Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213001	Simplify	(3z)/(5z-25)-(z+1)/(2z-10)	$\frac{3 z}{5 z - 25} - \frac{z + 1}{2 z - 10}$
213002	Evaluate	2^3(3*5^2+2^2)	$2^{3} (3 \times 5^{2} + 2^{2})$
213003	Find All Complex Solutions	20y^2-20y-5=y	$20 y^{2} - 20 y - 5 = y$
213004	Multiply	(-a+y)(-1-y)	$(- a + y) (- 1 - y)$
213005	Graph	y=cos(3x+2pi)-2	$y = \cos (3 x + 2 π) - 2$
213006	Evaluate	square root of 3*( square root of 3)/2	$\sqrt{3} \cdot \frac{\sqrt{3}}{2}$
213007	Find the x and y Intercepts	y=6x-1/x-5	$y = 6 x - \frac{1}{x} - 5$
213008	Solve for x	1-1/(1-x)=2/(x^2-1)	$1 - \frac{1}{1 - x} = \frac{2}{x^{2} - 1}$
213009	Simplify	8 square root of 64- square root of 96	$8 \sqrt{64} - \sqrt{96}$
213010	Convert to a Decimal	-3rad	$- 3$ radians
213011	Simplify the Radical Expression	(4x^2)/(2x^(1/2))	$\frac{4 x^{2}}{2 x^{\frac{1}{2}}}$
213012	Find All Complex Solutions	v^2+4v+9=-2v	$v^{2} + 4 v + 9 = - 2 v$
213013	Evaluate	41-(5+(12-8)2)+63	$41 - (5 + (12 - 8) \cdot 2) + 6 \cdot 3$
213014	Solve for x	6x-4+2(5x+2)=16x	$6 x - 4 + 2 (5 x + 2) = 16 x$
213015	Find the Exact Value	sin(1/(2/(7pi)))	$\sin (\frac{1}{\frac{2}{7 π}})$
213016	Simplify	(3t)/(2-x)+5/(x-2)	$\frac{3 t}{2 - x} + \frac{5}{x - 2}$
213017	Evaluate	(pi/2)/(1/2)	$\frac{\frac{π}{2}}{\frac{1}{2}}$
213018	Simplify	2/(x-2)+x/(x^2-x-6)	$\frac{2}{x - 2} + \frac{x}{x^{2} - x - 6}$
213019	Simplify	square root of 3( square root of 6+ square root of 8)	$\sqrt{3} (\sqrt{6} + \sqrt{8})$
213020	Evaluate	5% of 20	$5 %$ of $20$
213021	Find the Exact Value	cot(495 degrees )	$\cot (495 °)$
213022	Simplify	(-3m^2+m)+(4m^2+6m)	$(- 3 m^{2} + m) + (4 m^{2} + 6 m)$
213023	Simplify	(3-12x)/(-20x+5)	$\frac{3 - 12 x}{- 20 x + 5}$
213024	Evaluate	(csc(pi/6)+sec((5pi)/3))/(2sin(pi))	$\frac{\csc (\frac{π}{6}) + \sec (\frac{5 π}{3})}{2 \sin (π)}$
213025	Solve for x	5(x+20)=7x+307x+30	$5 (x + 20) = 7 x + 307 x + 30$
213026	Simplify	343^(2/3)*32^(2/5)	$343^{\frac{2}{3}} \cdot 32^{\frac{2}{5}}$
213027	Simplify	sin(theta)csc(theta)+cos(theta)sec(theta)	$\sin (θ) \csc (θ) + \cos (θ) \sec (θ)$
213028	Write Using Positive Exponents	(a^-3)/(b^-5)	$\frac{a^{- 3}}{b^{- 5}}$
213029	Find the GCF	(6x^2+4x)+(4x^2-8x)	$(6 x^{2} + 4 x) + (4 x^{2} - 8 x)$
213030	Simplify the Radical Expression	square root of (r^4g^6p^2)^3	$\sqrt{{(r^{4} g^{6} p^{2})}^{3}}$
213031	Simplify	square root of 324- square root of 400+2 square root of 25	$\sqrt{324} - \sqrt{400} + 2 \sqrt{25}$
213032	Graph	3x+4y>12 y>2x-1	$3 x + 4 y > 12$ $y > 2 x - 1$
213033	Graph Using a Table of Values	f(x)=\|x\|-1	$f (x) = \| x \| - 1$
213034	Simplify	(2x^2+x-1)/(4x^2-3x+2)	$\frac{2 x^{2} + x - 1}{4 x^{2} - 3 x + 2}$
213035	Simplify	16/(a^0)+b^0	$\frac{16}{a^{0}} + b^{0}$
213036	Divide	((x^2-x-12)/(3x-9))÷((x-4)/12)	$\frac{x^{2} - x - 12}{3 x - 9} \div \frac{x - 4}{12}$
213037	Factor	(5x+4)^2-(10x-7)^2	${(5 x + 4)}^{2} - {(10 x - 7)}^{2}$
213038	Solve for x	3(4x-2)-5x=6-7(-x-2)	$3 (4 x - 2) - 5 x = 6 - 7 (- x - 2)$
213039	Evaluate	sin(2x)=sin(x)	$\sin (2 x) = \sin (x)$
213040	Multiply	(m^4+m^2n^2+n^4)*(m^2-n^2)	$(m^{4} + m^{2} n^{2} + n^{4}) \cdot (m^{2} - n^{2})$
213041	Solve for x	36^(1/3+4x) = square root of 6	$36^{\frac{1}{3} + 4 x} = \sqrt{6}$
213042	Simplify	cube root of (250f^7g^3)/(2f^2g)	$\sqrt[3]{\frac{250 f^{7} g^{3}}{2 f^{2} g}}$
213043	Solve for x	2^(3x+8)>=8	$2^{3 x + 8} \geq 8$
213044	Solve for y	-15+4(2-5y)=-7(y-4)+4	$- 15 + 4 (2 - 5 y) = - 7 (y - 4) + 4$
213045	Find the Inverse	y=1/3(x+7)^3-5	$y = \frac{1}{3} {(x + 7)}^{3} - 5$
213046	Multiply	6/(x^2+9x+20)*(8x+40)/(6x-12)	$\frac{6}{x^{2} + 9 x + 20} \cdot \frac{8 x + 40}{6 x - 12}$
213047	Solve by Addition/Elimination	11+y=-5x 3y=47+5x	$11 + y = - 5 x$ $3 y = 47 + 5 x$
213048	Simplify	((24a^11b^16c^6)/(18a^6b^6c^6))^3	${(\frac{24 a^{11} b^{16} c^{6}}{18 a^{6} b^{6} c^{6}})}^{3}$
213049	Find the Roots (Zeros)	(x-2)	$(x - 2)$
213050	Find the Product	(3x^2)^3	${(3 x^{2})}^{3}$
213051	Write in Standard Form	f(x)=4^x+2x^2+x+5	$f (x) = 4^{x} + 2 x^{2} + x + 5$
213052	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+10x^2+7x+2 is divided by 3x+2	Use the long division method to find the result when $6 x^{3} + 10 x^{2} + 7 x + 2$ is divided by $3 x + 2$
213053	Simplify	10(25^(2/3))-6*25^(2/3)	$10 (25^{\frac{2}{3}}) - 6 \cdot 25^{\frac{2}{3}}$
213054	Simplify	1 2/5m-3/5(2/3m+1)	$1 \frac{2}{5} m - \frac{3}{5} (\frac{2}{3} m + 1)$
213055	Find the Quotient	(x^2-3x-18)÷(x+3)	$(x^{2} - 3 x - 18) \div (x + 3)$
213056	Convert to a Decimal	280deg	$280$ degrees
213057	Simplify	(3/2+( square root of 3)/3i)^2	${(\frac{3}{2} + \frac{\sqrt{3}}{3} i)}^{2}$
213058	Simplify	cube root of 108^5a^9b^6	$\sqrt[3]{108^{5} a^{9} b^{6}}$
213059	Solve the Inequality for x	-12<5-x<17	$- 12 < 5 - x < 17$
213060	Simplify	cube root of 3* sixth root of 2	$\sqrt[3]{3} \cdot \sqrt[6]{2}$
213061	Solve for x	\|3x+3/7\|=2 1/3	$\| 3 x + \frac{3}{7} \| = 2 \frac{1}{3}$
213062	Graph	y=-3x+11 2y=4x-5	$y = - 3 x + 11$ $2 y = 4 x - 5$
213063	Simplify	(9x^3-63x^2-72x)/(x+1)(x^2-14x+40)/(x^2-18x+80)(x^2-16)/(x^2-16)	$\frac{9 x^{3} - 63 x^{2} - 72 x}{x + 1} \cdot \frac{x^{2} - 14 x + 40}{x^{2} - 18 x + 80} \cdot \frac{x^{2} - 16}{x^{2} - 16}$
213064	Graph Using a Table of Values	f(x)=-2(1/5)^(x+4)+8	$f (x) = - 2 {(\frac{1}{5})}^{x + 4} + 8$
213065	Simplify	20 cube root of x-10 fourth root of y+ fourth root of y-5 cube root of x	$20 \sqrt[3]{x} - 10 \sqrt[4]{y} + \sqrt[4]{y} - 5 \sqrt[3]{x}$
213066	Find the Inverse	y=1/3(x-9)^3	$y = \frac{1}{3} {(x - 9)}^{3}$
213067	Solve the Rational Equation for x	square root of 3x=9	$\sqrt{3 x} = 9$
213068	Solve for r	16^(r+8)-9.6=75	$16^{r + 8} - 9.6 = 75$
213069	Simplify	-x(x-a)(x+b)	$- x (x - a) (x + b)$
213070	Solve for x	1/4+(2x+1)/(4x)=1	$\frac{1}{4} + \frac{2 x + 1}{4 x} = 1$
213071	Solve for Y	11/Y=9/27	$\frac{11}{Y} = \frac{9}{27}$
213072	Subtract	(8x^2)/(x-3)-(24x)/(x-3)	$\frac{8 x^{2}}{x - 3} - \frac{24 x}{x - 3}$
213073	Find the Roots (Zeros)	9x^2=4+7x	$9 x^{2} = 4 + 7 x$
213074	Write as a Single Logarithm	2 natural log of x+ natural log of x+1	$2 \ln (x) + \ln (x + 1)$
213075	Graph	y>=2 x<=-1	$y \geq 2$ $x \leq - 1$
213076	Evaluate	(-85-(-60))/(5(5-6))	$\frac{- 85 - (- 60)}{5 (5 - 6)}$
213077	Find All Complex Solutions	square root of x+2=-x	$\sqrt{x + 2} = - x$
213078	Simplify	(-n^2+16n-63)/(n^2-2n-35)	$\frac{- n^{2} + 16 n - 63}{n^{2} - 2 n - 35}$
213079	Subtract	(5y^4+3y^3-6y^2+14)-(-y^4+y^2-7y-1)	$(5 y^{4} + 3 y^{3} - 6 y^{2} + 14) - (- y^{4} + y^{2} - 7 y - 1)$
213080	Graph	r^2=cos(2theta)	$r^{2} = \cos (2 θ)$
213081	Evaluate	(-1)^3-3/2(-1)^2	${(- 1)}^{3} - \frac{3}{2} {(- 1)}^{2}$
213082	Find the First Term	a_n=3(2)^n	$a_{n} = 3 {(2)}^{n}$
213083	Solve for a	-(a-3)+2a=-2	$- (a - 3) + 2 a = - 2$
213084	Solve by Substitution	x-3y=-1 x=y	$x - 3 y = - 1$ $x = y$
213085	Graph	sin(theta)<0 , cot(theta)<0	$\sin (θ) < 0$ , $\cot (θ) < 0$
213086	Solve for x	y=(z^2xw)/a	$y = \frac{z^{2} x w}{a}$
213087	Solve the System of Equations	y=1/3x y=-2	$y = \frac{1}{3} x$ $y = - 2$
213088	Evaluate the Function	h(x)=x^5-4x^3+3x^2+11x-8 , x=7	$h (x) = x^{5} - 4 x^{3} + 3 x^{2} + 11 x - 8$ , $x = 7$
213089	Solve the System of Equations	-10x+y-5z=-7 2x+y+5z=1 3x-3y-5z=8	$- 10 x + y - 5 z = - 7$ $2 x + y + 5 z = 1$ $3 x - 3 y - 5 z = 8$
213090	Solve for y	y-11=25-3y	$y - 11 = 25 - 3 y$
213091	Simplify	2(4^2+3)+(6-2^2)	$2 (4^{2} + 3) + (6 - 2^{2})$
213092	Find the Excluded Values	(-9x)/(x^2-4x-21)	$\frac{- 9 x}{x^{2} - 4 x - 21}$
213093	Simplify	( square root of 10)÷( cube root of 2)	$\sqrt{10} \div \sqrt[3]{2}$
213094	Solve the System of Equations	2y=-2x+16 y-8=-x	$2 y = - 2 x + 16$ $y - 8 = - x$
213095	Find All Complex Solutions	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
213096	Solve for x	y<=x^2+2x-8	$y \leq x^{2} + 2 x - 8$
213097	Simplify	(2x^2y)^4(x^4y^5)^10	${(2 x^{2} y)}^{4} {(x^{4} y^{5})}^{10}$
213098	Find the Excluded Values	3/(8m)+7/(m+4)=(m+1)/(m-16)	$\frac{3}{8 m} + \frac{7}{m + 4} = \frac{m + 1}{m - 16}$
213099	Solve the Inequality for b	\|b-8\|+10>22	$\| b - 8 \| + 10 > 22$
213100	Solve for z	a=x+y+z	$a = x + y + z$