Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
48401	Simplify	(y^2+8y)/(y^2-9)+(2y+21)/(y^2-9)	$\frac{y^{2} + 8 y}{y^{2} - 9} + \frac{2 y + 21}{y^{2} - 9}$
48402	Rationalize the Denominator	(x^3)/( square root of x)	$\frac{x^{3}}{\sqrt{x}}$
48403	Evaluate the Integral	4 integral of 1/(1-x^2) with respect to x	$4 \int \frac{1}{1 - x^{2}} d x$
48404	Evaluate	8% of 150	$8 %$ of $150$
48405	Solve the Inequality for k	-18+k/3<=-26	$- 18 + \frac{k}{3} \leq - 26$
48406	Solve the System of Inequalities	x<-10 and x<10	$x < - 10$ and $x < 10$
48407	Solve for y	x^2+y^2-4=0	$x^{2} + y^{2} - 4 = 0$
48408	Write in y=mx+b Form	x=4y	$x = 4 y$
48409	Solve the Inequality for x	5 square root of x+2>17	$5 \sqrt{x} + 2 > 17$
48410	Multiply	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a} \cdot 8 \sqrt{35 a^{2}}$
48411	Simplify	(9x^5y^-3z^-2)/(3x^3y^3z^5)	$\frac{9 x^{5} y^{- 3} z^{- 2}}{3 x^{3} y^{3} z^{5}}$
48412	Divide Using Long Polynomial Division	8x^3+6x^2+15x+7 divided by 2x+1	$8 x^{3} + 6 x^{2} + 15 x + 7$ divided by $2 x + 1$
48413	Solve the Absolute Value Inequality for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
48414	Solve for b	2=-2/5(-3)+b	$2 = - \frac{2}{5} (- 3) + b$
48415	Evaluate	20% of 5	$20 %$ of $5$
48416	Evaluate	(x^2)/(x^(1/2))	$\frac{x^{2}}{x^{\frac{1}{2}}}$
48417	Find the Domain and Range	f(x)=0.5\|2x-4\|+3	$f (x) = 0.5 \| 2 x - 4 \| + 3$
48418	Graph	y=-x^3+3x^2-2	$y = - x^{3} + 3 x^{2} - 2$
48419	Divide	(6p^3+150p^2+5p)÷15p	$(6 p^{3} + 150 p^{2} + 5 p) \div 15 p$
48420	Find the Length of a	tri{5}{}{13}{}{}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = & 5 \\ c = & 13 \\ a = \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
48421	Graph	{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}	${{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{{}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}}$
48422	Convert to Radical Form	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
48423	Solve for y	y=1/4(0)^2	$y = \frac{1}{4} {(0)}^{2}$
48424	Simplify	3^(x+2)9^(x-1)3^2	$3^{x + 2} \cdot 9^{x - 1} \cdot 3^{2}$
48425	Solve the System of Inequalities	x<4 and x>=1	$x < 4$ and $x \geq 1$
48426	Solve for u	u/12=6/9	$\frac{u}{12} = \frac{6}{9}$
48427	Find the Derivative - d/dx	3e^x-e^(2x)	$3 e^{x} - e^{2 x}$
48428	Simplify/Condense	(sin(x)+cos(x))^2	${(\sin (x) + \cos (x))}^{2}$
48429	Graph	-2(7+y)>=-8(y+1)	$- 2 (7 + y) \geq - 8 (y + 1)$
48430	Evaluate	(4n^4-8n+4)-(8n^2+4n^4+1)	$(4 n^{4} - 8 n + 4) - (8 n^{2} + 4 n^{4} + 1)$
48431	Simplify	(2cos(theta)-1)(2cos(theta)+1)	$(2 \cos (θ) - 1) (2 \cos (θ) + 1)$
48432	Find the Derivative - d/dx	(cos(x)^2)	$(\cos^{2} (x))$
48433	Add	7/(x-3)+(3x+1)/(x-5)	$\frac{7}{x - 3} + \frac{3 x + 1}{x - 5}$
48434	Evaluate	8e^(4x+8)=15	$8 e^{4 x + 8} = 15$
48435	Find the Equation Using Two Points	(3,6) and (5,5)	$(3, 6)$ and $(5, 5)$
48436	Solve the Inequality for y	2x-5y>8	$2 x - 5 y > 8$
48437	Solve the System of Equations	8-0.9x=0.4y -y+0.3x=1.6	$8 - 0.9 x = 0.4 y$ $- y + 0.3 x = 1.6$
48438	Solve for x	(x-1)/(x+1)+4/(x-1)=5/2	$\frac{x - 1}{x + 1} + \frac{4}{x - 1} = \frac{5}{2}$
48439	Find the Derivative - d/dx	10-1/5(x-6)^2	$10 - \frac{1}{5} {(x - 6)}^{2}$
48440	Find the Asymptotes	(2x(x+5))/(3(x+5))	$\frac{2 x (x + 5)}{3 (x + 5)}$
48441	Solve the Inequality for x	1/2x+3<2/3x+5/3	$\frac{1}{2} x + 3 < \frac{2}{3} x + \frac{5}{3}$
48442	Simplify the Radical Expression	sixth root of y^4	$\sqrt[6]{y^{4}}$
48443	Evaluate	31914+18÷2	$3 \cdot 19 \cdot 14 + 18 \div 2$
48444	Evaluate	fourth root of 256(x^2-1)^12	$\sqrt[4]{256 {(x^{2} - 1)}^{12}}$
48445	Write in Exponential Form	1/(( square root of 2)^5)	$\frac{1}{{(\sqrt{2})}^{5}}$
48446	Find the LCM	lcm of 6 and 10	lcm of $6$ and $10$
48447	Solve for x	x^2-3(x+1)<=x-3x-3	$x^{2} - 3 (x + 1) \leq x - 3 x - 3$
48448	Evaluate the Limit	limit as x approaches 1/2 of (2x-5)/7	$lim_{x \to \frac{1}{2}} \frac{2 x - 5}{7}$
48449	Solve for x	square root of cube root of x=2	$\sqrt{\sqrt[3]{x}} = 2$
48450	Simplify	(-5x^6)(2x^-4y)(-6x^-3y^4)	$(- 5 x^{6}) (2 x^{- 4} y) (- 6 x^{- 3} y^{4})$
48451	Find the x and y Intercepts	(x^2+y^2-6x)^2=36x^2+36y^2	${(x^{2} + y^{2} - 6 x)}^{2} = 36 x^{2} + 36 y^{2}$
48452	Solve for x	x^2+6=6	$x^{2} + 6 = 6$
48453	Evaluate	y=(1/5)^-3	$y = {(\frac{1}{5})}^{- 3}$
48454	Evaluate	(180(7-2))/7	$\frac{180 (7 - 2)}{7}$
48455	Solve for x	x=2y-4 7x+5y=-66	$x = 2 y - 4$ $7 x + 5 y = - 66$
48456	Simplify	x^-1y^4*2x^-2y^4	$x^{- 1} y^{4} \cdot 2 x^{- 2} y^{4}$
48457	Write in Exponential Form	cube root of 4+ sixth root of 4	$\sqrt[3]{4} + \sqrt[6]{4}$
48458	Factor	(9(t-4)^8(5t+8)^9-9(5t+8)^8*5(t-4)^9)/(((5t+8)^9)^2)	$\frac{9 {(t - 4)}^{8} {(5 t + 8)}^{9} - 9 {(5 t + 8)}^{8} \cdot 5 {(t - 4)}^{9}}{{({(5 t + 8)}^{9})}^{2}}$
48459	Find the Vertex Form	x^2+8x=y-1	$x^{2} + 8 x = y - 1$
48460	Solve for x	x^2+62=-16x	$x^{2} + 62 = - 16 x$
48461	Solve the Inequality for x	-4<2x+1<7	$- 4 < 2 x + 1 < 7$
48462	Simplify the Radical Expression	sixth root of y^5 cube root of y^5	$\sqrt[6]{y^{5}} \sqrt[3]{y^{5}}$
48463	Find the Asymptotes	(3(x-7)(x+7))/(2(x+7))	$\frac{3 (x - 7) (x + 7)}{2 (x + 7)}$
48464	Subtract	-3/5-(-4/15)	$- \frac{3}{5} - (- \frac{4}{15})$
48465	Graph Using a Table of Values	f(x)=-3^(x-5)+1	$f (x) = - 3^{x - 5} + 1$
48466	Solve the Absolute Value Inequality for x	3-\|x-10\|=-2	$3 - \| x - 10 \| = - 2$
48467	Graph	(sin(2x))/x	$\frac{\sin (2 x)}{x}$
48468	Write in Slope-Intercept Form	(2,-4) , slope=-3	$(2, - 4)$ , $s l o p e = - 3$
48469	Solve for x	3x-7y=4 x+7y=16	$3 x - 7 y = 4$ $x + 7 y = 16$
48470	Add	(16-x^2)+(-18x^2+7x^5-10x^4+5)	$(16 - x^{2}) + (- 18 x^{2} + 7 x^{5} - 10 x^{4} + 5)$
48471	Solve by Factoring	4x^2-64=8x-4	$4 x^{2} - 64 = 8 x - 4$
48472	Evaluate	1/3+1/6+1/12+1/24+1/48	$\frac{1}{3} + \frac{1}{6} + \frac{1}{12} + \frac{1}{24} + \frac{1}{48}$
48473	Convert to Rectangular Coordinates	(1.5,-(7pi)/6)	$(1.5, - \frac{7 π}{6})$
48474	Simplify	(x/(x-1))/(x/(x-1)-1)	$\frac{\frac{x}{x - 1}}{\frac{x}{x - 1} - 1}$
48475	Simplify	sin(x)^2+csc(x)^2	$\sin^{2} (x) + \csc^{2} (x)$
48476	Simplify	-1/2+(-1/5)	$- \frac{1}{2} + (- \frac{1}{5})$
48477	Solve the Function Operation	g(x)=x-2 h(x)=-x-4 Find g(h(x))	$g (x) = x - 2$ $h (x) = - x - 4$ Find $g (h (x))$
48478	Solve for x in Radians	sin(3x)=-( square root of 3)/2	$\sin (3 x) = - \frac{\sqrt{3}}{2}$
48479	Simplify	cube root of (-2a)^4	$\sqrt[3]{{(- 2 a)}^{4}}$
48480	Simplify	x/(2x-4)-5/(x+1)	$\frac{x}{2 x - 4} - \frac{5}{x + 1}$
48481	Find the End Behavior	f(x)=x^2+2x-5	$f (x) = x^{2} + 2 x - 5$
48482	Convert to Radical Form	6^(1/4)b^(3/4)c^(1/4)	$6^{\frac{1}{4}} b^{\frac{3}{4}} c^{\frac{1}{4}}$
48483	Find the Slope	(7,-4) and (7,-1)	$(7, - 4)$ and $(7, - 1)$
48484	Find the Difference Quotient	5x^2	$5 x^{2}$
48485	Graph	y=2x y=-3x+5	$y = 2 x$ $y = - 3 x + 5$
48486	Find the GCF	10gh^2 and 5h	$10 g h^{2}$ and $5 h$
48487	Multiply	1x*x	$1 x \cdot x$
48488	Find the Parallel Line	(5,-2) that is parallel to the line 5x+6y=7	$(5, - 2)$ that is parallel to the line $5 x + 6 y = 7$
48489	Find the Derivative - d/df	f(x)^2	$f {(x)}^{2}$
48490	Solve for x	1/4(x+3/5)=2/5	$\frac{1}{4} (x + \frac{3}{5}) = \frac{2}{5}$
48491	Simplify	( square root of 17)/-4	$\frac{\sqrt{17}}{- 4}$
48492	Simplify	4^(-7/4)*4^(-7/4)	$4^{- \frac{7}{4}} \cdot 4^{- \frac{7}{4}}$
48493	Find the Antiderivative	e^(2x-1)*y^-2	$e^{2 x - 1} \cdot y^{- 2}$
48494	Simplify	((a^(3/8))/(a^(1/8)))^2	${(\frac{a^{\frac{3}{8}}}{a^{\frac{1}{8}}})}^{2}$
48495	Find the Derivative - d/dx	y=( square root of x^3+ square root of x^5)^n	$y = {(\sqrt{x^{3}} + \sqrt{x^{5}})}^{n}$
48496	Solve the System of Equations	5x+4y+3z=0 -5x-6y+10z=10 5x+3y+3z=5	$5 x + 4 y + 3 z = 0$ $- 5 x - 6 y + 10 z = 10$ $5 x + 3 y + 3 z = 5$
48497	Find the Exact Value	log base 25 of 1/5	$\log_{25} (\frac{1}{5})$
48498	Simplify	( square root of 16)/(5 square root of 25)	$\frac{\sqrt{16}}{5 \sqrt{25}}$
48499	Solve for u	6=-3/u	$6 = - \frac{3}{u}$
48500	Solve for b	A=(h(a+b))/2	$A = \frac{h (a + b)}{2}$