Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
212501	Subtract	(5x^4-2x^2)-(3x-2x^2-4x^3+6x^4)	$(5 x^{4} - 2 x^{2}) - (3 x - 2 x^{2} - 4 x^{3} + 6 x^{4})$
212502	Simplify	( fourth root of 3^3* cube root of x^2)/( square root of 3x)	$\frac{\sqrt[4]{3^{3}} \cdot \sqrt[3]{x^{2}}}{\sqrt{3 x}}$
212503	Solve the Inequality for x	10- square root of 2x+7<=3	$10 - \sqrt{2 x + 7} \leq 3$
212504	Solve the Rational Equation for a	(a-2)/(a+3)-1=3/(a+2)	$\frac{a - 2}{a + 3} - 1 = \frac{3}{a + 2}$
212505	Solve for x	x/(x^2)=3/x	$\frac{x}{x^{2}} = \frac{3}{x}$
212506	Find the Product	(-2x^2+5)(x^3-8x-6)	$(- 2 x^{2} + 5) (x^{3} - 8 x - 6)$
212507	Simplify	-(5(x+5))/15	$- \frac{5 (x + 5)}{15}$
212508	Solve for y	3y+2=2y-5x	$3 y + 2 = 2 y - 5 x$
212509	Solve for v	5v+6=16v-3v+54	$5 v + 6 = 16 v - 3 v + 54$
212510	Solve the Inequality for x	(3\|x-1\|)/4<6	$\frac{3 \| x - 1 \|}{4} < 6$
212511	Simplify	square root of 4x^3y^3* square root of 5x^3y^5	$\sqrt{4 x^{3} y^{3}} \cdot \sqrt{5 x^{3} y^{5}}$
212512	Solve for x	4 square root of 3x-2=3x-7	$4 \sqrt{3 x - 2} = 3 x - 7$
212513	Evaluate	6(-4)(-5/6)(-3/4)	$6 (- 4) (- \frac{5}{6}) (- \frac{3}{4})$
212514	Multiply	(4+3 square root of x)(4-3 square root of x)	$(4 + 3 \sqrt{x}) (4 - 3 \sqrt{x})$
212515	Evaluate	1 7/8+1/8	$1 \frac{7}{8} + \frac{1}{8}$
212516	Solve for y	y^4-7y^2=-10	$y^{4} - 7 y^{2} = - 10$
212517	Multiply	(3x+12)/(4x-16)*(8-2x)/(x+4)	$\frac{3 x + 12}{4 x - 16} \cdot \frac{8 - 2 x}{x + 4}$
212518	Simplify	((x^2+6x+5)/(x^2+8x+15)*(x^3-3x^2-10x)/(x^2+3x+2))÷((x^2-4x-5)/(x^2+4x+3))	$\frac{x^{2} + 6 x + 5}{x^{2} + 8 x + 15} \cdot \frac{x^{3} - 3 x^{2} - 10 x}{x^{2} + 3 x + 2} \div \frac{x^{2} - 4 x - 5}{x^{2} + 4 x + 3}$
212519	Evaluate	((5pi)/6)	$(\frac{5 π}{6})$
212520	Graph	y=x+x^3	$y = x + x^{3}$
212521	Find the Complex Conjugate	1/6-5/6i	$\frac{1}{6} - \frac{5}{6} i$
212522	Solve for u	u^2=0	$u^{2} = 0$
212523	Simplify the Radical Expression	3 square root of xy- square root of 9xy	$3 \sqrt{x y} - \sqrt{9 x y}$
212524	Solve the Inequality for x	-16<x/-4+6<=-2	$- 16 < \frac{x}{- 4} + 6 \leq - 2$
212525	Find the Product	3ab(4a^2-7b^3)	$3 a b (4 a^{2} - 7 b^{3})$
212526	Solve for x	(2x+1)/3+(4-x)/6=3	$\frac{2 x + 1}{3} + \frac{4 - x}{6} = 3$
212527	Simplify	-2/(1+ square root of 6)	$\frac{- 2}{1 + \sqrt{6}}$
212528	Write Using Positive Exponents	(16x^4y^-3z^4)/(36x^-2yz^0)	$\frac{16 x^{4} y^{- 3} z^{4}}{36 x^{- 2} y z^{0}}$
212529	Find the LCM	2 and 7	$2$ and $7$
212530	Graph	Graph the line with the equation y=2x-2	Graph the line with the equation $y = 2 x - 2$
212531	Solve for x	(x+4)/x-5/(6x)=7/6	$\frac{x + 4}{x} - \frac{5}{6 x} = \frac{7}{6}$
212532	Simplify	6+1.5(5x^(3/5)y^(2/3))^0	$6 + 1.5 {(5 x^{\frac{3}{5}} y^{\frac{2}{3}})}^{0}$
212533	Solve for u	6/9=u/12	$\frac{6}{9} = \frac{u}{12}$
212534	Solve the Inequality for x	(4\|x+7\|)/3<8	$\frac{4 \| x + 7 \|}{3} < 8$
212535	Find the x and y Intercepts	(2x^2-98)/(x+4)	$\frac{2 x^{2} - 98}{x + 4}$
212536	Multiply	(4x^3)/3*(9/x)^3	$\frac{4 x^{3}}{3} \cdot {(\frac{9}{x})}^{3}$
212537	Solve for y	(8+2y)/3=x	$\frac{8 + 2 y}{3} = x$
212538	Simplify	-3x^4y^4z^0	$- 3 x^{4} y^{4} z^{0}$
212539	Solve the Inequality for g	4>=-g/8	$4 \geq - \frac{g}{8}$
212540	Solve for x	2/k-3/(x+k)=0	$\frac{2}{k} - \frac{3}{x + k} = 0$
212541	Simplify	10(3/10x-2/5)	$10 (\frac{3}{10} x - \frac{2}{5})$
212542	Simplify	( square root of z^9)/( fourth root of z^3)	$\frac{\sqrt{z^{9}}}{\sqrt[4]{z^{3}}}$
212543	Find the Exact Value	(f(-5))/(f(2))	$\frac{f (- 5)}{f (2)}$
212544	Evaluate	42/12+5*18^(-1/2)-2	$\frac{42}{12} + 5 \cdot 18^{- \frac{1}{2}} - 2$
212545	Solve for x	9/(x-1)=3+11/(x-1)	$\frac{9}{x - 1} = 3 + \frac{11}{x - 1}$
212546	Write in Standard Form	y=-2(2x+1)(x-3)+5	$y = - 2 (2 x + 1) (x - 3) + 5$
212547	Find the Inverse	y=e^(6-x)	$y = e^{6 - x}$
212548	Solve the Inequality for x	-3x^2+25x-54>-8x	$- 3 x^{2} + 25 x - 54 > - 8 x$
212549	Find the Domain and Range	xy^2-x+3y^2+1=0	$x y^{2} - x + 3 y^{2} + 1 = 0$
212550	Evaluate	(1/27)^(4-x)=9^(2x-1)	${(\frac{1}{27})}^{4 - x} = 9^{2 x - 1}$
212551	Subtract	(10a^4-a)-(a^4+2a-2)	$(10 a^{4} - a) - (a^{4} + 2 a - 2)$
212552	Solve for x	14^(3-8x)+9=77	$14^{3 - 8 x} + 9 = 77$
212553	Simplify	i*3i	$i \cdot 3 i$
212554	Simplify	(8/9xy^4)^2	${(\frac{8}{9} x y^{4})}^{2}$
212555	Simplify	( cube root of 4^5)( cube root of 5^5)	$(\sqrt[3]{4^{5}}) (\sqrt[3]{5^{5}})$
212556	Solve the Inequality for a	3a+1>(-7a-14)/-4	$3 a + 1 > \frac{- 7 a - 14}{- 4}$
212557	Write the Fraction in Simplest Form	(-4p^-5)/(-2(p^5)^5)	$\frac{- 4 p^{- 5}}{- 2 {(p^{5})}^{5}}$
212558	Find the LCM	9x^2+30x+25 and 9x^2-25	$9 x^{2} + 30 x + 25$ and $9 x^{2} - 25$
212559	Simplify	(4x^4y)^2-11x^8y^2	${(4 x^{4} y)}^{2} - 11 x^{8} y^{2}$
212560	Solve for x	\|2x-6\|-4>=6	$\| 2 x - 6 \| - 4 \geq 6$
212561	Solve the Inequality for θ	cos(theta)<0	$\cos (θ) < 0$
212562	Solve for x	2(x+3)<0	$2 (x + 3) < 0$
212563	Simplify	-3xy(4x^2y^4-2xy^3)	$- 3 x y (4 x^{2} y^{4} - 2 x y^{3})$
212564	Find the Exact Value	27(-2/3)	$27 (\frac{- 2}{3})$
212565	Identify the Zeros and Their Multiplicities	h(t)=3(t-5)^3(t-3)^3(t-2)	$h (t) = 3 {(t - 5)}^{3} {(t - 3)}^{3} (t - 2)$
212566	Simplify the Radical Expression	fourth root of (x^4)/81	$\sqrt[4]{\frac{x^{4}}{81}}$
212567	Solve for x	square root of 3+ square root of x=3	$\sqrt{3 + \sqrt{x}} = 3$
212568	Find the Domain and Range	y=5+ cube root of x-1	$y = 5 + \sqrt[3]{x - 1}$
212569	Write the Fraction in Simplest Form	5/10+8/100	$\frac{5}{10} + \frac{8}{100}$
212570	Divide Using Long Polynomial Division	(-6w^3z^4-3w^2z^5+4w+5z)÷(2w^2z)	$(- 6 w^{3} z^{4} - 3 w^{2} z^{5} + 4 w + 5 z) \div (2 w^{2} z)$
212571	Solve for x	1/3(1/2x-9)=1/2(x+18)	$\frac{1}{3} (\frac{1}{2} x - 9) = \frac{1}{2} (x + 18)$
212572	Solve for v	59.8=1/20v^2+v	$59.8 = \frac{1}{20} v^{2} + v$
212573	Find the x and y Intercepts	f(x)=-2/(3(x-5))+4	$f (x) = - \frac{2}{3 (x - 5)} + 4$
212574	Solve the Inequality for s	-3s>=33	$- 3 s \geq 33$
212575	Simplify	( square root of c^9)/( fourth root of c)	$\frac{\sqrt{c^{9}}}{\sqrt[4]{c}}$
212576	Solve for x	square root of x*(x+2)+4=2	$\sqrt{x \cdot (x + 2) + 4} = 2$
212577	Solve the Inequality for x	-x/24<-1/6	$- \frac{x}{24} < - \frac{1}{6}$
212578	Subtract	(2x^2y-5xy+3y^2)-(7xy-6y^2+5x^2y)	$(2 x^{2} y - 5 x y + 3 y^{2}) - (7 x y - 6 y^{2} + 5 x^{2} y)$
212579	Simplify	(7x^4+4-x+3x^3)+(5x^3+3x-9)	$(7 x^{4} + 4 - x + 3 x^{3}) + (5 x^{3} + 3 x - 9)$
212580	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-5x-10+3x^4+4x^2	$f (x) = - 5 x - 10 + 3 x^{4} + 4 x^{2}$
212581	Solve for n	5^2*5^4=5^n	$5^{2} \cdot 5^{4} = 5^{n}$
212582	Write the Fraction in Simplest Form	(-5d^-3)/(-4(d^-5)^3)	$\frac{- 5 d^{- 3}}{- 4 {(d^{- 5})}^{3}}$
212583	Simplify the Radical Expression	(-27x^-9)^(1/3)	${(- 27 x^{- 9})}^{\frac{1}{3}}$
212584	Factor	ax+ay+bx+by-cx-cy	$a x + a y + b x + b y - c x - c y$
212585	Solve for x	4/3=-6x-5/3	$\frac{4}{3} = - 6 x - \frac{5}{3}$
212586	Find the End Behavior	2x^4+8x^3+10x^2+40x	$2 x^{4} + 8 x^{3} + 10 x^{2} + 40 x$
212587	Solve Using the Square Root Property	5(x^2-5)+8=3	$5 (x^{2} - 5) + 8 = 3$
212588	Find All Complex Solutions	4n^2+24n+25=4n	$4 n^{2} + 24 n + 25 = 4 n$
212589	Solve for x	4/3x-1=2/3x+6	$\frac{4}{3} x - 1 = \frac{2}{3} x + 6$
212590	Solve the System of Equations	8x+3y+z=-2 3x-5y=20 12x+30y=-120	$8 x + 3 y + z = - 2$ $3 x - 5 y = 20$ $12 x + 30 y = - 120$
212591	Write in Exponential Form	( fifth root of mn)^2	${(\sqrt[5]{m n})}^{2}$
212592	Solve for x	x^(1/2)-(x-5)^(1/2)=2	$x^{\frac{1}{2}} - {(x - 5)}^{\frac{1}{2}} = 2$
212593	Solve for x	(81^(3x+2))/(243^(-x))=3^4	$\frac{81^{3 x + 2}}{243^{- x}} = 3^{4}$
212594	Evaluate	-3x+8<15	$- 3 x + 8 < 15$
212595	Simplify	2i^4+i^2	$2 i^{4} + i^{2}$
212596	Simplify	52+(-x/3)+(-40)	$52 + (- \frac{x}{3}) + (- 40)$
212597	Solve for x	3-9/4=(2x+9)/(4x)	$3 - \frac{9}{4} = \frac{2 x + 9}{4 x}$
212598	Simplify	4a+b+10a-10b	$4 a + b + 10 a - 10 b$
212599	Simplify	(2a)/( square root of 36a^7)	$\frac{2 a}{\sqrt{36 a^{7}}}$
212600	Graph	y<=-2 y<=x-3	$y \leq - 2$ $y \leq x - 3$