Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
237201	Simplify	(6r+2+8r^3)-(5r^3-11-8r^5)-(6r+9r^5)	$(6 r + 2 + 8 r^{3}) - (5 r^{3} - 11 - 8 r^{5}) - (6 r + 9 r^{5})$
237202	Graph	(y^3)/16-x^2=1	$\frac{y^{3}}{16} - x^{2} = 1$
237203	Simplify	((4t^2-16)/8)/((t-2)/6)	$\frac{\frac{4 t^{2} - 16}{8}}{\frac{t - 2}{6}}$
237204	Solve the Rational Equation for v	9/(v-3)-5/(v+1)=28/(v^2-2v-3)	$\frac{9}{v - 3} - \frac{5}{v + 1} = \frac{28}{v^{2} - 2 v - 3}$
237205	Evaluate	243/5-486/3+243	$\frac{243}{5} - \frac{486}{3} + 243$
237206	Find the Exact Value	csc(pi/2)^2	$\csc^{2} (\frac{π}{2})$
237207	Simplify	( fifth root of r^6)/( cube root of r^2)	$\frac{\sqrt[5]{r^{6}}}{\sqrt[3]{r^{2}}}$
237208	Find a,b,c	((x-2)^2)/9-((y-1)^2)/4=1	$\frac{{(x - 2)}^{2}}{9} - \frac{{(y - 1)}^{2}}{4} = 1$
237209	Graph	y<-x+2 y<3	$y < - x + 2$ $y < 3$
237210	Solve the Inequality for y	2x+3y<15	$2 x + 3 y < 15$
237211	Simplify	((x^2+x-20)/(4x^2-40x+96)*3/(25-x^2))÷((x+6)/(36-x^2))	$\frac{x^{2} + x - 20}{4 x^{2} - 40 x + 96} \cdot \frac{3}{25 - x^{2}} \div \frac{x + 6}{36 - x^{2}}$
237212	Solve for θ	2cos(theta)^2=2+sin(theta)	$2 \cos^{2} (θ) = 2 + \sin (θ)$
237213	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+14x^2+16x+5 is divided by 2x+1	Use the long division method to find the result when $4 x^{3} + 14 x^{2} + 16 x + 5$ is divided by $2 x + 1$
237214	Graph	y<-6/5x+6 y<3/4x+1	$y < - \frac{6}{5} x + 6$ $y < \frac{3}{4} x + 1$
237215	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-8,3) and has a slope of -1/4 ?	What is the equation of the line that passes through the point $(- 8, 3)$ and has a slope of $- \frac{1}{4}$ ?
237216	Simplify the Radical Expression	-5 square root of x^3	$- 5 \sqrt{x^{3}}$
237217	Simplify	(-3x^2y^2)(-3xy)^2	$(- 3 x^{2} y^{2}) {(- 3 x y)}^{2}$
237218	Simplify the Radical Expression	2 square root of 45-4 square root of 135-2 square root of 80+2 square root of 60	$2 \sqrt{45} - 4 \sqrt{135} - 2 \sqrt{80} + 2 \sqrt{60}$
237219	Find the Roots (Zeros)	3x^2=12-5x	$3 x^{2} = 12 - 5 x$
237220	Solve for x	x^4=5x^3-9x^2	$x^{4} = 5 x^{3} - 9 x^{2}$
237221	Solve for x	35=12cos(66pix)+40	$35 = 12 \cos (66 π x) + 40$
237222	Find the Exact Value	(tan(pi/3))/2-1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} - \frac{1}{\sec (\frac{π}{6})}$
237223	Solve the System of Equations	-6x+8y+3z=9 -6x+y+5z=2 x+2y-z=5	$- 6 x + 8 y + 3 z = 9$ $- 6 x + y + 5 z = 2$ $x + 2 y - z = 5$
237224	Round to the Nearest Whole Number	1/2	$\frac{1}{2}$
237225	Solve the Inequality for x	x^3-2x^2>15x	$x^{3} - 2 x^{2} > 15 x$
237226	Solve for b	-4+3b^2=143	$- 4 + 3 b^{2} = 143$
237227	Evaluate	cube root of 5* cube root of 5^5	$\sqrt[3]{5} \cdot \sqrt[3]{5^{5}}$
237228	Solve for p	4/(p+2)=1/(p^2+2p)+1/p	$\frac{4}{p + 2} = \frac{1}{p^{2} + 2 p} + \frac{1}{p}$
237229	Solve Using the Quadratic Formula	x^2=m	$x^{2} = m$
237230	Graph	f^-1(x)=-(x^2)/3+4/3	$f^{- 1} (x) = - \frac{x^{2}}{3} + \frac{4}{3}$
237231	Simplify	2x^3-4x^2+7x+1-x^3+2x^2+3x-5	$2 x^{3} - 4 x^{2} + 7 x + 1 - x^{3} + 2 x^{2} + 3 x - 5$
237232	Find the Excluded Values	(x-3)/(x^2-64)+11/(x^2-64)	$\frac{x - 3}{x^{2} - 64} + \frac{11}{x^{2} - 64}$
237233	Solve for x	log of 2+ log of x-4 = log of 3x+8	$\log (2) + \log (x - 4) = \log (3 x + 8)$
237234	Evaluate	(3^-4*3^2)/3	$\frac{3^{- 4} \cdot 3^{2}}{3}$
237235	Solve for θ	tan(theta)>0	$\tan (θ) > 0$
237236	Solve for x	-(2x)^2+1=-3	$- {(2 x)}^{2} + 1 = - 3$
237237	Simplify	(-15a^0bc^2)/(-60a^-8b^-6c^0)	$\frac{- 15 a^{0} b c^{2}}{- 60 a^{- 8} b^{- 6} c^{0}}$
237238	Simplify	(3 square root of 2)	$(3 \sqrt{2})$
237239	Solve by Addition/Elimination	-x-5y+z=17 -5x-5y+5z=5 2x+5y-3z=-10	$- x - 5 y + z = 17$ $- 5 x - 5 y + 5 z = 5$ $2 x + 5 y - 3 z = - 10$
237240	Solve for x	x/3=x+2	$\frac{x}{3} = x + 2$
237241	Solve by Substitution	4x-y=6 2x-y/2=4	$4 x - y = 6$ $2 x - \frac{y}{2} = 4$
237242	Solve for w	2w^2-15w+19=0	$2 w^{2} - 15 w + 19 = 0$
237243	Simplify the Radical Expression	2 square root of 50ab^5	$2 \sqrt{50 a b^{5}}$
237244	Simplify	square root of 6x^5* square root of 8x^2	$\sqrt{6 x^{5}} \cdot \sqrt{8 x^{2}}$
237245	Simplify	(6- square root of 5)/(6+ square root of 5)	$\frac{6 - \sqrt{5}}{6 + \sqrt{5}}$
237246	Solve the Inequality for x	-3+\|x-2\|>5	$- 3 + \| x - 2 \| > 5$
237247	Evaluate	square root of 3x+7=7	$\sqrt{3 x + 7} = 7$
237248	Solve the Inequality for p	3p-5>2p+p-7	$3 p - 5 > 2 p + p - 7$
237249	Find the x and y Intercepts	x+1/3y=-3	$x + \frac{1}{3} y = - 3$
237250	Divide	(6y^2-5y-15)(2y+3)^-1	$(6 y^{2} - 5 y - 15) {(2 y + 3)}^{- 1}$
237251	Solve the System of Equations	y=-x+8 x+y=7	$y = - x + 8$ $x + y = 7$
237252	Solve for x	(7+x)/x=22	$\frac{7 + x}{x} = 22$
237253	Simplify	(a^2b(b-3))/(b^3(b-3)^2)	$\frac{a^{2} b (b - 3)}{b^{3} {(b - 3)}^{2}}$
237254	Multiply	(7x+2y)*(7x-2y)	$(7 x + 2 y) \cdot (7 x - 2 y)$
237255	Find the Domain and Range	f(x)=[x-1]	$f (x) = [x - 1]$
237256	Solve for n	-n+5=n-11	$- n + 5 = n - 11$
237257	Simplify	square root of 9( square root of 3+18 square root of 2)	$\sqrt{9} (\sqrt{3} + 18 \sqrt{2})$
237258	Simplify	11-2m-n+5+-m-3n+8	$11 - 2 m - n + 5 + - m - 3 n + 8$
237259	Simplify	((4^5)/4)^3	${(\frac{4^{5}}{4})}^{3}$
237260	Solve the System of Equations	-x-5y=18 and -x+4y=-18	$- x - 5 y = 18$ and $- x + 4 y = - 18$
237261	Solve for x	-4=x^2-4x	$- 4 = x^{2} - 4 x$
237262	Describe the Transformation	f(x)=1/2(x-8)^3+4	$f (x) = \frac{1}{2} {(x - 8)}^{3} + 4$
237263	Solve for x	400>(1/20)^(7x+8)	$400 > {(\frac{1}{20})}^{7 x + 8}$
237264	Convert to a Percentage	6 is what percent of 8	$6$ is what percent of $8$
237265	Find the Exact Value	2sin(225)	$2 \sin (225)$
237266	Graph	g(x)=3 if x<-3; x^2+2 if -3<=x<=1; 3 if x>1	$g (x) = {\begin{cases} 3 & x < - 3 \\ x^{2} + 2 & - 3 \leq x \leq 1 \\ 3 & x > 1 \end{cases}$
237267	Graph	sin(theta)<0 and sec(theta)<0	$\sin (θ) < 0$ and $\sec (θ) < 0$
237268	Graph	-28>=4-8x	$- 28 \geq 4 - 8 x$
237269	Find the Remainder	(6x^3-19x^2+20)÷(x^2-2x-3)	$(6 x^{3} - 19 x^{2} + 20) \div (x^{2} - 2 x - 3)$
237270	Solve the System of Equations	4x^2-3y^2+19y-44=0 x+y=2	$4 x^{2} - 3 y^{2} + 19 y - 44 = 0$ $x + y = 2$
237271	Write in Standard Form	y-x+4=0	$y - x + 4 = 0$
237272	Write in Standard Form	f(x)=7-1.6x^2-5x	$f (x) = 7 - 1.6 x^{2} - 5 x$
237273	Simplify the Radical Expression	( seventh root of 256x^8)/( seventh root of 2x)	$\frac{\sqrt[7]{256 x^{8}}}{\sqrt[7]{2 x}}$
237274	Evaluate	( square root of 3+1-2)/(3-3)	$\frac{\sqrt{3 + 1} - 2}{3 - 3}$
237275	Find the Product	(7a)(3ab)-4a^2b	$(7 a) (3 a b) - 4 a^{2} b$
237276	Find the Slope and y-intercept	y-9x=1/2	$y - 9 x = \frac{1}{2}$
237277	Evaluate	(2(1)^(3/2))/3	$\frac{2 {(1)}^{\frac{3}{2}}}{3}$
237278	Simplify	(24e^5)/(6e)	$\frac{24 e^{5}}{6 e}$
237279	Multiply	(-3 square root of 2)(-2 square root of 50)	$(- 3 \sqrt{2}) (- 2 \sqrt{50})$
237280	Solve Using the Quadratic Formula	N=(t^2-t)/2	$N = \frac{t^{2} - t}{2}$
237281	Solve for x	-4\|6+3x\|+3<=-21	$- 4 \| 6 + 3 x \| + 3 \leq - 21$
237282	Solve for m	cube root of 2m=4	$\sqrt[3]{2 m} = 4$
237283	Graph	table[[x,y],[-2,4],[-1,1],[0,0],[1,1],[2,4]]	$\begin{array}{c} x & y \\ - 2 & 4 \\ - 1 & 1 \\ 0 & 0 \\ 1 & 1 \\ 2 & 4 \end{array}$
237284	Simplify	( cube root of 32x^7)÷( cube root of 4x^2)	$\sqrt[3]{32 x^{7}} \div \sqrt[3]{4 x^{2}}$
237285	Solve for θ	cos(theta)^2-sin(theta)^2+sin(theta)=0	$\cos^{2} (θ) - \sin^{2} (θ) + \sin (θ) = 0$
237286	Solve the System of Inequalities	4x-11>=13 or 4x+5<=6	$4 x - 11 \geq 13$ or $4 x + 5 \leq 6$
237287	Simplify	x^2-3^2	$x^{2} - 3^{2}$
237288	Write as a Single Logarithm	2( log of 18- log of 3)+1/2 log of 1/16	$2 (\log (18) - \log (3)) + \frac{1}{2} \log (\frac{1}{16})$
237289	Evaluate	1/2a^-4b^2	$\frac{1}{2} a^{- 4} b^{2}$
237290	Simplify	8/(y-3)+(2y-5)/(y^2-12y+27)	$\frac{8}{y - 3} + \frac{2 y - 5}{y^{2} - 12 y + 27}$
237291	Simplify	(4+ square root of 36)/2	$\frac{4 + \sqrt{36}}{2}$
237292	Write in Standard Form	7m^2-m+8m^4+6m^3	$7 m^{2} - m + 8 m^{4} + 6 m^{3}$
237293	Simplify	( square root of 2x)/( cube root of 2x)	$\frac{\sqrt{2 x}}{\sqrt[3]{2 x}}$
237294	Solve Using the Quadratic Formula	7x+x^2=-4	$7 x + x^{2} = - 4$
237295	Write in Exponential Form	( cube root of x^5)/( fifth root of x^2)	$\frac{\sqrt[3]{x^{5}}}{\sqrt[5]{x^{2}}}$
237296	Convert to Interval Notation	x<5 and x>-1	$x < 5$ and $x > - 1$
237297	Evaluate	log of x=1	$\log (x) = 1$
237298	Evaluate	3x+1/2(2x+6)=6x+1	$3 x + \frac{1}{2} (2 x + 6) = 6 x + 1$
237299	Simplify	(-20t^5u^2v^3)/(48t^7u^4v)	$\frac{- 20 t^{5} u^{2} v^{3}}{48 t^{7} u^{4} v}$
237300	Simplify	(1/(x^3))÷(5/(x^2))	$\frac{1}{x^{3}} \div \frac{5}{x^{2}}$