Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166301	Write in Exponential Form	log base (x-2) of x^2-x+14=7/5	$\log_{(x - 2)} (x^{2} - x + 14) = \frac{7}{5}$
166302	Solve by Factoring	0=z^2-10z+25	$0 = z^{2} - 10 z + 25$
166303	Find the Holes in the Graph	f(x)=(3x-12)/(x^2-16)	$f (x) = \frac{3 x - 12}{x^{2} - 16}$
166304	Solve for r	11q-4=3r-6	$11 q - 4 = 3 r - 6$
166305	Find the Exact Value	sin((5pi)/12)cos(pi/4)-cos((5pi)/12)sin(pi/4)	$\sin (\frac{5 π}{12}) \cos (\frac{π}{4}) - \cos (\frac{5 π}{12}) \sin (\frac{π}{4})$
166306	Solve the Inequality for n	-3n+2(10n-9)>=-3n+9-3	$- 3 n + 2 (10 n - 9) \geq - 3 n + 9 - 3$
166307	Graph Using a Table of Values	y=\|x-2\|	$y = \| x - 2 \|$
166308	Find the First Term	a_n=(-1)^(n+1)n^2	$a_{n} = {(- 1)}^{n + 1} n^{2}$
166309	Solve for x	4+\|2-3x\|=7	$4 + \| 2 - 3 x \| = 7$
166310	Solve for x	1/x-x/6=2/3	$\frac{1}{x} - \frac{x}{6} = \frac{2}{3}$
166311	Simplify	3c(5a+2b-1)	$3 c (5 a + 2 b - 1)$
166312	Simplify	(x+6)/(x^2+3x)-5/(x^2+x-6)	$\frac{x + 6}{x^{2} + 3 x} - \frac{5}{x^{2} + x - 6}$
166313	Solve the Inequality for v	10v-(5v+1)<=2v+7+4v	$10 v - (5 v + 1) \leq 2 v + 7 + 4 v$
166314	Solve for x	y=(7+x)*m	$y = (7 + x) \cdot m$
166315	Simplify	-7y+5-4+2x+3x+9x	$- 7 y + 5 - 4 + 2 x + 3 x + 9 x$
166316	Graph	y=(-3x^2)/(2x+6)	$y = \frac{- 3 x^{2}}{2 x + 6}$
166317	Evaluate	1/((y+3)^2-9)	$\frac{1}{{(y + 3)}^{2} - 9}$
166318	Combine Like Terms	4y^3-5x^3-1-4y^3-6+7+5y^3	$4 y^{3} - 5 x^{3} - 1 - 4 y^{3} - 6 + 7 + 5 y^{3}$
166319	Solve the Inequality for x	3x<=-6	$3 x \leq - 6$
166320	Write in Slope-Intercept Form	3x-2y<-6	$3 x - 2 y < - 6$
166321	Find the LCD	-11/(x^2-2x-15) and 5/(x^2-64)	$\frac{- 11}{x^{2} - 2 x - 15}$ and $\frac{5}{x^{2} - 64}$
166322	Graph	x+y>2 2x-y>1	$x + y > 2$ $2 x - y > 1$
166323	Solve for N	N+3.2=9.6	$N + 3.2 = 9.6$
166324	Simplify	1/(2- square root of 3)	$\frac{1}{2 - \sqrt{3}}$
166325	Solve the Inequality for y	1.1y<4.4	$1.1 y < 4.4$
166326	Graph	((-)/oo,-1) union (-1,infinity)	$(\frac{-}{o} o, - 1) \cup (- 1, \infty)$
166327	Find the LCD	(7x)/(4x-4) and 5/(3x-3)	$\frac{7 x}{4 x - 4}$ and $\frac{5}{3 x - 3}$
166328	Find the Function	f(x)=\|x-3\|	$f (x) = \| x - 3 \|$
166329	Find the Excluded Values	(x^2-3x-28)/(x^2-2x-35)	$\frac{x^{2} - 3 x - 28}{x^{2} - 2 x - 35}$
166330	Solve the Rational Equation for x	x/(x-2)-7=2/(x-2)	$\frac{x}{x - 2} - 7 = \frac{2}{x - 2}$
166331	Determine if Perpendicular	9x-6y=-20 and -3y=2x-11	$9 x - 6 y = - 20$ and $- 3 y = 2 x - 11$
166332	Solve the Inequality for x	(x-2)^2(x+9)>0	${(x - 2)}^{2} (x + 9) > 0$
166333	Solve for x	8-\|6-4x\|=7	$8 - \| 6 - 4 x \| = 7$
166334	Evaluate	arctan(-1/( square root of 3))	$\arctan (- \frac{1}{\sqrt{3}})$
166335	Solve for s	s+5/7=-1/2	$s + \frac{5}{7} = - \frac{1}{2}$
166336	Solve for θ	sin(theta)^2=3/4	$\sin^{2} (θ) = \frac{3}{4}$
166337	Solve for r	2(r+6)=4(r+4)	$2 (r + 6) = 4 (r + 4)$
166338	Find the GCF	-6z-8yz	$- 6 z - 8 y z$
166339	Determine the Number of Significant Figures	500	$500$
166340	Evaluate	square root of (9/8)^2	$\sqrt{{(\frac{9}{8})}^{2}}$
166341	Find the Product	(3k)/(k+1)*(k^2-1)/(3k^3)	$\frac{3 k}{k + 1} \cdot \frac{k^{2} - 1}{3 k^{3}}$
166342	Simplify	(3/(4y)-2/y)/(1/y+3/(2y))	$\frac{\frac{3}{4 y} - \frac{2}{y}}{\frac{1}{y} + \frac{3}{2 y}}$
166343	Simplify	(1-1/(x^2))/(1/x+1/(x^2))	$\frac{1 - \frac{1}{x^{2}}}{\frac{1}{x} + \frac{1}{x^{2}}}$
166344	Find the Exact Value	csc(420 degrees )	$\csc (420 °)$
166345	Multiply	1/3*-5	$\frac{1}{3} \cdot - 5$
166346	Write as a Single Logarithm	log base 2 of 8- log base 2 of x- log base 2 of y	$\log_{2} (8) - \log_{2} (x) - \log_{2} (y)$
166347	Find All Complex Solutions	csc(theta)+2=0	$\csc (θ) + 2 = 0$
166348	Simplify	-4/-3	$\frac{- 4}{- 3}$
166349	Simplify	( cube root of m^4)m^(-1/2)	$(\sqrt[3]{m^{4}}) m^{\frac{- 1}{2}}$
166350	Factor	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
166351	Simplify	((2u^4)/(4uv^-5))^-3	${(\frac{2 u^{4}}{4 u v^{- 5}})}^{- 3}$
166352	Factor	f(x)=x^6-13x^4-52x^2+64	$f (x) = x^{6} - 13 x^{4} - 52 x^{2} + 64$
166353	Divide	3 1/2÷2	$3 \frac{1}{2} \div 2$
166354	Write in Exponential Form	( cube root of x)^2	${(\sqrt[3]{x})}^{2}$
166355	Simplify	(5- square root of -24)(5+ square root of -24)	$(5 - \sqrt{- 24}) (5 + \sqrt{- 24})$
166356	Solve the Inequality for q	q-1/2>1/3	$q - \frac{1}{2} > \frac{1}{3}$
166357	Evaluate	pi(1)^2	$π {(1)}^{2}$
166358	Solve for s	s+1/4s=-6-3/2	$s + \frac{1}{4} s = - 6 - \frac{3}{2}$
166359	Solve for x	2 natural log of e^( natural log of 5x)=2 natural log of 15	$2 \ln (e^{\ln (5 x)}) = 2 \ln (15)$
166360	Solve the Inequality for h	2>8-4/3h	$2 > 8 - \frac{4}{3} h$
166361	Multiply	(6v-3/4mw)(6v+3/4mw)	$(6 v - \frac{3}{4} m w) (6 v + \frac{3}{4} m w)$
166362	Find the Exact Value	cot(420 degrees )	$\cot (420 °)$
166363	Simplify	5-(2x+5)/(x-6)	$5 - \frac{2 x + 5}{x - 6}$
166364	Simplify	(4 square root of 20)(-6 square root of -6)	$(4 \sqrt{20}) (- 6 \sqrt{- 6})$
166365	Evaluate	-1/2+(-1/5)	$- \frac{1}{2} + (- \frac{1}{5})$
166366	Solve for x	-5/2+2/3x+1/6x=2x-2	$- \frac{5}{2} + \frac{2}{3} x + \frac{1}{6} x = 2 x - 2$
166367	Evaluate	cos(x)=0	$\cos (x) = 0$
166368	Find All Complex Solutions	sec((3theta)/2)=-2	$\sec (\frac{3 θ}{2}) = - 2$
166369	Evaluate	12 1/2-(-4 1/2)	$12 \frac{1}{2} - (- 4 \frac{1}{2})$
166370	Solve for x	(2x)/3+16/3=-(4x)/2	$\frac{2 x}{3} + \frac{16}{3} = - \frac{4 x}{2}$
166371	Simplify	5/(7-x)+3/(x-7)	$\frac{5}{7 - x} + \frac{3}{x - 7}$
166372	Solve for w	5=7w+8w+2	$5 = 7 w + 8 w + 2$
166373	Simplify	(2-4i)/(1+3i)	$\frac{2 - 4 i}{1 + 3 i}$
166374	Graph	6>=m-1	$6 \geq m - 1$
166375	Find the Intersection	x+1>3 , x-2>4	$x + 1 > 3$ , $x - 2 > 4$
166376	Graph	f^-1(x) = cube root of x+2	$f^{- 1} (x) = \sqrt[3]{x + 2}$
166377	Evaluate	(1+i)^2	${(1 + i)}^{2}$
166378	Solve the Inequality for x	x^2+x-20>0	$x^{2} + x - 20 > 0$
166379	Solve Using the Quadratic Formula	2/x-(3x)/2=7	$\frac{2}{x} - \frac{3 x}{2} = 7$
166380	Solve the System of Equations	x=y+10 7x+6y=5	$x = y + 10$ $7 x + 6 y = 5$
166381	Find the Holes in the Graph	f(x)=(x-9)/(x^2-81)	$f (x) = \frac{x - 9}{x^{2} - 81}$
166382	Find the Product	(3x-5y)^2	${(3 x - 5 y)}^{2}$
166383	Solve the System of Equations	x-2y=1 x+4y=7	$x - 2 y = 1$ $x + 4 y = 7$
166384	Find the Exact Value	(-1/2)^2	${(- \frac{1}{2})}^{2}$
166385	Solve for x	-4 = cube root of 5x+1	$- 4 = \sqrt[3]{5 x + 1}$
166386	Evaluate	(-5^2)	$(- 5^{2})$
166387	Factor	a^2b^3-n^4+a^2b^3x^2-n^4x^2-3a^2b^3x+3n^4x	$a^{2} b^{3} - n^{4} + a^{2} b^{3} x^{2} - n^{4} x^{2} - 3 a^{2} b^{3} x + 3 n^{4} x$
166388	Solve the Inequality for x	x/(x-2)<3-2/(x-2)	$\frac{x}{x - 2} < 3 - \frac{2}{x - 2}$
166389	Solve for r	1/2r+6=3-2r	$\frac{1}{2} r + 6 = 3 - 2 r$
166390	Solve for s	-2/3s=-20	$- \frac{2}{3} s = - 20$
166391	Find All Complex Solutions	csc(theta)+ square root of 2=0	$\csc (θ) + \sqrt{2} = 0$
166392	Solve for v	m-v=k	$m - v = k$
166393	Solve for x	79=(710)-(7*x)	$7 \cdot 9 = (7 \cdot 10) - (7 \cdot x)$
166394	Solve the Inequality for r	1-5(-7r+5)<=-5r+5-4	$1 - 5 (- 7 r + 5) \leq - 5 r + 5 - 4$
166395	Simplify	(3+ square root of 22)/(3- square root of 22)	$\frac{3 + \sqrt{22}}{3 - \sqrt{22}}$
166396	Combine Like Terms	3-5x^2-6y^3+2x^2-6+2+3y^3	$3 - 5 x^{2} - 6 y^{3} + 2 x^{2} - 6 + 2 + 3 y^{3}$
166397	Graph	f(g(x))	$f (g (x))$
166398	Simplify	(6t)/(2(t^4)^3)	$\frac{6 t}{2 {(t^{4})}^{3}}$
166399	Solve for v	-2v(v+1)=0	$- 2 v (v + 1) = 0$
166400	Simplify	(( square root of 2)/2)÷(( square root of 2)/2)	$\frac{\sqrt{2}}{2} \div \frac{\sqrt{2}}{2}$