Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218601	Solve for z	4/15z+5/6z+1/2=1 3/5	$\frac{4}{15} z + \frac{5}{6} z + \frac{1}{2} = 1 \frac{3}{5}$
218602	Simplify the Radical Expression	1/( cube root of 2)	$\frac{1}{\sqrt[3]{2}}$
218603	Graph	x-y>=0 4x+3y<18	$x - y \geq 0$ $4 x + 3 y < 18$
218604	Graph Using a Table of Values	f(x)=1/2*3^x	$f (x) = \frac{1}{2} \cdot 3^{x}$
218605	Graph	f(x)=-2x-5 g(x)=x-1	$f (x) = - 2 x - 5$ $g (x) = x - 1$
218606	Simplify the Radical Expression	square root of 16xy	$\sqrt{16 x y}$
218607	Subtract	2-2/6	$2 - \frac{2}{6}$
218608	Simplify	4 square root of 2-10 square root of 2+11 square root of 2-20 square root of 2	$4 \sqrt{2} - 10 \sqrt{2} + 11 \sqrt{2} - 20 \sqrt{2}$
218609	Solve for x	(3x^2+4)/(4x^2-25)-2/(2x-5)=x/(2x+5)	$\frac{3 x^{2} + 4}{4 x^{2} - 25} - \frac{2}{2 x - 5} = \frac{x}{2 x + 5}$
218610	Evaluate	4 1/3-(-2/3)	$4 \frac{1}{3} - (- \frac{2}{3})$
218611	Convert to Radical Form	(5x)^(-1/2)	${(5 x)}^{\frac{- 1}{2}}$
218612	Solve for x	3 square root of 2x-4 square root of 2x=24-3 square root of 2x	$3 \sqrt{2 x} - 4 \sqrt{2 x} = 24 - 3 \sqrt{2 x}$
218613	Simplify	(2x)^4*(2x)	${(2 x)}^{4} \cdot (2 x)$
218614	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+3x^2-19x-18 is divided by x+2	Use synthetic division to find the result when $4 x^{3} + 3 x^{2} - 19 x - 18$ is divided by $x + 2$
218615	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-1) and has a slope of 1/5 ?	What is the equation of the line that passes through the point $(5, - 1)$ and has a slope of $\frac{1}{5}$ ?
218616	Solve for x	64=-6(7x-8)-8(-2+8x)	$64 = - 6 (7 x - 8) - 8 (- 2 + 8 x)$
218617	Graph	-3x-3y>=-18 -x<=-y	$- 3 x - 3 y \geq - 18$ $- x \leq - y$
218618	Find the LCD	4/(-9x)-3/7	$\frac{4}{- 9 x} - \frac{3}{7}$
218619	Write in Slope-Intercept Form	y-3=2x	$y - 3 = 2 x$
218620	Solve for r	(-2,8) , (r,4) , m=-1/2	$(- 2, 8)$ , $(r, 4)$ , $m = - \frac{1}{2}$
218621	Evaluate	cos(x)^2-1	$\cos^{2} (x) - 1$
218622	Simplify	(3x^2-6x)/(4-x^2)*(3x^2+5x-2)/(27x^2-3)	$\frac{3 x^{2} - 6 x}{4 - x^{2}} \cdot \frac{3 x^{2} + 5 x - 2}{27 x^{2} - 3}$
218623	Simplify	5*5^2	$5 \times 5^{2}$
218624	Solve for r	M=pir^2hd ; for r	$M = π r^{2} h d$ ; for $r$
218625	Find the Exact Value	sin(45)^2+cos(30)^2	$\sin^{2} (45) + \cos^{2} (30)$
218626	Simplify	12+x-2+x+3x	$12 + x - 2 + x + 3 x$
218627	Solve for x	(r^(-5x^2-28))(r^9)=(r^(4x^2))/(r^100)	$(r^{- 5 x^{2} - 28}) (r^{9}) = \frac{r^{4 x^{2}}}{r^{100}}$
218628	Subtract	6x^2+10x-1 and -5x^2-2x+1	$6 x^{2} + 10 x - 1$ and $- 5 x^{2} - 2 x + 1$
218629	Graph	y=x^2 , x=y^2	$y = x^{2}$ , $x = y^{2}$
218630	Simplify	(2x cube root of 2)/( cube root of 4x^2)	$\frac{2 x \sqrt[3]{2}}{\sqrt[3]{4 x^{2}}}$
218631	Simplify	(-2u)(u^2v)(4u^3v^3)	$(- 2 u) (u^{2} v) (4 u^{3} v^{3})$
218632	Simplify	( fourth root of 16x^5y^4)/(5x^(1/4)y^(5/3))	$\frac{\sqrt[4]{16 x^{5} y^{4}}}{5 x^{\frac{1}{4}} y^{\frac{5}{3}}}$
218633	Simplify	5e+7e-10e+9e	$5 e + 7 e - 10 e + 9 e$
218634	Evaluate	(x^5y^2)/(xy^2)	$\frac{x^{5} y^{2}}{x y^{2}}$
218635	Find the Product	(4x-6y^3)^2	${(4 x - 6 y^{3})}^{2}$
218636	Simplify	((18x^8)/(2x^6))^(1/2)	${(\frac{18 x^{8}}{2 x^{6}})}^{\frac{1}{2}}$
218637	Simplify	(-5x-10x+20)/-5	$\frac{- 5 x - 10 x + 20}{- 5}$
218638	Find the Product	(p^3)(2p^2-4p)(3p^2-1)	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$
218639	Find the LCM	9x^2-12x+4 and 9x^2-4	$9 x^{2} - 12 x + 4$ and $9 x^{2} - 4$
218640	Subtract	(5x^4-4x^3-3x-4)-(2x-6x^3-2x^4)	$(5 x^{4} - 4 x^{3} - 3 x - 4) - (2 x - 6 x^{3} - 2 x^{4})$
218641	Graph	f(x)=(2x+8)/(3x+12)	$f (x) = \frac{2 x + 8}{3 x + 12}$
218642	Find the Parabola with Focus (1,4) and Directrix x=5	(1,4) x=5	$(1, 4)$ $x = 5$
218643	Find the Remainder	x^3-a^3 divided by x-a	$x^{3} - a^{3}$ divided by $x - a$
218644	Solve for x	10x-3+x<30	$10 x - 3 + x < 30$
218645	Graph	x-y=2 x=-2	$x - y = 2$ $x = - 2$
218646	Find the Roots (Zeros)	f(x)=(3x^2+x-4)/(x-1)	$f (x) = \frac{3 x^{2} + x - 4}{x - 1}$
218647	Graph Using a Table of Values	f(x)=-2(2)^(x+5)-8	$f (x) = - 2 {(2)}^{x + 5} - 8$
218648	Solve for x	2x+x+(2x-3)+2x+(x-1)=76	$2 x + x + (2 x - 3) + 2 x + (x - 1) = 76$
218649	Solve for x	4/6(x+1/2+4)=1/6(x+2)	$\frac{4}{6} (x + \frac{1}{2} + 4) = \frac{1}{6} (x + 2)$
218650	Solve for d	144d^2-96d=-16	$144 d^{2} - 96 d = - 16$
218651	Solve the System of Equations	6x-2y+z=-2 2x+3y-3z=11 x+6y=31	$6 x - 2 y + z = - 2$ $2 x + 3 y - 3 z = 11$ $x + 6 y = 31$
218652	Solve the Inequality for c	4.3-1.5c<=10	$4.3 - 1.5 c \leq 10$
218653	Find the Degree	ab-4a+6	$a b - 4 a + 6$
218654	Solve for x	x/12=17/3-(2x)/9-5+(3x)/12	$\frac{x}{12} = \frac{17}{3} - \frac{2 x}{9} - 5 + \frac{3 x}{12}$
218655	Simplify	( square root of 72+6)/( square root of 2)	$\frac{\sqrt{72} + 6}{\sqrt{2}}$
218656	Simplify the Radical Expression	( square root of x+ square root of y)÷( square root of xy)	$(\sqrt{x} + \sqrt{y}) \div \sqrt{x y}$
218657	Solve for x	1/(5x)+(x+4)/x=6/5	$\frac{1}{5 x} + \frac{x + 4}{x} = \frac{6}{5}$
218658	Find the Quotient	x^3-a^3 divided by x-a	$x^{3} - a^{3}$ divided by $x - a$
218659	Evaluate	1/(( square root of 6)/3)	$\frac{1}{\frac{\sqrt{6}}{3}}$
218660	Graph	y=(x-2)(x+7)^3	$y = (x - 2) {(x + 7)}^{3}$
218661	Factor	3x^3-nx^2+12xy^2+3xz-nz-4ny^2	$3 x^{3} - n x^{2} + 12 x y^{2} + 3 x z - n z - 4 n y^{2}$
218662	Solve for x	sin(2x)-tan(x)=0	$\sin (2 x) - \tan (x) = 0$
218663	Evaluate	10*2^(120/12)	$10 \cdot 2^{\frac{120}{12}}$
218664	Solve for x	8 square root of 10x-7=9	$8 \sqrt{10 x} - 7 = 9$
218665	Simplify	( fourth root of 2)/( fourth root of 4x^2)	$\frac{\sqrt[4]{2}}{\sqrt[4]{4 x^{2}}}$
218666	Find the Exact Value	arcos (-1)	arcos $(- 1)$
218667	Solve the System of Equations	-x+2y=-3 and -8x-3y=-5	$- x + 2 y = - 3$ and $- 8 x - 3 y = - 5$
218668	Solve the System of Equations	What is the solution to the system of equations y=-3x^2+2 and y=3 ?	What is the solution to the system of equations $y = - 3 x^{2} + 2$ and $y = 3$ ?
218669	Evaluate	csc(240)	$\csc (240)$
218670	Graph	30+5y>=4x	$30 + 5 y \geq 4 x$
218671	Solve for n	log base 7 of n=2/3 log base 7 of 8	$\log_{7} (n) = \frac{2}{3} \log_{7} (8)$
218672	Find the Domain and Range	f(x)=- cube root of 4x	$f (x) = - \sqrt[3]{4 x}$
218673	Simplify	(9x^5y^-2z^0)/(3x^3yz^-1)	$\frac{9 x^{5} y^{- 2} z^{0}}{3 x^{3} y z^{- 1}}$
218674	Evaluate	( fourth root of m+ fourth root of n)/( fourth root of m- fourth root of n)=7/3	$\frac{\sqrt[4]{m} + \sqrt[4]{n}}{\sqrt[4]{m} - \sqrt[4]{n}} = \frac{7}{3}$
218675	Simplify	square root of 4	square root of $4$
218676	Divide	(-4c^12d^5)/(20c^4d)	$\frac{- 4 c^{12} d^{5}}{20 c^{4} d}$
218677	Simplify	(2n^2p^(-2/5))^5	${(2 n^{2} p^{- \frac{2}{5}})}^{5}$
218678	Solve for n	n+1>4	$n + 1 > 4$
218679	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+11x^3-24x^2-15x+25 is divided by x+5	Use synthetic division to find the result when $3 x^{4} + 11 x^{3} - 24 x^{2} - 15 x + 25$ is divided by $x + 5$
218680	Solve the Inequality for n	n-3+4>7	$n - 3 + 4 > 7$
218681	Simplify	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
218682	Simplify	(12x^-5y^9)/(2x^-10y^m)	$\frac{12 x^{- 5} y^{9}}{2 x^{- 10} y^{m}}$
218683	Multiply	(x+5)(2-x)	$(x + 5) (2 - x)$
218684	Simplify	12(2+7+1)	$12 (2 + 7 + 1)$
218685	Evaluate	-i*i	$- i \cdot i$
218686	Solve for X	X^(2/3)=0	$X^{\frac{2}{3}} = 0$
218687	Simplify	-3/4+1/2	$- \frac{3}{4} + \frac{1}{2}$
218688	Find the Roots (Zeros)	y=2sin(4x)	$y = 2 \sin (4 x)$
218689	Solve the Rational Equation for x	-9+x/(x-7)=7/(x-7)	$- 9 + \frac{x}{x - 7} = \frac{7}{x - 7}$
218690	Find the Inverse	f(x)=x+ square root of x	$f (x) = x + \sqrt{x}$
218691	Rationalize the Denominator	b/( square root of 4b^5)	$\frac{b}{\sqrt{4 b^{5}}}$
218692	Solve by Addition/Elimination	5x-9y=6 -(5x+2y)=(17)	$5 x - 9 y = 6$ $- (5 x + 2 y) = (17)$
218693	Evaluate	5/9(25-32)	$\frac{5}{9} (25 - 32)$
218694	Find the x and y Intercepts	f(x)=(x^2+x-2)/((x+2)(x^2-2x-15))	$f (x) = \frac{x^{2} + x - 2}{(x + 2) (x^{2} - 2 x - 15)}$
218695	Solve the Inequality for x	(x-2)(x+3)^2(x^2+4)>=0	$(x - 2) {(x + 3)}^{2} (x^{2} + 4) \geq 0$
218696	Graph	y>=3 2x+y<-1	$y \geq 3$ $2 x + y < - 1$
218697	Convert to Radical Form	(x^(4/3)x^(2/3))^(1/3)	${(x^{\frac{4}{3}} x^{\frac{2}{3}})}^{\frac{1}{3}}$
218698	Factor	x^4+x^3-4x^2-4x	$x^{4} + x^{3} - 4 x^{2} - 4 x$
218699	Simplify	24x2y	$2 \cdot 4 x \cdot 2 y$
218700	Evaluate	x(-1)	$x (- 1)$