Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
202501	Write in Standard Form	y=-x(x+3)(x-3)	$y = - x (x + 3) (x - 3)$
202502	Solve for x	5(2x-1)-3x=5x+9	$5 (2 x - 1) - 3 x = 5 x + 9$
202503	Simplify	(4p^7)/(2p^3*p^2)	$\frac{4 p^{7}}{2 p^{3} \cdot p^{2}}$
202504	Solve the Inequality for x	1<\|x+2\|<3	$1 < \| x + 2 \| < 3$
202505	Find the Exact Value	2cos((5pi)/3)-sin((5pi)/2)	$2 \cos (\frac{5 π}{3}) - \sin (\frac{5 π}{2})$
202506	Find the Inverse	y=(3-x)/(x+2)	$y = \frac{3 - x}{x + 2}$
202507	Simplify	((4r^3)/(2r^5))	$(\frac{4 r^{3}}{2 r^{5}})$
202508	Simplify	square root of a^3+2a^2+a	$\sqrt{a^{3} + 2 a^{2} + a}$
202509	Solve for x	(1/2)^x=2^(x+3)	${(\frac{1}{2})}^{x} = 2^{x + 3}$
202510	Simplify	4/(x-2)+11/(2(x-2))	$\frac{4}{x - 2} + \frac{11}{2 (x - 2)}$
202511	Simplify	3 square root of 4x- square root of 9x+5 square root of 27- square root of x	$3 \sqrt{4 x} - \sqrt{9 x} + 5 \sqrt{27} - \sqrt{x}$
202512	Solve for y	square root of y=3 square root of 5	$\sqrt{y} = 3 \sqrt{5}$
202513	Simplify	cube root of (108x^9y^10)/(2xy^3)	$\sqrt[3]{\frac{108 x^{9} y^{10}}{2 x y^{3}}}$
202514	Find the Degree	3x^3y^2z+6x^2y	$3 x^{3} y^{2} z + 6 x^{2} y$
202515	Factor	(x^2-x-6)(x^2+6x+9)	$(x^{2} - x - 6) (x^{2} + 6 x + 9)$
202516	Evaluate	\|((-1/2)^3)÷((1/4)^2)\|	$\| {(- \frac{1}{2})}^{3} \div {(\frac{1}{4})}^{2} \|$
202517	Solve for y	(y+4)/(3y-8)=1	$\frac{y + 4}{3 y - 8} = 1$
202518	Simplify	(8b^2-8a^2)/(a^2-2ab+b^2)	$\frac{8 b^{2} - 8 a^{2}}{a^{2} - 2 a b + b^{2}}$
202519	Simplify	(4+ square root of 27)/(2-3 square root of 27)	$\frac{4 + \sqrt{27}}{2 - 3 \sqrt{27}}$
202520	Simplify	(z^4-3z^3+2z^2-4z+4)(z-1)^-1	$(z^{4} - 3 z^{3} + 2 z^{2} - 4 z + 4) {(z - 1)}^{- 1}$
202521	Solve for x	square root of 3x^2+10x-5=0	$\sqrt{3 x^{2} + 10 x} - 5 = 0$
202522	Simplify	square root of 1+16+64	$\sqrt{1 + 16 + 64}$
202523	Simplify	12y*(2/3xy^4)	$12 y \cdot (\frac{2}{3} x y^{4})$
202524	Graph	f(x)=-x/5-2	$f (x) = - \frac{x}{5} - 2$
202525	Simplify	-1/2k^3+3/4k^5	$- \frac{1}{2} k^{3} + \frac{3}{4} k^{5}$
202526	Solve for x	7/8x+1=2-1/4x	$\frac{7}{8} x + 1 = 2 - \frac{1}{4} x$
202527	Divide	( seventh root of 14x^6)/( seventh root of 2x^5)	$\frac{\sqrt[7]{14 x^{6}}}{\sqrt[7]{2 x^{5}}}$
202528	Simplify	(6 square root of 20)/( square root of 18)	$\frac{6 \sqrt{20}}{\sqrt{18}}$
202529	Simplify	( square root of 20x^7y^10)/( square root of y^2)	$\frac{\sqrt{20 x^{7} y^{10}}}{\sqrt{y^{2}}}$
202530	Solve the Rational Equation for x	cube root of 3x=6	$\sqrt[3]{3 x} = 6$
202531	Solve for k	-9k-5=-10k	$- 9 k - 5 = - 10 k$
202532	Find the Roots (Zeros)	3x^5-7x^4-5x^3+18x^2-5	$3 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 5$
202533	Find the Product	-3a*(7a^2-4)	$- 3 a \cdot (7 a^{2} - 4)$
202534	Solve for x	square root of x = square root of x-8+2	$\sqrt{x} = \sqrt{x - 8} + 2$
202535	Simplify	((y^(2/3))/(y^(1/2)))^2	${(\frac{y^{\frac{2}{3}}}{y^{\frac{1}{2}}})}^{2}$
202536	Solve the Inequality for x	(2x)/(x-2)<5	$\frac{2 x}{x - 2} < 5$
202537	Solve for w	w+16/w=10	$w + \frac{16}{w} = 10$
202538	Evaluate the Function	y=3^x for x=2	$y = 3^{x}$ for $x = 2$
202539	Solve for x	(2x+3)^(4/3)-3=13	${(2 x + 3)}^{\frac{4}{3}} - 3 = 13$
202540	Graph	2x+3y<6 4x+6y>24	$2 x + 3 y < 6$ $4 x + 6 y > 24$
202541	Simplify	((x+3)/(x-3))/((x^2-9)/(3x-9))	$\frac{\frac{x + 3}{x - 3}}{\frac{x^{2} - 9}{3 x - 9}}$
202542	Simplify	((a^(1/12)b^-3)^3)^-2	${({(a^{\frac{1}{12}} b^{- 3})}^{3})}^{- 2}$
202543	Simplify	(x^3-8x^4-5)-(3x^4-6x-3)	$(x^{3} - 8 x^{4} - 5) - (3 x^{4} - 6 x - 3)$
202544	Simplify	(a^2-25)/(a+3)*1/(a^2+5a)-(a+5)/(a^2-3a)	$\frac{a^{2} - 25}{a + 3} \cdot \frac{1}{a^{2} + 5 a} - \frac{a + 5}{a^{2} - 3 a}$
202545	Divide	0 , 3841÷23	$0$ , $3841 \div 23$
202546	Find the Focus	x^2=8y-8	$x^{2} = 8 y - 8$
202547	Simplify	3/x+3/(2x)+1/2	$\frac{3}{x} + \frac{3}{2 x} + \frac{1}{2}$
202548	Solve for x	x^2(1/x)+x(1- natural log of x)-x- natural log of x = natural log of x	$x^{2} (\frac{1}{x}) + x (1 - \ln (x)) - x - \ln (x) = \ln (x)$
202549	Solve by Graphing	y=3/2x+3 y=1/4x-2	$y = \frac{3}{2} x + 3$ $y = \frac{1}{4} x - 2$
202550	Solve the Inequality for y	y-12<-5	$y - 12 < - 5$
202551	Solve for c	-0.1(90c+5)=2.5(-1.4-3c)	$- 0.1 (90 c + 5) = 2.5 (- 1.4 - 3 c)$
202552	Simplify	2x+2x+2x+2x	$2 x + 2 x + 2 x + 2 x$
202553	Simplify	((a^2)/(a+n)-(a^3)/(a^2+n^2+2an))÷(a/(a+n)-(a^2)/(a^2-n^2))	$(\frac{a^{2}}{a + n} - \frac{a^{3}}{a^{2} + n^{2} + 2 a n}) \div (\frac{a}{a + n} - \frac{a^{2}}{a^{2} - n^{2}})$
202554	Simplify	((5x^0)/y)^-1	${(\frac{5 x^{0}}{y})}^{- 1}$
202555	Simplify	square root of a/b+a/b square root of b/a	$\sqrt{\frac{a}{b}} + \frac{a}{b} \sqrt{\frac{b}{a}}$
202556	Find the Distance Between Two Points	(2,-3) and (10,-3)	$(2, - 3)$ and $(10, - 3)$
202557	Simplify	sin(x)^2+sin(x)^2*tan(x)^2	$\sin^{2} (x) + \sin^{2} (x) \cdot \tan^{2} (x)$
202558	Simplify	(3x^2+2x+1)+(2x^2-4x-5)+(3x-1)	$(3 x^{2} + 2 x + 1) + (2 x^{2} - 4 x - 5) + (3 x - 1)$
202559	Find the Degree, Leading Term, and Leading Coefficient	-5x^5+1/8-x^4	$- 5 x^{5} + \frac{1}{8} - x^{4}$
202560	Divide	square root of (a^2+b^2)/4	$\sqrt{\frac{a^{2} + b^{2}}{4}}$
202561	Simplify the Radical Expression	x square root of y+ square root of x^2y+2x square root of y	$x \sqrt{y} + \sqrt{x^{2} y} + 2 x \sqrt{y}$
202562	Solve for z	-z-6-7z=9(-z-2)+6	$- z - 6 - 7 z = 9 (- z - 2) + 6$
202563	Find the End Behavior	f(x)=8x^6-64x^5-640x^2-512+1024x+160x^4	$f (x) = 8 x^{6} - 64 x^{5} - 640 x^{2} - 512 + 1024 x + 160 x^{4}$
202564	Solve for y	-3/7y^2+2 1/3=0	$- \frac{3}{7} y^{2} + 2 \frac{1}{3} = 0$
202565	Simplify	24 root of 1/(n^7*n^2)	$\sqrt[24]{\frac{1}{n^{7} \cdot n^{2}}}$
202566	Solve for x	x-4=1/3(6x-54)	$x - 4 = \frac{1}{3} (6 x - 54)$
202567	Evaluate	( cube root of -1/8)^3+3 3/4	${(\sqrt[3]{- \frac{1}{8}})}^{3} + 3 \frac{3}{4}$
202568	Graph	-y>=x+4 -3x+3y<=-9	$- y \geq x + 4$ $- 3 x + 3 y \leq - 9$
202569	Find the x and y Intercepts	y = log of 7x+3-2	$y = \log (7 x + 3) - 2$
202570	Simplify the Radical Expression	(8a^-3)^(-2/3)	${(8 a^{- 3})}^{- \frac{2}{3}}$
202571	Solve for x	5/8(4x-12)+1/2x-3 1/2=3(x+3)	$\frac{5}{8} (4 x - 12) + \frac{1}{2} x - 3 \frac{1}{2} = 3 (x + 3)$
202572	Convert to Rectangular	2(cos((5pi)/3)+isin((5pi)/3))*4(cos(pi/6)+isin(pi/6))	$2 (\cos (\frac{5 π}{3}) + i \sin (\frac{5 π}{3})) \cdot 4 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
202573	Simplify	((2x^2yz^3)^2)/10	$\frac{{(2 x^{2} y z^{3})}^{2}}{10}$
202574	Find the Degree, Leading Term, and Leading Coefficient	f(x)=4x^2+4x^3	$f (x) = 4 x^{2} + 4 x^{3}$
202575	Simplify	(25/(14y^3))÷(5/(28y^2))	$\frac{25}{14 y^{3}} \div \frac{5}{28 y^{2}}$
202576	Simplify	(3y-12)/28*(14y+7)/(6y-24)	$\frac{3 y - 12}{28} \cdot \frac{14 y + 7}{6 y - 24}$
202577	Simplify	square root of (54x^6y^2)/(6y^4)	$\sqrt{\frac{54 x^{6} y^{2}}{6 y^{4}}}$
202578	Solve for n	(3+4n)/n=7b	$\frac{3 + 4 n}{n} = 7 b$
202579	Subtract	15-2/12	$15 - \frac{2}{12}$
202580	Solve for b	A=((B+b)h)/2	$A = \frac{(B + b) h}{2}$
202581	Solve for n	1.94+5(1.92n+1.84)=0.3(22n-6.2)-2	$1.94 + 5 (1.92 n + 1.84) = 0.3 (22 n - 6.2) - 2$
202582	Simplify	16*4^-2	$16 \cdot 4^{- 2}$
202583	Write in Exponential Form	( square root of xy)^3	${(\sqrt{x y})}^{3}$
202584	Solve for n	-12=-6(-8n+6)+8(-4+n)	$- 12 = - 6 (- 8 n + 6) + 8 (- 4 + n)$
202585	Solve for x	5/(x^2-3x+2)-1/(x-2)=(x+6)/(3x-3)	$\frac{5}{x^{2} - 3 x + 2} - \frac{1}{x - 2} = \frac{x + 6}{3 x - 3}$
202586	Simplify	square root of (pi- square root of 17)^2	$\sqrt{{(π - \sqrt{17})}^{2}}$
202587	Solve the Inequality for x	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
202588	Solve for a	(1+ square root of 3i)^2=a+ib	${(1 + \sqrt{3} i)}^{2} = a + i b$
202589	Solve by Graphing	y=-x y=2/5x-7	$y = - x$ $y = \frac{2}{5} x - 7$
202590	Factor	-60+60n^2+50n^3	$- 60 + 60 n^{2} + 50 n^{3}$
202591	Solve for c	y=ca^x	$y = c a^{x}$
202592	Simplify	3/4ab-5/12ab	$\frac{3}{4} a b - \frac{5}{12} a b$
202593	Solve for x	4 square root of x+1=x+1	$4 \sqrt{x + 1} = x + 1$
202594	Solve the System of Inequalities	x<=-3 or x>4	$x \leq - 3$ or $x > 4$
202595	Simplify the Radical Expression	cube root of -64/(x^6)	$\sqrt[3]{\frac{- 64}{x^{6}}}$
202596	Simplify	(90x+2x^2-4x^3)/(3x^2-5x-50)	$\frac{90 x + 2 x^{2} - 4 x^{3}}{3 x^{2} - 5 x - 50}$
202597	Solve by Addition/Elimination	-2x-y=12 y=-26-9x	$- 2 x - y = 12$ $y = - 26 - 9 x$
202598	Solve by Isolating the Absolute Value for a	(a+b/c)(d-e)=f	$(a + \frac{b}{c}) (d - e) = f$
202599	Simplify	(8x^6)/(9x^2)*(3x^3)/(12x)	$\frac{8 x^{6}}{9 x^{2}} \cdot \frac{3 x^{3}}{12 x}$
202600	Simplify	square root of (2x)^2 square root of 2y	$\sqrt{{(2 x)}^{2} \sqrt{2 y}}$