Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234601	Find the Product	(4x+5)(2w-9)	$(4 x + 5) (2 w - 9)$
234602	Simplify	5r-5s+r+r+r	$5 r - 5 s + r + r + r$
234603	Convert to a Decimal	cos(150)deg	$\cos (150)$ degrees
234604	Solve the System of Equations	-6x+8y=-10 and -4x+y=-11	$- 6 x + 8 y = - 10$ and $- 4 x + y = - 11$
234605	Simplify	cube root of (432x^8y^4)/(125x^2y^7)	$\sqrt[3]{\frac{432 x^{8} y^{4}}{125 x^{2} y^{7}}}$
234606	Solve the Rational Equation for x	3/(x+2)+6/(x^2+2x)=(3-x)/x	$\frac{3}{x + 2} + \frac{6}{x^{2} + 2 x} = \frac{3 - x}{x}$
234607	Solve the System of Inequalities	y>-1/6x+5 y<3/2x-5	$y > - \frac{1}{6} x + 5$ $y < \frac{3}{2} x - 5$
234608	Evaluate	6(-1)-4(-1)^2-7(-1)^3+9(-1)^2-5*-1	$6 (- 1) - 4 {(- 1)}^{2} - 7 {(- 1)}^{3} + 9 {(- 1)}^{2} - 5 \cdot - 1$
234609	Solve for x	1/3(10+x)=x	$\frac{1}{3} (10 + x) = x$
234610	Solve for x	2cos(x)^2=3sin(x)	$2 \cos^{2} (x) = 3 \sin (x)$
234611	Graph	4x^(-)*2	$4 x^{-} \cdot 2$
234612	Simplify	((x^3y^4z^5)/(x^-3y^-4z^-5))^-2	${(\frac{x^{3} y^{4} z^{5}}{x^{- 3} y^{- 4} z^{- 5}})}^{- 2}$
234613	Graph	2-9\|p+7\|>-16	$2 - 9 \| p + 7 \| > - 16$
234614	Solve the System of Equations	3x+y+7z=9 9x-y+10z=-8 4x+y+7z=2	$3 x + y + 7 z = 9$ $9 x - y + 10 z = - 8$ $4 x + y + 7 z = 2$
234615	Evaluate	5/9(72-32)	$\frac{5}{9} (72 - 32)$
234616	Simplify	6(2x-4y+10)-3+x	$6 (2 x - 4 y + 10) - 3 + x$
234617	Factor	x^4-5x^3+5x^2+5x-6	$x^{4} - 5 x^{3} + 5 x^{2} + 5 x - 6$
234618	Factor	6a^2b-2ab+5ab^2	$6 a^{2} b - 2 a b + 5 a b^{2}$
234619	Simplify the Radical Expression	(2+ square root of -8)/(1+ square root of -2)	$\frac{2 + \sqrt{- 8}}{1 + \sqrt{- 2}}$
234620	Factor	(7x-1)^2-(9x-2)^2	${(7 x - 1)}^{2} - {(9 x - 2)}^{2}$
234621	Graph	y=1/2csc(2x)	$y = \frac{1}{2} \csc (2 x)$
234622	Solve Using the Quadratic Formula	1/2w^2-2/3=5/6w	$\frac{1}{2} w^{2} - \frac{2}{3} = \frac{5}{6} w$
234623	Simplify	((-3a^-5c^4d^5)/(a^5c^-4d^9))^-3	${(\frac{- 3 a^{- 5} c^{4} d^{5}}{a^{5} c^{- 4} d^{9}})}^{- 3}$
234624	Solve for x	4x-10=x+3x-2x	$4 x - 10 = x + 3 x - 2 x$
234625	Solve for k	square root of 9k-9 = square root of 6k+18	$\sqrt{9 k - 9} = \sqrt{6 k + 18}$
234626	Expand the Logarithmic Expression	natural log of ((2x)/(y^3))^4	$\ln ({(\frac{2 x}{y^{3}})}^{4})$
234627	Solve the System of Inequalities	x<2 and x>-5	$x < 2$ and $x > - 5$
234628	Solve for x	(4^x)^(x-3)=256	${(4^{x})}^{x - 3} = 256$
234629	Solve for m	-2\|m-2\|=-6	$- 2 \| m - 2 \| = - 6$
234630	Solve the Inequality for w	-8w+4>=12	$- 8 w + 4 \geq 12$
234631	Graph	f(x)=(-3x^2+21x-36)/(5x-20)	$f (x) = \frac{- 3 x^{2} + 21 x - 36}{5 x - 20}$
234632	Factor	(2x+3)^2-12x-18	${(2 x + 3)}^{2} - 12 x - 18$
234633	Solve the System of Inequalities	2x+1>9 or x-4<6	$2 x + 1 > 9$ or $x - 4 < 6$
234634	Find g(h(x))	g(x)=x-6 h(x)=x+6	$g (x) = x - 6$ $h (x) = x + 6$
234635	Find the Domain and Range	y=1/2 square root of x-2	$y = \frac{1}{2} \sqrt{x - 2}$
234636	Solve for x	7^(x^2)=49^(x+4)	$7^{x^{2}} = 49^{x + 4}$
234637	Write as a Single Logarithm	log of 80-2* log of 4	$\log (80) - 2 \cdot \log (4)$
234638	Find the Reciprocal	3-1/5	$3 - \frac{1}{5}$
234639	Simplify	6a(2a-b)+2a(-4a+5b)	$6 a (2 a - b) + 2 a (- 4 a + 5 b)$
234640	Simplify	(10/(4x-8))÷((2x^2+6x)/(x^2+x-6))	$\frac{10}{4 x - 8} \div \frac{2 x^{2} + 6 x}{x^{2} + x - 6}$
234641	Factor	4x^2y+8x^2-12x^4y	$4 x^{2} y + 8 x^{2} - 12 x^{4} y$
234642	Solve for y	10-4(3-2y)=8y-5	$10 - 4 (3 - 2 y) = 8 y - 5$
234643	Evaluate the Function	f(-2)=1/(x+2)	$f (- 2) = \frac{1}{x + 2}$
234644	Solve by Substitution	2y=6x+10 3x-y=5	$2 y = 6 x + 10$ $3 x - y = 5$
234645	Solve for v	16v-5v+18=3v-14	$16 v - 5 v + 18 = 3 v - 14$
234646	Solve the System of Equations	y=2x-1 2x-y-1=0	$y = 2 x - 1$ $2 x - y - 1 = 0$
234647	Simplify the Radical Expression	4/(i square root of 2)	$\frac{4}{i \sqrt{2}}$
234648	Solve the Rational Equation for x	(x-5)^(2/3)=4	${(x - 5)}^{\frac{2}{3}} = 4$
234649	Divide	(-1/6)÷(1/3)	$\frac{- 1}{6} \div \frac{1}{3}$
234650	Simplify	square root of 32/( square root of 2)	$\sqrt{\frac{32}{\sqrt{2}}}$
234651	Find the Domain and Range	y=(2x)/((x-2)(x+1))	$y = \frac{2 x}{(x - 2) (x + 1)}$
234652	Write in Standard Form	(x^2-4x+2)(-x^2-4x-4)	$(x^{2} - 4 x + 2) (- x^{2} - 4 x - 4)$
234653	Evaluate	square root of (1+cos(80 degrees ))/2	$\sqrt{\frac{1 + \cos (80 °)}{2}}$
234654	Divide Using Synthetic Division	(x^4+8x^3-3x^2-24x)÷(x-3)	$(x^{4} + 8 x^{3} - 3 x^{2} - 24 x) \div (x - 3)$
234655	Simplify	fifth root of -243/32	$\sqrt[5]{\frac{- 243}{32}}$
234656	Evaluate	-( square root of 3)/4-( square root of 3)/4	$- \frac{\sqrt{3}}{4} - \frac{\sqrt{3}}{4}$
234657	Simplify	(64/x)^(2/3)	${(\frac{64}{x})}^{\frac{2}{3}}$
234658	Evaluate	((3pi)/4)	$(\frac{3 π}{4})$
234659	Subtract	(3x)/5-(2x)/9	$\frac{3 x}{5} - \frac{2 x}{9}$
234660	Simplify	( square root of x^2-1)^2	${(\sqrt{x^{2} - 1})}^{2}$
234661	Evaluate	(1-cos(x))^2	${(1 - \cos (x))}^{2}$
234662	Evaluate	1/2(1-0.82)	$\frac{1}{2} (1 - 0.82)$
234663	Simplify	(6*10^5)^2	${(6 \cdot 10^{5})}^{2}$
234664	Solve the System of Equations	2y=x+3 5y=x-7	$2 y = x + 3$ $5 y = x - 7$
234665	Solve the Inequality for x	x^2-2<7/2x	$x^{2} - 2 < \frac{7}{2} x$
234666	Evaluate	15% of 120	$15 %$ of $120$
234667	Solve for b	r=(b-8)m	$r = (b - 8) m$
234668	Solve for x	9/(x^2-3x+2)-1/(x-2)=(x+5)/(3x-3)	$\frac{9}{x^{2} - 3 x + 2} - \frac{1}{x - 2} = \frac{x + 5}{3 x - 3}$
234669	Solve for x	x-1/x=5	$x - \frac{1}{x} = 5$
234670	Simplify	(5-2yi)(1-5i)-(5-2yi)(1-i)	$(5 - 2 y i) (1 - 5 i) - (5 - 2 y i) (1 - i)$
234671	Subtract	3/(x-1)-2/x	$\frac{3}{x - 1} - \frac{2}{x}$
234672	Solve the System of Inequalities	3t-15<-3 and -4t<12	$3 t - 15 < - 3$ and $- 4 t < 12$
234673	Graph	x>y^2	$x > y^{2}$
234674	Solve for x	9^(3-2x)=(1/3)^x*27^(x+1)	$9^{3 - 2 x} = {(\frac{1}{3})}^{x} \cdot 27^{x + 1}$
234675	Find the Parabola with Vertex (-2,4) and Directrix x=-1	The vertex is (-2,4) ; the directrix is x=-1	The vertex is $(- 2, 4)$ ; the directrix is $x = - 1$
234676	Simplify	(2-3/2)/(1/2)	$\frac{2 - \frac{3}{2}}{\frac{1}{2}}$
234677	Simplify	7x-(2(x^2-z)+4x^2-7z)+6z^2	$7 x - (2 (x^{2} - z) + 4 x^{2} - 7 z) + 6 z^{2}$
234678	Solve the Inequality for x	-3x^4-20x^3+7x^2<=0	$- 3 x^{4} - 20 x^{3} + 7 x^{2} \leq 0$
234679	Simplify	2x-1/2x	$2 x - \frac{1}{2} x$
234680	Simplify	square root of 5x^2* square root of 12x^3	$\sqrt{5 x^{2}} \cdot \sqrt{12 x^{3}}$
234681	Divide Using Long Polynomial Division	Use the long division method to find the result when 8x^3+18x^2+19x-6 is divided by 4x-1	Use the long division method to find the result when $8 x^{3} + 18 x^{2} + 19 x - 6$ is divided by $4 x - 1$
234682	Solve the System of Inequalities	-6x>-18 and 1<=2x+5	$- 6 x > - 18$ and $1 \leq 2 x + 5$
234683	Evaluate	c(4)^3-15*4-68	$c {(4)}^{3} - 15 \cdot 4 - 68$
234684	Evaluate	sin(x)+1=0	$\sin (x) + 1 = 0$
234685	Find the Excluded Values	1/(x+1)+3=7/(x+1)	$\frac{1}{x + 1} + 3 = \frac{7}{x + 1}$
234686	Determine if Dependent, Independent, or Inconsistent	4x=2y-6 y+4x=3	$4 x = 2 y - 6$ $y + 4 x = 3$
234687	Write the Fraction in Simplest Form	2/3*9/10	$\frac{2}{3} \cdot \frac{9}{10}$
234688	Graph	\|x-5\|<-1	$\| x - 5 \| < - 1$
234689	Simplify	((5x^13y^5z^2)/(3*5^2))	$(\frac{5 x^{13} y^{5} z^{2}}{3 \cdot 5^{2}})$
234690	Solve the Inequality for x	(3x-4)/3<x	$\frac{3 x - 4}{3} < x$
234691	Simplify	((3e^3)/(6e^2))^2	${(\frac{3 e^{3}}{6 e^{2}})}^{2}$
234692	Simplify the Radical Expression	- square root of 81+ square root of -49+ square root of 25+ square root of -1	$- \sqrt{81} + \sqrt{- 49} + \sqrt{25} + \sqrt{- 1}$
234693	Simplify	(21x^5y^12)/((3x^-2y^7)^2)	$\frac{21 x^{5} y^{12}}{{(3 x^{- 2} y^{7})}^{2}}$
234694	Graph	x-4>=4 and 6>=x-4	$x - 4 \geq 4$ and $6 \geq x - 4$
234695	Find the Roots (Zeros)	(x^2-7x-18)/(x+2)=x-9	$\frac{x^{2} - 7 x - 18}{x + 2} = x - 9$
234696	Graph	f(x)=x/x	$f (x) = \frac{x}{x}$
234697	Evaluate	(x^-6y^-1y)/(x^2)	$\frac{x^{- 6} y^{- 1} y}{x^{2}}$
234698	Solve by Substitution	2x+4y=28 -2y=x+28	$2 x + 4 y = 28$ $- 2 y = x + 28$
234699	Graph	f(x)=3 if X<2; X-1 if X>=2	$f (x) = {\begin{cases} 3 & X < 2 \\ X - 1 & X \geq 2 \end{cases}$
234700	Simplify	8(7g)+8g	$8 (7 g) + 8 g$