Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
217301	Solve for y	4x-2y=12x	$4 x - 2 y = 12 x$
217302	Find the LCD	1/(3x+7) and 3/(7x)	$\frac{1}{3 x + 7}$ and $\frac{3}{7 x}$
217303	Graph	Graph 12x-9y=36	Graph $12 x - 9 y = 36$
217304	Multiply	(2x^2+x+2)(x^2-2x+3)	$(2 x^{2} + x + 2) (x^{2} - 2 x + 3)$
217305	Solve the Inequality for x	-3<-1/5(9x+1)+x	$- 3 < - \frac{1}{5} (9 x + 1) + x$
217306	Evaluate	((6-1)^3)/(-5(3+2))	$\frac{{(6 - 1)}^{3}}{- 5 (3 + 2)}$
217307	Simplify	4/(b-4)+3/(3b^2-18b)	$\frac{4}{b - 4} + \frac{3}{3 b^{2} - 18 b}$
217308	Evaluate	g/(e^2)-r=m-y	$\frac{g}{e^{2}} - r = m - y$
217309	Find the Product	(x^2-5x)/(x^2-3x)*(x+3)/(x-5)	$\frac{x^{2} - 5 x}{x^{2} - 3 x} \cdot \frac{x + 3}{x - 5}$
217310	Find the Midpoint	P_1=(2,-6) , P_2=(4,6)	$P_{1} = (2, - 6)$ , $P_{2} = (4, 6)$
217311	Solve for k	-3-0.1k=0.4k	$- 3 - 0.1 k = 0.4 k$
217312	Solve for x	4x-(4-x)=5x	$4 x - (4 - x) = 5 x$
217313	Solve for x	\|x-3\|=2\|x\|	$\| x - 3 \| = 2 \| x \|$
217314	Evaluate	(x^-3y^-3)/(x^-8y^2)	$\frac{x^{- 3} y^{- 3}}{x^{- 8} y^{2}}$
217315	Evaluate	8(-3)-(-2)^2*4	$8 (- 3) - {(- 2)}^{2} \cdot 4$
217316	Solve the Inequality for x	20-4/5x>=16	$20 - \frac{4}{5} x \geq 16$
217317	Describe the Transformation	y=2 cube root of x-4	$y = 2 \sqrt[3]{x - 4}$
217318	Simplify	(2x-2y+1)-(3y+4x)	$(2 x - 2 y + 1) - (3 y + 4 x)$
217319	Write in Slope-Intercept Form	(2,-2) and (8,1)	$(2, - 2)$ and $(8, 1)$
217320	Simplify	(17^16)/(17^-3)	$\frac{17^{16}}{17^{- 3}}$
217321	Graph	y<2x-1 y>2-x	$y < 2 x - 1$ $y > 2 - x$
217322	Find the Holes in the Graph	(x-2)/(x-4)	$\frac{x - 2}{x - 4}$
217323	Divide Using Long Polynomial Division	(2x^4-3x^3-20x^2+72x-63)/(2x-3)	$\frac{(2 x^{4} - 3 x^{3} - 20 x^{2} + 72 x - 63)}{2 x - 3}$
217324	Simplify	(7x^3+4x^2+2x)/(x^2)	$\frac{7 x^{3} + 4 x^{2} + 2 x}{x^{2}}$
217325	Solve the Inequality for x	x>x	$x > x$
217326	Convert to a Decimal	16 dogs to 12 cats	$16$ dogs to $12$ cats
217327	Write Using Positive Exponents	-4^-2	$- 4^{- 2}$
217328	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 $x + 3$
217329	Multiply	cube root of 7* cube root of 20* cube root of 14* cube root of 98	$\sqrt[3]{7} \cdot \sqrt[3]{20} \cdot \sqrt[3]{14} \cdot \sqrt[3]{98}$
217330	Simplify	(x^2-13x+36)+(x-9)	$(x^{2} - 13 x + 36) + (x - 9)$
217331	Solve for x	(3x-1)/(x-2)+3=x/(x-2)	$\frac{3 x - 1}{x - 2} + 3 = \frac{x}{x - 2}$
217332	Simplify	(a^-7*a^4)÷(a^-3)	$a^{- 7} \cdot a^{4} \div a^{- 3}$
217333	Factor by Grouping	a^3-m^3n^9	$a^{3} - m^{3} n^{9}$
217334	Solve by Substitution	5x-y=-5 and 3x-6y=24	$5 x - y = - 5$ and $3 x - 6 y = 24$
217335	Find the Domain and Range	3x+5y-8=0	$3 x + 5 y - 8 = 0$
217336	Simplify	m/(m^2-4)+2/(3m+6)	$\frac{m}{m^{2} - 4} + \frac{2}{3 m + 6}$
217337	Solve for x	fourth root of 39-2x = fourth root of 2x-9	$\sqrt[4]{39 - 2 x} = \sqrt[4]{2 x - 9}$
217338	Simplify	(x+1)/x*5x^3	$\frac{x + 1}{x} \cdot 5 x^{3}$
217339	Solve the Inequality for x	(1/8)^(x-6)<4^(4x+5)	${(\frac{1}{8})}^{x - 6} < 4^{4 x + 5}$
217340	Find the Exact Value	cos(630 degrees )	$\cos (630 °)$
217341	Simplify	4+5y-3y-4+3y+2	$4 + 5 y - 3 y - 4 + 3 y + 2$
217342	Simplify	(17k+3)/(8k+4)+(3k+7)/(8k+4)	$\frac{17 k + 3}{8 k + 4} + \frac{3 k + 7}{8 k + 4}$
217343	Simplify	(2a^2b^5c)/(4ab^2c)	$\frac{2 a^{2} b^{5} c}{4 a b^{2} c}$
217344	Convert to a Decimal	289mi on 10gal	$289 miles$ on $10 gallons$
217345	Factor	x^(3/2)-4x^(-1/2)	$x^{\frac{3}{2}} - 4 x^{- \frac{1}{2}}$
217346	Solve the Inequality for x	x/1+5>5	$\frac{x}{1} + 5 > 5$
217347	Evaluate the Function	f(12)=2/3x+3	$f (12) = \frac{2}{3} x + 3$
217348	Determine if (0,0) is a Solution	y>=-2/5x+4 , (0,0)	$y \geq - \frac{2}{5} x + 4$ , $(0, 0)$
217349	Solve the Inequality for x	126<9(x+3)	$126 < 9 (x + 3)$
217350	Find the LCD	3/(2(x+12)) , 5/(8(x+12))	$\frac{3}{2 (x + 12)}$ , $\frac{5}{8 (x + 12)}$
217351	Solve for h	-1/2=-5/18h	$- \frac{1}{2} = - \frac{5}{18} h$
217352	Find the Focus	y=(x+3)^2-4	$y = {(x + 3)}^{2} - 4$
217353	Solve for x	\| square root of x-4\|=2	$\| \sqrt{x} - 4 \| = 2$
217354	Evaluate	(2-3i)^-1	${(2 - 3 i)}^{- 1}$
217355	Simplify	(x^2-7x+10)/(2x^5)*(6x^3)/(3x-15)	$\frac{x^{2} - 7 x + 10}{2 x^{5}} \cdot \frac{6 x^{3}}{3 x - 15}$
217356	Simplify	cube root of fourth root of 256	$\sqrt[3]{\sqrt[4]{256}}$
217357	Subtract	(6x^3-4x^2+x-9)-(3x^2+7x+3)	$(6 x^{3} - 4 x^{2} + x - 9) - (3 x^{2} + 7 x + 3)$
217358	Solve for x	(x^2+1)^-2=2-(x^2+1)^-2	${(x^{2} + 1)}^{- 2} = 2 - {(x^{2} + 1)}^{- 2}$
217359	Solve for x	(2x)/(x+1)+3/(x-1)=(3x)/(x-1)	$\frac{2 x}{x + 1} + \frac{3}{x - 1} = \frac{3 x}{x - 1}$
217360	Simplify	(x^2)/(x^4)-(x^2)^2	$\frac{x^{2}}{x^{4}} - {(x^{2})}^{2}$
217361	Solve for m	cube root of a=a^m	$\sqrt[3]{a} = a^{m}$
217362	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 $\frac{1}{3}$ ?
217363	Solve for m	-2>m/6-7	$- 2 > \frac{m}{6} - 7$
217364	Evaluate	13/5213/5226/52	$\frac{13}{52} \cdot \frac{13}{52} \cdot \frac{26}{52}$
217365	Solve for u	\|(5u)/4-7\|+3=8	$\| \frac{5 u}{4} - 7 \| + 3 = 8$
217366	Find the Domain and Range	y=3sin(x/2-pi)-5	$y = 3 \sin (\frac{x}{2} - π) - 5$
217367	Factor	-16p^3q^2+24p^2q^3-32p^4q	$- 16 p^{3} q^{2} + 24 p^{2} q^{3} - 32 p^{4} q$
217368	Simplify	(x/9-p/18)/p	$\frac{\frac{x}{9} - \frac{p}{18}}{p}$
217369	Simplify	fifth root of 4x^6* fifth root of 8x^4	$\sqrt[5]{4 x^{6}} \cdot \sqrt[5]{8 x^{4}}$
217370	Simplify	(54x^8y^-3)/(-6x^6y^-5)	$\frac{54 x^{8} y^{- 3}}{- 6 x^{6} y^{- 5}}$
217371	Solve the Rational Equation for x	square root of x+11=x+5	$\sqrt{x} + 11 = x + 5$
217372	Solve for d	A=pi(d/2)^2	$A = π {(\frac{d}{2})}^{2}$
217373	Evaluate	(6+- square root of 36-(4)25)/4	$\frac{6 + - \sqrt{36 - (4) \cdot 2 \cdot 5}}{4}$
217374	Convert to a Decimal	cos(315)deg	$\cos (315)$ degrees
217375	Evaluate Using the Given Value	1 , 125=9x^3	$1$ , $125 = 9 x^{3}$
217376	Simplify	(1-x^2)/(x(1-x))	$\frac{1 - x^{2}}{x (1 - x)}$
217377	Solve the Rational Equation for y	square root of 2y+3+4=2	$\sqrt{2 y + 3} + 4 = 2$
217378	Simplify	(8-2i)+(13+i)-(1-5i)	$(8 - 2 i) + (13 + i) - (1 - 5 i)$
217379	Solve for t	p(t)=5000+1000t^2	$p (t) = 5000 + 1000 t^{2}$
217380	Solve for b	a=1/2(b-c)	$a = \frac{1}{2} (b - c)$
217381	Graph	7 square root of 3x+9-12<=30	$7 \sqrt{3 x + 9} - 12 \leq 30$
217382	Solve for y	(y^2-17)^2-16(y^2-17)=-64	${(y^{2} - 17)}^{2} - 16 (y^{2} - 17) = - 64$
217383	Evaluate	(3^-2a^-1)/(9^-1b^-2c^0)	$\frac{3^{- 2} a^{- 1}}{9^{- 1} b^{- 2} c^{0}}$
217384	Find the Inverse	f(x)=b(x+a)^3+c	$f (x) = b {(x + a)}^{3} + c$
217385	Write as a Single Logarithm	log base 2 of x+ log base 2 of x+ log base 2 of 4	$\log_{2} (x) + \log_{2} (x) + \log_{2} (4)$
217386	Find the Exact Value	tan(70 degrees )-(sin(70 degrees ))/(cos(70 degrees ))	$\tan (70 °) - \frac{\sin (70 °)}{\cos (70 °)}$
217387	Evaluate	square root of 144(x+9)^10	$\sqrt{144 {(x + 9)}^{10}}$
217388	Simplify	log base 8 of (1/64)^3	$\log_{8} ({(\frac{1}{64})}^{3})$
217389	Simplify	(x^4y)^(1/2)+(xy^(1/4))^2	${(x^{4} y)}^{\frac{1}{2}} + {(x y^{\frac{1}{4}})}^{2}$
217390	Simplify	(2x+5)/(x^3)-(x+2)/(x^2)	$\frac{2 x + 5}{x^{3}} - \frac{x + 2}{x^{2}}$
217391	Graph	y=2x y=-2x+8	$y = 2 x$ $y = - 2 x + 8$
217392	Write in y=mx+b Form	(-10,-7) and (-5,-9)	$(- 10, - 7)$ and $(- 5, - 9)$
217393	Solve the Inequality for x	2<3x-4<=19	$2 < 3 x - 4 \leq 19$
217394	Simplify	( sixth root of s^4t^9)/( cube root of st)	$\frac{\sqrt[6]{s^{4} t^{9}}}{\sqrt[3]{s t}}$
217395	Solve the System of Equations	8-2d=c 4c+3d=2	$8 - 2 d = c$ $4 c + 3 d = 2$
217396	Write the Fraction in Simplest Form	(15d^-9t^4)/((5d^-3t)^-2)	$\frac{15 d^{- 9} t^{4}}{{(5 d^{- 3} t)}^{- 2}}$
217397	Simplify	4^3x^2(4/x)^-2	$4^{3} \cdot x^{2} \cdot {(\frac{4}{x})}^{- 2}$
217398	Solve for a	a^2+11a=-18	$a^{2} + 11 a = - 18$
217399	Write in Standard Form	(8-2i^4)+(3-7i^8)-(4+i^9)	$(8 - 2 i^{4}) + (3 - 7 i^{8}) - (4 + i^{9})$
217400	Find the Product	(w+5)(w^2+3w)	$(w + 5) (w^{2} + 3 w)$