Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
234401	Simplify	10(10x^-1)^-1	$10 {(10 x^{- 1})}^{- 1}$
234402	Find All Complex Solutions	2/(x+2)+1/10=3/(x+3)	$\frac{2}{x + 2} + \frac{1}{10} = \frac{3}{x + 3}$
234403	Find the Holes in the Graph	(x+3)/(-3x^2-9x)	$\frac{x + 3}{- 3 x^{2} - 9 x}$
234404	Simplify	((d^2)/(e^(2/3)))^(2/5)	${(\frac{d^{2}}{e^{\frac{2}{3}}})}^{\frac{2}{5}}$
234405	Solve for b	log base 4 of 64=2b-1	$\log_{4} (64) = 2 b - 1$
234406	Graph	y>-2x+1y	$y > - 2 x + 1 y$
234407	Simplify	x-2/3	$x \frac{- 2}{3}$
234408	Solve for x	log base 2 of x^2-7- log base 2 of x+5=0	$\log_{2} (x^{2} - 7) - \log_{2} (x + 5) = 0$
234409	Find the LCM	7 and 3	$7$ and $3$
234410	Solve for x	3-x>=0	$3 - x \geq 0$
234411	Identify the Zeros and Their Multiplicities	f(x)=5(x^2+4)^2(x-3)^3	$f (x) = 5 {(x^{2} + 4)}^{2} {(x - 3)}^{3}$
234412	Simplify	cube root of -3*(1/375)^(1/3)	$\sqrt[3]{- 3} \cdot {(\frac{1}{375})}^{\frac{1}{3}}$
234413	Evaluate	y=(1/5)^0	$y = {(\frac{1}{5})}^{0}$
234414	Factor	3ac-5bd+bc-15ad	$3 a c - 5 b d + b c - 15 a d$
234415	Find the Exact Value	77777*7	$7 \cdot 7 \cdot 7 \cdot 7 \cdot 7 \cdot 7$
234416	Evaluate	(( square root of 6)/2)^2	${(\frac{\sqrt{6}}{2})}^{2}$
234417	Solve for x	log base 4 of 9x = log base 4 of x^2-36	$\log_{4} (9 x) = \log_{4} (x^{2} - 36)$
234418	Graph	k-3<-7 or k+5>=8	$k - 3 < - 7$ or $k + 5 \geq 8$
234419	Simplify	x/(2x-1)+(x+2)/x	$\frac{x}{2 x - 1} + \frac{x + 2}{x}$
234420	Find the Product	(6y^2+5y^4)^2	${(6 y^{2} + 5 y^{4})}^{2}$
234421	Graph	-2x-4>-20 or -2x-4<-28	$- 2 x - 4 > - 20$ or $- 2 x - 4 < - 28$
234422	Simplify	cube root of x2/3	$\sqrt[3]{x \frac{2}{3}}$
234423	Simplify the Radical Expression	(-64)(1/3)	$(- 64) (\frac{1}{3})$
234424	Simplify	square root of 72 square root of 32 square root of 8	$\sqrt{72} \sqrt{32} \sqrt{8}$
234425	Solve the Rational Equation for x	(x-6)^(5/2)=243	${(x - 6)}^{\frac{5}{2}} = 243$
234426	Find the Complex Conjugate	-5/6+1/6i	$- \frac{5}{6} + \frac{1}{6} i$
234427	Simplify	((x^2)/(x-3))/(x/((x-3)^2))	$\frac{(\frac{x^{2}}{(x - 3)})}{(\frac{x}{{(x - 3)}^{2}})}$
234428	Simplify the Radical Expression	- square root of 25+ square root of -24+ square root of 1+ square root of -54	$- \sqrt{25} + \sqrt{- 24} + \sqrt{1} + \sqrt{- 54}$
234429	Simplify	(x/(x+3))/3	$\frac{\frac{x}{x + 3}}{3}$
234430	Simplify	((3m^-5n^2)/(4m^-2n^0))*((mn^4)/(9n))^2	$(\frac{3 m^{- 5} n^{2}}{4 m^{- 2} n^{0}}) \cdot {(\frac{m n^{4}}{9 n})}^{2}$
234431	Evaluate	natural log of e^( natural log of e)	$\ln (e^{\ln (e)})$
234432	Solve the System of Equations	Solve the system of equations y=2x+3 and 2y-2x=8 using the Substitution Method.	Solve the system of equations $y = 2 x + 3$ and $2 y - 2 x = 8$ using the Substitution Method.
234433	Find the Excluded Values	(2y^2+2)/(y^3-5y^2+y-5)	$\frac{2 y^{2} + 2}{y^{3} - 5 y^{2} + y - 5}$
234434	Evaluate	55% of 80	$55 %$ of $80$
234435	Solve for m	(2m+1)^(1/4)-2=1	${(2 m + 1)}^{\frac{1}{4}} - 2 = 1$
234436	Solve for x	1/2(x+5/2)=15/4	$\frac{1}{2} (x + \frac{5}{2}) = \frac{15}{4}$
234437	Multiply	2/51/37/8	$\frac{2}{5} \cdot \frac{1}{3} \cdot \frac{7}{8}$
234438	Simplify the Radical Expression	square root of 5(6+ square root of 2)	$\sqrt{5} (6 + \sqrt{2})$
234439	Convert to Interval Notation	x<-2 and x<2	$x < - 2$ and $x < 2$
234440	Simplify the Radical Expression	5/( square root of 8)	$\frac{5}{\sqrt{8}}$
234441	Simplify the Radical Expression	(-8 square root of 6)(2 square root of -42)	$(- 8 \sqrt{6}) (2 \sqrt{- 42})$
234442	Find the Roots (Zeros)	y=(x-1)^2(2x-3)^3	$y = {(x - 1)}^{2} {(2 x - 3)}^{3}$
234443	Solve by Factoring	x^6-9x^4-x^2+9=0	$x^{6} - 9 x^{4} - x^{2} + 9 = 0$
234444	Graph	R={y\|y>=0}	$R = {y \| y \geq 0}$
234445	Evaluate	2x-3y<6	$2 x - 3 y < 6$
234446	Simplify	((2a^3b^2c)^-3)/((3a^2b^3c)^2)	$\frac{{(2 a^{3} b^{2} c)}^{- 3}}{{(3 a^{2} b^{3} c)}^{2}}$
234447	Find the Domain of the Composition f(g(h(x)))	f(x)=x^3-x^2+10 g(x)=3x^2+2x-10 h(x)=2x^3+2x^2-3x	$f (x) = x^{3} - x^{2} + 10$ $g (x) = 3 x^{2} + 2 x - 10$ $h (x) = 2 x^{3} + 2 x^{2} - 3 x$
234448	Solve for x	(x^2+x-12)/(x-5)=(2x+3)/(x+4)	$\frac{x^{2} + x - 12}{x - 5} = \frac{2 x + 3}{x + 4}$
234449	Find the Domain and Range	f(x)=2(2/3)^(x-3)-4	$f (x) = 2 {(\frac{2}{3})}^{x - 3} - 4$
234450	Evaluate	log base 8 of cube root of 1/64	$\log_{8} (\sqrt[3]{\frac{1}{64}})$
234451	Solve for x	2=3x^2-x-2	$2 = 3 x^{2} - x - 2$
234452	Evaluate	2*3^(2-1)	$2 \cdot 3^{2 - 1}$
234453	Simplify	(10x^4-4x^3-7x^2+5x+9)-(2x^4-5x^3-4x^2+9x+3)	$(10 x^{4} - 4 x^{3} - 7 x^{2} + 5 x + 9) - (2 x^{4} - 5 x^{3} - 4 x^{2} + 9 x + 3)$
234454	Evaluate	(18-(-4))/2+(-6)(3)	$\frac{18 - (- 4)}{2} + (- 6) (3)$
234455	Graph	x>-y	$x > - y$
234456	Solve for x	(10x)/(2-5)=3	$\frac{10 x}{2 - 5} = 3$
234457	Simplify	((3xy^2)/(x^3y))^-2	${(\frac{3 x y^{2}}{x^{3} y})}^{- 2}$
234458	Find the Domain and Range	y=sec(x-pi/2)	$y = \sec (x - \frac{π}{2})$
234459	Find the Inverse	y=4 square root of x+3	$y = 4 \sqrt{x + 3}$
234460	Simplify the Radical Expression	4 square root of 2*5 square root of 8	$4 \sqrt{2} \cdot 5 \sqrt{8}$
234461	Factor	b^2-c^2-10(b-c)	$b^{2} - c^{2} - 10 (b - c)$
234462	Solve for C	F=5/9C+32 for C	$F = \frac{5}{9} C + 32$ for $C$
234463	Simplify the Radical Expression	((w^7)/(w^4))^(5/12)	${(\frac{w^{7}}{w^{4}})}^{\frac{5}{12}}$
234464	Evaluate Using the Given Value	(dt)/(dx) if t=x/(8x-4)	$\frac{d t}{d x}$ if $t = \frac{x}{8 x - 4}$
234465	Multiply	( square root of 2+ square root of 3)*( square root of 3- square root of 2)	$(\sqrt{2} + \sqrt{3}) \cdot (\sqrt{3} - \sqrt{2})$
234466	Simplify	(6-3)^3-(4-1)^3	${(6 - 3)}^{3} - {(4 - 1)}^{3}$
234467	Solve for x	2(x-1)^2-2x^2=4	$2 {(x - 1)}^{2} - 2 x^{2} = 4$
234468	Graph	y<=x 5 y<=2x+3	$y \leq x$ $5$ $y \leq 2 x + 3$
234469	Simplify	square root of 3- square root of 3+ square root of 3	$\sqrt{3} - \sqrt{3} + \sqrt{3}$
234470	Solve the Inequality for b	3(b+2)-7>=2b-5+b	$3 (b + 2) - 7 \geq 2 b - 5 + b$
234471	Solve the Inequality for x	3(x-2)>=3x-10	$3 (x - 2) \geq 3 x - 10$
234472	Divide Using Long Polynomial Division	(2x^3-5x^2+x)/x	$\frac{2 x^{3} - 5 x^{2} + x}{x}$
234473	Multiply	7/186/175/16	$\frac{7}{18} \cdot \frac{6}{17} \cdot \frac{5}{16}$
234474	Solve for n	165=6n^3+9	$165 = 6 n^{3} + 9$
234475	Write in Slope-Intercept Form	(5,0) and (-3,6)	$(5, 0)$ and $(- 3, 6)$
234476	Solve the Inequality for a	6a+4b>=10	$6 a + 4 b \geq 10$
234477	Evaluate	natural log of 5x+7=8	$\ln (5 x + 7) = 8$
234478	Simplify	5x^2+8x+6+x^2+3x+1	$5 x^{2} + 8 x + 6 + x^{2} + 3 x + 1$
234479	Solve for x	12-3(3+x)=12-8x	$12 - 3 (3 + x) = 12 - 8 x$
234480	Evaluate the Function	f(x)=2x+2 for x=4	$f (x) = 2 x + 2$ for $x = 4$
234481	Find the Focus	x^2=12(y+5/2)^2	$x^{2} = 12 {(y + \frac{5}{2})}^{2}$
234482	Simplify the Radical Expression	2z square root of 100x^7z^4	$2 z \sqrt{100 x^{7} z^{4}}$
234483	Solve for x	y = square root of (x-48)/6	$y = \sqrt{\frac{x - 48}{6}}$
234484	Simplify	14/3-4/6	$\frac{14}{3} - \frac{4}{6}$
234485	Simplify	1/6xy(6xy)^3	$\frac{1}{6} x y {(6 x y)}^{3}$
234486	Solve the Inequality for θ	30 degrees <theta<90 degrees	$30 ° < θ < 90 °$
234487	Divide Using Long Polynomial Division	(2x^3-5x^2+14)÷(x^2-x-2)	$(2 x^{3} - 5 x^{2} + 14) \div (x^{2} - x - 2)$
234488	Evaluate	log base 8 of square root of 2-2 log of 10+8	$\log_{8} (\sqrt{2}) - 2 \log (10) + 8$
234489	Solve the System of Equations	y=-1 y=3/4x-4	$y = - 1$ $y = \frac{3}{4} x - 4$
234490	Solve the Inequality for x	((x-5)^2(x+3))/(x-6)>=0	$\frac{{(x - 5)}^{2} (x + 3)}{x - 6} \geq 0$
234491	Simplify	simplify (3s^8)^-5	simplify ${(3 s^{8})}^{- 5}$
234492	Solve for p	32>=-16p	$32 \geq - 16 p$
234493	Simplify	(a^2-ab)+(a^2+2ab)+(a-2a^2)	$(a^{2} - a b) + (a^{2} + 2 a b) + (a - 2 a^{2})$
234494	Solve for y	(y+1)/(y-5)+10/(y+5)=(y+1)/(y-5)*10/(y+5)	$\frac{y + 1}{y - 5} + \frac{10}{y + 5} = \frac{y + 1}{y - 5} \cdot \frac{10}{y + 5}$
234495	Simplify	(x^(7/4)y^(3/7))/(y^(-2/7)x^(1/2))	$\frac{x^{\frac{7}{4}} \cdot y^{\frac{3}{7}}}{y^{- \frac{2}{7}} \cdot x^{\frac{1}{2}}}$
234496	Simplify	(9/6t-4)*2	$(\frac{9}{6} t - 4) \cdot 2$
234497	Solve for x	(2x+1)/3-(x-1)/2=5/6	$\frac{2 x + 1}{3} - \frac{x - 1}{2} = \frac{5}{6}$
234498	Find the Domain and Range	y=(12x-5)/(3x-1)	$y = \frac{12 x - 5}{3 x - 1}$
234499	Solve for M	M=(((x+y)^2-(x-y)^2)/(xy))^(1/2)	$M = {(\frac{{(x + y)}^{2} - {(x - y)}^{2}}{x y})}^{\frac{1}{2}}$
234500	Find the Exact Value	(2(3+5)+6)4	$(2 \times (3 + 5) + 6) \times 4$