Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
35601	Find the Area	rectangle (3cm)(6cm)	 $\begin{array}{r} l = & 3 cm \\ w = & 6 cm \end{array}$
35602	Divide	(2x^11-5x^7-10x^6)÷2x^3	$(2 x^{11} - 5 x^{7} - 10 x^{6}) \div 2 x^{3}$
35603	Solve the Inequality for x	-2(x-3)+6x+4>=4x+6	$- 2 (x - 3) + 6 x + 4 \geq 4 x + 6$
35604	Graph	(infinity,negative infinity)	$(\infty, - \infty)$
35605	Determine if Dependent, Independent, or Inconsistent	3x-4y=13 y=-3x-7	$3 x - 4 y = 13$ $y = - 3 x - 7$
35606	Find dy/dx	y = natural log of (5x-4)/(x seventh root of x^2+1)	$y = \ln (\frac{5 x - 4}{x \sqrt[7]{x^{2} + 1}})$
35607	Divide Using Synthetic Division	x^3+2x^2+7 by x+3	$x^{3} + 2 x^{2} + 7$ by $x + 3$
35608	Multiply	square root of -1* square root of -1	$\sqrt{- 1} \cdot \sqrt{- 1}$
35609	Graph	f(x,y) = square root of x^2+y^2-4	$f (x, y) = \sqrt{x^{2} + y^{2} - 4}$
35610	Simplify	(-6-4i)/(-5i)	$\frac{- 6 - 4 i}{- 5 i}$
35611	Simplify	3b square root of 7-b square root of 7+b square root of 7	$3 b \sqrt{7} - b \sqrt{7} + b \sqrt{7}$
35612	Solve the Rational Equation for x	(x+6)^(1/2)=x	${(x + 6)}^{\frac{1}{2}} = x$
35613	Simplify	((2a^2-25a+72)/(4a^2-22a+18))÷((8a+8)/(2a-2))	$\frac{2 a^{2} - 25 a + 72}{4 a^{2} - 22 a + 18} \div \frac{8 a + 8}{2 a - 2}$
35614	Simplify the Radical Expression	( cube root of 4x^3)^3	${(\sqrt[3]{4 x^{3}})}^{3}$
35615	Find the Product	x/(x-3)*(2x)/(x+5)	$\frac{x}{x - 3} \cdot \frac{2 x}{x + 5}$
35616	Simplify	(-15-35z)/-10	$\frac{- 15 - 35 z}{- 10}$
35617	Evaluate	(3x)/((3x)^2+1)	$\frac{3 x}{{(3 x)}^{2} + 1}$
35618	Find the LCM	5 and 2	$5$ and $2$
35619	Find the Derivative - d/dx	y=x^2(2x^3-1)^3	$y = x^{2} {(2 x^{3} - 1)}^{3}$
35620	Describe the Transformation	f(x) = square root of x , g(x) = square root of x+1+8	$f (x) = \sqrt{x}$ , $g (x) = \sqrt{x + 1} + 8$
35621	Solve for x	(2x-3)^2-8=0	${(2 x - 3)}^{2} - 8 = 0$
35622	Evaluate the Integral	integral of (sec(2x)+tan(2x)) with respect to x	$\int (\sec (2 x) + \tan (2 x)) d x$
35623	Find All Complex Solutions	2^x+2^(5-x)=12	$2^{x} + 2^{5 - x} = 12$
35624	Find the Cosine of the Angle	-pi/2	$- \frac{π}{2}$
35625	Simplify	(4x^2+2x+2)+(5x^2-2-x)	$(4 x^{2} + 2 x + 2) + (5 x^{2} - 2 - x)$
35626	Simplify the Radical Expression	( square root of 5- square root of 3)^2	${(\sqrt{5} - \sqrt{3})}^{2}$
35627	Find dy/dx	y=5x square root of x^2+1	$y = 5 x \sqrt{x^{2} + 1}$
35628	Evaluate	3/(x^2+4x+4)=3/(x^2+8)	$\frac{3}{x^{2} + 4 x + 4} = \frac{3}{x^{2} + 8}$
35629	Find the Antiderivative	f(x)=3cos(x)-4sin(x)	$f (x) = 3 \cos (x) - 4 \sin (x)$
35630	Solve for y	-14+6x+7-2y=1	$- 14 + 6 x + 7 - 2 y = 1$
35631	Simplify	-4^2x^-1y^2z^3	$- 4^{2} x^{- 1} y^{2} z^{3}$
35632	Multiply	1/33/52 1/4	$\frac{1}{3} \cdot \frac{3}{5} \cdot 2 \frac{1}{4}$
35633	Solve for x	9(x-3)-8x>=-3	$9 (x - 3) - 8 x \geq - 3$
35634	Simplify the Radical Expression	( square root of 3)/(6 square root of 7)	$\frac{\sqrt{3}}{6 \sqrt{7}}$
35635	Find the Derivative of the Integral	g(x) = integral from 0 to x of (t^2-t)/( square root of t) with respect to t	$g (x) = \int_{0}^{x} \frac{t^{2} - t}{\sqrt{t}} d t$
35636	Solve for x	\|x^2-4\|=4-2x	$\| x^{2} - 4 \| = 4 - 2 x$
35637	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-6x^2-6x+20 is divided by x+2	Use the long division method to find the result when $x^{3} - 6 x^{2} - 6 x + 20$ is divided by $x + 2$
35638	Evaluate the Integral	Evaluate integral of -24x^5 with respect to x	Evaluate $\int - 24 x^{5} d x$
35639	Find the Product	(3e^2-5e+7)(6e+1)	$(3 e^{2} - 5 e + 7) (6 e + 1)$
35640	Evaluate	((9^3)/(6^3))^(-1/3)	${(\frac{9^{3}}{6^{3}})}^{- \frac{1}{3}}$
35641	Factor	x^4-1/4	$x^{4} - \frac{1}{4}$
35642	Simplify	limit as x approaches 0 of ( square root of x+1-1)/x	$lim_{x \to 0} \frac{\sqrt{x + 1} - 1}{x}$
35643	Solve for x	3(2x-1)+x=5x+3	$3 (2 x - 1) + x = 5 x + 3$
35644	Simplify	3e^x*2e^(4x)	$3 e^{x} \cdot 2 e^{4 x}$
35645	Simplify	f^1g^-1	$f^{1} g^{- 1}$
35646	Solve for x	10-3(2x-1)=1-6x	$10 - 3 (2 x - 1) = 1 - 6 x$
35647	Simplify	-(6^0)/7	$- \frac{6^{0}}{7}$
35648	Simplify	x^12x^32y^5	$x^{12} \cdot x^{32} \cdot y^{5}$
35649	Multiply	(3x-6)/(9x^2-49)*(3x+7)/(7x-3)	$\frac{3 x - 6}{9 x^{2} - 49} \cdot \frac{3 x + 7}{7 x - 3}$
35650	Factor	(2x^2)/(3x^2-4x)	$\frac{2 x^{2}}{3 x^{2} - 4 x}$
35651	Find the Antiderivative	f(x)=1/(2 square root of x)+1	$f (x) = \frac{1}{2 \sqrt{x}} + 1$
35652	Solve for p	ap-b=-cp+d	$a p - b = - c p + d$
35653	Evaluate the Summation	sum from k=1 to 4 of (-1)^(k+1)k	$\sum_{k = 1}^{4} {(- 1)}^{k + 1} k$
35654	Solve the Inequality for x	-15+8x>8x-3x	$- 15 + 8 x > 8 x - 3 x$
35655	Solve the Absolute Value Inequality for n	7\|n\|=56	$7 \| n \| = 56$
35656	Find the Product	(3 square root of 6)(2 square root of 3)	$(3 \sqrt{6}) (2 \sqrt{3})$
35657	Solve for x	2x+0=5x-0	$2 x + 0 = 5 x - 0$
35658	Simplify	1/3(12d+e)	$\frac{1}{3} (12 d + e)$
35659	Write in Standard Form	y=6x^2-6(x-2)^2	$y = 6 x^{2} - 6 {(x - 2)}^{2}$
35660	Solve for x	x^2+1>=0	$x^{2} + 1 \geq 0$
35661	Solve for x	x+2=-3(x+1)	$x + 2 = - 3 (x + 1)$
35662	Solve for θ in Degrees	2sin(theta)^2=sin(theta)	$2 \sin^{2} (θ) = \sin (θ)$
35663	Solve for b	ab=-a	$a b = - a$
35664	Simplify	(-7x^2y+xy+3x+2)+(5x^2y-5xy-6x-7)	$(- 7 x^{2} y + x y + 3 x + 2) + (5 x^{2} y - 5 x y - 6 x - 7)$
35665	Convert to Trigonometric Form	(6(cos(pi/3)+isin(pi/3)))/(3(cos(pi/6)+isin(pi/6)))	$\frac{6 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))}{3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))}$
35666	Simplify	square root of z^5 cube root of z^5	$\sqrt{z^{5}} \sqrt[3]{z^{5}}$
35667	Find the Slope	(-4,7) and (4,-3)	$(- 4, 7)$ and $(4, - 3)$
35668	Simplify	(20x^5+15x^2-10x^3)/(5x)	$\frac{20 x^{5} + 15 x^{2} - 10 x^{3}}{5 x}$
35669	Find the Equation Using Two Points	(-1,4) and (0,-1)	$(- 1, 4)$ and $(0, - 1)$
35670	Simplify	(3a+2b)^2-(a+3b+2c)^2	${(3 a + 2 b)}^{2} - {(a + 3 b + 2 c)}^{2}$
35671	Solve for m	m+5/6=11/12	$m + \frac{5}{6} = \frac{11}{12}$
35672	Add	Find the sum of -3x^2+5x-8 and -10x^2-x-3	Find the sum of $- 3 x^{2} + 5 x - 8$ and $- 10 x^{2} - x - 3$
35673	Solve the Function Operation	If P(x)=x^2+x+1 ; find P(7)	If $P (x) = x^{2} + x + 1$ ; find $P (7)$
35674	Find the Inverse	f(x)=9^(6(x+2))	$f (x) = 9^{6 (x + 2)}$
35675	Graph	f(x)=4x^2 , x<=0	$f (x) = 4 x^{2}$ , $x \leq 0$
35676	Find the Reference Angle	cot(225 degrees )	$\cot (225 °)$
35677	Find dy/dx	y=3/(sin(x)+cos(x))	$y = \frac{3}{\sin (x) + \cos (x)}$
35678	Simplify	((3x^2-192)/(64-x^2)*4/(x^2+16x+64))÷((x+10)/(x^2+18x+80))	$\frac{3 x^{2} - 192}{64 - x^{2}} \cdot \frac{4}{x^{2} + 16 x + 64} \div \frac{x + 10}{x^{2} + 18 x + 80}$
35679	Simplify	square root of x^2-4x+4- square root of x^2+4x+4	$\sqrt{x^{2} - 4 x + 4} - \sqrt{x^{2} + 4 x + 4}$
35680	Simplify the Radical Expression	square root of 12x^2+12x+3	$\sqrt{12 x^{2} + 12 x + 3}$
35681	Solve for z	2 7/8=3/4(z+1)	$2 \frac{7}{8} = \frac{3}{4} (z + 1)$
35682	Find the Domain and Range	y=sec(x+pi)	$y = \sec (x + π)$
35683	Convert to Radical Form	(3x^3)^(-2/7)	${(3 x^{3})}^{- \frac{2}{7}}$
35684	Evaluate	5(7+6s-9t)	$5 (7 + 6 s - 9 t)$
35685	Evaluate	5/8(4x-12)+1/2x-3 1/2=3(x+3)	$\frac{5}{8} (4 x - 12) + \frac{1}{2} x - 3 \frac{1}{2} = 3 (x + 3)$
35686	Factor	9b^2x-16y-16x+9b^2y	$9 b^{2} x - 16 y - 16 x + 9 b^{2} y$
35687	Find the Antiderivative	4-2/(x^3)	$4 - \frac{2}{x^{3}}$
35688	Find the Degree, Leading Term, and Leading Coefficient	m+m^3-8m^4	$m + m^{3} - 8 m^{4}$
35689	Find All Complex Solutions	x^3-5x^2+x-5=x^2+1	$x^{3} - 5 x^{2} + x - 5 = x^{2} + 1$
35690	Solve for x	(x^2+4x+4)/40=(x+2)/10	$\frac{x^{2} + 4 x + 4}{40} = \frac{x + 2}{10}$
35691	Graph	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
35692	Divide Using Synthetic Division	x^3+x^2-2x+14 by x+3	$x^{3} + x^{2} - 2 x + 14$ by $x + 3$
35693	Find the Length of c	tri{}{30}{}{60}{12}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 12 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
35694	Simplify	( square root of 3)/3+( square root of 3)/3	$\frac{\sqrt{3}}{3} + \frac{\sqrt{3}}{3}$
35695	Simplify	(16x-x^2)(4+ square root of x)	$(16 x - x^{2}) (4 + \sqrt{x})$
35696	Graph	Graph the line y=4	Graph the line $y = 4$
35697	Find the Derivative - d/dx	1/(\|x\|)	$\frac{1}{\| x \|}$
35698	Graph	(-2,6) , (-2,-3) , (7,6)	$(- 2, 6)$ , $(- 2, - 3)$ , $(7, 6)$
35699	Solve for x	-3(x+15)+4-5x=2+10x-7	$- 3 (x + 15) + 4 - 5 x = 2 + 10 x - 7$
35700	Find the Quotient	(a^3+b^3)/(a+b)	$\frac{a^{3} + b^{3}}{a + b}$