Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20501	Solve for x	y+15=x+6	$y + 15 = x + 6$
20502	Write in Standard Form	(3-2x+2x^2)-(4x-5+3x^2)	$(3 - 2 x + 2 x^{2}) - (4 x - 5 + 3 x^{2})$
20503	Evaluate the Function	g(2+h)=(2+h)^3	$g (2 + h) = {(2 + h)}^{3}$
20504	Simplify	((3x^2y)^3)/((2xy^2)^0)	$\frac{{(3 x^{2} y)}^{3}}{{(2 x y^{2})}^{0}}$
20505	Write in Standard Form	(5x^2+8x-10)+(-12-x+3x^2)	$(5 x^{2} + 8 x - 10) + (- 12 - x + 3 x^{2})$
20506	Solve for x	5=x-21+q	$5 = x - 21 + q$
20507	Write in Standard Form	(2x^2+7x)+(-x^2+10x+3)	$(2 x^{2} + 7 x) + (- x^{2} + 10 x + 3)$
20508	Solve for y	1/2(2y-4)=2/3(9y+3)	$\frac{1}{2} (2 y - 4) = \frac{2}{3} (9 y + 3)$
20509	Solve the Rational Equation for x	6-1/(x+1)=x/(x+1)	$6 - \frac{1}{x + 1} = \frac{x}{x + 1}$
20510	Simplify	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
20511	Simplify	square root of 6x* square root of 15xy* square root of 20	$\sqrt{6 x} \cdot \sqrt{15 x y} \cdot \sqrt{20}$
20512	Evaluate the Limit	limit as x approaches 0 of 1/x-1/(sin(x))	$lim_{x \to 0} \frac{1}{x} - \frac{1}{\sin (x)}$
20513	Solve for x	\|x-9\|=x^2+3	$\| x - 9 \| = x^{2} + 3$
20514	Multiply	(25xy^3)/(35x^4y^2)*(14xy)/(10x^2y^3)	$\frac{25 x y^{3}}{35 x^{4} y^{2}} \cdot \frac{14 x y}{10 x^{2} y^{3}}$
20515	Evaluate	csc(arcsec(-2))	$\csc (arcsec (- 2))$
20516	Find the Slope	(-a+2,b-3) and (a+2,-b)	$(- a + 2, b - 3)$ and $(a + 2, - b)$
20517	Solve for x	5 square root of x+7=8	$5 \sqrt{x} + 7 = 8$
20518	Verify the Identity	(2x+2)/(x+1)=2	$\frac{2 x + 2}{x + 1} = 2$
20519	Factor by Grouping	15x^8y^5+100x^5y^4+55x^4y^5	$15 x^{8} y^{5} + 100 x^{5} y^{4} + 55 x^{4} y^{5}$
20520	Solve for y	y/-7.2=-5.65	$\frac{y}{- 7.2} = - 5.65$
20521	Solve the Inequality for x	3x-x^2<=2	$3 x - x^{2} \leq 2$
20522	Simplify	(2x^2-10x)/((x-5)(x^2-1))*(3x^2+4x+1)	$\frac{(2 x^{2} - 10 x)}{(x - 5) (x^{2} - 1)} \cdot (3 x^{2} + 4 x + 1)$
20523	Write in Standard Form	(2x-3)-(5x-6)	$(2 x - 3) - (5 x - 6)$
20524	Solve for x	-(x+1/2)-5/2=-18	$- (x + \frac{1}{2}) - \frac{5}{2} = - 18$
20525	Evaluate the Integral	integral from 1 to 3 of ((1+ natural log of x)^3)/x with respect to x	$\int_{1}^{3} \frac{{(1 + \ln (x))}^{3}}{x} d x$
20526	Simplify	7+1/6r+3-3/4r	$7 + \frac{1}{6} r + 3 - \frac{3}{4} r$
20527	Solve the Absolute Value Inequality for x	(\|x+1\|)/3=3	$\frac{\| x + 1 \|}{3} = 3$
20528	Evaluate	(2.5*180)/pi	$\frac{2.5 \cdot 180}{π}$
20529	Write in y=mx+b Form	(4,-8) and (8,5)	$(4, - 8)$ and $(8, 5)$
20530	Simplify	(5x)/6*3/(4x^3)	$\frac{5 x}{6} \cdot \frac{3}{4 x^{3}}$
20531	Solve the Inequality for x	-4x^2+7<-x+2	$- 4 x^{2} + 7 < - x + 2$
20532	Solve the Inequality for x	3x^2+27x-37<=-7	$3 x^{2} + 27 x - 37 \leq - 7$
20533	Find the Domain	g(x) = square root of 5- square root of 2x-1	$g (x) = \sqrt{5 - \sqrt{2 x - 1}}$
20534	Simplify	((3x^2-30x)/(4x)*(x-10)/(x^2-20x+100))÷((2x)/(3x))	$\frac{3 x^{2} - 30 x}{4 x} \cdot \frac{x - 10}{x^{2} - 20 x + 100} \div \frac{2 x}{3 x}$
20535	Simplify	(4 square root of 3)/( cube root of 2)	$\frac{4 \sqrt{3}}{\sqrt[3]{2}}$
20536	Solve the System of Equations	3x-2y+2z=-2 x+6y-2z=-2 x+2y=0	$3 x - 2 y + 2 z = - 2$ $x + 6 y - 2 z = - 2$ $x + 2 y = 0$
20537	Simplify	(1/( square root of 3))^7	${(\frac{1}{\sqrt{3}})}^{7}$
20538	Multiply	cube root of 9xy^2*3 cube root of 3x^4y^6	$\sqrt[3]{9 x y^{2}} \cdot 3 \sqrt[3]{3 x^{4} y^{6}}$
20539	Solve the Inequality for b	-2b>-4-3b	$- 2 b > - 4 - 3 b$
20540	Find the Domain	f(x)=(8cos(x))/(1-sin(x))	$f (x) = \frac{8 \cos (x)}{1 - \sin (x)}$
20541	Write in Standard Form	y=(-2x)/11+2	$y = \frac{- 2 x}{11} + 2$
20542	Solve for θ in Degrees	cot(theta)^2-6cot(theta)+8=0	$\cot^{2} (θ) - 6 \cot (θ) + 8 = 0$
20543	Simplify	8(2w+x)+4w	$8 (2 w + x) + 4 w$
20544	Solve for x	-2/9-8/x=(2x-8)/(9x)	$\frac{- 2}{9} - \frac{8}{x} = \frac{2 x - 8}{9 x}$
20545	Simplify	5/(4m^2)-(4m)/(2n)	$\frac{5}{4 m^{2}} - \frac{4 m}{2 n}$
20546	Find the Slope and y-intercept	0=5y-x	$0 = 5 y - x$
20547	Solve for x	g(x)=(-5x-1)(2x+8)	$g (x) = (- 5 x - 1) (2 x + 8)$
20548	Divide	(-5k^2+k^3+8k+4)÷(-1+k)	$(- 5 k^{2} + k^{3} + 8 k + 4) \div (- 1 + k)$
20549	Convert to a Decimal	9rev per s	$9$ revolutions per second
20550	Subtract	-9x^2y^2+5x^2y-11xy+1 4xy-13x^2y+7	$- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1$ $4 x y - 13 x^{2} y + 7$
20551	Solve the System of Equations	y=-3x^2+8x+22 2=2x-y	$y = - 3 x^{2} + 8 x + 22$ $2 = 2 x - y$
20552	Integrate Using Trig Substitution	integral from 0 to 1 of (x^2)/( square root of 4-x^2) with respect to x	$\int_{0}^{1} \frac{x^{2}}{\sqrt{4 - x^{2}}} d x$
20553	Multiply	x^2(-4x^2+8x)	$x^{2} (- 4 x^{2} + 8 x)$
20554	Simplify	(2x^2+x-11)+(x-1)	$(2 x^{2} + x - 11) + (x - 1)$
20555	Find the Second Derivative	f(x) = square root of 8x	$f (x) = \sqrt{8 x}$
20556	Solve for θ in Degrees	cos(theta)^2-cos(theta)=0	$\cos^{2} (θ) - \cos (θ) = 0$
20557	Solve the System of Equations	1/2x-1/3y=5 x=2/3y+10	$\frac{1}{2} x - \frac{1}{3} y = 5$ $x = \frac{2}{3} y + 10$
20558	Find the LCD	5/(4(x-3)) , 1/4 , 7/(x-3)	$\frac{5}{4 (x - 3)}$ , $\frac{1}{4}$ , $\frac{7}{x - 3}$
20559	Write in Standard Form	1-1/8p^3	$1 - \frac{1}{8} p^{3}$
20560	Simplify the Radical Expression	(2^8z^10)/(2^6z^3)	$\frac{2^{8} z^{10}}{2^{6} z^{3}}$
20561	Simplify the Radical Expression	cube root of 5* cube root of 5^5	$\sqrt[3]{5} \cdot \sqrt[3]{5^{5}}$
20562	Divide Using Long Polynomial Division	(3x^2-10)/x	$\frac{3 x^{2} - 10}{x}$
20563	Divide	(-4/3)÷(8/9)	$- \frac{4}{3} \div \frac{8}{9}$
20564	Solve the Inequality for x	9^(2x+1)>27	$9^{2 x + 1} > 27$
20565	Solve for m	L=5mn^2 ; for m	$L = 5 m n^{2}$ ; for $m$
20566	Simplify	((5cd)/(3ef^2))^3	${(\frac{5 c d}{3 e f^{2}})}^{3}$
20567	Find the Product	(8+w)(64-8w+w^2)	$(8 + w) (64 - 8 w + w^{2})$
20568	Solve the Inequality for x	3x^2-8x+15<10x	$3 x^{2} - 8 x + 15 < 10 x$
20569	Solve by Substitution	5x-9y=6 -(5x+2y)=(17)	$5 x - 9 y = 6$ $- (5 x + 2 y) = (17)$
20570	Write in Standard Form	10m^4n(-2mn^3+3n)	$10 m^{4} n (- 2 m n^{3} + 3 n)$
20571	Multiply	(5 square root of 3)/3*2	$\frac{5 \sqrt{3}}{3} \cdot 2$
20572	Solve for q	x^2-5x+q=0	$x^{2} - 5 x + q = 0$
20573	Find the Antiderivative	e^x*x	$e^{x} \cdot x$
20574	Find the Derivative of the Integral	A(x) = integral from 1 to x of sin(e^t) with respect to t	$A (x) = \int_{1}^{x} \sin (e^{t}) d t$
20575	Convert to a Decimal	tan(315)deg	$\tan (315)$ degrees
20576	Simplify the Radical Expression	( fifth root of 64x^6)/( fifth root of 2x)	$\frac{\sqrt[5]{64 x^{6}}}{\sqrt[5]{2 x}}$
20577	Graph	y=-1/2x^2+4x-3	$y = \frac{- 1}{2} x^{2} + 4 x - 3$
20578	Find the Reference Angle	tan(300 degrees )	$\tan (300 °)$
20579	Solve for c	4(x-2)^2-7=ax^2+bx+c	$4 {(x - 2)}^{2} - 7 = a x^{2} + b x + c$
20580	Solve the System of Inequalities	y<2x+1 y<=-3x+4	$y < 2 x + 1$ $y \leq - 3 x + 4$
20581	Graph	F(x)=-1/3x^3	$F (x) = - \frac{1}{3} x^{3}$
20582	Solve for x	-6x=-5(x-1)-x	$- 6 x = - 5 (x - 1) - x$
20583	Simplify	square root of a* fourth root of a^3	$\sqrt{a} \cdot \sqrt[4]{a^{3}}$
20584	Simplify	fourth root of 121x^2y^3z^4 fourth root of 121x^6yz^12	$\sqrt[4]{121 x^{2} y^{3} z^{4}} \sqrt[4]{121 x^{6} y z^{12}}$
20585	Solve the System of Equations	y-x=3 y=1	$y - x = 3$ $y = 1$
20586	Solve for x	-7/x=-5/(x+4)	$- \frac{7}{x} = - \frac{5}{x + 4}$
20587	Evaluate	(4x^3)(2x)^-4	$(4 x^{3}) {(2 x)}^{- 4}$
20588	Simplify	1/3(x+15)+2/3(x+9)	$\frac{1}{3} (x + 15) + \frac{2}{3} (x + 9)$
20589	Simplify	cube root of x^2(x^2+x^(1/3)-2/( square root of x))	$\sqrt[3]{x^{2}} (x^{2} + x^{\frac{1}{3}} - \frac{2}{\sqrt{x}})$
20590	Solve for w	10(w+2)=26	$10 (w + 2) = 26$
20591	Rationalize the Denominator	-5/(-8+ square root of 3)	$\frac{- 5}{- 8 + \sqrt{3}}$
20592	Evaluate	(37.2^2sin(2*14.1))/9.80	$\frac{{37.2}^{2} \sin (2 \cdot 14.1)}{9.8}$
20593	Evaluate Using L'Hospital's Rule	limit as x approaches negative infinity of x/(2x-3)	$lim_{x \to - \infty} \frac{x}{2 x - 3}$
20594	Solve for x	square root of x^2-2x=x+1	$\sqrt{x^{2} - 2 x} = x + 1$
20595	Simplify the Radical Expression	-64^(2/3)	$- 64^{\frac{2}{3}}$
20596	Solve for p	A=1/2ap	$A = \frac{1}{2} a p$
20597	Find the Third Term	a_n=((n+4)!)/((n+5)!)	$a_{n} = \frac{(n + 4)!}{(n + 5)!}$
20598	Solve for b	(b+3)/3-b/4=(b-2)/5	$\frac{b + 3}{3} - \frac{b}{4} = \frac{b - 2}{5}$
20599	Graph	y<1/(x+2)+1	$y < \frac{1}{x + 2} + 1$
20600	Simplify	(3a^-2b^-2)/(18b^3)	$\frac{3 a^{- 2} b^{- 2}}{18 b^{3}}$