Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
166301	Solve the Inequality for s	-9-5(-5s+8)<7s-3+10s	$- 9 - 5 (- 5 s + 8) < 7 s - 3 + 10 s$
166302	Solve for s	(s+4)^2=196	${(s + 4)}^{2} = 196$
166303	Simplify	fourth root of 16(x-3)^12	$\sqrt[4]{16 {(x - 3)}^{12}}$
166304	Simplify	((2a^2-7a-15)/(3a^2-8a-3)*(9a^2-1)/(4a^2-9))÷((a^2+3a-10)/(2a^2-9a+9))	$\frac{2 a^{2} - 7 a - 15}{3 a^{2} - 8 a - 3} \cdot \frac{9 a^{2} - 1}{4 a^{2} - 9} \div \frac{a^{2} + 3 a - 10}{2 a^{2} - 9 a + 9}$
166305	Solve the System of Inequalities	37>7-6x>-17	$37 > 7 - 6 x > - 17$
166306	Solve for n	(4n-8)/(n-2)=n+2	$\frac{4 n - 8}{n - 2} = n + 2$
166307	Graph	(y-2)^2+16(x-3)=0	${(y - 2)}^{2} + 16 (x - 3) = 0$
166308	Find the Domain and Range	y=(x-1)	$y = (x - 1)$
166309	Solve for m	7m-7m-13m+5m+2=-14	$7 m - 7 m - 13 m + 5 m + 2 = - 14$
166310	Find the x and y Intercepts	s(x)=(2x-4)/(x^2+x-2)	$s (x) = \frac{2 x - 4}{x^{2} + x - 2}$
166311	Solve for x	1/2((4x)/3-4)-4=0	$\frac{1}{2} (\frac{4 x}{3} - 4) - 4 = 0$
166312	Find the Roots (Zeros)	P(x)=x^3+x^2+4x+4	$P (x) = x^{3} + x^{2} + 4 x + 4$
166313	Solve the Inequality for h	-h+5(2h+7)<=-4h-5-9h	$- h + 5 (2 h + 7) \leq - 4 h - 5 - 9 h$
166314	Solve the Inequality for n	-6>5n+5+4	$- 6 > 5 n + 5 + 4$
166315	Solve the Inequality for s	s/-8>=11	$\frac{s}{- 8} \geq 11$
166316	Write in Exponential Form	log base (x-2) of x^2-x+14=7/5	$\log_{(x - 2)} (x^{2} - x + 14) = \frac{7}{5}$
166317	Solve by Factoring	0=z^2-10z+25	$0 = z^{2} - 10 z + 25$
166318	Find the Holes in the Graph	f(x)=(3x-12)/(x^2-16)	$f (x) = \frac{3 x - 12}{x^{2} - 16}$
166319	Solve for r	11q-4=3r-6	$11 q - 4 = 3 r - 6$
166320	Find the Exact Value	sin((5pi)/12)cos(pi/4)-cos((5pi)/12)sin(pi/4)	$\sin (\frac{5 π}{12}) \cos (\frac{π}{4}) - \cos (\frac{5 π}{12}) \sin (\frac{π}{4})$
166321	Solve the Inequality for n	-3n+2(10n-9)>=-3n+9-3	$- 3 n + 2 (10 n - 9) \geq - 3 n + 9 - 3$
166322	Graph Using a Table of Values	y=\|x-2\|	$y = \| x - 2 \|$
166323	Find the First Term	a_n=(-1)^(n+1)n^2	$a_{n} = {(- 1)}^{n + 1} n^{2}$
166324	Solve for x	4+\|2-3x\|=7	$4 + \| 2 - 3 x \| = 7$
166325	Solve for x	1/x-x/6=2/3	$\frac{1}{x} - \frac{x}{6} = \frac{2}{3}$
166326	Simplify	3c(5a+2b-1)	$3 c (5 a + 2 b - 1)$
166327	Simplify	(x+6)/(x^2+3x)-5/(x^2+x-6)	$\frac{x + 6}{x^{2} + 3 x} - \frac{5}{x^{2} + x - 6}$
166328	Solve the Inequality for v	10v-(5v+1)<=2v+7+4v	$10 v - (5 v + 1) \leq 2 v + 7 + 4 v$
166329	Solve for x	y=(7+x)*m	$y = (7 + x) \cdot m$
166330	Simplify	-7y+5-4+2x+3x+9x	$- 7 y + 5 - 4 + 2 x + 3 x + 9 x$
166331	Graph	y=(-3x^2)/(2x+6)	$y = \frac{- 3 x^{2}}{2 x + 6}$
166332	Evaluate	1/((y+3)^2-9)	$\frac{1}{{(y + 3)}^{2} - 9}$
166333	Combine Like Terms	4y^3-5x^3-1-4y^3-6+7+5y^3	$4 y^{3} - 5 x^{3} - 1 - 4 y^{3} - 6 + 7 + 5 y^{3}$
166334	Solve the Inequality for x	3x<=-6	$3 x \leq - 6$
166335	Write in Slope-Intercept Form	3x-2y<-6	$3 x - 2 y < - 6$
166336	Find the LCD	-11/(x^2-2x-15) and 5/(x^2-64)	$\frac{- 11}{x^{2} - 2 x - 15}$ and $\frac{5}{x^{2} - 64}$
166337	Graph	x+y>2 2x-y>1	$x + y > 2$ $2 x - y > 1$
166338	Solve for N	N+3.2=9.6	$N + 3.2 = 9.6$
166339	Simplify	1/(2- square root of 3)	$\frac{1}{2 - \sqrt{3}}$
166340	Solve the Inequality for y	1.1y<4.4	$1.1 y < 4.4$
166341	Graph	((-)/oo,-1) union (-1,infinity)	$(\frac{-}{o} o, - 1) \cup (- 1, \infty)$
166342	Find the LCD	(7x)/(4x-4) and 5/(3x-3)	$\frac{7 x}{4 x - 4}$ and $\frac{5}{3 x - 3}$
166343	Find the Function	f(x)=\|x-3\|	$f (x) = \| x - 3 \|$
166344	Find the Excluded Values	(x^2-3x-28)/(x^2-2x-35)	$\frac{x^{2} - 3 x - 28}{x^{2} - 2 x - 35}$
166345	Solve the Rational Equation for x	x/(x-2)-7=2/(x-2)	$\frac{x}{x - 2} - 7 = \frac{2}{x - 2}$
166346	Determine if Perpendicular	9x-6y=-20 and -3y=2x-11	$9 x - 6 y = - 20$ and $- 3 y = 2 x - 11$
166347	Solve the Inequality for x	(x-2)^2(x+9)>0	${(x - 2)}^{2} (x + 9) > 0$
166348	Solve for x	8-\|6-4x\|=7	$8 - \| 6 - 4 x \| = 7$
166349	Evaluate	arctan(-1/( square root of 3))	$\arctan (- \frac{1}{\sqrt{3}})$
166350	Solve for s	s+5/7=-1/2	$s + \frac{5}{7} = - \frac{1}{2}$
166351	Solve for θ	sin(theta)^2=3/4	$\sin^{2} (θ) = \frac{3}{4}$
166352	Solve for r	2(r+6)=4(r+4)	$2 (r + 6) = 4 (r + 4)$
166353	Find the GCF	-6z-8yz	$- 6 z - 8 y z$
166354	Determine the Number of Significant Figures	500	$500$
166355	Evaluate	square root of (9/8)^2	$\sqrt{{(\frac{9}{8})}^{2}}$
166356	Find the Product	(3k)/(k+1)*(k^2-1)/(3k^3)	$\frac{3 k}{k + 1} \cdot \frac{k^{2} - 1}{3 k^{3}}$
166357	Simplify	(3/(4y)-2/y)/(1/y+3/(2y))	$\frac{\frac{3}{4 y} - \frac{2}{y}}{\frac{1}{y} + \frac{3}{2 y}}$
166358	Simplify	(1-1/(x^2))/(1/x+1/(x^2))	$\frac{1 - \frac{1}{x^{2}}}{\frac{1}{x} + \frac{1}{x^{2}}}$
166359	Find the Exact Value	csc(420 degrees )	$\csc (420 °)$
166360	Multiply	1/3*-5	$\frac{1}{3} \cdot - 5$
166361	Write as a Single Logarithm	log base 2 of 8- log base 2 of x- log base 2 of y	$\log_{2} (8) - \log_{2} (x) - \log_{2} (y)$
166362	Find All Complex Solutions	csc(theta)+2=0	$\csc (θ) + 2 = 0$
166363	Simplify	-4/-3	$\frac{- 4}{- 3}$
166364	Simplify	( cube root of m^4)m^(-1/2)	$(\sqrt[3]{m^{4}}) m^{\frac{- 1}{2}}$
166365	Factor	x^2-7x+12+(x-3)^2	$x^{2} - 7 x + 12 + {(x - 3)}^{2}$
166366	Simplify	((2u^4)/(4uv^-5))^-3	${(\frac{2 u^{4}}{4 u v^{- 5}})}^{- 3}$
166367	Factor	f(x)=x^6-13x^4-52x^2+64	$f (x) = x^{6} - 13 x^{4} - 52 x^{2} + 64$
166368	Divide	3 1/2÷2	$3 \frac{1}{2} \div 2$
166369	Write in Exponential Form	( cube root of x)^2	${(\sqrt[3]{x})}^{2}$
166370	Simplify	(5- square root of -24)(5+ square root of -24)	$(5 - \sqrt{- 24}) (5 + \sqrt{- 24})$
166371	Solve the Inequality for q	q-1/2>1/3	$q - \frac{1}{2} > \frac{1}{3}$
166372	Evaluate	pi(1)^2	$π {(1)}^{2}$
166373	Solve for s	s+1/4s=-6-3/2	$s + \frac{1}{4} s = - 6 - \frac{3}{2}$
166374	Solve for x	2 natural log of e^( natural log of 5x)=2 natural log of 15	$2 \ln (e^{\ln (5 x)}) = 2 \ln (15)$
166375	Solve the Inequality for h	2>8-4/3h	$2 > 8 - \frac{4}{3} h$
166376	Multiply	(6v-3/4mw)(6v+3/4mw)	$(6 v - \frac{3}{4} m w) (6 v + \frac{3}{4} m w)$
166377	Find the Exact Value	cot(420 degrees )	$\cot (420 °)$
166378	Simplify	5-(2x+5)/(x-6)	$5 - \frac{2 x + 5}{x - 6}$
166379	Simplify	(4 square root of 20)(-6 square root of -6)	$(4 \sqrt{20}) (- 6 \sqrt{- 6})$
166380	Evaluate	-1/2+(-1/5)	$- \frac{1}{2} + (- \frac{1}{5})$
166381	Solve for x	-5/2+2/3x+1/6x=2x-2	$- \frac{5}{2} + \frac{2}{3} x + \frac{1}{6} x = 2 x - 2$
166382	Evaluate	cos(x)=0	$\cos (x) = 0$
166383	Find All Complex Solutions	sec((3theta)/2)=-2	$\sec (\frac{3 θ}{2}) = - 2$
166384	Evaluate	12 1/2-(-4 1/2)	$12 \frac{1}{2} - (- 4 \frac{1}{2})$
166385	Solve for x	(2x)/3+16/3=-(4x)/2	$\frac{2 x}{3} + \frac{16}{3} = - \frac{4 x}{2}$
166386	Simplify	5/(7-x)+3/(x-7)	$\frac{5}{7 - x} + \frac{3}{x - 7}$
166387	Solve for w	5=7w+8w+2	$5 = 7 w + 8 w + 2$
166388	Simplify	(2-4i)/(1+3i)	$\frac{2 - 4 i}{1 + 3 i}$
166389	Graph	6>=m-1	$6 \geq m - 1$
166390	Find the Intersection	x+1>3 , x-2>4	$x + 1 > 3$ , $x - 2 > 4$
166391	Graph	f^-1(x) = cube root of x+2	$f^{- 1} (x) = \sqrt[3]{x + 2}$
166392	Evaluate	(1+i)^2	${(1 + i)}^{2}$
166393	Solve the Inequality for x	x^2+x-20>0	$x^{2} + x - 20 > 0$
166394	Solve Using the Quadratic Formula	2/x-(3x)/2=7	$\frac{2}{x} - \frac{3 x}{2} = 7$
166395	Solve the System of Equations	x=y+10 7x+6y=5	$x = y + 10$ $7 x + 6 y = 5$
166396	Find the Holes in the Graph	f(x)=(x-9)/(x^2-81)	$f (x) = \frac{x - 9}{x^{2} - 81}$
166397	Find the Product	(3x-5y)^2	${(3 x - 5 y)}^{2}$
166398	Solve the System of Equations	x-2y=1 x+4y=7	$x - 2 y = 1$ $x + 4 y = 7$
166399	Find the Exact Value	(-1/2)^2	${(- \frac{1}{2})}^{2}$
166400	Solve for x	-4 = cube root of 5x+1	$- 4 = \sqrt[3]{5 x + 1}$