Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
170201	Find the First Term	2n^2	$2 n^{2}$
170202	Expand the Logarithmic Expression	log of ( cube root of x^2)/((x+8)^5)	$\log (\frac{\sqrt[3]{x^{2}}}{{(x + 8)}^{5}})$
170203	Solve the Inequality for x	(4x+2)/5<=2	$\frac{4 x + 2}{5} \leq 2$
170204	Graph	x-y<0	$x - y < 0$
170205	Graph	h(x)=2f(x)	$h (x) = 2 f (x)$
170206	Write in Standard Form	2x^2+3x+7=x	$2 x^{2} + 3 x + 7 = x$
170207	Evaluate	-5.8c+4.2-3.1+1.4c	$- 5.8 c + 4.2 - 3.1 + 1.4 c$
170208	Graph	f(x)=-\|x\|+3 if x<=-2; 4x+1 if x>-2	$f (x) = {\begin{cases} - \| x \| + 3 & x \leq - 2 \\ 4 x + 1 & x > - 2 \end{cases}$
170209	Write in Exponential Form	log base (x+4) of x^2+3x-7=3	$\log_{(x + 4)} (x^{2} + 3 x - 7) = 3$
170210	Find the First Term	a_n=4(5)^(n-1)	$a_{n} = 4 {(5)}^{n - 1}$
170211	Solve the Inequality for y	-12<y-6	$- 12 < y - 6$
170212	Simplify	(-15w^2+37w-8)/(-5w+7)+(6w+6)/(5w-7)	$\frac{- 15 w^{2} + 37 w - 8}{- 5 w + 7} + \frac{6 w + 6}{5 w - 7}$
170213	Find the Product	7x^3(5x^2+3x+1)	$7 x^{3} (5 x^{2} + 3 x + 1)$
170214	Solve for m	(3m)/4-m/12=7/8	$\frac{3 m}{4} - \frac{m}{12} = \frac{7}{8}$
170215	Solve the Inequality for x	x-3(x+2)>4	$x - 3 (x + 2) > 4$
170216	Find the Exact Value	sin(45 degrees )^2	$\sin^{2} (45 °)$
170217	Evaluate	25+((16-3*5)+(12+3)/5)	$25 + ((16 - 3 \cdot 5) + \frac{12 + 3}{5})$
170218	Solve Using the Quadratic Formula	2/t-(3t)/2=7	$\frac{2}{t} - \frac{3 t}{2} = 7$
170219	Graph Using a Table of Values	y=10^x	$y = 10^{x}$
170220	Solve for u	square root of u+1 = square root of u+21	$\sqrt{u} + 1 = \sqrt{u + 21}$
170221	Simplify	(1/4x-2/5)+(1/10x-3/5)	$(\frac{1}{4} x - \frac{2}{5}) + (\frac{1}{10} x - \frac{3}{5})$
170222	Find the LCD	(7x)/(2x^2-13x+6) and 3/(2x^2-5x+2)	$\frac{7 x}{2 x^{2} - 13 x + 6}$ and $\frac{3}{2 x^{2} - 5 x + 2}$
170223	Find the Slope and y-intercept	y-4=0	$y - 4 = 0$
170224	Solve for x	x+10=x^2+x+1	$x + 10 = x^{2} + x + 1$
170225	Simplify the Radical Expression	fourth root of -16	$\sqrt[4]{- 16}$
170226	Simplify	5xy(6x-y)	$5 x y (6 x - y)$
170227	Find the LCD	(9x)/(2x^2-7x+5) and 5/(2x^2-9x+10)	$\frac{9 x}{2 x^{2} - 7 x + 5}$ and $\frac{5}{2 x^{2} - 9 x + 10}$
170228	Write in Exponential Form	( fifth root of y)^4	${(\sqrt[5]{y})}^{4}$
170229	Solve for x	10(x+1)=5(2x+2)	$10 (x + 1) = 5 (2 x + 2)$
170230	Graph	(x+3)	$(x + 3)$
170231	Factor	5ax^2-5bx^2+5cx^2	$5 a x^{2} - 5 b x^{2} + 5 c x^{2}$
170232	Simplify	csc(x)(cos(x)+sin(x))	$\csc (x) (\cos (x) + \sin (x))$
170233	Find the Exact Value	1/4+1/4	$\frac{1}{4} + \frac{1}{4}$
170234	Find the x and y Intercepts	f(x)=(-5x^2+20)/(3x^2-6x)	$f (x) = \frac{- 5 x^{2} + 20}{3 x^{2} - 6 x}$
170235	Simplify	(3x^5y^-2z)^3	${(3 x^{5} y^{- 2} z)}^{3}$
170236	Find All Complex Solutions	2sin(theta)+4=5	$2 \sin (θ) + 4 = 5$
170237	Write in Standard Form	y=(x-2)^2	$y = {(x - 2)}^{2}$
170238	Write in Slope-Intercept Form	(-6,4) , (-5,-10)	$(- 6, 4)$ , $(- 5, - 10)$
170239	Find the Holes in the Graph	f(x)=(x^2-3x)/(2x^2-3x-9)	$f (x) = \frac{x^{2} - 3 x}{2 x^{2} - 3 x - 9}$
170240	Factor	m(2a+b)+p(2a+b)	$m (2 a + b) + p (2 a + b)$
170241	Solve for y	x-3/2y=-12	$x - \frac{3}{2} y = - 12$
170242	Convert to a Decimal	200deg	$200$ degrees
170243	Write in Standard Form	(x-7)^2+(x+8)^2=9	${(x - 7)}^{2} + {(x + 8)}^{2} = 9$
170244	Solve by Completing the Square	6x+55=x^2	$6 x + 55 = x^{2}$
170245	Find the Function	f(x)=g(x)	$f (x) = g (x)$
170246	Solve for k	x^2+6x+k=0	$x^{2} + 6 x + k = 0$
170247	Graph	3(2-f)<=15	$3 (2 - f) \leq 15$
170248	Rationalize the Denominator	3/( square root of 17- square root of 2)	$\frac{3}{\sqrt{17} - \sqrt{2}}$
170249	Solve for x	(3x+2)/(x-2)+1/x=-2/(x^2-2x)	$\frac{3 x + 2}{x - 2} + \frac{1}{x} = \frac{- 2}{x^{2} - 2 x}$
170250	Solve the Inequality for x	-50<-5x-5<-25	$- 50 < - 5 x - 5 < - 25$
170251	Solve for x	2(x-8)-3(x-4)=6	$2 (x - 8) - 3 (x - 4) = 6$
170252	Solve the System of Inequalities	-7x-50<=-1 and -6x+70>-2	$- 7 x - 50 \leq - 1$ and $- 6 x + 70 > - 2$
170253	Solve for q	square root of q+2+1 = square root of 3q+7	$\sqrt{q + 2} + 1 = \sqrt{3 q + 7}$
170254	Simplify	(x+y+z)^3	${(x + y + z)}^{3}$
170255	Find the Domain and Range	f(x)=pi	$f (x) = π$
170256	Evaluate	-3+4/5e=-2+3/2e+1/10e	$- 3 + \frac{4}{5} e = - 2 + \frac{3}{2} e + \frac{1}{10} e$
170257	Simplify	8÷2(1+3)	$8 \div 2 (1 + 3)$
170258	Solve the Inequality for x	3(x+6)-2(x+2)>=10	$3 (x + 6) - 2 (x + 2) \geq 10$
170259	Find the Quotient	(x^5+x^3-x^2)÷(x-4)	$(x^{5} + x^{3} - x^{2}) \div (x - 4)$
170260	Solve for z	-1/12z+1/2=1/3	$- \frac{1}{12} z + \frac{1}{2} = \frac{1}{3}$
170261	Divide	(27m^4n^6-15m^3n^6+3mn^2)/(3mn^2)	$\frac{27 m^{4} n^{6} - 15 m^{3} n^{6} + 3 m n^{2}}{3 m n^{2}}$
170262	Divide	(x^4-2x^3-11x^2+30x-20) entre (x^2+3x-2)	$(x^{4} - 2 x^{3} - 11 x^{2} + 30 x - 20)$ entre $(x^{2} + 3 x - 2)$
170263	Solve for p	-3\|p\|=12	$- 3 \| p \| = 12$
170264	Simplify	(-7n^2+8n-4)-(-11n+2-14n^2)	$(- 7 n^{2} + 8 n - 4) - (- 11 n + 2 - 14 n^{2})$
170265	Solve for x	((x+3)(x-2))/((x+2)(x-1))>=0	$\frac{(x + 3) (x - 2)}{(x + 2) (x - 1)} \geq 0$
170266	Find the Holes in the Graph	f(x)=(3x^2-48x+180)/(x^2-4x-12)	$f (x) = \frac{3 x^{2} - 48 x + 180}{x^{2} - 4 x - 12}$
170267	Solve for t	6t+4<=-2	$6 t + 4 \leq - 2$
170268	Simplify	-2*(16÷((8-4)^2))^2	$- 2 \cdot {(16 \div {(8 - 4)}^{2})}^{2}$
170269	Graph	y>=1/2x-2 y>-2x+4	$y \geq \frac{1}{2} x - 2$ $y > - 2 x + 4$
170270	Graph	f(x)\|x\|	$f (x) \| x \|$
170271	Simplify	3(5x+9-4x)	$3 (5 x + 9 - 4 x)$
170272	Combine Like Terms	-4x^3-6y^3+y^3-3+x^3+x^3+4y^3	$- 4 x^{3} - 6 y^{3} + y^{3} - 3 + x^{3} + x^{3} + 4 y^{3}$
170273	Factor	9(x+1)-3(x+1)^2	$9 (x + 1) - 3 {(x + 1)}^{2}$
170274	Find the Quotient	(x^4-x^3+x^2-x+2)/(x-3)	$\frac{x^{4} - x^{3} + x^{2} - x + 2}{x - 3}$
170275	Find the Inverse	P(m)=m/4+7	$P (m) = \frac{m}{4} + 7$
170276	Solve for b	-1/2=1/3b+1/4	$- \frac{1}{2} = \frac{1}{3} b + \frac{1}{4}$
170277	Solve for x	d=nzx ; for x	$d = n z x$ ; for $x$
170278	Solve for k	k=1/2mv^2	$k = \frac{1}{2} m v^{2}$
170279	Evaluate	(x^2+4)^2	${(x^{2} + 4)}^{2}$
170280	Solve the Rational Equation for x	4/x+1/(3x)=9	$\frac{4}{x} + \frac{1}{3 x} = 9$
170281	Solve the System of Equations	6x-7y=37 x+14y=-9	$6 x - 7 y = 37$ $x + 14 y = - 9$
170282	Simplify	(-12h^-4)/((4h^-5)^4)	$\frac{- 12 h^{- 4}}{{(4 h^{- 5})}^{4}}$
170283	Simplify	(x^-6)/(x^3y^8y^2)	$\frac{x^{- 6}}{x^{3} y^{8} y^{2}}$
170284	Simplify	((2x^3)(3x^2))/((x^2)^3)	$\frac{(2 x^{3}) (3 x^{2})}{{(x^{2})}^{3}}$
170285	Solve for y	x=5/9(y-32)	$x = \frac{5}{9} (y - 32)$
170286	Graph	y<=2x+2 y>=-5x+4	$y \leq 2 x + 2$ $y \geq - 5 x + 4$
170287	Simplify	(3x^2)/(x-3)-(x^2)/(x-3)	$\frac{3 x^{2}}{x - 3} - \frac{x^{2}}{x - 3}$
170288	Simplify	(2q^-9b)/(5(q^-5b^-4)^2)	$\frac{2 q^{- 9} b}{5 {(q^{- 5} b^{- 4})}^{2}}$
170289	Find the End Behavior	F(x)=4x^4-6x^3+3x	$F (x) = 4 x^{4} - 6 x^{3} + 3 x$
170290	Factor by Grouping	mz-5mh^2-5nz+25nh^2	$m z - 5 m h^{2} - 5 n z + 25 n h^{2}$
170291	Convert to a Decimal	sin(120)deg	$\sin (120)$ degrees
170292	Simplify	(xy)/(3x^2y-3xy^2)	$\frac{x y}{3 x^{2} y - 3 x y^{2}}$
170293	Simplify	((4g^3h^2k^4)^3)/(8g^3h^2)-(h^5k^3)^5	$\frac{{(4 g^{3} h^{2} k^{4})}^{3}}{8 g^{3} h^{2}} - {(h^{5} k^{3})}^{5}$
170294	Simplify/Condense	5 log of x+ log of 20- log of 10	$5 \log (x) + \log (20) - \log (10)$
170295	Simplify	( square root of 63mn)/( square root of 252mn^3)	$\frac{\sqrt{63 m n}}{\sqrt{252 m n^{3}}}$
170296	Solve for x	\|2x-3\|=x	$\| 2 x - 3 \| = x$
170297	Solve for C	35+12C>=100	$35 + 12 C \geq 100$
170298	Evaluate	2(5^2+(36÷6))	$2 (5^{2} + (36 \div 6))$
170299	Write in Standard Form	y=(x+1)^2	$y = {(x + 1)}^{2}$
170300	Convert to a Simplified Fraction	2/4	$\frac{2}{4}$