4/3x=x-1/3	$2 + \frac{4}{3} x = x - \frac{1}{3}$
212666	Simplify	(x+6)/3-(x+2)/3	$\frac{x + 6}{3} - \frac{x + 2}{3}$
212667	Write the Fraction in Simplest Form	(20a^-5w^-8)/(-5(a^-5w^-1)^-4)	$\frac{20 a^{- 5} w^{- 8}}{- 5 {(a^{- 5} w^{- 1})}^{- 4}}$
212668	Find the Exact Value	tan(155 degrees +35 degrees )	$\tan (155 ° + 35 °)$
212669	Subtract	square root of 3-2 square root of 3	$\sqrt{3} - 2 \sqrt{3}$
212670	Simplify	( square root of q^3)/( sixth root of q)	$\frac{\sqrt{q^{3}}}{\sqrt[6]{q}}$
212671	Solve the Rational Equation for x	7-2/x=4+10/x	$7 - \frac{2}{x} = 4 + \frac{10}{x}$
212672	Simplify	25/(a+5)-(a^2)/(a+5)	$\frac{25}{a + 5} - \frac{a^{2}}{a + 5}$
212673	Evaluate	4x^-4*1/2x^2	$4 x^{- 4} \cdot \frac{1}{2} x^{2}$
212674	Multiply	1/2*2/( square root of 3)	$\frac{1}{2} \cdot \frac{2}{\sqrt{3}}$
212675	Factor	4(5x-8)^2+9(5x-8)(4x+9)	$4 {(5 x - 8)}^{2} + 9 (5 x - 8) (4 x + 9)$
212676	Solve the Inequality for y	y-5<9	$y - 5 < 9$
212677	Graph	y>=-2 y<=x-3	$y \geq - 2$ $y \leq x - 3$
212678	Solve the Inequality for x	x>1/x	$x > \frac{1}{x}$
212679	Solve for x	0=5(x+7)	$0 = 5 (x + 7)$
212680	Write in Standard Form	(2x^2-7x^3+8x)+(-8x^3-3x^2+4)	$(2 x^{2} - 7 x^{3} + 8 x) + (- 8 x^{3} - 3 x^{2} + 4)$
212681	Solve for x	1+1/(x-4)=(x+7)/(x^2-3x-4)	$1 + \frac{1}{x - 4} = \frac{x + 7}{x^{2} - 3 x - 4}$
212682	Evaluate	square root of 30*6 square root of 10	$\sqrt{30} \cdot 6 \sqrt{10}$
212683	Simplify	(3x)/(5(x+y))-(2y)/(3(x+y))	$\frac{3 x}{5 (x + y)} - \frac{2 y}{3 (x + y)}$
212684	Simplify	(4^x+2^x)/(2^x)	$\frac{4^{x} + 2^{x}}{2^{x}}$
212685	Solve for x	(8x-7)(x^2+4)=0	$(8 x - 7) (x^{2} + 4) = 0$
212686	Solve for x	2(6x-3)^(1/3)-4=0	$2 {(6 x - 3)}^{\frac{1}{3}} - 4 = 0$
212687	Simplify the Radical Expression	square root of 4x^2+2x+1/4	$\sqrt{4 x^{2} + 2 x + \frac{1}{4}}$
212688	Simplify	2 3/4x-5/6(x-8 2/5)	$2 \frac{3}{4} x - \frac{5}{6} (x - 8 \frac{2}{5})$
212689	Solve for x	3/(5x)=1/x+3/10	$\frac{3}{5 x} = \frac{1}{x} + \frac{3}{10}$
212690	Simplify	(4x+6)/2+3	$\frac{4 x + 6}{2} + 3$
212691	Evaluate Using the Given Value	Evaluate 4x when x=1/4	Evaluate $4 x$ when $x = \frac{1}{4}$
212692	Evaluate	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
212693	Determine if True	(1+sin(theta))/(1-sin(theta))-(1-sin(theta))/(1+sin(theta))=4sin(theta)sec(theta)^2	$\frac{1 + \sin (θ)}{1 - \sin (θ)} - \frac{1 - \sin (θ)}{1 + \sin (θ)} = 4 \sin (θ) \sec^{2} (θ)$
212694	Solve for x	-7/6+(x+1)/x=1/(6x)	$\frac{- 7}{6} + \frac{x + 1}{x} = \frac{1}{6 x}$
212695	Find the Roots (Zeros)	x^3+x^2-2=0	$x^{3} + x^{2} - 2 = 0$
212696	Solve for R	s=R-rR	$s = R - r R$
212697	Find the Product	(x-y)(x^2-xy+y^2)	$(x - y) (x^{2} - x y + y^{2})$
212698	Solve for a	(3a-2)/-3=a/3	$\frac{3 a - 2}{- 3} = \frac{a}{3}$
212699	Describe the Transformation	y=(1/3)^(x-1)	$y = {(\frac{1}{3})}^{x - 1}$
212700	Simplify	square root of 1/(4x)	$\sqrt{\frac{1}{4 x}}$