Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217301	Solve the Inequality for x	20-4/5x>=16	$20 - \frac{4}{5} x \geq 16$
217302	Describe the Transformation	y=2 cube root of x-4	$y = 2 \sqrt[3]{x - 4}$
217303	Simplify	(2x-2y+1)-(3y+4x)	$(2 x - 2 y + 1) - (3 y + 4 x)$
217304	Write in Slope-Intercept Form	(2,-2) and (8,1)	$(2, - 2)$ and $(8, 1)$
217305	Simplify	(17^16)/(17^-3)	$\frac{17^{16}}{17^{- 3}}$
217306	Graph	y<2x-1 y>2-x	$y < 2 x - 1$ $y > 2 - x$
217307	Find the Holes in the Graph	(x-2)/(x-4)	$\frac{x - 2}{x - 4}$
217308	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)/(2x-3)	$\frac{(2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63)}{2 x - 3}$
217309	Simplify	(7x^3+4x^2+2x)/(x^2)	$\frac{7 x^{3} + 4 x^{2} + 2 x}{x^{2}}$
217310	Solve the Inequality for x	x>x	$x > x$
217311	Convert to a Decimal	16 dogs to 12 cats	$16$ dogs to $12$ cats
217312	Write Using Positive Exponents	-4^-2	$- 4^{- 2}$
217313	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+19x^3+25x^2-24x-27 is divided by x+3	Use synthetic division to find the result when $3 x^{4} + 19 x^{3} + 25 x^{2} - 24 x - 27$ is divided by $x + 3$
217314	Multiply	cube root of 7* cube root of 20* cube root of 14* cube root of 98	$\sqrt[3]{7} \cdot \sqrt[3]{20} \cdot \sqrt[3]{14} \cdot \sqrt[3]{98}$
217315	Simplify	(x^2-13x+36)+(x-9)	$(x^{2} - 13 x + 36) + (x - 9)$
217316	Solve for x	(3x-1)/(x-2)+3=x/(x-2)	$\frac{3 x - 1}{x - 2} + 3 = \frac{x}{x - 2}$
217317	Simplify	(a^-7*a^4)÷(a^-3)	$a^{- 7} \cdot a^{4} \div a^{- 3}$
217318	Factor by Grouping	a^3-m^3n^9	$a^{3} - m^{3} n^{9}$
217319	Solve by Substitution	5x-y=-5 and 3x-6y=24	$5 x - y = - 5$ and $3 x - 6 y = 24$
217320	Find the Domain and Range	3x+5y-8=0	$3 x + 5 y - 8 = 0$
217321	Simplify	m/(m^2-4)+2/(3m+6)	$\frac{m}{m^{2} - 4} + \frac{2}{3 m + 6}$
217322	Solve for x	fourth root of 39-2x = fourth root of 2x-9	$\sqrt[4]{39 - 2 x} = \sqrt[4]{2 x - 9}$
217323	Simplify	(x+1)/x*5x^3	$\frac{x + 1}{x} \cdot 5 x^{3}$
217324	Solve the Inequality for x	(1/8)^(x-6)<4^(4x+5)	${(\frac{1}{8})}^{x - 6} < 4^{4 x + 5}$
217325	Find the Exact Value	cos(630 degrees )	$\cos (630 °)$
217326	Simplify	4+5y-3y-4+3y+2	$4 + 5 y - 3 y - 4 + 3 y + 2$
217327	Simplify	(17k+3)/(8k+4)+(3k+7)/(8k+4)	$\frac{17 k + 3}{8 k + 4} + \frac{3 k + 7}{8 k + 4}$
217328	Simplify	(2a^2b^5c)/(4ab^2c)	$\frac{2 a^{2} b^{5} c}{4 a b^{2} c}$
217329	Convert to a Decimal	289mi on 10gal	$289 miles$ on $10 gallons$
217330	Factor	x^(3/2)-4x^(-1/2)	$x^{\frac{3}{2}} - 4 x^{- \frac{1}{2}}$
217331	Solve the Inequality for x	x/1+5>5	$\frac{x}{1} + 5 > 5$
217332	Evaluate the Function	f(12)=2/3x+3	$f (12) = \frac{2}{3} x + 3$
217333	Determine if (0,0) is a Solution	y>=-2/5x+4 , (0,0)	$y \geq - \frac{2}{5} x + 4$ , $(0, 0)$
217334	Solve the Inequality for x	126<9(x+3)	$126 < 9 (x + 3)$
217335	Find the LCD	3/(2(x+12)) , 5/(8(x+12))	$\frac{3}{2 (x + 12)}$ , $\frac{5}{8 (x + 12)}$
217336	Solve for h	-1/2=-5/18h	$- \frac{1}{2} = - \frac{5}{18} h$
217337	Find the Focus	y=(x+3)^2-4	$y = {(x + 3)}^{2} - 4$
217338	Solve for x	\| square root of x-4\|=2	$\| \sqrt{x} - 4 \| = 2$
217339	Evaluate	(2-3i)^-1	${(2 - 3 i)}^{- 1}$
217340	Simplify	(x^2-7x+10)/(2x^5)*(6x^3)/(3x-15)	$\frac{x^{2} - 7 x + 10}{2 x^{5}} \cdot \frac{6 x^{3}}{3 x - 15}$
217341	Simplify	cube root of fourth root of 256	$\sqrt[3]{\sqrt[4]{256}}$
217342	Subtract	(6x^3-4x^2+x-9)-(3x^2+7x+3)	$(6 x^{3} - 4 x^{2} + x - 9) - (3 x^{2} + 7 x + 3)$
217343	Solve for x	(x^2+1)^-2=2-(x^2+1)^-2	${(x^{2} + 1)}^{- 2} = 2 - {(x^{2} + 1)}^{- 2}$
217344	Solve for x	(2x)/(x+1)+3/(x-1)=(3x)/(x-1)	$\frac{2 x}{x + 1} + \frac{3}{x - 1} = \frac{3 x}{x - 1}$
217345	Simplify	(x^2)/(x^4)-(x^2)^2	$\frac{x^{2}}{x^{4}} - {(x^{2})}^{2}$
217346	Solve for m	cube root of a=a^m	$\sqrt[3]{a} = a^{m}$
217347	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,7) and has a slope of 1/3 ?	What is the equation of the line that passes through the point $(- 3, 7)$ and has a slope of $\frac{1}{3}$ ?
217348	Solve for m	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
217349	Evaluate	13/5213/5226/52	$\frac{13}{52} \cdot \frac{13}{52} \cdot \frac{26}{52}$
217350	Solve for u	\|(5u)/4-7\|+3=8	$\| \frac{5 u}{4} - 7 \| + 3 = 8$
217351	Find the Domain and Range	y=3sin(x/2-pi)-5	$y = 3 \sin (\frac{x}{2} - π) - 5$
217352	Factor	-16p^3q^2+24p^2q^3-32p^4q	$- 16 p^{3} q^{2} + 24 p^{2} q^{3} - 32 p^{4} q$
217353	Simplify	(x/9-p/18)/p	$\frac{\frac{x}{9} - \frac{p}{18}}{p}$
217354	Simplify	fifth root of 4x^6* fifth root of 8x^4	$\sqrt[5]{4 x^{6}} \cdot \sqrt[5]{8 x^{4}}$
217355	Simplify	(54x^8y^-3)/(-6x^6y^-5)	$\frac{54 x^{8} y^{- 3}}{- 6 x^{6} y^{- 5}}$
217356	Solve the Rational Equation for x	square root of x+11=x+5	$\sqrt{x} + 11 = x + 5$
217357	Solve for d	A=pi(d/2)^2	$A = π {(\frac{d}{2})}^{2}$
217358	Evaluate	(6+- square root of 36-(4)25)/4	$\frac{6 + - \sqrt{36 - (4) \cdot 2 \cdot 5}}{4}$
217359	Convert to a Decimal	cos(315)deg	$\cos (315)$ degrees
217360	Evaluate Using the Given Value	1 , 125=9x^3	$1$ , $125 = 9 x^{3}$
217361	Simplify	(1-x^2)/(x(1-x))	$\frac{1 - x^{2}}{x (1 - x)}$
217362	Solve the Rational Equation for y	square root of 2y+3+4=2	$\sqrt{2 y + 3} + 4 = 2$
217363	Simplify	(8-2i)+(13+i)-(1-5i)	$(8 - 2 i) + (13 + i) - (1 - 5 i)$
217364	Solve for t	p(t)=5000+1000t^2	$p (t) = 5000 + 1000 t^{2}$
217365	Solve for b	a=1/2(b-c)	$a = \frac{1}{2} (b - c)$
217366	Graph	7 square root of 3x+9-12<=30	$7 \sqrt{3 x + 9} - 12 \leq 30$
217367	Solve for y	(y^2-17)^2-16(y^2-17)=-64	${(y^{2} - 17)}^{2} - 16 (y^{2} - 17) = - 64$
217368	Evaluate	(3^-2a^-1)/(9^-1b^-2c^0)	$\frac{3^{- 2} a^{- 1}}{9^{- 1} b^{- 2} c^{0}}$
217369	Find the Inverse	f(x)=b(x+a)^3+c	$f (x) = b {(x + a)}^{3} + c$
217370	Write as a Single Logarithm	log base 2 of x+ log base 2 of x+ log base 2 of 4	$\log_{2} (x) + \log_{2} (x) + \log_{2} (4)$
217371	Find the Exact Value	tan(70 degrees )-(sin(70 degrees ))/(cos(70 degrees ))	$\tan (70 °) - \frac{\sin (70 °)}{\cos (70 °)}$
217372	Evaluate	square root of 144(x+9)^10	$\sqrt{144 {(x + 9)}^{10}}$
217373	Simplify	log base 8 of (1/64)^3	$\log_{8} ({(\frac{1}{64})}^{3})$
217374	Simplify	(x^4y)^(1/2)+(xy^(1/4))^2	${(x^{4} y)}^{\frac{1}{2}} + {(x y^{\frac{1}{4}})}^{2}$
217375	Simplify	(2x+5)/(x^3)-(x+2)/(x^2)	$\frac{2 x + 5}{x^{3}} - \frac{x + 2}{x^{2}}$
217376	Graph	y=2x y=-2x+8	$y = 2 x$ $y = - 2 x + 8$
217377	Write in y=mx+b Form	(-10,-7) and (-5,-9)	$(- 10, - 7)$ and $(- 5, - 9)$
217378	Solve the Inequality for x	2<3x-4<=19	$2 < 3 x - 4 \leq 19$
217379	Simplify	( sixth root of s^4t^9)/( cube root of st)	$\frac{\sqrt[6]{s^{4} t^{9}}}{\sqrt[3]{s t}}$
217380	Solve the System of Equations	8-2d=c 4c+3d=2	$8 - 2 d = c$ $4 c + 3 d = 2$
217381	Write the Fraction in Simplest Form	(15d^-9t^4)/((5d^-3t)^-2)	$\frac{15 d^{- 9} t^{4}}{{(5 d^{- 3} t)}^{- 2}}$
217382	Simplify	4^3x^2(4/x)^-2	$4^{3} \cdot x^{2} \cdot {(\frac{4}{x})}^{- 2}$
217383	Solve for a	a^2+11a=-18	$a^{2} + 11 a = - 18$
217384	Write in Standard Form	(8-2i^4)+(3-7i^8)-(4+i^9)	$(8 - 2 i^{4}) + (3 - 7 i^{8}) - (4 + i^{9})$
217385	Find the Product	(w+5)(w^2+3w)	$(w + 5) (w^{2} + 3 w)$
217386	Solve for x	2xe^(2x)+e^(2x)=0	$2 x e^{2 x} + e^{2 x} = 0$
217387	Evaluate the Function	f(-5)=3x^4+x^3-2x^2+x+12	$f (- 5) = 3 x^{4} + x^{3} - 2 x^{2} + x + 12$
217388	Multiply	(w+5)(w^2+3w)	$(w + 5) (w^{2} + 3 w)$
217389	Find the Equation Using Point-Slope Formula	(9,-2) and (-3,2)	$(9, - 2)$ and $(- 3, 2)$
217390	Solve for y	x=1/3( fourth root of y)	$x = \frac{1}{3} (\sqrt[4]{y})$
217391	Factor	x^2y-3x^2+5xy-15x	$x^{2} y - 3 x^{2} + 5 x y - 15 x$
217392	Find the Exact Value	3 2/5+4/3	$3 \frac{2}{5} + \frac{4}{3}$
217393	Simplify	square root of 3+ square root of 5-4 square root of 3+6 square root of 5	$\sqrt{3} + \sqrt{5} - 4 \sqrt{3} + 6 \sqrt{5}$
217394	Solve for x	1-2/(x-6)=(3x+2)/(x^2-36)	$1 - \frac{2}{x - 6} = \frac{3 x + 2}{x^{2} - 36}$
217395	Write the Fraction in Simplest Form	(3a^9r^-3)/(-4(a^2)^-1)	$\frac{3 a^{9} r^{- 3}}{- 4 {(a^{2})}^{- 1}}$
217396	Simplify	((y+2)/(4y^2))/((3y+6)/(2y^3))	$\frac{\frac{y + 2}{4 y^{2}}}{\frac{3 y + 6}{2 y^{3}}}$
217397	Solve the Inequality for p	p/8>=-5	$\frac{p}{8} \geq - 5$
217398	Divide	( square root of 200)÷( square root of 5)	$\sqrt{200} \div \sqrt{5}$
217399	Subtract	(4x^2+x-5)-(5x^2-1)	$(4 x^{2} + x - 5) - (5 x^{2} - 1)$
217400	Simplify the Radical Expression	(p^(3/2))^-2	${(p^{\frac{3}{2}})}^{- 2}$