Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
191201	Solve for x	0=x/5-3	$0 = \frac{x}{5} - 3$
191202	Solve the Absolute Value Inequality for x	\|2x-3\|-4=3	$\| 2 x - 3 \| - 4 = 3$
191203	Find the Inverse	F(x)=-3/2x+7/2	$F (x) = - \frac{3}{2} x + \frac{7}{2}$
191204	Evaluate Using the Given Value	1 , 0^8=10^w	$1$ , $0^{8} = 10^{w}$
191205	Find the Excluded Values	2/(3x)+1/4=46/(6x)-1/3	$\frac{2}{3 x} + \frac{1}{4} = \frac{46}{6 x} - \frac{1}{3}$
191206	Find the x and y Intercepts	G(x)=x/(x^2-4)	$G (x) = \frac{x}{x^{2} - 4}$
191207	Graph	how are u	how are $u$
191208	Solve the Inequality for v	-40-6v>=-10	$- 40 - 6 v \geq - 10$
191209	Find All Complex Solutions	\|-4+5x\|=16	$\| - 4 + 5 x \| = 16$
191210	Solve the Inequality for x	(3/4)^(x^2+5x)>(4/3)^(3x)	${(\frac{3}{4})}^{x^{2} + 5 x} > {(\frac{4}{3})}^{3 x}$
191211	Graph	f(x)=x^4+x^3-8x^2-12x	$f (x) = x^{4} + x^{3} - 8 x^{2} - 12 x$
191212	Simplify	seventh root of (m^16)/(m^6)	$\sqrt[7]{\frac{m^{16}}{m^{6}}}$
191213	Solve for t	h=-1/2at^2+1	$h = - \frac{1}{2} a t^{2} + 1$
191214	Combine Like Terms	(7x-1)^2	${(7 x - 1)}^{2}$
191215	Write in Standard Form	(-6- square root of -12)/48	$\frac{- 6 - \sqrt{- 12}}{48}$
191216	Divide	-7÷(14/3)	$- 7 \div \frac{14}{3}$
191217	Find the Exact Value	3*1/3	$3 \cdot \frac{1}{3}$
191218	Solve for n	n+12=12+9	$n + 12 = 12 + 9$
191219	Evaluate	13121110987654321	$13 \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8 \cdot 7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
191220	Find the x and y Intercepts	y=4(2^x)-2	$y = 4 (2^{x}) - 2$
191221	Solve the Inequality for x	4(x-1)(x-5)>0	$4 (x - 1) (x - 5) > 0$
191222	Simplify	e^(x/2)-4e^(1/2x)	$e^{\frac{x}{2}} - 4 e^{\frac{1}{2} x}$
191223	Factor	12x-9-4x^2	$12 x - 9 - 4 x^{2}$
191224	Solve for x	1/(x+1)=3	$\frac{1}{x + 1} = 3$
191225	Multiply	(5n+15)/(4n+8)*(2n+4)/(3n+9)	$\frac{5 n + 15}{4 n + 8} \cdot \frac{2 n + 4}{3 n + 9}$
191226	Solve for g	-3(g-4)=2-3g	$- 3 (g - 4) = 2 - 3 g$
191227	Solve for x	-2\|2-9x\|+6=4	$- 2 \| 2 - 9 x \| + 6 = 4$
191228	Solve by Addition/Elimination	3x+4y=3 and 2x-4y=12	$3 x + 4 y = 3$ and $2 x - 4 y = 12$
191229	Simplify	(5p^3-p)-(7p^2+4p-3)	$(5 p^{3} - p) - (7 p^{2} + 4 p - 3)$
191230	Solve for x	x/(a^2)+3b=2c	$\frac{x}{a^{2}} + 3 b = 2 c$
191231	Find the Exact Value	f^-1(-1)	$f^{- 1} (- 1)$
191232	Find the First Term	a_n=12-3n	$a_{n} = 12 - 3 n$
191233	Simplify	-1/-2	$- \frac{1}{- 2}$
191234	Find the Degree, Leading Term, and Leading Coefficient	-1/9x+9-x^3	$- \frac{1}{9} x + 9 - x^{3}$
191235	Solve for v₂	F=(mv_2)/t	$F = \frac{m v_{2}}{t}$
191236	Evaluate	(-1 7/8)+(-3 1/2)	$(- 1 \frac{7}{8}) + (- 3 \frac{1}{2})$
191237	Find the LCM	2 , 3 , 6	$2$ , $3$ , $6$
191238	Solve for x	9^(x^2+1)+3^(x+2)=18	$9^{x^{2} + 1} + 3^{x + 2} = 18$
191239	Solve the Absolute Value Inequality for x	\|x/8\|=3	$\| \frac{x}{8} \| = 3$
191240	Simplify	1^-6	$1^{- 6}$
191241	Find the Distance Between Two Points	(-1,-6) and (8,6)	$(- 1, - 6)$ and $(8, 6)$
191242	Solve for x	3-2(x-1)=2+4x	$3 - 2 (x - 1) = 2 + 4 x$
191243	Solve by Factoring	x^2-2x-3=x-3	$x^{2} - 2 x - 3 = x - 3$
191244	Simplify	x(x^2-1)	$x (x^{2} - 1)$
191245	Solve the Inequality for x	3<x+4<=10	$3 < x + 4 \leq 10$
191246	Find the Distance Between Two Points	(8,-4) and (1,-7)	$(8, - 4)$ and $(1, - 7)$
191247	Simplify	(d^2)/(ef)*(5e^5f)/(4d)	$\frac{d^{2}}{e f} \cdot \frac{5 e^{5} f}{4 d}$
191248	Evaluate Using the Given Value	4(x-3)+5x-x^2 for x=3	$4 (x - 3) + 5 x - x^{2}$ for $x = 3$
191249	Simplify	square root of 5* square root of 6* square root of 2	$\sqrt{5} \cdot \sqrt{6} \cdot \sqrt{2}$
191250	Solve for x	3x-6x+2=8x+20-5x	$3 x - 6 x + 2 = 8 x + 20 - 5 x$
191251	Simplify	(x^(2n)*x^(3n-1))/(x^(n+2))	$\frac{x^{2 n} \cdot x^{3 n - 1}}{x^{n + 2}}$
191252	Evaluate	4(-5)^2+(-5)-5	$4 {(- 5)}^{2} + (- 5) - 5$
191253	Evaluate	(( square root of 2)/2)÷(-( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div (- \frac{\sqrt{2}}{2})$
191254	Simplify	8x-7y-(3-6y)	$8 x - 7 y - (3 - 6 y)$
191255	Complete the Square	f(x)=4x^2+12x+9	$f (x) = 4 x^{2} + 12 x + 9$
191256	Simplify	(-27/8)^(4/3)	${(\frac{- 27}{8})}^{\frac{4}{3}}$
191257	Find the End Behavior	f(x)=400x-2100-16x^3+184x^2-4x^4	$f (x) = 400 x - 2100 - 16 x^{3} + 184 x^{2} - 4 x^{4}$
191258	Graph	Graph y=3/4x+2	Graph $y = \frac{3}{4} x + 2$
191259	Find the Holes in the Graph	(5x)/(-2x-4)	$\frac{5 x}{- 2 x - 4}$
191260	Find f(g(x))	f(x) = square root of x and g(x)=x-1	$f (x) = \sqrt{x}$ and $g (x) = x - 1$
191261	Solve for x	r(x)=-5x-1 , r(x)=19	$r (x) = - 5 x - 1$ , $r (x) = 19$
191262	Simplify	-2+-2	$- 2 + - 2$
191263	Simplify	8p^15*(-p)^4	$8 p^{15} \cdot {(- p)}^{4}$
191264	Solve for x	(x-6)(x^2-25)=0	$(x - 6) (x^{2} - 25) = 0$
191265	Solve for w	-7w+6=-4w^2	$- 7 w + 6 = - 4 w^{2}$
191266	Simplify	((7x^4)/(24y^5))÷((21x)/(12y^4))	$\frac{7 x^{4}}{24 y^{5}} \div \frac{21 x}{12 y^{4}}$
191267	Solve for x	2^(2x)-2^(x+1)-8=0	$2^{2 x} - 2^{x + 1} - 8 = 0$
191268	Graph	cos(theta)<0 and tan(theta)>0	$\cos (θ) < 0$ and $\tan (θ) > 0$
191269	Simplify	(4x^2-8x-2)(x^4+3x^2+4x)	$(4 x^{2} - 8 x - 2) (x^{4} + 3 x^{2} + 4 x)$
191270	Solve by Substitution	x-2y=0 x=2y	$x - 2 y = 0$ $x = 2 y$
191271	Solve for c	square root of c^2+2c-4 = square root of 1-2c	$\sqrt{c^{2} + 2 c - 4} = \sqrt{1 - 2 c}$
191272	Write as a Single Logarithm	3 log base 4 of 2x+1-2 log base 4 of 2x-1+2	$3 \log_{4} (2 x + 1) - 2 \log_{4} (2 x - 1) + 2$
191273	Solve the Inequality for x	\|14-5x\|>8	$\| 14 - 5 x \| > 8$
191274	Combine Like Terms	(-6x+3)-(-2x^2+6x-10)	$(- 6 x + 3) - (- 2 x^{2} + 6 x - 10)$
191275	Find the End Behavior	f(x)=832x-4x^5+8960+122x^4-2x^6-2192x^2+60x^3	$f (x) = 832 x - 4 x^{5} + 8960 + 122 x^{4} - 2 x^{6} - 2192 x^{2} + 60 x^{3}$
191276	Factor	2x^2+x-15=0	$2 x^{2} + x - 15 = 0$
191277	Graph	y=2tan(x+(3pi)/4)	$y = 2 \tan (x + \frac{3 π}{4})$
191278	Solve for k	\|4k+12\|>=6	$\| 4 k + 12 \| \geq 6$
191279	Graph	f(x)=b^x , b>1	$f (x) = b^{x}$ , $b > 1$
191280	Evaluate the Function	g(x)=3x^2+2x-2 when x=2	$g (x) = 3 x^{2} + 2 x - 2$ when $x = 2$
191281	Solve the Inequality for x	(x+1)/(x-1)>=2	$\frac{x + 1}{x - 1} \geq 2$
191282	Solve by Completing the Square	x^2+17x+9=13x-3	$x^{2} + 17 x + 9 = 13 x - 3$
191283	Write as a Single Logarithm	2 natural log of x-1/4 natural log of y	$2 \ln (x) - \frac{1}{4} \ln (y)$
191284	Graph	f(x)=x^2,x<=2; 8-2x,2=4	$f (x) = {\begin{cases} x^{2}, x \leq 2 \\ 8 - 2 x, 2 = 4 \end{cases}$
191285	Simplify	((x^2+5x+4)/(x-1))÷((x^2-16)/(3x-3))	$\frac{x^{2} + 5 x + 4}{x - 1} \div \frac{x^{2} - 16}{3 x - 3}$
191286	Solve for t	b=t-lc	$b = t - l c$
191287	Graph	{x\|x<=-3}	${x \| x \leq - 3}$
191288	Graph	y-5=-1/2(x-3)^2	$y - 5 = - \frac{1}{2} {(x - 3)}^{2}$
191289	Write in Standard Form	1-3x-2x^2=3x^2+1	$1 - 3 x - 2 x^{2} = 3 x^{2} + 1$
191290	Find the x and y Intercepts	(x^2+2x)/(-2x^2+10x)	$\frac{x^{2} + 2 x}{- 2 x^{2} + 10 x}$
191291	Expand the Logarithmic Expression	log of (z^2)/( square root of x^3y)	$\log (\frac{z^{2}}{\sqrt{x^{3}} y})$
191292	Solve for x	12-(4x-18)=(36+4x)+(18-6x)	$12 - (4 x - 18) = (36 + 4 x) + (18 - 6 x)$
191293	Simplify	3^22^3-3 square root of 5^2+15(3+2)	$3^{2} \cdot 2^{3} - 3 \cdot \sqrt{5^{2} + 15 (3 + 2)}$
191294	Solve for y	-12 2/3=-1 1/9y	$- 12 \frac{2}{3} = - 1 \frac{1}{9} y$
191295	Solve for x	square root of x-15=3- square root of x	$\sqrt{x - 15} = 3 - \sqrt{x}$
191296	Evaluate	(5/7)^10*1.4^9	${(\frac{5}{7})}^{10} \cdot {1.4}^{9}$
191297	Evaluate	f(x-1)=2x+3	$f (x - 1) = 2 x + 3$
191298	Solve for x	3/x+5/(x+2)=2	$\frac{3}{x} + \frac{5}{x + 2} = 2$
191299	Graph	f(x)=x/((x-3)(x+1))	$f (x) = \frac{x}{(x - 3) (x + 1)}$
191300	Factor	5a^4b^4+25a^8b^3-30a^9b^4	$5 a^{4} b^{4} + 25 a^{8} b^{3} - 30 a^{9} b^{4}$