Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222101	Solve for x	-12=-x+ square root of 2x+24	$- 12 = - x + \sqrt{2 x + 24}$
222102	Solve for x	1/4x-2<-1 1/2	$\frac{1}{4} x - 2 < - 1 \frac{1}{2}$
222103	Factor	Factor: 8x^3-1	Factor: $8 x^{3} - 1$
222104	Solve for E	E/e=(R+r)/r	$\frac{E}{e} = \frac{R + r}{r}$
222105	Find the Domain and Range	x^2y-4x^2-5x-9y-6=0	$x^{2} y - 4 x^{2} - 5 x - 9 y - 6 = 0$
222106	Simplify the Radical Expression	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
222107	Solve the System of Inequalities	y>-3x+5 y<=x-2	$y > - 3 x + 5$ $y \leq x - 2$
222108	Find the Distance Between Two Points	(0,-4) and (-3,-1)	$(0, - 4)$ and $(- 3, - 1)$
222109	Evaluate	1/2(3)-1	$\frac{1}{2} (3) - 1$
222110	Evaluate	(n-5)/6+(n+3)/7=11/21	$\frac{n - 5}{6} + \frac{n + 3}{7} = \frac{11}{21}$
222111	Solve the System of Equations	y=x^2+5x-25 1=3x-y	$y = x^{2} + 5 x - 25$ $1 = 3 x - y$
222112	Simplify	(2x-4)^2-(x+7)(x-2)	${(2 x - 4)}^{2} - (x + 7) (x - 2)$
222113	Simplify the Radical Expression	3x cube root of x^8y+x^2 cube root of x^5y	$3 x \sqrt[3]{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
222114	Solve for x	square root of 3x-3 = square root of x-3	$\sqrt{3 x} - 3 = \sqrt{x - 3}$
222115	Simplify	3x^3y*2x^8y^5	$3 x^{3} y \cdot 2 x^{8} y^{5}$
222116	Graph	y^2=x^2-x^4	$y^{2} = x^{2} - x^{4}$
222117	Evaluate	100000/((1-(1+0.02)^-5)/0.02)	$\frac{100000}{\frac{1 - {(1 + 0.02)}^{- 5}}{0.02}}$
222118	Solve by Graphing	2x+y=-2 y=x-8	$2 x + y = - 2$ $y = x - 8$
222119	Solve for x	2+3/4(12x+4)=12x+4	$2 + \frac{3}{4} (12 x + 4) = 12 x + 4$
222120	Simplify	(7s^2t+3)(7s^2t-3)	$(7 s^{2} t + 3) (7 s^{2} t - 3)$
222121	Graph	2y^2=x-8	$2 y^{2} = x - 8$
222122	Solve the Inequality for x	-x>=-(-x+4)+3/4	$- x \geq - (- x + 4) + \frac{3}{4}$
222123	Find the Excluded Values	(4m^2-14m+12)/(12m^2-27)	$\frac{4 m^{2} - 14 m + 12}{12 m^{2} - 27}$
222124	Simplify the Radical Expression	(5+6i)/(4+6i)	$\frac{5 + 6 i}{4 + 6 i}$
222125	Solve the Inequality for b	-7<-3b+5<=29	$- 7 < - 3 b + 5 \leq 29$
222126	Simplify	(5^-6x^-1y^2)/(5^-3x^-4y^4)	$\frac{5^{- 6} x^{- 1} y^{2}}{5^{- 3} x^{- 4} y^{4}}$
222127	Multiply	square root of a( square root of a^3-7)	$\sqrt{a} (\sqrt{a^{3}} - 7)$
222128	Factor	(m-n)^6+(m-n)^2	${(m - n)}^{6} + {(m - n)}^{2}$
222129	Solve for x	x^(x^x)=2	$x^{x^{x}} = 2$
222130	Subtract	1/4--1/2	$\frac{1}{4} - \frac{- 1}{2}$
222131	Evaluate	6/(2(1+3))	$\frac{6}{2 (1 + 3)}$
222132	Solve the Inequality for x	(15-x)(3x+8)(x-5)^3<=0	$(15 - x) (3 x + 8) {(x - 5)}^{3} \leq 0$
222133	Simplify	p/( square root of 18p^10)	$\frac{p}{\sqrt{18 p^{10}}}$
222134	Solve for b	12b+3-3b+5=44	$12 b + 3 - 3 b + 5 = 44$
222135	Simplify	5 square root of 9*5 square root of 9	$5 \sqrt{9} \cdot 5 \sqrt{9}$
222136	Graph	f(x,y) = square root of y-x^2	$f (x, y) = \sqrt{y - x^{2}}$
222137	Solve the Absolute Value Inequality for m	\|(m-12)/4\|<19	$\| \frac{m - 12}{4} \| < 19$
222138	Convert to Interval Notation	x<-11 or x>5	$x < - 11$ or $x > 5$
222139	Simplify	(11i^4+4i^3)-(2i^4-6i^3)	$(11 i^{4} + 4 i^{3}) - (2 i^{4} - 6 i^{3})$
222140	Simplify	((2x)^-2y^5)/(-4x^2y^2)	$\frac{{(2 x)}^{- 2} y^{5}}{- 4 x^{2} y^{2}}$
222141	Simplify	(6/(x-1)-3)/(3/x)	$\frac{\frac{6}{x - 1} - 3}{\frac{3}{x}}$
222142	Solve for z	z=7(cos(pi/3)+isin(pi/3))	$z = 7 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3}))$
222143	Solve for x	3/4x-21=6-1 1/2x	$\frac{3}{4} x - 21 = 6 - 1 \frac{1}{2} x$
222144	Simplify	sixth root of 9y^14e^4s^12	$\sqrt[6]{9 y^{14} e^{4} s^{12}}$
222145	Write with Rational (Fractional) Exponents	( square root of 2^5)/( cube root of 2)	$\frac{\sqrt{2^{5}}}{\sqrt[3]{2}}$
222146	Evaluate	(6a-4)/(7a-5)-3	$\frac{6 a - 4}{7 a - 5} - 3$
222147	Convert to a Mixed Number	100%	$100 %$
222148	Solve Using the Quadratic Formula	5(x+11)^2=-50	$5 {(x + 11)}^{2} = - 50$
222149	Solve for g	(4+g)(-11)=121	$(4 + g) (- 11) = 121$
222150	Simplify	Simplify 18-2(x+(x-5))	Simplify $18 - 2 (x + (x - 5))$
222151	Simplify	( cube root of 10v^8)( cube root of 12v^4)	$(\sqrt[3]{10 v^{8}}) (\sqrt[3]{12 v^{4}})$
222152	Solve the Inequality for x	-2x^2+4x>-4x+6	$- 2 x^{2} + 4 x > - 4 x + 6$
222153	Find the Degree	arctan(- square root of 3)	$\arctan (- \sqrt{3})$
222154	Solve for x	x^3+13x=10x^2	$x^{3} + 13 x = 10 x^{2}$
222155	Simplify	log base xy of 1/x+ log base xy of 1/y	$\log_{x y} (\frac{1}{x}) + \log_{x y} (\frac{1}{y})$
222156	Write in y=mx+b Form	y=x+3	$y = x + 3$
222157	Simplify	1/(5^-3)*1/(5^6)	$\frac{1}{5^{- 3}} \cdot \frac{1}{5^{6}}$
222158	Solve the Rational Equation for x	(x-3)/(x+5)=x/(x+2)	$\frac{x - 3}{x + 5} = \frac{x}{x + 2}$
222159	Solve the Rational Equation for x	15/(x(x+4))=(x+2)/(x+4)	$\frac{15}{x (x + 4)} = \frac{x + 2}{x + 4}$
222160	Convert to Rectangular	(6(cos((3pi)/4)+isin((3pi)/4)))÷2(cos(pi/4)+isin(pi/4))	$6 (\cos (\frac{3 π}{4}) + i \sin (\frac{3 π}{4})) \div 2 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
222161	Combine Like Terms	8y-4z+3y+5z	$8 y - 4 z + 3 y + 5 z$
222162	Write in Slope-Intercept Form	(-4,-7) and (-6,9)	$(- 4, - 7)$ and $(- 6, 9)$
222163	Solve for x	square root of x+6- square root of 2x-4=0	$\sqrt{x + 6} - \sqrt{2 x - 4} = 0$
222164	Divide Using Long Polynomial Division	(x^4-4x^3+6x^2-6)÷(x-2)	$(x^{4} - 4 x^{3} + 6 x^{2} - 6) \div (x - 2)$
222165	Multiply	x^(3/4)*x^(1/5)	$x^{\frac{3}{4}} \cdot x^{\frac{1}{5}}$
222166	Solve for x	8 square root of x+6-7=-79	$8 \sqrt{x + 6 - 7} = - 79$
222167	Evaluate	(1/6)÷(3/7)+1/9	$\frac{1}{6} \div \frac{3}{7} + \frac{1}{9}$
222168	Multiply	2*3/4	$2 \times \frac{3}{4}$
222169	Simplify the Radical Expression	((w^-8)/(w^-4))^(5/12)	${(\frac{w^{- 8}}{w^{- 4}})}^{\frac{5}{12}}$
222170	Graph	x-3y=3 y=x+3	$x - 3 y = 3$ $y = x + 3$
222171	Find the Exact Value	arcsin(sin(-(5pi)/3))	$\arcsin (\sin (- \frac{5 π}{3}))$
222172	Simplify	(csc(x)-cot(x))(csc(x)+cot(x))	$(\csc (x) - \cot (x)) (\csc (x) + \cot (x))$
222173	Multiply	(9x^2)/(x-6)(x^2-36)/(3x-6)3/(4x^2+24x)	$\frac{9 x^{2}}{x - 6} \cdot \frac{x^{2} - 36}{3 x - 6} \cdot \frac{3}{4 x^{2} + 24 x}$
222174	Evaluate	5^( log base 5 of 3)- natural log of e^4+e^0	$5^{\log_{5} (3)} - \ln (e^{4}) + e^{0}$
222175	Simplify	(24x^5y^-3)^0	${(24 x^{5} y^{- 3})}^{0}$
222176	Solve for y	2y=x+3	$2 y = x + 3$
222177	Write the Fraction in Simplest Form	(w^2-5w-24)/(w+1)*(w^2-6w-7)/(w+3)	$\frac{w^{2} - 5 w - 24}{w + 1} \cdot \frac{w^{2} - 6 w - 7}{w + 3}$
222178	Simplify	(4m+7n)+(-3m+12)	$(4 m + 7 n) + (- 3 m + 12)$
222179	Simplify	(sin(theta)^2+cos(theta)^2)(sin(theta)+cos(theta))	$(\sin^{2} (θ) + \cos^{2} (θ)) (\sin (θ) + \cos (θ))$
222180	Solve for y	x+y^3=8	$x + y^{3} = 8$
222181	Simplify	Compute i^-2	Compute $i^{- 2}$
222182	Graph	-5/6x=y+1/6	$- \frac{5}{6} x = y + \frac{1}{6}$
222183	Simplify	square root of 6x square root of 9x	$\sqrt{6 x} \sqrt{9 x}$
222184	Simplify	((5x^3)/4)÷((15x)/8)	$\frac{5 x^{3}}{4} \div \frac{15 x}{8}$
222185	Solve for x	(5x-2)/3=(5-3x)/2	$\frac{5 x - 2}{3} = \frac{5 - 3 x}{2}$
222186	Solve for x	natural log of x-6=2 natural log of 2- natural log of 10-x	$\ln (x - 6) = 2 \ln (2) - \ln (10 - x)$
222187	Solve the Inequality for m	5+m>-2	$5 + m > - 2$
222188	Simplify	square root of 6x^2* square root of 18x	$\sqrt{6 x^{2}} \cdot \sqrt{18 x}$
222189	Solve for x	(3-4x)/(1+5x)=1/(2+3x)	$\frac{3 - 4 x}{1 + 5 x} = \frac{1}{2 + 3 x}$
222190	Plot	y>x-5 y>=-2x	$y > x - 5$ $y \geq - 2 x$
222191	Simplify	e^-9*e^7	$e^{- 9} \cdot e^{7}$
222192	Solve for Z	2/3(Y+Z)=x	$\frac{2}{3} (Y + Z) = x$
222193	Simplify	x^2(x-1)(x+3)	$x^{2} (x - 1) (x + 3)$
222194	Simplify	square root of 2x^3* square root of 12x^6	$\sqrt{2 x^{3}} \cdot \sqrt{12 x^{6}}$
222195	Solve for θ	sec(2theta)=2	$\sec (2 θ) = 2$
222196	Solve Using the Quadratic Formula	x^2+13/2x+15/2=0	$x^{2} + \frac{13}{2} x + \frac{15}{2} = 0$
222197	Simplify	fifth root of 8x^3y* fifth root of 4x^4y	$\sqrt[5]{8 x^{3} y} \cdot \sqrt[5]{4 x^{4} y}$
222198	Evaluate	5/9*1/2+1/6	$\frac{5}{9} \cdot \frac{1}{2} + \frac{1}{6}$
222199	Graph	y=2(2^x-1)	$y = 2 (2^{x} - 1)$
222200	Solve Using the Quadratic Formula	3-x^2=2x	$3 - x^{2} = 2 x$