Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
183201	Find the Axis of Symmetry	y=1/8x^2	$y = \frac{1}{8} x^{2}$
183202	Evaluate	(x-2y)^3	${(x - 2 y)}^{3}$
183203	Find the Holes in the Graph	f(x)=(3x^2-3x-6)/(x^2-3x+2)	$f (x) = \frac{3 x^{2} - 3 x - 6}{x^{2} - 3 x + 2}$
183204	Simplify	(2x)/(x-2)-(x+5)/(x+3)	$\frac{2 x}{x - 2} - \frac{x + 5}{x + 3}$
183205	Divide	-5/-2	$- \frac{5}{- 2}$
183206	Simplify	x^2 square root of 36x^4y^4	$x^{2} \sqrt{36 x^{4} y^{4}}$
183207	Find the Midpoint	(10,6) and (6,10)	$(10, 6)$ and $(6, 10)$
183208	Solve for x	(x+yi)+(8-5i)=4+3i	$(x + y i) + (8 - 5 i) = 4 + 3 i$
183209	Graph	(2,-pi/4)	$(2, - \frac{π}{4})$
183210	Graph	g(x)=-2f(x)+1	$g (x) = - 2 f (x) + 1$
183211	Simplify	(9x^3+36x^2-288x)/(6x^4-60x^3)*(x^2-9x-10)/(x^2+9x+8)	$\frac{9 x^{3} + 36 x^{2} - 288 x}{6 x^{4} - 60 x^{3}} \cdot \frac{x^{2} - 9 x - 10}{x^{2} + 9 x + 8}$
183212	Solve for x	(2/3)^(x-5)=(9/4)^((3x)/4)	${(\frac{2}{3})}^{x - 5} = {(\frac{9}{4})}^{\frac{3 x}{4}}$
183213	Write in Standard Form	2x+x^2=-13	$2 x + x^{2} = - 13$
183214	Solve for t	(9+t)/12=-3	$\frac{9 + t}{12} = - 3$
183215	Find the Exact Value	2sin((7pi)/6)	$2 \sin (\frac{7 π}{6})$
183216	Solve for x	square root of x-3- square root of x=3	$\sqrt{x - 3} - \sqrt{x} = 3$
183217	Solve the Inequality for x	x^3<9x	$x^{3} < 9 x$
183218	Find the x and y Intercepts	f(x)=(2x+4)/(x^2-x-2)	$f (x) = \frac{2 x + 4}{x^{2} - x - 2}$
183219	Find the LCM	10 and 4	$10$ and $4$
183220	Evaluate Using the Given Value	a+4 when a=7	$a + 4$ when $a = 7$
183221	Find the Midpoint	(10,9) and (7,2)	$(10, 9)$ and $(7, 2)$
183222	Solve for b	5<b-3	$5 < b - 3$
183223	Simplify	(10x+2x^2)/(25-x^2)*(x^2-2x-15)/(3x^2+12x+9)	$\frac{10 x + 2 x^{2}}{25 - x^{2}} \cdot \frac{x^{2} - 2 x - 15}{3 x^{2} + 12 x + 9}$
183224	Solve the Inequality for w	4w^2>4w-1	$4 w^{2} > 4 w - 1$
183225	Simplify	(6x-60)/(x^3+3x^2)*(x^3-9x)/(x^2-13x+30)	$\frac{6 x - 60}{x^{3} + 3 x^{2}} \cdot \frac{x^{3} - 9 x}{x^{2} - 13 x + 30}$
183226	Find the x and y Intercepts	f(x)=-2x(x^2-1)	$f (x) = - 2 x (x^{2} - 1)$
183227	Find the Inverse	f(x)=(-16+x)/4	$f (x) = \frac{- 16 + x}{4}$
183228	Multiply	(5a-5b)/(3a+6b)*(a+2b)/(a-b)	$\frac{5 a - 5 b}{3 a + 6 b} \cdot \frac{a + 2 b}{a - b}$
183229	Evaluate	5k+(-2k)-(-1)	$5 k + (- 2 k) - (- 1)$
183230	Solve for x	25(x^2-5)+14=10	$25 (x^{2} - 5) + 14 = 10$
183231	Solve for q	3(1/4q+1)=q	$3 (\frac{1}{4} q + 1) = q$
183232	Solve the Inequality for x	-3(x-2)<=1/3	$- 3 (x - 2) \leq \frac{1}{3}$
183233	Solve the Inequality for d	7d-1<6d	$7 d - 1 < 6 d$
183234	Graph	f(x)=-x^2(x-2)(x+3)	$f (x) = - x^{2} (x - 2) (x + 3)$
183235	Simplify	1/2-3(1/2+1)^2	$\frac{1}{2} - 3 {(\frac{1}{2} + 1)}^{2}$
183236	Solve for x	(x+2)^2-10(x+2)=-9	${(x + 2)}^{2} - 10 (x + 2) = - 9$
183237	Graph Using a Table of Values	y=(x+5)^2	$y = {(x + 5)}^{2}$
183238	Solve for x	-3/(x-3)+1/(x+5)=1	$\frac{- 3}{x - 3} + \frac{1}{x + 5} = 1$
183239	Simplify	i/(1+2i)	$\frac{i}{1 + 2 i}$
183240	Factor	x^2+x=0	$x^{2} + x = 0$
183241	Solve for n	(2-n)(6+2/3n)(n-2)=0	$(2 - n) (6 + \frac{2}{3} n) (n - 2) = 0$
183242	Find f(g(x))	f(x)=-x+3 g(x)=2x^2-3x-7	$f (x) = - x + 3$ $g (x) = 2 x^{2} - 3 x - 7$
183243	Find the Holes in the Graph	f(x)=(x-9)/(5x+1)	$f (x) = \frac{x - 9}{5 x + 1}$
183244	Graph Using a Table of Values	y=-x^2+4x-3	$y = - x^{2} + 4 x - 3$
183245	Find the Inverse	f(x)=5(x^(1/3)-6)	$f (x) = 5 (x^{\frac{1}{3}} - 6)$
183246	Solve for X	4X-1+9=9X-22	$4 X - 1 + 9 = 9 X - 22$
183247	Simplify	6xy(1/2x^2-1/3xy+1/6y^2)	$6 x y (\frac{1}{2} x^{2} - \frac{1}{3} x y + \frac{1}{6} y^{2})$
183248	Find the Exact Value	sec(45 degrees )^2	$\sec^{2} (45 °)$
183249	Solve the System of Equations	2x+y+2z=-2 -x+2y-2z=-5 2x+y+4z=0	$2 x + y + 2 z = - 2$ $- x + 2 y - 2 z = - 5$ $2 x + y + 4 z = 0$
183250	Graph	-4<x<=5	$- 4 < x \leq 5$
183251	Solve for y	11-12y=3+6x	$11 - 12 y = 3 + 6 x$
183252	Solve for x	8x+2=72+x	$8 x + 2 = 72 + x$
183253	Solve the Inequality for x	x/(x-6)>0	$\frac{x}{x - 6} > 0$
183254	Solve for x	3\|2x+7\|+7<4	$3 \| 2 x + 7 \| + 7 < 4$
183255	Solve for x₁	m=(y_2-y_1)/(x_2-x_1)	$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$
183256	Solve the Rational Equation for x	square root of x+3+3=x	$\sqrt{x + 3} + 3 = x$
183257	Write in Standard Form	25x^2-39y^2+150x+390y=-225	$25 x^{2} - 39 y^{2} + 150 x + 390 y = - 225$
183258	Find the Midpoint	(10,3) and (2,9)	$(10, 3)$ and $(2, 9)$
183259	Evaluate	-1/( square root of 1-(-1)^2)	$\frac{- 1}{\sqrt{1 - {(- 1)}^{2}}}$
183260	Solve for x	y=5x-4x	$y = 5 x - 4 x$
183261	Find the Parabola with Focus (0,1) and Directrix y=-1	(0,1) y=-1	$(0, 1)$ $y = - 1$
183262	Find the x and y Intercepts	f(x)=2-7x^3-7x^2-x	$f (x) = 2 - 7 x^{3} - 7 x^{2} - x$
183263	Simplify	(-20k^4-26k^3)/(12k^4+8k^3)	$\frac{- 20 k^{4} - 26 k^{3}}{12 k^{4} + 8 k^{3}}$
183264	Solve for y	(y+2)/(y+1)+(2y^2-y+3)/(y^2-1)=-(y-2)/(y-1)	$\frac{y + 2}{y + 1} + \frac{2 y^{2} - y + 3}{y^{2} - 1} = - \frac{y - 2}{y - 1}$
183265	Find f(g(x))	f(x)=-x and g(x)=-x	$f (x) = - x$ and $g (x) = - x$
183266	Solve for x	3x-x/a=c	$3 x - \frac{x}{a} = c$
183267	Solve the Inequality for x	\|2x-1\|<5	$\| 2 x - 1 \| < 5$
183268	Solve for x	x-(x-1)/3-(2x-5)/5+(x+8)/6=7	$x - \frac{x - 1}{3} - \frac{2 x - 5}{5} + \frac{x + 8}{6} = 7$
183269	Evaluate	5/8(1/3)^2+5/9	$\frac{5}{8} {(\frac{1}{3})}^{2} + \frac{5}{9}$
183270	Find the Axis of Symmetry	2x^2-8y=0	$2 x^{2} - 8 y = 0$
183271	Solve for x	3/(x-4)=(x-5)/x	$\frac{3}{x - 4} = \frac{x - 5}{x}$
183272	Evaluate	cos(arcsin(( square root of 3)/2))	$\cos (\arcsin (\frac{\sqrt{3}}{2}))$
183273	Solve the System of Equations	2x-y=11 x+3y=-5	$2 x - y = 11$ $x + 3 y = - 5$
183274	Graph	y=2^(1/4x)+3	$y = 2^{\frac{1}{4} x} + 3$
183275	Find the First Term	a_n=n^2-1	$a_{n} = n^{2} - 1$
183276	Simplify	(7w^4-3wz+8wz^2)-(3w^4+2wz-6wz^2)	$(7 w^{4} - 3 w z + 8 w z^{2}) - (3 w^{4} + 2 w z - 6 w z^{2})$
183277	Graph	[10,infinity)	$[10, \infty)$
183278	Graph	4x+3y>-6 x-3y<=-9	$4 x + 3 y > - 6$ $x - 3 y \leq - 9$
183279	Convert to a Decimal	sin(90)deg	$\sin (90)$ degrees
183280	Simplify	(2ab^2)(4a^2b^3)-(10a^3b)(6b^4)	$(2 a b^{2}) (4 a^{2} b^{3}) - (10 a^{3} b) (6 b^{4})$
183281	Solve the Inequality for x	\|x+4\|<=9	$\| x + 4 \| \leq 9$
183282	Simplify	3/(x-3)+2/(x+3)-(4x)/(x^2-9)	$\frac{3}{x - 3} + \frac{2}{x + 3} - \frac{4 x}{x^{2} - 9}$
183283	Evaluate	-(-4)^2+7(-2)^4-2(-3)^3	$- {(- 4)}^{2} + 7 {(- 2)}^{4} - 2 {(- 3)}^{3}$
183284	Graph	y+2x>=0	$y + 2 x \geq 0$
183285	Find the Inverse	f(x)=((x+3)^(1/3))/8	$f (x) = \frac{{(x + 3)}^{\frac{1}{3}}}{8}$
183286	Graph	y<8x^2-5	$y < 8 x^{2} - 5$
183287	Factor	x^3+2x^2-5x-6=0	$x^{3} + 2 x^{2} - 5 x - 6 = 0$
183288	Find f(g(x))	f(x)=5x-15 g(x)=2x^2+4x-3	$f (x) = 5 x - 15$ $g (x) = 2 x^{2} + 4 x - 3$
183289	Solve for x	2/9x-4=2/3	$\frac{2}{9} x - 4 = \frac{2}{3}$
183290	Solve for a	(x^(2/3))^(5/6)=x^a	${(x^{\frac{2}{3}})}^{\frac{5}{6}} = x^{a}$
183291	Solve for x	3.5=360(0.5)^(x/4)	$3.5 = 360 {(0.5)}^{\frac{x}{4}}$
183292	Find All Complex Solutions	-\|x-4\|+2=-2x+7	$- \| x - 4 \| + 2 = - 2 x + 7$
183293	Simplify	(2p^3*2p)^2	${(2 p^{3} \cdot 2 p)}^{2}$
183294	Graph Using a Table of Values	y=1/(x-2)	$y = \frac{1}{x - 2}$
183295	Simplify	(5a-3a^2)-(-6a-6)	$(5 a - 3 a^{2}) - (- 6 a - 6)$
183296	Find the Domain and Range	y=\|2x\|	$y = \| 2 x \|$
183297	Find the Holes in the Graph	(-3x^2+3x)/(5x^2-30x+25)	$\frac{- 3 x^{2} + 3 x}{5 x^{2} - 30 x + 25}$
183298	Find g(f(x))	f(x)=4x^4-15 and g(x)=2x+11	$f (x) = 4 x^{4} - 15$ and $g (x) = 2 x + 11$
183299	Solve for x	x/(x+5)+(3x)/(x^2+7x+10)=2/(x+2)	$\frac{x}{x + 5} + \frac{3 x}{x^{2} + 7 x + 10} = \frac{2}{x + 2}$
183300	Solve the Inequality for t	t-5<=-7	$t - 5 \leq - 7$