Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10501	Solve for x	d(x+a)=c(x+b)	$d (x + a) = c (x + b)$
10502	Graph	y=7/6x+2 y=-5	$y = \frac{7}{6} x + 2$ $y = - 5$
10503	Simplify	(6n^2+8n+2)/(2n^2-2)	$\frac{6 n^{2} + 8 n + 2}{2 n^{2} - 2}$
10504	Find the Holes in the Graph	(x^2-5x)/(-2x^2)	$\frac{x^{2} - 5 x}{- 2 x^{2}}$
10505	Write in Exponential Form	fourth root of cube root of x	$\sqrt[4]{\sqrt[3]{x}}$
10506	Find the Square Roots of a Complex Number	-4-4i	$- 4 - 4 i$
10507	Simplify	(5x)/(x+2)-(4x+3)/(3x+6)	$\frac{5 x}{x + 2} - \frac{4 x + 3}{3 x + 6}$
10508	Solve for y	4/(9y^2-1)-4/(3y+1)=5/(1-3y)	$\frac{4}{9 y^{2} - 1} - \frac{4}{3 y + 1} = \frac{5}{1 - 3 y}$
10509	Solve the Rational Equation for x	square root of 3x-5-3 square root of x=0	$\sqrt{3 x - 5} - 3 \sqrt{x} = 0$
10510	Simplify	i^18i^28i^9*i^29	$i^{18} \cdot i^{28} \cdot i^{9} \cdot i^{29}$
10511	Solve the Inequality for x	2x-8>4x	$2 x - 8 > 4 x$
10512	Write in Slope-Intercept Form	x+y<2	$x + y < 2$
10513	Graph	x+2y>=4 3x-2y<4	$x + 2 y \geq 4$ $3 x - 2 y < 4$
10514	Multiply	(3/162/5)/(7/43/2)	$\frac{\frac{3}{16} \cdot \frac{2}{5}}{\frac{7}{4} \cdot \frac{3}{2}}$
10515	Find the x and y Intercepts	Find the value of x	Find the value of $x$
10516	Solve the Inequality for a	2(7a-1)-11a>=3(a-4)	$2 (7 a - 1) - 11 a \geq 3 (a - 4)$
10517	Simplify the Radical Expression	fourth root of 9x^2	$\sqrt[4]{9 x^{2}}$
10518	Solve for u	2.5-0.5u=0.5u-1+0.75u	$2.5 - 0.5 u = 0.5 u - 1 + 0.75 u$
10519	Divide	( square root of 48x^3)/( square root of 3xy^2)	$\frac{\sqrt{48 x^{3}}}{\sqrt{3 x y^{2}}}$
10520	Simplify	square root of z^9* square root of z^10	$\sqrt{z^{9}} \cdot \sqrt{z^{10}}$
10521	Write the Fraction in Simplest Form	((-3c^-1)^4)/(-12c^7)	$\frac{{(- 3 c^{- 1})}^{4}}{- 12 c^{7}}$
10522	Evaluate	(2a^3b)^5	${(2 a^{3} b)}^{5}$
10523	Simplify	3(m-4)-n(m-4)	$3 (m - 4) - n (m - 4)$
10524	Write in Standard Form	(-2x^2-8x+3)+(-9x^2+x+3)	$(- 2 x^{2} - 8 x + 3) + (- 9 x^{2} + x + 3)$
10525	Simplify	1/3(12x+6x-21)	$\frac{1}{3} (12 x + 6 x - 21)$
10526	Find the Antiderivative	e^x(2+(e^(-x))/(cos(x)^2))	$e^{x} (2 + \frac{e^{- x}}{\cos^{2} (x)})$
10527	Simplify	20 root of (z^8)/(z^-7)	$\sqrt[20]{\frac{z^{8}}{z^{- 7}}}$
10528	Simplify the Radical Expression	square root of 5^3	$\sqrt{5^{3}}$
10529	Graph	3/(2x)+1/x<=1/2	$\frac{3}{2 x} + \frac{1}{x} \leq \frac{1}{2}$
10530	Solve the Inequality for a	(a+b/c)(d-e)=f	$(a + \frac{b}{c}) (d - e) = f$
10531	Solve for x	log base 2 of x^2 = log base 2 of 4x-4	$\log_{2} (x^{2}) = \log_{2} (4 x - 4)$
10532	Simplify the Radical Expression	square root of 8+ square root of 18+ square root of 50- square root of 32	$\sqrt{8} + \sqrt{18} + \sqrt{50} - \sqrt{32}$
10533	Find the GCF	42p^6q^3-70p^5qr^2	$42 p^{6} q^{3} - 70 p^{5} q r^{2}$
10534	Find the Length of b	tri{}{30}{}{60}{3}{90}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = \\ a = & 3 \end{matrix} & \begin{matrix} A = & 30 \\ B = & 60 \\ C = & 90 \end{matrix} \end{matrix}$
10535	Find the Antiderivative	f(x)=4e^x+x^3	$f (x) = 4 e^{x} + x^{3}$
10536	Find the Antiderivative	f(x)=x^8+3x^7-5x+2	$f (x) = x^{8} + 3 x^{7} - 5 x + 2$
10537	Simplify	8x^2+1/(x^2)	$8 x^{2} + \frac{1}{x^{2}}$
10538	Simplify	fourth root of 16x^2* square root of 100x^12	$\sqrt[4]{16 x^{2}} \cdot \sqrt{100 x^{12}}$
10539	Solve for q	(x-p)^2=q	${(x - p)}^{2} = q$
10540	Simplify	(5/3-5/3i)^2	${(\frac{5}{3} - \frac{5}{3} i)}^{2}$
10541	Solve the System of Equations	y=x^2-9 -2x+y=15	$y = x^{2} - 9$ $- 2 x + y = 15$
10542	Evaluate	(sin(pi/3))/(cos(pi/3))	$\frac{\sin (\frac{π}{3})}{\cos (\frac{π}{3})}$
10543	Graph	y>x-4 2x+y<=2	$y > x - 4$ $2 x + y \leq 2$
10544	Divide	(x^4-5x^2-8x-12)÷(x-3)	$(x^{4} - 5 x^{2} - 8 x - 12) \div (x - 3)$
10545	Determine if a Polynomial	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
10546	Evaluate	(-xy)^2*8x^-7y^-2	${(- x y)}^{2} \cdot 8 x^{- 7} y^{- 2}$
10547	Simplify	(25m^7n^2p^3)/(5m^5n^8p)	$\frac{25 m^{7} n^{2} p^{3}}{5 m^{5} n^{8} p}$
10548	Factor by Grouping	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
10549	Find the Length of b	tri{}{}{13}{}{5}{}	 $\begin{matrix} Side & Angle \\ \begin{matrix} b = \\ c = & 13 \\ a = & 5 \end{matrix} & \begin{matrix} A = \\ B = \\ C = \end{matrix} \end{matrix}$
10550	Simplify	(x^2+17x)-(3x^2+5x)	$(x^{2} + 17 x) - (3 x^{2} + 5 x)$
10551	Evaluate	((x^3y^2)/(4z))^-2	${(\frac{x^{3} y^{2}}{4 z})}^{- 2}$
10552	Simplify	-2x(5-3x)+10x^2-7x	$- 2 x (5 - 3 x) + 10 x^{2} - 7 x$
10553	Simplify	(-7x^3y^4)^2(x^2y^5)	${(- 7 x^{3} y^{4})}^{2} (x^{2} y^{5})$
10554	Solve for x	9(2x-6)-(x+3)=4x-18	$9 (2 x - 6) - (x + 3) = 4 x - 18$
10555	Evaluate	1/3xy+2/5xy-2xz+3/2xy+4/9xz	$\frac{1}{3} x y + \frac{2}{5} x y - 2 x z + \frac{3}{2} x y + \frac{4}{9} x z$
10556	Simplify	5/(y+10)+(4y)/(y^2+12y+20)	$\frac{5}{y + 10} + \frac{4 y}{y^{2} + 12 y + 20}$
10557	Subtract	(-9x^2y^2+5x^2y-11xy+1)-(5x^2y^2-15xy-11)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) - (5 x^{2} y^{2} - 15 x y - 11)$
10558	Simplify	1/(2x+6)+(x+1)/(x^2+4x+3)	$\frac{1}{2 x + 6} + \frac{x + 1}{x^{2} + 4 x + 3}$
10559	Evaluate the Integral	integral of x(x^2+3/(x^4)) with respect to x	$\int x (x^{2} + \frac{3}{x^{4}}) d x$
10560	Simplify the Radical Expression	square root of fourth root of 8^10	$\sqrt{\sqrt[4]{8^{10}}}$
10561	Simplify	(2+ square root of 3)(6- square root of 2)	$(2 + \sqrt{3}) (6 - \sqrt{2})$
10562	Simplify	(4i)/(6+2i)	$\frac{4 i}{6 + 2 i}$
10563	Solve for y	(y-3)^2-5(y-3)=-4	${(y - 3)}^{2} - 5 (y - 3) = - 4$
10564	Simplify	( square root of -36)/(- square root of 36)	$\frac{\sqrt{- 36}}{- \sqrt{36}}$
10565	Solve for n	log base 3 of 4n-17=5	$\log_{3} (4 n - 17) = 5$
10566	Simplify	(3.210^-2)/(810^3)	$\frac{3.2 \cdot 10^{- 2}}{8 \cdot 10^{3}}$
10567	Evaluate	4 square root of x=6	$4 \sqrt{x} = 6$
10568	Simplify	((x^2-x-12)/(4x+12))÷((x^2-6x+8)/6)	$\frac{x^{2} - x - 12}{4 x + 12} \div \frac{x^{2} - 6 x + 8}{6}$
10569	Simplify	1/2 square root of 50	$\frac{1}{2} \sqrt{50}$
10570	Find the Maximum/Minimum Value	f(x)=x^2e^(-x^2)	$f (x) = x^{2} e^{- x^{2}}$
10571	Simplify/Condense	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
10572	Find the Inflection Points	f(x)=-1/15x^6+x^5-4x^4	$f (x) = - \frac{1}{15} x^{6} + x^{5} - 4 x^{4}$
10573	Integrate By Parts	integral of x natural log of 1+x with respect to x	$\int x \ln (1 + x) d x$
10574	Simplify the Radical Expression	1/( cube root of x^4)	$\frac{1}{\sqrt[3]{x^{4}}}$
10575	Find the Domain and Range	f(x)=2/(x(x-5))	$f (x) = \frac{2}{x (x - 5)}$
10576	Simplify	3/2u^2v^4-2 1/2u^3v^5+1/2u^4v^2	$\frac{3}{2} u^{2} v^{4} - 2 \frac{1}{2} u^{3} v^{5} + \frac{1}{2} u^{4} v^{2}$
10577	Simplify	-8i^88-8i^116-12i^111+8i^14	$- 8 i^{88} - 8 i^{116} - 12 i^{111} + 8 i^{14}$
10578	Find All Complex Solutions	(3x)/2+1/6=(2x)/3-2/3	$\frac{3 x}{2} + \frac{1}{6} = \frac{2 x}{3} - \frac{2}{3}$
10579	Graph	y<2/3x y<-3/2x+3	$y < \frac{2}{3} x$ $y < - \frac{3}{2} x + 3$
10580	Evaluate	3(x+4)-(2x+7)	$3 (x + 4) - (2 x + 7)$
10581	Simplify the Radical Expression	square root of 11x square root of 2x	$\sqrt{11 x} \sqrt{2 x}$
10582	Evaluate	125^(7x-2)=150	$125^{7 x - 2} = 150$
10583	Simplify	( square root of 80x^5)/( square root of x^3)	$\frac{\sqrt{80 x^{5}}}{\sqrt{x^{3}}}$
10584	Simplify the Radical Expression	1/( square root of 25)	$\frac{1}{\sqrt{25}}$
10585	Convert to a Decimal	-6pirad	$- 6 π$ radians
10586	Evaluate	(1/5)^x=125	${(\frac{1}{5})}^{x} = 125$
10587	Convert to Interval Notation	x-4<2 or 4x-1>4	$x - 4 < 2$ or $4 x - 1 > 4$
10588	Solve for x	6+5/x=7 1/4	$6 + \frac{5}{x} = 7 \frac{1}{4}$
10589	Find the Maximum/Minimum Value	y=xe^(-x)	$y = x e^{- x}$
10590	Graph	\|3/4x-3\|-8>=-5	$\| \frac{3}{4} x - 3 \| - 8 \geq - 5$
10591	Solve the Inequality for x	\|x\|-1>0	$\| x \| - 1 > 0$
10592	Convert from Radians to Degrees	(2pi)/3rad	$\frac{2 π}{3}$ radians
10593	Solve for x	(6x-5)/7=(2x-1)/3+2	$\frac{6 x - 5}{7} = \frac{2 x - 1}{3} + 2$
10594	Find the Antiderivative	3^(2x+1)	$3^{2 x + 1}$
10595	Factor	tan(x)^2+2tan(x)+1	$\tan^{2} (x) + 2 \tan (x) + 1$
10596	Simplify	cube root of 27x^12* square root of 64x^6	$\sqrt[3]{27 x^{12}} \cdot \sqrt{64 x^{6}}$
10597	Simplify	(2+4i)+i(2+i)	$(2 + 4 i) + i (2 + i)$
10598	Evaluate the Limit	limit as x approaches 4 of (x^2+7x+y)/(x^2-6x+8)=15/2	$lim_{x \to 4} \frac{x^{2} + 7 x + y}{x^{2} - 6 x + 8} = \frac{15}{2}$
10599	Graph	h(x)=-(44x^2)/(v^2)+x+6	$h (x) = - \frac{44 x^{2}}{v^{2}} + x + 6$
10600	Simplify the Radical Expression	-2 square root of 45-3 square root of 20-2 square root of 6	$- 2 \sqrt{45} - 3 \sqrt{20} - 2 \sqrt{6}$