Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
172101	Evaluate	arcsec((2 square root of 3)/3)	$arcsec (\frac{2 \sqrt{3}}{3})$
172102	Simplify	(x/3)/3	$\frac{\frac{x}{3}}{3}$
172103	Solve for x	17-2x=2x+5+2x	$17 - 2 x = 2 x + 5 + 2 x$
172104	Solve the System of Equations	3x-y=3 y=2x+2	$3 x - y = 3$ $y = 2 x + 2$
172105	Solve the Inequality for x	2-(2x-4)>-4	$2 - (2 x - 4) > - 4$
172106	Graph	f(x)<-\|x-4\|	$f (x) < - \| x - 4 \|$
172107	Solve for n	14n+6p-8n=18p for n	$14 n + 6 p - 8 n = 18 p$ for $n$
172108	Solve for a	(4a-8)^2=-64	${(4 a - 8)}^{2} = - 64$
172109	Find the Quotient	((a-3)/7)÷((3-a)/21)	$\frac{a - 3}{7} \div \frac{3 - a}{21}$
172110	Evaluate	e^(2x)-8e^x+7=0	$e^{2 x} - 8 e^{x} + 7 = 0$
172111	Solve Using the Quadratic Formula	3x^2+x=-2x-7	$3 x^{2} + x = - 2 x - 7$
172112	Solve for m	6^(3m)*6^(-m)=6^(-2m)	$6^{3 m} \cdot 6^{- m} = 6^{- 2 m}$
172113	Write the Fraction in Simplest Form	2/3+1/4	$\frac{2}{3} + \frac{1}{4}$
172114	Simplify	(8/(r^3s^2))÷(6/(rs^4))	$\frac{8}{r^{3} s^{2}} \div \frac{6}{r s^{4}}$
172115	Find the Roots (Zeros)	(x^2-9)(x^2+x-2)	$(x^{2} - 9) (x^{2} + x - 2)$
172116	Evaluate	1+13*2+5^2-3+15-3	$1 + 13 \cdot 2 + 5^{2} - 3 + 15 - 3$
172117	Write in Exponential Form	log base (x-2) of 2x=3x	$\log_{(x - 2)} (2 x) = 3 x$
172118	Solve for θ	cos(2theta)+6sin(theta)^2=4	$\cos (2 θ) + 6 \sin^{2} (θ) = 4$
172119	Solve for x	-2xe^(-x^2)=0	$- 2 x e^{- x^{2}} = 0$
172120	Graph	g(x)=f(x-1)+2	$g (x) = f (x - 1) + 2$
172121	Simplify	fourth root of (k^16)/(16z^4)	$\sqrt[4]{\frac{k^{16}}{16 z^{4}}}$
172122	Evaluate	2/(2/x)	$\frac{2}{\frac{2}{x}}$
172123	Solve the Inequality for x	x^3>x	$x^{3} > x$
172124	Solve for r	-9(r+3)+11=-9(11r+1)-7	$- 9 (r + 3) + 11 = - 9 (11 r + 1) - 7$
172125	Solve the Inequality for x	4(x-3)-8<=5-x	$4 (x - 3) - 8 \leq 5 - x$
172126	Simplify	(xx^5y^-2)/(y^-8)	$\frac{x \cdot x^{5} y^{- 2}}{y^{- 8}}$
172127	Find the Quotient	(-2x^4+6x^2-15+3x^3)÷(-x^2+x+2)	$(- 2 x^{4} + 6 x^{2} - 15 + 3 x^{3}) \div (- x^{2} + x + 2)$
172128	Simplify	(4m)/(3mn)+2	$\frac{4 m}{3 m n} + 2$
172129	Solve for x	-2 square root of 24x+13=-11	$- 2 \sqrt{24 x} + 13 = - 11$
172130	Solve the Inequality for x	30>=5x-5>=-25	$30 \geq 5 x - 5 \geq - 25$
172131	Simplify	((25x^4)/4)^(-1/2)	${(\frac{25 x^{4}}{4})}^{- \frac{1}{2}}$
172132	Graph	log base 6 of x-1 = log base 2 of 2x+2	$\log_{6} (x - 1) = \log_{2} (2 x + 2)$
172133	Graph	y=-\|1/3x\|+4	$y = - \| \frac{1}{3} x \| + 4$
172134	Solve for k	D=1/2fk for k	$D = \frac{1}{2} f k$ for $k$
172135	Solve Using the Quadratic Formula	(x+10)^2-8=8	${(x + 10)}^{2} - 8 = 8$
172136	Solve for v	v^3-2v^2-16v=-32	$v^{3} - 2 v^{2} - 16 v = - 32$
172137	Graph	x=3/x	$x = \frac{3}{x}$
172138	Solve Using the Quadratic Formula	x+1/6=1/(6x)	$x + \frac{1}{6} = \frac{1}{6 x}$
172139	Solve for x	9^(-3x)*9^x=27	$9^{- 3 x} \cdot 9^{x} = 27$
172140	Simplify	(4c^-3)/(-4(d^4c^5)^-4)	$\frac{4 c^{- 3}}{- 4 {(d^{4} c^{5})}^{- 4}}$
172141	Solve for b	1/2=3/8+1/2b	$\frac{1}{2} = \frac{3}{8} + \frac{1}{2} b$
172142	Solve the System of Inequalities	20>-3x-7 and -28>=-3x-7	$20 > - 3 x - 7$ and $- 28 \geq - 3 x - 7$
172143	Simplify	(-5c^-2)/(-4(c^4)^4)	$\frac{- 5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
172144	Find the Excluded Values	(-2x)/17	$\frac{- 2 x}{17}$
172145	Evaluate	2*180/pi	$2 \cdot \frac{180}{π}$
172146	Evaluate	3 natural log of e^4+ natural log of e^-17	$3 \ln (e^{4}) + \ln (e^{- 17})$
172147	Solve for θ	2sin(theta)^2-3sin(theta)-2=0	$2 \sin^{2} (θ) - 3 \sin (θ) - 2 = 0$
172148	Graph	f^-1(0)	$f^{- 1} (0)$
172149	Evaluate	(1+0.06/4)	$(1 + \frac{0.06}{4})$
172150	Write in Standard Form	x+x^2	$x + x^{2}$
172151	Graph	x<=-3 5x+3y>=-9	$x \leq - 3$ $5 x + 3 y \geq - 9$
172152	Subtract	5y^2-6y-11 from 6y^2+2y+5	$5 y^{2} - 6 y - 11$ from $6 y^{2} + 2 y + 5$
172153	Simplify	(2/(x-2)-3/(x^2-4))/(5/(x^2-4)-2/(x+2))	$\frac{\frac{2}{x - 2} - \frac{3}{x^{2} - 4}}{\frac{5}{x^{2} - 4} - \frac{2}{x + 2}}$
172154	Solve the Absolute Value Inequality for x	\|x-2\|-5<-2	$\| x - 2 \| - 5 < - 2$
172155	Solve for x	(3-4x)/6-(2x-3)/8>=2-x	$\frac{3 - 4 x}{6} - \frac{2 x - 3}{8} \geq 2 - x$
172156	Find the Exact Value	log base 25 of 5	$\log_{25} (5)$
172157	Solve for v	(4v-3)/(v^2)=5/(2v)	$\frac{4 v - 3}{v^{2}} = \frac{5}{2 v}$
172158	Solve for x	3/(x-3)+2/(x+1)=(4x)/(x^2-2x-3)	$\frac{3}{x - 3} + \frac{2}{x + 1} = \frac{4 x}{x^{2} - 2 x - 3}$
172159	Simplify	1/((2i)^3)	$\frac{1}{{(2 i)}^{3}}$
172160	Solve for a	\|a/11\|=7	$\| \frac{a}{11} \| = 7$
172161	Solve for x	square root of x^2-10x+25=x-5	$\sqrt{x^{2} - 10 x + 25} = x - 5$
172162	Graph Using a Table of Values	f(x)=-x	$f (x) = - x$
172163	Rationalize the Denominator	(3+ square root of b)/(3 square root of b)	$\frac{3 + \sqrt{b}}{3 \sqrt{b}}$
172164	Simplify	-8/27-5/(9x)	$- \frac{8}{27} - \frac{5}{9 x}$
172165	Simplify	(-3y^-5)/(5(y)^2)	$\frac{- 3 y^{- 5}}{5 {(y)}^{2}}$
172166	Simplify	3x-(2y-(5x+3y))	$3 x - (2 y - (5 x + 3 y))$
172167	Rationalize the Denominator	5/( square root of 14-2)	$\frac{5}{\sqrt{14} - 2}$
172168	Solve for t	(3t+3)/5=6	$\frac{3 t + 3}{5} = 6$
172169	Solve for x	x*0.6(x-1)=9(x+2)	$x \cdot 0.6 (x - 1) = 9 (x + 2)$
172170	Solve the Inequality for x	-3x-4>8x+7	$- 3 x - 4 > 8 x + 7$
172171	Evaluate	-2/infinity	$\frac{- 2}{\infty}$
172172	Graph	y=sin(x+90 degrees )	$y = \sin (x + 90 °)$
172173	Solve for c	25=\|5c\|	$25 = \| 5 c \|$
172174	Graph Using a Table of Values	f(x) = cube root of x-7	$f (x) = \sqrt[3]{x} - 7$
172175	Solve the Absolute Value Inequality for x	\|10+4x\|<14	$\| 10 + 4 x \| < 14$
172176	Solve for y	-2(2y+8)=4y+5+y	$- 2 (2 y + 8) = 4 y + 5 + y$
172177	Solve for p	(4p)/6+27=39	$\frac{4 p}{6} + 27 = 39$
172178	Simplify	(cos(theta))/(1-csc(theta))*(1+csc(theta))/(1+csc(theta))	$\frac{\cos (θ)}{1 - \csc (θ)} \cdot \frac{1 + \csc (θ)}{1 + \csc (θ)}$
172179	Solve the Inequality for x	3(x-3)<=3	$3 (x - 3) \leq 3$
172180	Divide	1 7/9÷(4/5)	$1 \frac{7}{9} \div \frac{4}{5}$
172181	Graph	y=x^2+4,x<2; -x+4,x>=2	$y = {\begin{cases} x^{2} + 4, x < 2 \\ - x + 4, x \geq 2 \end{cases}$
172182	Simplify	square root of (12+5i)(5i-12)	$\sqrt{(12 + 5 i) (5 i - 12)}$
172183	Find the x and y Intercepts	y=(x^2+3x)/((3x+1)^2)	$y = \frac{x^{2} + 3 x}{{(3 x + 1)}^{2}}$
172184	Solve for h	7a=10-2h	$7 a = 10 - 2 h$
172185	Factor	(x^2)/100-(y^2z^4)/81	$\frac{x^{2}}{100} - \frac{y^{2} z^{4}}{81}$
172186	Solve the Inequality for x	5+x<-3	$5 + x < - 3$
172187	Solve for f	9f+4-7f=8	$9 f + 4 - 7 f = 8$
172188	Graph	x<=-5/2	$x \leq - \frac{5}{2}$
172189	Simplify	((6x+6)/(x-1))÷((x^2+3x+2)/(2x-2))	$\frac{6 x + 6}{x - 1} \div \frac{x^{2} + 3 x + 2}{2 x - 2}$
172190	Simplify	8/(2(2+2))	$\frac{8}{2 (2 + 2)}$
172191	Evaluate	(3/2-2/15)(1/2+1/8)-23/48	$(\frac{3}{2} - \frac{2}{15}) (\frac{1}{2} + \frac{1}{8}) - \frac{23}{48}$
172192	Graph	F(x)=(x+2)(x-1)	$F (x) = (x + 2) (x - 1)$
172193	Solve the Inequality for x	2x+5<=3(x-2)	$2 x + 5 \leq 3 (x - 2)$
172194	Solve for x	3/(x^2+4x+4)=3/(x^2+8)	$\frac{3}{x^{2} + 4 x + 4} = \frac{3}{x^{2} + 8}$
172195	Simplify	w+14w-6w	$w + 14 w - 6 w$
172196	Graph	f^-1(x)=x/2+5/2	$f^{- 1} (x) = \frac{x}{2} + \frac{5}{2}$
172197	Simplify	(n+4)^2(3n^2-7n+1)	${(n + 4)}^{2} (3 n^{2} - 7 n + 1)$
172198	Graph	g(x)=f(-1/2x)	$g (x) = f (- \frac{1}{2} x)$
172199	Find the Degree	arccos(1/2)	$\arccos (\frac{1}{2})$
172200	Solve for x	-2/3x+9=4/3x-3	$- \frac{2}{3} x + 9 = \frac{4}{3} x - 3$