Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
187501	Factor	(4-x^2)	$(4 - x^{2})$
187502	Multiply	5/6(-8/15)	$\frac{5}{6} (- \frac{8}{15})$
187503	Multiply	(7x^2)/3*6/x	$\frac{7 x^{2}}{3} \cdot \frac{6}{x}$
187504	Simplify	(6/5-5/2)/(3/2-5/4)	$\frac{\frac{6}{5} - \frac{5}{2}}{\frac{3}{2} - \frac{5}{4}}$
187505	Factor	cos(x)^3-sin(x)^3	$\cos^{3} (x) - \sin^{3} (x)$
187506	Graph	p(x)=(x-1)(x-4)^2(2x+3)	$p (x) = (x - 1) {(x - 4)}^{2} (2 x + 3)$
187507	Simplify	x(2x+1)(x-3)	$x (2 x + 1) (x - 3)$
187508	Solve for a	5/a=3	$\frac{5}{a} = 3$
187509	Evaluate	17-(2^5)÷4+6	$17 - 2^{5} \div 4 + 6$
187510	Combine Like Terms	(-10x^2+9x)-(-6x+4)	$(- 10 x^{2} + 9 x) - (- 6 x + 4)$
187511	Multiply	(-2x^3)(-5x)(-3x^2)	$(- 2 x^{3}) \cdot (- 5 x) \cdot (- 3 x^{2})$
187512	Solve the Inequality for F	34+23F>=175	$34 + 23 F \geq 175$
187513	Find f(g(x))	f(x)=3x-5 , g(x)=4x^2-5	$f (x) = 3 x - 5$ , $g (x) = 4 x^{2} - 5$
187514	Find the Function	f(x)=7x^2	$f (x) = 7 x^{2}$
187515	Subtract	Subtract -5x^2-9x+8 from -6x^2+5	Subtract $- 5 x^{2} - 9 x + 8$ from $- 6 x^{2} + 5$
187516	Simplify	(x^2y^3)(x^-2y^-2)	$(x^{2} y^{3}) (x^{- 2} y^{- 2})$
187517	Simplify	square root of 2( square root of 8+ square root of 6)	$\sqrt{2} (\sqrt{8} + \sqrt{6})$
187518	Graph	1/2x-2y>-6 ?	$\frac{1}{2} x - 2 y > - 6$ ?
187519	Solve for x	(2x)/(x-4)-(2x-5)/(x^2-10x+24)=-3/(x-6)	$\frac{2 x}{x - 4} - \frac{2 x - 5}{x^{2} - 10 x + 24} = \frac{- 3}{x - 6}$
187520	Find the Exact Value	sin(pi/6)+cos(pi/6)	$\sin (\frac{π}{6}) + \cos (\frac{π}{6})$
187521	Evaluate	6(24÷3)-2	$6 (24 \div 3) - 2$
187522	Graph	f(x)=-3x+2 if x<1; 1 if x>5	$f (x) = {\begin{cases} - 3 x + 2 & x < 1 \\ 1 & x > 5 \end{cases}$
187523	Simplify	9p^3q^4(3p^3-5q)	$9 p^{3} q^{4} (3 p^{3} - 5 q)$
187524	Write in Standard Form	4x^5-16x^2+13x^8	$4 x^{5} - 16 x^{2} + 13 x^{8}$
187525	Solve for x	27^(3x-1)=81^x	$27^{3 x - 1} = 81^{x}$
187526	Divide	( square root of 2)÷2	$\sqrt{2} \div 2$
187527	Solve the System of Equations	2x-3y+z=4 -x+5y-z=-1 5x-4y+2z=11	$2 x - 3 y + z = 4$ $- x + 5 y - z = - 1$ $5 x - 4 y + 2 z = 11$
187528	Find the Inverse	f(x)=2- square root of x	$f (x) = 2 - \sqrt{x}$
187529	Simplify	log base 4 of 32	$\log_{4} (32)$
187530	Evaluate	((-3)^73)÷(-6.9)	${(- 3)}^{73} \div (- 6.9)$
187531	Divide	((4x+1)/(6x))÷(x/(3x-1))	$\frac{4 x + 1}{6 x} \div \frac{x}{3 x - 1}$
187532	Evaluate	4x<-16	$4 x < - 16$
187533	Simplify	square root of 64	square root of $64$
187534	Graph	x^3+x^2-2x	$x^{3} + x^{2} - 2 x$
187535	Find the x and y Intercepts	f(x)=-(x-5)	$f (x) = - (x - 5)$
187536	Find the Fourth Term	-1/7 , 4/7 , -16/7	$- \frac{1}{7}$ , $\frac{4}{7}$ , $- \frac{16}{7}$
187537	Simplify	(a^2b^2+a^2b+ab^2)/(ab)	$\frac{a^{2} b^{2} + a^{2} b + a b^{2}}{a b}$
187538	Graph	y=-1+6cos((2pi)/7(x-5))	$y = - 1 + 6 \cos (\frac{2 π}{7} (x - 5))$
187539	Simplify	(3(2a)3/2)^2	${(3 (2 a) \frac{3}{2})}^{2}$
187540	Find the Domain and Range	y=2x^2+4x	$y = 2 x^{2} + 4 x$
187541	Simplify	(15/x-5)/(3/x-x/3)	$\frac{\frac{15}{x} - 5}{\frac{3}{x} - \frac{x}{3}}$
187542	Simplify	((x^2)/9-1)/((x-6)/9+1/x)	$\frac{\frac{x^{2}}{9} - 1}{\frac{x - 6}{9} + \frac{1}{x}}$
187543	Find the Domain and Range	f(x)=\|4-x\|	$f (x) = \| 4 - x \|$
187544	Find the Distance Between Two Points	(5,0) and (2,-2)	$(5, 0)$ and $(2, - 2)$
187545	Simplify	(p-1)/(63p(p-1))*(21(p+3)(p-1))/(3(p+3))	$\frac{p - 1}{63 p (p - 1)} \cdot \frac{21 (p + 3) (p - 1)}{3 (p + 3)}$
187546	Graph	H(x) = square root of -x-5	$H (x) = \sqrt{- x} - 5$
187547	Solve for x	3(x-4)=2x-(6+x)	$3 (x - 4) = 2 x - (6 + x)$
187548	Solve the Inequality for x	2x-3>x+5	$2 x - 3 > x + 5$
187549	Find the x and y Intercepts	f(x)=(x^2+9x+18)/(3x+4)	$f (x) = \frac{x^{2} + 9 x + 18}{3 x + 4}$
187550	Find the x and y Intercepts	(5x^2)/(2x^2+3x)	$\frac{5 x^{2}}{2 x^{2} + 3 x}$
187551	Find the Roots (Zeros)	f(x)=-7(x+2)(5x-15)	$f (x) = - 7 (x + 2) (5 x - 15)$
187552	Find the Product	(2x-1/2)^2	${(2 x - \frac{1}{2})}^{2}$
187553	Evaluate	square root of (x_2-x_1)^2+(y_2-y_1)^2	$\sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$
187554	Solve for x	2ax-b=cx+d	$2 a x - b = c x + d$
187555	Solve for r	\|r+5\|>20	$\| r + 5 \| > 20$
187556	Complete the Square	-2x=x^2-6	$- 2 x = x^{2} - 6$
187557	Simplify	2/(-2/x)	$\frac{2}{- \frac{2}{x}}$
187558	Solve for w	7w<-42	$7 w < - 42$
187559	Solve for V	V=4/3pi*4^3	$V = \frac{4}{3} π \cdot 4^{3}$
187560	Factor	4x+x^5-5x^3	$4 x + x^{5} - 5 x^{3}$
187561	Find the Excluded Values	(m+7)/(m^2+4m-21)	$\frac{m + 7}{m^{2} + 4 m - 21}$
187562	Solve for x	2x^4-32=0	$2 x^{4} - 32 = 0$
187563	Solve the Inequality for x	-3+5x<7x-5	$- 3 + 5 x < 7 x - 5$
187564	Solve by Factoring	x^2+11x+29=x+4	$x^{2} + 11 x + 29 = x + 4$
187565	Solve for b	3(b+3)-4(-2+b)=19	$3 (b + 3) - 4 (- 2 + b) = 19$
187566	Convert to Base 10	1_(2)	$1_{2}$
187567	Solve for n	5^(3n-2)=125	$5^{3 n - 2} = 125$
187568	Evaluate	4sin(pi/3)cos(pi/3)	$4 \sin (\frac{π}{3}) \cos (\frac{π}{3})$
187569	Solve for a	(x^(4/3))^(3/2)=x^a	${(x^{\frac{4}{3}})}^{\frac{3}{2}} = x^{a}$
187570	Evaluate	(x^2+1)^3	${(x^{2} + 1)}^{3}$
187571	Simplify	(3x^2y^4z^-3)^5	${(3 x^{2} y^{4} z^{- 3})}^{5}$
187572	Graph	(x^2+y^2-1)^3=x^2y^3	${(x^{2} + y^{2} - 1)}^{3} = x^{2} y^{3}$
187573	Write the Fraction in Simplest Form	(12 square root of x)/(4x^3)	$\frac{12 \sqrt{x}}{4 x^{3}}$
187574	Simplify	((x-8)/15+1/x)/((x^2)/25-x/5)	$\frac{\frac{x - 8}{15} + \frac{1}{x}}{\frac{x^{2}}{25} - \frac{x}{5}}$
187575	Evaluate	2(2/5)^2	$2 {(\frac{2}{5})}^{2}$
187576	Find the x and y Intercepts	y = square root of x^2-9	$y = \sqrt{x^{2} - 9}$
187577	Convert to a Decimal	55deg	$55$ degrees
187578	Simplify	(12x^2y)^0	${(12 x^{2} y)}^{0}$
187579	Solve for p	(p+2)/(p+7)=3/6	$\frac{p + 2}{p + 7} = \frac{3}{6}$
187580	Find the x and y Intercepts	f(x)=-x(x+3)(x+2)(4x+2)^2	$f (x) = - x (x + 3) (x + 2) {(4 x + 2)}^{2}$
187581	Find the Domain and Range	f(x)=3+1/x	$f (x) = 3 + \frac{1}{x}$
187582	Simplify	(4m-5)-(6m-7+2n)	$(4 m - 5) - (6 m - 7 + 2 n)$
187583	Find h(g(x))	g(x)=3x-5 h(x)=2/(2x+3)	$g (x) = 3 x - 5$ $h (x) = \frac{2}{2 x + 3}$
187584	Solve for r	(5r)/(r+1)=4-5/(r+1)	$\frac{5 r}{r + 1} = 4 - \frac{5}{r + 1}$
187585	Divide	(x^4-y^4)/(x-y)	$\frac{x^{4} - y^{4}}{x - y}$
187586	Solve the Rational Equation for x	3/(x-1)=4/(x+2)	$\frac{3}{x - 1} = \frac{4}{x + 2}$
187587	Find the Distance Between Two Points	(-3,0) and (3,7)	$(- 3, 0)$ and $(3, 7)$
187588	Graph Using a Table of Values	y=3(4)^x	$y = 3 {(4)}^{x}$
187589	Simplify	-5/(-5i)	$\frac{- 5}{- 5 i}$
187590	Identify the Zeros and Their Multiplicities	p(x)=x^3+3x^2-4	$p (x) = x^{3} + 3 x^{2} - 4$
187591	Factor	(x^2+3x-4)/(x^2+4x-5)	$\frac{x^{2} + 3 x - 4}{x^{2} + 4 x - 5}$
187592	Simplify	(4x^3-2x^2+8x+8)÷(2x+1)	$(4 x^{3} - 2 x^{2} + 8 x + 8) \div (2 x + 1)$
187593	Write in Slope-Intercept Form	(-6,-5) and (-4,-4)	$(- 6, - 5)$ and $(- 4, - 4)$
187594	Graph	-9<=y+5x<=14	$- 9 \leq y + 5 x \leq 14$
187595	Solve the System of Equations	x+y+z=7 x-2y+4z=11 3y+4z=17	$x + y + z = 7$ $x - 2 y + 4 z = 11$ $3 y + 4 z = 17$
187596	Find f(h(x))	f(x)=2x^3+8 h(x) = cube root of 12-5x	$f (x) = 2 x^{3} + 8$ $h (x) = \sqrt[3]{12 - 5 x}$
187597	Find the Zeros Using Descartes' Rule of Signs	f(x)=-x^4-4x^3-5x^2+2x+8	$f (x) = - x^{4} - 4 x^{3} - 5 x^{2} + 2 x + 8$
187598	Graph	p(x)=(2x^2-9x+7)(x-2)	$p (x) = (2 x^{2} - 9 x + 7) (x - 2)$
187599	Solve for x	1/x+2/(3x)-3=3	$\frac{1}{x} + \frac{2}{3 x} - 3 = 3$
187600	Evaluate	1/(e^-1)	$\frac{1}{e^{- 1}}$