Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
34601	Simplify	square root of 4^3x^2	$\sqrt{4^{3} x^{2}}$
34602	Find the Asymptotes	(x^2-9)/(2x^2+1)	$\frac{x^{2} - 9}{2 x^{2} + 1}$
34603	Simplify	1/7+3/(8x)	$\frac{1}{7} + \frac{3}{8 x}$
34604	Simplify	(7x+4+6x^2)+(6+2x^2-4x)	$(7 x + 4 + 6 x^{2}) + (6 + 2 x^{2} - 4 x)$
34605	Solve the Inequality for x	log of 3x-1> log of 4-x	$\log (3 x - 1) > \log (4 - x)$
34606	Simplify	(10+7r-r2)+(-6r2-18+5r)	$(10 + 7 r - r \cdot 2) + (- 6 r \cdot 2 - 18 + 5 r)$
34607	Simplify	(1/2)/(3/2)	$\frac{\frac{1}{2}}{\frac{3}{2}}$
34608	Divide Using Long Polynomial Division	(2x^3+18x+5x^2+45)÷(2x+5)	$(2 x^{3} + 18 x + 5 x^{2} + 45) \div (2 x + 5)$
34609	Solve for f	34+23f>=175	$34 + 23 f \geq 175$
34610	Determine if True	(cos(x)tan(x))/(sin(x))=1	$\frac{\cos (x) \tan (x)}{\sin (x)} = 1$
34611	Divide	(1/6)÷(-1/3)	$\frac{1}{6} \div \frac{- 1}{3}$
34612	Solve for x in Degrees	7cos(x)sin(x)=-sin(x)	$7 \cos (x) \sin (x) = - \sin (x)$
34613	Find the Domain	(63x^2+81x)/(81x^2-126x+49)	$\frac{63 x^{2} + 81 x}{81 x^{2} - 126 x + 49}$
34614	Simplify	x/3-1/4x	$\frac{x}{3} - \frac{1}{4} x$
34615	Solve for y	y = square root of 121+6	$y = \sqrt{121} + 6$
34616	Solve for p	log base 8 of p^2+15=2	$\log_{8} (p^{2} + 15) = 2$
34617	Graph	\|x\|>y y<=6 y>=-2	$\| x \| > y$ $y \leq 6$ $y \geq - 2$
34618	Solve for x	(3(x+4))/(4(x+3)^(3/2))=0	$\frac{3 (x + 4)}{4 {(x + 3)}^{\frac{3}{2}}} = 0$
34619	Simplify	(x/4+1/8)/((x^2)/4)	$\frac{\frac{x}{4} + \frac{1}{8}}{\frac{x^{2}}{4}}$
34620	Solve for x	3/x=10/(4x)-2	$\frac{3}{x} = \frac{10}{4 x} - 2$
34621	Simplify	(a-(2a-1)/a)/((1-a)/(3a))	$\frac{(a - \frac{(2 a - 1)}{a})}{\frac{(1 - a)}{3 a}}$
34622	Evaluate	(5y^3)/((5y)^-2)	$\frac{5 y^{3}}{{(5 y)}^{- 2}}$
34623	Graph	y>-3 y>4x+1	$y > - 3$ $y > 4 x + 1$
34624	Solve the Inequality for d	12>d/12	$12 > \frac{d}{12}$
34625	Solve for k	f(x+5)=x^2+kx+30	$f (x + 5) = x^{2} + k x + 30$
34626	Find dy/dx	y=x(2x+1)^4	$y = x {(2 x + 1)}^{4}$
34627	Simplify	Simplify: (3^2)^2	Simplify: ${(3^{2})}^{2}$
34628	Solve for k	-600=2/5k^3+750	$- 600 = \frac{2}{5} k^{3} + 750$
34629	Find the Maximum/Minimum Value	x(x-3)^2(x+1)	$x {(x - 3)}^{2} (x + 1)$
34630	Solve for x	28-5=2+3(x+3)	$28 - 5 = 2 + 3 (x + 3)$
34631	Find the Product	(7x)/(x-4)*x/(x+7)	$\frac{7 x}{x - 4} \cdot \frac{x}{x + 7}$
34632	Solve for x	(x+1)/2-x/6=1/2	$\frac{x + 1}{2} - \frac{x}{6} = \frac{1}{2}$
34633	Simplify	(x^2-6x)/(x^2-36)*(x+6)/(x^2)	$\frac{x^{2} - 6 x}{x^{2} - 36} \cdot \frac{x + 6}{x^{2}}$
34634	Evaluate	((-2m^4)^2)/(8m^2)	$\frac{{(- 2 m^{4})}^{2}}{8 m^{2}}$
34635	Solve the Function Operation	g(x)=-3x-4 ; find g(1)	$g (x) = - 3 x - 4$ ; find $g (1)$
34636	Simplify	2x^2-3xy+4y^2-3x^2-5xy-6y^2	$2 x^{2} - 3 x y + 4 y^{2} - 3 x^{2} - 5 x y - 6 y^{2}$
34637	Simplify	(x+y)-(y-x)	$(x + y) - (y - x)$
34638	Divide	(-4/7)÷(8/5)	$- \frac{4}{7} \div \frac{8}{5}$
34639	Factor	3x^2-9y+12xy	$3 x^{2} - 9 y + 12 x y$
34640	Evaluate	(2^x)^2	${(2^{x})}^{2}$
34641	Solve the Inequality for x	5(x-1)-2(x-3)>=13	$5 (x - 1) - 2 (x - 3) \geq 13$
34642	Simplify	( square root of 15)/( square root of 3+ square root of 5)	$\frac{\sqrt{15}}{\sqrt{3} + \sqrt{5}}$
34643	Simplify	x^2-(x+3)^2	$x^{2} - {(x + 3)}^{2}$
34644	Solve for x	1/(x+3)=(x+4)/(x-2)+6/(x-2)	$\frac{1}{x + 3} = \frac{x + 4}{x - 2} + \frac{6}{x - 2}$
34645	Simplify	(ab+a^2-b)(a-b^2+2)-2(a^2-b)	$(a b + a^{2} - b) (a - b^{2} + 2) - 2 (a^{2} - b)$
34646	Simplify	-5x^7x^-112x^4	$- 5 x^{7} \cdot x^{- 11} \cdot 2 x^{4}$
34647	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,4) and has a slope of -5/6 ?	What is the equation of the line that passes through the point $(- 6, 4)$ and has a slope of $- \frac{5}{6}$ ?
34648	Find the Third Derivative	f(x)=-3x-5/8x^-2+1/2x^3-1/10x^5	$f (x) = - 3 x - \frac{5}{8} x^{- 2} + \frac{1}{2} x^{3} - \frac{1}{10} x^{5}$
34649	Simplify/Condense	3 log base 5 of x-1/2 log base 5 of 6-x	$3 \log_{5} (x) - \frac{1}{2} \log_{5} (6 - x)$
34650	Solve for y	x-yz+5=8	$x - y z + 5 = 8$
34651	Graph	y=cos(2)(theta-pi/2)	$y = \cos (2) (θ - \frac{π}{2})$
34652	Evaluate the Integral	integral from 0 to 5 of x/(x+10) with respect to x	$\int_{0}^{5} \frac{x}{x + 10} d x$
34653	Find the Derivative - d/dt	5sin(3t+2)	$5 \sin (3 t + 2)$
34654	Find f(g(x))	f(x)=2x^2-1 , g(x) = square root of (x+1)/2	$f (x) = 2 x^{2} - 1$ , $g (x) = \sqrt{\frac{x + 1}{2}}$
34655	Determine if Linear	x/4-y/3=1	$\frac{x}{4} - \frac{y}{3} = 1$
34656	Find the Derivative - d/dy	cos(y^2)	$\cos (y^{2})$
34657	Graph	p(x)=-3x+7 if x<=3; x if 3=5	$p (x) = {\begin{cases} - 3 x + 7 & x \leq 3 \\ x & 3 = 5 \end{cases}$
34658	Convert to Interval Notation	-7<(6-5x)/2<-2	$- 7 < \frac{6 - 5 x}{2} < - 2$
34659	Simplify	((x+2)/(x+3))(x+3)	$(\frac{x + 2}{x + 3}) (x + 3)$
34660	Simplify	(4^-1s^3)^-2	${(4^{- 1} s^{3})}^{- 2}$
34661	Evaluate	sin(theta)+cot(theta)cos(theta)	$\sin (θ) + \cot (θ) \cos (θ)$
34662	Find the Roots (Zeros)	y=-2x^4+3	$y = - 2 x^{4} + 3$
34663	Simplify	x^-3x^4x^3	$x^{- 3} x^{4} x^{3}$
34664	Simplify	((10x^3)/9)÷(5/(8x^3))	$\frac{10 x^{3}}{9} \div \frac{5}{8 x^{3}}$
34665	Simplify	5(x^3)^-3(2x)^-4	$5 {(x^{3})}^{- 3} {(2 x)}^{- 4}$
34666	Find the Roots (Zeros)	x^6-2x^5-5x^4+6x^3	$x^{6} - 2 x^{5} - 5 x^{4} + 6 x^{3}$
34667	Evaluate the Limit	limit as x approaches 0 of sec(e^x-1)^2	$lim_{x \to 0} \sec^{2} (e^{x} - 1)$
34668	Simplify	(x+3)/(x+4)-(3x-6)/(x^2+2x-8)	$\frac{x + 3}{x + 4} - \frac{3 x - 6}{x^{2} + 2 x - 8}$
34669	Graph	f(x)=(x^2+5x+4)/(2x^2-2)	$f (x) = \frac{x^{2} + 5 x + 4}{2 x^{2} - 2}$
34670	Divide	(x/(x^2))÷((x^2+6x-27)/(x^2-9))	$\frac{x}{x^{2}} \div \frac{x^{2} + 6 x - 27}{x^{2} - 9}$
34671	Add	(8y-2x)+(-4y-3x)	$(8 y - 2 x) + (- 4 y - 3 x)$
34672	Simplify	( square root of 7)÷( square root of 3)- square root of 2	$\sqrt{7} \div \sqrt{3} - \sqrt{2}$
34673	Factor	(16p^3+6p^2)	$(16 p^{3} + 6 p^{2})$
34674	Solve the Rational Equation for n	square root of n+9=1	$\sqrt{n + 9} = 1$
34675	Evaluate	-4a(1/2b+1/4c+1)	$- 4 a (\frac{1}{2} b + \frac{1}{4} c + 1)$
34676	Simplify	( cube root of 7xy^2)/( cube root of 4x^2)	$\frac{\sqrt[3]{7 x y^{2}}}{\sqrt[3]{4 x^{2}}}$
34677	Find dy/dx	sin(x^2y^2)=3y	$\sin (x^{2} y^{2}) = 3 y$
34678	Graph	F(x)=x^5-x^3+x^2	$F (x) = x^{5} - x^{3} + x^{2}$
34679	Solve for x	81=3x^2	$81 = 3 x^{2}$
34680	Solve for x	(x^2-9)(x^2+12x+36)=0	$(x^{2} - 9) (x^{2} + 12 x + 36) = 0$
34681	Solve for x	F(x)=1/x	$F (x) = \frac{1}{x}$
34682	Simplify	(x^2-3x+2)/(x+1)*(x-2)/(x^2-4x+4)	$\frac{x^{2} - 3 x + 2}{x + 1} \cdot \frac{x - 2}{x^{2} - 4 x + 4}$
34683	Simplify	(4^-2)/(2^-4)	$\frac{4^{- 2}}{2^{- 4}}$
34684	Solve for x	17/3(x-3/2)=-5/4	$\frac{17}{3} (x - \frac{3}{2}) = - \frac{5}{4}$
34685	Solve for x	square root of x^2-4x=-4+x	$\sqrt{x^{2} - 4 x} = - 4 + x$
34686	Subtract	(9+52i)-(1)	$(9 + 52 i) - (1)$
34687	Solve for n	log base 1/2 of n=-2	$\log_{\frac{1}{2}} (n) = - 2$
34688	Evaluate Using the Given Value	Evaluate 8a+3b-10+c^2 when a=2 , b=5 ; and c=4	Evaluate $8 a + 3 b - 10 + c^{2}$ when $a = 2$ , $b = 5$ ; and $c = 4$
34689	Evaluate	(x^7x^3)/(y^-3y^-8)	$\frac{x^{7} x^{3}}{y^{- 3} y^{- 8}}$
34690	Simplify the Radical Expression	5 square root of 9-9 square root of 16	$5 \sqrt{9} - 9 \sqrt{16}$
34691	Simplify	(2xy)^5(2xy^5)	${(2 x y)}^{5} (2 x y^{5})$
34692	Find the Derivative - d/dy	-y/(x+2y)	$- \frac{y}{x + 2 y}$
34693	Find the LCM	LCM of 6 and 9	LCM of $6$ and $9$
34694	Find the Holes in the Graph	(x^2+4x)/(x^2+3x-4)	$\frac{x^{2} + 4 x}{x^{2} + 3 x - 4}$
34695	Find the Degree, Leading Term, and Leading Coefficient	f(x)=x^3(x+3)^2(x-5)	$f (x) = x^{3} {(x + 3)}^{2} (x - 5)$
34696	Convert to Radical Form	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
34697	Simplify	(9x^2+2x)-(2x^2+2x)-(4x^2-4)	$(9 x^{2} + 2 x) - (2 x^{2} + 2 x) - (4 x^{2} - 4)$
34698	Solve by Substitution	2x+y=-2 and 5x+3y=-8	$2 x + y = - 2$ and $5 x + 3 y = - 8$
34699	Simplify the Radical Expression	cube root of 3* cube root of -20	$\sqrt[3]{3} \cdot \sqrt[3]{- 20}$
34700	Simplify the Radical Expression	fourth root of 405x^2y^3	$\sqrt[4]{405 x^{2} y^{3}}$