Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
216501	Evaluate	Find the value of cube root of 27	Find the value of $\sqrt[3]{27}$
216502	Simplify	(2p-3)/(p^2-5p+6)-5/(p^2-9)	$\frac{2 p - 3}{p^{2} - 5 p + 6} - \frac{5}{p^{2} - 9}$
216503	Find the Inverse	f(x)=7((x^(1/3))/6+5)	$f (x) = 7 (\frac{x^{\frac{1}{3}}}{6} + 5)$
216504	Find the Exact Value	(4^3)÷(2^3)	$4^{3} \div 2^{3}$
216505	Solve Over the Interval	2sin(theta)^2-1=0 , 0<=theta<2pi	$2 \sin^{2} (θ) - 1 = 0$ , $0 \leq θ < 2 π$
216506	Simplify	b/6-(3a-2b)/6	$\frac{b}{6} - \frac{3 a - 2 b}{6}$
216507	Write in Standard Form	x^2(2x+9)	$x^{2} (2 x + 9)$
216508	Write in Standard Form	(8x+5)+(-x^2-8)	$(8 x + 5) + (- x^{2} - 8)$
216509	Solve the System of Equations	y=-3x^2-19x+9 x+y=9	$y = - 3 x^{2} - 19 x + 9$ $x + y = 9$
216510	Write in Slope-Intercept Form	2-1/2x=y	$2 - \frac{1}{2} x = y$
216511	Simplify	x/(x+1)+1/(x^2-9)	$\frac{x}{x + 1} + \frac{1}{x^{2} - 9}$
216512	Simplify	v(uv^2)(u^3v)	$v (u v^{2}) (u^{3} v)$
216513	Simplify	(x^2-2x-15)/(x^2(x+3))*(x(x+2))/(x-5)	$\frac{x^{2} - 2 x - 15}{x^{2} (x + 3)} \cdot \frac{x (x + 2)}{x - 5}$
216514	Simplify	(3y)/5-2y	$\frac{3 y}{5} - 2 y$
216515	Solve for z	limit as x approaches 4 of (x^2+7x+z)/(x^2-6x+8)=15/2	$lim_{x \to 4} \frac{x^{2} + 7 x + z}{x^{2} - 6 x + 8} = \frac{15}{2}$
216516	Solve for x	- square root of x-11=3- square root of x	$- \sqrt{x - 11} = 3 - \sqrt{x}$
216517	Write the Fraction in Simplest Form	5/6-1/3	$\frac{5}{6} - \frac{1}{3}$
216518	Simplify	(5a^-4a^6b^-5)/(15a^-2b^6)	$\frac{5 a^{- 4} a^{6} b^{- 5}}{15 a^{- 2} b^{6}}$
216519	Write in Slope-Intercept Form	(3x)/4+(5y)/2=3/2	$\frac{3 x}{4} + \frac{5 y}{2} = \frac{3}{2}$
216520	Simplify	(7/(7^3))^-3	${(\frac{7}{7^{3}})}^{- 3}$
216521	Write the Fraction in Simplest Form	(-3(v^3)^-5)/(6s^-7)	$\frac{- 3 {(v^{3})}^{- 5}}{6 s^{- 7}}$
216522	Graph	2x-y>=2 x-2y>=2	$2 x - y \geq 2$ $x - 2 y \geq 2$
216523	Convert to Scientific Notation	((1.510^-7)(3.610^15))÷(1.210^-3)	$(1.5 \cdot 10^{- 7}) \cdot (3.6 \cdot 10^{15}) \div (1.2 \cdot 10^{- 3})$
216524	Simplify	(-x^-3y^0z^-4)^-1	${(- x^{- 3} y^{0} z^{- 4})}^{- 1}$
216525	Solve for z	5(4z+6)-2(z-4)=7z(z+4)-z(7z-2)-48	$5 (4 z + 6) - 2 (z - 4) = 7 z (z + 4) - z (7 z - 2) - 48$
216526	Solve for x	( cube root of x+10)/4=-1	$\frac{\sqrt[3]{x + 10}}{4} = - 1$
216527	Solve for x	1-5/(x-2)=(x+2)/(x^2-4)	$1 - \frac{5}{x - 2} = \frac{x + 2}{x^{2} - 4}$
216528	Solve the Inequality for n	-3+\|n-2\|>5	$- 3 + \| n - 2 \| > 5$
216529	Graph	y<=x-1 x+2y>=4	$y \leq x - 1$ $x + 2 y \geq 4$
216530	Evaluate Using the Given Value	z-(y÷3-1) ; use y=3 ; and z=7	$z - (y \div 3 - 1)$ ; use $y = 3$ ; and $z = 7$
216531	Find the Product	2 square root of 8x^3(3 square root of 10x^4-x square root of 5x^2)	$2 \sqrt{8 x^{3}} (3 \sqrt{10 x^{4}} - x \sqrt{5 x^{2}})$
216532	Solve for y	2(5+y)=18	$2 (5 + y) = 18$
216533	Solve for y	4/(y+4)=8/(2y+8)-3	$\frac{4}{y + 4} = \frac{8}{2 y + 8} - 3$
216534	Find the Product	(4-b)(5b^2+5b-4)	$(4 - b) (5 b^{2} + 5 b - 4)$
216535	Solve the System of Equations	x-y=-4 y=x+4	$x - y = - 4$ $y = x + 4$
216536	Solve for y	(y^2-3)^2+4(y^2-3)=-4	${(y^{2} - 3)}^{2} + 4 (y^{2} - 3) = - 4$
216537	Solve for x	(1^(2x-10))/6<=(1^(3x+13))/36	$\frac{1^{2 x - 10}}{6} \leq \frac{1^{3 x + 13}}{36}$
216538	Expand Using the Binomial Theorem	( square root of x-1/y)^25	${(\sqrt{x} - \frac{1}{y})}^{25}$
216539	Solve for x	cube root of x+1 = cube root of x^2-5	$\sqrt[3]{x + 1} = \sqrt[3]{x^{2} - 5}$
216540	Simplify	(y^2+8y+15)/(y-6)*(y^2-9y+18)/(y^2-9)	$\frac{y^{2} + 8 y + 15}{y - 6} \cdot \frac{y^{2} - 9 y + 18}{y^{2} - 9}$
216541	Simplify	(y^3(y^3)^4)/((y^4)^6)	$\frac{y^{3} {(y^{3})}^{4}}{{(y^{4})}^{6}}$
216542	Find the Holes in the Graph	f(x)=(-3x(x-2))/((x-2)(x+2))	$f (x) = \frac{- 3 x (x - 2)}{(x - 2) (x + 2)}$
216543	Solve for X	square root of X(2X+5)=5	$\sqrt{X (2 X + 5)} = 5$
216544	Solve for f	f(2)=-2 and f(1)=1	$f (2) = - 2$ and $f (1) = 1$
216545	Solve for x	16/8=(21-x)/x	$\frac{16}{8} = \frac{21 - x}{x}$
216546	Simplify	(4y^2+3y-8)-(y^3-2y^2+6)	$(4 y^{2} + 3 y - 8) - (y^{3} - 2 y^{2} + 6)$
216547	Solve by Factoring	2x^2-9x-65=x^2-x	$2 x^{2} - 9 x - 65 = x^{2} - x$
216548	Simplify	(54(x-3)^3)/(63(3-x)^2)	$\frac{54 {(x - 3)}^{3}}{63 {(3 - x)}^{2}}$
216549	Solve for x	5(x-3)=y(4-3x)	$5 (x - 3) = y (4 - 3 x)$
216550	Simplify	(2+4i^5)+(1-9i^6)-(3+i^7)	$(2 + 4 i^{5}) + (1 - 9 i^{6}) - (3 + i^{7})$
216551	Evaluate	(6x^2)(-3x^5)	$(6 x^{2}) (- 3 x^{5})$
216552	Simplify	((6x+6)/7)÷((4x+4)/(x-2))	$\frac{6 x + 6}{7} \div \frac{4 x + 4}{x - 2}$
216553	Rationalize the Denominator	(1- square root of 2)/( square root of 2)	$\frac{1 - \sqrt{2}}{\sqrt{2}}$
216554	Find All Complex Solutions	3+ square root of 3x+1=x	$3 + \sqrt{3 x + 1} = x$
216555	Find the Inverse	f(x)=(1-2x)/(5x-1)	$f (x) = \frac{1 - 2 x}{5 x - 1}$
216556	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (2,-1) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(2, - 1)$ and has a slope of $\frac{3}{2}$ ?
216557	Solve the Inequality for x	2x^2+8<=16x-6	$2 x^{2} + 8 \leq 16 x - 6$
216558	Simplify	3 square root of 3+3 square root of 5+ square root of 5	$3 \sqrt{3} + 3 \sqrt{5} + \sqrt{5}$
216559	Evaluate	f(-1)+f(4)=-11	$f (- 1) + f (4) = - 11$
216560	Find the Inverse	f(x)=x^2-3/4	$f (x) = x^{2} - \frac{3}{4}$
216561	Solve the Inequality for x	-3x^2+57x>9x+189	$- 3 x^{2} + 57 x > 9 x + 189$
216562	Multiply	( square root of 3+ square root of 6)*( square root of 2-2)	$(\sqrt{3} + \sqrt{6}) \cdot (\sqrt{2} - 2)$
216563	Solve for v	19=-8v-4v-17	$19 = - 8 v - 4 v - 17$
216564	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+2x^3-5x^2-6x-2 is divided by x+1	Use synthetic division to find the result when $3 x^{4} + 2 x^{3} - 5 x^{2} - 6 x - 2$ is divided by $x + 1$
216565	Evaluate	(y-1)/(y+3)=(y+1)/(y+10)	$\frac{y - 1}{y + 3} = \frac{y + 1}{y + 10}$
216566	Convert to Radical Form	(3/(y^5))^(1/2)	${(\frac{3}{y^{5}})}^{\frac{1}{2}}$
216567	Solve for z	39-4z=28-8z+3	$39 - 4 z = 28 - 8 z + 3$
216568	Simplify	(6^3x)/(6x^5)	$\frac{6^{3} x}{6 x^{5}}$
216569	Simplify	(49^(7/2))/(49^(3/2))	$\frac{49^{\frac{7}{2}}}{49^{\frac{3}{2}}}$
216570	Evaluate Using the Given Value	Evaluate 0.3y+y/z when y=10 and z=5	Evaluate $0.3 y + \frac{y}{z}$ when $y = 10$ and $z = 5$
216571	Evaluate	(1/2)/(2pi)	$\frac{\frac{1}{2}}{2 π}$
216572	Rationalize the Denominator	( square root of 6x)/( square root of 3)	$\frac{\sqrt{6 x}}{\sqrt{3}}$
216573	Simplify	7/(9x^2)*6/(7x)	$\frac{7}{9 x^{2}} \cdot \frac{6}{7 x}$
216574	Solve the System of Equations	-4x+2y=-6 and -x+8y=21	$- 4 x + 2 y = - 6$ and $- x + 8 y = 21$
216575	Solve for x	(x+2)^(1/3)-2=0	${(x + 2)}^{\frac{1}{3}} - 2 = 0$
216576	Solve for s	s-8>9s+8	$s - 8 > 9 s + 8$
216577	Simplify	(10^-5)^3(9.9*10^-12)^2	${(10^{- 5})}^{3} {(9.9 \cdot 10^{- 12})}^{2}$
216578	Graph	1>x-7 or 3	$1 > x - 7$ or $3$
216579	Solve for x	-6/x-3/(4x)=3/4	$\frac{- 6}{x} - \frac{3}{4 x} = \frac{3}{4}$
216580	Simplify the Radical Expression	a^(2/5)*a^-3	$a^{\frac{2}{5}} \cdot a^{- 3}$
216581	Simplify	( fourth root of 243x^12y^20)/( fourth root of 3x^4y^16)	$\frac{\sqrt[4]{243 x^{12} y^{20}}}{\sqrt[4]{3 x^{4} y^{16}}}$
216582	Simplify	(5a)/(3a^2)+6/(3a^2)+(4a)/(3a^2)	$\frac{5 a}{3 a^{2}} + \frac{6}{3 a^{2}} + \frac{4 a}{3 a^{2}}$
216583	Simplify	((a^2)/(12b))÷((ab)/36)	$\frac{a^{2}}{12 b} \div \frac{a b}{36}$
216584	Evaluate Using the Given Value	(p^2m)÷4 ; use m=4 ; and p=7	$p^{2} m \div 4$ ; use $m = 4$ ; and $p = 7$
216585	Convert to a Decimal	-420deg	$- 420$ degrees
216586	Solve for x	x/9=(24-x)/18	$\frac{x}{9} = \frac{24 - x}{18}$
216587	Simplify	(14x^2+8)+(4x-2)-(12x^2-1)	$(14 x^{2} + 8) + (4 x - 2) - (12 x^{2} - 1)$
216588	Simplify	(-7mn+8mn^2-8m^2n^2)+(10m^2n+2m^2n^2-3mn)	$(- 7 m n + 8 m n^{2} - 8 m^{2} n^{2}) + (10 m^{2} n + 2 m^{2} n^{2} - 3 m n)$
216589	Simplify	cube root of -40a^7+2a^2* cube root of 135a^4	$\sqrt[3]{- 40 a^{7}} + 2 a^{2} \cdot \sqrt[3]{135 a^{4}}$
216590	Evaluate	(tan(pi/4))/2-1/(sec(pi/3))	$\frac{\tan (\frac{π}{4})}{2} - \frac{1}{\sec (\frac{π}{3})}$
216591	Graph	2x-3y<12 y<=-x+6	$2 x - 3 y < 12$ $y \leq - x + 6$
216592	Solve for x	5/4x-2=-1/4x+19	$\frac{5}{4} x - 2 = - \frac{1}{4} x + 19$
216593	Solve the Rational Equation for x	(5-x)^(1/2)-2x=0	${(5 - x)}^{\frac{1}{2}} - 2 x = 0$
216594	Simplify	(x^2-7x+6)+(x^2+6x)	$(x^{2} - 7 x + 6) + (x^{2} + 6 x)$
216595	Find the x and y Intercepts	f(x)=-3(x^2-7)(x-1)(x-4)^2(x-1)(x^2+1)	$f (x) = - 3 (x^{2} - 7) (x - 1) {(x - 4)}^{2} (x - 1) (x^{2} + 1)$
216596	Identify the Zeros and Their Multiplicities	f(x)=4x^3-4x^2+x	$f (x) = 4 x^{3} - 4 x^{2} + x$
216597	Solve the System of Equations	x^2+4y^2=100 4y-x^2=-20	$x^{2} + 4 y^{2} = 100$ $4 y - x^{2} = - 20$
216598	Find the Distance Between Two Points	(-3,5) and (-3,2)	$(- 3, 5)$ and $(- 3, 2)$
216599	Factor	10x^4+55x^3y+6xy+33y^2	$10 x^{4} + 55 x^{3} y + 6 x y + 33 y^{2}$
216600	Simplify	fourth root of 16x^8y^4	$\sqrt[4]{16 x^{8}} y^{4}$