Mathway | Popular Problems

Popular Problems

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