Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
21501	Solve the Inequality for x	2<-1/2-(-2x-3)	$2 < - \frac{1}{2} - (- 2 x - 3)$
21502	Simplify	((5x^3)/3)÷(7/(4x))	$\frac{5 x^{3}}{3} \div \frac{7}{4 x}$
21503	Find the Complex Conjugate	x square root of 5+2	$x \sqrt{5 + 2}$
21504	Solve for x	0.6(10x+25)=10+5x	$0.6 (10 x + 25) = 10 + 5 x$
21505	Simplify	square root of 3k( square root of 12k-2 square root of 15k^2)	$\sqrt{3 k} (\sqrt{12 k} - 2 \sqrt{15 k^{2}})$
21506	Find dy/dx	y=(3x-1)(2x+5)	$y = (3 x - 1) (2 x + 5)$
21507	Simplify	5/( square root of 5-x)	$\frac{5}{\sqrt{5 - x}}$
21508	Factor	(x-y)^2-3(x-y)	${(x - y)}^{2} - 3 (x - y)$
21509	Solve Using the Quadratic Formula	x^2+x-9=x	$x^{2} + x - 9 = x$
21510	Describe the Transformation	y=- square root of -x	$y = - \sqrt{- x}$
21511	Evaluate the Limit	limit as x approaches 9 of (3- square root of x)/(27- square root of x^3)	$lim_{x \to 9} \frac{3 - \sqrt{x}}{27 - \sqrt{x^{3}}}$
21512	Evaluate the Integral	integral of cos(x)-sin(x) with respect to x	$\int \cos (x) - \sin (x) d x$
21513	Find the Domain and Range	y=0.5(3^x-3)	$y = 0.5 (3^{x} - 3)$
21514	Simplify	(xy)^-3(-x^7y^2)(30x^2)	${(x y)}^{- 3} (- x^{7} y^{2}) (30 x^{2})$
21515	Simplify	(x^2-2x-24)÷(-x+6)	$(x^{2} - 2 x - 24) \div (- x + 6)$
21516	Solve for x	4x+2(x-4)=4(x-2)+x	$4 x + 2 (x - 4) = 4 (x - 2) + x$
21517	Write in Standard Form	5(x-y)=3x+2y	$5 (x - y) = 3 x + 2 y$
21518	Divide	( square root of 3)/21/2	$\frac{\sqrt{3}}{2} \cdot \frac{1}{2}$
21519	Multiply	(6x-12)/(4x^2)*(3x^3)/(2x-4)	$\frac{6 x - 12}{4 x^{2}} \cdot \frac{3 x^{3}}{2 x - 4}$
21520	Solve Using the Quadratic Formula	5x^2=-80+40x	$5 x^{2} = - 80 + 40 x$
21521	Solve the Function Operation	Given that f(x)=x^2-5x-36 and g(x)=x+4 ; find (f+g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 5 x - 36$ and $g (x) = x + 4$ ; find $(f + g) (x)$ and express the result in standard form.
21522	Solve for R	3/(5+R)+R/(R+2)=(R+4)/(R+5)	$\frac{3}{5 + R} + \frac{R}{R + 2} = \frac{R + 4}{R + 5}$
21523	Simplify	-3xy^2(2x^2y^3+7xy^2-5x^3y^2)	$- 3 x y^{2} (2 x^{2} y^{3} + 7 x y^{2} - 5 x^{3} y^{2})$
21524	Factor	m^4n^3+24m^2n^3+144n^3	$m^{4} n^{3} + 24 m^{2} n^{3} + 144 n^{3}$
21525	Find the Slope	(11/8,-1/2) and (1/4,1/4)	$(\frac{11}{8}, - \frac{1}{2})$ and $(\frac{1}{4}, \frac{1}{4})$
21526	Find the Sine Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
21527	Solve the Inequality for j	3/4j-10>=5	$\frac{3}{4} j - 10 \geq 5$
21528	Graph	find x	find $x$
21529	Simplify	((4mn^-3)^2*-2m^3n^2)/(6m^-4n^6)	$\frac{{(4 m n^{- 3})}^{2} \cdot - 2 m^{3} n^{2}}{6 m^{- 4} n^{6}}$
21530	Evaluate the Limit	limit as x approaches infinity of (7x^3-5x^2+1)/(x^4-3)	$lim_{x \to \infty} \frac{7 x^{3} - 5 x^{2} + 1}{x^{4} - 3}$
21531	Simplify	14.5d+8.5-1/2d+1/2+2.5d	$14.5 d + 8.5 - \frac{1}{2} d + \frac{1}{2} + 2.5 d$
21532	Simplify	(f^(-1/4))/(4f^(1/2)*f^(-1/3))	$\frac{f^{- \frac{1}{4}}}{4 f^{\frac{1}{2}} \cdot f^{- \frac{1}{3}}}$
21533	Find All Complex Solutions	sin(x)^2+5cos(x/2)^2=2	$\sin^{2} (x) + 5 \cos^{2} (\frac{x}{2}) = 2$
21534	Solve the Inequality for n	8n-10<6-2n	$8 n - 10 < 6 - 2 n$
21535	Find the Domain and Range	x+y^3=12	$x + y^{3} = 12$
21536	Solve by Substitution	y=x+8 and x+y=2	$y = x + 8$ and $x + y = 2$
21537	Solve the System of Inequalities	y>=2/3x+3 y>-4/3x-3	$y \geq \frac{2}{3} x + 3$ $y > - \frac{4}{3} x - 3$
21538	Convert from Degrees to Radians	-240deg	$- 240$ degrees
21539	Evaluate	(-3r^3s^5)^2-r^6s^10	${(- 3 r^{3} s^{5})}^{2} - r^{6} s^{10}$
21540	Simplify	square root of 18xy	$\sqrt{18 x y}$
21541	Solve the Inequality for x	3+x/4>=5	$3 + \frac{x}{4} \geq 5$
21542	Evaluate	x^2y^-3	$x^{2} y^{- 3}$
21543	Solve the Inequality for n	(2n)/7<=4	$\frac{2 n}{7} \leq 4$
21544	Write in Slope-Intercept Form	(-2,-8) and (6,4)	$(- 2, - 8)$ and $(6, 4)$
21545	Solve for m	p=(mt)/6	$p = \frac{m t}{6}$
21546	Simplify	(2x)/(x^2+2x-8)(x-2)/(2x)(x^2+9x+20)/(x+5)	$\frac{2 x}{x^{2} + 2 x - 8} \cdot \frac{x - 2}{2 x} \cdot \frac{x^{2} + 9 x + 20}{x + 5}$
21547	Find the Exact Value	sec(pi/4)+7csc(pi/6)	$\sec (\frac{π}{4}) + 7 \csc (\frac{π}{6})$
21548	Find dy/dx	natural log of xy+5x=30	$\ln (x y) + 5 x = 30$
21549	Graph	x-2y=8 y=-1/2x	$x - 2 y = 8$ $y = - \frac{1}{2} x$
21550	Simplify	(3-a)*2+a	$(3 - a) \cdot 2 + a$
21551	Divide Using Long Polynomial Division	(x^4-y^4)÷(x-y)	$(x^{4} - y^{4}) \div (x - y)$
21552	Simplify	(12y^6ab)(-3yx^3b)	$(12 y^{6} a b) (- 3 y x^{3} b)$
21553	Solve for v	m=d*v	$m = d \cdot v$
21554	Find the Derivative - d/dt	re^(rt)	$r e^{r t}$
21555	Find the Inverse	f(x) = cube root of -x/2	$f (x) = \sqrt[3]{- \frac{x}{2}}$
21556	Solve the System of Equations	y=1/4x+5 y=-x	$y = \frac{1}{4} x + 5$ $y = - x$
21557	Write the Fraction in Simplest Form	(36a^3bc^2)/(24ab^4c^2)	$\frac{36 a^{3} b c^{2}}{24 a b^{4} c^{2}}$
21558	Simplify	square root of m^3 fifth root of m^4	$\sqrt{m^{3}} \sqrt[5]{m^{4}}$
21559	Find the Domain and Range	y=2tan(x/2)-1	$y = 2 \tan (\frac{x}{2}) - 1$
21560	Evaluate	i^5i^11i^18*i^8	$i^{5} \cdot i^{11} \cdot i^{18} \cdot i^{8}$
21561	Solve for x	8/3=(x-9)/(7x+4)	$\frac{8}{3} = \frac{x - 9}{7 x + 4}$
21562	Graph	y=2tan(x/2)-1	$y = 2 \tan (\frac{x}{2}) - 1$
21563	Evaluate the Integral	integral of (4x+2)/(x^2+x+5) with respect to x	$\int \frac{4 x + 2}{x^{2} + x + 5} d x$
21564	Find the Equation Using Two Points	(3,4) and (0,5)	$(3, 4)$ and $(0, 5)$
21565	Graph	x-4y<=4y	$x - 4 y \leq 4 y$
21566	Find the Domain	(15xy^2)/(4a)	$\frac{15 x y^{2}}{4 a}$
21567	Evaluate	10% of 30	$10 %$ of $30$
21568	Simplify the Radical Expression	5a cube root of 152a^4b^5	$5 a \sqrt[3]{152 a^{4} b^{5}}$
21569	Solve for N	1-5/8=N	$1 - \frac{5}{8} = N$
21570	Graph	y=-1/2cos(pi/4x)	$y = - \frac{1}{2} \cos (\frac{π}{4} x)$
21571	Solve for x	x+7+1/3x=3/2x-2	$x + 7 + \frac{1}{3} x = \frac{3}{2} x - 2$
21572	Simplify	(3/y+7/x)/(1/y-2/x)	$\frac{\frac{3}{y} + \frac{7}{x}}{\frac{1}{y} - \frac{2}{x}}$
21573	Factor	(x-y)^5-(x^2-y^2)^7	${(x - y)}^{5} - {(x^{2} - y^{2})}^{7}$
21574	Solve Using the Quadratic Formula	3(t^2-16)^2+19(t^2-16)=-6	$3 {(t^{2} - 16)}^{2} + 19 (t^{2} - 16) = - 6$
21575	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-4,4) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 4, 4)$ and has a slope of $- 3$ ?
21576	Divide	(40p^3+2p^2+40p)÷8p^2	$(40 p^{3} + 2 p^{2} + 40 p) \div 8 p^{2}$
21577	Solve the Inequality for k	2k+1/3>1	$2 k + \frac{1}{3} > 1$
21578	Solve the Inequality for x	-3(7x+3)<6x	$- 3 (7 x + 3) < 6 x$
21579	Solve the Inequality for x	x^2+x-4>16	$x^{2} + x - 4 > 16$
21580	Write with Rational (Fractional) Exponents	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
21581	Solve for a	(45-2a)^(1/2)=(a-6)^(1/2)	${(45 - 2 a)}^{\frac{1}{2}} = {(a - 6)}^{\frac{1}{2}}$
21582	Find the Maximum/Minimum Value	y=(-x-1)^2+3	$y = {(- x - 1)}^{2} + 3$
21583	Graph	f(x)=-1/3x^2+4/3x-16/3	$f (x) = - \frac{1}{3} x^{2} + \frac{4}{3} x - \frac{16}{3}$
21584	Find the Antiderivative	x^5+8x^3- square root of 5	$x^{5} + 8 x^{3} - \sqrt{5}$
21585	Simplify	(a+1)/(2a)+3/(a^2)	$\frac{a + 1}{2 a} + \frac{3}{a^{2}}$
21586	Evaluate the Integral	integral from 0 to 2 of x/((1+2x^2)^2) with respect to x	$\int_{0}^{2} \frac{x}{{(1 + 2 x^{2})}^{2}} d x$
21587	Find the Derivative - d/dt	y=t^2( natural log of t)^4	$y = t^{2} \ln^{4} (t)$
21588	Solve the Function Operation	Find (f+g)(x) ; given that f(x)=6x+7 and g(x)=5-8x	Find $(f + g) (x)$ ; given that $f (x) = 6 x + 7$ and $g (x) = 5 - 8 x$
21589	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^3+9x^2-22x+24 is divided by x+4	Use synthetic division to find the result when $4 x^{3} + 9 x^{2} - 22 x + 24$ is divided by $x + 4$
21590	Find the Derivative - d/dx	y=4cos(-5x^2)	$y = 4 \cos (- 5 x^{2})$
21591	Evaluate the Integral	integral from 0 to 3 of (1/4x^2)(2x^2)(3-x) with respect to x	$\int_{0}^{3} (\frac{1}{4} x^{2}) (2 x^{2}) (3 - x) d x$
21592	Multiply	(yz)(12xy-25xz-4y^2)	$(y z) (12 x y - 25 x z - 4 y^{2})$
21593	Solve for X	3(X-8)=-33	$3 (X - 8) = - 33$
21594	Find the Antiderivative	f(x)=5e^(2x+3)+4x^2	$f (x) = 5 e^{2 x + 3} + 4 x^{2}$
21595	Simplify	-3/(3 square root of 2)	$- \frac{3}{3 \sqrt{2}}$
21596	Find the Product	-2/5(5-10e)=e+1/3(6e-12)	$- \frac{2}{5} (5 - 10 e) = e + \frac{1}{3} (6 e - 12)$
21597	Solve by Factoring	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
21598	Write the Fraction in Simplest Form	(3x^2)/(x^2-x-30)-(3x+5)/(x-6)	$\frac{3 x^{2}}{x^{2} - x - 30} - \frac{3 x + 5}{x - 6}$
21599	Simplify	2^5*(2^4)^2	$2^{5} \cdot {(2^{4})}^{2}$
21600	Graph	y=x+-2	$y = x + - 2$