Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191201	Solve for x	4 cube root of x+1=9	$4 \sqrt[3]{x} + 1 = 9$
191202	Find w(u(x))	u(x)=x^2+6 w(x) = square root of x+9	$u (x) = x^{2} + 6$ $w (x) = \sqrt{x + 9}$
191203	Evaluate	square root of pi/2	$\sqrt{\frac{π}{2}}$
191204	Divide Using Long Polynomial Division	-45x^4+36x^3-15x^2-3x+16 by 5x-4	$- 45 x^{4} + 36 x^{3} - 15 x^{2} - 3 x + 16$ by $5 x - 4$
191205	Solve for W	W+14=10	$W + 14 = 10$
191206	Solve for x	(2pi)/x=6pi	$\frac{2 π}{x} = 6 π$
191207	Solve for h	h+3h+5h+3h-12=48	$h + 3 h + 5 h + 3 h - 12 = 48$
191208	Solve the Inequality for x	(x-1)/(x+2)>(x-5)/(x-3)	$\frac{x - 1}{x + 2} > \frac{x - 5}{x - 3}$
191209	Simplify	(125x^3y^6)/(xy^4)	$\frac{125 x^{3} y^{6}}{x y^{4}}$
191210	Find the x and y Intercepts	f(x)=x^2(x^2+1)	$f (x) = x^{2} (x^{2} + 1)$
191211	Solve for x	-x=10(6/5x-6/5)+1/2x	$- x = 10 (\frac{6}{5} x - \frac{6}{5}) + \frac{1}{2} x$
191212	Graph	2x+y=5 x-3y=2	$2 x + y = 5$ $x - 3 y = 2$
191213	Solve for a	( fourth root of x)/(x^4)=x^a	$\frac{\sqrt[4]{x}}{x^{4}} = x^{a}$
191214	Find the Domain and Range	square root of x^2-3	$\sqrt{x^{2} - 3}$
191215	Graph Using a Table of Values	f(x)=cos(x)	$f (x) = \cos (x)$
191216	Solve for x	0=x/5-3	$0 = \frac{x}{5} - 3$
191217	Solve the Absolute Value Inequality for x	\|2x-3\|-4=3	$\| 2 x - 3 \| - 4 = 3$
191218	Find the Inverse	F(x)=-3/2x+7/2	$F (x) = - \frac{3}{2} x + \frac{7}{2}$
191219	Evaluate Using the Given Value	1 , 0^8=10^w	$1$ , $0^{8} = 10^{w}$
191220	Find the Excluded Values	2/(3x)+1/4=46/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{46}{6 x} - \frac{1}{3}$
191221	Find the x and y Intercepts	G(x)=x/(x^2-4)	$G (x) = \frac{x}{x^{2} - 4}$
191222	Graph	how are u	how are $u$
191223	Solve the Inequality for v	-40-6v>=-10	$- 40 - 6 v \geq - 10$
191224	Find All Complex Solutions	\|-4+5x\|=16	$\| - 4 + 5 x \| = 16$
191225	Solve the Inequality for x	(3/4)^(x^2+5x)>(4/3)^(3x)	${(\frac{3}{4})}^{x^{2} + 5 x} > {(\frac{4}{3})}^{3 x}$
191226	Graph	f(x)=x^4+x^3-8x^2-12x	$f (x) = x^{4} + x^{3} - 8 x^{2} - 12 x$
191227	Simplify	seventh root of (m^16)/(m^6)	$\sqrt[7]{\frac{m^{16}}{m^{6}}}$
191228	Solve for t	h=-1/2at^2+1	$h = - \frac{1}{2} a t^{2} + 1$
191229	Combine Like Terms	(7x-1)^2	${(7 x - 1)}^{2}$
191230	Write in Standard Form	(-6- square root of -12)/48	$\frac{- 6 - \sqrt{- 12}}{48}$
191231	Divide	-7÷(14/3)	$- 7 \div \frac{14}{3}$
191232	Find the Exact Value	3*1/3	$3 \cdot \frac{1}{3}$
191233	Solve for n	n+12=12+9	$n + 12 = 12 + 9$
191234	Evaluate	13121110987654321	$13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
191235	Find the x and y Intercepts	y=4(2^x)-2	$y = 4 (2^{x}) - 2$
191236	Solve the Inequality for x	4(x-1)(x-5)>0	$4 (x - 1) (x - 5) > 0$
191237	Simplify	e^(x/2)-4e^(1/2x)	$e^{\frac{x}{2}} - 4 e^{\frac{1}{2} x}$
191238	Factor	12x-9-4x^2	$12 x - 9 - 4 x^{2}$
191239	Solve for x	1/(x+1)=3	$\frac{1}{x + 1} = 3$
191240	Multiply	(5n+15)/(4n+8)*(2n+4)/(3n+9)	$\frac{5 n + 15}{4 n + 8} \cdot \frac{2 n + 4}{3 n + 9}$
191241	Solve for g	-3(g-4)=2-3g	$- 3 (g - 4) = 2 - 3 g$
191242	Solve for x	-2\|2-9x\|+6=4	$- 2 \| 2 - 9 x \| + 6 = 4$
191243	Solve by Addition/Elimination	3x+4y=3 and 2x-4y=12	$3 x + 4 y = 3$ and $2 x - 4 y = 12$
191244	Simplify	(5p^3-p)-(7p^2+4p-3)	$(5 p^{3} - p) - (7 p^{2} + 4 p - 3)$
191245	Solve for x	x/(a^2)+3b=2c	$\frac{x}{a^{2}} + 3 b = 2 c$
191246	Find the Exact Value	f^-1(-1)	$f^{- 1} (- 1)$
191247	Find the First Term	a_n=12-3n	$a_{n} = 12 - 3 n$
191248	Simplify	-1/-2	$- \frac{1}{- 2}$
191249	Find the Degree, Leading Term, and Leading Coefficient	-1/9x+9-x^3	$- \frac{1}{9} x + 9 - x^{3}$
191250	Solve for v₂	F=(mv_2)/t	$F = \frac{m v_{2}}{t}$
191251	Evaluate	(-1 7/8)+(-3 1/2)	$(- 1 \frac{7}{8}) + (- 3 \frac{1}{2})$
191252	Find the LCM	2 , 3 , 6	$2$ , $3$ , $6$
191253	Solve for x	9^(x^2+1)+3^(x+2)=18	$9^{x^{2} + 1} + 3^{x + 2} = 18$
191254	Solve the Absolute Value Inequality for x	\|x/8\|=3	$\| \frac{x}{8} \| = 3$
191255	Simplify	1^-6	$1^{- 6}$
191256	Find the Distance Between Two Points	(-1,-6) and (8,6)	$(- 1, - 6)$ and $(8, 6)$
191257	Solve for x	3-2(x-1)=2+4x	$3 - 2 (x - 1) = 2 + 4 x$
191258	Solve by Factoring	x^2-2x-3=x-3	$x^{2} - 2 x - 3 = x - 3$
191259	Simplify	x(x^2-1)	$x (x^{2} - 1)$
191260	Solve the Inequality for x	3<x+4<=10	$3 < x + 4 \leq 10$
191261	Find the Distance Between Two Points	(8,-4) and (1,-7)	$(8, - 4)$ and $(1, - 7)$
191262	Simplify	(d^2)/(ef)*(5e^5f)/(4d)	$\frac{d^{2}}{e f} \cdot \frac{5 e^{5} f}{4 d}$
191263	Evaluate Using the Given Value	4(x-3)+5x-x^2 for x=3	$4 (x - 3) + 5 x - x^{2}$ for $x = 3$
191264	Simplify	square root of 5* square root of 6* square root of 2	$\sqrt{5} \cdot \sqrt{6} \cdot \sqrt{2}$
191265	Solve for x	3x-6x+2=8x+20-5x	$3 x - 6 x + 2 = 8 x + 20 - 5 x$
191266	Simplify	(x^(2n)*x^(3n-1))/(x^(n+2))	$\frac{x^{2 n} \cdot x^{3 n - 1}}{x^{n + 2}}$
191267	Evaluate	4(-5)^2+(-5)-5	$4 {(- 5)}^{2} + (- 5) - 5$
191268	Evaluate	(( square root of 2)/2)÷(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div (- \frac{\sqrt{2}}{2})$
191269	Simplify	8x-7y-(3-6y)	$8 x - 7 y - (3 - 6 y)$
191270	Complete the Square	f(x)=4x^2+12x+9	$f (x) = 4 x^{2} + 12 x + 9$
191271	Simplify	(-27/8)^(4/3)	${(\frac{- 27}{8})}^{\frac{4}{3}}$
191272	Find the End Behavior	f(x)=400x-2100-16x^3+184x^2-4x^4	$f (x) = 400 x - 2100 - 16 x^{3} + 184 x^{2} - 4 x^{4}$
191273	Graph	Graph y=3/4x+2	Graph $y = \frac{3}{4} x + 2$
191274	Find the Holes in the Graph	(5x)/(-2x-4)	$\frac{5 x}{- 2 x - 4}$
191275	Find f(g(x))	f(x) = square root of x and g(x)=x-1	$f (x) = \sqrt{x}$ and $g (x) = x - 1$
191276	Solve for x	r(x)=-5x-1 , r(x)=19	$r (x) = - 5 x - 1$ , $r (x) = 19$
191277	Simplify	-2+-2	$- 2 + - 2$
191278	Simplify	8p^15*(-p)^4	$8 p^{15} \cdot {(- p)}^{4}$
191279	Solve for x	(x-6)(x^2-25)=0	$(x - 6) (x^{2} - 25) = 0$
191280	Solve for w	-7w+6=-4w^2	$- 7 w + 6 = - 4 w^{2}$
191281	Simplify	((7x^4)/(24y^5))÷((21x)/(12y^4))	$\frac{7 x^{4}}{24 y^{5}} \div \frac{21 x}{12 y^{4}}$
191282	Solve for x	2^(2x)-2^(x+1)-8=0	$2^{2 x} - 2^{x + 1} - 8 = 0$
191283	Graph	cos(theta)<0 and tan(theta)>0	$\cos (θ) < 0$ and $\tan (θ) > 0$
191284	Simplify	(4x^2-8x-2)(x^4+3x^2+4x)	$(4 x^{2} - 8 x - 2) (x^{4} + 3 x^{2} + 4 x)$
191285	Solve by Substitution	x-2y=0 x=2y	$x - 2 y = 0$ $x = 2 y$
191286	Solve for c	square root of c^2+2c-4 = square root of 1-2c	$\sqrt{c^{2} + 2 c - 4} = \sqrt{1 - 2 c}$
191287	Write as a Single Logarithm	3 log base 4 of 2x+1-2 log base 4 of 2x-1+2	$3 \log_{4} (2 x + 1) - 2 \log_{4} (2 x - 1) + 2$
191288	Solve the Inequality for x	\|14-5x\|>8	$\| 14 - 5 x \| > 8$
191289	Combine Like Terms	(-6x+3)-(-2x^2+6x-10)	$(- 6 x + 3) - (- 2 x^{2} + 6 x - 10)$
191290	Find the End Behavior	f(x)=832x-4x^5+8960+122x^4-2x^6-2192x^2+60x^3	$f (x) = 832 x - 4 x^{5} + 8960 + 122 x^{4} - 2 x^{6} - 2192 x^{2} + 60 x^{3}$
191291	Factor	2x^2+x-15=0	$2 x^{2} + x - 15 = 0$
191292	Graph	y=2tan(x+(3pi)/4)	$y = 2 \tan (x + \frac{3 π}{4})$
191293	Solve for k	\|4k+12\|>=6	$\| 4 k + 12 \| \geq 6$
191294	Graph	f(x)=b^x , b>1	$f (x) = b^{x}$ , $b > 1$
191295	Evaluate the Function	g(x)=3x^2+2x-2 when x=2	$g (x) = 3 x^{2} + 2 x - 2$ when $x = 2$
191296	Solve the Inequality for x	(x+1)/(x-1)>=2	$\frac{x + 1}{x - 1} \geq 2$
191297	Solve by Completing the Square	x^2+17x+9=13x-3	$x^{2} + 17 x + 9 = 13 x - 3$
191298	Write as a Single Logarithm	2 natural log of x-1/4 natural log of y	$2 \ln (x) - \frac{1}{4} \ln (y)$
191299	Graph	f(x)=x^2,x<=2; 8-2x,2=4	$f (x) = {\begin{cases} x^{2}, x \leq 2 \\ 8 - 2 x, 2 = 4 \end{cases}$
191300	Simplify	((x^2+5x+4)/(x-1))÷((x^2-16)/(3x-3))	$\frac{x^{2} + 5 x + 4}{x - 1} \div \frac{x^{2} - 16}{3 x - 3}$