Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219201	Simplify the Radical Expression	sixth root of (t^-8)/(t^-4)	$\sqrt[6]{\frac{t^{- 8}}{t^{- 4}}}$
219202	Solve for x	y = natural log of 3x	$y = \ln (3 x)$
219203	Simplify the Radical Expression	square root of 7^3* square root of 7	$\sqrt{7^{3}} \cdot \sqrt{7}$
219204	Find the Inverse	h(x)=-2/(x-1)-3	$h (x) = - \frac{2}{x - 1} - 3$
219205	Solve for x	3^(2x)-5*3^x=-6	$3^{2 x} - 5 \cdot 3^{x} = - 6$
219206	Simplify	6/(7x)+2/(7x)-1/(7x)	$\frac{6}{7 x} + \frac{2}{7 x} - \frac{1}{7 x}$
219207	Factor by Grouping	x^2y-4y-5x^2+20	$x^{2} y - 4 y - 5 x^{2} + 20$
219208	Evaluate	80000/((3.5)^(3/2))e^(-(30/3.5+3.5-2))	$\frac{80000}{{(3.5)}^{\frac{3}{2}}} e^{- (\frac{30}{3.5} + 3.5 - 2)}$
219209	Find the x and y Intercepts	(9-x)/7=y	$\frac{9 - x}{7} = y$
219210	Multiply	(x^2-x-2)/(x+1)*(x^2+3x)/(x^2+x-6)	$\frac{x^{2} - x - 2}{x + 1} \cdot \frac{x^{2} + 3 x}{x^{2} + x - 6}$
219211	Simplify	(x^-6y^9)/(xy^-3)*(x^-3)/(y^12)	$\frac{x^{- 6} y^{9}}{x y^{- 3}} \cdot \frac{x^{- 3}}{y^{12}}$
219212	Evaluate	x = square root of 3x+40	$x = \sqrt{3 x + 40}$
219213	Solve for x	x+3(x-1)=x+6	$x + 3 (x - 1) = x + 6$
219214	Simplify	(2u^4v^3)(-3c^5d^4)(1/2c^3u^2v^4)	$(2 u^{4} v^{3}) \cdot (- 3 c^{5} d^{4}) \cdot (\frac{1}{2} c^{3} u^{2} v^{4})$
219215	Simplify	( square root of x+1)( square root of x+x)	$(\sqrt{x} + 1) (\sqrt{x} + x)$
219216	Divide	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
219217	Multiply	(1/2x^4)(7x^2)	$(\frac{1}{2} x^{4}) (7 x^{2})$
219218	Solve for b	2 = square root of 3b-2- square root of 10-b	$2 = \sqrt{3 b - 2} - \sqrt{10 - b}$
219219	Solve Using the Quadratic Formula	2x^2-y=2	$2 x^{2} - y = 2$
219220	Solve for x	1/3(9-6x)=5-2x	$\frac{1}{3} (9 - 6 x) = 5 - 2 x$
219221	Divide	(28p^5-8p^4+40p^2)/(4p^3)	$\frac{28 p^{5} - 8 p^{4} + 40 p^{2}}{4 p^{3}}$
219222	Simplify	(6x^3-4x^2+x-9)-(3x^2+7x+3)	$(6 x^{3} - 4 x^{2} + x - 9) - (3 x^{2} + 7 x + 3)$
219223	Simplify	(3x-y^0)/((3x-y)^0)	$\frac{3 x - y^{0}}{{(3 x - y)}^{0}}$
219224	Simplify the Radical Expression	cube root of (8x^6)/(y^-12)	$\sqrt[3]{\frac{8 x^{6}}{y^{- 12}}}$
219225	Simplify	(1/(x-3)+4/x)/(4/x-1/(x-3))	$\frac{\frac{1}{x - 3} + \frac{4}{x}}{\frac{4}{x} - \frac{1}{x - 3}}$
219226	Write the Fraction in Simplest Form	((4m^2n)^2)/(2m^5n)	$\frac{{(4 m^{2} n)}^{2}}{2 m^{5} n}$
219227	Solve for u	5 1/2-u=9/4	$5 \frac{1}{2} - u = \frac{9}{4}$
219228	Evaluate	(2x-30)/5+(3x-55)/4=(22x-70)/20	$\frac{2 x - 30}{5} + \frac{3 x - 55}{4} = \frac{22 x - 70}{20}$
219229	Evaluate	3x^2=27	$3 x^{2} = 27$
219230	Find the x and y Intercepts	y=- square root of x+2	$y = - \sqrt{x} + 2$
219231	Solve for x	6=x^2+x	$6 = x^{2} + x$
219232	Find the Domain and Range	y=-3/(x+3)-2	$y = - \frac{3}{x + 3} - 2$
219233	Simplify	( cube root of 320)÷( cube root of 5)	$\sqrt[3]{320} \div \sqrt[3]{5}$
219234	Find the Equation Using Two Points	(0,1) and (5,3)	$(0, 1)$ and $(5, 3)$
219235	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,5) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 5, 5)$ and has a slope of $- 1$ ?
219236	Subtract	(y^2)/(y^2+5y)-25/(y^2+5y)	$\frac{y^{2}}{y^{2} + 5 y} - \frac{25}{y^{2} + 5 y}$
219237	Evaluate	74y-8-78y=-4y-8	$74 y - 8 - 78 y = - 4 y - 8$
219238	Simplify	12 1/2-(-4 1/2)	$12 \frac{1}{2} - (- 4 \frac{1}{2})$
219239	Graph	8-3r<=5-2r	$8 - 3 r \leq 5 - 2 r$
219240	Simplify	10 square root of 7+12 square root of 7-8 square root of 7+ square root of 7	$10 \sqrt{7} + 12 \sqrt{7} - 8 \sqrt{7} + \sqrt{7}$
219241	Graph	2x+3y>=12 3x-5y>=15	$2 x + 3 y \geq 12$ $3 x - 5 y \geq 15$
219242	Simplify	simplify square root of 20	simplify $\sqrt{20}$
219243	Solve for x	x^2+21x=11-x^2	$x^{2} + 21 x = 11 - x^{2}$
219244	Evaluate	(1+500^-1)^500	${(1 + 500^{- 1})}^{500}$
219245	Simplify	(6m^-8n)/(p^-1)	$\frac{6 m^{- 8} n}{p^{- 1}}$
219246	Evaluate	f(x)=1/(5^-5)	$f (x) = \frac{1}{5^{- 5}}$
219247	Find the LCD	5/(8x) and (11x)/(x+8)	$\frac{5}{8 x}$ and $\frac{11 x}{x + 8}$
219248	Evaluate	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
219249	Divide	((5x^2+10x)/(x^2+2x+1))÷((20x+40)/(x^2-1))	$\frac{5 x^{2} + 10 x}{x^{2} + 2 x + 1} \div \frac{20 x + 40}{x^{2} - 1}$
219250	Solve the System of Equations	-x+8y-z=4 x-10y-7z=-6 x+4y+9z=8	$- x + 8 y - z = 4$ $x - 10 y - 7 z = - 6$ $x + 4 y + 9 z = 8$
219251	Solve for x	4^x-4^(x-1)=24	$4^{x} - 4^{x - 1} = 24$
219252	Evaluate	square root of 2x+2 = square root of x+10	$\sqrt{2 x + 2} = \sqrt{x + 10}$
219253	Simplify	(5w^-2)(4w)^-2	$(5 w^{- 2}) {(4 w)}^{- 2}$
219254	Solve the Inequality for x	-3x^2-6x+31<7	$- 3 x^{2} - 6 x + 31 < 7$
219255	Solve by Addition/Elimination	5x=2y+50 2y+38=3x	$5 x = 2 y + 50$ $2 y + 38 = 3 x$
219256	Subtract	Subtract: (3a+6)/(5a^2+7a-6)-5/(3a)	Subtract: $\frac{3 a + 6}{5 a^{2} + 7 a - 6} - \frac{5}{3 a}$
219257	Solve for x	1/(x-1)+2/x=x/(x-1)	$\frac{1}{x - 1} + \frac{2}{x} = \frac{x}{x - 1}$
219258	Solve for x	5/(x+1)=6/(x^2-2x-3)+1/(x-3)	$\frac{5}{x + 1} = \frac{6}{x^{2} - 2 x - 3} + \frac{1}{x - 3}$
219259	Simplify the Radical Expression	square root of 20x^2* square root of 20x	$\sqrt{20 x^{2}} \cdot \sqrt{20 x}$
219260	Solve Using the Quadratic Formula	2h^2=h^2+2h+17	$2 h^{2} = h^{2} + 2 h + 17$
219261	Find the Product	(5a-3a^3)(4a-1)	$(5 a - 3 a^{3}) (4 a - 1)$
219262	Find the Exact Value	cos(150)^2	$\cos^{2} (150)$
219263	Write the Fraction in Simplest Form	(3x^10c^10)/(-4(x^3c^2)^-4)	$\frac{3 x^{10} c^{10}}{- 4 {(x^{3} c^{2})}^{- 4}}$
219264	Divide	1/(4/2)	$\frac{1}{\frac{4}{2}}$
219265	Simplify	3-2(-1/2(x-3))	$3 - 2 (- \frac{1}{2} (x - 3))$
219266	Convert to Interval Notation	8-\|2x-1\|>=6	$8 - \| 2 x - 1 \| \geq 6$
219267	Solve for x	2x+3=4x+6-(2x+3)	$2 x + 3 = 4 x + 6 - (2 x + 3)$
219268	Evaluate	i^15i^27i^15*i^8	$i^{15} \cdot i^{27} \cdot i^{15} \cdot i^{8}$
219269	Solve for x	(4x)/(3x+4)=3/7	$\frac{4 x}{3 x + 4} = \frac{3}{7}$
219270	Find the Volume	cylinder (10cm)(5cm)	 $\begin{array}{r} h = & 10 cm \\ r = & 5 cm \end{array}$
219271	Find the Exact Value	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
219272	Solve for m	m^(3/4)=27	$m^{\frac{3}{4}} = 27$
219273	Simplify	1/(a+b)+2/a-3/b	$\frac{1}{a + b} + \frac{2}{a} - \frac{3}{b}$
219274	Solve for x	3 = fourth root of x+4+5	$3 = \sqrt[4]{x + 4} + 5$
219275	Find the Exact Value	cos(10 degrees )^2-sin(10 degrees )^2	$\cos^{2} (10 °) - \sin^{2} (10 °)$
219276	Solve the System of Equations	y=-5/3x+9 y=9	$y = - \frac{5}{3} x + 9$ $y = 9$
219277	Multiply	2*2 square root of 2	$2 \cdot 2 \sqrt{2}$
219278	Evaluate	2^(x-1)=3^(x+1)	$2^{x - 1} = 3^{x + 1}$
219279	Simplify	-(5t^5)/((5t^-5)^2)	$- \frac{5 t^{5}}{{(5 t^{- 5})}^{2}}$
219280	Simplify	(u^2-4v^2)/(u^2+uv-2v^2)	$\frac{u^{2} - 4 v^{2}}{u^{2} + u v - 2 v^{2}}$
219281	Simplify	(16x^2)/(36x^2-1)*(42x-7)/(14x^3)	$\frac{16 x^{2}}{36 x^{2} - 1} \cdot \frac{42 x - 7}{14 x^{3}}$
219282	Describe the Transformation	f(x)=1/3 square root of -x+6	$f (x) = \frac{1}{3} \sqrt{- x} + 6$
219283	Rationalize the Denominator	( square root of 48)/( square root of 14)	$\frac{\sqrt{48}}{\sqrt{14}}$
219284	Evaluate	9(-4/3)^2-8	$9 {(- \frac{4}{3})}^{2} - 8$
219285	Graph	f(x)>-\|x-2\|+4	$f (x) > - \| x - 2 \| + 4$
219286	Solve for x	z=5(x+h)	$z = 5 (x + h)$
219287	Simplify	(3^2)^(-3/2)	${(3^{2})}^{- \frac{3}{2}}$
219288	Simplify	((t^2*t^3)^2)/(t^-3)	$\frac{{(t^{2} \cdot t^{3})}^{2}}{t^{- 3}}$
219289	Simplify	(1/(x+4)-1/x)/4	$\frac{\frac{1}{x + 4} - \frac{1}{x}}{4}$
219290	Solve by Factoring	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
219291	Solve the Absolute Value Inequality for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
219292	Evaluate	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
219293	Solve for x	csc(x)+2=3	$\csc (x) + 2 = 3$
219294	Evaluate	(2+3)^2-6^2+3^2	${(2 + 3)}^{2} - 6^{2} + 3^{2}$
219295	Evaluate	(24^4)/(3^2*8^3)	$\frac{24^{4}}{3^{2} \cdot 8^{3}}$
219296	Evaluate Using the Given Value	x^2-1.78x ; if x=2.78	$x^{2} - 1.78 x$ ; if $x = 2.78$
219297	Solve for x	(x+3)/(x+5)-1/(5-x)=(2x)/(x^2-25)	$\frac{x + 3}{x + 5} - \frac{1}{5 - x} = \frac{2 x}{x^{2} - 25}$
219298	Subtract	(3pi)/2-pi/2	$\frac{3 π}{2} - \frac{π}{2}$
219299	Multiply	(2x+1)(x^3-x)(x^2-3)	$(2 x + 1) (x^{3} - x) (x^{2} - 3)$
219300	Simplify	-3(x^2+x-1)+12	$- 3 (x^{2} + x - 1) + 12$