Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233601	Divide	(6-2i)/(4+i)	$\frac{6 - 2 i}{4 + i}$
233602	Write in Standard Form	h(x)=5x^3-7x^-2+x-1	$h (x) = 5 x^{3} - 7 x^{- 2} + x - 1$
233603	Simplify	(5x+2)+(x^2-9)+(x^2-7x+12)	$(5 x + 2) + (x^{2} - 9) + (x^{2} - 7 x + 12)$
233604	Simplify	2 5/8-5 3/4+2	$2 \frac{5}{8} - 5 \frac{3}{4} + 2$
233605	Evaluate	(y^2+2y-3)-(4y^2-5y-2)	$(y^{2} + 2 y - 3) - (4 y^{2} - 5 y - 2)$
233606	Solve for x	3/(8x)+1/4=5/(2x)	$\frac{3}{8 x} + \frac{1}{4} = \frac{5}{2 x}$
233607	Simplify the Radical Expression	8 square root of 16-2 cube root of 8+ fourth root of 16	$8 \sqrt{16} - 2 \sqrt[3]{8} + \sqrt[4]{16}$
233608	Divide	(60a^2b^4+40ab^5+10b^6+5ab^2)/(-10a^2b^3)	$\frac{60 a^{2} b^{4} + 40 a b^{5} + 10 b^{6} + 5 a b^{2}}{- 10 a^{2} b^{3}}$
233609	Solve the System of Inequalities	x+y<=-1 x+y>=3	$x + y \leq - 1$ $x + y \geq 3$
233610	Simplify	8x^0+5	$8 x^{0} + 5$
233611	Divide	(2x-1)/x	$\frac{2 x - 1}{x}$
233612	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,-8) and has a slope of 4 ?	What is the equation of the line that passes through the point $(- 4, - 8)$ and has a slope of $4$ ?
233613	Find the Domain and Range	y=3sin(-x/3)	$y = 3 \sin (- \frac{x}{3})$
233614	Evaluate	3(x+2)^2+4	$3 {(x + 2)}^{2} + 4$
233615	Simplify	5/2-1/(x^3)	$\frac{5}{2} - \frac{1}{x^{3}}$
233616	Solve for u	27=u^3	$27 = u^{3}$
233617	Simplify	(6 cube root of 24)/(2 cube root of 2)	$\frac{6 \sqrt[3]{24}}{2 \sqrt[3]{2}}$
233618	Solve for x	x^5+4x^3=5x^4-2x^3	$x^{5} + 4 x^{3} = 5 x^{4} - 2 x^{3}$
233619	Evaluate	-(0)^4-8(0)^3-18(0)^2+7	$- {(0)}^{4} - 8 {(0)}^{3} - 18 {(0)}^{2} + 7$
233620	Simplify	( square root of 160a^6b^2+ square root of 40a^4b^2)/( square root of 20ab)	$\frac{\sqrt{160 a^{6} b^{2}} + \sqrt{40 a^{4} b^{2}}}{\sqrt{20 a b}}$
233621	Multiply	(2- square root of 5)*(2- square root of 5)	$(2 - \sqrt{5}) \cdot (2 - \sqrt{5})$
233622	Solve for x	3x+2(x-8)>x	$3 x + 2 (x - 8) > x$
233623	Graph	y=1/2x^4	$y = \frac{1}{2} x^{4}$
233624	Divide	((x+4)/(x^2+2))÷((x^2-2)/(x-8))	$\frac{x + 4}{x^{2} + 2} \div \frac{x^{2} - 2}{x - 8}$
233625	Convert to a Percentage	0.2*100	$0.2 \cdot 100$
233626	Simplify	18-12+2*3^2-12÷(1+1)	$18 - 12 + 2 \cdot 3^{2} - 12 \div (1 + 1)$
233627	Solve the Inequality for q	q/7+1>-5	$\frac{q}{7} + 1 > - 5$
233628	Find the Product	(-9x^2-10y)^2	${(- 9 x^{2} - 10 y)}^{2}$
233629	Divide	((x^2+15x+56)/x)÷((x^2+2x-35)/(4x-20))	$\frac{x^{2} + 15 x + 56}{x} \div \frac{x^{2} + 2 x - 35}{4 x - 20}$
233630	Determine if (-3,-4) is a Solution	5x-y>-2 , (-3,-4)	$5 x - y > - 2$ , $(- 3, - 4)$
233631	Solve by Factoring	x^3-5x^2-4x-20=0	$x^{3} - 5 x^{2} - 4 x - 20 = 0$
233632	Divide	(4+3i)/(-10+i)	$\frac{4 + 3 i}{- 10 + i}$
233633	Graph	x^2+y^2=y	$x^{2} + y^{2} = y$
233634	Evaluate the Function	p(11)=5(x^2+1)+16	$p (11) = 5 (x^{2} + 1) + 16$
233635	Divide	((x^2+3x-28)/(2x^3))÷((x^2-7x+12)/(x-3))	$\frac{x^{2} + 3 x - 28}{2 x^{3}} \div \frac{x^{2} - 7 x + 12}{x - 3}$
233636	Rationalize the Denominator	(4+ square root of 27)/(2-3 square root of 27)	$\frac{4 + \sqrt{27}}{2 - 3 \sqrt{27}}$
233637	Solve for P	(P)=(2L+2W)	$(P) = (2 L + 2 W)$
233638	Find All Complex Solutions	4sin(theta)-1=2sin(theta)	$4 \sin (θ) - 1 = 2 \sin (θ)$
233639	Write in Slope-Intercept Form	5x-12=9(2y-1)	$5 x - 12 = 9 (2 y - 1)$
233640	Solve for z	z(z+7)=30	$z (z + 7) = 30$
233641	Simplify	( square root of cube root of 2)^4	${(\sqrt{\sqrt[3]{2}})}^{4}$
233642	Factor	a-b+ab-1	$a - b + a b - 1$
233643	Solve the Inequality for x	(5x-6)^2<=0	${(5 x - 6)}^{2} \leq 0$
233644	Simplify the Radical Expression	square root of (45x^3y^4)/(16x^2)	$\sqrt{\frac{45 x^{3} y^{4}}{16 x^{2}}}$
233645	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,0) and has a slope of -2 ?	What is the equation of the line that passes through the point $(- 2, 0)$ and has a slope of $- 2$ ?
233646	Find the Third Term	a_n=1/4(2)^(n-1)	$a_{n} = \frac{1}{4} {(2)}^{n - 1}$
233647	Graph	y=x-1/x	$y = x - \frac{1}{x}$
233648	Solve for z	2(3-2(z+4))=3(4-z)	$2 (3 - 2 (z + 4)) = 3 (4 - z)$
233649	Find the Degree	(5np)/(n^2)-(2g)/h	$\frac{5 n p}{n^{2}} - \frac{2 g}{h}$
233650	Solve for x	f(1)=2x-1	$f (1) = 2 x - 1$
233651	Graph	y<=2x-4 2y-x>=2	$y \leq 2 x - 4$ $2 y - x \geq 2$
233652	Solve for y	y=(-2+1)^2	$y = {(- 2 + 1)}^{2}$
233653	Evaluate	1/2(5/6)^2+2/9	$\frac{1}{2} {(\frac{5}{6})}^{2} + \frac{2}{9}$
233654	Evaluate	2+(-1/2)	$2 + (- \frac{1}{2})$
233655	Simplify	log of 12+1/2 log of 7- log of 2	$\log (12) + \frac{1}{2} \log (7) - \log (2)$
233656	Simplify	x^3 square root of y^4	$x^{3} \sqrt{y^{4}}$
233657	Solve for x	5x-(7x-4)-2=5-(3x+2)	$5 x - (7 x - 4) - 2 = 5 - (3 x + 2)$
233658	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+19x^2+30x+8 is divided by 3x+1	Use the long division method to find the result when $3 x^{3} + 19 x^{2} + 30 x + 8$ is divided by $3 x + 1$
233659	Graph	f(x)=\|x\| g(x)=\|x\|+5	$f (x) = \| x \|$ $g (x) = \| x \| + 5$
233660	Solve for a	ac+2bc-6ab-3a^2=0	$a c + 2 b c - 6 a b - 3 a^{2} = 0$
233661	Evaluate	( fourth root of x)^-1	${(\sqrt[4]{x})}^{- 1}$
233662	Solve for x	1/3(13^(6x+5))=14	$\frac{1}{3} (13^{6 x + 5}) = 14$
233663	Solve the Absolute Value Inequality for y	\|y-20\|<4	$\| y - 20 \| < 4$
233664	Expand Using the Binomial Theorem	(2xy^3+y)^7	${(2 x y^{3} + y)}^{7}$
233665	Divide Using Long Polynomial Division	2x^3+15x^2-16x+4 divided by 2x-1	$2 x^{3} + 15 x^{2} - 16 x + 4$ divided by $2 x - 1$
233666	Simplify the Radical Expression	(x^3)^2	${(x^{3})}^{2}$
233667	Find the Product	(x+ square root of 5)(x+ square root of 5)	$(x + \sqrt{5}) (x + \sqrt{5})$
233668	Multiply	[[-3],[0],[2],[-1]][[1,4,1,-4,0]]	$[\begin{array}{c} - 3 \\ 0 \\ 2 \\ - 1 \end{array}] [\begin{array}{c} 1 & 4 & 1 & - 4 & 0 \end{array}]$
233669	Graph	2/3y=-1/2x	$\frac{2}{3} y = - \frac{1}{2} x$
233670	Rationalize the Denominator	( square root of 9)/( square root of 8)	$\frac{\sqrt{9}}{\sqrt{8}}$
233671	Divide Using Long Polynomial Division	9x^3-12x^2-18x-9 divided by 3x-7	$9 x^{3} - 12 x^{2} - 18 x - 9$ divided by $3 x - 7$
233672	Solve for x	1-x/6=x/2-3	$1 - \frac{x}{6} = \frac{x}{2} - 3$
233673	Write the Fraction in Simplest Form	3/26*8	$\frac{3}{26} \cdot 8$
233674	Solve the Inequality for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$ ?
233675	Simplify	( square root of 40x^4)/( cube root of -x^3)	$\frac{\sqrt{40 x^{4}}}{\sqrt[3]{- x^{3}}}$
233676	Simplify the Radical Expression	( fourth root of 16x^16y^24)/( fourth root of x^2y^4)	$\frac{\sqrt[4]{16 x^{16} y^{24}}}{\sqrt[4]{x^{2} y^{4}}}$
233677	Graph	x>=y^2	$x \geq y^{2}$
233678	Solve for x	x^( log base 2 of x)=4x	$x^{\log_{2} (x)} = 4 x$
233679	Solve the System of Equations	-x-3y+3z=-5 x-5y-z=7 x-7y+z=-3	$- x - 3 y + 3 z = - 5$ $x - 5 y - z = 7$ $x - 7 y + z = - 3$
233680	Solve the Inequality for v	3v-8>22	$3 v - 8 > 22$
233681	Find the Domain and Range	y=1/2csc(x)	$y = \frac{1}{2} \csc (x)$
233682	Evaluate	-1/2(8+6)	$- \frac{1}{2} (8 + 6)$
233683	Solve for x	square root of 5+ square root of x=4	$\sqrt{5 + \sqrt{x}} = 4$
233684	Simplify	(-4x^2+16)-(-4x^2+16)	$(- 4 x^{2} + 16) - (- 4 x^{2} + 16)$
233685	Simplify	((x^2+2)^3(4x)-x^2*3(x^2+2)^2(4x))/(((x^2+2)^3)^2)	$\frac{{(x^{2} + 2)}^{3} (4 x) - x^{2} \cdot 3 {(x^{2} + 2)}^{2} (4 x)}{{({(x^{2} + 2)}^{3})}^{2}}$
233686	Evaluate	3^(3x+6)=27^(x+2)	$3^{3 x + 6} = 27^{x + 2}$
233687	Solve for g	t=(v+k)/g	$t = \frac{v + k}{g}$
233688	Simplify	(a^2+b^2)(c^2+d^2)	$(a^{2} + b^{2}) (c^{2} + d^{2})$
233689	Simplify	xy*2x^5y^3	$x y \cdot 2 x^{5} y^{3}$
233690	Evaluate the Function	P(x)=7x^3+6x^4-8x^6+6x+11 at x=0	$P (x) = 7 x^{3} + 6 x^{4} - 8 x^{6} + 6 x + 11$ at $x = 0$
233691	Evaluate	(2x-3)/(3x+2)<0	$\frac{2 x - 3}{3 x + 2} < 0$
233692	Evaluate	2pi-0	$2 π - 0$
233693	Simplify	square root of (x-1)^4	$\sqrt{{(x - 1)}^{4}}$
233694	Solve for z	\|3z-9\|<=3	$\| 3 z - 9 \| \leq 3$
233695	Write the Fraction in Simplest Form	17/15*2/11	$\frac{17}{15} \cdot \frac{2}{11}$
233696	Solve for b	3 3/4b=-2 1/2	$3 \frac{3}{4} b = - 2 \frac{1}{2}$
233697	Solve for A	2cos(A)^2-cos(A)-1=0	$2 \cos^{2} (A) - \cos (A) - 1 = 0$
233698	Simplify	cos(150 degrees )	$\cos (150 °)$
233699	Simplify	((e^x+e^(-x))/2)^2	${(\frac{e^{x} + e^{- x}}{2})}^{2}$
233700	Graph	f(x)=x(x-2)^2(x-1)(x+1)	$f (x) = x {(x - 2)}^{2} (x - 1) (x + 1)$