Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207101	Solve for d	V=pi/6d^3	$V = \frac{π}{6} d^{3}$
207102	Simplify the Radical Expression	((z^4)/(6^2))^-3	${(\frac{z^{4}}{6^{2}})}^{- 3}$
207103	Simplify	(2x+28)/3*12/(4x+56)	$\frac{2 x + 28}{3} \cdot \frac{12}{4 x + 56}$
207104	Simplify the Radical Expression	fourth root of 144	$\sqrt[4]{144}$
207105	Graph	f(x)=-2 log base 2 of -x-6-5	$f (x) = - 2 \log_{2} (- x - 6) - 5$
207106	Solve for x	x3/2=8	$x \frac{3}{2} = 8$
207107	Find the Product	-3x(x^2-7x-6)	$- 3 x (x^{2} - 7 x - 6)$
207108	Find the Exact Value	sin(pi/3)cos(pi/4)-tan(pi/4)	$\sin (\frac{π}{3}) \cos (\frac{π}{4}) - \tan (\frac{π}{4})$
207109	Simplify	((x^8y)/(x^5y))^2	${(\frac{x^{8} y}{x^{5} y})}^{2}$
207110	Simplify	cube root of -500/(x^12)	$\sqrt[3]{\frac{- 500}{x^{12}}}$
207111	Evaluate	e^15=x	$e^{15} = x$
207112	Simplify	(x^3-y^3)/(y-x)	$\frac{x^{3} - y^{3}}{y - x}$
207113	Simplify	(-4+ square root of 32)/(-2(5))	$\frac{- 4 + \sqrt{32}}{- 2 (5)}$
207114	Solve for C	C(r)=2pir	$C (r) = 2 π r$
207115	Rationalize the Denominator	( square root of 14)/( square root of 5-2)	$\frac{\sqrt{14}}{\sqrt{5} - 2}$
207116	Simplify	((x^3)/(x^0))^0	${(\frac{x^{3}}{x^{0}})}^{0}$
207117	Simplify	(3x-1)(4x+3)(x+1)	$(3 x - 1) (4 x + 3) (x + 1)$
207118	Solve for x	6x^3=-6	$6 x^{3} = - 6$
207119	Solve for a	4a-4=8+a	$4 a - 4 = 8 + a$
207120	Simplify	(x^-1-y^-1)^-1((xy)/(x-y))^-1	${(x^{- 1} - y^{- 1})}^{- 1} {(\frac{x y}{x - y})}^{- 1}$
207121	Simplify	((4^-6)/(4^2))^4	${(\frac{4^{- 6}}{4^{2}})}^{4}$
207122	Solve for x	(x-x)/5=1	$\frac{x - x}{5} = 1$
207123	Simplify	fifth root of -1024/243	$\sqrt[5]{\frac{- 1024}{243}}$
207124	Find the Domain and Range	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
207125	Find the Holes in the Graph	(-x+3)/(x-3)	$\frac{- x + 3}{x - 3}$
207126	Simplify	cube root of 5a^2* cube root of 2a	$\sqrt[3]{5 a^{2}} \cdot \sqrt[3]{2 a}$
207127	Solve for x	x^3-5x^2+x-5=x^2+1	$x^{3} - 5 x^{2} + x - 5 = x^{2} + 1$
207128	Simplify	(4x^(2/3))/(5x^(1/2))	$\frac{4 x^{\frac{2}{3}}}{5 x^{\frac{1}{2}}}$
207129	Write the Fraction in Simplest Form	(4j^7)/(5(j^2)^3)	$\frac{4 j^{7}}{5 {(j^{2})}^{3}}$
207130	Simplify	( square root of 11-5)(5- square root of 11)	$(\sqrt{11} - 5) (5 - \sqrt{11})$
207131	Graph	y=cot(-x)	$y = \cot (- x)$
207132	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9+6x^2+x^5+7x^3-2x	$f (x) = 9 + 6 x^{2} + x^{5} + 7 x^{3} - 2 x$
207133	Find the End Behavior	f(x)=800x^2-480x^3+2x^6-28x^5+160x^4+256-704x	$f (x) = 800 x^{2} - 480 x^{3} + 2 x^{6} - 28 x^{5} + 160 x^{4} + 256 - 704 x$
207134	Simplify	-12<=44+x	$- 12 \leq 44 + x$
207135	Solve for y	y square root of y+1=0	$y \sqrt{y + 1} = 0$
207136	Simplify	((r^2s)/(rs^3t))^3	${(\frac{r^{2} s}{r s^{3} t})}^{3}$
207137	Simplify	(2(3x)^2)/(3x^3)	$\frac{2 {(3 x)}^{2}}{3 x^{3}}$
207138	Simplify the Radical Expression	5 square root of 27-2 cube root of 27+ cube root of 27	$5 \sqrt{27} - 2 \sqrt[3]{27} + \sqrt[3]{27}$
207139	Evaluate Using the Given Value	3(m-4)-n(m-4) if m=5 and n=3	$3 \cdot (m - 4) - n \cdot (m - 4)$ if $m = 5$ and $n = 3$
207140	Divide Using Long Polynomial Division	(2x^3-10x^2+16x-5)÷(x^2-6x+8)	$(2 x^{3} - 10 x^{2} + 16 x - 5) \div (x^{2} - 6 x + 8)$
207141	Solve for x	square root of 2x-7=2x	$\sqrt{2 x - 7} = 2 x$
207142	Evaluate	log base 5 of 49* log base 8 of 5* log base 9 of 8* log base 7 of 9	$\log_{5} (49) \cdot \log_{8} (5) \cdot \log_{9} (8) \cdot \log_{7} (9)$
207143	Simplify	(2 square root of 12a)(3 square root of 2a)	$(2 \sqrt{12 a}) (3 \sqrt{2 a})$
207144	Write in Standard Form	y=1/2(x-2)^2-4	$y = \frac{1}{2} {(x - 2)}^{2} - 4$
207145	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-6x^2+3x+6	$f (x) = - 6 x^{2} + 3 x + 6$
207146	Simplify	(n^5)/((-2n^4)^3)	$\frac{n^{5}}{{(- 2 n^{4})}^{3}}$
207147	Solve the System of Equations	x+y=4 y=-x+4	$x + y = 4$ $y = - x + 4$
207148	Solve for b	(4(b-2))/5=8	$\frac{4 (b - 2)}{5} = 8$
207149	Find the End Behavior	y=-3x+6x^2-1	$y = - 3 x + 6 x^{2} - 1$
207150	Simplify	1/3(6ab-9b)+2/3(9ab+12b)	$\frac{1}{3} (6 a b - 9 b) + \frac{2}{3} (9 a b + 12 b)$
207151	Graph	F(x)=[x+1]	$F (x) = [x + 1]$
207152	Solve for x	ax+2d=5cx+3b	$a x + 2 d = 5 c x + 3 b$
207153	Evaluate	(9^2-15*2)÷17	$(9^{2} - 15 \cdot 2) \div 17$
207154	Solve for x	1/2x+7-1/4x=19/2	$\frac{1}{2} x + 7 - \frac{1}{4} x = \frac{19}{2}$
207155	Write the Fraction in Simplest Form	((4v^5)^3)/(-2v^-2)	$\frac{{(4 v^{5})}^{3}}{- 2 v^{- 2}}$
207156	Evaluate	mg=8	$mg = 8$
207157	Simplify	(3x^4)/(5x^4)	$\frac{3 x^{4}}{5 x^{4}}$
207158	Simplify	(2ab)/c-(13b)/(11a)	$\frac{2 a b}{c} - \frac{13 b}{11 a}$
207159	Find the x and y Intercepts	y=(3x)^3	$y = {(3 x)}^{3}$
207160	Simplify	(-2x^2)^-3(4x^8)	${(- 2 x^{2})}^{- 3} (4 x^{8})$
207161	Solve the Inequality for a	a/-8+15>23	$\frac{a}{- 8} + 15 > 23$
207162	Write with Rational (Fractional) Exponents	square root of square root of 625	$\sqrt{\sqrt{625}}$
207163	Evaluate	y=e^-3	$y = e^{- 3}$
207164	Simplify	square root of (80x^9y^6)/(5xy^2)	$\sqrt{\frac{80 x^{9} y^{6}}{5 x y^{2}}}$
207165	Solve for x	1/2(16-x)=-12(x+7)	$\frac{1}{2} (16 - x) = - 12 (x + 7)$
207166	Solve the Rational Equation for x	(x-2)^(1/3)-3=-5	${(x - 2)}^{\frac{1}{3}} - 3 = - 5$
207167	Solve for z	e^(3z)=15	$e^{3 z} = 15$
207168	Solve the System of Equations	2x=y-10 x+7=y	$2 x = y - 10$ $x + 7 = y$
207169	Solve the Inequality for m	3\|m+7\|-9<30	$3 \| m + 7 \| - 9 < 30$
207170	Write in Standard Form	2x^2+y^2+10y+19=0	$2 x^{2} + y^{2} + 10 y + 19 = 0$
207171	Find the Product	4x^2(3x^2+1)	$4 x^{2} (3 x^{2} + 1)$
207172	Solve for p	6-4(3p-2)=6(1-2p)-1	$6 - 4 (3 p - 2) = 6 (1 - 2 p) - 1$
207173	Solve for b	square root of 9-b = square root of 1-9b	$\sqrt{9 - b} = \sqrt{1 - 9 b}$
207174	Simplify	( square root of 15x^4y^13)/( square root of 3x^3y^4)	$\frac{\sqrt{15 x^{4} y^{13}}}{\sqrt{3 x^{3} y^{4}}}$
207175	Simplify	( cube root of 24x^2y^5)/( cube root of 3x^5y^2)	$\frac{\sqrt[3]{24 x^{2} y^{5}}}{\sqrt[3]{3 x^{5} y^{2}}}$
207176	Solve for p	m*n^p=q	$m \cdot n^{p} = q$
207177	Simplify	2 square root of x- square root of x+3 square root of x	$2 \sqrt{x} - \sqrt{x} + 3 \sqrt{x}$
207178	Find the Inverse	y=(2+3x)/(7-x)	$y = \frac{2 + 3 x}{7 - x}$
207179	Evaluate	cos(theta)+sin(theta)*tan(theta)=2	$\cos (θ) + \sin (θ) \cdot \tan (θ) = 2$
207180	Solve the System of Equations	y=-1/4x-2 x+4y=-8	$y = - \frac{1}{4} x - 2$ $x + 4 y = - 8$
207181	Simplify	(11+3x^3)+(4x^2-2)+3x	$(11 + 3 x^{3}) + (4 x^{2} - 2) + 3 x$
207182	Solve for x	5(x-2)+2x=2(x-5)+x	$5 (x - 2) + 2 x = 2 (x - 5) + x$
207183	Simplify	( sixth root of 8a^5b^7)/( sixth root of 2a^2b^3)	$\frac{\sqrt[6]{8 a^{5} b^{7}}}{\sqrt[6]{2 a^{2} b^{3}}}$
207184	Simplify	(4x-1)/(3x^2y)-(7x-1)/(3x^2y)	$\frac{4 x - 1}{3 x^{2} y} - \frac{7 x - 1}{3 x^{2} y}$
207185	Simplify the Radical Expression	square root of 8+ square root of 18	$\sqrt{8} + \sqrt{18}$
207186	Simplify the Radical Expression	(125x^5)^(4/3)	${(125 x^{5})}^{\frac{4}{3}}$
207187	Subtract	(2m-3+7m^2)-(3-9m^2-2m)	$(2 m - 3 + 7 m^{2}) - (3 - 9 m^{2} - 2 m)$
207188	Graph	3y>=2x-6	$3 y \geq 2 x - 6$
207189	Solve for x	15x square root of 3=30 square root of 2	$15 x \sqrt{3} = 30 \sqrt{2}$
207190	Simplify	square root of 1/7* square root of 7/11	$\sqrt{\frac{1}{7}} \cdot \sqrt{\frac{7}{11}}$
207191	Simplify	Subtract -2x^2-4x from 2x^2-2x-5	Subtract $- 2 x^{2} - 4 x$ from $2 x^{2} - 2 x - 5$
207192	Find the Exact Value	arcsin((-1/2)^-1)	$\arcsin ({(- \frac{1}{2})}^{- 1})$
207193	Simplify the Radical Expression	(1/( square root of y))^(-1/5)	${(\frac{1}{\sqrt{y}})}^{\frac{- 1}{5}}$
207194	Simplify	x cube root of 56x^4y^5	$x \sqrt[3]{56 x^{4} y^{5}}$
207195	Simplify	( square root of 2)÷( square root of 2)	$\sqrt{2} \div \sqrt{2}$
207196	Simplify the Radical Expression	square root of 8- square root of 9	$\sqrt{8} - \sqrt{9}$
207197	Simplify	(36k^4m^10)1/2	$(36 k^{4} m^{10}) \frac{1}{2}$
207198	Simplify	(3y^(3/4))/(2xy^(3/2))	$\frac{3 y^{\frac{3}{4}}}{2 x y^{\frac{3}{2}}}$
207199	Evaluate	(x^2+8x+8)+(-10x^2+5x)	$(x^{2} + 8 x + 8) + (- 10 x^{2} + 5 x)$
207200	Write the Fraction in Simplest Form	(6z^8)/(-2(z^-3)^5)	$\frac{6 z^{8}}{- 2 {(z^{- 3})}^{5}}$