Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
213301	Write in y=mx+b Form	(3,-8) and (6,-4)	$(3, - 8)$ and $(6, - 4)$
213302	Find the Exact Value	sec(-420)	$\sec (- 420)$
213303	Write in Exponential Form	1/(( sixth root of n)^5)	$\frac{1}{{(\sqrt[6]{n})}^{5}}$
213304	Solve for x	7 cube root of x-3>=21	$7 \sqrt[3]{x - 3} \geq 21$
213305	Find the Domain and Range	f(x)=(x^3-2x^2-8x)/(3x^2-27)	$f (x) = \frac{x^{3} - 2 x^{2} - 8 x}{3 x^{2} - 27}$
213306	Simplify	3n-1/2*0.3n	$3 n - \frac{1}{2} \cdot 0.3 n$
213307	Write in Standard Form	-3mn(m^2n^3+2mn)	$- 3 m n (m^{2} n^{3} + 2 m n)$
213308	Evaluate	45+27÷3-(4^2+6)	$45 + 27 \div 3 - (4^{2} + 6)$
213309	Graph	y-1/2x=-1	$y - \frac{1}{2} x = - 1$
213310	Evaluate	(2^23^-3)/(2^-13)	$\frac{2^{2} \cdot 3^{- 3}}{2^{- 1} \cdot 3}$
213311	Simplify	(3x^2y^4)^2(-4xy^5)	${(3 x^{2} y^{4})}^{2} (- 4 x y^{5})$
213312	Simplify	y^5y^3-(y^-2)^4	$y^{5} y^{3} - {(y^{- 2})}^{4}$
213313	Solve Using the Square Root Property	3(x+4)^2+47=50	$3 {(x + 4)}^{2} + 47 = 50$
213314	Find the Domain of the Quotient of the Two Functions	f(x)=x^3+12x^2+25x-70 g(x)=x+7	$f (x) = x^{3} + 12 x^{2} + 25 x - 70$ $g (x) = x + 7$
213315	Simplify	5+20-4^2	$5 + 20 - 4^{2}$
213316	Solve the Rational Equation for x	(x^2-x-6)/(x^2)=(x-6)/(2x)+(2x+12)/x	$\frac{x^{2} - x - 6}{x^{2}} = \frac{x - 6}{2 x} + \frac{2 x + 12}{x}$
213317	Simplify	( square root of x^3)/( cube root of x^2)	$\frac{\sqrt{x^{3}}}{\sqrt[3]{x^{2}}}$
213318	Solve the Inequality for f	f-5.2>=1.6	$f - 5.2 \geq 1.6$
213319	Solve for x	-13x^2-9x+4=5+2x^2-x	$- 13 x^{2} - 9 x + 4 = 5 + 2 x^{2} - x$
213320	Solve for p	fourth root of p+2=3	$\sqrt[4]{p + 2} = 3$
213321	Simplify	(3/x-x/3)((3x)/(x^2+6x+9))	$(\frac{3}{x} - \frac{x}{3}) (\frac{3 x}{x^{2} + 6 x + 9})$
213322	Evaluate	2/3(2)^3	$\frac{2}{3} {(2)}^{3}$
213323	Find the LCD	(3x)/(7x+14) and -6/(x+2)	$\frac{3 x}{7 x + 14}$ and $\frac{- 6}{x + 2}$
213324	Multiply	x^2y^-4*x^3y^2	$x^{2} y^{- 4} \cdot x^{3} y^{2}$
213325	Solve for x	6x+9=x^2	$6 x + 9 = x^{2}$
213326	Simplify	(21f^2g^(7/4))/(7(fg^(3/4)))	$\frac{21 f^{2} g^{\frac{7}{4}}}{7 f g^{\frac{3}{4}}}$
213327	Solve for d	d-7=(4d+3)/e	$d - 7 = \frac{4 d + 3}{e}$
213328	Find the x and y Intercepts	f(x)=- natural log of x+5	$f (x) = - \ln (x + 5)$
213329	Solve Using the Quadratic Formula	x^2+12x=7x+1	$x^{2} + 12 x = 7 x + 1$
213330	Rationalize the Denominator	7/(-2+ square root of 13)	$\frac{7}{- 2 + \sqrt{13}}$
213331	Graph	y=-2x(x+1)(x-2)	$y = - 2 x (x + 1) (x - 2)$
213332	Solve for x	(4x-2)/(2x)=7	$\frac{4 x - 2}{2 x} = 7$
213333	Evaluate	4*(1/2)^1	$4 \cdot {(\frac{1}{2})}^{1}$
213334	Write the Fraction in Simplest Form	((5w^-4h^5)^-4)/(4w^2)	$\frac{{(5 w^{- 4} h^{5})}^{- 4}}{4 w^{2}}$
213335	Simplify	((3x^-1)/(9y^2))^-2	${(\frac{3 x^{- 1}}{9 y^{2}})}^{- 2}$
213336	Multiply	(3x^4+2x)*(2x^2-5x+34)	$(3 x^{4} + 2 x) \cdot (2 x^{2} - 5 x + 34)$
213337	Solve for n	square root of n-5=30	$\sqrt{n} - 5 = 30$
213338	Evaluate	1/2pi(2)^2	$\frac{1}{2} π {(2)}^{2}$
213339	Find the Product	(5y-20)/(3y+15)*(7y+35)/(10y+40)	$\frac{5 y - 20}{3 y + 15} \cdot \frac{7 y + 35}{10 y + 40}$
213340	Solve for b	11=5+ square root of 35b+1	$11 = 5 + \sqrt{35 b + 1}$
213341	Solve for b	ab=cde	$a b = c d e$
213342	Simplify/Condense	2 log base b of 2- log base b of 4	$2 \log_{b} (2) - \log_{b} (4)$
213343	Simplify	1/6(2/3)^-2	$\frac{1}{6} {(\frac{2}{3})}^{- 2}$
213344	Solve for x	2y=x-5	$2 y = x - 5$
213345	Simplify	(n^3+2n^2)(n^2-3n+8)	$(n^{3} + 2 n^{2}) (n^{2} - 3 n + 8)$
213346	Solve for x	4(x-3)-(x+6)=3(x-6)	$4 (x - 3) - (x + 6) = 3 (x - 6)$
213347	Find the Roots (Zeros)	(x-3)	$(x - 3)$
213348	Divide	(48a^3bc^2)÷3abc	$48 a^{3} b c^{2} \div 3 a b c$
213349	Solve the Rational Equation for x	square root of x+3=7	$\sqrt{x} + 3 = 7$
213350	Solve the System of Inequalities	x+2y>=4 3x-2y<4	$x + 2 y \geq 4$ $3 x - 2 y < 4$
213351	Graph	sin(theta)<0 , tan(theta)>0	$\sin (θ) < 0$ , $\tan (θ) > 0$
213352	Simplify	-2(3x^2+5x+14)+10	$- 2 (3 x^{2} + 5 x + 14) + 10$
213353	Solve the Inequality for w	w-0.8>-2.4	$w - 0.8 > - 2.4$
213354	Solve the Rational Equation for x	3 cube root of x=12	$3 \sqrt[3]{x} = 12$
213355	Simplify	sin(-60)cos(40)+cos(-60)sin(40)	$\sin (- 60) \cos (40) + \cos (- 60) \sin (40)$
213356	Solve the Inequality for x	sin(2x)>0	$\sin (2 x) > 0$
213357	Rationalize the Denominator	6 square root of 1/3	$6 \sqrt{\frac{1}{3}}$
213358	Divide	(12a^3p^4)÷(-2)a^2p	$12 a^{3} p^{4} \div (- 2) a^{2} p$
213359	Simplify	-n8n	$- n \cdot 8 \cdot n$
213360	Simplify	((15y^5)/(3y^2))^2	${(\frac{15 y^{5}}{3 y^{2}})}^{2}$
213361	Evaluate	x/(2a)=-b plus or minus square root of b^2-4ac	$\frac{x}{2 a} = - b \pm \sqrt{b^{2} - 4 a c}$
213362	Solve by Substitution	-3x-3y=-12 y=0	$- 3 x - 3 y = - 12$ $y = 0$
213363	Simplify	((1-x)/((2x-x^2)^(1/2)))^2	${(\frac{1 - x}{{(2 x - x^{2})}^{\frac{1}{2}}})}^{2}$
213364	Solve for c	cube root of c-1-14=-4	$\sqrt[3]{c - 1} - 14 = - 4$
213365	Simplify	(2x^-2y^4z^-5)^3	${(2 x^{- 2} y^{4} z^{- 5})}^{3}$
213366	Solve for x	-5x-3x+2=-8x+2	$- 5 x - 3 x + 2 = - 8 x + 2$
213367	Find the Domain and Range	f(x)=1/2( cube root of 24-8x)+1	$f (x) = \frac{1}{2} (\sqrt[3]{24 - 8 x}) + 1$
213368	Solve for A	R=x(A+B)	$R = x (A + B)$
213369	Solve for g	square root of 5g=20	$\sqrt[2]{5 g} = 20$
213370	Simplify	(3x)/(4x)+(3x)/(x^2)	$\frac{3 x}{4 x} + \frac{3 x}{x^{2}}$
213371	Solve for x	y=x^5	$y = x^{5}$
213372	Simplify	fourth root of 81x^4* cube root of 27x^11	$\sqrt[4]{81 x^{4}} \cdot \sqrt[3]{27 x^{11}}$
213373	Simplify	(2xy)/((x^(1/3)y^(2/3))^(3/2))	$\frac{2 x y}{{(x^{\frac{1}{3}} y^{\frac{2}{3}})}^{\frac{3}{2}}}$
213374	Solve for x	fifth root of 7x+4 = fifth root of 3x-14	$\sqrt[5]{7 x + 4} = \sqrt[5]{3 x - 14}$
213375	Solve for Y	AE=3600-0.8Y	$A E = 3600 - 0.8 Y$
213376	Solve for x	3 square root of x-2+7=19	$3 \sqrt{x - 2 + 7} = 19$
213377	Factor	108x^2y^3z-147yz^3	$108 x^{2} y^{3} z - 147 y z^{3}$
213378	Solve for x	square root of 4-x+4=10-x	$\sqrt{4 - x} + 4 = 10 - x$
213379	Solve the Inequality for x	3x+y>=6	$3 x + y \geq 6$
213380	Solve the Inequality for x	-x^2+20x-24>9x	$- x^{2} + 20 x - 24 > 9 x$
213381	Simplify	((t^2+3t-8)-(t^2-2t+6))(t-4)	$((t^{2} + 3 t - 8) - (t^{2} - 2 t + 6)) (t - 4)$
213382	Simplify	((x^4+x^3-30x^2)/(x^2-3x-18))÷((x^3+x^2-30x)/(x^2-36))	$\frac{x^{4} + x^{3} - 30 x^{2}}{x^{2} - 3 x - 18} \div \frac{x^{3} + x^{2} - 30 x}{x^{2} - 36}$
213383	Simplify	( square root of 18x^3y)/( square root of 2x^4y^2)	$\frac{\sqrt{18 x^{3} y}}{\sqrt{2 x^{4} y^{2}}}$
213384	Find the x and y Intercepts	f(x)=2- square root of x+1	$f (x) = 2 - \sqrt{x + 1}$
213385	Simplify	((p^3q^4r^2)/(p^2qr^4))^-1	${(\frac{p^{3} q^{4} r^{2}}{p^{2} q r^{4}})}^{- 1}$
213386	Simplify the Radical Expression	7 cube root of 8x^2y+2 cube root of 27x^5y^4	$7 \sqrt[3]{8 x^{2} y} + 2 \sqrt[3]{27 x^{5} y^{4}}$
213387	Simplify	2(5a+2b)-a	$2 (5 a + 2 b) - a$
213388	Evaluate	(d-9)-(3d-1)	$(d - 9) - (3 d - 1)$
213389	Solve the Inequality for x	6-2(x-4)>=5(1-x)	$6 - 2 (x - 4) \geq 5 (1 - x)$
213390	Divide Using Long Polynomial Division	(4x^3-x^2+3)/x	$\frac{4 x^{3} - x^{2} + 3}{x}$
213391	Factor	(2x-3)^2-(3x+2)^2	${(2 x - 3)}^{2} - {(3 x + 2)}^{2}$
213392	Simplify	2/(1/3+1/5)	$\frac{2}{\frac{1}{3} + \frac{1}{5}}$
213393	Simplify	(-5^-2x^3)^-1	${(- 5^{- 2} x^{3})}^{- 1}$
213394	Solve for x	16^x>2^24^38^4	$16^{x} > 2^{2} \cdot 4^{3} \cdot 8^{4}$
213395	Divide Using Synthetic Division	Use synthetic division to find the result when 2x^3+3x^2-6x-16 is divided by x-2	Use synthetic division to find the result when $2 x^{3} + 3 x^{2} - 6 x - 16$ is divided by $x - 2$
213396	Find the Complex Conjugate	(3-2i)/(5i)	$\frac{3 - 2 i}{5 i}$
213397	Solve the System of Equations	2d-e=7 d+e=5	$2 d - e = 7$ $d + e = 5$
213398	Simplify the Radical Expression	(3 square root of 2xy)^3	${(3 \sqrt{2 x y})}^{3}$
213399	Factor	x^2-14x+49+4x^9-28x^8	$x^{2} - 14 x + 49 + 4 x^{9} - 28 x^{8}$
213400	Convert to a Decimal	cos(585)deg	$\cos (585)$ degrees