Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
27401	Convert to Interval Notation	-x+5<=4 and 2x+3>=-1	$- x + 5 \leq 4$ and $2 x + 3 \geq - 1$
27402	Graph	-4>=-2x>-12	$- 4 \geq - 2 x > - 12$
27403	Graph	x^2+y^2=x	$x^{2} + y^{2} = x$
27404	Simplify	1/2g^2+7/2+3g^2-4/5g+1/4	$\frac{1}{2} g^{2} + \frac{7}{2} + 3 g^{2} - \frac{4}{5} g + \frac{1}{4}$
27405	Simplify	fourth root of 16x^2y^6* square root of 28x^10y^22	$\sqrt[4]{16 x^{2} y^{6}} \cdot \sqrt{28 x^{10} y^{22}}$
27406	Solve for x	(x-2)/5=2/3-(3x-2)/6	$\frac{x - 2}{5} = \frac{2}{3} - \frac{3 x - 2}{6}$
27407	Solve for x	-12x+26=-(1/5)^(-x+2)+3	$- 12 x + 26 = - {(\frac{1}{5})}^{- x + 2} + 3$
27408	Evaluate	pi(243/5-486/3+243)	$π (\frac{243}{5} - \frac{486}{3} + 243)$
27409	Simplify	-( square root of 2)/2-( square root of 2)/2	$- \frac{\sqrt{2}}{2} - \frac{\sqrt{2}}{2}$
27410	Simplify	3/(5x^3)+1/2	$\frac{3}{5 x^{3}} + \frac{1}{2}$
27411	Find dy/dx	x^2+y^2=x	$x^{2} + y^{2} = x$
27412	Graph	(1-x)^(-)*1	${(1 - x)}^{-} \cdot 1$
27413	Find the Roots (Zeros)	square root of -0.25	$\sqrt{- 0.25}$
27414	Simplify the Radical Expression	(3 square root of 2)( square root of 6)	$(3 \sqrt{2}) (\sqrt{6})$
27415	Evaluate	2*(1/3)^1	$2 \cdot {(\frac{1}{3})}^{1}$
27416	Solve for k	3k(k+10)=0	$3 k (k + 10) = 0$
27417	Solve the Inequality for x	5x^2+14<-31x+8	$5 x^{2} + 14 < - 31 x + 8$
27418	Evaluate	tan((2pi)/3)^2-sec((2pi)/3)^2	$\tan^{2} (\frac{2 π}{3}) - \sec^{2} (\frac{2 π}{3})$
27419	Find the Maximum/Minimum Value	x^5(x+1)(x-1)	$x^{5} (x + 1) (x - 1)$
27420	Find the Derivative - d/dx	y=e^x+e^(-x)	$y = e^{x} + e^{- x}$
27421	Solve for y	1/2(4-14y)=y+50	$\frac{1}{2} (4 - 14 y) = y + 50$
27422	Simplify the Radical Expression	1/( square root of x^5)	$\frac{1}{\sqrt{x^{5}}}$
27423	Solve the Rational Equation for x	3/(x-1)=4/(2x+3)	$\frac{3}{x - 1} = \frac{4}{2 x + 3}$
27424	Solve for n	-5n<=15	$- 5 n \leq 15$
27425	Find f(g(x))	f(x)=x+2 g(x)=3x-1	$f (x) = x + 2$ $g (x) = 3 x - 1$
27426	Simplify the Radical Expression	cube root of square root of 64a^10b^34	$\sqrt[3]{\sqrt{64 a^{10} b^{34}}}$
27427	Find the Product	(a^x-b^y)(a^x+b^y)	$(a^{x} - b^{y}) (a^{x} + b^{y})$
27428	Evaluate the Limit	limit as x approaches 1/2 of (2-4x)/(8-64x^3)	$lim_{x \to \frac{1}{2}} \frac{2 - 4 x}{8 - 64 x^{3}}$
27429	Solve for x	2+2cos(x)=0	$2 + 2 \cos (x) = 0$
27430	Find the Product	(x-3)/(x+5)*(3x)/(x-5)	$\frac{x - 3}{x + 5} \cdot \frac{3 x}{x - 5}$
27431	Solve the Inequality for b	8<=4-2b<10	$8 \leq 4 - 2 b < 10$
27432	Find the Excluded Values	(2x^2-5x-16)/(x^2-x-20)-x/(x+4)	$\frac{2 x^{2} - 5 x - 16}{x^{2} - x - 20} - \frac{x}{x + 4}$
27433	Simplify	2 natural log of 2	$2 \ln (2)$
27434	Graph	2 cube root of x+2+4	$2 \sqrt[3]{x + 2 + 4}$
27435	Solve the Function Operation	f(x)=2x^3-5x^2 g(x)=2x-1 Find (f*g)(x)	$f (x) = 2 x^{3} - 5 x^{2}$ $g (x) = 2 x - 1$ Find $(f \cdot g) (x)$
27436	Find the Derivative - d/dx	natural log of (e^(x^3))/(x^4-7x+1)	$\ln (\frac{e^{x^{3}}}{x^{4} - 7 x + 1})$
27437	Evaluate the Limit	limit as x approaches negative infinity of ( square root of 25x^2-7)/(x+2) is	$lim_{x \to - \infty} \frac{\sqrt{25 x^{2} - 7}}{x + 2}$ is
27438	Write in Exponential Form	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
27439	Evaluate	(2pi)/(-pi/2)	$\frac{2 π}{- \frac{π}{2}}$
27440	Solve for r	2710=1/2(1.047198)r^2	$2710 = \frac{1}{2} (1.047198) r^{2}$
27441	Graph	x=y-y^3	$x = y - y^{3}$
27442	Solve for b	r=(b-5)m	$r = (b - 5) m$
27443	Solve for x	-8/(3x)-5/(6x)=2	$- \frac{8}{3 x} - \frac{5}{6 x} = 2$
27444	Solve for y	w=z/(3y-x) ; solve for y	$w = \frac{z}{3 y - x}$ ; solve for $y$
27445	Simplify	(3^(1/3))/(3^(-2/3))	$\frac{3^{\frac{1}{3}}}{3^{- \frac{2}{3}}}$
27446	Simplify	(20a^2-100a)/(a-1)*1/(16a^3-80a^2)	$\frac{20 a^{2} - 100 a}{a - 1} \cdot \frac{1}{16 a^{3} - 80 a^{2}}$
27447	Find the Maximum/Minimum Value	h(t)=60-55sin(pi/10t+pi/2)	$h (t) = 60 - 55 \sin (\frac{π}{10} t + \frac{π}{2})$
27448	Simplify	9/(cd)+5/c	$\frac{9}{c d} + \frac{5}{c}$
27449	Factor	((x+2)^5-32)/x	$\frac{{(x + 2)}^{5} - 32}{x}$
27450	Integrate Using u-Substitution	integral of (x^3)/((1+x^4)^2) with respect to x	$\int \frac{x^{3}}{{(1 + x^{4})}^{2}} d x$
27451	Find the Roots (Zeros)	(2x+1)	$(2 x + 1)$
27452	Simplify	3(x^2-2x+3)-4(4x+1)-(3x^2-2x)	$3 (x^{2} - 2 x + 3) - 4 (4 x + 1) - (3 x^{2} - 2 x)$
27453	Evaluate the Limit	limit as x approaches infinity of ((x+1)/(x-1))^x	$lim_{x \to \infty} {(\frac{x + 1}{x - 1})}^{x}$
27454	Evaluate	g(2+h)=x^3	$g (2 + h) = x^{3}$
27455	Simplify	( fourth root of a^8b^10)/( fourth root of b^6)	$\frac{\sqrt[4]{a^{8} b^{10}}}{\sqrt[4]{b^{6}}}$
27456	Solve the Inequality for x	6x-20>3(2-x)+6x-2	$6 x - 20 > 3 (2 - x) + 6 x - 2$
27457	Integrate Using u-Substitution	integral of x square root of x-2 with respect to x	$\int x \sqrt{x - 2} d x$
27458	Find the Antiderivative	11*4x^3	$11 \cdot 4 x^{3}$
27459	Find Amplitude, Period, and Phase Shift	y=3sin(pix-1/2)	$y = 3 \sin (π x - \frac{1}{2})$
27460	Simplify	(2^-1x^-3y^-3)^5	${(2^{- 1} x^{- 3} y^{- 3})}^{5}$
27461	Solve the Absolute Value Inequality for x	(\|2x-3\|)/5>3	$\frac{\| 2 x - 3 \|}{5} > 3$
27462	Evaluate	7^(3/5)*7^(1/5)	$7^{\frac{3}{5}} \cdot 7^{\frac{1}{5}}$
27463	Simplify	2/3p+4/3p-1/3p	$\frac{2}{3} p + \frac{4}{3} p - \frac{1}{3} p$
27464	Solve for x	(3(2x+3))/13=2x-7	$\frac{3 (2 x + 3)}{13} = 2 x - 7$
27465	Divide Using Long Polynomial Division	(3x^5+17x^4-51x^2+3x+40)/(x+5)	$\frac{3 x^{5} + 17 x^{4} - 51 x^{2} + 3 x + 40}{x + 5}$
27466	Simplify	(x^2+2x-3)/(x^2)*(x^3+x^2)/(x+3)	$\frac{x^{2} + 2 x - 3}{x^{2}} \cdot \frac{x^{3} + x^{2}}{x + 3}$
27467	Convert to Radical Form	(6x^3y^3)1/5	$(6 x^{3} y^{3}) \frac{1}{5}$
27468	Find the Cosecant Given the Point	((3 square root of 13)/13,-(2 square root of 13)/13)	$(\frac{3 \sqrt{13}}{13}, - \frac{2 \sqrt{13}}{13})$
27469	Solve for x	5x^2=3x^2+24	$5 x^{2} = 3 x^{2} + 24$
27470	Solve for x	1/x+1/(5x)=1/(15a)	$\frac{1}{x} + \frac{1}{5 x} = \frac{1}{15 a}$
27471	Simplify the Radical Expression	fourth root of 8* fourth root of 2	$\sqrt[4]{8} \cdot \sqrt[4]{2}$
27472	Solve for p	square root of 3p+7=-5	$\sqrt{3 p + 7} = - 5$
27473	Simplify	(2 square root of 3x)/( square root of x)	$\frac{2 \sqrt{3 x}}{\sqrt{x}}$
27474	Find the Second Term	a_n=4(4)^n	$a_{n} = 4 {(4)}^{n}$
27475	Graph	Graph the line with the equation y=6/5x-2	Graph the line with the equation $y = \frac{6}{5} x - 2$
27476	Evaluate	(x+2)^2+4(x+2)+3	${(x + 2)}^{2} + 4 (x + 2) + 3$
27477	Solve for q	270=10q^3	$270 = 10 q^{3}$
27478	Multiply	x*x/2	$x \cdot \frac{x}{2}$
27479	Find the Roots (Zeros)	(x-5)*2(x+2)=0	$(x - 5) \cdot 2 (x + 2) = 0$
27480	Evaluate	1/2(3)(2)^2	$\frac{1}{2} (3) {(2)}^{2}$
27481	Solve by Substitution	1/2x-1/3y=5 x=2/3y+10	$\frac{1}{2} x - \frac{1}{3} y = 5$ $x = \frac{2}{3} y + 10$
27482	Multiply	(x^2-6x+9)/(12-4x)*(x^6-9x^4)/(x^3-3x^2)	$\frac{x^{2} - 6 x + 9}{12 - 4 x} \cdot \frac{x^{6} - 9 x^{4}}{x^{3} - 3 x^{2}}$
27483	Simplify	2a+2-3a-5+a-4+7a	$2 a + 2 - 3 a - 5 + a - 4 + 7 a$
27484	Write the Fraction in Simplest Form	(6^-4*8^-7)^-9	${(6^{- 4} \cdot 8^{- 7})}^{- 9}$
27485	Write in Standard Form	2x^2+y^2-8=0	$2 x^{2} + y^{2} - 8 = 0$
27486	Evaluate the Integral	integral of x^5e^(1-x^6) with respect to x	$\int x^{5} e^{1 - x^{6}} d x$
27487	Write in Standard Form	y=(3x+1)(2x-7)	$y = (3 x + 1) (2 x - 7)$
27488	Solve the Inequality for y	-2/9+y<=5/9	$- \frac{2}{9} + y \leq \frac{5}{9}$
27489	Solve for p	2p=(-3p-6)/4	$2 p = \frac{- 3 p - 6}{4}$
27490	Solve for θ	2cos(theta)=- square root of 2	$2 \cos (θ) = - \sqrt{2}$
27491	Find the Symmetry	x^2+2y^2-8x+8y+23=0	$x^{2} + 2 y^{2} - 8 x + 8 y + 23 = 0$
27492	Solve the Function Operation	Given that f(x)=x^2+12x+32 and g(x)=x+4 ; find (f-g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 12 x + 32$ and $g (x) = x + 4$ ; find $(f - g) (x)$ and express the result in standard form.
27493	Write in Standard Form	(-4x^2+x)-(-8x^2-2x+6)	$(- 4 x^{2} + x) - (- 8 x^{2} - 2 x + 6)$
27494	Evaluate	((pi/2)^2)/2	$\frac{{(\frac{π}{2})}^{2}}{2}$
27495	Solve the Inequality for x	-x^2+6x+57>7x+1	$- x^{2} + 6 x + 57 > 7 x + 1$
27496	Find the Other Trig Values in Quadrant III	cos(theta)=0	$\cos (θ) = 0$
27497	Solve for y	bx-y=-2y	$b x - y = - 2 y$
27498	Solve for y	2/7*e^(6y-5)=14	$\frac{2}{7} \cdot e^{6 y - 5} = 14$
27499	Solve for x	1/7=49^(x-5)*7^(x-9)	$\frac{1}{7} = 49^{x - 5} \cdot 7^{x - 9}$
27500	Solve for x	9/(8x)-1=-7/8	$\frac{9}{8 x} - 1 = \frac{- 7}{8}$