Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
43701	Simplify	( square root of 48)÷( square root of 3)	$\sqrt{48} \div \sqrt{3}$
43702	Find the Exact Value	\|-6\|-\|6\|-(-6)	$\| - 6 \| - \| 6 \| - (- 6)$
43703	Solve for x	2+ log of x=0	$2 + \log (x) = 0$
43704	Add	(4x-5)/2+(4x+5)/2	$\frac{4 x - 5}{2} + \frac{4 x + 5}{2}$
43705	Find the Domain and Range	f(x)=3-2x,x<-1; x^2,x>=-1	$f (x) = {\begin{cases} 3 - 2 x, x < - 1 \\ x^{2}, x \geq - 1 \end{cases}$
43706	Find the Asymptotes	(2(x-1))/(x-8)	$\frac{2 (x - 1)}{x - 8}$
43707	Evaluate	Find the value of cube root of -8	Find the value of $\sqrt[3]{- 8}$
43708	Subtract	-7a^2+3a-9-5a^2-6a-4	$- 7 a^{2} + 3 a - 9 - 5 a^{2} - 6 a - 4$
43709	Simplify	(x)(x)(x)(x)	$(x) (x) (x) (x)$
43710	Solve the Inequality for x	x+5<0	$x + 5 < 0$
43711	Evaluate	((2mn)^4)/(6m^-3n^-2)	$\frac{{(2 m n)}^{4}}{6 m^{- 3} n^{- 2}}$
43712	Solve the Inequality for h	-8>h-4	$- 8 > h - 4$
43713	Find the Derivative - d/dx	(2x^2)/(2-x^2)	$\frac{2 x^{2}}{2 - x^{2}}$
43714	Evaluate	2^(2^(2^(2^2)))	$2^{2^{2^{2^{2}}}}$
43715	Simplify	(8x^3y^12z^-2)/(24x^23y^4z^-2)	$\frac{8 x^{3} y^{12} z^{- 2}}{24 x^{23} y^{4} z^{- 2}}$
43716	Solve the Inequality for p	7p-11p+3>=3-4p	$7 p - 11 p + 3 \geq 3 - 4 p$
43717	Add	2 square root of 27+8 square root of 3+5 square root of 8	$2 \sqrt{27} + 8 \sqrt{3} + 5 \sqrt{8}$
43718	Find the Antiderivative	1/(x(x^2+1))	$\frac{1}{x (x^{2} + 1)}$
43719	Evaluate	square root of 3+( square root of 3)/2	$\sqrt{3} + \frac{\sqrt{3}}{2}$
43720	Find the Maximum/Minimum Value	y=10+12x-3x^2-2x^3	$y = 10 + 12 x - 3 x^{2} - 2 x^{3}$
43721	Evaluate	((1/8)^(1/3))^-2	${({(\frac{1}{8})}^{\frac{1}{3}})}^{- 2}$
43722	Write Using Positive Exponents	x^6y^-2	$x^{6} y^{- 2}$
43723	Simplify	(x- square root of 8)(x+ square root of 8)	$(x - \sqrt{8}) (x + \sqrt{8})$
43724	Solve the System of Inequalities	x<-6 and x<6	$x < - 6$ and $x < 6$
43725	Simplify	((3xy)/(2x^2))^-2	${(\frac{3 x y}{2 x^{2}})}^{- 2}$
43726	Evaluate	cube root of 2^4*5^5	$\sqrt[3]{2^{4} \cdot 5^{5}}$
43727	Find the Derivative - d/dx	(e^( square root of x))/( square root of x)	$\frac{e^{\sqrt{x}}}{\sqrt{x}}$
43728	Simplify the Radical Expression	(-12 square root of 12)(-3 square root of 3)	$(- 12 \sqrt{12}) (- 3 \sqrt{3})$
43729	Evaluate	8-43(-2^3)	$8 - 4 \cdot 3 \cdot (- 2^{3})$
43730	Find the Axis of Symmetry	25x^2+4y^2=100	$25 x^{2} + 4 y^{2} = 100$
43731	Simplify	square root of -49+4 cube root of 1000+5 square root of 81	$\sqrt{- 49} + 4 \sqrt[3]{1000} + 5 \sqrt{81}$
43732	Solve for θ in Radians	sec((3theta)/2)=-2	$\sec (\frac{3 θ}{2}) = - 2$
43733	Evaluate	square root of 87- square root of 36	$\sqrt{87 - \sqrt{36}}$
43734	Evaluate the Integral	integral from -4 to -1 of x^2(3-4x) with respect to x	$\int_{- 4}^{- 1} x^{2} (3 - 4 x) d x$
43735	Solve for x	y=4(x+a)	$y = 4 (x + a)$
43736	Evaluate	(1/( square root of 3))^7	${(\frac{1}{\sqrt{3}})}^{7}$
43737	Simplify	(3x^2yz^3)^3	${(3 x^{2} y z^{3})}^{3}$
43738	Write in Standard Form	y^2+x^2+4x-4y-1=0	$y^{2} + x^{2} + 4 x - 4 y - 1 = 0$
43739	Write Using Positive Exponents	7xy^-4	$7 x y^{- 4}$
43740	Evaluate	-7/3+(-5/6)	$- \frac{7}{3} + (- \frac{5}{6})$
43741	Convert to a Percentage	0.9 as a percentage	$0.9$ as a percentage
43742	Evaluate the Limit	limit as z approaches 3 of (z-3)/( square root of 4-z-1)	$lim_{z \to 3} \frac{z - 3}{\sqrt{4 - z} - 1}$
43743	Solve for f	f(x)=3(2)^x for x=-1	$f (x) = 3 {(2)}^{x}$ for $x = - 1$
43744	Simplify	sin(theta)-sin(theta)tan(theta)	$\sin (θ) - \sin (θ) \tan (θ)$
43745	Solve for x	-2 square root of x+3=-x-4	$- 2 \sqrt{x + 3} = - x - 4$
43746	Solve for x	square root of x+60 = square root of x+6	$\sqrt{x + 60} = \sqrt{x + 6}$
43747	Evaluate the Integral	integral from 0 to 4 of (x-3)^2+3 with respect to x	$\int_{0}^{4} {(x - 3)}^{2} + 3 d x$
43748	Simplify the Radical Expression	(81x^-24y^-12)^(1/4)	${(81 x^{- 24} y^{- 12})}^{\frac{1}{4}}$
43749	Graph	y<3x+2 , 2y<=6x-4	$y < 3 x + 2$ , $2 y \leq 6 x - 4$
43750	Solve the Inequality for x	-5<=(2-3x)/4<=9	$- 5 \leq \frac{2 - 3 x}{4} \leq 9$
43751	Add	1/2 square root of 2+1/3 square root of 2	$\frac{1}{2} \sqrt{2} + \frac{1}{3} \sqrt{2}$
43752	Find the Domain	1/(b^2-ab)-1/(ab-a^2)	$\frac{1}{b^{2} - a b} - \frac{1}{a b - a^{2}}$
43753	Combine Like Terms	2/5y+1/5x-0.2y-6+(-2)	$\frac{2}{5} y + \frac{1}{5} x - 0.2 y - 6 + (- 2)$
43754	Simplify	(6y^2+18y-60)/(3y^2-12y)*(y^2-16)/(y^2+2y-8)	$\frac{6 y^{2} + 18 y - 60}{3 y^{2} - 12 y} \cdot \frac{y^{2} - 16}{y^{2} + 2 y - 8}$
43755	Find the Vertex	y+2=-x^2+3x	$y + 2 = - x^{2} + 3 x$
43756	Evaluate the Limit	limit as x approaches infinity of x^-5	$lim_{x \to \infty} x^{- 5}$
43757	Evaluate	20 root of (y^-8)/(y^-3)	$\sqrt[20]{\frac{y^{- 8}}{y^{- 3}}}$
43758	Find the Reference Angle	cot(-(10pi)/3)	$\cot (- \frac{10 π}{3})$
43759	Simplify	e^(2 natural log of 2)	$e^{2 \ln (2)}$
43760	Find the Excluded Values	1/(x-4)-3/(x+2)=6/(x^2-2x-8)	$\frac{1}{x - 4} - \frac{3}{x + 2} = \frac{6}{x^{2} - 2 x - 8}$
43761	Simplify	plus or minus square root of 49x^4	$\pm \sqrt{49 x^{4}}$
43762	Solve the Inequality for x	6^x>12	$6^{x} > 12$
43763	Simplify	square root of (pi- square root of 15)^2	$\sqrt{{(π - \sqrt{15})}^{2}}$
43764	Simplify	\|-12+8-(-2)\|	$\| - 12 + 8 - (- 2) \|$
43765	Simplify	sin(pi/4)cos(pi/3)+cos(pi/4)sin(pi/3)	$\sin (\frac{π}{4}) \cos (\frac{π}{3}) + \cos (\frac{π}{4}) \sin (\frac{π}{3})$
43766	Simplify the Radical Expression	((x^3y^2)^(3/2))/((x^-1y^(-2/3))^(1/4))	$\frac{{(x^{3} y^{2})}^{\frac{3}{2}}}{{(x^{- 1} y^{- \frac{2}{3}})}^{\frac{1}{4}}}$
43767	Solve for x	x(3x-8)=-5	$x (3 x - 8) = - 5$
43768	Simplify	x2/3*x1/3	$x \frac{2}{3} \cdot x \frac{1}{3}$
43769	Solve Using the Quadratic Formula	x^2+72-1200=0	$x^{2} + 72 - 1200 = 0$
43770	Solve for q	q^3+64=0	$q^{3} + 64 = 0$
43771	Solve for x	log base 6 of x+ log base 6 of x^2+ natural log of e=2	$\log_{6} (x) + \log_{6} (x^{2}) + \ln (e) = 2$
43772	Solve the Rational Equation for x	square root of x+2 = square root of x+10	$\sqrt{x} + 2 = \sqrt{x + 10}$
43773	Find All Complex Solutions	square root of x-4=5	$\sqrt{x - 4} = 5$
43774	Solve for x	x^4=16/625	$x^{4} = \frac{16}{625}$
43775	Find the Second Derivative	y=-2/5x^5-1/2x^2-1/2x^-2	$y = - \frac{2}{5} x^{5} - \frac{1}{2} x^{2} - \frac{1}{2} x^{- 2}$
43776	Find g(f(x))	f(x) = cube root of x-1 , g(x)=x^3+1	$f (x) = \sqrt[3]{x - 1}$ , $g (x) = x^{3} + 1$
43777	Solve the System of Equations	y=x^2-2x+2 2x+y=2	$y = x^{2} - 2 x + 2$ $2 x + y = 2$
43778	Find the Leading Coefficient	3x^5-7x^4-5x^3+18x^2-5	$3 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 5$
43779	Find the Symmetry	y=x^3+x^2-36x-36	$y = x^{3} + x^{2} - 36 x - 36$
43780	Solve the System of Equations	-6x+7y=9 and 2x-2y=-4	$- 6 x + 7 y = 9$ and $2 x - 2 y = - 4$
43781	Simplify	((x-7)^24x-2x^22(x-7))/((x-7)^4)	$\frac{{(x - 7)}^{2} \cdot 4 x - 2 x^{2} \cdot 2 (x - 7)}{{(x - 7)}^{4}}$
43782	Evaluate	(2x)/3-(x+1)/4<=-2	$\frac{2 x}{3} - \frac{x + 1}{4} \leq - 2$
43783	Solve for x	16=64^x	$16 = 64^{x}$
43784	Simplify	(2xy^-1z^0)/(-4x^3y^2)	$\frac{2 x y^{- 1} z^{0}}{- 4 x^{3} y^{2}}$
43785	Evaluate the Limit	limit as x approaches infinity of (x^2)/(x^3)	$lim_{x \to \infty} \frac{x^{2}}{x^{3}}$
43786	Find the Asymptotes	y=(4x^2-16)/(x-2)	$y = \frac{4 x^{2} - 16}{x - 2}$
43787	Simplify	(10b^2+70b)/(8b-24)*(8b-24)/(10b^2+40b)	$\frac{10 b^{2} + 70 b}{8 b - 24} \cdot \frac{8 b - 24}{10 b^{2} + 40 b}$
43788	Simplify	3/4+5-1/2	$\frac{3}{4} + 5 - \frac{1}{2}$
43789	Solve the Absolute Value Inequality for x	4\|2x+3\|+8=20	$4 \| 2 x + 3 \| + 8 = 20$
43790	Solve for x	4/5*x+x=36	$\frac{4}{5} \cdot x + x = 36$
43791	Find the Reference Angle	315deg	$315$ degrees
43792	Simplify	(x^2-2)^2+2(x^2-2)-8	${(x^{2} - 2)}^{2} + 2 (x^{2} - 2) - 8$
43793	Solve for x	(4x)/(x+2)=x	$\frac{4 x}{x + 2} = x$
43794	Write in Standard Form	4(1+4x)=x(x-7)	$4 (1 + 4 x) = x (x - 7)$
43795	Graph	(m-3)/2<=5	$\frac{m - 3}{2} \leq 5$
43796	Solve the Inequality for x	x^3>x^2	$x^{3} > x^{2}$
43797	Simplify	f(5+h)-f(5)	$f (5 + h) - f (5)$
43798	Solve for x	6 4/5=5/6x-3 1/2	$6 \frac{4}{5} = \frac{5}{6} x - 3 \frac{1}{2}$
43799	Find the GCF	x^5y^4-y^4	$x^{5} y^{4} - y^{4}$
43800	Graph	f(x)=(1-3x)/(1-x)	$f (x) = \frac{1 - 3 x}{1 - x}$