Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
219201	Divide	(4x^3-12x^2+8x)/(-4x)	$\frac{4 x^{3} - 12 x^{2} + 8 x}{- 4 x}$
219202	Multiply	(1/2x^4)(7x^2)	$(\frac{1}{2} x^{4}) (7 x^{2})$
219203	Solve for b	2 = square root of 3b-2- square root of 10-b	$2 = \sqrt{3 b - 2} - \sqrt{10 - b}$
219204	Solve Using the Quadratic Formula	2x^2-y=2	$2 x^{2} - y = 2$
219205	Solve for x	1/3(9-6x)=5-2x	$\frac{1}{3} (9 - 6 x) = 5 - 2 x$
219206	Divide	(28p^5-8p^4+40p^2)/(4p^3)	$\frac{28 p^{5} - 8 p^{4} + 40 p^{2}}{4 p^{3}}$
219207	Simplify	(6x^3-4x^2+x-9)-(3x^2+7x+3)	$(6 x^{3} - 4 x^{2} + x - 9) - (3 x^{2} + 7 x + 3)$
219208	Simplify	(3x-y^0)/((3x-y)^0)	$\frac{3 x - y^{0}}{{(3 x - y)}^{0}}$
219209	Simplify the Radical Expression	cube root of (8x^6)/(y^-12)	$\sqrt[3]{\frac{8 x^{6}}{y^{- 12}}}$
219210	Simplify	(1/(x-3)+4/x)/(4/x-1/(x-3))	$\frac{\frac{1}{x - 3} + \frac{4}{x}}{\frac{4}{x} - \frac{1}{x - 3}}$
219211	Write the Fraction in Simplest Form	((4m^2n)^2)/(2m^5n)	$\frac{{(4 m^{2} n)}^{2}}{2 m^{5} n}$
219212	Solve for u	5 1/2-u=9/4	$5 \frac{1}{2} - u = \frac{9}{4}$
219213	Evaluate	(2x-30)/5+(3x-55)/4=(22x-70)/20	$\frac{2 x - 30}{5} + \frac{3 x - 55}{4} = \frac{22 x - 70}{20}$
219214	Evaluate	3x^2=27	$3 x^{2} = 27$
219215	Find the x and y Intercepts	y=- square root of x+2	$y = - \sqrt{x} + 2$
219216	Solve for x	6=x^2+x	$6 = x^{2} + x$
219217	Find the Domain and Range	y=-3/(x+3)-2	$y = - \frac{3}{x + 3} - 2$
219218	Simplify	( cube root of 320)÷( cube root of 5)	$\sqrt[3]{320} \div \sqrt[3]{5}$
219219	Find the Equation Using Two Points	(0,1) and (5,3)	$(0, 1)$ and $(5, 3)$
219220	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 $- 1$ ?
219221	Subtract	(y^2)/(y^2+5y)-25/(y^2+5y)	$\frac{y^{2}}{y^{2} + 5 y} - \frac{25}{y^{2} + 5 y}$
219222	Evaluate	74y-8-78y=-4y-8	$74 y - 8 - 78 y = - 4 y - 8$
219223	Simplify	12 1/2-(-4 1/2)	$12 \frac{1}{2} - (- 4 \frac{1}{2})$
219224	Graph	8-3r<=5-2r	$8 - 3 r \leq 5 - 2 r$
219225	Simplify	10 square root of 7+12 square root of 7-8 square root of 7+ square root of 7	$10 \sqrt{7} + 12 \sqrt{7} - 8 \sqrt{7} + \sqrt{7}$
219226	Graph	2x+3y>=12 3x-5y>=15	$2 x + 3 y \geq 12$ $3 x - 5 y \geq 15$
219227	Simplify	simplify square root of 20	simplify $\sqrt{20}$
219228	Solve for x	x^2+21x=11-x^2	$x^{2} + 21 x = 11 - x^{2}$
219229	Evaluate	(1+500^-1)^500	${(1 + 500^{- 1})}^{500}$
219230	Simplify	(6m^-8n)/(p^-1)	$\frac{6 m^{- 8} n}{p^{- 1}}$
219231	Evaluate	f(x)=1/(5^-5)	$f (x) = \frac{1}{5^{- 5}}$
219232	Find the LCD	5/(8x) and (11x)/(x+8)	$\frac{5}{8 x}$ and $\frac{11 x}{x + 8}$
219233	Evaluate	2^-2*3^-1	$2^{- 2} \cdot 3^{- 1}$
219234	Divide	((5x^2+10x)/(x^2+2x+1))÷((20x+40)/(x^2-1))	$\frac{5 x^{2} + 10 x}{x^{2} + 2 x + 1} \div \frac{20 x + 40}{x^{2} - 1}$
219235	Solve the System of Equations	-x+8y-z=4 x-10y-7z=-6 x+4y+9z=8	$- x + 8 y - z = 4$ $x - 10 y - 7 z = - 6$ $x + 4 y + 9 z = 8$
219236	Solve for x	4^x-4^(x-1)=24	$4^{x} - 4^{x - 1} = 24$
219237	Evaluate	square root of 2x+2 = square root of x+10	$\sqrt{2 x + 2} = \sqrt{x + 10}$
219238	Simplify	(5w^-2)(4w)^-2	$(5 w^{- 2}) {(4 w)}^{- 2}$
219239	Solve the Inequality for x	-3x^2-6x+31<7	$- 3 x^{2} - 6 x + 31 < 7$
219240	Solve by Addition/Elimination	5x=2y+50 2y+38=3x	$5 x = 2 y + 50$ $2 y + 38 = 3 x$
219241	Subtract	Subtract: (3a+6)/(5a^2+7a-6)-5/(3a)	Subtract: $\frac{3 a + 6}{5 a^{2} + 7 a - 6} - \frac{5}{3 a}$
219242	Solve for x	1/(x-1)+2/x=x/(x-1)	$\frac{1}{x - 1} + \frac{2}{x} = \frac{x}{x - 1}$
219243	Solve for x	5/(x+1)=6/(x^2-2x-3)+1/(x-3)	$\frac{5}{x + 1} = \frac{6}{x^{2} - 2 x - 3} + \frac{1}{x - 3}$
219244	Simplify the Radical Expression	square root of 20x^2* square root of 20x	$\sqrt{20 x^{2}} \cdot \sqrt{20 x}$
219245	Solve Using the Quadratic Formula	2h^2=h^2+2h+17	$2 h^{2} = h^{2} + 2 h + 17$
219246	Find the Product	(5a-3a^3)(4a-1)	$(5 a - 3 a^{3}) (4 a - 1)$
219247	Find the Exact Value	cos(150)^2	$\cos^{2} (150)$
219248	Write the Fraction in Simplest Form	(3x^10c^10)/(-4(x^3c^2)^-4)	$\frac{3 x^{10} c^{10}}{- 4 {(x^{3} c^{2})}^{- 4}}$
219249	Divide	1/(4/2)	$\frac{1}{\frac{4}{2}}$
219250	Simplify	3-2(-1/2(x-3))	$3 - 2 (- \frac{1}{2} (x - 3))$
219251	Convert to Interval Notation	8-\|2x-1\|>=6	$8 - \| 2 x - 1 \| \geq 6$
219252	Solve for x	2x+3=4x+6-(2x+3)	$2 x + 3 = 4 x + 6 - (2 x + 3)$
219253	Evaluate	i^15i^27i^15*i^8	$i^{15} \cdot i^{27} \cdot i^{15} \cdot i^{8}$
219254	Solve for x	(4x)/(3x+4)=3/7	$\frac{4 x}{3 x + 4} = \frac{3}{7}$
219255	Find the Volume	cylinder (10cm)(5cm)	 $\begin{array}{r} h = & 10 cm \\ r = & 5 cm \end{array}$
219256	Find the Exact Value	(2^5)/(6^5)	$\frac{2^{5}}{6^{5}}$
219257	Solve for m	m^(3/4)=27	$m^{\frac{3}{4}} = 27$
219258	Simplify	1/(a+b)+2/a-3/b	$\frac{1}{a + b} + \frac{2}{a} - \frac{3}{b}$
219259	Solve for x	3 = fourth root of x+4+5	$3 = \sqrt[4]{x + 4} + 5$
219260	Find the Exact Value	cos(10 degrees )^2-sin(10 degrees )^2	$\cos^{2} (10 °) - \sin^{2} (10 °)$
219261	Solve the System of Equations	y=-5/3x+9 y=9	$y = - \frac{5}{3} x + 9$ $y = 9$
219262	Multiply	2*2 square root of 2	$2 \cdot 2 \sqrt{2}$
219263	Evaluate	2^(x-1)=3^(x+1)	$2^{x - 1} = 3^{x + 1}$
219264	Simplify	-(5t^5)/((5t^-5)^2)	$- \frac{5 t^{5}}{{(5 t^{- 5})}^{2}}$
219265	Simplify	(u^2-4v^2)/(u^2+uv-2v^2)	$\frac{u^{2} - 4 v^{2}}{u^{2} + u v - 2 v^{2}}$
219266	Simplify	(16x^2)/(36x^2-1)*(42x-7)/(14x^3)	$\frac{16 x^{2}}{36 x^{2} - 1} \cdot \frac{42 x - 7}{14 x^{3}}$
219267	Describe the Transformation	f(x)=1/3 square root of -x+6	$f (x) = \frac{1}{3} \sqrt{- x} + 6$
219268	Rationalize the Denominator	( square root of 48)/( square root of 14)	$\frac{\sqrt{48}}{\sqrt{14}}$
219269	Evaluate	9(-4/3)^2-8	$9 {(- \frac{4}{3})}^{2} - 8$
219270	Graph	f(x)>-\|x-2\|+4	$f (x) > - \| x - 2 \| + 4$
219271	Solve for x	z=5(x+h)	$z = 5 (x + h)$
219272	Simplify	(3^2)^(-3/2)	${(3^{2})}^{- \frac{3}{2}}$
219273	Simplify	((t^2*t^3)^2)/(t^-3)	$\frac{{(t^{2} \cdot t^{3})}^{2}}{t^{- 3}}$
219274	Simplify	(1/(x+4)-1/x)/4	$\frac{\frac{1}{x + 4} - \frac{1}{x}}{4}$
219275	Solve by Factoring	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
219276	Solve the Absolute Value Inequality for x	square root of 4x^2-12x+9<=9	$\sqrt{4 x^{2} - 12 x + 9} \leq 9$
219277	Evaluate	3(a-2)^2-(2-a)	$3 {(a - 2)}^{2} - (2 - a)$
219278	Solve for x	csc(x)+2=3	$\csc (x) + 2 = 3$
219279	Evaluate	(2+3)^2-6^2+3^2	${(2 + 3)}^{2} - 6^{2} + 3^{2}$
219280	Evaluate	(24^4)/(3^2*8^3)	$\frac{24^{4}}{3^{2} \cdot 8^{3}}$
219281	Evaluate Using the Given Value	x^2-1.78x ; if x=2.78	$x^{2} - 1.78 x$ ; if $x = 2.78$
219282	Solve for x	(x+3)/(x+5)-1/(5-x)=(2x)/(x^2-25)	$\frac{x + 3}{x + 5} - \frac{1}{5 - x} = \frac{2 x}{x^{2} - 25}$
219283	Subtract	(3pi)/2-pi/2	$\frac{3 π}{2} - \frac{π}{2}$
219284	Multiply	(2x+1)(x^3-x)(x^2-3)	$(2 x + 1) (x^{3} - x) (x^{2} - 3)$
219285	Simplify	-3(x^2+x-1)+12	$- 3 (x^{2} + x - 1) + 12$
219286	Simplify	((y^2-9)/(3y))/((y^2+3y)/(2y^3))	$\frac{\frac{y^{2} - 9}{3 y}}{\frac{y^{2} + 3 y}{2 y^{3}}}$
219287	Solve for x	log base 2 of x+ log base 2 of 2x+3=1	$\log_{2} (x) + \log_{2} (2 x + 3) = 1$
219288	Solve Using the Quadratic Formula	4(x^2-x)=x^2-2	$4 (x^{2} - x) = x^{2} - 2$
219289	Describe the Transformation	g(x)=5(1/x)	$g (x) = 5 (\frac{1}{x})$
219290	Solve the Absolute Value Inequality for p	\|7+p\|=7	$\| 7 + p \| = 7$
219291	Solve for x	1/10(x+50)=-3x-13+4x	$\frac{1}{10} (x + 50) = - 3 x - 13 + 4 x$
219292	Find the x and y Intercepts	y=(x)(x+6)(x+1)(x-1)	$y = (x) (x + 6) (x + 1) (x - 1)$
219293	Write in Exponential Form	cube root of ( square root of x^6y^8z)/(125z^(1/2))	$\sqrt[3]{\frac{\sqrt{x^{6} y^{8} z}}{125 z^{\frac{1}{2}}}}$
219294	Solve for x	17-5(2x-9)=-(-6x+10)+4	$17 - 5 (2 x - 9) = - (- 6 x + 10) + 4$
219295	Solve for w	2(12-w)=-2(w-17)-10	$2 (12 - w) = - 2 (w - 17) - 10$
219296	Simplify the Radical Expression	5^-2	$5^{- 2}$
219297	Solve for s	(2 square root of 3)^2 = square root of s	${(2 \sqrt{3})}^{2} = \sqrt{s}$
219298	Simplify	(81-x^2)/(x^2-81)4/(x^2-16x+63)(9x^3+27x^2-630x)/(-x-10)	$\frac{81 - x^{2}}{x^{2} - 81} \cdot \frac{4}{x^{2} - 16 x + 63} \cdot \frac{9 x^{3} + 27 x^{2} - 630 x}{- x - 10}$
219299	Evaluate	46/360(2pi*3)	$\frac{46}{360} (2 π \cdot 3)$
219300	Find the x and y Intercepts	x^3-4x^2+x+6	$x^{3} - 4 x^{2} + x + 6$