Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
30301	Solve for k	740/7608.9=18.1/k0.0821*295	$\frac{740}{760} \cdot 8.9 = \frac{18.1}{k} \cdot 0.0821 \cdot 295$
30302	Solve for r	15r^2-6r-3=-2r	$15 r^{2} - 6 r - 3 = - 2 r$
30303	Solve the Inequality for k	\|1-4k\|>=-11	$\| 1 - 4 k \| \geq - 11$
30304	Add	7w^2+4w-6w^2-11w+13	$7 w^{2} + 4 w - 6 w^{2} - 11 w + 13$
30305	Simplify	(4x^2+36)/(4x)*1/(5x)	$\frac{4 x^{2} + 36}{4 x} \cdot \frac{1}{5 x}$
30306	Solve the Inequality for x	log base 5 of 3x+2< log base 5 of 2x+5	$\log_{5} (3 x + 2) < \log_{5} (2 x + 5)$
30307	Simplify	3/26*8	$\frac{3}{26} \cdot 8$
30308	Simplify	sixth root of 512	$\sqrt[6]{512}$
30309	Solve for x	x-(5x+2)/6=(7-3x)/4	$x - \frac{5 x + 2}{6} = \frac{7 - 3 x}{4}$
30310	Find the End Behavior	P(x)=4x^5+9x^4+6x^3-x^2+2x-7	$P (x) = 4 x^{5} + 9 x^{4} + 6 x^{3} - x^{2} + 2 x - 7$
30311	Solve for c	5c^2-1=124	$5 c^{2} - 1 = 124$
30312	Solve for x in Degrees	csc(x)=(2 square root of 3)/3	$\csc (x) = \frac{2 \sqrt{3}}{3}$
30313	Add	(2x^2+1)+(x^2-2x+1)	$(2 x^{2} + 1) + (x^{2} - 2 x + 1)$
30314	Solve for y	y=-3/2(-4)	$y = - \frac{3}{2} (- 4)$
30315	Simplify	(4- square root of x+15)/(1-x^2)	$\frac{4 - \sqrt{x + 15}}{1 - x^{2}}$
30316	Graph	2x+y<-3 2x-y<=-1	$2 x + y < - 3$ $2 x - y \leq - 1$
30317	Find the x and y Intercepts	y=(x+1)/((x+2)(x-5))	$y = \frac{(x + 1)}{(x + 2) (x - 5)}$
30318	Simplify	((a^2-5a-14)/(a-7))÷((a^2-a-6)/(5a^3+30a^2))	$\frac{a^{2} - 5 a - 14}{a - 7} \div \frac{a^{2} - a - 6}{5 a^{3} + 30 a^{2}}$
30319	Evaluate	(x^-4x^-6y^2)/(y^6)	$\frac{x^{- 4} x^{- 6} y^{2}}{y^{6}}$
30320	Solve the Function Operation	f(x)=(x+3)^2-6 if x!=-1; 2 if x=-1 Find f(-1)	$f (x) = {\begin{cases} {(x + 3)}^{2} - 6 & x \neq - 1 \\ 2 & x = - 1 \end{cases}$ Find $f (- 1)$
30321	Simplify	-( square root of 3)/1	$- \frac{\sqrt{3}}{1}$
30322	Solve for x	(7x+9)/5-12=8	$\frac{7 x + 9}{5} - 12 = 8$
30323	Find the Exact Value	arccsc((-2 square root of 3)/3)	$arccsc (\frac{- 2 \sqrt{3}}{3})$
30324	Simplify	((x^-1)/(y^5))^2	${(\frac{x^{- 1}}{y^{5}})}^{2}$
30325	Solve the Function Operation	Given that f(x)=x^2+4x-21 and g(x)=x-3 ; find (f÷g)(x) and express the result in standard form.	Given that $f (x) = x^{2} + 4 x - 21$ and $g (x) = x - 3$ ; find $(f \div g) (x)$ and express the result in standard form.
30326	Describe the Transformation	y = cube root of x-3	$y = \sqrt[3]{x - 3}$
30327	Simplify	x^-2y^3 cube root of 64x^5y^3	$x^{- 2} y^{3} \sqrt[3]{64 x^{5} y^{3}}$
30328	Solve for R	9=R+2	$9 = R + 2$
30329	Find the Asymptotes	f(x)=-14/(3x)+5	$f (x) = - \frac{14}{3 x} + 5$
30330	Solve for n	(3n)/2+3=15	$\frac{3 n}{2} + 3 = 15$
30331	Solve the System of Equations	What is the solution to the system of equations y=-x^2+2 and y=x^2 ?	What is the solution to the system of equations $y = - x^{2} + 2$ and $y = x^{2}$ ?
30332	Find the Product	(x+2)(y^2+2y-12)	$(x + 2) (y^{2} + 2 y - 12)$
30333	Simplify the Radical Expression	((v^-1)/(v^-4))^(5/12)	${(\frac{v^{- 1}}{v^{- 4}})}^{\frac{5}{12}}$
30334	Solve the Inequality for d	-d/12-6<1	$- \frac{d}{12} - 6 < 1$
30335	Find the Asymptotes	y=5+1/(x+3)	$y = 5 + \frac{1}{x + 3}$
30336	Find the Derivative - d/dx	y=(2x)(3x^3)	$y = (2 x) (3 x^{3})$
30337	Graph	g(x)=-f(x+2)+3	$g (x) = - f (x + 2) + 3$
30338	Simplify the Radical Expression	4 square root of 2x*5 square root of 6xy^2	$4 \sqrt{2 x} \cdot 5 \sqrt{6 x y^{2}}$
30339	Find the Slope	(11/6,-1/2) and (1/3,1/3)	$(\frac{11}{6}, - \frac{1}{2})$ and $(\frac{1}{3}, \frac{1}{3})$
30340	Find the Derivative - d/dx	square root of 1+x^4	$\sqrt{1 + x^{4}}$
30341	Divide	(10e)÷2	$10 e \div 2$
30342	Simplify	-(-10+10i)-(-9-5i)+(-12+i)	$- (- 10 + 10 i) - (- 9 - 5 i) + (- 12 + i)$
30343	Convert from Radians to Degrees	sin(pi/3)	$\sin (\frac{π}{3})$
30344	Graph	(4,135 degrees )	$(4, 135 °)$
30345	Simplify	(7-21x)/6*(4x+10)/(14-42x)	$\frac{7 - 21 x}{6} \cdot \frac{4 x + 10}{14 - 42 x}$
30346	Simplify	3^3*4^3	$3^{3} \times 4^{3}$
30347	Simplify the Radical Expression	28 root of 1/(p^6*p)	$\sqrt[28]{\frac{1}{p^{6} \cdot p}}$
30348	Simplify the Radical Expression	i^3	$i^{3}$
30349	Solve for p	4/5p+6=-1/3p-3	$\frac{4}{5} p + 6 = - \frac{1}{3} p - 3$
30350	Simplify	Simplify square root of 12	Simplify $\sqrt{12}$
30351	Solve for w	3w-15w-16=-52	$3 w - 15 w - 16 = - 52$
30352	Simplify	(x- cube root of 2)(x^2+ cube root of 2x+ cube root of 4)	$(x - \sqrt[3]{2}) (x^{2} + \sqrt[3]{2 x} + \sqrt[3]{4})$
30353	Find the Antiderivative	(sin(2x))/(sin(x))	$\frac{\sin (2 x)}{\sin (x)}$
30354	Solve the System of Inequalities	x<1 and x>-2	$x < 1$ and $x > - 2$
30355	Simplify	cube root of (6yz)^6	$\sqrt[3]{{(6 y z)}^{6}}$
30356	Simplify	(3x^3-5x^2+2x)(-5x^3)	$(3 x^{3} - 5 x^{2} + 2 x) (- 5 x^{3})$
30357	Simplify	(-3^-2b^2)/(a^0b^-3)	$\frac{- 3^{- 2} b^{2}}{a^{0} b^{- 3}}$
30358	Solve the Function Operation	g(x)=x-3 f(x)=-2x+2 Find g(f(x))	$g (x) = x - 3$ $f (x) = - 2 x + 2$ Find $g (f (x))$
30359	Find dy/dx	sin(x)-cos(y)-2=0	$\sin (x) - \cos (y) - 2 = 0$
30360	Solve for y	3(y+1)^2-5=43	$3 {(y + 1)}^{2} - 5 = 43$
30361	Rationalize the Denominator	2/(- square root of 3)	$\frac{2}{- \sqrt{3}}$
30362	Convert to a Simplified Fraction	(9^6*7^-9)^-4	${(9^{6} \cdot 7^{- 9})}^{- 4}$
30363	Evaluate	((y^4-16)/(y+2))÷((y^2+4)/5)	$\frac{y^{4} - 16}{y + 2} \div \frac{y^{2} + 4}{5}$
30364	Evaluate	cot(x)+1=0	$\cot (x) + 1 = 0$
30365	Graph	f(x)=-(2x-1)/(x-2)	$f (x) = - \frac{2 x - 1}{x - 2}$
30366	Graph	(dy)/(dx)=-x/y	$\frac{d y}{d x} = - \frac{x}{y}$
30367	Solve for θ in Radians	2sin(theta)^2=1	$2 \sin^{2} (θ) = 1$
30368	Solve the Rational Equation for p	(p+5)/(p^2+p)=1/(p^2+p)-(p-6)/(p+1)	$\frac{p + 5}{p^{2} + p} = \frac{1}{p^{2} + p} - \frac{p - 6}{p + 1}$
30369	Find the Area Under the Curve	y=\|x^2-4\| y=0 y=5	$y = \| x^{2} - 4 \|$ $y = 0$ $y = 5$
30370	Solve for d	a=pi(d^2)/4	$a = π \frac{d^{2}}{4}$
30371	Write the Fraction in Simplest Form	(-3(z)^3)/(12b^4z^10)	$\frac{- 3 {(z)}^{3}}{12 b^{4} z^{10}}$
30372	Solve the Function Operation	Given that f(x)=x^2-10x+24 and g(x)=x-4 ; find f(x)-g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 10 x + 24$ and $g (x) = x - 4$ ; find $f (x) - g (x)$ and express the result in standard form.
30373	Simplify	(x^3-2x^2+x-2)(x^2-2x+2)	$(x^{3} - 2 x^{2} + x - 2) (x^{2} - 2 x + 2)$
30374	Solve for t	h(35)=50-t/5	$h (35) = 50 - \frac{t}{5}$
30375	Rationalize the Denominator	3/( square root of x+y)	$\frac{3}{\sqrt{x + y}}$
30376	Solve for w	1/2 square root of w+1=4	$\frac{1}{2} \sqrt{w + 1} = 4$
30377	Find the Coterminal Angle	3998 degrees	$3998 °$
30378	Solve for x	15+2(3-x)=-23x	$15 + 2 (3 - x) = - 23 x$
30379	Find the Antiderivative	square root of x+ cube root of x	$\sqrt{x} + \sqrt[3]{x}$
30380	Solve the Inequality for y	square root of 9y+19- square root of 6y-5>3	$\sqrt{9 y + 19} - \sqrt{6 y - 5} > 3$
30381	Evaluate the Integral	integral of (-3x^-3+2+3x^-2) with respect to x	$\int (- 3 x^{- 3} + 2 + 3 x^{- 2}) d x$
30382	Solve for x	16=8 square root of 100-x	$16 = 8 \sqrt{100 - x}$
30383	Factor	a^3-9a^2b+ab-9b^2	$a^{3} - 9 a^{2} b + a b - 9 b^{2}$
30384	Solve for t	k=(2(t+3))/(t-3)	$k = \frac{2 (t + 3)}{t - 3}$
30385	Find the x and y Intercepts	f(x)=2(2x+3)(x-5)^2	$f (x) = 2 (2 x + 3) {(x - 5)}^{2}$
30386	Convert to Radical Form	(6py^2)^(1/4)	${(6 p y^{2})}^{\frac{1}{4}}$
30387	Write in Slope-Intercept Form	x+4=4y	$x + 4 = 4 y$
30388	Solve the Inequality for x	8.6<=x-5 4/5	$8.6 \leq x - 5 \frac{4}{5}$
30389	Simplify	( square root of -7)/( square root of 63)	$\frac{\sqrt{- 7}}{\sqrt{63}}$
30390	Solve for x	square root of x=e^(-3x)	$\sqrt{x} = e^{- 3 x}$
30391	Multiply	-6(x^2-2x)	$- 6 (x^{2} - 2 x)$
30392	Find the Domain and Range	y=(2x-11)/(3-5x)	$y = \frac{2 x - 11}{3 - 5 x}$
30393	Simplify	( square root of x^5)/( fourth root of x^3)	$\frac{\sqrt{x^{5}}}{\sqrt[4]{x^{3}}}$
30394	Solve the Inequality for x	y>2x-5	$y > 2 x - 5$
30395	Find the Antiderivative	1/2+3/4x^2-4/5x^3	$\frac{1}{2} + \frac{3}{4} x^{2} - \frac{4}{5} x^{3}$
30396	Simplify	(10(bc)^2)/(c square root of 16b^4)	$\frac{10 {(b c)}^{2}}{c \sqrt{16 b^{4}}}$
30397	Integrate Using u-Substitution	integral of (csc(x)^2)/(cot(x)^3) with respect to x	$\int \frac{\csc^{2} (x)}{\cot^{3} (x)} d x$
30398	Factor	x^2=7x	$x^{2} = 7 x$
30399	Find the End Behavior	y=-2x^3+5	$y = - 2 x^{3} + 5$
30400	Solve for x	square root of 3x^2-x square root of 12+2x square root of 75 = square root of 3	$\sqrt{3 x^{2}} - x \sqrt{12} + 2 x \sqrt{75} = \sqrt{3}$