Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221501	Simplify	(-2x^4-4y^3+4z^3+6)-(-9x^4-3y^3+4z^3+9)	$(- 2 x^{4} - 4 y^{3} + 4 z^{3} + 6) - (- 9 x^{4} - 3 y^{3} + 4 z^{3} + 9)$
221502	Simplify	(2^7z^5)/(2^6z^3)	$\frac{2^{7} z^{5}}{2^{6} z^{3}}$
221503	Evaluate	(x^2y-3y^2+5xy^2)-(-x^2y+3xy^2-3y^2)	$(x^{2} y - 3 y^{2} + 5 x y^{2}) - (- x^{2} y + 3 x y^{2} - 3 y^{2})$
221504	Graph	x<=-3 x>=3 y<=-4 y>=4	$x \leq - 3$ $x \geq 3$ $y \leq - 4$ $y \geq 4$
221505	Simplify	(3x-1/4)(4x+8)	$(3 x - \frac{1}{4}) (4 x + 8)$
221506	Evaluate Using the Given Value	20x if x=1/4	$20 x$ if $x = \frac{1}{4}$
221507	Solve for y	4x=3+y	$4 x = 3 + y$
221508	Evaluate	-1/4(20z+24)	$- \frac{1}{4} (20 z + 24)$
221509	Solve the Rational Equation for x	(4x)/(x+4)+3/(x-1)=15/(x^2+3x-4)	$\frac{4 x}{x + 4} + \frac{3}{x - 1} = \frac{15}{x^{2} + 3 x - 4}$
221510	Simplify	(8+7n^4)-(5-2n+8n^4)	$(8 + 7 n^{4}) - (5 - 2 n + 8 n^{4})$
221511	Evaluate	5/6-7/9(1/2)^2	$\frac{5}{6} - \frac{7}{9} {(\frac{1}{2})}^{2}$
221512	Solve for x	3x^(1/3)-2=-4	$3 x^{\frac{1}{3}} - 2 = - 4$
221513	Simplify	(2x^2-2y^2)/(x^2+2xy+y^2)	$\frac{(2 x^{2} - 2 y^{2})}{x^{2} + 2 x y + y^{2}}$
221514	Find the Degree	arcsin(-( square root of 3)/2)	$\arcsin (- \frac{\sqrt{3}}{2})$
221515	Multiply	-9*(0/-3)	$- 9 \cdot (\frac{0}{- 3})$
221516	Find the Perpendicular Line	(4,-3) , y=-x-5	$(4, - 3)$ , $y = - x - 5$
221517	Find All Complex Solutions	2x+2x+2=4x+2	$2 x + 2 x + 2 = 4 x + 2$
221518	Solve the System of Equations	-2x+y=-4 2x-y=1 0=-3	$- 2 x + y = - 4$ $2 x - y = 1$ $0 = - 3$
221519	Solve for x	square root of 11x+5- square root of 11x=1	$\sqrt{11 x + 5} - \sqrt{11 x} = 1$
221520	Graph	y>=-1/2x+2 1/2 y<1/5x+6	$y \geq - \frac{1}{2} x + 2 \frac{1}{2}$ $y < \frac{1}{5} x + 6$
221521	Graph	What is the end behavior of y as x goes to negative infinity in the equation y=-2x^3+5 ?	What is the end behavior of $y$ as $x$ goes to negative infinity in the equation $y = - 2 x^{3} + 5$ ?
221522	Find the Domain and Range	y=tan(x+pi)	$y = \tan (x + π)$
221523	Find the Exact Value	5^-5*5^3	$5^{- 5} \cdot 5^{3}$
221524	Find the Roots (Zeros)	p^4+40=14p^2	$p^{4} + 40 = 14 p^{2}$
221525	Solve for x	square root of x^2-12x+36=6-x	$\sqrt{x^{2} - 12 x + 36} = 6 - x$
221526	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+17x^2+15x+6 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 17 x^{2} + 15 x + 6$ is divided by $3 x + 2$
221527	Convert to Radical Form	(x^(1/7))^(3/2)	${(x^{\frac{1}{7}})}^{\frac{3}{2}}$
221528	Solve the System of Equations	2/3x+5/2y=15 4x+15y=12	$\frac{2}{3} x + \frac{5}{2} y = 15$ $4 x + 15 y = 12$
221529	Simplify	((4x)/(5+x))/((6x)/(x+2))	$\frac{\frac{4 x}{5 + x}}{\frac{6 x}{x + 2}}$
221530	Multiply	6/(x^2-9x+20)*(5x-25)/(3x-6)	$\frac{6}{x^{2} - 9 x + 20} \cdot \frac{5 x - 25}{3 x - 6}$
221531	Solve for x	5-3(1/2x+2)=-7	$5 - 3 (\frac{1}{2} x + 2) = - 7$
221532	Simplify	3/( square root of x)+x/( cube root of y)	$\frac{3}{\sqrt{x}} + \frac{x}{\sqrt[3]{y}}$
221533	Graph Using a Table of Values	y = cube root of x-3	$y = \sqrt[3]{x - 3}$
221534	Graph	y< = square root of x-5+2	$y \leq \sqrt{x - 5 + 2}$
221535	Simplify	((x^2y^13)÷(y^0))^2	${(x^{2} y^{13} \div y^{0})}^{2}$
221536	Simplify	(12a^2bc^3)/(3ab)	$\frac{12 a^{2} b c^{3}}{3 a b}$
221537	Evaluate	sec(x)^2=sec(x)	$\sec^{2} (x) = \sec (x)$
221538	Graph	-2(1/2)^x+4	$- 2 {(\frac{1}{2})}^{x} + 4$
221539	Evaluate	sin(x)*sin(x)	$\sin (x) \cdot \sin (x)$
221540	Solve for x	4x+2(2x-3)=8(x-1)	$4 x + 2 (2 x - 3) = 8 (x - 1)$
221541	Simplify	p(x)=(x+3)^4	$p (x) = {(x + 3)}^{4}$
221542	Solve for z	x=(2y+z)/4	$x = \frac{2 y + z}{4}$
221543	Solve the Inequality for x	-x+23<2-2(x-8)	$- x + 23 < 2 - 2 (x - 8)$
221544	Simplify	(tan(x)-sin(x)cos(x))/(tan(x))	$\frac{\tan (x) - \sin (x) \cos (x)}{\tan (x)}$
221545	Determine if Dependent, Independent, or Inconsistent	y=3x y=-3x+2	$y = 3 x$ $y = - 3 x + 2$
221546	Simplify	(-r^2s)(-3rs^3)(-s^2)	$(- r^{2} s) (- 3 r s^{3}) (- s^{2})$
221547	Simplify	a^2(a^3b^4)^2	$a^{2} \cdot {(a^{3} \cdot b^{4})}^{2}$
221548	Simplify	(3a^3b^4c)/(6a^5b)	$\frac{3 a^{3} b^{4} c}{6 a^{5} b}$
221549	Solve for x	square root of 4x-20+3 square root of (x-5)/9-1/3 square root of 9x-45=4	$\sqrt{4 x - 20} + 3 \sqrt{\frac{x - 5}{9}} - \frac{1}{3} \sqrt{9 x - 45} = 4$
221550	Solve the Inequality for x	\|x+4\|-8>2	$\| x + 4 \| - 8 > 2$
221551	Simplify	(27x^4-x)/(x^4+x^3+x)	$\frac{27 x^{4} - x}{x^{4} + x^{3} + x}$
221552	Graph	x+3y>6 2x+y<7	$x + 3 y > 6$ $2 x + y < 7$
221553	Write in Standard Form	2x^3y-3x^2+7y^2x-12y	$2 x^{3} y - 3 x^{2} + 7 y^{2} x - 12 y$
221554	Find the Exact Value	sin(pi/3)cos(pi/4)-tan(pi/3)	$\sin (\frac{π}{3}) \cos (\frac{π}{4}) - \tan (\frac{π}{3})$
221555	Graph	-y	$- y$
221556	Multiply	r^2rr^5	$r^{2} \cdot r \cdot r^{5}$
221557	Solve for m	(2m)/2=m	$\frac{2 m}{2} = m$
221558	Solve for z	x=3/5(y-z)	$x = \frac{3}{5} (y - z)$
221559	Simplify	2(cot(x)^2+1)	$2 (\cot^{2} (x) + 1)$
221560	Simplify	(-3(m^2-n^2))/( square root of n^2+m^2)+ square root of n^2+m^2	$\frac{- 3 (m^{2} - n^{2})}{\sqrt{n^{2} + m^{2}}} + \sqrt{n^{2} + m^{2}}$
221561	Simplify	(6xy)/(15ab^2)*(21a^3)/(18x^4y)	$\frac{6 x y}{15 a b^{2}} \cdot \frac{21 a^{3}}{18 x^{4} y}$
221562	Simplify	cube root of (3a)/(4b^2c)	$\sqrt[3]{\frac{3 a}{4 b^{2} c}}$
221563	Solve Using the Quadratic Formula	2e=2	$2 e = 2$
221564	Evaluate	(7x^2y^2+12xy^2-3x^2y+11)+(4xy-13x^2y+7)	$(7 x^{2} y^{2} + 12 x y^{2} - 3 x^{2} y + 11) + (4 x y - 13 x^{2} y + 7)$
221565	Evaluate the Function	y=-4(5)^x , x=2	$y = - 4 {(5)}^{x}$ , $x = 2$
221566	Simplify	(2tan(pi/8))/(1-tan(pi/8)^2)	$\frac{2 \tan (\frac{π}{8})}{1 - \tan^{2} (\frac{π}{8})}$
221567	Solve Using the Quadratic Formula	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
221568	Find the LCM	5y^2-80 and y+4	$5 y^{2} - 80$ and $y + 4$
221569	Simplify	(x+2)(3x-5)(x+1)(2x-1)	$(x + 2) (3 x - 5) (x + 1) (2 x - 1)$
221570	Evaluate Using the Given Value	((2^2x^2y)/(xy^3))^2 for x=4 and y=2	${(\frac{2^{2} x^{2} y}{x y^{3}})}^{2}$ for $x = 4$ and $y = 2$
221571	Solve the Inequality for x	((x+3)(5-x))/x<=0	$\frac{(x + 3) (5 - x)}{x} \leq 0$
221572	Graph	P(x)=(x+6)(2x-1)(3x+4)(x-3)	$P (x) = (x + 6) (2 x - 1) (3 x + 4) (x - 3)$
221573	Write in Standard Form	g(x)=x^4-1/3x^2+10-4x^3+2x	$g (x) = x^{4} - \frac{1}{3} x^{2} + 10 - 4 x^{3} + 2 x$
221574	Evaluate	(37.2^2sin(2*14.1))/9.8	$\frac{{37.2}^{2} \sin (2 \cdot 14.1)}{9.8}$
221575	Graph	-9x+5y<=-6 4x-8y<-16	$- 9 x + 5 y \leq - 6$ $4 x - 8 y < - 16$
221576	Combine Like Terms	3g-5+4g+5-7g	$3 g - 5 + 4 g + 5 - 7 g$
221577	Simplify	5m+9m+13-n-7	$5 m + 9 m + 13 - n - 7$
221578	Find the Degree, Leading Term, and Leading Coefficient	q(t)=-4t(2-t)(t+1)^3	$q (t) = - 4 t (2 - t) {(t + 1)}^{3}$
221579	Evaluate	3 2/5+(-7 1/5)	$3 \frac{2}{5} + (- 7 \frac{1}{5})$
221580	Simplify/Condense	log of x-1/2 log of y+7 log of z	$\log (x) - \frac{1}{2} \log (y) + 7 \log (z)$
221581	Evaluate	4+ square root of x-2=x	$4 + \sqrt{x - 2} = x$
221582	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4-16x^3+29x^2-17x-2 is divided by x-2	Use synthetic division to find the result when $3 x^{4} - 16 x^{3} + 29 x^{2} - 17 x - 2$ is divided by $x - 2$
221583	Multiply	(x-9)/(x^2-17x+72)*(x^2-64)/(6x+48)	$\frac{x - 9}{x^{2} - 17 x + 72} \cdot \frac{x^{2} - 64}{6 x + 48}$
221584	Divide	180÷pi	$180 \div π$
221585	Subtract	(5x^3+5x^2+5)-(6x^3-6x^2+8x-5)	$(5 x^{3} + 5 x^{2} + 5) - (6 x^{3} - 6 x^{2} + 8 x - 5)$
221586	Evaluate	cube root of n/4+n/10	$\sqrt[3]{\frac{n}{4}} + \frac{n}{10}$
221587	Multiply	4/( square root of 3)	$\frac{4}{\sqrt{3}}$
221588	Find the Product	(-1/2)*(m^2+2n-p)	$(- \frac{1}{2}) \cdot (m^{2} + 2 n - p)$
221589	Solve the Inequality for k	2+2k<=8	$2 + 2 k \leq 8$
221590	Multiply	-3y^2(-4y^3+y-9)	$- 3 y^{2} (- 4 y^{3} + y - 9)$
221591	Find the Product	-6p(p^4-8)	$- 6 p (p^{4} - 8)$
221592	Evaluate	(x^-8y^-6)/(x^7y^4)	$\frac{x^{- 8} y^{- 6}}{x^{7} y^{4}}$
221593	Solve for s	\|2s+1\|-3<=-8	$\| 2 s + 1 \| - 3 \leq - 8$
221594	Multiply	(7r)/(20r+10)*(20r+10)/(r-2)	$\frac{7 r}{20 r + 10} \cdot \frac{20 r + 10}{r - 2}$
221595	Evaluate	(1/(csc(x)))(tan(x)+cot(x))	$(\frac{1}{\csc (x)}) (\tan (x) + \cot (x))$
221596	Evaluate	(4a-a^3-3)+(2a^3-5a^2+8)	$(4 a - a^{3} - 3) + (2 a^{3} - 5 a^{2} + 8)$
221597	Evaluate	2/3% of 300	$\frac{2}{3} %$ of $300$
221598	Solve for r	0.7r=r+0.6	$0.7 r = r + 0.6$
221599	Solve for x	2/(x+2)-7/(x-5)=10	$\frac{2}{x + 2} - \frac{7}{x - 5} = 10$
221600	Find the Exact Value	9/5(8/3-1/6)	$\frac{9}{5} (\frac{8}{3} - \frac{1}{6})$