Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218601	Solve the Inequality for x	-3/5x+1/5>7/20	$- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}$
218602	Solve for x	2e^x=3e^(-x)+5	$2 e^{x} = 3 e^{- x} + 5$
218603	Simplify the Radical Expression	( fifth root of -21)^6	${(\sqrt[5]{- 21})}^{6}$
218604	Divide Using Long Polynomial Division	((3x-1)/(6x^4+x^3+8x^2+9x-4))	$(\frac{3 x - 1}{6 x^{4} + x^{3} + 8 x^{2} + 9 x - 4})$
218605	Solve for m	4m+3-m=3(m+1)	$4 m + 3 - m = 3 (m + 1)$
218606	Simplify	6/(x-2)+(x+3)/(2-x)	$\frac{6}{x - 2} + \frac{x + 3}{2 - x}$
218607	Simplify	fifth root of u^11 fourth root of u^11	$\sqrt[5]{u^{11}} \sqrt[4]{u^{11}}$
218608	Find the Domain and Range	y=2arcsin(x)	$y = 2 \arcsin (x)$
218609	Find the Domain and Range	y=5/3sec(x)	$y = \frac{5}{3} \sec (x)$
218610	Multiply	22^22^2	$2 \cdot 2^{2} \cdot 2^{2}$
218611	Solve for h	9h-2<=10h-5	$9 h - 2 \leq 10 h - 5$
218612	Simplify	(2- square root of 6)/(2+ square root of 6)	$\frac{2 - \sqrt{6}}{2 + \sqrt{6}}$
218613	Simplify	(3x^2+2x+1)-(x^2+4x)	$(3 x^{2} + 2 x + 1) - (x^{2} + 4 x)$
218614	Simplify	-5*2^4+6÷2-4^2	$- 5 \cdot 2^{4} + 6 \div 2 - 4^{2}$
218615	Solve for u	-12+5(-2u-20)=3(u+19)	$- 12 + 5 (- 2 u - 20) = 3 (u + 19)$
218616	Solve for z	4/15z+5/6z+1/2=1 3/5	$\frac{4}{15} z + \frac{5}{6} z + \frac{1}{2} = 1 \frac{3}{5}$
218617	Simplify the Radical Expression	1/( cube root of 2)	$\frac{1}{\sqrt[3]{2}}$
218618	Graph	x-y>=0 4x+3y<18	$x - y \geq 0$ $4 x + 3 y < 18$
218619	Graph Using a Table of Values	f(x)=1/2*3^x	$f (x) = \frac{1}{2} \cdot 3^{x}$
218620	Graph	f(x)=-2x-5 g(x)=x-1	$f (x) = - 2 x - 5$ $g (x) = x - 1$
218621	Simplify the Radical Expression	square root of 16xy	$\sqrt{16 x y}$
218622	Subtract	2-2/6	$2 - \frac{2}{6}$
218623	Simplify	4 square root of 2-10 square root of 2+11 square root of 2-20 square root of 2	$4 \sqrt{2} - 10 \sqrt{2} + 11 \sqrt{2} - 20 \sqrt{2}$
218624	Solve for x	(3x^2+4)/(4x^2-25)-2/(2x-5)=x/(2x+5)	$\frac{3 x^{2} + 4}{4 x^{2} - 25} - \frac{2}{2 x - 5} = \frac{x}{2 x + 5}$
218625	Evaluate	4 1/3-(-2/3)	$4 \frac{1}{3} - (- \frac{2}{3})$
218626	Convert to Radical Form	(5x)^(-1/2)	${(5 x)}^{\frac{- 1}{2}}$
218627	Solve for x	3 square root of 2x-4 square root of 2x=24-3 square root of 2x	$3 \sqrt{2 x} - 4 \sqrt{2 x} = 24 - 3 \sqrt{2 x}$
218628	Simplify	(2x)^4*(2x)	${(2 x)}^{4} \cdot (2 x)$
218629	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 $x + 2$
218630	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 $\frac{1}{5}$ ?
218631	Solve for x	64=-6(7x-8)-8(-2+8x)	$64 = - 6 (7 x - 8) - 8 (- 2 + 8 x)$
218632	Graph	-3x-3y>=-18 -x<=-y	$- 3 x - 3 y \geq - 18$ $- x \leq - y$
218633	Find the LCD	4/(-9x)-3/7	$\frac{4}{- 9 x} - \frac{3}{7}$
218634	Write in Slope-Intercept Form	y-3=2x	$y - 3 = 2 x$
218635	Solve for r	(-2,8) , (r,4) , m=-1/2	$(- 2, 8)$ , $(r, 4)$ , $m = - \frac{1}{2}$
218636	Evaluate	cos(x)^2-1	$\cos^{2} (x) - 1$
218637	Simplify	(3x^2-6x)/(4-x^2)*(3x^2+5x-2)/(27x^2-3)	$\frac{3 x^{2} - 6 x}{4 - x^{2}} \cdot \frac{3 x^{2} + 5 x - 2}{27 x^{2} - 3}$
218638	Simplify	5*5^2	$5 \times 5^{2}$
218639	Solve for r	M=pir^2hd ; for r	$M = π r^{2} h d$ ; for $r$
218640	Find the Exact Value	sin(45)^2+cos(30)^2	$\sin^{2} (45) + \cos^{2} (30)$
218641	Simplify	12+x-2+x+3x	$12 + x - 2 + x + 3 x$
218642	Solve for x	(r^(-5x^2-28))(r^9)=(r^(4x^2))/(r^100)	$(r^{- 5 x^{2} - 28}) (r^{9}) = \frac{r^{4 x^{2}}}{r^{100}}$
218643	Subtract	6x^2+10x-1 and -5x^2-2x+1	$6 x^{2} + 10 x - 1$ and $- 5 x^{2} - 2 x + 1$
218644	Graph	y=x^2 , x=y^2	$y = x^{2}$ , $x = y^{2}$
218645	Simplify	(2x cube root of 2)/( cube root of 4x^2)	$\frac{2 x \sqrt[3]{2}}{\sqrt[3]{4 x^{2}}}$
218646	Simplify	(-2u)(u^2v)(4u^3v^3)	$(- 2 u) (u^{2} v) (4 u^{3} v^{3})$
218647	Simplify	( fourth root of 16x^5y^4)/(5x^(1/4)y^(5/3))	$\frac{\sqrt[4]{16 x^{5} y^{4}}}{5 x^{\frac{1}{4}} y^{\frac{5}{3}}}$
218648	Simplify	5e+7e-10e+9e	$5 e + 7 e - 10 e + 9 e$
218649	Evaluate	(x^5y^2)/(xy^2)	$\frac{x^{5} y^{2}}{x y^{2}}$
218650	Find the Product	(4x-6y^3)^2	${(4 x - 6 y^{3})}^{2}$
218651	Simplify	((18x^8)/(2x^6))^(1/2)	${(\frac{18 x^{8}}{2 x^{6}})}^{\frac{1}{2}}$
218652	Simplify	(-5x-10x+20)/-5	$\frac{- 5 x - 10 x + 20}{- 5}$
218653	Find the Product	(p^3)(2p^2-4p)(3p^2-1)	$(p^{3}) (2 p^{2} - 4 p) (3 p^{2} - 1)$
218654	Find the LCM	9x^2-12x+4 and 9x^2-4	$9 x^{2} - 12 x + 4$ and $9 x^{2} - 4$
218655	Subtract	(5x^4-4x^3-3x-4)-(2x-6x^3-2x^4)	$(5 x^{4} - 4 x^{3} - 3 x - 4) - (2 x - 6 x^{3} - 2 x^{4})$
218656	Graph	f(x)=(2x+8)/(3x+12)	$f (x) = \frac{2 x + 8}{3 x + 12}$
218657	Find the Parabola with Focus (1,4) and Directrix x=5	(1,4) x=5	$(1, 4)$ $x = 5$
218658	Find the Remainder	x^3-a^3 divided by x-a	$x^{3} - a^{3}$ divided by $x - a$
218659	Solve for x	10x-3+x<30	$10 x - 3 + x < 30$
218660	Graph	x-y=2 x=-2	$x - y = 2$ $x = - 2$
218661	Find the Roots (Zeros)	f(x)=(3x^2+x-4)/(x-1)	$f (x) = \frac{3 x^{2} + x - 4}{x - 1}$
218662	Graph Using a Table of Values	f(x)=-2(2)^(x+5)-8	$f (x) = - 2 {(2)}^{x + 5} - 8$
218663	Solve for x	2x+x+(2x-3)+2x+(x-1)=76	$2 x + x + (2 x - 3) + 2 x + (x - 1) = 76$
218664	Solve for x	4/6(x+1/2+4)=1/6(x+2)	$\frac{4}{6} (x + \frac{1}{2} + 4) = \frac{1}{6} (x + 2)$
218665	Solve for d	144d^2-96d=-16	$144 d^{2} - 96 d = - 16$
218666	Solve the System of Equations	6x-2y+z=-2 2x+3y-3z=11 x+6y=31	$6 x - 2 y + z = - 2$ $2 x + 3 y - 3 z = 11$ $x + 6 y = 31$
218667	Solve the Inequality for c	4.3-1.5c<=10	$4.3 - 1.5 c \leq 10$
218668	Find the Degree	ab-4a+6	$a b - 4 a + 6$
218669	Solve for x	x/12=17/3-(2x)/9-5+(3x)/12	$\frac{x}{12} = \frac{17}{3} - \frac{2 x}{9} - 5 + \frac{3 x}{12}$
218670	Simplify	( square root of 72+6)/( square root of 2)	$\frac{\sqrt{72} + 6}{\sqrt{2}}$
218671	Simplify the Radical Expression	( square root of x+ square root of y)÷( square root of xy)	$(\sqrt{x} + \sqrt{y}) \div \sqrt{x y}$
218672	Solve for x	1/(5x)+(x+4)/x=6/5	$\frac{1}{5 x} + \frac{x + 4}{x} = \frac{6}{5}$
218673	Find the Quotient	x^3-a^3 divided by x-a	$x^{3} - a^{3}$ divided by $x - a$
218674	Evaluate	1/(( square root of 6)/3)	$\frac{1}{\frac{\sqrt{6}}{3}}$
218675	Graph	y=(x-2)(x+7)^3	$y = (x - 2) {(x + 7)}^{3}$
218676	Factor	3x^3-nx^2+12xy^2+3xz-nz-4ny^2	$3 x^{3} - n x^{2} + 12 x y^{2} + 3 x z - n z - 4 n y^{2}$
218677	Solve for x	sin(2x)-tan(x)=0	$\sin (2 x) - \tan (x) = 0$
218678	Evaluate	10*2^(120/12)	$10 \cdot 2^{\frac{120}{12}}$
218679	Solve for x	8 square root of 10x-7=9	$8 \sqrt{10 x} - 7 = 9$
218680	Simplify	( fourth root of 2)/( fourth root of 4x^2)	$\frac{\sqrt[4]{2}}{\sqrt[4]{4 x^{2}}}$
218681	Find the Exact Value	arcos (-1)	arcos $(- 1)$
218682	Solve the System of Equations	-x+2y=-3 and -8x-3y=-5	$- x + 2 y = - 3$ and $- 8 x - 3 y = - 5$
218683	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 $y = 3$ ?
218684	Evaluate	csc(240)	$\csc (240)$
218685	Graph	30+5y>=4x	$30 + 5 y \geq 4 x$
218686	Solve for n	log base 7 of n=2/3 log base 7 of 8	$\log_{7} (n) = \frac{2}{3} \log_{7} (8)$
218687	Find the Domain and Range	f(x)=- cube root of 4x	$f (x) = - \sqrt[3]{4 x}$
218688	Simplify	(9x^5y^-2z^0)/(3x^3yz^-1)	$\frac{9 x^{5} y^{- 2} z^{0}}{3 x^{3} y z^{- 1}}$
218689	Evaluate	( fourth root of m+ fourth root of n)/( fourth root of m- fourth root of n)=7/3	$\frac{\sqrt[4]{m} + \sqrt[4]{n}}{\sqrt[4]{m} - \sqrt[4]{n}} = \frac{7}{3}$
218690	Simplify	square root of 4	square root of $4$
218691	Divide	(-4c^12d^5)/(20c^4d)	$\frac{- 4 c^{12} d^{5}}{20 c^{4} d}$
218692	Simplify	(2n^2p^(-2/5))^5	${(2 n^{2} p^{- \frac{2}{5}})}^{5}$
218693	Solve for n	n+1>4	$n + 1 > 4$
218694	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 $x + 5$
218695	Solve the Inequality for n	n-3+4>7	$n - 3 + 4 > 7$
218696	Simplify	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
218697	Simplify	(12x^-5y^9)/(2x^-10y^m)	$\frac{12 x^{- 5} y^{9}}{2 x^{- 10} y^{m}}$
218698	Multiply	(x+5)(2-x)	$(x + 5) (2 - x)$
218699	Simplify	12(2+7+1)	$12 (2 + 7 + 1)$
218700	Evaluate	-i*i	$- i \cdot i$