Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
45301	Solve the Function Operation	f(x)=(( cube root of x)/10)^5 ; find f^-1(x)	$f (x) = {(\frac{\sqrt[3]{x}}{10})}^{5}$ ; find $f^{- 1} (x)$
45302	Simplify	((x^2y)^(1/4))/(x^(-1/2)y^(1/2))	$\frac{{(x^{2} y)}^{\frac{1}{4}}}{x^{- \frac{1}{2}} y^{\frac{1}{2}}}$
45303	Solve for u	29=-3u-5u-27	$29 = - 3 u - 5 u - 27$
45304	Evaluate the Limit	limit as x approaches 2 of ( natural log of x+3- natural log of 5)/(x-2)	$lim_{x \to 2} \frac{\ln (x + 3) - \ln (5)}{x - 2}$
45305	Solve for x	(5+x)k=z	$(5 + x) k = z$
45306	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 $3$ ?
45307	Evaluate	(34)÷2+(120-2)	$3 \times 4 \div 2 + (12 \times 0 - 2)$
45308	Simplify	y^-6y^5y^0	$y^{- 6} \cdot y^{5} \cdot y^{0}$
45309	Find Trig Functions Using Identities	sin(theta)=(2 square root of 5)/5 , cos(theta)=( square root of 5)/5	$\sin (θ) = \frac{2 \sqrt{5}}{5}$ , $\cos (θ) = \frac{\sqrt{5}}{5}$
45310	Solve for x	2^(x+1)+2^x=3^(y+2)-3^y	$2^{x + 1} + 2^{x} = 3^{y + 2} - 3^{y}$
45311	Find the Asymptotes	f(x)=(x^2-5x)/(x-5)	$f (x) = \frac{x^{2} - 5 x}{x - 5}$
45312	Simplify	square root of 9a^6bc^3	$\sqrt{9 a^{6} b c^{3}}$
45313	Simplify	(t^2+3)/(t^4-16)+7/(16-t^4)	$\frac{t^{2} + 3}{t^{4} - 16} + \frac{7}{16 - t^{4}}$
45314	Graph	2/3h>14	$\frac{2}{3} h > 14$
45315	Solve the Inequality for B	12B>36	$12 B > 36$
45316	Solve by Graphing	y=(x-3)^2+5 y=5	$y = {(x - 3)}^{2} + 5$ $y = 5$
45317	Solve for x in Radians	csc(x)^2+csc(x)=2	$\csc^{2} (x) + \csc (x) = 2$
45318	Evaluate	36^(2x-7)=6^(x-5)	$36^{2 x - 7} = 6^{x - 5}$
45319	Evaluate Using the Given Value	y-(4-x-y÷2) ; use x=3 ; and y=2	$y - (4 - x - y \div 2)$ ; use $x = 3$ ; and $y = 2$
45320	Simplify the Radical Expression	fourth root of 10^5x	$\sqrt[4]{10^{5} x}$
45321	Find the Points of Intersection	8x-2y=5 -12x+3y=7	$8 x - 2 y = 5$ $- 12 x + 3 y = 7$
45322	Solve for x	x+5 = log base 4 of 256	$x + 5 = \log_{4} (256)$
45323	Solve for n	square root of -30+11n=n	$\sqrt{- 30 + 11 n} = n$
45324	Write in Standard Form	12x^3+5x^6+4x^5-2x^8	$12 x^{3} + 5 x^{6} + 4 x^{5} - 2 x^{8}$
45325	Graph	y=csc(pi-x)	$y = \csc (π - x)$
45326	Find the Roots (Zeros)	(x-1)	$(x - 1)$
45327	Identify the Zeros and Their Multiplicities	f(x)=7(x^2+1)^2(x-4)^3	$f (x) = 7 {(x^{2} + 1)}^{2} {(x - 4)}^{3}$
45328	Simplify	7/(5-u)-(2+u)/(5-u)	$\frac{7}{5 - u} - \frac{2 + u}{5 - u}$
45329	Solve for x	2x^2-4x=t	$2 x^{2} - 4 x = t$
45330	Graph	y=2^y	$y = 2^{y}$
45331	Simplify	3*3^3	$3 \times 3^{3}$
45332	Simplify	y/(x^3)+xy	$\frac{y}{x^{3}} + x y$
45333	Solve for c	7(-3c+10)=4(-6c+18)+10	$7 (- 3 c + 10) = 4 (- 6 c + 18) + 10$
45334	Simplify the Radical Expression	(27x^12y^-21)^(2/3)	${(27 x^{12} y^{- 21})}^{\frac{2}{3}}$
45335	Find the Reference Angle	csc(-pi/3)	$\csc (- \frac{π}{3})$
45336	Evaluate	-csc(pi/3)	$- \csc (\frac{π}{3})$
45337	Write in Standard Form	-7-(4-5i)-(2-4i)	$- 7 - (4 - 5 i) - (2 - 4 i)$
45338	Evaluate the Integral	integral from pi/4 to pi/2 of -3cot(x)csc(x)^2 with respect to x	$\int_{\frac{π}{4}}^{\frac{π}{2}} - 3 \cot (x) \csc^{2} (x) d x$
45339	Simplify	9yi^4+yi	$9 y i^{4} + y i$
45340	Find the Derivative - d/dt	arctan(pi/2-t/10)	$\arctan (\frac{π}{2} - \frac{t}{10})$
45341	Simplify	12x-(7y-8x)+4x-11y	$12 x - (7 y - 8 x) + 4 x - 11 y$
45342	Find the Asymptotes	h(x)=(2x^2-5)/(3x^3+2x)	$h (x) = \frac{2 x^{2} - 5}{3 x^{3} + 2 x}$
45343	Write in Standard Form	x+3x^2=8x+6	$x + 3 x^{2} = 8 x + 6$
45344	Find the Points of Intersection	x+2y=-1 2x+4y=-2	$x + 2 y = - 1$ $2 x + 4 y = - 2$
45345	Find Where Increasing/Decreasing	y=-2^(x+2)+1	$y = - 2^{x + 2} + 1$
45346	Simplify the Radical Expression	square root of 27+ square root of 75	$\sqrt{27} + \sqrt{75}$
45347	Factor	xy^2-by^2-ax+ab+y^2-a	$x y^{2} - b y^{2} - a x + a b + y^{2} - a$
45348	Simplify	-6yi-9xi^4	$- 6 y i - 9 x i^{4}$
45349	Evaluate	(y^-7)/(x^7x^8y^-7)	$\frac{y^{- 7}}{x^{7} x^{8} y^{- 7}}$
45350	Solve the Inequality for x	-x^2-9x+36>=-4x	$- x^{2} - 9 x + 36 \geq - 4 x$
45351	Solve the Rational Equation for x	square root of 2x-1+3=6	$\sqrt{2 x - 1} + 3 = 6$
45352	Simplify	x^-3y^2x^-4y^24y^-1	$x^{- 3} y^{2} \cdot x^{- 4} y^{2} \cdot 4 y^{- 1}$
45353	Find the Exact Value	(-( square root of 2)/2)/(( square root of 2)/2)	$\frac{- \frac{\sqrt{2}}{2}}{\frac{\sqrt{2}}{2}}$
45354	Evaluate the Integral	integral of (sec(x)^2)/(tan(x)^2) with respect to x	$\int \frac{\sec^{2} (x)}{\tan^{2} (x)} d x$
45355	Evaluate the Function	f(x)=3x^3-7x^2-5x+7 , f(9)	$f (x) = 3 x^{3} - 7 x^{2} - 5 x + 7$ , $f (9)$
45356	Solve for x	(x+3)/x-(x+1)/(x+4)=5/x	$\frac{x + 3}{x} - \frac{x + 1}{x + 4} = \frac{5}{x}$
45357	Find the Roots (Zeros)	y=2cos(x)	$y = 2 \cos (x)$
45358	Evaluate the Limit	limit as x approaches infinity of (x-1)/(x^2+x+1)	$lim_{x \to \infty} \frac{x - 1}{x^{2} + x + 1}$
45359	Solve for x	4x^2-4x=-4x+1	$4 x^{2} - 4 x = - 4 x + 1$
45360	Find the x and y Intercepts	(x-2)^2+y^2=13	${(x - 2)}^{2} + y^{2} = 13$
45361	Solve the System of Equations	4x^2+y=3 -x-y=11	$4 x^{2} + y = 3$ $- x - y = 11$
45362	Factor	r^6s^6+27s^3	$r^{6} s^{6} + 27 s^{3}$
45363	Multiply	9x-7i>3(3x-7u)	$9 x - 7 i > 3 (3 x - 7 u)$
45364	Graph	-28<=2y<=-22	$- 28 \leq 2 y \leq - 22$
45365	Solve the Inequality for m	m/-8<=-2.4	$\frac{m}{- 8} \leq - 2.4$
45366	Expand the Logarithmic Expression	log base 2 of (9x^5)/(4y^3)	$\log_{2} (\frac{9 x^{5}}{4 y^{3}})$
45367	Solve for A	cos(2A)=-2/3	$\cos (2 A) = \frac{- 2}{3}$
45368	Graph	\|2x-3\|>=-1	$\| 2 x - 3 \| \geq - 1$
45369	Plot	x+y<=5	$x + y \leq 5$
45370	Write Using Positive Exponents	(3^6)/(3^-4)*3^-1	$\frac{3^{6}}{3^{- 4}} \cdot 3^{- 1}$
45371	Simplify	square root of -3* square root of -12* square root of -4	$\sqrt{- 3} \cdot \sqrt{- 12} \cdot \sqrt{- 4}$
45372	Find the Slope and y-intercept	y+1/2x=-4	$y + \frac{1}{2} x = - 4$
45373	Simplify	(x^3+11x^2+18x)/(x^2+x-2)	$\frac{x^{3} + 11 x^{2} + 18 x}{x^{2} + x - 2}$
45374	Solve the Inequality for x	-5(2x-4)<=2-x	$- 5 (2 x - 4) \leq 2 - x$
45375	Simplify	-6x-2(-5x+9)-3x	$- 6 x - 2 (- 5 x + 9) - 3 x$
45376	Factor by Grouping	81m+48mn	$81 m + 48 m n$
45377	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-7) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(4, - 7)$ and has a slope of $- \frac{1}{2}$ ?
45378	Solve for x	((2x)^2)/((1.00-x)(2.00-x))=50.5	$\frac{{(2 x)}^{2}}{(1 - x) (2 - x)} = 50.5$
45379	Solve the Inequality for x	-2x^2+24x>-4x+96	$- 2 x^{2} + 24 x > - 4 x + 96$
45380	Find All Complex Solutions	7z^2+8z+3=3z^2	$7 z^{2} + 8 z + 3 = 3 z^{2}$
45381	Graph Using a Table of Values	f(x)=-(1/2)^(x-2)-8	$f (x) = - {(\frac{1}{2})}^{x - 2} - 8$
45382	Find Where Increasing/Decreasing	y=2x-3	$y = 2 x - 3$
45383	Find the Roots (Zeros)	(-4x-3)(x-3)	$(- 4 x - 3) (x - 3)$
45384	Solve for s	\|2s+1\|+3<=2	$\| 2 s + 1 \| + 3 \leq 2$
45385	Combine Like Terms	(3x^4-3x)-(3x-3x^4)	$(3 x^{4} - 3 x) - (3 x - 3 x^{4})$
45386	Simplify	5p-3q+2-4p+5+4q	$5 p - 3 q + 2 - 4 p + 5 + 4 q$
45387	Evaluate	-3^40*(5.6÷2.1)	$- 3^{40} \cdot (5.6 \div 2.1)$
45388	Simplify the Radical Expression	square root of (x+15)^4	$\sqrt{{(x + 15)}^{4}}$
45389	Evaluate	(tan(pi/3))/2+1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} + \frac{1}{\sec (\frac{π}{6})}$
45390	Evaluate	(tan(theta))/(sin(theta))=sec(theta)	$\frac{\tan (θ)}{\sin (θ)} = \sec (θ)$
45391	Evaluate	(x^-6*x^7)/(x^6)	$\frac{x^{- 6} \cdot x^{7}}{x^{6}}$
45392	Solve the Inequality for x	(x+1)/((x-4)(x+8))>=0	$\frac{x + 1}{(x - 4) (x + 8)} \geq 0$
45393	Solve the Rational Equation for x	-5/(x-5)+1=-x/(x-5)	$- \frac{5}{x - 5} + 1 = - \frac{x}{x - 5}$
45394	Find the Asymptotes	r(x)=x/(x^2+4)	$r (x) = \frac{x}{x^{2} + 4}$
45395	Find the Domain	(4x-1)^(9/2)	${(4 x - 1)}^{\frac{9}{2}}$
45396	Simplify	(x^3+y^3)/(x^3-y^3)*(x^2-y^2)/(x^2+2xy+y^2)	$\frac{x^{3} + y^{3}}{x^{3} - y^{3}} \cdot \frac{x^{2} - y^{2}}{x^{2} + 2 x y + y^{2}}$
45397	Evaluate	x^2=6	$x^{2} = 6$
45398	Solve for x	16xe^(4x^2)=3	$16 x e^{4 x^{2}} = 3$
45399	Expand the Logarithmic Expression	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
45400	Simplify	plus or minus square root of -64	$\pm \sqrt{- 64}$