Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
194801	Graph	y=-(x-2)(x+1)^2	$y = - (x - 2) {(x + 1)}^{2}$
194802	Solve the System of Equations	2x-y+2z=15 -x+y+z=3 3x-y+2z=18	$2 x - y + 2 z = 15$ $- x + y + z = 3$ $3 x - y + 2 z = 18$
194803	Graph	-14>w+3 or 3w>=-27	$- 14 > w + 3$ or $3 w \geq - 27$
194804	Solve the Rational Equation for x	(x+2)/(x+4)=(x-2)/(x+2)	$\frac{x + 2}{x + 4} = \frac{x - 2}{x + 2}$
194805	Evaluate	3^(x+1)=3^5	$3^{x + 1} = 3^{5}$
194806	Evaluate	cube root of 64+(2+1)^2- square root of 9+(10-7)^3	$\sqrt[3]{64} + {(2 + 1)}^{2} - \sqrt{9} + {(10 - 7)}^{3}$
194807	Find the Domain and Range	f(x)=4+5^(x-1)	$f (x) = 4 + 5^{x - 1}$
194808	Divide	((x^2+3x-18)/(3x^2))÷(x+6)	$\frac{x^{2} + 3 x - 18}{3 x^{2}} \div (x + 6)$
194809	Write as a Single Logarithm	natural log of x+2 natural log of y- natural log of z	$\ln (x) + 2 \ln (y) - \ln (z)$
194810	Solve for x	3/2-1/2x=2x+3	$\frac{3}{2} - \frac{1}{2} x = 2 x + 3$
194811	Evaluate	14+3(12+2)-5^2	$14 + 3 (12 + 2) - 5^{2}$
194812	Find the Roots (Zeros)	y=16x^2-9	$y = 16 x^{2} - 9$
194813	Solve for x	8x^2+16x=42	$8 x^{2} + 16 x = 42$
194814	Solve for x	(3x-8)/9+(3x+7)/18=-4	$\frac{3 x - 8}{9} + \frac{3 x + 7}{18} = - 4$
194815	Simplify	(x^(1/2)+y^(1/2))^2	${(x^{\frac{1}{2}} + y^{\frac{1}{2}})}^{2}$
194816	Find the Roots (Zeros)	f(x)=x^4-4x^3+x^2+6x	$f (x) = x^{4} - 4 x^{3} + x^{2} + 6 x$
194817	Find the Product	5-5*5+5	$5 - 5 \cdot 5 + 5$
194818	Simplify	-6x+4x-9+6	$- 6 x + 4 x - 9 + 6$
194819	Find the First Term	a_n=-11+7n	$a_{n} = - 11 + 7 n$
194820	Write in Standard Form	9(x-1)=2y	$9 (x - 1) = 2 y$
194821	Find the Center	(x-1)^2+(y^2)/25=1	${(x - 1)}^{2} + \frac{y^{2}}{25} = 1$
194822	Solve for c	22<6c+4	$22 < 6 c + 4$
194823	Solve the Absolute Value Inequality for x	3\|x+10\|-6>=-3	$3 \| x + 10 \| - 6 \geq - 3$
194824	Solve by Substitution	(x+3y)/2=5 3x-y=5y	$\frac{x + 3 y}{2} = 5$ $3 x - y = 5 y$
194825	Solve for q	a=qb+r	$a = q b + r$
194826	Simplify	(3x^2+2y^2-3x)+(2x^2+y^2-2x)-(x^2+3y^2+x)	$(3 x^{2} + 2 y^{2} - 3 x) + (2 x^{2} + y^{2} - 2 x) - (x^{2} + 3 y^{2} + x)$
194827	Write the Fraction in Simplest Form	arcsin(sin((8pi)/7))	$\arcsin (\sin (\frac{8 π}{7}))$
194828	Find the Roots (Zeros)	x+6/x+5=0	$x + \frac{6}{x} + 5 = 0$
194829	Simplify	(2x^2+x+4)(x^2+4x-4)	$(2 x^{2} + x + 4) (x^{2} + 4 x - 4)$
194830	Find g(f(x))	f(x)=10x , g(x)=x+3	$f (x) = 10 x$ , $g (x) = x + 3$
194831	Evaluate	cos(360 degrees )	$\cos (360 °)$
194832	Solve the Inequality for x	4/x-3>2/x-7	$\frac{4}{x} - 3 > \frac{2}{x} - 7$
194833	Factor	x^4+x^3-x-1	$x^{4} + x^{3} - x - 1$
194834	Simplify	10/(2i)	$\frac{10}{2 i}$
194835	Convert to a Decimal	125deg	$125$ degrees
194836	Solve for p	p-4=-9+p+1	$p - 4 = - 9 + p + 1$
194837	Simplify	(x+2)(x)	$(x + 2) (x)$
194838	Solve for x	2(-8x+5/3)-4/3=-1	$2 (- 8 x + \frac{5}{3}) - \frac{4}{3} = - 1$
194839	Subtract	(r+9)/(r-4)-(3r+1)/(r-4)	$\frac{r + 9}{r - 4} - \frac{3 r + 1}{r - 4}$
194840	Factor by Grouping	4x^2-64y^2	$4 x^{2} - 64 y^{2}$
194841	Solve for w	-4+w+17-2/3w=16	$- 4 + w + 17 - \frac{2}{3} w = 16$
194842	Solve for x	(6-x)/(4-x)=3/5	$\frac{6 - x}{4 - x} = \frac{3}{5}$
194843	Rationalize the Denominator	( square root of 3+1)/(2 square root of 2)	$\frac{\sqrt{3} + 1}{2 \sqrt{2}}$
194844	Solve for x	-2(x-1)(x^2+1)=0	$- 2 (x - 1) (x^{2} + 1) = 0$
194845	Simplify the Radical Expression	((3^6)/(y^-5))^2	${(\frac{3^{6}}{y^{- 5}})}^{2}$
194846	Solve for d	(b+4)/(c+d)=a	$\frac{b + 4}{c + d} = a$
194847	Evaluate	52+8^2-3(4-2)^3	$52 + 8^{2} - 3 {(4 - 2)}^{3}$
194848	Graph	8x-y>9 1/2x+6>=y y+1>-1/3(x-9)	$8 x - y > 9$ $\frac{1}{2} x + 6 \geq y$ $y + 1 > \frac{- 1}{3} (x - 9)$
194849	Divide	1/(2/1)	$\frac{1}{\frac{2}{1}}$
194850	Write in Standard Form	y-3=5(4-x)	$y - 3 = 5 (4 - x)$
194851	Evaluate	fifth root of 7 19/32	$\sqrt[5]{7 \frac{19}{32}}$
194852	Solve for a	(x^2(y^3)^4)/(xy^5)=x^a*y^b	$\frac{x^{2} {(y^{3})}^{4}}{x y^{5}} = x^{a} \cdot y^{b}$
194853	Solve for u	square root of u-7=5	$\sqrt{u - 7} = 5$
194854	Evaluate	(2ab^-1)/(3e^-3d)	$\frac{2 a b^{- 1}}{3 e^{- 3} d}$
194855	Solve the System of Equations	3x+2y-3z=-2 7x-2y+5z=-14 2x+4y+z=6	$3 x + 2 y - 3 z = - 2$ $7 x - 2 y + 5 z = - 14$ $2 x + 4 y + z = 6$
194856	Simplify	2/(2x+3)*9/x	$\frac{2}{2 x + 3} \cdot \frac{9}{x}$
194857	Solve for x	625*5^(3x+3)=125	$625 \cdot 5^{3 x + 3} = 125$
194858	Graph	4<-2x+3<9	$4 < - 2 x + 3 < 9$
194859	Simplify	((a^4x^y)/(c^(k-2)))^b	${(\frac{a^{4} x^{y}}{c^{k - 2}})}^{b}$
194860	Identify the Zeros and Their Multiplicities	f(x)=8x^3+24x^2+18x	$f (x) = 8 x^{3} + 24 x^{2} + 18 x$
194861	Find g(h(x))	g(x)=3x+4 h(x)=3x-1	$g (x) = 3 x + 4$ $h (x) = 3 x - 1$
194862	Solve for a	((x^(1/4))^3)/( fourth root of x)=x^a	$\frac{{(x^{\frac{1}{4}})}^{3}}{\sqrt[4]{x}} = x^{a}$
194863	Multiply	4/3*pi	$\frac{4}{3} \cdot π$
194864	Solve for x	3-(4x+1/2)=1/2(x-10)	$3 - (4 x + \frac{1}{2}) = \frac{1}{2} (x - 10)$
194865	Multiply	(y^2-2y-15)/(6y+18)*(12y+36)/(-y^2-7y+60)	$\frac{y^{2} - 2 y - 15}{6 y + 18} \cdot \frac{12 y + 36}{- y^{2} - 7 y + 60}$
194866	Divide Using Synthetic Division	(x^7-128)/(x-2)	$\frac{x^{7} - 128}{x - 2}$
194867	Simplify	7/(2w^2-19w+9)-(4w+3)/(2w^2+w-1)	$\frac{7}{2 w^{2} - 19 w + 9} - \frac{4 w + 3}{2 w^{2} + w - 1}$
194868	Find the Inverse	f^-1(x)=2x+1	$f^{- 1} (x) = 2 x + 1$
194869	Solve for x	x-2/3=-11/12	$x - \frac{2}{3} = - \frac{11}{12}$
194870	Evaluate	1/2 square root of 2*1/2 square root of 2	$\frac{1}{2} \sqrt{2} \cdot \frac{1}{2} \sqrt{2}$
194871	Solve for θ	tan(theta)+1=sec(theta)	$\tan (θ) + 1 = \sec (θ)$
194872	Graph	2(x+3)(x^2-1)	$2 (x + 3) (x^{2} - 1)$
194873	Divide	((5x)/8)÷((15x^2)/4)	$\frac{5 x}{8} \div \frac{15 x^{2}}{4}$
194874	Graph Using a Table of Values	g(x)=-3/2(2)^x	$g (x) = - \frac{3}{2} {(2)}^{x}$
194875	Solve for a	(3^-1)÷(3^4)=3^a	$3^{- 1} \div 3^{4} = 3^{a}$
194876	Solve the Inequality for j	5j+3>18	$5 j + 3 > 18$
194877	Find the Exact Value	cos((5pi)/12)cos(pi/4)+sin((5pi)/12)sin(pi/4)	$\cos (\frac{5 π}{12}) \cos (\frac{π}{4}) + \sin (\frac{5 π}{12}) \sin (\frac{π}{4})$
194878	Solve the Inequality for b	11b+6>=14b+3	$11 b + 6 \geq 14 b + 3$
194879	Simplify	((x^2-x-12)/(3x-9))÷((x-4)/12)	$\frac{x^{2} - x - 12}{3 x - 9} \div \frac{x - 4}{12}$
194880	Multiply	(a+b)(c+d)	$(a + b) (c + d)$
194881	Solve the Inequality for x	(x^2+16)(x-1)(x+2)>0	$(x^{2} + 16) (x - 1) (x + 2) > 0$
194882	Solve for x	-2(3x+7)+7=1+9(-1/6x-3/2)	$- 2 (3 x + 7) + 7 = 1 + 9 (- \frac{1}{6} x - \frac{3}{2})$
194883	Solve the System of Equations	-2/3x-7y=6 x+3y=-9	$- \frac{2}{3} x - 7 y = 6$ $x + 3 y = - 9$
194884	Convert to Interval Notation	4/(x^2-25)>0	$\frac{4}{x^{2} - 25} > 0$
194885	Write in Standard Form	10(x/2-1/5)=(y)	$10 (\frac{x}{2} - \frac{1}{5}) = (y)$
194886	Solve for x	-(-6x+9)-3/4x=-x-5/2(-4x+4)	$- (- 6 x + 9) - \frac{3}{4} x = - x - \frac{5}{2} (- 4 x + 4)$
194887	Solve for x	3^(6x+2)=1	$3^{6 x + 2} = 1$
194888	Solve Using the Square Root Property	2(5-5x^2)=5	$2 (5 - 5 x^{2}) = 5$
194889	Solve for x	2/x=9/(x-3)	$\frac{2}{x} = \frac{9}{x - 3}$
194890	Determine the Possible Number of Real Roots	2x^5-3x^4+8x^3+3x^2-8x+12=0	$2 x^{5} - 3 x^{4} + 8 x^{3} + 3 x^{2} - 8 x + 12 = 0$
194891	Find the Inverse	g(x)=2+2/5x	$g (x) = 2 + \frac{2}{5} x$
194892	Solve for w	-5-3w=7w	$- 5 - 3 w = 7 w$
194893	Simplify	(6+10 square root of 3)/( square root of 3-1)	$\frac{6 + 10 \sqrt{3}}{\sqrt{3} - 1}$
194894	Solve for x	6(x+2)-4x+6=36	$6 (x + 2) - 4 x + 6 = 36$
194895	Find the Roots (Zeros)	f(x)=(x+3)(x+1)^2(x-1)	$f (x) = (x + 3) {(x + 1)}^{2} (x - 1)$
194896	Find the Domain and Range	f(x) = log base 1/3 of x-2	$f (x) = \log_{\frac{1}{3}} (x - 2)$
194897	Find the Product	square root of 5x^8y^2* square root of 10x^3* square root of 12y	$\sqrt{5 x^{8} y^{2}} \cdot \sqrt{10 x^{3}} \cdot \sqrt{12 y}$
194898	Solve the Inequality for x	-3/(x+7)<=-4/(x+8)	$- \frac{3}{x + 7} \leq - \frac{4}{x + 8}$
194899	Graph	p(x)=(x-1)(2x+7)(x+1)^2	$p (x) = (x - 1) (2 x + 7) {(x + 1)}^{2}$
194900	Write in Standard Form	( square root of -2)^6	${(\sqrt{- 2})}^{6}$