Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
221301	Solve for a	1/6(12a)^(1/3)=1	$\frac{1}{6} {(12 a)}^{\frac{1}{3}} = 1$
221302	Simplify	(7x^2)(x^5)(3x)	$(7 x^{2}) (x^{5}) (3 x)$
221303	Factor	x^3+x^2-2x=0	$x^{3} + x^{2} - 2 x = 0$
221304	Find All Complex Solutions	x^4=-16	$x^{4} = - 16$
221305	Evaluate the Function	f(x)=1/(2^(x+2))+4	$f (x) = \frac{1}{2^{x + 2}} + 4$
221306	Write in Standard Form	f(x)=15x+5/3+2/3x^2	$f (x) = 15 x + \frac{5}{3} + \frac{2}{3} x^{2}$
221307	Solve for p	2(12p+28)^(1/4)-15=-7	$2 {(12 p + 28)}^{\frac{1}{4}} - 15 = - 7$
221308	Divide	(12x^6+54x)/6	$\frac{12 x^{6} + 54 x}{6}$
221309	Solve the Inequality for v	5+\|3v\|>20	$5 + \| 3 v \| > 20$
221310	Evaluate	27^(1/3)=3	$27^{\frac{1}{3}} = 3$
221311	Solve for x	3 3/4x-(1/2x+3/4x-1/4)=1 3/4x+1	$3 \frac{3}{4} x - (\frac{1}{2} x + \frac{3}{4} x - \frac{1}{4}) = 1 \frac{3}{4} x + 1$
221312	Solve the Inequality for x	(4x-5)/-0.75>8x-7	$\frac{4 x - 5}{- 0.75} > 8 x - 7$
221313	Find f(g(x))	f(x)=x+11 g(x)=2x^2-x-6	$f (x) = x + 11$ $g (x) = 2 x^{2} - x - 6$
221314	Evaluate	(1^0)/2	$\frac{1^{0}}{2}$
221315	Solve for n	t(n)=-8-7(n-1)	$t (n) = - 8 - 7 (n - 1)$
221316	Solve for y	c=3(y+k)	$c = 3 (y + k)$
221317	Factor by Grouping	(x+y)^2-(x-y)^2	${(x + y)}^{2} - {(x - y)}^{2}$
221318	Describe the Transformation	square root of 1/3(x+2)-7	$\sqrt{\frac{1}{3} (x + 2)} - 7$
221319	Graph	y+1>=0 y+x>=2	$y + 1 \geq 0$ $y + x \geq 2$
221320	Multiply	square root of 8x^5* square root of 3x	$\sqrt{8 x^{5}} \cdot \sqrt{3 x}$
221321	Solve the Absolute Value Inequality for v	-10\|v+2\|=-70	$- 10 \| v + 2 \| = - 70$
221322	Solve the Rational Equation for c	(c-4)/(c-2)=(c-2)/(c+2)-1/(2-c)	$\frac{c - 4}{c - 2} = \frac{c - 2}{c + 2} - \frac{1}{2 - c}$
221323	Solve the Inequality for x	-x+y<1	$- x + y < 1$
221324	Find the Union	(negative infinity,0) union (-1/3,infinity)	$(- \infty, 0) \cup (- \frac{1}{3}, \infty)$
221325	Find the Roots (Zeros)	x^4-3x^3-10x^2=0	$x^{4} - 3 x^{3} - 10 x^{2} = 0$
221326	Solve for y	1/(7y-5)=2/(9y)	$\frac{1}{7 y - 5} = \frac{2}{9 y}$
221327	Combine Like Terms	(-4k^4+14+3k^2)+(-3k^4-14k^2-8)	$(- 4 k^{4} + 14 + 3 k^{2}) + (- 3 k^{4} - 14 k^{2} - 8)$
221328	Graph	y-3>=\|x+5\|	$y - 3 \geq \| x + 5 \|$
221329	Simplify	(a^2+16)/(a-4)+(8a)/(4-a)	$\frac{a^{2} + 16}{a - 4} + \frac{8 a}{4 - a}$
221330	Graph	y<2x-1 y>=10-x	$y < 2 x - 1$ $y \geq 10 - x$
221331	Solve the Inequality for x	9x-8<=-2x-6(-x+2/3)	$9 x - 8 \leq - 2 x - 6 (- x + \frac{2}{3})$
221332	Solve for a	square root of 1-3a=2a	$\sqrt{1 - 3 a} = 2 a$
221333	Graph	g(x)=6 if x<-1; x^2-3 if -1<=x<=3; 6 if x>3	$g (x) = {\begin{cases} 6 & x < - 1 \\ x^{2} - 3 & - 1 \leq x \leq 3 \\ 6 & x > 3 \end{cases}$
221334	Solve for a	a(4-x)=-3x+b	$a (4 - x) = - 3 x + b$
221335	Factor	7(x+y)^2+13y(x+y)-2y^2	$7 {(x + y)}^{2} + 13 y (x + y) - 2 y^{2}$
221336	Write in Standard Form	3/4x-2=9/10	$\frac{3}{4} x - 2 = \frac{9}{10}$
221337	Write in Slope-Intercept Form	-x+y<1	$- x + y < 1$
221338	Solve the System of Inequalities	5/4-2y<3/2 and 3/5y+3<13/10	$\frac{5}{4} - 2 y < \frac{3}{2}$ and $\frac{3}{5} y + 3 < \frac{13}{10}$
221339	Multiply	6(x^2+2x+7)	$6 (x^{2} + 2 x + 7)$
221340	Divide Using Long Polynomial Division	2x^3+13x^2+20x+9 divided by 2x+9	$2 x^{3} + 13 x^{2} + 20 x + 9$ divided by $2 x + 9$
221341	Solve the System of Equations	y=x-1 2x-y=0	$y = x - 1$ $2 x - y = 0$
221342	Simplify	4y+5y^2-6-5y+27-y^2	$4 y + 5 y^{2} - 6 - 5 y + 27 - y^{2}$
221343	Solve for m	19m^2+5m-12=-6m^2	$19 m^{2} + 5 m - 12 = - 6 m^{2}$
221344	Convert to a Decimal	sin(450)deg	$\sin (450)$ degrees
221345	Find the Inverse	5x^(1/5)+3	$5 x^{\frac{1}{5}} + 3$
221346	Simplify	sin(2)(x)sec(2)(x)-sin(2)x	$\sin (2) (x) \sec (2) (x) - \sin (2) x$
221347	Simplify	(20x^7y^5-4x^7y^5)/(2x^4y^5)	$\frac{(20 x^{7} y^{5} - 4 x^{7} y^{5})}{2 x^{4} y^{5}}$
221348	Simplify	(4x^4*2x^2y^9)^2	${(4 x^{4} \cdot 2 x^{2} y^{9})}^{2}$
221349	Subtract	r/x-(3s)/y	$\frac{r}{x} - \frac{3 s}{y}$
221350	Find the Slope and y-intercept	5(y+2)=4(x-3)	$5 (y + 2) = 4 (x - 3)$
221351	Solve the Inequality for x	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
221352	Solve the Inequality for x	-3x^2+16x+53>-5x-1	$- 3 x^{2} + 16 x + 53 > - 5 x - 1$
221353	Simplify	(-8f^6g)(-7f^2g^5h)	$(- 8 f^{6} g) (- 7 f^{2} g^{5} h)$
221354	Evaluate	i^7*i^17	$i^{7} \cdot i^{17}$
221355	Evaluate	(2^3x^2)^5	${(2^{3} x^{2})}^{5}$
221356	Simplify	(2(cos(pi/4)+isin(pi/4)))^4	${(2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4})))}^{4}$
221357	Solve for p	y=3p^2-4	$y = 3 p^{2} - 4$
221358	Solve for y	6x+y=2y+8	$6 x + y = 2 y + 8$
221359	Solve for m	33=7+m^3	$33 = 7 + m^{3}$
221360	Simplify	1/(x-4)*(-x^2+9x-20)/(x+2)	$\frac{1}{x - 4} \cdot \frac{- x^{2} + 9 x - 20}{x + 2}$
221361	Solve for s	-3\|s\|=18	$- 3 \| s \| = 18$
221362	Find the Exact Value	(5^10)/(5^12)	$\frac{5^{10}}{5^{12}}$
221363	Solve for x	5^(2x)*5^(4x)=125	$5^{2 x} \cdot 5^{4 x} = 125$
221364	Evaluate	(9+5--6)(5+-6)	$(9 + 5 - - 6) (5 + - 6)$
221365	Find the Inverse	f(x)=7(( fifth root of x)/2-4)	$f (x) = 7 (\frac{\sqrt[5]{x}}{2} - 4)$
221366	Solve for x	4x-1/3(15x-3(-1+2x))=3/2(9-x-6)	$4 x - \frac{1}{3} (15 x - 3 (- 1 + 2 x)) = \frac{3}{2} (9 - x - 6)$
221367	Solve for x	2x+3/(x+2)=1	$2 x + \frac{3}{x + 2} = 1$
221368	Evaluate	pi/8*180/pi	$\frac{π}{8} \cdot \frac{180}{π}$
221369	Simplify	-(729/64)^(5/6)	$- {(\frac{729}{64})}^{\frac{5}{6}}$
221370	Evaluate	(16x^8y^-12)^(1/2)	${(16 x^{8} y^{- 12})}^{\frac{1}{2}}$
221371	Simplify	((2^-4)/(2^-4))^-4	${(\frac{2^{- 4}}{2^{- 4}})}^{- 4}$
221372	Find the LCM	24 and 36	$24$ and $36$
221373	Evaluate	1+ square root of 5x+5=5	$1 + \sqrt{5 x + 5} = 5$
221374	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+5x^3+2x^2+10x-12 is divided by x+2	Use synthetic division to find the result when $4 x^{4} + 5 x^{3} + 2 x^{2} + 10 x - 12$ is divided by $x + 2$
221375	Solve by Substitution	x^3+y^3=126 x^2-xy+y^2=21	$x^{3} + y^{3} = 126$ $x^{2} - x y + y^{2} = 21$
221376	Simplify	-2x--8x	$- 2 x - - 8 x$
221377	Factor	Factorise x^2+5x+6	Factorise $x^{2} + 5 x + 6$
221378	Write the Fraction in Simplest Form	(2(r^-2)^5)/(2r^-6)	$\frac{2 {(r^{- 2})}^{5}}{2 r^{- 6}}$
221379	Solve the Inequality for x	x/-1-6<-5	$\frac{x}{- 1} - 6 < - 5$
221380	Evaluate	(x^(-10/3))/(x^3)	$\frac{x^{- \frac{10}{3}}}{x^{3}}$
221381	Simplify	x square root of 2x^3	$x \sqrt{2 x^{3}}$
221382	Solve for x	x+30>3x	$x + 30 > 3 x$
221383	Solve the System of Equations	-6x-3y=-21 and 3x+y=6	$- 6 x - 3 y = - 21$ and $3 x + y = 6$
221384	Solve for y	square root of 3y+7=10	$\sqrt{3 y} + 7 = 10$
221385	Simplify	(cos(2a))/(cos(a)^2)	$\frac{\cos (2 a)}{\cos^{2} (a)}$
221386	Simplify	(4x^-4y^(2/3))/( fourth root of 16x^4y^2)	$\frac{4 x^{- 4} y^{\frac{2}{3}}}{\sqrt[4]{16 x^{4} y^{2}}}$
221387	Simplify	5x^3(2x+4y)	$5 x^{3} (2 x + 4 y)$
221388	Solve for w	e^w=10^x	$e^{w} = 10^{x}$
221389	Factor	an-mn-n^2+ma	$a n - m n - n^{2} + m a$
221390	Simplify	fourth root of square root of h^6i^24j^18	$\sqrt[4]{\sqrt{h^{6} i^{24} j^{18}}}$
221391	Evaluate	5 1/9-1/12*2/3	$5 \frac{1}{9} - \frac{1}{12} \cdot \frac{2}{3}$
221392	Multiply	(x^3+2x^2+1)(x^2+5)	$(x^{3} + 2 x^{2} + 1) (x^{2} + 5)$
221393	Simplify	(50-2w^2)/(3w^2+9w-30)*(w^2+5w-14)/(6w-30)	$\frac{50 - 2 w^{2}}{3 w^{2} + 9 w - 30} \cdot \frac{w^{2} + 5 w - 14}{6 w - 30}$
221394	Simplify the Radical Expression	fourth root of 64x^4	$\sqrt[4]{64 x^{4}}$
221395	Simplify	(8m)/(2n^-2)	$\frac{8 m}{2 n^{- 2}}$
221396	Find the Roots (Zeros)	cos(x)	$\cos (x)$
221397	Factor	2x^2-50+12xy+60y	$2 x^{2} - 50 + 12 x y + 60 y$
221398	Evaluate	-3(0.15-0.2+0.25p)	$- 3 (0.15 - 0.2 + 0.25 p)$
221399	Simplify	(cot(A)-1)(cot(A)+1)	$(\cot (A) - 1) (\cot (A) + 1)$
221400	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+12x^2+27x+8 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 12 x^{2} + 27 x + 8$ is divided by $3 x + 1$