Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14401	Simplify	x cube root of 4* fourth root of 4	$x \sqrt[3]{4} \cdot \sqrt[4]{4}$
14402	Determine if Odd, Even, or Neither	f(x)=x^3+x^7-x^9	$f (x) = x^{3} + x^{7} - x^{9}$
14403	Simplify	(2x)/(3x+3)-2/(x+5)	$\frac{2 x}{3 x + 3} - \frac{2}{x + 5}$
14404	Solve for x	(2x-3)^(1/2)+2=2	${(2 x - 3)}^{\frac{1}{2}} + 2 = 2$
14405	Solve for n	x^2-4nx+4m>0	$x^{2} - 4 n x + 4 m > 0$
14406	Add	cube root of 2x+-11 cube root of 2x	$\sqrt[3]{2 x} + - 11 \sqrt[3]{2 x}$
14407	Solve for x	cube root of x^3-3x^2+2=x-1	$\sqrt[3]{x^{3} - 3 x^{2} + 2} = x - 1$
14408	Multiply	-5(2c^2-d^2)	$- 5 (2 c^{2} - d^{2})$
14409	Solve the Rational Equation for x	(x^2+1)/(x-1)+x=2+2/(x-1)	$\frac{x^{2} + 1}{x - 1} + x = 2 + \frac{2}{x - 1}$
14410	Evaluate	log base 2 of 1/64+ log base 2 of 2 square root of 2- log base 3 of 1/81	$\log_{2} (\frac{1}{64}) + \log_{2} (2 \sqrt{2}) - \log_{3} (\frac{1}{81})$
14411	Solve for x	square root of x+1+1 = square root of x+3	$\sqrt{x + 1} + 1 = \sqrt{x + 3}$
14412	Simplify	(a(b-2))/(5(b-2))	$\frac{a (b - 2)}{5 (b - 2)}$
14413	Simplify	((x^2y^5)^3)/((xy^2)^4)	$\frac{{(x^{2} y^{5})}^{3}}{{(x y^{2})}^{4}}$
14414	Find the Domain	4x=-3y+xy	$4 x = - 3 y + x y$
14415	Solve for x	6/(5x)+2/9=-1	$\frac{6}{5 x} + \frac{2}{9} = - 1$
14416	Evaluate the Integral	integral from 1 to infinity of x/((1+x^2)^2) with respect to x	$\int_{1}^{\infty} \frac{x}{{(1 + x^{2})}^{2}} d x$
14417	Convert from Degrees to Radians	-60deg	$- 60$ degrees
14418	Find All Complex Solutions	4/3=-6e-5/3	$\frac{4}{3} = - 6 e - \frac{5}{3}$
14419	Simplify	m-n-(n^2)/(m+n)	$m - n - \frac{n^{2}}{m + n}$
14420	Evaluate the Integral	integral of (2^x+1) with respect to x	$\int (2^{x} + 1) d x$
14421	Evaluate	(a^5b^10)/(a^3b^3)	$\frac{a^{5} b^{10}}{a^{3} b^{3}}$
14422	Simplify	(2x+3)(2x-1)(x+2)(x+2)	$(2 x + 3) (2 x - 1) (x + 2) (x + 2)$
14423	Graph	Graph -9x+5y=45	Graph $- 9 x + 5 y = 45$
14424	Solve the Rational Equation for x	square root of x+10-7=-5	$\sqrt{x + 10} - 7 = - 5$
14425	Subtract	(-3x+x^3-2x^2)-(4x^3-2x^2-4x)	$(- 3 x + x^{3} - 2 x^{2}) - (4 x^{3} - 2 x^{2} - 4 x)$
14426	Find the Domain	g(x)=5/(x-6.2)+(2-x)/(2.8+x)	$g (x) = \frac{5}{x - 6.2} + \frac{2 - x}{2.8 + x}$
14427	Solve for x	2/5(-3.6-x)=5	$\frac{2}{5} (- 3.6 - x) = 5$
14428	Graph	y<=3x+1 2x+y<=-3	$y \leq 3 x + 1$ $2 x + y \leq - 3$
14429	Find the Domain and Range	f(x)=-1/8(2x-6)^3-2	$f (x) = - \frac{1}{8} {(2 x - 6)}^{3} - 2$
14430	Solve for C	A+B+C=180	$A + B + C = 180$
14431	Find the Domain and Range	f(x)=3 cube root of x-2	$f (x) = 3 \sqrt[3]{x - 2}$
14432	Evaluate	sin(x)^2-1=0	$\sin^{2} (x) - 1 = 0$
14433	Divide Using Long Polynomial Division	Use the long division method to find the result when 12x^3+20x^2+11x+2 is divided by 3x+2	Use the long division method to find the result when $12 x^{3} + 20 x^{2} + 11 x + 2$ is divided by $3 x + 2$
14434	Solve for x	(x+17)/(x+8)=(x+8)/x	$\frac{x + 17}{x + 8} = \frac{x + 8}{x}$
14435	Simplify	(3x^-3y^3)/(9x^2(y^-3)^2)	$\frac{3 x^{- 3} y^{3}}{9 x^{2} {(y^{- 3})}^{2}}$
14436	Solve for x	3x+30+x=10+2x+5x+2	$3 x + 30 + x = 10 + 2 x + 5 x + 2$
14437	Multiply	-3/5(-1 1/3)	$- \frac{3}{5} (- 1 \frac{1}{3})$
14438	Simplify	cube root of (7x^2)/(15yz^2)	$\sqrt[3]{\frac{7 x^{2}}{15 y z^{2}}}$
14439	Find the Roots (Zeros)	square root of 2x-1-x+2=0	$\sqrt{2 x - 1} - x + 2 = 0$
14440	Write in Standard Form	(3y-5)(2y-7)(4y+1)	$(3 y - 5) (2 y - 7) (4 y + 1)$
14441	Solve for x	(3x+25)/(x+7)-5=3/x	$\frac{3 x + 25}{x + 7} - 5 = \frac{3}{x}$
14442	Solve for x	(4x^3-9x)/(x+1.5)=0	$\frac{4 x^{3} - 9 x}{x + 1.5} = 0$
14443	Solve the Inequality for y	3y+6<=2y	$3 y + 6 \leq 2 y$
14444	Solve for x	y=g square root of x+h	$y = g \sqrt{x} + h$
14445	Simplify	i^9i^25i^12*i^16	$i^{9} \cdot i^{25} \cdot i^{12} \cdot i^{16}$
14446	Solve for x	square root of 19x+17=2x+4	$\sqrt{19 x + 17} = 2 x + 4$
14447	Simplify	8/(2 square root of 2)	$\frac{8}{2 \sqrt{2}}$
14448	Evaluate Using L'Hospital's Rule	limit as x approaches 0 of (e^(-x)-1)/(3sin(-x)+3x)	$lim_{x \to 0} \frac{e^{- x} - 1}{3 \sin (- x) + 3 x}$
14449	Simplify	(2x^2y^3)(-5x^-2y^7)	$(2 x^{2} y^{3}) (- 5 x^{- 2} y^{7})$
14450	Find the Domain	f(x)=(X+3)/(X-4)	$f (x) = \frac{X + 3}{X - 4}$
14451	Simplify	square root of 4x^6* cube root of 8x^2	$\sqrt{4 x^{6}} \cdot \sqrt[3]{8 x^{2}}$
14452	Graph	f(x)=-1/5 square root of x-1-4	$f (x) = - \frac{1}{5} \sqrt{x - 1} - 4$
14453	Simplify	(4x)/7*(10x)/7	$\frac{4 x}{7} \cdot \frac{10 x}{7}$
14454	Solve for x	(x-5)^2+4=0	${(x - 5)}^{2} + 4 = 0$
14455	Solve for x	square root of 4x+5+1=3	$\sqrt{4 x + 5} + 1 = 3$
14456	Write in Standard Form	4x+2x^2-7+x^3	$4 x + 2 x^{2} - 7 + x^{3}$
14457	Find the Asymptotes	f(x)=2tan(x-pi/2)	$f (x) = 2 \tan (x - \frac{π}{2})$
14458	Solve for x	x/a+x/b=1	$\frac{x}{a} + \frac{x}{b} = 1$
14459	Multiply	(z-5/3)(z-2/3)	$(z - \frac{5}{3}) (z - \frac{2}{3})$
14460	Solve for x	4^x+6(4^(-x))=5	$4^{x} + 6 (4^{- x}) = 5$
14461	Evaluate the Integral	integral from 0 to 5 of (f(x)+g(x)) with respect to x	$\int_{0}^{5} (f (x) + g (x)) d x$
14462	Solve the Inequality for p	p/9-1<=-2	$\frac{p}{9} - 1 \leq - 2$
14463	Solve for a	A=(a+b)/2*h	$A = \frac{a + b}{2} \cdot h$
14464	Expand the Logarithmic Expression	Expand log of (3x)/(2y)	Expand $\log (\frac{3 x}{2 y})$
14465	Solve for x	(x+5)/(x+4)-(2x+1)/(x+8)=3/(x+4)	$\frac{x + 5}{x + 4} - \frac{2 x + 1}{x + 8} = \frac{3}{x + 4}$
14466	Rationalize the Denominator	(5+ fourth root of x)/( fourth root of x)	$\frac{5 + \sqrt[4]{x}}{\sqrt[4]{x}}$
14467	Solve the Function Operation	Given that f(x)=x^2+5x+6 and g(x)=x+2 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 5 x + 6$ and $g (x) = x + 2$ ; find $(f \cdot g) (x)$ and express the result in standard form.
14468	Find the Roots (Zeros)	9x(x+8)	$9 x (x + 8)$
14469	Simplify	-1.2+(-3/5)	$- 1.2 + (- \frac{3}{5})$
14470	Determine if Linear	4(x-3)+8x=y	$4 (x - 3) + 8 x = y$
14471	Solve for x	square root of 5x^2+7x-2=x square root of 5	$\sqrt{5 x^{2} + 7 x - 2} = x \sqrt{5}$
14472	Simplify	5^(1/4)+6(405^(1/4))	$5^{\frac{1}{4}} + 6 (405^{\frac{1}{4}})$
14473	Solve the System of Equations	y=x+5 x-y=2	$y = x + 5$ $x - y = 2$
14474	Simplify	fourth root of 11*4 square root of 10	$\sqrt[4]{11} \cdot 4 \sqrt{10}$
14475	Solve for θ in Degrees	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
14476	Graph	y=x-5 2x+5y=10	$y = x - 5$ $2 x + 5 y = 10$
14477	Simplify	(45p^5q^4-60p^3q^2-15p^2q^3)/(15p^2q^3)	$\frac{45 p^{5} q^{4} - 60 p^{3} q^{2} - 15 p^{2} q^{3}}{15 p^{2} q^{3}}$
14478	Solve for x	y=4 fourth root of x	$y = 4 \sqrt[4]{x}$
14479	Find the Derivative - d/dx	d/(dx)(ke^(-2x)-2x^(k^2))	$\frac{d}{d x} (k e^{- 2 x} - 2 x^{k^{2}})$
14480	Factor	ac(a+c)+ab(a-b)-bc(b+c)	$a c (a + c) + a b (a - b) - b c (b + c)$
14481	Factor	5*(a+3)^2-(a+3)	$5 \cdot {(a + 3)}^{2} - (a + 3)$
14482	Multiply	-3a*(7a^2-4)	$- 3 a \cdot (7 a^{2} - 4)$
14483	Expand Using Sum/Difference Formulas	tan(90-theta)	$\tan (90 - θ)$
14484	Find the Coterminal Angle	-765	$- 765$
14485	Solve for m	100 1/5-10 4/5m=57	$100 \frac{1}{5} - 10 \frac{4}{5} m = 57$
14486	Verify the Identity	(sin(theta)^2)/(1+cos(theta))=1-cos(theta)	$\frac{\sin^{2} (θ)}{1 + \cos (θ)} = 1 - \cos (θ)$
14487	Solve for y	y=2(3)(6)+3+6	$y = 2 (3) (6) + 3 + 6$
14488	Solve the System of Equations	2x+3y=6 2y=5-x	$2 x + 3 y = 6$ $2 y = 5 - x$
14489	Evaluate	t=2pi square root of l/32	$t = 2 π \sqrt{\frac{l}{32}}$
14490	Evaluate	log base x of 8=-1/2	$\log_{x} (8) = - \frac{1}{2}$
14491	Simplify the Radical Expression	( cube root of 4)/( cube root of 5)	$\frac{\sqrt[3]{4}}{\sqrt[3]{5}}$
14492	Solve for x	14x+52=130/12	$14 x + 52 = \frac{130}{12}$
14493	Find the Product	(x^6-4)(x^2-7x+5)	$(x^{6} - 4) (x^{2} - 7 x + 5)$
14494	Graph	2y<y+2	$2 y < y + 2$
14495	Solve the Inequality for x	2x^3-3x^2-11x+6>=0	$2 x^{3} - 3 x^{2} - 11 x + 6 \geq 0$
14496	Find the Antiderivative	(e^x-e^(-x))/(e^x+e^(-x))	$\frac{e^{x} - e^{- x}}{e^{x} + e^{- x}}$
14497	Subtract	(4x+1)/(7x^2)-(1-3x)/(7x^2)	$\frac{4 x + 1}{7 x^{2}} - \frac{1 - 3 x}{7 x^{2}}$
14498	Simplify	34x2y	$3 \cdot 4 x \cdot 2 y$
14499	Solve for a	(p^a)^4*p^3=p^11	${(p^{a})}^{4} \cdot p^{3} = p^{11}$
14500	Multiply	square root of x* cube root of x	$\sqrt{x} \cdot \sqrt[3]{x}$