Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
24201	Solve for x	cube root of 3-8x^2=2x	$\sqrt[3]{3 - 8 x^{2}} = 2 x$
24202	Solve for x	2^(2x)=20-2^x	$2^{2 x} = 20 - 2^{x}$
24203	Simplify	(2a-4)/(3(a-2))	$\frac{2 a - 4}{3 (a - 2)}$
24204	Find the Slope	(-10,-7) and (-5,-9)	$(- 10, - 7)$ and $(- 5, - 9)$
24205	Solve for r	rt=w for r	$r t = w$ for $r$
24206	Find the Holes in the Graph	(x^2-4)/(x^2-5x+6)	$\frac{x^{2} - 4}{x^{2} - 5 x + 6}$
24207	Solve for x	36=(x^2-x)/2	$36 = \frac{x^{2} - x}{2}$
24208	Find Where Increasing/Decreasing	f(x)=-1/3x^6	$f (x) = - \frac{1}{3} x^{6}$
24209	Find the Antiderivative	e^(-3x)-4x+50	$e^{- 3 x} - 4 x + 50$
24210	Simplify	((4-x^2)/(x-2)*(x^2-25)/(x+2))÷((x^2+10x+25)/(x+5))	$\frac{4 - x^{2}}{x - 2} \cdot \frac{x^{2} - 25}{x + 2} \div \frac{x^{2} + 10 x + 25}{x + 5}$
24211	Find the Asymptotes	f(x)=3 log base 5 of -x+8-6	$f (x) = 3 \log_{5} (- x + 8) - 6$
24212	Find dy/dx	-xy=4+5y	$- x y = 4 + 5 y$
24213	Find the Holes in the Graph	1/(3x^2+3x-18)	$\frac{1}{3 x^{2} + 3 x - 18}$
24214	Find the Exact Value	sin(-pi/3)+cos((5pi)/4)	$\sin (- \frac{π}{3}) + \cos (\frac{5 π}{4})$
24215	Find the Tangent of the Angle	pi/3	$\frac{π}{3}$
24216	Find the Antiderivative	2/(5-2x)+2/x+3/(x^2)	$\frac{2}{5 - 2 x} + \frac{2}{x} + \frac{3}{x^{2}}$
24217	Solve for x	\|x-1\|-3<=0	$\| x - 1 \| - 3 \leq 0$
24218	Find the Derivative - d/dx	y^(xy)	$y^{x y}$
24219	Evaluate the Function	f(x)=4x+11 , f(c+7)	$f (x) = 4 x + 11$ , $f (c + 7)$
24220	Graph	Where does the polynomial y=x^2+2x+1 cross the x-axis ?	Where does the polynomial $y = x^{2} + 2 x + 1$ cross the $x - a x i s$ ?
24221	Solve the System of Inequalities	-2x+5<-3x-3 and -4x+9>=-5x+2	$- 2 x + 5 < - 3 x - 3$ and $- 4 x + 9 \geq - 5 x + 2$
24222	Solve the Inequality for x	3(x+1)<=3x+11	$3 (x + 1) \leq 3 x + 11$
24223	Find the Inflection Points	e^(-x)+2xe^(-x)+x^2e^(-x)	$e^{- x} + 2 x e^{- x} + x^{2} e^{- x}$
24224	Simplify	( square root of 3)/( square root of 2+ square root of 5)	$\frac{\sqrt{3}}{\sqrt{2} + \sqrt{5}}$
24225	Solve the Absolute Value Inequality for x	\|x\|-1>0	$\| x \| - 1 > 0$
24226	Solve the System of Equations	2x+3y=6 y=-2/3x+4	$2 x + 3 y = 6$ $y = - \frac{2}{3} x + 4$
24227	Verify the Identity	2(3x+7)=6x+14	$2 (3 x + 7) = 6 x + 14$
24228	Factor	y=3x^3-3x	$y = 3 x^{3} - 3 x$
24229	Evaluate the Integral	integral of x(3x+2)(x-3) with respect to x	$\int x (3 x + 2) (x - 3) d x$
24230	Solve for x	2^x=-2x+11	$2^{x} = - 2 x + 11$
24231	Simplify	square root of 9( square root of a^3+ square root of 7)a^3	$\sqrt{9} (\sqrt{a^{3}} + \sqrt{7}) a^{3}$
24232	Find the End Behavior	p(x)=5x^3-3x^2+x+10	$p (x) = 5 x^{3} - 3 x^{2} + x + 10$
24233	Find dy/dx	-1-x^3+xy+3y=0	$- 1 - x^{3} + x y + 3 y = 0$
24234	Simplify	2x*1/x	$2 x \cdot \frac{1}{x}$
24235	Find the Derivative - d/dx	y=cos(4x+5)	$y = \cos (4 x + 5)$
24236	Find the Excluded Values	(x+4)/(x-3)	$\frac{x + 4}{x - 3}$
24237	Write in Exponential Form	log base 2 of cube root of 2=1/3	$\log_{2} (\sqrt[3]{2}) = \frac{1}{3}$
24238	Multiply	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
24239	Simplify	(tan(A)^2+1)/(sec(A))	$\frac{\tan^{2} (A) + 1}{\sec (A)}$
24240	Solve for x	y = square root of ax	$y = \sqrt{a x}$
24241	Find the Asymptotes	f(x)=5* log of -x	$f (x) = 5 \cdot \log (- x)$
24242	Simplify	2(3xy)^3	$2 {(3 x y)}^{3}$
24243	Simplify	(-1+8i)/(-i)	$\frac{- 1 + 8 i}{- i}$
24244	Simplify	((6x^2-54x+84)/(8x^2-40x+48))÷((x^2+x-56)/(2x^2+12x-32))	$\frac{6 x^{2} - 54 x + 84}{8 x^{2} - 40 x + 48} \div \frac{x^{2} + x - 56}{2 x^{2} + 12 x - 32}$
24245	Solve the Inequality for y	-9<5-7y<=12	$- 9 < 5 - 7 y \leq 12$
24246	Solve the System of Equations	(x-3)^2+(y+2)^2=16 2x+2y=10	${(x - 3)}^{2} + {(y + 2)}^{2} = 16$ $2 x + 2 y = 10$
24247	Multiply	x^2(-9x^2+4)	$x^{2} (- 9 x^{2} + 4)$
24248	Simplify the Radical Expression	((x^2y^6)/(x^-1y^3))^(1/3)	${(\frac{x^{2} y^{6}}{x^{- 1} y^{3}})}^{\frac{1}{3}}$
24249	Simplify	(10fg^-5h^0)/(h^-2)	$\frac{10 f g^{- 5} h^{0}}{h^{- 2}}$
24250	Solve for d	3\|2d-9\|-10=3	$3 \| 2 d - 9 \| - 10 = 3$
24251	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-11x^3-12x^2+22x+15 is divided by x-3	Use synthetic division to find the result when $4 x^{4} - 11 x^{3} - 12 x^{2} + 22 x + 15$ is divided by $x - 3$
24252	Write the Fraction in Simplest Form	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
24253	Simplify	1/(x^2)-1/(x^3)	$\frac{1}{x^{2}} - \frac{1}{x^{3}}$
24254	Integrate Using u-Substitution	integral of (x^2-1)/( square root of 2x-1) with respect to x	$\int \frac{x^{2} - 1}{\sqrt{2 x - 1}} d x$
24255	Evaluate	(-105+(-35))*(-3+5)	$(- 105 + (- 35)) \cdot (- 3 + 5)$
24256	Find All Complex Solutions	4/(3x+1)=x/(2x+10)	$\frac{4}{3 x + 1} = \frac{x}{2 x + 10}$
24257	Find the Roots (Zeros)	x^4-2x^3-2x^2=0	$x^{4} - 2 x^{3} - 2 x^{2} = 0$
24258	Simplify	(2xy^(-3/2))/( fourth root of x^5y^4)	$\frac{2 x y^{- \frac{3}{2}}}{\sqrt[4]{x^{5} y^{4}}}$
24259	Find the Antiderivative	(x-1)/x	$\frac{x - 1}{x}$
24260	Write the Fraction in Simplest Form	((5m^4k^-1)^-4)/(2m^-3k^-9)	$\frac{{(5 m^{4} k^{- 1})}^{- 4}}{2 m^{- 3} k^{- 9}}$
24261	Solve for y	x=2/5y	$x = \frac{2}{5} y$
24262	Evaluate	4*(1/2)^0	$4 \cdot {(\frac{1}{2})}^{0}$
24263	Simplify	((3^74^7)(25)^-3(5^2))/(12^75^-12^-4)	$\frac{(3^{7} \cdot 4^{7}) {(2 \cdot 5)}^{- 3} (5^{2})}{12^{7} \cdot 5^{- 1} \cdot 2^{- 4}}$
24264	Divide	2x^11-6x^7-(10x^6)÷2x^3	$2 x^{11} - 6 x^{7} - 10 x^{6} \div 2 x^{3}$
24265	Evaluate the Integral	integral of 5(3-cos(x)^2)^-6sin(2x) with respect to x	$\int 5 {(3 - \cos^{2} (x))}^{- 6} \sin (2 x) d x$
24266	Evaluate the Limit	limit as x approaches 1 of (-e^x)/(x+4x^2)	$lim_{x \to 1} \frac{- e^{x}}{x + 4 x^{2}}$
24267	Simplify	2/(9x)-(2x)/3	$\frac{2}{9 x} - \frac{2 x}{3}$
24268	Solve for x	1/(x+1)+x/(1-x)=5/(x-1)	$\frac{1}{x + 1} + \frac{x}{1 - x} = \frac{5}{x - 1}$
24269	Find the Secant Given the Point	(( square root of 10)/10,-(3 square root of 10)/10)	$(\frac{\sqrt{10}}{10}, - \frac{3 \sqrt{10}}{10})$
24270	Evaluate	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10 + \sqrt{18}}}$
24271	Evaluate	-9÷3(63-(1+4))	$- 9 \div 3 \cdot (6 \cdot 3 - (1 + 4))$
24272	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+27x^2+29x+7 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 27 x^{2} + 29 x + 7$ is divided by $3 x + 1$
24273	Divide Using Synthetic Division	3x^3-5x+10 by x-1	$3 x^{3} - 5 x + 10$ by $x - 1$
24274	Simplify	(x+2)/(x-7)*(x^2-49)/(x^2+5x+6)	$\frac{x + 2}{x - 7} \cdot \frac{x^{2} - 49}{x^{2} + 5 x + 6}$
24275	Find the Roots (Zeros)	xe^x+e^x	$x e^{x} + e^{x}$
24276	Find the x and y Intercepts	f(x)=(x^2-7)(2x+1)^2(x+2)	$f (x) = (x^{2} - 7) {(2 x + 1)}^{2} (x + 2)$
24277	Find dy/dx	xy-x^3=2y^3	$x y - x^{3} = 2 y^{3}$
24278	Simplify	(x+1)(x)	$(x + 1) (x)$
24279	Find the Derivative - d/dx	302.2((103^x)/(100^x))	$302.2 (\frac{103^{x}}{100^{x}})$
24280	Find the Second Derivative	sin(x)-cos(x)	$\sin (x) - \cos (x)$
24281	Simplify	cos(40 degrees )^2-sin(40 degrees )^2	$\cos^{2} (40 °) - \sin^{2} (40 °)$
24282	Solve for n	(-1-n)^(4/5)=(3n+11)^(4/5)	${(- 1 - n)}^{\frac{4}{5}} = {(3 n + 11)}^{\frac{4}{5}}$
24283	Solve the System of Equations	-2x-y=6 and -7x-y=-4	$- 2 x - y = 6$ and $- 7 x - y = - 4$
24284	Simplify the Radical Expression	sixth root of (t^-8)/(t^-4)	$\sqrt[6]{\frac{t^{- 8}}{t^{- 4}}}$
24285	Solve for x	y = natural log of 3x	$y = \ln (3 x)$
24286	Simplify the Radical Expression	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
24287	Find the Inverse	h(x)=-2/(x-1)-3	$h (x) = - \frac{2}{x - 1} - 3$
24288	Solve for x	3^(2x)-5*3^x=-6	$3^{2 x} - 5 \cdot 3^{x} = - 6$
24289	Simplify	6/(7x)+2/(7x)-1/(7x)	$\frac{6}{7 x} + \frac{2}{7 x} - \frac{1}{7 x}$
24290	Factor by Grouping	x^2y-4y-5x^2+20	$x^{2} y - 4 y - 5 x^{2} + 20$
24291	Evaluate	80000/((3.5)^(3/2))e^(-(30/3.5+3.5-2))	$\frac{80000}{{(3.5)}^{\frac{3}{2}}} e^{- (\frac{30}{3.5} + 3.5 - 2)}$
24292	Find the x and y Intercepts	(9-x)/7=y	$\frac{9 - x}{7} = y$
24293	Multiply	(x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6)	$\frac{x^{2} - x - 2}{x + 1} \cdot \frac{x^{2} + 3 x}{x^{2} + x - 6}$
24294	Simplify	(x^-6y^9)/(xy^-3)*(x^-3)/(y^12)	$\frac{x^{- 6} y^{9}}{x y^{- 3}} \cdot \frac{x^{- 3}}{y^{12}}$
24295	Evaluate	x = square root of 3x+40	$x = \sqrt{3 x + 40}$
24296	Solve for x	x+3(x-1)=x+6	$x + 3 (x - 1) = x + 6$
24297	Simplify	(2u^4v^3)(-3c^5d^4)(1/2c^3u^2v^4)	$(2 u^{4} v^{3}) \cdot (- 3 c^{5} d^{4}) \cdot (\frac{1}{2} c^{3} u^{2} v^{4})$
24298	Find Amplitude, Period, and Phase Shift	3y=sin(2)(x+1)	$3 y = \sin (2) (x + 1)$
24299	Simplify	( square root of x+1)( square root of x+x)	$(\sqrt{x} + 1) (\sqrt{x} + x)$
24300	Divide	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$