Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
196101	Simplify	(5/3+5/x)/(10/(9x)+10/(3x^2))	$\frac{\frac{5}{3} + \frac{5}{x}}{\frac{10}{9 x} + \frac{10}{3 x^{2}}}$
196102	Graph	f(x)=-5x if x<=0; -5 if x>0	$f (x) = {\begin{cases} - 5 x & x \leq 0 \\ - 5 & x > 0 \end{cases}$
196103	Simplify	1/(6y^2)+-7/(8y)	$\frac{1}{6 y^{2}} + \frac{- 7}{8 y}$
196104	Factor	45e-27f	$45 e - 27 f$
196105	Find the Exact Value	sin(30 degrees )-cos(60 degrees )	$\sin (30 °) - \cos (60 °)$
196106	Find the Domain and Range	y = square root of x^2-4	$y = \sqrt{x^{2}} - 4$
196107	Write in Slope-Intercept Form	2x+3y<=6	$2 x + 3 y \leq 6$
196108	Find All Complex Solutions	sin(theta)^2+2cos(theta)^2=4	$\sin^{2} (θ) + 2 \cos^{2} (θ) = 4$
196109	Solve for h	h+6/5=2	$h + \frac{6}{5} = 2$
196110	Solve the Absolute Value Inequality for x	5\|x+3\|+8=6	$5 \| x + 3 \| + 8 = 6$
196111	Solve for s	3(10)=10+5s	$3 (10) = 10 + 5 s$
196112	Graph Using a Table of Values	f(x)=(-6x-12)/(x^2+x-12)	$f (x) = \frac{- 6 x - 12}{x^{2} + x - 12}$
196113	Determine if True	tan(theta)+cot(theta)=sec(theta)csc(theta)	$\tan (θ) + \cot (θ) = \sec (θ) \csc (θ)$
196114	Solve the System of Equations	-x+y+3z=-3 x-2y-2z=8 3x-y-4z=6	$- x + y + 3 z = - 3$ $x - 2 y - 2 z = 8$ $3 x - y - 4 z = 6$
196115	Simplify	-(2x)/2	$- \frac{2 x}{2}$
196116	Write in Standard Form	(x^2)/2+(4x)/3=6	$\frac{x^{2}}{2} + \frac{4 x}{3} = 6$
196117	Convert to a Decimal	540deg	$540$ degrees
196118	Find the Excluded Values	1/(x-2)+1/(x+3)=1/(x^2+x-6)	$\frac{1}{x - 2} + \frac{1}{x + 3} = \frac{1}{x^{2} + x - 6}$
196119	Solve by Factoring	b^2-4ac=0	$b^{2} - 4 a c = 0$
196120	Solve for x	-5x-3(-7x+3/2)=-(x+6)-3/2	$- 5 x - 3 (- 7 x + \frac{3}{2}) = - (x + 6) - \frac{3}{2}$
196121	Simplify	(1/(x-2))/(2+1/x)	$\frac{\frac{1}{x - 2}}{2 + \frac{1}{x}}$
196122	Find a,b,c	(x-2)(2x+4)=12	$(x - 2) (2 x + 4) = 12$
196123	Graph	(x+2)<(5) intersect (x-7)>(-6)	$(x + 2) < (5) \cap (x - 7) > (- 6)$
196124	Simplify	(-1\|2/3-4\|)÷(5/6)	$- 1 \| \frac{2}{3} - 4 \| \div \frac{5}{6}$
196125	Write as a Single Logarithm	natural log of 4+ natural log of 3x	$\ln (4) + \ln (3 x)$
196126	Evaluate	23-2(17+3^3)	$23 - 2 (17 + 3^{3})$
196127	Multiply	253/51/12	$25 \cdot \frac{3}{5} \cdot \frac{1}{12}$
196128	Solve for x	-x^2+6x=x+4	$- x^{2} + 6 x = x + 4$
196129	Solve the Inequality for g	3(7g+17)>-19+14g	$3 (7 g + 17) > - 19 + 14 g$
196130	Evaluate	1/(4(1/(4x)))	$\frac{1}{4 (\frac{1}{4 x})}$
196131	Find the Exact Value	sin(((2pi)/3)/2)	$\sin (\frac{\frac{2 π}{3}}{2})$
196132	Write in Slope-Intercept Form	5x+6y>=-48	$5 x + 6 y \geq - 48$
196133	Evaluate	square root of x^2=\|x\|	$\sqrt{x^{2}} = \| x \|$
196134	Solve for x	-3/2x-(-x-1)=-6x+2(4x-1/4)	$- \frac{3}{2} x - (- x - 1) = - 6 x + 2 (4 x - \frac{1}{4})$
196135	Combine Like Terms	(-8x^2+10x+4)-(-4x+10)	$(- 8 x^{2} + 10 x + 4) - (- 4 x + 10)$
196136	Convert to Meters	55.9cm	$55.9 cm$
196137	Solve for x	3x-(2x)/5=(3x)/10+14	$3 x - \frac{2 x}{5} = \frac{3 x}{10} + 14$
196138	Rationalize the Denominator	(2 square root of 8)/( square root of 12)	$\frac{2 \sqrt{8}}{\sqrt{12}}$
196139	Solve for x	5/6x+2-x=1/6x	$\frac{5}{6} x + 2 - x = \frac{1}{6} x$
196140	Find a,b,c	(2x+5)(x-1)=-6	$(2 x + 5) (x - 1) = - 6$
196141	Find the Inverse	f(x)=-3/(-x-3)-2	$f (x) = - \frac{3}{- x - 3} - 2$
196142	Solve for x	1+2/(x-5)=(3x+5)/(x^2-25)	$1 + \frac{2}{x - 5} = \frac{3 x + 5}{x^{2} - 25}$
196143	Solve for t	3(t+1)=-1/2-5t	$3 (t + 1) = - \frac{1}{2} - 5 t$
196144	Write in Slope-Intercept Form	m=-3 , (-4,12)	$m = - 3$ , $(- 4, 12)$
196145	Simplify	(6/y-4/x)/y	$\frac{\frac{6}{y} - \frac{4}{x}}{y}$
196146	Solve the Absolute Value Inequality for x	-3\|4x-9\|=24	$- 3 \| 4 x - 9 \| = 24$
196147	Solve for r	V=4/3pir^3 ; solve for r	$V = \frac{4}{3} π r^{3}$ ; solve for $r$
196148	Solve the Inequality for x	(4-x)/(x+5)>=2	$\frac{4 - x}{x + 5} \geq 2$
196149	Solve for n	log base 4 of n-4+ log base 4 of n+2=2	$\log_{4} (n - 4) + \log_{4} (n + 2) = 2$
196150	Solve the Inequality for x	\|10+4x\|<14	$\| 10 + 4 x \| < 14$
196151	Graph	-x^2=48y	$- x^{2} = 48 y$
196152	Find the Product	(b^2+8)(b^2-8)	$(b^{2} + 8) (b^{2} - 8)$
196153	Solve the Rational Equation for x	1=1/(x^2+2x)+(x-1)/x	$1 = \frac{1}{x^{2} + 2 x} + \frac{x - 1}{x}$
196154	Factor	7x(-7x+1)^(-2/3)-2(-7x+1)^(1/3)	$7 x {(- 7 x + 1)}^{- \frac{2}{3}} - 2 {(- 7 x + 1)}^{\frac{1}{3}}$
196155	Find the End Behavior	f(x)=27x^3+1890-351x^2+9x^4-423x	$f (x) = 27 x^{3} + 1890 - 351 x^{2} + 9 x^{4} - 423 x$
196156	Solve for n	13/7n=-13/14	$\frac{13}{7} n = - \frac{13}{14}$
196157	Solve the System of Equations	p-3q=-1 -5p+16q=5	$p - 3 q = - 1$ $- 5 p + 16 q = 5$
196158	Solve the System of Equations	x^2-y=0 x+y=6	$x^{2} - y = 0$ $x + y = 6$
196159	Solve for a	-11(y^2-ay+2)=-11y^2+33y-b	$- 11 (y^{2} - a y + 2) = - 11 y^{2} + 33 y - b$
196160	Solve for p	11p^2-17p-20=p^2	$11 p^{2} - 17 p - 20 = p^{2}$
196161	Graph	g(x) = cube root of x+4 , x>=-4	$g (x) = \sqrt[3]{x + 4}$ , $x \geq - 4$
196162	Solve for x	0 = natural log of x	$0 = \ln (x)$
196163	Simplify	(-3x^2+6x-12)+(5x+9)	$(- 3 x^{2} + 6 x - 12) + (5 x + 9)$
196164	Graph Using a Table of Values	y = square root of x+5	$y = \sqrt{x + 5}$
196165	Solve the Inequality for x	x^2+4<0	$x^{2} + 4 < 0$
196166	Solve for k	(k+m)/-7=n	$\frac{k + m}{- 7} = n$
196167	Solve for x	1/(x+2)+5/(x-2)=(x+3)/(x-2)	$\frac{1}{x + 2} + \frac{5}{x - 2} = \frac{x + 3}{x - 2}$
196168	Solve for r	f=1/2(r+6.5)	$f = \frac{1}{2} (r + 6.5)$
196169	Write the Fraction in Simplest Form	1/2+3/2	$\frac{1}{2} + \frac{3}{2}$
196170	Find the Holes in the Graph	(x+1)/(-x-1)	$\frac{x + 1}{- x - 1}$
196171	Solve for x	9*27^x=27	$9 \cdot 27^{x} = 27$
196172	Solve the Inequality for z	2+3z<2z+-1	$2 + 3 z < 2 z + - 1$
196173	Simplify	(5^-1)/(-9^0)	$\frac{5^{- 1}}{- 9^{0}}$
196174	Graph	y = square root of \|x\|-3	$y = \sqrt{\| x \| - 3}$
196175	Solve for z	(z+3)/5-1/4=3/4	$\frac{z + 3}{5} - \frac{1}{4} = \frac{3}{4}$
196176	Solve the Inequality for y	-3y+12>=6	$- 3 y + 12 \geq 6$
196177	Solve for x	15=5/x+4	$15 = \frac{5}{x} + 4$
196178	Graph	x<8 or x<9	$x < 8$ or $x < 9$
196179	Solve for x	log base 2x of 2x^2+8x-6=2	$\log_{2 x} (2 x^{2} + 8 x - 6) = 2$
196180	Solve for n	0.25+1.5=n+0.25	$0.25 + 1.5 = n + 0.25$
196181	Simplify	(3x^2+9)-(2x^3-6)	$(3 x^{2} + 9) - (2 x^{3} - 6)$
196182	Solve for x	x=3x	$x = 3 x$
196183	Simplify	x/(1/x)	$\frac{x}{\frac{1}{x}}$
196184	Simplify	sixth root of 2^3	$\sqrt[6]{2^{3}}$
196185	Evaluate	-(-7/10-3/5)-(1/6+2/3)-(-2/15)	$- (- \frac{7}{10} - \frac{3}{5}) - (\frac{1}{6} + \frac{2}{3}) - (- \frac{2}{15})$
196186	Solve for x	(2x+8)/21+(x+1)/3=-7	$\frac{2 x + 8}{21} + \frac{x + 1}{3} = - 7$
196187	Simplify	((u^4v^3)^-3(-3uv^5)^4)/((6u^2v)^5)	$\frac{{(u^{4} v^{3})}^{- 3} {(- 3 u v^{5})}^{4}}{{(6 u^{2} v)}^{5}}$
196188	Multiply	(q^2+5q+6)/(6q+18)*(9q+27)/(q^2+8q+15)	$\frac{q^{2} + 5 q + 6}{6 q + 18} \cdot \frac{9 q + 27}{q^{2} + 8 q + 15}$
196189	Divide Using Synthetic Division	(3x-4x^3+6x^4+1)/(x+3)	$\frac{3 x - 4 x^{3} + 6 x^{4} + 1}{x + 3}$
196190	Simplify	(m^(2/3)n^(-1/3))^6	${(m^{\frac{2}{3}} n^{- \frac{1}{3}})}^{6}$
196191	Simplify	(x-y)/12+(2x+y)/15+(y-4x)/30	$\frac{x - y}{12} + \frac{2 x + y}{15} + \frac{y - 4 x}{30}$
196192	Multiply	-x(x)	$- x (x)$
196193	Graph	r(x)=3/2\|x\|	$r (x) = \frac{3}{2} \| x \|$
196194	Evaluate	log of 3(x+4)	$\log (3) (x + 4)$
196195	Find the Exact Value	sin(arccos(12/13)+arctan(4/3))	$\sin (\arccos (\frac{12}{13}) + \arctan (\frac{4}{3}))$
196196	Solve the Inequality for x	2+3/5(-9x-3)>-3x-5/2	$2 + \frac{3}{5} (- 9 x - 3) > - 3 x - \frac{5}{2}$
196197	Solve the Inequality for r	-5r+15>=-5(r-2)	$- 5 r + 15 \geq - 5 (r - 2)$
196198	Graph	f(x)=5 if x!=-2; -1 if x=-2	$f (x) = {\begin{cases} 5 & x \neq - 2 \\ - 1 & x = - 2 \end{cases}$
196199	Solve for x	2(x+7)-34=4x-11x+4(x-1)	$2 (x + 7) - 34 = 4 x - 11 x + 4 (x - 1)$
196200	Solve the System of Equations	2/x+1/y=4 3/x+5/y=-1	$\frac{2}{x} + \frac{1}{y} = 4$ $\frac{3}{x} + \frac{5}{y} = - 1$