Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
179101	Subtract	(2x^2-1)-(4x^2+2)	$(2 x^{2} - 1) - (4 x^{2} + 2)$
179102	Graph	y=1/2 cube root of -x	$y = \frac{1}{2} \sqrt[3]{- x}$
179103	Evaluate	(4!)/((4-4)!4!)	$\frac{4!}{(4 - 4)! 4!}$
179104	Evaluate	75^2+5-75	$7 \cdot 5^{2} + 5 - 7 \cdot 5$
179105	Solve for a	-3a-3=-2n+3p ; for a	$- 3 a - 3 = - 2 n + 3 p$ ; for $a$
179106	Convert to a Simplified Fraction	4/10	$\frac{4}{10}$
179107	Graph	f(x)=3x-2 if x<=-1; 2x-13 if x>2	$f (x) = {\begin{cases} 3 x - 2 & x \leq - 1 \\ 2 x - 13 & x > 2 \end{cases}$
179108	Multiply	cube root of x^2* fourth root of x^3	$\sqrt[3]{x^{2}} \cdot \sqrt[4]{x^{3}}$
179109	Graph	f(x)=x^5-x^4+x^2+8	$f (x) = x^{5} - x^{4} + x^{2} + 8$
179110	Find h(g(x))	g(x)=9x-2 h(x)=3x^2+2x	$g (x) = 9 x - 2$ $h (x) = 3 x^{2} + 2 x$
179111	Solve the Absolute Value Inequality for x	-7\|x+12\|<=-14	$- 7 \| x + 12 \| \leq - 14$
179112	Graph Using a Table of Values	y = log base 5 of x	$y = \log_{5} (x)$
179113	Solve for x	(x-3)/5-(4-3x)/3=2/15	$\frac{x - 3}{5} - \frac{4 - 3 x}{3} = \frac{2}{15}$
179114	Factor	x^2+x-30=0	$x^{2} + x - 30 = 0$
179115	Solve for x	0.49^x>0.7^(x+1)	${0.49}^{x} > {0.7}^{x + 1}$
179116	Solve for x	(3x+1)/(3x+2)=(x+2)/(x-5)	$\frac{3 x + 1}{3 x + 2} = \frac{x + 2}{x - 5}$
179117	Evaluate the Function	f(0) = square root of 0	$f (0) = \sqrt{0}$
179118	Factor	y=x^2-4x+3	$y = x^{2} - 4 x + 3$
179119	Graph	f(x)=-x^4+x^3+2x^2	$f (x) = - x^{4} + x^{3} + 2 x^{2}$
179120	Graph Using a Table of Values	y=x^3-2	$y = x^{3} - 2$
179121	Solve the Inequality for b	11.3>b/4.3	$11.3 > \frac{b}{4.3}$
179122	Solve the Inequality for x	14.2+15.5+x<51.3	$14.2 + 15.5 + x < 51.3$
179123	Find the Exact Value	(f+g)(-2)	$(f + g) (- 2)$
179124	Solve the Inequality for x	2x^2+x-1>=0	$2 x^{2} + x - 1 \geq 0$
179125	Solve for k	2e^(-k-1)=44	$2 e^{- k - 1} = 44$
179126	Simplify	3i*2i	$3 i \cdot 2 i$
179127	Find the Inverse	(x)=9x+5	$(x) = 9 x + 5$
179128	Solve for x	(3x)/5-2=x+1/3	$\frac{3 x}{5} - 2 = x + \frac{1}{3}$
179129	Solve the Absolute Value Inequality for x	\|2x-3\|<=7	$\| 2 x - 3 \| \leq 7$
179130	Solve for x	(6x)/(x-3)=(4x+6)/(x-3)	$\frac{6 x}{x - 3} = \frac{4 x + 6}{x - 3}$
179131	Solve the Inequality for x	x^2-49>0	$x^{2} - 49 > 0$
179132	Find the Holes in the Graph	f(x)=(x^3+2x^2-8x)/(x^2-2x)	$f (x) = \frac{x^{3} + 2 x^{2} - 8 x}{x^{2} - 2 x}$
179133	Solve for z	A=x-y+z	$A = x - y + z$
179134	Solve the Inequality for x	2x^2+9x-5<0	$2 x^{2} + 9 x - 5 < 0$
179135	Solve for h	v=1/3pir^2(h-1)	$v = \frac{1}{3} π r^{2} (h - 1)$
179136	Solve for x	1/16=644x-3	$\frac{1}{16} = 644 x - 3$
179137	Graph Using a Table of Values	f(x) = square root of -x-2+2	$f (x) = \sqrt{- x - 2} + 2$
179138	Solve the System of Inequalities	-2.5<=(1-3y)/2<=1.5	$- 2.5 \leq \frac{1 - 3 y}{2} \leq 1.5$
179139	Evaluate	(3(4)^(1/2))/2	$\frac{3 {(4)}^{\frac{1}{2}}}{2}$
179140	Solve the Inequality for x	x^3-7x^2+14x-8<0	$x^{3} - 7 x^{2} + 14 x - 8 < 0$
179141	Solve Using the Quadratic Formula	x^2+10x+c	$x^{2} + 10 x + c$
179142	Solve the Inequality for x	7^(3x+4)<49^(2x+1)	$7^{3 x + 4} < 49^{2 x + 1}$
179143	Find the Holes in the Graph	f(x)=(-2x-6)/(x^2+4x+3)	$f (x) = \frac{- 2 x - 6}{x^{2} + 4 x + 3}$
179144	Solve for n	4n+2=10(1/5n-1)	$4 n + 2 = 10 (\frac{1}{5} n - 1)$
179145	Write in Standard Form	-5x-13+7x^2=3x^2	$- 5 x - 13 + 7 x^{2} = 3 x^{2}$
179146	Evaluate	log of 5+ log of 4	$\log (5) + \log (4)$
179147	Solve for R	R=1/(1/R_1+1/R_2)	$R = \frac{1}{\frac{1}{R_{1}} + \frac{1}{R_{2}}}$
179148	Solve for w	6w-33=3(4w-5)	$6 w - 33 = 3 (4 w - 5)$
179149	Evaluate	3/(2(2)^(1/2))	$\frac{3}{2 {(2)}^{\frac{1}{2}}}$
179150	Simplify	(-2/5)^3	${(- \frac{2}{5})}^{3}$
179151	Solve for x	15=8x^2-14x	$15 = 8 x^{2} - 14 x$
179152	Rationalize the Numerator	( square root of x+2- square root of 2)/x	$\frac{\sqrt{x + 2} - \sqrt{2}}{x}$
179153	Solve for x	3 log base 2 of x=x^3-4x^2+4x	$3 \log_{2} (x) = x^{3} - 4 x^{2} + 4 x$
179154	Find the Slope and y-intercept	m=-2	$m = - 2$
179155	Evaluate the Function	f(9) = square root of 9	$f (9) = \sqrt{9}$
179156	Graph	f(x)=(x^2+x-6)/(x^2+x-20)	$f (x) = \frac{x^{2} + x - 6}{x^{2} + x - 20}$
179157	Find the Exact Value	3 square root of 64	$3 \sqrt{64}$
179158	Find the Product	(a+b)(a+b)	$(a + b) (a + b)$
179159	Divide	((x+2)/(x+8))÷((2x)/3)	$\frac{x + 2}{x + 8} \div \frac{2 x}{3}$
179160	Graph	(-8,infinity)	$(- 8, \infty)$
179161	Evaluate	(4+-2)/2	$\frac{4 + - 2}{2}$
179162	Find All Complex Solutions	x^4-20x^2=-64	$x^{4} - 20 x^{2} = - 64$
179163	Simplify	(2i^2)(-3i^2)	$(2 i^{2}) (- 3 i^{2})$
179164	Simplify	(x/(x-7))/(x/(x-7)-7)	$\frac{\frac{x}{x - 7}}{\frac{x}{x - 7} - 7}$
179165	Solve for k	-25>-6k+5	$- 25 > - 6 k + 5$
179166	Solve the Inequality for x	x^3>=6x^2	$x^{3} \geq 6 x^{2}$
179167	Simplify	(-2x^2y)^2*(-3xy^3)	${(- 2 x^{2} y)}^{2} \cdot (- 3 x y^{3})$
179168	Write in Standard Form	x+8=0	$x + 8 = 0$
179169	Solve the System of Inequalities	5x+2>-28 or -13<5x+2	$5 x + 2 > - 28$ or $- 13 < 5 x + 2$
179170	Graph	y=1/2cot(x)	$y = \frac{1}{2} \cot (x)$
179171	Solve for s	s+9>=-25	$s + 9 \geq - 25$
179172	Graph Using a Table of Values	y=(x-1)^2	$y = {(x - 1)}^{2}$
179173	Graph Using a Table of Values	y=2^x-1	$y = 2^{x} - 1$
179174	Find the Roots (Zeros)	f(x)=3x^6+2x^5+x^4-2x^3	$f (x) = 3 x^{6} + 2 x^{5} + x^{4} - 2 x^{3}$
179175	Graph	y=-2^(3x)+2	$y = - 2^{3 x} + 2$
179176	Solve for x	1/3(12x-24)=16	$\frac{1}{3} (12 x - 24) = 16$
179177	Graph	f(x)=-2x if x<0; 2x if x>=0	$f (x) = {\begin{cases} - 2 x & x < 0 \\ 2 x & x \geq 0 \end{cases}$
179178	Solve the System of Equations	y=9x y=2x+56	$y = 9 x$ $y = 2 x + 56$
179179	Find the Domain and Range	y=x+1/x	$y = x + \frac{1}{x}$
179180	Evaluate	sin(arccos(( square root of 2)/2))	$\sin (\arccos (\frac{\sqrt{2}}{2}))$
179181	Solve the Inequality for x	8(1/4x-3)+24<4(x+5)	$8 (\frac{1}{4} x - 3) + 24 < 4 (x + 5)$
179182	Solve the Inequality for x	\|x-2\|>3	$\| x - 2 \| > 3$
179183	Solve for t	8t = square root of 64t^2+9t-19	$8 t = \sqrt{64 t^{2} + 9 t - 19}$
179184	Factor	(x^2-x-12)	$(x^{2} - x - 12)$
179185	Graph	2/9x+3>4 5/9	$\frac{2}{9} x + 3 > 4 \frac{5}{9}$
179186	Solve for x	square root of x-3+ square root of x+1=3/(5-x)	$\sqrt{x - 3} + \sqrt{x + 1} = \frac{3}{5 - x}$
179187	Simplify	(4/(x+1)+2/x)/(2/(x+1))	$\frac{\frac{4}{x + 1} + \frac{2}{x}}{\frac{2}{x + 1}}$
179188	Solve the Inequality for x	7/(x+2)>=1/(x+2)	$\frac{7}{x + 2} \geq \frac{1}{x + 2}$
179189	Simplify	(3^-8)/(3^-4)	$\frac{3^{- 8}}{3^{- 4}}$
179190	Multiply	pi*pi	$π \cdot π$
179191	Find the Exact Value	-\|-2\|	$- \| - 2 \|$
179192	Factor	(x^2-2x-15)	$(x^{2} - 2 x - 15)$
179193	Find the Excluded Values	(x^2-3x-18)/(x^2-7x+6)	$\frac{x^{2} - 3 x - 18}{x^{2} - 7 x + 6}$
179194	Evaluate	pi/2+pi(1)	$\frac{π}{2} + π (1)$
179195	Evaluate	(1+0.05/12)	$(1 + \frac{0.05}{12})$
179196	Simplify the Radical Expression	3 square root of 27	$3 \sqrt{27}$
179197	Find the Sum and Product of the Roots of the Quadratic Equation	3x^2-4x-7=0	$3 x^{2} - 4 x - 7 = 0$
179198	Evaluate	2(4(7+4(5*3-9))-3(40-8))	$2 (4 (7 + 4 (5 \cdot 3 - 9)) - 3 (40 - 8))$
179199	Graph	f(x)=2cos(3x-(5pi)/6)-2	$f (x) = 2 \cos (3 x - \frac{5 π}{6}) - 2$
179200	Simplify	((x^2)^-2)/(xy^-4)*(x^3y)/((y^-3)^2)	$\frac{{(x^{2})}^{- 2}}{x y^{- 4}} \cdot \frac{x^{3} y}{{(y^{- 3})}^{2}}$