Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219101	Solve for x	10=2^x-22	$10 = 2^{x} - 22$
219102	Simplify	cube root of 24- square root of 80+4 square root of 125- cube root of 81	$\sqrt[3]{24} - \sqrt{80} + 4 \sqrt{125} - \sqrt[3]{81}$
219103	Evaluate	csc(theta)=(2 square root of 3)/3	$\csc (θ) = \frac{2 \sqrt{3}}{3}$
219104	Simplify	(2u^2+u)/(2u-9)-45/(2u-9)	$\frac{2 u^{2} + u}{2 u - 9} - \frac{45}{2 u - 9}$
219105	Solve the Inequality for x	3x+2(x-8)>x	$3 x + 2 (x - 8) > x$
219106	Evaluate	2a^(-5/2)	$2 a^{- \frac{5}{2}}$
219107	Factor	5xy-2x^2y+2xy	$5 x y - 2 x^{2} y + 2 x y$
219108	Find the Degree, Leading Term, and Leading Coefficient	x/8+1	$\frac{x}{8} + 1$
219109	Simplify the Radical Expression	fifth root of 5* fifth root of 5^2	$\sqrt[5]{5} \cdot \sqrt[5]{5^{2}}$
219110	Solve for s	s=8 square root of 40	$s = 8 \sqrt{40}$
219111	Solve the System of Inequalities	y>-1/2x-1 y>-x+3	$y > - \frac{1}{2} x - 1$ $y > - x + 3$
219112	Multiply	2pi3	$2 \cdot π \cdot 3$
219113	Solve the System of Equations	y=x^2-x+2 y=2x^2+x-6	$y = x^{2} - x + 2$ $y = 2 x^{2} + x - 6$
219114	Simplify	(3(2-6))/-5	$\frac{3 (2 - 6)}{- 5}$
219115	Write with Rational (Fractional) Exponents	square root of 5^3* fifth root of 5^4	$\sqrt{5^{3}} \cdot \sqrt[5]{5^{4}}$
219116	Simplify	((6x^3-600x)/(x^2-18x+80)*(4x)/(x^3-64x))÷((x+10)/(x^3-64x))	$\frac{6 x^{3} - 600 x}{x^{2} - 18 x + 80} \cdot \frac{4 x}{x^{3} - 64 x} \div \frac{x + 10}{x^{3} - 64 x}$
219117	Solve the System of Equations	3x+y=12 and -x-4y=29	$3 x + y = 12$ and $- x - 4 y = 29$
219118	Write in Standard Form	2(x-3)(x+5)=0	$2 (x - 3) (x + 5) = 0$
219119	Write the Fraction in Simplest Form	(5j^6)/((4q^5j^-3)^-2)	$\frac{5 j^{6}}{{(4 q^{5} j^{- 3})}^{- 2}}$
219120	Evaluate	30%de*240	$30 % d e \cdot 240$
219121	Solve for d	a=b-cd	$a = b - c d$
219122	Solve for y	3(-y+4)=-(-14+4y)	$3 (- y + 4) = - (- 14 + 4 y)$
219123	Determine if Linear	3x(x-4)=y	$3 x (x - 4) = y$
219124	Write the Fraction in Simplest Form	(5(t^-4x^-5)^-1)/(3t^4x^-1)	$\frac{5 {(t^{- 4} x^{- 5})}^{- 1}}{3 t^{4} x^{- 1}}$
219125	Combine	64 square root of 3-4 square root of 48-5 square root of 48	$64 \sqrt{3} - 4 \sqrt{48} - 5 \sqrt{48}$
219126	Simplify	(6x^2-7x+2)+(15x+5-4x^2)	$(6 x^{2} - 7 x + 2) + (15 x + 5 - 4 x^{2})$
219127	Write the Fraction in Simplest Form	((x+3)/(x^2-2x-3))÷((x^2+2x-3)/(x+1))	$\frac{x + 3}{x^{2} - 2 x - 3} \div \frac{x^{2} + 2 x - 3}{x + 1}$
219128	Simplify	(7/(2x))÷(7/(2x^3))	$\frac{7}{2 x} \div \frac{7}{2 x^{3}}$
219129	Simplify	(x^(3/5))^(-1/6)	${(x^{\frac{3}{5}})}^{- \frac{1}{6}}$
219130	Solve for v	2(3v-5)=2(v-11)-4	$2 (3 v - 5) = 2 (v - 11) - 4$
219131	Find the Degree, Leading Term, and Leading Coefficient	f(x)=8x^2-9x	$f (x) = 8 x^{2} - 9 x$
219132	Solve the Inequality for x	(1/16)^(3x-4)<=64^(x-1)	${(\frac{1}{16})}^{3 x - 4} \leq 64^{x - 1}$
219133	Solve for x	30=5e^(4x-3)	$30 = 5 e^{4 x - 3}$
219134	Solve the System of Equations	-9x+5y=10 (36x)/5-4y=4	$- 9 x + 5 y = 10$ $\frac{36 x}{5} - 4 y = 4$
219135	Solve the Inequality for x	-2x^2+13x-20<0	$- 2 x^{2} + 13 x - 20 < 0$
219136	Simplify	a-6a+3a	$a - 6 a + 3 a$
219137	Simplify	(m+1)/(3m-15)*(8m-80)/(m^2-9m-10)	$\frac{m + 1}{3 m - 15} \cdot \frac{8 m - 80}{m^{2} - 9 m - 10}$
219138	Evaluate	1+tan(pi/6)^2	$1 + \tan^{2} (\frac{π}{6})$
219139	Factor by Grouping	4x-4m+xy-my	$4 x - 4 m + x y - m y$
219140	Write in Standard Form	(x^2-12x+27)*(x-9)	$(x^{2} - 12 x + 27) \cdot (x - 9)$
219141	Solve for x	cube root of 3-8x^2=2x	$\sqrt[3]{3 - 8 x^{2}} = 2 x$
219142	Solve for x	2^(2x)=20-2^x	$2^{2 x} = 20 - 2^{x}$
219143	Simplify	(2a-4)/(3(a-2))	$\frac{2 a - 4}{3 (a - 2)}$
219144	Solve for r	rt=w for r	$r t = w$ for $r$
219145	Find the Holes in the Graph	(x^2-4)/(x^2-5x+6)	$\frac{x^{2} - 4}{x^{2} - 5 x + 6}$
219146	Solve for x	36=(x^2-x)/2	$36 = \frac{x^{2} - x}{2}$
219147	Simplify	((4-x^2)/(x-2)*(x^2-25)/(x+2))÷((x^2+10x+25)/(x+5))	$\frac{4 - x^{2}}{x - 2} \cdot \frac{x^{2} - 25}{x + 2} \div \frac{x^{2} + 10 x + 25}{x + 5}$
219148	Find the Holes in the Graph	1/(3x^2+3x-18)	$\frac{1}{3 x^{2} + 3 x - 18}$
219149	Find the Exact Value	sin(-pi/3)+cos((5pi)/4)	$\sin (- \frac{π}{3}) + \cos (\frac{5 π}{4})$
219150	Solve for x	\|x-1\|-3<=0	$\| x - 1 \| - 3 \leq 0$
219151	Graph	Where does the polynomial y=x^2+2x+1 cross the x-axis ?	Where does the polynomial $y = x^{2} + 2 x + 1$ cross the $x - a x i s$ ?
219152	Solve the System of Inequalities	-2x+5<-3x-3 and -4x+9>=-5x+2	$- 2 x + 5 < - 3 x - 3$ and $- 4 x + 9 \geq - 5 x + 2$
219153	Solve the Inequality for x	3(x+1)<=3x+11	$3 (x + 1) \leq 3 x + 11$
219154	Simplify	( square root of 3)/( square root of 2+ square root of 5)	$\frac{\sqrt{3}}{\sqrt{2} + \sqrt{5}}$
219155	Solve the Absolute Value Inequality for x	\|x\|-1>0	$\| x \| - 1 > 0$
219156	Solve the System of Equations	2x+3y=6 y=-2/3x+4	$2 x + 3 y = 6$ $y = - \frac{2}{3} x + 4$
219157	Factor	y=3x^3-3x	$y = 3 x^{3} - 3 x$
219158	Solve for x	2^x=-2x+11	$2^{x} = - 2 x + 11$
219159	Simplify	square root of 9( square root of a^3+ square root of 7)a^3	$\sqrt{9} (\sqrt{a^{3}} + \sqrt{7}) a^{3}$
219160	Find the End Behavior	p(x)=5x^3-3x^2+x+10	$p (x) = 5 x^{3} - 3 x^{2} + x + 10$
219161	Simplify	2x*1/x	$2 x \cdot \frac{1}{x}$
219162	Find the Excluded Values	(x+4)/(x-3)	$\frac{x + 4}{x - 3}$
219163	Write in Exponential Form	log base 2 of cube root of 2=1/3	$\log_{2} (\sqrt[3]{2}) = \frac{1}{3}$
219164	Multiply	square root of x(5 square root of x-2 square root of x)	$\sqrt{x} (5 \sqrt{x} - 2 \sqrt{x})$
219165	Simplify	(tan(A)^2+1)/(sec(A))	$\frac{\tan^{2} (A) + 1}{\sec (A)}$
219166	Solve for x	y = square root of ax	$y = \sqrt{a x}$
219167	Simplify	2(3xy)^3	$2 {(3 x y)}^{3}$
219168	Simplify	(-1+8i)/(-i)	$\frac{- 1 + 8 i}{- i}$
219169	Simplify	((6x^2-54x+84)/(8x^2-40x+48))÷((x^2+x-56)/(2x^2+12x-32))	$\frac{6 x^{2} - 54 x + 84}{8 x^{2} - 40 x + 48} \div \frac{x^{2} + x - 56}{2 x^{2} + 12 x - 32}$
219170	Solve the Inequality for y	-9<5-7y<=12	$- 9 < 5 - 7 y \leq 12$
219171	Solve the System of Equations	(x-3)^2+(y+2)^2=16 2x+2y=10	${(x - 3)}^{2} + {(y + 2)}^{2} = 16$ $2 x + 2 y = 10$
219172	Multiply	x^2(-9x^2+4)	$x^{2} (- 9 x^{2} + 4)$
219173	Simplify the Radical Expression	((x^2y^6)/(x^-1y^3))^(1/3)	${(\frac{x^{2} y^{6}}{x^{- 1} y^{3}})}^{\frac{1}{3}}$
219174	Simplify	(10fg^-5h^0)/(h^-2)	$\frac{10 f g^{- 5} h^{0}}{h^{- 2}}$
219175	Solve for d	3\|2d-9\|-10=3	$3 \| 2 d - 9 \| - 10 = 3$
219176	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-11x^3-12x^2+22x+15 is divided by x-3	Use synthetic division to find the result when $4 x^{4} - 11 x^{3} - 12 x^{2} + 22 x + 15$ is divided by $x - 3$
219177	Write the Fraction in Simplest Form	(p^-8)/(7^-2q^-9)	$\frac{p^{- 8}}{7^{- 2} q^{- 9}}$
219178	Simplify	1/(x^2)-1/(x^3)	$\frac{1}{x^{2}} - \frac{1}{x^{3}}$
219179	Evaluate	(-105+(-35))*(-3+5)	$(- 105 + (- 35)) \cdot (- 3 + 5)$
219180	Find All Complex Solutions	4/(3x+1)=x/(2x+10)	$\frac{4}{3 x + 1} = \frac{x}{2 x + 10}$
219181	Find the Roots (Zeros)	x^4-2x^3-2x^2=0	$x^{4} - 2 x^{3} - 2 x^{2} = 0$
219182	Simplify	(2xy^(-3/2))/( fourth root of x^5y^4)	$\frac{2 x y^{- \frac{3}{2}}}{\sqrt[4]{x^{5} y^{4}}}$
219183	Write the Fraction in Simplest Form	((5m^4k^-1)^-4)/(2m^-3k^-9)	$\frac{{(5 m^{4} k^{- 1})}^{- 4}}{2 m^{- 3} k^{- 9}}$
219184	Solve for y	x=2/5y	$x = \frac{2}{5} y$
219185	Evaluate	4*(1/2)^0	$4 \cdot {(\frac{1}{2})}^{0}$
219186	Simplify	((3^74^7)(25)^-3(5^2))/(12^75^-12^-4)	$\frac{(3^{7} \cdot 4^{7}) {(2 \cdot 5)}^{- 3} (5^{2})}{12^{7} \cdot 5^{- 1} \cdot 2^{- 4}}$
219187	Divide	2x^11-6x^7-(10x^6)÷2x^3	$2 x^{11} - 6 x^{7} - 10 x^{6} \div 2 x^{3}$
219188	Simplify	2/(9x)-(2x)/3	$\frac{2}{9 x} - \frac{2 x}{3}$
219189	Solve for x	1/(x+1)+x/(1-x)=5/(x-1)	$\frac{1}{x + 1} + \frac{x}{1 - x} = \frac{5}{x - 1}$
219190	Evaluate	(9 square root of 2)/( square root of 10+ square root of 18)	$\frac{9 \sqrt{2}}{\sqrt{10 + \sqrt{18}}}$
219191	Evaluate	-9÷3(63-(1+4))	$- 9 \div 3 \cdot (6 \cdot 3 - (1 + 4))$
219192	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+27x^2+29x+7 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 27 x^{2} + 29 x + 7$ is divided by $3 x + 1$
219193	Divide Using Synthetic Division	3x^3-5x+10 by x-1	$3 x^{3} - 5 x + 10$ by $x - 1$
219194	Simplify	(x+2)/(x-7)*(x^2-49)/(x^2+5x+6)	$\frac{x + 2}{x - 7} \cdot \frac{x^{2} - 49}{x^{2} + 5 x + 6}$
219195	Find the Roots (Zeros)	xe^x+e^x	$x e^{x} + e^{x}$
219196	Find the x and y Intercepts	f(x)=(x^2-7)(2x+1)^2(x+2)	$f (x) = (x^{2} - 7) {(2 x + 1)}^{2} (x + 2)$
219197	Simplify	(x+1)(x)	$(x + 1) (x)$
219198	Simplify	cos(40 degrees )^2-sin(40 degrees )^2	$\cos^{2} (40 °) - \sin^{2} (40 °)$
219199	Solve for n	(-1-n)^(4/5)=(3n+11)^(4/5)	${(- 1 - n)}^{\frac{4}{5}} = {(3 n + 11)}^{\frac{4}{5}}$
219200	Solve the System of Equations	-2x-y=6 and -7x-y=-4	$- 2 x - y = 6$ and $- 7 x - y = - 4$