Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
10001	Solve for x	4(5^x)=5	$4 (5^{x}) = 5$
10002	Solve for x	25^x-12*5^x+11=0	$25^{x} - 12 \cdot 5^{x} + 11 = 0$
10003	Solve for x	4x^2+4x-35=0	$4 x^{2} + 4 x - 35 = 0$
10004	Solve for x	4x^4+3x^2-1=0	$4 x^{4} + 3 x^{2} - 1 = 0$
10005	Solve for x	x+1=72/x	$x + 1 = \frac{72}{x}$
10006	Graph	(x^2)/8+(y^2)/12=1	$\frac{x^{2}}{8} + \frac{y^{2}}{12} = 1$
10007	Solve for x	x=10cos(30)	$x = 10 \cos (30)$
10008	Solve for x	x=200e^(-0.3*6.56)+25	$x = 200 e^{- 0.3 \cdot 6.56} + 25$
10009	Solve for x	x=20sin(300)	$x = 20 \sin (300)$
10010	Solve for x	x=-(2y-2)/(y-1)	$x = - \frac{2 y - 2}{y - 1}$
10011	Solve for x	x=119000/(1+5400e^-4)	$x = \frac{119000}{1 + 5400 e^{- 4}}$
10012	Solve for x	x(x-2)=4	$x (x - 2) = 4$
10013	Solve for x	x(4x-33)=-8	$x (4 x - 33) = - 8$
10014	Solve for x	x+2(7-2x)=2	$x + 2 (7 - 2 x) = 2$
10015	Solve for x	sin(x+pi/2)-cos(x+(3pi)/2)=0	$\sin (x + \frac{π}{2}) - \cos (x + \frac{3 π}{2}) = 0$
10016	Solve for x	tan(x/4)=( square root of 3)/3	$\tan (\frac{x}{4}) = \frac{\sqrt{3}}{3}$
10017	Solve for X	tan(46.6075)=63/X	$\tan (46.6075) = \frac{63}{X}$
10018	Solve for x	tan(x)=-2/( square root of 5)	$\tan (x) = - \frac{2}{\sqrt{5}}$
10019	Expand the Logarithmic Expression	log base 7 of 343x	$\log_{7} (343 x)$
10020	Solve for x	f(-x)=(4x^2-1)/(x^2)	$f (- x) = \frac{4 x^{2} - 1}{x^{2}}$
10021	Solve for x	fourth root of x=3	$\sqrt[4]{x} = 3$
10022	Solve for x	M=-500x-(400x-400*(x-1)/2)	$M = - 500 x - (400 x - 400 \cdot \frac{x - 1}{2})$
10023	Solve for x	sin(3x)+sin(6x)=0	$\sin (3 x) + \sin (6 x) = 0$
10024	Solve for x	x=1/4y^2	$x = \frac{1}{4} y^{2}$
10025	Solve for x	y=e^(x-2)	$y = e^{x - 2}$
10026	Solve for x	y=(\|x\|)/( square root of c-x^2)	$y = \frac{\| x \|}{\sqrt{c - x^{2}}}$
10027	Solve for x	y=\|3(x-2)^2-3\|	$y = \| 3 {(x - 2)}^{2} - 3 \|$
10028	Solve for x	x=9 square root of x	$x = 9 \sqrt{x}$
10029	Solve for x	x=36(1/3)^6	$x = 36 {(\frac{1}{3})}^{6}$
10030	Solve for x	y=k(x^4-2Lx^3+L^3x)	$y = k (x^{4} - 2 L x^{3} + L^{3} x)$
10031	Solve for y	\|y-31\|-\|y-39\|=0	$\| y - 31 \| - \| y - 39 \| = 0$
10032	Solve for y	1/x+1/y=1	$\frac{1}{x} + \frac{1}{y} = 1$
10033	Solve for x	y=k(x^4+14Lx^3-15L^3x)	$y = k (x^{4} + 14 L x^{3} - 15 L^{3} x)$
10034	Solve for x	y=k(x^4+4Lx^3-5L^3x)	$y = k (x^{4} + 4 L x^{3} - 5 L^{3} x)$
10035	Solve for y	15^(-7y)=2	$15^{- 7 y} = 2$
10036	Solve for y	8^(y-3)=11	$8^{y - 3} = 11$
10037	Solve for ?	sec(theta)tan(theta)-cos(theta)cot(theta)=sin(theta)	$\sec (θ) \tan (θ) - \cos (θ) \cot (θ) = \sin (θ)$
10038	Solve for x	y=x-1000-0.15(x-1000)	$y = x - 1000 - 0.15 (x - 1000)$
10039	Solve for y	(y-5)(y+8)=0	$(y - 5) (y + 8) = 0$
10040	Simplify	(25a^2b^4)^(1/2)	${(25 a^{2} b^{4})}^{\frac{1}{2}}$
10041	Simplify	(27a^3b^9)^(1/3)	${(27 a^{3} b^{9})}^{\frac{1}{3}}$
10042	Simplify	(27x^-6y^9)^(2/3)	${(27 x^{- 6} y^{9})}^{\frac{2}{3}}$
10043	Simplify	(2sin(x)(cos(x)))/(sin(x))	$\frac{2 \sin (x) (\cos (x))}{\sin (x)}$
10044	Simplify	(2x^(1/2)yz^2)^3	${(2 x^{\frac{1}{2}} y z^{2})}^{3}$
10045	Simplify	(2x^2y^3)^3(3x^3y)^-2	${(2 x^{2} y^{3})}^{3} {(3 x^{3} y)}^{- 2}$
10046	Simplify	(-2x^-1)^-3	${(- 2 x^{- 1})}^{- 3}$
10047	Simplify	(2x^4y^-2)^-2	${(2 x^{4} y^{- 2})}^{- 2}$
10048	Simplify	(2x^5)^0	${(2 x^{5})}^{0}$
10049	Simplify	(2-3i)^-1	${(2 - 3 i)}^{- 1}$
10050	Simplify	(2x-3)^2-20	${(2 x - 3)}^{2} - 20$
10051	Simplify	-(2x-7)^2-3	$- {(2 x - 7)}^{2} - 3$
10052	Simplify	(2x-y)^5	${(2 x - y)}^{5}$
10053	Simplify	(3a^-1b^2)^3((a^2)/b)^(1/2)	${(3 a^{- 1} b^{2})}^{3} {(\frac{a^{2}}{b})}^{\frac{1}{2}}$
10054	Simplify	(3m^2n^4)^3	${(3 m^{2} n^{4})}^{3}$
10055	Simplify	(3y^3)^4(4y^2)^-3	${(3 y^{3})}^{4} {(4 y^{2})}^{- 3}$
10056	Simplify	((3y^3)(2y^2)^2)/((y^3)^4)*y^0	$\frac{(3 y^{3}) {(2 y^{2})}^{2}}{{(y^{3})}^{4}} \cdot y^{0}$
10057	Simplify	(3x^3y^-4)^3	${(3 x^{3} y^{- 4})}^{3}$
10058	Simplify	(1+cos(x)tan(x)csc(x))/(csc(x))	$\frac{1 + \cos (x) \tan (x) \csc (x)}{\csc (x)}$
10059	Simplify	(25y^8)/(10y^4)	$\frac{25 y^{8}}{10 y^{4}}$
10060	Simplify	(1+i)^12	${(1 + i)}^{12}$
10061	Simplify	(x^-5y^(1/4))^(-4/5)	${(x^{- 5} y^{\frac{1}{4}})}^{- \frac{4}{5}}$
10062	Simplify	(y/(5x^-2))^-3	${(\frac{y}{5 x^{- 2}})}^{- 3}$
10063	Simplify	(x^3-1)^-2	${(x^{3} - 1)}^{- 2}$
10064	Simplify	(1-2i)^-1	${(1 - 2 i)}^{- 1}$
10065	Simplify	(-125x^18y^24)^(-2/3)	${(- 125 x^{18} y^{24})}^{\frac{- 2}{3}}$
10066	Simplify	(125a^3b^9)^(1/3)	${(125 a^{3} b^{9})}^{\frac{1}{3}}$
10067	Simplify	(12x-1)^(1/3)(2)(x^2-1)(4x)+(x^2-1)^2(1/4)(12x-1)^(-2/3)(32)	${(12 x - 1)}^{\frac{1}{3}} (2) (x^{2} - 1) (4 x) + {(x^{2} - 1)}^{2} (\frac{1}{4}) {(12 x - 1)}^{- \frac{2}{3}} (32)$
10068	Simplify	(2u^2v^3)^3(3u^3v)^-2	${(2 u^{2} v^{3})}^{3} {(3 u^{3} v)}^{- 2}$
10069	Simplify	(2a^2b^-3)^2	${(2 a^{2} b^{- 3})}^{2}$
10070	Simplify	(2a^2b^-3)^-3	${(2 a^{2} b^{- 3})}^{- 3}$
10071	Simplify	(2a^-2+a)^-2	${(2 a^{- 2} + a)}^{- 2}$
10072	Simplify	(2r^-1)^4(4r^2)^-2	${(2 r^{- 1})}^{4} {(4 r^{2})}^{- 2}$
10073	Simplify	(2a^3a^5)^4	${(2 a^{3} a^{5})}^{4}$
10074	Simplify	(1-i)^5	${(1 - i)}^{5}$
10075	Simplify	(u^-3)^2	${(u^{- 3})}^{2}$
10076	Simplify	(s^-2t^2)^2(s^2t)^3	${(s^{- 2} t^{2})}^{2} {(s^{2} t)}^{3}$
10077	Simplify	(u^5v^9)^(-1/3)	${(u^{5} v^{9})}^{- \frac{1}{3}}$
10078	Simplify	(m^2)^-1	${(m^{2})}^{- 1}$
10079	Simplify	(pi/4)/2	$\frac{\frac{π}{4}}{2}$
10080	Simplify	(x-(4-2i))(x-(4+2i))	$(x - (4 - 2 i)) (x - (4 + 2 i))$
10081	Simplify	(-ab^3)^5(-27ab^-3b^9)^2	${(- a b^{3})}^{5} {(- 27 a b^{- 3} b^{9})}^{2}$
10082	Simplify	(c^2d^3)^(-1/3)	${(c^{2} d^{3})}^{- \frac{1}{3}}$
10083	Simplify	(x^2-2)^3	${(x^{2} - 2)}^{3}$
10084	Simplify	(x^2-9)^2-9	${(x^{2} - 9)}^{2} - 9$
10085	Simplify	(x^2+9x+20)/(x^2+11x+30)*(x^2+4x)/(x^2+10x+28)	$\frac{x^{2} + 9 x + 20}{x^{2} + 11 x + 30} \cdot \frac{x^{2} + 4 x}{x^{2} + 10 x + 28}$
10086	Simplify	(x^2y^4)^(1/2)	${(x^{2} y^{4})}^{\frac{1}{2}}$
10087	Simplify	(m^-3n^9)^-4	${(m^{- 3} n^{9})}^{- 4}$
10088	Graph	r=4cos(3theta)	$r = 4 \cos (3 θ)$
10089	Simplify	((2a^-1b)/(a^3b^-4))^-3	${(\frac{2 a^{- 1} b}{a^{3} b^{- 4}})}^{- 3}$
10090	Simplify	((2x^-3y^2)/(xy^3z^0))^-2	${(\frac{2 x^{- 3} y^{2}}{x y^{3} z^{0}})}^{- 2}$
10091	Simplify	((12x^-5y^-3z^4)/(3xy^-3z^-4))^-1	${(\frac{12 x^{- 5} y^{- 3} z^{4}}{3 x y^{- 3} z^{- 4}})}^{- 1}$
10092	Simplify	(a^12)^(4/3)	${(a^{12})}^{\frac{4}{3}}$
10093	Simplify	((-8x^3)/(y^-6))^(2/3)	${(\frac{- 8 x^{3}}{y^{- 6}})}^{\frac{2}{3}}$
10094	Simplify	((9x^3y)/(y^-3))^(1/2)	${(\frac{9 x^{3} y}{y^{- 3}})}^{\frac{1}{2}}$
10095	Simplify	((6x^-1y^4)/(3xy))^-2	${(\frac{6 x^{- 1} y^{4}}{3 x y})}^{- 2}$
10096	Simplify	(6/(y^2))^0	${(\frac{6}{y^{2}})}^{0}$
10097	Simplify	((7x^7)/(4x^2))^2	${(\frac{7 x^{7}}{4 x^{2}})}^{2}$
10098	Simplify	((3x^-2y^-1)/(2x^2))^-2	${(\frac{3 x^{- 2} y^{- 1}}{2 x^{2}})}^{- 2}$
10099	Simplify	(3^x)^2	${(3^{x})}^{2}$
10100	Simplify	((-4a^14b^8)/(12a^17b^-2))^3	${(\frac{- 4 a^{14} b^{8}}{12 a^{17} b^{- 2}})}^{3}$