Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32001	Solve for x	square root of 79-5x=6x+4	$\sqrt{79 - 5 x} = 6 x + 4$
32002	Subtract	(x^3-3x+1)-(x^3+7-12x)	$(x^{3} - 3 x + 1) - (x^{3} + 7 - 12 x)$
32003	Find the Exact Value	tan(arccos(x/3))	$\tan (\arccos (\frac{x}{3}))$
32004	Find the Second Derivative	f(x)=1/4x^-3-2/3-2/3x^6+1/2x^4	$f (x) = \frac{1}{4} x^{- 3} - \frac{2}{3} - \frac{2}{3} x^{6} + \frac{1}{2} x^{4}$
32005	Simplify	7x+2-5x^2-2x	$7 x + 2 - 5 x^{2} - 2 x$
32006	Solve in Terms of the Arbitrary Variable k	kx-3y=4 4x-5y=7	$k x - 3 y = 4$ $4 x - 5 y = 7$
32007	Solve the System of Equations	y=x^2+x+9 3x+y=9	$y = x^{2} + x + 9$ $3 x + y = 9$
32008	Simplify	(2- square root of 5)/(2+3 square root of 5)	$\frac{2 - \sqrt{5}}{2 + 3 \sqrt{5}}$
32009	Simplify	(a^(m/2)b^(n/3))^-6	${(a^{\frac{m}{2}} b^{\frac{n}{3}})}^{- 6}$
32010	Simplify	((x-7)^2)/(x^2-9x+14)	$\frac{{(x - 7)}^{2}}{x^{2} - 9 x + 14}$
32011	Graph	y^2-6y+8x=15	$y^{2} - 6 y + 8 x = 15$
32012	Simplify	(4^-2)(-2^2)	$(4^{- 2}) (- 2^{2})$
32013	Factor	x^4-x=0	$x^{4} - x = 0$
32014	Convert to a Percentage	38 is what percent of 40	$38$ is what percent of $40$
32015	Solve the System of Equations	x+y=-8 and -9x-6y=60	$x + y = - 8$ and $- 9 x - 6 y = 60$
32016	Graph	f(x)=-2x^(1/4)	$f (x) = - 2 x^{\frac{1}{4}}$
32017	Solve for p	-2/3p+8/3=-3p	$- \frac{2}{3} p + \frac{8}{3} = - 3 p$
32018	Solve the Function Operation	Given that f(x)=x^2-3x-54 and g(x)=x-9 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 3 x - 54$ and $g (x) = x - 9$ ; find $(f \div g) (x)$ and express the result in standard form.
32019	Find the Derivative - d/dx	1/(1-e^(-x))	$\frac{1}{1 - e^{- x}}$
32020	Find the Domain and Range	y=5cos(3x-pi)-4	$y = 5 \cos (3 x - π) - 4$
32021	Solve for x	x^5+x^3+x=3	$x^{5} + x^{3} + x = 3$
32022	Simplify	((2x+10)/(4x))÷((x^2+8x+15)/(6x^2))	$\frac{2 x + 10}{4 x} \div \frac{x^{2} + 8 x + 15}{6 x^{2}}$
32023	Simplify	(6z^3)/( square root of 16z^7)	$\frac{6 z^{3}}{\sqrt{16 z^{7}}}$
32024	Simplify	(3ab)/(6a^2b-12ab^2)	$\frac{3 a b}{6 a^{2} b - 12 a b^{2}}$
32025	Simplify the Radical Expression	3 fourth root of 8*7 fourth root of 32	$3 \sqrt[4]{8} \cdot 7 \sqrt[4]{32}$
32026	Solve for x	x^3-7x^2=28-4x	$x^{3} - 7 x^{2} = 28 - 4 x$
32027	Find the Derivative Using Chain Rule - d/dx	y=arctan(4x^2-3)	$y = \arctan (4 x^{2} - 3)$
32028	Solve for w	6(-2w-3)=-4(3w+7)+10	$6 (- 2 w - 3) = - 4 (3 w + 7) + 10$
32029	Simplify	(9 2/3*3 5/3)/(6^2)	$\frac{9 \frac{2}{3} \cdot 3 \frac{5}{3}}{6^{2}}$
32030	Find the Center and Radius	x^2-12x+84=-y^2+16y	$x^{2} - 12 x + 84 = - y^{2} + 16 y$
32031	Find the GCF	4 and 12	$4$ and $12$
32032	Solve for x	(3x)/2+5/8=x/4	$\frac{3 x}{2} + \frac{5}{8} = \frac{x}{4}$
32033	Simplify/Condense	(cos(-x))/(tan(-x))+sin(-x)	$\frac{\cos (- x)}{\tan (- x)} + \sin (- x)$
32034	Simplify	2x^-3(x^5-2x^3)	$2 x^{- 3} (x^{5} - 2 x^{3})$
32035	Find the Domain	m(x) = square root of x-4	$m (x) = \sqrt{x - 4}$
32036	Simplify	square root of 5x+ cube root of 81x- square root of 45x- cube root of 27x	$\sqrt{5 x} + \sqrt[3]{81 x} - \sqrt{45 x} - \sqrt[3]{27 x}$
32037	Evaluate the Integral	integral of e^(x^2+4x+3)(x+2) with respect to x	$\int e^{x^{2} + 4 x + 3} (x + 2) d x$
32038	Evaluate the Integral	integral of 1/((x^2-1)^2) with respect to x	$\int \frac{1}{{(x^{2} - 1)}^{2}} d x$
32039	Find the Derivative - d/dx	y=3e^pi-pi^3	$y = 3 e^{π} - π^{3}$
32040	Solve for p	square root of 11-p- square root of 2+p=-1	$\sqrt{11 - p} - \sqrt{2 + p} = - 1$
32041	Solve the System of Equations	4x+y=0 2y+x=-7	$4 x + y = 0$ $2 y + x = - 7$
32042	Solve for y	2y=y+19	$2 y = y + 19$
32043	Find the x and y Intercepts	y=(x^2)/((x+6)(x-4))	$y = \frac{x^{2}}{(x + 6) (x - 4)}$
32044	Find the Other Trig Values in Quadrant III	sec(theta)=- square root of 5	$\sec (θ) = - \sqrt{5}$
32045	Describe the Transformation	f(x)=2 square root of x-1	$f (x) = 2 \sqrt{x - 1}$
32046	Solve for x	1/6x+2/3x+4=x+2	$\frac{1}{6} x + \frac{2}{3} x + 4 = x + 2$
32047	Solve the Rational Equation for x	-(x^2+x-8)/((x-3)(x+5))=x/(x-3)	$- \frac{x^{2} + x - 8}{(x - 3) (x + 5)} = \frac{x}{x - 3}$
32048	Solve for m	(1/7)/(3/4)=(1/6)/m	$\frac{\frac{1}{7}}{\frac{3}{4}} = \frac{\frac{1}{6}}{m}$
32049	Write in Standard Form	(x-4)^2-5(x-4)-3	${(x - 4)}^{2} - 5 (x - 4) - 3$
32050	Find the Average Value of the Function	f(x)=x*e^x , [0,1]	$f (x) = x \cdot e^{x}$ , $[0, 1]$
32051	Eliminate the Parameter	x(t)=t^2-4t and y(t)=2t^3-6t	$x (t) = t^{2} - 4 t$ and $y (t) = 2 t^{3} - 6 t$
32052	Simplify the Radical Expression	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
32053	Graph	y<=x+3 and y>=-2x-2	$y \leq x + 3$ and $y \geq - 2 x - 2$
32054	Simplify	(-4i)^11	${(- 4 i)}^{11}$
32055	Simplify	(x^4-1)/(x^2-1)	$\frac{x^{4} - 1}{x^{2} - 1}$
32056	Simplify the Radical Expression	fourth root of (x^24y^4)/16	$\sqrt[4]{\frac{x^{24} y^{4}}{16}}$
32057	Solve the Inequality for x	3(x-2)<3-2(2x-6)	$3 (x - 2) < 3 - 2 (2 x - 6)$
32058	Write in Standard Form	5-3/4x=7/12	$5 - \frac{3}{4} x = \frac{7}{12}$
32059	Graph	x+y<2 4x+y<-1	$x + y < 2$ $4 x + y < - 1$
32060	Convert to Radical Form	((a^2+3)^(1/3))/((a^2-3)^(-1/3))	$\frac{{(a^{2} + 3)}^{\frac{1}{3}}}{{(a^{2} - 3)}^{- \frac{1}{3}}}$
32061	Find the Domain	square root of (x^2)/(x+1)	$\sqrt{\frac{x^{2}}{x + 1}}$
32062	Evaluate the Integral	integral of 1/(3+4x^2)(8x) with respect to x	$\int \frac{1}{3 + 4 x^{2}} (8 x) d x$
32063	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+17x^2+19x+28 is divided by 3x+7	Use the long division method to find the result when $6 x^{3} + 17 x^{2} + 19 x + 28$ is divided by $3 x + 7$
32064	Solve for y	limit as x approaches 1 of (x^2-y^2)/(x+2)=-1	$lim_{x \to 1} \frac{x^{2} - y^{2}}{x + 2} = - 1$
32065	Simplify	(5x^2-8+2x)-(x+9x^2+5)	$(5 x^{2} - 8 + 2 x) - (x + 9 x^{2} + 5)$
32066	Find the Inverse	A(r)=pir^2	$A (r) = π r^{2}$
32067	Solve for x	(x-2)/5+8=11	$\frac{x - 2}{5} + 8 = 11$
32068	Divide	( square root of 2)/( square root of 2)	$\frac{\sqrt{2}}{\sqrt{2}}$
32069	Solve for y	-4-3y^2=-10	$- 4 - 3 y^{2} = - 10$
32070	Evaluate	4(5-(-9)*4+2)	$4 (5 - (- 9) \cdot 4 + 2)$
32071	Evaluate	(x^3-x^2-x)(x^3+x^2+x)	$(x^{3} - x^{2} - x) (x^{3} + x^{2} + x)$
32072	Solve for R	V = square root of (2GM)/R	$V = \sqrt{\frac{2 G M}{R}}$
32073	Graph	y=x^3+x^2-4x-4	$y = x^{3} + x^{2} - 4 x - 4$
32074	Verify the Identity	cos(x)^3sin(x)^2=(sin(x)^2-sin(x)^4)cos(x)	$\cos^{3} (x) \sin^{2} (x) = (\sin^{2} (x) - \sin^{4} (x)) \cos (x)$
32075	Convert to Interval Notation	-4<(4-3x)/2<-1	$- 4 < \frac{4 - 3 x}{2} < - 1$
32076	Solve the Inequality for p	2<=-8+p/2	$2 \leq - 8 + \frac{p}{2}$
32077	Identify the Sequence	-1 , 6 , -36 , 216 ; dots	$- 1$ , $6$ , $- 36$ , $216$ ; dots
32078	Find dz/dx	z=x^y	$z = x^{y}$
32079	Write in Slope-Intercept Form	(-2,4) and (3,-1)	$(- 2, 4)$ and $(3, - 1)$
32080	Solve for a	4/(a-3)=2/5	$\frac{4}{a - 3} = \frac{2}{5}$
32081	Solve for x	log base 3 of x+6=2 log base 3 of x	$\log_{3} (x + 6) = 2 \log_{3} (x)$
32082	Find Amplitude, Period, and Phase Shift	y=3sin(2x+3pi)-1	$y = 3 \sin (2 x + 3 π) - 1$
32083	Solve for x	4/9x^2-4/3x=-1	$\frac{4}{9} x^{2} - \frac{4}{3} x = - 1$
32084	Simplify	square root of 45n^3	$\sqrt{45} n^{3}$
32085	Solve the System of Inequalities	-3m<6 and 4m>24	$- 3 m < 6$ and $4 m > 24$
32086	Evaluate the Limit	limit as x approaches 1 of (2+4x)/3=2	$lim_{x \to 1} \frac{2 + 4 x}{3} = 2$
32087	Solve for x	(x+6)/(4x^2)=(x+1)/(2x^2)	$\frac{x + 6}{4 x^{2}} = \frac{x + 1}{2 x^{2}}$
32088	Evaluate the Integral	integral of (6x square root of 2x^2-7)/5 with respect to x	$\int \frac{6 x \sqrt{2 x^{2} - 7}}{5} d x$
32089	Solve for r	16=4/3pir^3	$16 = \frac{4}{3} π r^{3}$
32090	Evaluate the Function	h(-8)=(x^2+3x)/(4x+27)	$h (- 8) = \frac{x^{2} + 3 x}{4 x + 27}$
32091	Simplify	i^3-i(2-i)	$i^{3} - i (2 - i)$
32092	Find the Inflection Points	3/20x^5-2x^4	$\frac{3}{20} x^{5} - 2 x^{4}$
32093	Solve for a	x^2+2x-7=(x+a)^2+b	$x^{2} + 2 x - 7 = {(x + a)}^{2} + b$
32094	Convert to Interval Notation	3/4x+7<1 or 9(4-x)<=36	$\frac{3}{4} x + 7 < 1$ or $9 (4 - x) \leq 36$
32095	Evaluate	85% of 40	$85 %$ of $40$
32096	Solve the System of Equations	-x-y=-4 and -2x+4y=4	$- x - y = - 4$ and $- 2 x + 4 y = 4$
32097	Simplify	square root of (50x^3y)/(2xy^7)	$\sqrt{\frac{50 x^{3} y}{2 x y^{7}}}$
32098	Evaluate	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x + 1) = \log_{5} (4 x - 7)$
32099	Find the Derivative - d/dx	y = square root of 100	$y = \sqrt{100}$
32100	Simplify	sin(theta)tan(theta)cot(theta)csc(theta)	$\sin (θ) \tan (θ) \cot (θ) \csc (θ)$