Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
174801	Solve for t	h(t)=4t+20	$h (t) = 4 t + 20$
174802	Factor	(p-2)^3-125q^3	${(p - 2)}^{3} - 125 q^{3}$
174803	Simplify	(x^2+x-12)/(x^2-8x+15)*(2x^2-10x)/(5x+20)	$\frac{x^{2} + x - 12}{x^{2} - 8 x + 15} \cdot \frac{2 x^{2} - 10 x}{5 x + 20}$
174804	Solve for x	2x+3(0)=5x-0	$2 x + 3 (0) = 5 x - 0$
174805	Evaluate	5+(16+2)÷3	$5 + (16 + 2) \div 3$
174806	Solve the System of Inequalities	2x+6<=10 or 2x+8>20	$2 x + 6 \leq 10$ or $2 x + 8 > 20$
174807	Find the Expanded Form	(x-0.3)^2+(y-3.2)^2=10-1	${(x - 0.3)}^{2} + {(y - 3.2)}^{2} = 10 - 1$
174808	Find the Product	(2x+y)^3	${(2 x + y)}^{3}$
174809	Find the Holes in the Graph	f(x)=(x^2-25)/(x^2-4x-45)	$f (x) = \frac{x^{2} - 25}{x^{2} - 4 x - 45}$
174810	Solve the Absolute Value Inequality for x	\|x\|-2=5	$\| x \| - 2 = 5$
174811	Solve for b	(4+ square root of -49)-2( square root of (-4)^2+ square root of -324)=a+bi	$(4 + \sqrt{- 49}) - 2 (\sqrt{{(- 4)}^{2}} + \sqrt{- 324}) = a + b i$
174812	Simplify	(1/(3x)-1/(6x^2))/(1-1/(2x))	$\frac{\frac{1}{3 x} - \frac{1}{6 x^{2}}}{1 - \frac{1}{2 x}}$
174813	Solve for x	4^(2x)=(1/2)^(x+5)	$4^{2 x} = {(\frac{1}{2})}^{x + 5}$
174814	Graph	f(x)=-x^2(3x-5)^2	$f (x) = - x^{2} {(3 x - 5)}^{2}$
174815	Find the x and y Intercepts	F(x)=-1/(x+4)	$F (x) = \frac{- 1}{x + 4}$
174816	Solve the Inequality for b	1/3(15b-12)>=21	$\frac{1}{3} (15 b - 12) \geq 21$
174817	Graph	-x^2+4y^2-16y+12=0	$- x^{2} + 4 y^{2} - 16 y + 12 = 0$
174818	Factor	1+m^6	$1 + m^{6}$
174819	Graph	1-(x^2)/6<=(sin(x))/x<=1	$1 - \frac{x^{2}}{6} \leq \frac{\sin (x)}{x} \leq 1$
174820	Solve for x	(5x-2)/2-(19x+6)/(2x)=(3x-2)/4	$\frac{5 x - 2}{2} - \frac{19 x + 6}{2 x} = \frac{3 x - 2}{4}$
174821	Solve for t	R(s+t)=st	$R (s + t) = s t$
174822	Simplify	4x^3y^3 square root of 24x^7y^3	$4 x^{3} y^{3} \sqrt{24 x^{7} y^{3}}$
174823	Solve for θ	square root of 2sin(theta)^2-sin(theta)=0	$\sqrt{2} \sin^{2} (θ) - \sin (θ) = 0$
174824	Simplify	square root of (7^6)/(7^4)	$\sqrt{\frac{7^{6}}{7^{4}}}$
174825	Simplify	(9x^24)/(6(x^3)^2x^2)	$\frac{9 x^{24}}{6 {(x^{3})}^{2} x^{2}}$
174826	Describe the Transformation	f(x)=1/4(x+6)^2	$f (x) = \frac{1}{4} {(x + 6)}^{2}$
174827	Solve for x	3x-3+\|-1+5x\|=46+3x	$3 x - 3 + \| - 1 + 5 x \| = 46 + 3 x$
174828	Solve for x	28/(x^2-9)+x/(3-x)+7/(3+x)=1	$\frac{28}{x^{2} - 9} + \frac{x}{3 - x} + \frac{7}{3 + x} = 1$
174829	Evaluate	-77+9-1/-1	$- 7 \cdot 7 + 9 \cdot \frac{- 1}{- 1}$
174830	Solve for vᵢ	V_f^2=v_i^2+2ad	${V_{f}}^{2} = {v_{i}}^{2} + 2 a d$
174831	Factor	2x^3-6x^2+5xy-15y	$2 x^{3} - 6 x^{2} + 5 x y - 15 y$
174832	Find the Roots (Zeros)	x^2+x=0	$x^{2} + x = 0$
174833	Solve for θ	cos(theta)=5/13	$\cos (θ) = \frac{5}{13}$
174834	Find the Domain and Range	f(x)=- cube root of x-3	$f (x) = - \sqrt[3]{x} - 3$
174835	Solve the System of Equations	1/3x-1/3y=-1/3 -1/7x+1/8y=2/7	$\frac{1}{3} x - \frac{1}{3} y = - \frac{1}{3}$ $- \frac{1}{7} x + \frac{1}{8} y = \frac{2}{7}$
174836	Solve by Graphing	6x-3y=-9 and 2x+2y=-6	$6 x - 3 y = - 9$ and $2 x + 2 y = - 6$
174837	Find the Roots (Zeros)	f(x)=3x^4+x+2	$f (x) = 3 x^{4} + x + 2$
174838	Simplify	-9/(4x^2)+8/(4x^2)	$\frac{- 9}{4 x^{2}} + \frac{8}{4 x^{2}}$
174839	Solve the Inequality for z	-7z-7<=-5z+5	$- 7 z - 7 \leq - 5 z + 5$
174840	Multiply	(a-3)/(15a)*5/(a-3)	$\frac{a - 3}{15 a} \cdot \frac{5}{a - 3}$
174841	Solve for a	(x^(4/3))/(x^(2/3))=x^a	$\frac{x^{\frac{4}{3}}}{x^{\frac{2}{3}}} = x^{a}$
174842	Graph	p(x)=x(x-3)^2(2x+7)	$p (x) = x {(x - 3)}^{2} (2 x + 7)$
174843	Factor	12a^3b+4a-8a^2b	$12 a^{3} b + 4 a - 8 a^{2} b$
174844	Graph	y=((x-A)^2)/((x-B)^2)	$y = \frac{{(x - A)}^{2}}{{(x - B)}^{2}}$
174845	Multiply	-5k^2(k^2-4k)	$- 5 k^{2} (k^{2} - 4 k)$
174846	Graph	4x+8y<=8 3x+y<=9	$4 x + 8 y \leq 8$ $3 x + y \leq 9$
174847	Solve for b	4/5b-3=-1/2(3/5b+4)	$\frac{4}{5} b - 3 = - \frac{1}{2} (\frac{3}{5} b + 4)$
174848	Solve for x	3/x+6=-45	$\frac{3}{x} + 6 = - 45$
174849	Factor	f(x)=x^4-4x^3-21x^2+100x-100	$f (x) = x^{4} - 4 x^{3} - 21 x^{2} + 100 x - 100$
174850	Write in Standard Form	(x+5)(x-9)=21	$(x + 5) (x - 9) = 21$
174851	Solve for t	Q=R+Rst for t	$Q = R + R s t$ for $t$
174852	Solve the Inequality for x	(x-3)/(x-2)<0	$\frac{x - 3}{x - 2} < 0$
174853	Solve for x	2(x+3)-1=7x	$2 (x + 3) - 1 = 7 x$
174854	Solve for X	4+ square root of X+5=10	$4 + \sqrt{X + 5} = 10$
174855	Solve for x	(x-2)/(x+6)=5/x	$\frac{x - 2}{x + 6} = \frac{5}{x}$
174856	Solve the Rational Equation for x	1+(x^2-5x-24)/(3x)=(x-6)/(3x)	$1 + \frac{x^{2} - 5 x - 24}{3 x} = \frac{x - 6}{3 x}$
174857	Simplify	(1/(2x-5)-7/(8x-20))/(x/(2x-5))	$\frac{\frac{1}{2 x - 5} - \frac{7}{8 x - 20}}{\frac{x}{2 x - 5}}$
174858	Evaluate	(3-2i)^2	${(3 - 2 i)}^{2}$
174859	Solve the Absolute Value Inequality for x	\|-6x\|=30	$\| - 6 x \| = 30$
174860	Solve for x	1.2=3^(2x)-3	$1.2 = 3^{2 x} - 3$
174861	Find the Domain and Range	y=(x+5)/(x^2-9)	$y = \frac{x + 5}{x^{2} - 9}$
174862	Solve for w	47=w-(-8)	$47 = w - (- 8)$
174863	Solve for x	3(x+2)-12=5(x+1)	$3 (x + 2) - 12 = 5 (x + 1)$
174864	Simplify	(25-16x^2)/(16x^2+40x+25)	$\frac{25 - 16 x^{2}}{16 x^{2} + 40 x + 25}$
174865	Graph	f(x)=x-x^2	$f (x) = x - x^{2}$
174866	Simplify	(-4(y)^-2)/(3z^-5y^-7)	$\frac{- 4 {(y)}^{- 2}}{3 z^{- 5} y^{- 7}}$
174867	Solve for x	y=x^4	$y = x^{4}$
174868	Solve for t	t-27=-(27-t)	$t - 27 = - (27 - t)$
174869	Solve for x	4/(2x+1)=3/(x-3)	$\frac{4}{2 x + 1} = \frac{3}{x - 3}$
174870	Simplify	13/1825/718/13	$\frac{13}{18} \cdot \frac{25}{7} \cdot \frac{18}{13}$
174871	Solve the Inequality for p	3p+2>=-10	$3 p + 2 \geq - 10$
174872	Write in Standard Form	x^2+x	$x^{2} + x$
174873	Find the Directrix	(x+5)^2=12y	${(x + 5)}^{2} = 12 y$
174874	Solve for w	6/5w=3-3(1/2w+3/2)	$\frac{6}{5} w = 3 - 3 (\frac{1}{2} w + \frac{3}{2})$
174875	Find the Domain and Range	y = cube root of -x-1	$y = \sqrt[3]{- x - 1}$
174876	Solve for x	square root of 7-4x+ square root of 3-2x=1	$\sqrt{7 - 4 x} + \sqrt{3 - 2 x} = 1$
174877	Solve the System of Equations	x-2y-z=6 -x+6y-3z=-18 2x-11y+5z=33	$x - 2 y - z = 6$ $- x + 6 y - 3 z = - 18$ $2 x - 11 y + 5 z = 33$
174878	Simplify	(k^3-k^2j+kj^2-j^3)-(k^3+k^2j+j^3)	$(k^{3} - k^{2} j + k j^{2} - j^{3}) - (k^{3} + k^{2} j + j^{3})$
174879	Divide	(-66+27i)/(-6-3i)	$\frac{- 66 + 27 i}{- 6 - 3 i}$
174880	Solve for b	A=h(a+b)/2	$A = h \frac{(a + b)}{2}$
174881	Simplify	square root of 2/3- square root of 3/2	$\sqrt{\frac{2}{3}} - \sqrt{\frac{3}{2}}$
174882	Graph	f(x)=2 square root of 1-X	$f (x) = 2 \sqrt{1 - X}$
174883	Simplify	(x^2-2x-37)÷(x^2-3x-40)	$(x^{2} - 2 x - 37) \div (x^{2} - 3 x - 40)$
174884	Evaluate	(-1/2*3)^3	${(- \frac{1}{2} \cdot 3)}^{3}$
174885	Graph	y<=x y>=3-x	$y \leq x$ $y \geq 3 - x$
174886	Simplify the Radical Expression	(5^10)/(5^12)	$\frac{5^{10}}{5^{12}}$
174887	Solve for r	T^2=(4pi^2r^3)/(GM)	$T^{2} = \frac{4 π^{2} r^{3}}{G M}$
174888	Graph	f(x)=0.2(x-2)(x+1)(x-5)	$f (x) = 0.2 (x - 2) (x + 1) (x - 5)$
174889	Solve for a	A=1/2h(a+b) for a	$A = \frac{1}{2} h (a + b)$ for $a$
174890	Graph	f(x)=4+x,x<=2; x^2+2,x>2	$f (x) = {\begin{cases} 4 + x, x \leq 2 \\ x^{2} + 2, x > 2 \end{cases}$
174891	Solve for x	(4x^5+8x^3)/(x^3)=42	$\frac{4 x^{5} + 8 x^{3}}{x^{3}} = 42$
174892	Solve for x	1/(x-2)+9=2/(x^2-2x)	$\frac{1}{x - 2} + 9 = \frac{2}{x^{2} - 2 x}$
174893	Graph	y>=-x^2	$y \geq - x^{2}$
174894	Simplify	5/7x+2/7y-2-1/7x+7	$\frac{5}{7} x + \frac{2}{7} y - 2 - \frac{1}{7} x + 7$
174895	Find the Function	f(x)=(11(x-24))/2	$f (x) = \frac{11 (x - 24)}{2}$
174896	Simplify	(2x^5+y^3)^2	${(2 x^{5} + y^{3})}^{2}$
174897	Solve for x	log of x-1- log of x-2 = log of 5	$\log (x - 1) - \log (x - 2) = \log (5)$
174898	Evaluate	3(-x)^2+2(-x)-4	$3 {(- x)}^{2} + 2 (- x) - 4$
174899	Find the Equation Using Point-Slope Formula	(-5,-3) , slope=-3/5	$(- 5, - 3)$ , $s l o p e = - \frac{3}{5}$
174900	Solve for x	(2pi)/x=pi/2	$\frac{2 π}{x} = \frac{π}{2}$