Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24801	Divide Using Long Polynomial Division	(x^5-4x^3+4x^2)÷(x-4)	$(x^{5} - 4 x^{3} + 4 x^{2}) \div (x - 4)$
24802	Find the Antiderivative	(x^2-1)^2	${(x^{2} - 1)}^{2}$
24803	Find the LCD	(3x^2+4x+1)/(x^2-4)-(x^2+8x+12)/(x+1)	$\frac{3 x^{2} + 4 x + 1}{x^{2} - 4} - \frac{x^{2} + 8 x + 12}{x + 1}$
24804	Simplify	Find 4(-3x+1)+(6x+3)	Find $4 (- 3 x + 1) + (6 x + 3)$
24805	Evaluate the Limit	limit as x approaches 1 of (x^3+x^2-2)/(x-1)	$lim_{x \to 1} \frac{x^{3} + x^{2} - 2}{x - 1}$
24806	Evaluate	1*2/( square root of 2)	$1 \cdot \frac{2}{\sqrt{2}}$
24807	Graph	16>=-x+6>5	$16 \geq - x + 6 > 5$
24808	Evaluate the Integral	integral of sin(x)(4csc(x)-cot(x)) with respect to x	$\int \sin (x) (4 \csc (x) - \cot (x)) d x$
24809	Find the Antiderivative	(4x+11)/(x^2+5x+6)	$\frac{4 x + 11}{x^{2} + 5 x + 6}$
24810	Simplify/Condense	log of x-1/2 log of y+4 log of z	$\log (x) - \frac{1}{2} \log (y) + 4 \log (z)$
24811	Simplify	square root of 7/9* square root of 4/7	$\sqrt{\frac{7}{9}} \cdot \sqrt{\frac{4}{7}}$
24812	Simplify	fourth root of (256m^8n^4p^16)/(2m^4p^4)	$\sqrt[4]{\frac{256 m^{8} n^{4} p^{16}}{2 m^{4} p^{4}}}$
24813	Find the Maximum/Minimum Value	f(x)=4/3x^3+7x^2-8x-42	$f (x) = \frac{4}{3} x^{3} + 7 x^{2} - 8 x - 42$
24814	Find the Derivative - d/dx	(e^x+x)^(1/x)	${(e^{x} + x)}^{\frac{1}{x}}$
24815	Find the Roots (Zeros)	x^3+1=4x^2	$x^{3} + 1 = 4 x^{2}$
24816	Solve for p	3p+2>=-10	$3 p + 2 \geq - 10$
24817	Simplify	-x^2y^-2	$- x^{2} y^{- 2}$
24818	Solve the Rational Equation for A	1/((x+1)(x+2))=A/(x+1)+B/(x+2)	$\frac{1}{(x + 1) (x + 2)} = \frac{A}{x + 1} + \frac{B}{x + 2}$
24819	Divide Using Synthetic Division	(4p^3-3p^2+2p)÷(p-1)	$(4 p^{3} - 3 p^{2} + 2 p) \div (p - 1)$
24820	Solve for v	-6+ log of 6v=-7	$- 6 + \log (6 v) = - 7$
24821	Convert to a Decimal	28deg	$28$ degrees
24822	Simplify	cd cube root of -80c	$c d \sqrt[3]{- 80 c}$
24823	Simplify	(9x^2)/(x-6)(x^2-36)/(3x-6)3/(4x^2+24x)	$\frac{9 x^{2}}{x - 6} \cdot \frac{x^{2} - 36}{3 x - 6} \cdot \frac{3}{4 x^{2} + 24 x}$
24824	Find the Reference Angle	sin(-pi/6)	$\sin (- \frac{π}{6})$
24825	Find the Antiderivative	(2 square root of x)/x	$\frac{2 \sqrt{x}}{x}$
24826	Factor	3(8x+3)^2(7x-6)-(8x+3)(7x-6)^2	$3 {(8 x + 3)}^{2} (7 x - 6) - (8 x + 3) {(7 x - 6)}^{2}$
24827	Find the Derivative - d/dt	y=e^(cos(t))	$y = e^{\cos (t)}$
24828	Find the Antiderivative	1/x-2e^x	$\frac{1}{x} - 2 e^{x}$
24829	Determine if Parallel	y=8 and x=-1	$y = 8$ and $x = - 1$
24830	Simplify the Radical Expression	square root of 32 square root of 25 square root of 8* square root of 18	$\sqrt{3} \cdot 2 \sqrt{2} \cdot 5 \sqrt{8} \cdot \sqrt{18}$
24831	Find dy/dx	y-2xy=3x	$y - 2 x y = 3 x$
24832	Solve for x	log base 4 of x^2- log base 4 of x-1=1	$\log_{4} (x^{2}) - \log_{4} (x - 1) = 1$
24833	Graph	(x^2+2x)/(-4x+8)	$\frac{x^{2} + 2 x}{- 4 x + 8}$
24834	Solve for x	-9/2+(2x+9)/(2x)=-5	$\frac{- 9}{2} + \frac{2 x + 9}{2 x} = - 5$
24835	Evaluate the Limit	limit as x approaches pi/(()/())*2 of 3sin(x)	$lim_{x \to \frac{π}{\frac{}{}} \cdot 2} 3 \sin (x)$
24836	Factor	x^4+7x^3-8x^2-9x^2-63x+72	$x^{4} + 7 x^{3} - 8 x^{2} - 9 x^{2} - 63 x + 72$
24837	Evaluate	g(-x)=-x^3	$g (- x) = - x^{3}$
24838	Evaluate	0.5/(( square root of 3)/2)	$\frac{0.5}{\frac{\sqrt{3}}{2}}$
24839	Simplify	x/(2x+8)-(5x+1)/(x+4)	$\frac{x}{2 x + 8} - \frac{5 x + 1}{x + 4}$
24840	Find the Percentage Rate of Change	y=7500(1+0.03)^x	$y = 7500 {(1 + 0.03)}^{x}$
24841	Solve the Inequality for x	0>-5x-6x	$0 > - 5 x - 6 x$
24842	Solve for n	-9(n+4)=-5n-(4n+36)	$- 9 (n + 4) = - 5 n - (4 n + 36)$
24843	Graph	x=t^2+3 , y=t/4-5 , -5<=t<=5	$x = t^{2} + 3$ , $y = \frac{t}{4} - 5$ , $- 5 \leq t \leq 5$
24844	Solve for y	limit as x approaches y of (yx)/3=12	$lim_{x \to y} \frac{y x}{3} = 12$
24845	Find Amplitude, Period, and Phase Shift	y=1/2cos((4pix)/5-pi/2)	$y = \frac{1}{2} \cos (\frac{4 π x}{5} - \frac{π}{2})$
24846	Write the Fraction in Simplest Form	1/(1+cos(x))+1/(1-cos(x))	$\frac{1}{1 + \cos (x)} + \frac{1}{1 - \cos (x)}$
24847	Evaluate	1/(1+cos(x))+1/(1-cos(x))	$\frac{1}{1 + \cos (x)} + \frac{1}{1 - \cos (x)}$
24848	Solve for x	x^8+48x^4=49	$x^{8} + 48 x^{4} = 49$
24849	Evaluate	3(4)^4 square root of 4	$3 {(4)}^{4} \sqrt{4}$
24850	Write as a Single Logarithm	( log base 3 of 2)( log base 3 of 4)	$(\log_{3} (2)) (\log_{3} (4))$
24851	Evaluate	3^(9^(2^-1))	$3^{9^{2^{- 1}}}$
24852	Expand the Logarithmic Expression	( log base 3 of 2)( log base 3 of 4)	$(\log_{3} (2)) (\log_{3} (4))$
24853	Solve for x	natural log of natural log of x-1=5	$\ln (\ln (x - 1)) = 5$
24854	Find the Maximum/Minimum Value	h(x)=-3x^4+8x^3+18x^2	$h (x) = - 3 x^{4} + 8 x^{3} + 18 x^{2}$
24855	Convert to Interval Notation	37>7-6x>-17	$37 > 7 - 6 x > - 17$
24856	Find the Asymptotes	f(x)=4/(2x-4)-2	$f (x) = \frac{4}{2 x - 4} - 2$
24857	Find the Antiderivative	(e^x+e^(-x))^2	${(e^{x} + e^{- x})}^{2}$
24858	Simplify	2 cube root of x^2+3 square root of x^3	$2 \sqrt[3]{x^{2}} + 3 \sqrt{x^{3}}$
24859	Simplify	(-6qr)(9q^2+4qr^2-7)	$(- 6 q r) (9 q^{2} + 4 q r^{2} - 7)$
24860	Solve the Inequality for v	5(2v+3)-10v>-10	$5 (2 v + 3) - 10 v > - 10$
24861	Simplify	4/(3x^3)*(7x^2)/3	$\frac{4}{3 x^{3}} \cdot \frac{7 x^{2}}{3}$
24862	Write in Standard Form	y=(-1x)/11-8/11	$y = \frac{- 1 x}{11} - \frac{8}{11}$
24863	Simplify	x(y-1/x)-xy	$x (y - \frac{1}{x}) - x y$
24864	Simplify	(2 square root of 6i)/( square root of 2i)	$\frac{2 \sqrt{6} i}{\sqrt{2} i}$
24865	Simplify	3x^2-5xy-6y^2-2x^2-3xy+4y^2	$3 x^{2} - 5 x y - 6 y^{2} - 2 x^{2} - 3 x y + 4 y^{2}$
24866	Write in Exponential Form	- square root of (2x+1)^6	$- \sqrt{{(2 x + 1)}^{6}}$
24867	Find the GCF	22y	$22 y$
24868	Solve for b	y=(x-1)(x+b)	$y = (x - 1) (x + b)$
24869	Find the Asymptotes	g(x)=((x+3)(x-2))/((x+5)(2x-1))	$g (x) = \frac{(x + 3) (x - 2)}{(x + 5) (2 x - 1)}$
24870	Find dy/dx	-2x^2+1+xy^2=-2y^3	$- 2 x^{2} + 1 + x y^{2} = - 2 y^{3}$
24871	Solve for x	0=-5/4(x-6/5)	$0 = - \frac{5}{4} (x - \frac{6}{5})$
24872	Convert to Trigonometric Form	(cot(t))/(csc(t)-sin(t))	$\frac{\cot (t)}{\csc (t) - \sin (t)}$
24873	Evaluate	-4(3^3)+(10^2)/2	$- 4 (3^{3}) + \frac{10^{2}}{2}$
24874	Find the GCF	48ab^2 and 32a^2b	$48 a b^{2}$ and $32 a^{2} b$
24875	Solve for x	2/3x+5/6=3 1/3	$\frac{2}{3} x + \frac{5}{6} = 3 \frac{1}{3}$
24876	Graph	y-1<3x	$y - 1 < 3 x$
24877	Find the Third Term	a_n=4(4)^n	$a_{n} = 4 {(4)}^{n}$
24878	Find the Antiderivative	e^0	$e^{0}$
24879	Write in Standard Form	-9=-4x-7y	$- 9 = - 4 x - 7 y$
24880	Evaluate	i^6i^38i^25	$i^{6} \cdot i^{38} \cdot i^{25}$
24881	Evaluate	square root of 3+ square root of 36	$\sqrt{3 + \sqrt{36}}$
24882	Find the Norm	[[2],[4],[5],[6],[7]]	$[\begin{array}{c} 2 \\ 4 \\ 5 \\ 6 \\ 7 \end{array}]$
24883	Find the Excluded Values	(x^3(x+5))/(x-9)*((x-9)(x+8))/(3x^3)	$\frac{x^{3} (x + 5)}{x - 9} \cdot \frac{(x - 9) (x + 8)}{3 x^{3}}$
24884	Solve the System of Equations	4x-8y=-8 and 5x-9y=-7	$4 x - 8 y = - 8$ and $5 x - 9 y = - 7$
24885	Solve by Graphing	-3x+y=8 -x+y=-2	$- 3 x + y = 8$ $- x + y = - 2$
24886	Simplify	(x-y)/( square root of x- square root of y)	$\frac{x - y}{\sqrt{x} - \sqrt{y}}$
24887	Solve the Rational Equation for x	-6+ square root of x-5=-2	$- 6 + \sqrt{x - 5} = - 2$
24888	Convert to a Decimal	sin(585)deg	$\sin (585)$ degrees
24889	Find the Slope	p=15-1/4q	$p = 15 - \frac{1}{4} q$
24890	Evaluate the Limit	limit as x approaches infinity of 3/(2+e^(-x))	$lim_{x \to \infty} \frac{3}{2 + e^{- x}}$
24891	Evaluate	( square root of 20- square root of 3)( square root of 20+ square root of 3)	$(\sqrt{20} - \sqrt{3}) (\sqrt{20} + \sqrt{3})$
24892	Write the Fraction in Simplest Form	(10p^-2y^5)/(-2(p^4y^2)^4)	$\frac{10 p^{- 2} y^{5}}{- 2 {(p^{4} y^{2})}^{4}}$
24893	Factor	-16x^3y^2-8x^2y-24x^4y^4-40x^2y^3	$- 16 x^{3} y^{2} - 8 x^{2} y - 24 x^{4} y^{4} - 40 x^{2} y^{3}$
24894	Solve for w	v+w-x=y for w	$v + w - x = y$ for $w$
24895	Solve for x	x/2+(5x)/4=13/4	$\frac{x}{2} + \frac{5 x}{4} = \frac{13}{4}$
24896	Find the Degree	y^2+12-5y^3+y^2	$y^{2} + 12 - 5 y^{3} + y^{2}$
24897	Solve the Function Operation	f(x)=-x-9 if x!=-4; -4 if x=-4 Find f(-4)	$f (x) = {\begin{cases} - x - 9 & x \neq - 4 \\ - 4 & x = - 4 \end{cases}$ Find $f (- 4)$
24898	Find the Other Trig Values in Quadrant III	sec(theta)=-1	$\sec (θ) = - 1$
24899	Find the Antiderivative	f(x)=x^6+3x^2	$f (x) = x^{6} + 3 x^{2}$
24900	Solve the Function Operation	f(x)=x-6 if x!=5; 5 if x=5 Find f(5)	$f (x) = {\begin{cases} x - 6 & x \neq 5 \\ 5 & x = 5 \end{cases}$ Find $f (5)$