Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10601	Simplify	Subtract -7x+6 from -2x^2+9x-2	Subtract $- 7 x + 6$ from $- 2 x^{2} + 9 x - 2$
10602	Convert to Radical Form	1/((2x-1)^(-1/2))	$\frac{1}{{(2 x - 1)}^{- \frac{1}{2}}}$
10603	Solve for x	5/(x+1)-x/(1-x)=(2x)/(x^2-1)	$\frac{5}{x + 1} - \frac{x}{1 - x} = \frac{2 x}{x^{2} - 1}$
10604	Find the Maximum/Minimum Value	f(x)=6x^4+3x^2	$f (x) = 6 x^{4} + 3 x^{2}$
10605	Solve for x	8x^2-1=-9	$8 x^{2} - 1 = - 9$
10606	Determine if Odd, Even, or Neither	F(x)=7x^4-x^6	$F (x) = 7 x^{4} - x^{6}$
10607	Describe the Transformation	F(x)=2/3\|x-4\|	$F (x) = \frac{2}{3} \| x - 4 \|$
10608	Find All Complex Solutions	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$
10609	Simplify	(-3x)^2(-xy)^2	${(- 3 x)}^{2} {(- x y)}^{2}$
10610	Factor	9x^2y+12y-9x^2-12	$9 x^{2} y + 12 y - 9 x^{2} - 12$
10611	Simplify	cos(x)^2-cos(x)^2sin(x)^2	$\cos^{2} (x) - \cos^{2} (x) \sin^{2} (x)$
10612	Write in Standard Form	y+2=-5x	$y + 2 = - 5 x$
10613	Solve for y	3y=4y-4x	$3 y = 4 y - 4 x$
10614	Evaluate the Limit	limit as x approaches infinity of ((2x+1)^40(4x-1)^5)/((2x+3)^45)	$lim_{x \to \infty} \frac{{(2 x + 1)}^{40} {(4 x - 1)}^{5}}{{(2 x + 3)}^{45}}$
10615	Solve the System of Equations	y=-3/2x-11/2 6x+y=-4	$y = - \frac{3}{2} x - \frac{11}{2}$ $6 x + y = - 4$
10616	Find the Degree, Leading Term, and Leading Coefficient	1+1/4x^3	$1 + \frac{1}{4} x^{3}$
10617	Solve the System of Equations	(x+4)^2+y^2=64 -x+y=-4	${(x + 4)}^{2} + y^{2} = 64$ $- x + y = - 4$
10618	Simplify	Simplify square root of 72	Simplify $\sqrt{72}$
10619	Find the Holes in the Graph	y=(5-x)/(x^2-1)	$y = \frac{5 - x}{x^{2} - 1}$
10620	Find the Product	(-p+q)(-1-q)	$(- p + q) (- 1 - q)$
10621	Graph	Graph x+3y=6	Graph $x + 3 y = 6$
10622	Find the Other Trig Values in Quadrant II	sin(theta)=0.6	$\sin (θ) = 0.6$
10623	Find the Product	(x^3)(x^-17)	$(x^{3}) (x^{- 17})$
10624	Find the Antiderivative	4 cube root of x-6 square root of x	$4 \sqrt[3]{x} - 6 \sqrt{x}$
10625	Simplify	(4x^3y^2*3x^6y^3)/(24x^11y^2)	$\frac{4 x^{3} y^{2} \cdot 3 x^{6} y^{3}}{24 x^{11} y^{2}}$
10626	Solve the Inequality for p	15+p<=44	$15 + p \leq 44$
10627	Divide	6a^3-12a^2-(3a)÷3a	$6 a^{3} - 12 a^{2} - 3 a \div 3 a$
10628	Solve for x in Radians	cos(x)^3=cos(x)	$\cos^{3} (x) = \cos (x)$
10629	Find the Slope	(-6,2) and (-5,-2)	$(- 6, 2)$ and $(- 5, - 2)$
10630	Solve for x	-1/5x^2+4=-1	$- \frac{1}{5} x^{2} + 4 = - 1$
10631	Simplify	(4x)/(3x-4)-8/(3x^2-4x)+2/x	$\frac{4 x}{3 x - 4} - \frac{8}{3 x^{2} - 4 x} + \frac{2}{x}$
10632	Simplify	(4^-5)/(4^7)*4^-7	$\frac{4^{- 5}}{4^{7}} \cdot 4^{- 7}$
10633	Simplify	cube root of s^2t^4* cube root of s^4t^6	$\sqrt[3]{s^{2} t^{4}} \cdot \sqrt[3]{s^{4} t^{6}}$
10634	Solve for x	(3x-3)/x+7/(6x)=7/6	$\frac{3 x - 3}{x} + \frac{7}{6 x} = \frac{7}{6}$
10635	Simplify	( square root of 4/5)^2	${(\sqrt{\frac{4}{5}})}^{2}$
10636	Find All Complex Solutions	3^(2x-1)-4*3^x+9=0	$3^{2 x - 1} - 4 \cdot 3^{x} + 9 = 0$
10637	Subtract	9/(x-3)-3/x	$\frac{9}{x - 3} - \frac{3}{x}$
10638	Solve the Rational Equation for n	cube root of n-9=3	$\sqrt[3]{n - 9} = 3$
10639	Simplify the Radical Expression	4 cube root of 81-2 cube root of 72- cube root of 24	$4 \sqrt[3]{81} - 2 \sqrt[3]{72} - \sqrt[3]{24}$
10640	Find the Degree, Leading Term, and Leading Coefficient	1/10x^3+1	$\frac{1}{10} x^{3} + 1$
10641	Solve for x	square root of x+5 = square root of 8x+28	$\sqrt{x} + 5 = \sqrt{8 x + 28}$
10642	Simplify the Radical Expression	(n^4)3/2	$(n^{4}) \frac{3}{2}$
10643	Solve for x	(4-x)/2+3x=1/2	$\frac{4 - x}{2} + 3 x = \frac{1}{2}$
10644	Solve for y	x^2+4y=2(3x-6-x)+x^2	$x^{2} + 4 y = 2 (3 x - 6 - x) + x^{2}$
10645	Solve for x	x/(x+3)-7/(x-3)=3/(x^2-9)	$\frac{x}{x + 3} - \frac{7}{x - 3} = \frac{3}{x^{2} - 9}$
10646	Evaluate	2(2+4i)(-3+i)	$2 (2 + 4 i) (- 3 + i)$
10647	Find the Domain and Range	y=6(2)^(x-4)-1	$y = 6 {(2)}^{x - 4} - 1$
10648	Simplify	4j(-j^-2k^2)(3j^3k^-7)	$4 j (- j^{- 2} k^{2}) (3 j^{3} k^{- 7})$
10649	Simplify	2(4(x-2)-8x)	$2 (4 (x - 2) - 8 x)$
10650	Simplify	(4(x+3))/8	$\frac{4 (x + 3)}{8}$
10651	Solve the Function Operation	If f(x)=x-4 and g(x)=3x^2-x ; what is (gof)(x) ?	If $f (x) = x - 4$ and $g (x) = 3 x^{2} - x$ ; what is $((g \circ f)) (x)$ ?
10652	Simplify	x^(1/3)x^(1/2)x^(1/4)	$x^{\frac{1}{3}} \cdot x^{\frac{1}{2}} \cdot x^{\frac{1}{4}}$
10653	Find the Derivative - d/dy	2ye^x-ycos(2xy)	$2 y e^{x} - y \cos (2 x y)$
10654	Evaluate	(1 1/2)(0.31)	$(1 \frac{1}{2}) (0.31)$
10655	Evaluate	7(-6 1/8)	$7 (- 6 \frac{1}{8})$
10656	Convert from Radians to Degrees	(2pi)/360	$\frac{2 π}{360}$
10657	Solve for x	1/3+1/(3x-6)=(x^2-5x+4)/(3x-6)	$\frac{1}{3} + \frac{1}{3 x - 6} = \frac{x^{2} - 5 x + 4}{3 x - 6}$
10658	Find the Inverse	f(x)=-1/2(x-1)^3+4	$f (x) = - \frac{1}{2} {(x - 1)}^{3} + 4$
10659	Simplify	cube root of 8x^2* square root of 16x^6	$\sqrt[3]{8 x^{2}} \cdot \sqrt{16 x^{6}}$
10660	Simplify the Radical Expression	fourth root of square root of e^12f^6g^18	$\sqrt[4]{\sqrt{e^{12} f^{6} g^{18}}}$
10661	Solve for z	22z = cube root of 11	$22 z = \sqrt[3]{11}$
10662	Solve the Absolute Value Inequality for k	\|k-10\|=3	$\| k - 10 \| = 3$
10663	Simplify	-23i^6	$- 23 i^{6}$
10664	Integrate Using u-Substitution	integral of (e^u)/((1-e^u)^2) with respect to u	$\int \frac{e^{u}}{{(1 - e^{u})}^{2}} d u$
10665	Simplify the Radical Expression	square root of 3-5 square root of 3	$\sqrt{3} - 5 \sqrt{3}$
10666	Find dy/dx	4x^3=y+y^2	$4 x^{3} = y + y^{2}$
10667	Solve the Inequality for x	x^2-3x-35<=-5x	$x^{2} - 3 x - 35 \leq - 5 x$
10668	Graph	8y>-10x+24 y<=2	$8 y > - 10 x + 24$ $y \leq 2$
10669	Simplify the Radical Expression	((16c^14)/(81d^18))^(1/2)	${(\frac{16 c^{14}}{81 d^{18}})}^{\frac{1}{2}}$
10670	Find Where Increasing/Decreasing	f(x) = square root of x-3	$f (x) = \sqrt{x} - 3$
10671	Solve for x	(x^2+2)^(1/2)-(2x+5)^(1/2)=0	${(x^{2} + 2)}^{\frac{1}{2}} - {(2 x + 5)}^{\frac{1}{2}} = 0$
10672	Simplify	(3y^2)(-2y)(4y^3)	$(3 y^{2}) (- 2 y) (4 y^{3})$
10673	Write in Exponential Form	log base x of x+6=2	$\log_{x} (x + 6) = 2$
10674	Solve for y	y/2=x-9	$\frac{y}{2} = x - 9$
10675	Simplify	(4i)/(2-8i)	$\frac{4 i}{2 - 8 i}$
10676	Solve for x	1=5+ cube root of 5x-14	$1 = 5 + \sqrt[3]{5 x - 14}$
10677	Evaluate the Integral	integral of (x^4-2x^3-12x^2+9x-16)/(x+3) with respect to x	$\int \frac{x^{4} - 2 x^{3} - 12 x^{2} + 9 x - 16}{x + 3} d x$
10678	Solve for n	square root of n-1=n-7	$\sqrt{n - 1} = n - 7$
10679	Simplify	(2x^7)^4(3x^4y^9)	${(2 x^{7})}^{4} (3 x^{4} y^{9})$
10680	Simplify	((6x^-4y^3)/(2x^-1y^3))^2	${(\frac{6 x^{- 4} y^{3}}{2 x^{- 1} y^{3}})}^{2}$
10681	Simplify	fourth root of (a^4)/(b^8)	$\sqrt[4]{\frac{a^{4}}{b^{8}}}$
10682	Solve for x	1/2 cube root of x^3+x^2=x	$\frac{1}{2} \sqrt[3]{x^{3} + x^{2}} = x$
10683	Simplify	(6y^3)/(18x)*2xy	$\frac{6 y^{3}}{18 x} \cdot 2 x y$
10684	Find the Asymptotes	f(x)=-2*2^(1/3x)+3	$f (x) = - 2 \cdot 2^{\frac{1}{3} x} + 3$
10685	Write in Standard Form	(2x^4+4x-5)/4	$\frac{2 x^{4} + 4 x - 5}{4}$
10686	Graph	y=1/2x+1 y=x-1	$y = \frac{1}{2} x + 1$ $y = x - 1$
10687	Solve the Rational Equation for x	3/(x+1)+2/7=2	$\frac{3}{x + 1} + \frac{2}{7} = 2$
10688	Evaluate	500*5^(y/3)=1	$500 \cdot 5^{\frac{y}{3}} = 1$
10689	Solve the Inequality for x	(x^2-1)(x^2+x-2)>=0	$(x^{2} - 1) (x^{2} + x - 2) \geq 0$
10690	Find the First Term	a_n=((n+3)!)/(n+3)	$a_{n} = \frac{(n + 3)!}{n + 3}$
10691	Evaluate Using the Given Value	16-x at x=5	$16 - x$ at $x = 5$
10692	Find the Cosecant Given the Point	((2 square root of 2)/3,1/3)	$(\frac{2 \sqrt{2}}{3}, \frac{1}{3})$
10693	Evaluate	sin(arccos(x))	$\sin (\arccos (x))$
10694	Solve for x	(x+3)/2+4x=6	$\frac{x + 3}{2} + 4 x = 6$
10695	Find the Inflection Points	f(x)=3/10x^5+x^4+x^3	$f (x) = \frac{3}{10} x^{5} + x^{4} + x^{3}$
10696	Evaluate Using the Given Value	6+x if x=6	$6 + x$ if $x = 6$
10697	Simplify the Radical Expression	fourth root of 81(x+4)^4	$\sqrt[4]{81 {(x + 4)}^{4}}$
10698	Multiply	3xy^4z^2*5x^2yx	$3 x y^{4} z^{2} \cdot 5 x^{2} y x$
10699	Solve the Inequality for x	x^2-6x+8>35	$x^{2} - 6 x + 8 > 35$
10700	Solve for a	9^(-4a)=243^(2a+3)	$9^{- 4 a} = 243^{2 a + 3}$