Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
40101	Solve for x	9x^4+17x^2=2	$9 x^{4} + 17 x^{2} = 2$
40102	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+5x^2+11x+18 is divided by x+2	Use the long division method to find the result when $2 x^{3} + 5 x^{2} + 11 x + 18$ is divided by $x + 2$
40103	Simplify the Radical Expression	(4 square root of 3)/5-( square root of 3)/5+3/5 square root of 3	$\frac{4 \sqrt{3}}{5} - \frac{\sqrt{3}}{5} + \frac{3}{5} \sqrt{3}$
40104	Evaluate Using the Given Value	Evaluate 6+x if x=3	Evaluate $6 + x$ if $x = 3$
40105	Find the Antiderivative	(x^3+1)^2	${(x^{3} + 1)}^{2}$
40106	Solve for a	(6x^2)(4x^2)=a*x^b	$(6 x^{2}) (4 x^{2}) = a \cdot x^{b}$
40107	Solve for r	r^3-64=0	$r^{3} - 64 = 0$
40108	Evaluate the Limit	limit as x approaches 0 of \|x/(x+1)\|	$lim_{x \to 0} \| \frac{x}{x + 1} \|$
40109	Describe the Transformation	m(x)=4p(x-3)-5	$m (x) = 4 p (x - 3) - 5$
40110	Evaluate	6+(3(7)-3*6)	$6 + (3 (7) - 3 \cdot 6)$
40111	Find dy/dx	1-3y^2-xy^3=-x	$1 - 3 y^{2} - x y^{3} = - x$
40112	Evaluate the Integral	integral from e^49 to e^64 of 1/(x square root of natural log of x) with respect to x	$\int_{e^{49}}^{e^{64}} \frac{1}{x \sqrt{\ln (x)}} d x$
40113	Solve the Differential Equation	y''-y=0	$y'' - y = 0$
40114	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,8) and has a slope of 3/2 ?	What is the equation of the line that passes through the point $(4, 8)$ and has a slope of $\frac{3}{2}$ ?
40115	Evaluate the Limit	limit as x approaches negative infinity of (3x^3-10)/(x+4)	$lim_{x \to - \infty} \frac{3 x^{3} - 10}{x + 4}$
40116	Simplify	square root of 3( square root of 6-2 square root of 54)	$\sqrt{3} (\sqrt{6} - 2 \sqrt{54})$
40117	Solve for x	y = natural log of 7x	$y = \ln (7 x)$
40118	Simplify	-2n^-2*(-n)	$- 2 n^{- 2} \cdot (- n)$
40119	Evaluate	(-r-10)-(-4r^3+r^2+7r)	$(- r - 10) - (- 4 r^{3} + r^{2} + 7 r)$
40120	Find the LCM	16 and 24	$16$ and $24$
40121	Find the GCF	30x^5y^8z-18xy^4	$30 x^{5} y^{8} z - 18 x y^{4}$
40122	Find the Slope	(-7,4) and (2,-3)	$(- 7, 4)$ and $(2, - 3)$
40123	Multiply	7x^(3/2)*-14x^(1/3)	$7 x^{\frac{3}{2}} \cdot - 14 x^{\frac{1}{3}}$
40124	Find All Complex Solutions	\|x+4\|=x-1	$\| x + 4 \| = x - 1$
40125	Graph	x=2 square root of 3y	$x = 2 \sqrt{3 y}$
40126	Convert to Radical Form	x^(2/3)y^(-1/3)	$x^{\frac{2}{3}} y^{- \frac{1}{3}}$
40127	Simplify	((-2xy^-3)/(3x^-1))^4*(w^2y)^-2	${(\frac{- 2 x y^{- 3}}{3 x^{- 1}})}^{4} \cdot {(w^{2} y)}^{- 2}$
40128	Evaluate	(2^5- square root of 36)-45÷(3^2)+8	$(2^{5} - \sqrt{36}) - 45 \div 3^{2} + 8$
40129	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3-4x^2-19x+12 is divided by x-4	Use synthetic division to find the result when $2 x^{3} - 4 x^{2} - 19 x + 12$ is divided by $x - 4$
40130	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+5x^2+17x+10 is divided by 3x+2	Use the long division method to find the result when $3 x^{3} + 5 x^{2} + 17 x + 10$ is divided by $3 x + 2$
40131	Find the LCD	6/(5x+8) and 5/x	$\frac{6}{5 x + 8}$ and $\frac{5}{x}$
40132	Find the Derivative - d/dx	square root of 3sin(x)+cos(x)	$\sqrt{3} \sin (x) + \cos (x)$
40133	Factor	-6x^4y-9x^3y^2+3x^2y^3	$- 6 x^{4} y - 9 x^{3} y^{2} + 3 x^{2} y^{3}$
40134	Convert to Interval Notation	x<=-3 or x>1	$x \leq - 3$ or $x > 1$
40135	Find the GCF	-24a^2b^2+36ab-60a	$- 24 a^{2} b^{2} + 36 a b - 60 a$
40136	Solve for x	1-2(6-x)=3x+2	$1 - 2 (6 - x) = 3 x + 2$
40137	Evaluate the Function	f(x)=x^2-4x-2 at x=1	$f (x) = x^{2} - 4 x - 2$ at $x = 1$
40138	Find the Geometric Mean	9 and 16	$9$ and $16$
40139	Solve the System of Equations	5x-2y=3 y=2x	$5 x - 2 y = 3$ $y = 2 x$
40140	Simplify	((4x^-3y^2)^2)/((2x^3y^5)^0)	$\frac{{(4 x^{- 3} y^{2})}^{2}}{{(2 x^{3} y^{5})}^{0}}$
40141	Graph	-(x+3)(x+1)(x-2)	$- (x + 3) (x + 1) (x - 2)$
40142	Find the Distance Between Two Points	(-1,7) and (9,5)	$(- 1, 7)$ and $(9, 5)$
40143	Simplify	(2x)/3+(x+3)/(3x+18)	$\frac{2 x}{3} + \frac{x + 3}{3 x + 18}$
40144	Convert from Radians to Degrees	3*180/pi	$3 \cdot \frac{180}{π}$
40145	Graph	-3/2 square root of x	$- \frac{3}{2} \sqrt{x}$
40146	Find the Exact Value	(3^-8*7^3)^-2	${(3^{- 8} \cdot 7^{3})}^{- 2}$
40147	Simplify	-2 square root of 64+5 square root of -64+ cube root of -729	$- 2 \sqrt{64} + 5 \sqrt{- 64} + \sqrt[3]{- 729}$
40148	Simplify	(x^2-25)^3-15(x^2-25)^2+75(x^2-25)-125	${(x^{2} - 25)}^{3} - 15 {(x^{2} - 25)}^{2} + 75 (x^{2} - 25) - 125$
40149	Solve the System of Equations	x^2+(y+3)^2=25 x-y=4	$x^{2} + {(y + 3)}^{2} = 25$ $x - y = 4$
40150	Find the Product	(-18m^2n)^2(-1/6mn^2)	${(- 18 m^{2} n)}^{2} (- \frac{1}{6} m n^{2})$
40151	Simplify	square root of square root of square root of 256/6561	$\sqrt{\sqrt{\sqrt{\frac{256}{6561}}}}$
40152	Evaluate	cos(arcsin(10x))	$\cos (\arcsin (10 x))$
40153	Simplify	(0.25x^(1/4))^2(12x^3)	${(0.25 x^{\frac{1}{4}})}^{2} (12 x^{3})$
40154	Find All Complex Solutions	square root of 2y+3+4=2	$\sqrt{2 y + 3} + 4 = 2$
40155	Evaluate	48/y=6/(1/8)	$\frac{48}{y} = \frac{6}{\frac{1}{8}}$
40156	Find the Antiderivative	f(x)=cot(x)(-8sin(x)-10csc(x))	$f (x) = \cot (x) (- 8 \sin (x) - 10 \csc (x))$
40157	Evaluate	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
40158	Simplify the Radical Expression	( square root of a^9)/( fifth root of a^6)	$\frac{\sqrt{a^{9}}}{\sqrt[5]{a^{6}}}$
40159	Simplify	( square root of x square root of y)/( fifth root of x^2y)	$\frac{\sqrt{x \sqrt{y}}}{\sqrt[5]{x^{2} y}}$
40160	Solve for x	\|3x\|+5<4	$\| 3 x \| + 5 < 4$
40161	Simplify	(5y^3)/(x^2)+4x	$\frac{5 y^{3}}{x^{2}} + 4 x$
40162	Simplify	((a^7)/(2b))^5	${(\frac{a^{7}}{2 b})}^{5}$
40163	Find the Other Trig Values in Quadrant II	sec(theta)=- square root of 5	$\sec (θ) = - \sqrt{5}$
40164	Evaluate the Limit	limit as x approaches infinity of -1+x^2-x^3+3x^4	$lim_{x \to \infty} - 1 + x^{2} - x^{3} + 3 x^{4}$
40165	Simplify the Radical Expression	cube root of a/b	$\sqrt[3]{\frac{a}{b}}$
40166	Find Where Increasing/Decreasing	f(x)=-1/4e^(x-3)	$f (x) = - \frac{1}{4} e^{x - 3}$
40167	Convert to a Decimal	cos(90)deg	$\cos (90)$ degrees
40168	Solve for x	9x^5-72x^2=0	$9 x^{5} - 72 x^{2} = 0$
40169	Evaluate the Integral	integral from 0 to 1 of 2/7x^3+1/5x^2+1/2x with respect to x	$\int_{0}^{1} \frac{2}{7} x^{3} + \frac{1}{5} x^{2} + \frac{1}{2} x d x$
40170	Add	3^2+5(5-2)	$3^{2} + 5 (5 - 2)$
40171	Find the Derivative - d/dx	xe^x-x	$x e^{x} - x$
40172	Simplify	( square root of 32)/3+(4 square root of 2)/3-( square root of 2)/( square root of 9)	$\frac{\sqrt{32}}{3} + \frac{4 \sqrt{2}}{3} - \frac{\sqrt{2}}{\sqrt{9}}$
40173	Simplify	((36x^-8y^3)/(9x^2y))^(3/2)	${(\frac{36 x^{- 8} y^{3}}{9 x^{2} y})}^{\frac{3}{2}}$
40174	Solve for x	x^2=4(x-3)^2	$x^{2} = 4 {(x - 3)}^{2}$
40175	Find the Slope	(-10,3) and (-8,-8)	$(- 10, 3)$ and $(- 8, - 8)$
40176	Simplify	2(2/3)-5(1/4)	$2 (\frac{2}{3}) - 5 (\frac{1}{4})$
40177	Find the Sine of the Angle	(7pi)/6	$\frac{7 π}{6}$
40178	Solve for h	t = square root of (2h)/g	$t = \sqrt{\frac{2 h}{g}}$
40179	Solve for vբ	a=(v_f-v_i)/t	$a = \frac{v_{f} - v_{i}}{t}$
40180	Simplify	x^-1y^-4z^-1*zx^-1	$x^{- 1} y^{- 4} z^{- 1} \cdot z x^{- 1}$
40181	Simplify	cube root of 54+ cube root of 40+ cube root of 16	$\sqrt[3]{54} + \sqrt[3]{40} + \sqrt[3]{16}$
40182	Simplify	plus or minus square root of -70	$\pm \sqrt{- 70}$
40183	Simplify	(4x^2-3x+10)+(x^2+x)	$(4 x^{2} - 3 x + 10) + (x^{2} + x)$
40184	Find the Derivative - d/dy	2ye^(y^2)	$2 y e^{y^{2}}$
40185	Solve the Inequality for c	a=b(1/c-1/d)	$a = b (\frac{1}{c} - \frac{1}{d})$
40186	Describe the Transformation	g(x)=- cube root of x-1	$g (x) = - \sqrt[3]{x} - 1$
40187	Find the GCF	18 and 54	$18$ and $54$
40188	Find the Derivative - d/dx	y=(1-cos(4x))/(sin(4x))	$y = \frac{1 - \cos (4 x)}{\sin (4 x)}$
40189	Find the Product	(f+g)(2)	$(f + g) (2)$
40190	Simplify	(1+2tan(a)^2+tan(a)^4)/(sec(a)^4)	$\frac{1 + 2 \tan^{2} (a) + \tan^{4} (a)}{\sec^{4} (a)}$
40191	Find the Quotient	(9x^2+3x^3-14)÷(x^2+x-3)	$(9 x^{2} + 3 x^{3} - 14) \div (x^{2} + x - 3)$
40192	Simplify	(a+1)/(a/5)	$\frac{a + 1}{\frac{a}{5}}$
40193	Solve the Inequality for x	ax+b>c	$a x + b > c$
40194	Find the Multiples	multiples of 6	multiples of $6$
40195	Solve for x	-f(x)=3x^2+2x-2	$- f (x) = 3 x^{2} + 2 x - 2$
40196	Find the Domain	f(x)=x+6 if x<=3; x^2 if x>3	$f (x) = {\begin{cases} x + 6 & x \leq 3 \\ x^{2} & x > 3 \end{cases}$
40197	Simplify the Radical Expression	( square root of 9x^2y^4)/(4x^(-3/2)y^4)	$\frac{\sqrt{9 x^{2} y^{4}}}{4 x^{- \frac{3}{2}} y^{4}}$
40198	Graph	(-x)^3	${(- x)}^{3}$
40199	Simplify	2y(3x+5y-4)	$2 y (3 x + 5 y - 4)$
40200	Find the x and y Intercepts	(x-1)(x-1)(x-1)=y	$(x - 1) (x - 1) (x - 1) = y$