Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235401	Solve by Factoring	5^(x+1)+5^(x-1)=26	$5^{x + 1} + 5^{x - 1} = 26$
235402	Simplify	x^2+1/2(20x^2-10x+6)+2x	$x^{2} + \frac{1}{2} (20 x^{2} - 10 x + 6) + 2 x$
235403	Simplify	(9x^3y^4)÷(x^2)y^2	$9 x^{3} y^{4} \div x^{2} y^{2}$
235404	Evaluate	1/2!	$\frac{1}{2}!$
235405	Solve for d	6 = square root of d/16	$6 = \sqrt{\frac{d}{16}}$
235406	Graph Using a Table of Values	y^2+x=2	$y^{2} + x = 2$
235407	Solve the System of Equations	9y=-17x+72 -72+17x=-9y	$9 y = - 17 x + 72$ $- 72 + 17 x = - 9 y$
235408	Solve for v	-63=4v-8v-15	$- 63 = 4 v - 8 v - 15$
235409	Solve for x	2(2x-5)=3(x+2)	$2 (2 x - 5) = 3 (x + 2)$
235410	Graph	2x-y<3 x+2y>=4	$2 x - y < 3$ $x + 2 y \geq 4$
235411	Factor	108y-180xy+75x^2y	$108 y - 180 x y + 75 x^{2} y$
235412	Simplify	fifth root of m^5n^-5	$\sqrt[5]{m^{5} n^{- 5}}$
235413	Find the Exact Value	3*3^3	$3 \cdot 3^{3}$
235414	Find the Holes in the Graph	(x^2+x-6)/(x-2)	$\frac{x^{2} + x - 6}{x - 2}$
235415	Find the Exact Value	arcos (-( square root of 3)/2)	arcos $(- \frac{\sqrt{3}}{2})$
235416	Solve the Inequality for x	30<5x-5(x-6)/2<=60	$30 < 5 x - 5 \frac{x - 6}{2} \leq 60$
235417	Evaluate	60% of 20	$60 %$ of $20$
235418	Graph	f(x)=3x if x<0; x+2 if x>=0	$f (x) = {\begin{cases} 3 x & x < 0 \\ x + 2 & x \geq 0 \end{cases}$
235419	Solve the Inequality for v	\|4v-9\|<=27	$\| 4 v - 9 \| \leq 27$
235420	Find the Roots (Zeros)	3(x+3)^2-81=0	$3 {(x + 3)}^{2} - 81 = 0$
235421	Simplify	12/((10x-40)/(4/(2x-8)))	$\frac{12}{\frac{10 x - 40}{\frac{4}{2 x - 8}}}$
235422	Solve for x	3x^2-28=2x^2-3x	$3 x^{2} - 28 = 2 x^{2} - 3 x$
235423	Solve for x	1/6(x+1/5)=-17/15	$\frac{1}{6} (x + \frac{1}{5}) = - \frac{17}{15}$
235424	Solve for z	-6z+1=-4-7z	$- 6 z + 1 = - 4 - 7 z$
235425	Simplify	1/(6^13*8^16)	$\frac{1}{6^{13} \cdot 8^{16}}$
235426	Find the Exact Value	((2^-10)/(4^2))^7	${(\frac{2^{- 10}}{4^{2}})}^{7}$
235427	Simplify/Condense	4 log base 3 of x-1/3 log base 3 of x+6	$4 \log_{3} (x) - \frac{1}{3} \log_{3} (x + 6)$
235428	Evaluate	3(4*4)+(12/4)	$3 (4 \cdot 4) + (\frac{12}{4})$
235429	Simplify	cube root of (x^24)/27	$\sqrt[3]{\frac{x^{24}}{27}}$
235430	Find the Domain and Range	(2-x)^2+3	${(2 - x)}^{2} + 3$
235431	Divide	( square root of 24)/8	$\frac{\sqrt{24}}{8}$
235432	Simplify the Radical Expression	( square root of 7- square root of 5)/( square root of 12+ square root of 7)	$\frac{\sqrt{7} - \sqrt{5}}{\sqrt{12} + \sqrt{7}}$
235433	Simplify	(-2+ square root of 3)/( square root of 3- square root of 15)	$\frac{- 2 + \sqrt{3}}{\sqrt{3} - \sqrt{15}}$
235434	Solve for k	1/2k+2=5+5/6k	$\frac{1}{2} k + 2 = 5 + \frac{5}{6} k$
235435	Find the Product	(12x^2+7y^3)(4x^2+7y^3)	$(12 x^{2} + 7 y^{3}) (4 x^{2} + 7 y^{3})$
235436	Solve for b	12(b+2)=8(b+5)	$12 (b + 2) = 8 (b + 5)$
235437	Simplify	(a-b^3+3c)(a-b^3-3c)	$(a - b^{3} + 3 c) (a - b^{3} - 3 c)$
235438	Simplify	square root of cube root of square root of y	$\sqrt{\sqrt[3]{\sqrt{y}}}$
235439	Find the GCF	16bc^2+24bc	$16 b c^{2} + 24 b c$
235440	Evaluate	(5^(1/4))+6(405^(1/4))	$(5^{\frac{1}{4}}) + 6 (405^{\frac{1}{4}})$
235441	Divide	((3x^2)/(3x))÷((x^2-9)/(x^2-10x+21))	$\frac{3 x^{2}}{3 x} \div \frac{x^{2} - 9}{x^{2} - 10 x + 21}$
235442	Evaluate	f(-1)=3(2)^x	$f (- 1) = 3 {(2)}^{x}$
235443	Solve for x	1/3(x-6)=1/9x-5/3	$\frac{1}{3} (x - 6) = \frac{1}{9} x - \frac{5}{3}$
235444	Solve for u	u+3/4=1/8	$u + \frac{3}{4} = \frac{1}{8}$
235445	Solve the Absolute Value Inequality for x	15=\|10-3x\|	$15 = \| 10 - 3 x \|$
235446	Solve the Inequality for x	1<=\|x\|<=4	$1 \leq \| x \| \leq 4$
235447	Graph	y<=(-1/3)x+4	$y \leq (- \frac{1}{3}) x + 4$
235448	Evaluate	(pi*5^2)/2	$\frac{π \cdot 5^{2}}{2}$
235449	Solve the System of Equations	y=x+z+5 z=-3y-3 2x-y=-4	$y = x + z + 5$ $z = - 3 y - 3$ $2 x - y = - 4$
235450	Evaluate	1/2(7+5^3)	$\frac{1}{2} (7 + 5^{3})$
235451	Simplify	(x+h)^2-x^2	${(x + h)}^{2} - x^{2}$
235452	Evaluate	3(cos(pi/6)+isin(pi/6))	$3 (\cos (\frac{π}{6}) + i \sin (\frac{π}{6}))$
235453	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+23x^2+23x+6 is divided by 3x+2	Use the long division method to find the result when $3 x^{3} + 23 x^{2} + 23 x + 6$ is divided by $3 x + 2$
235454	Solve the System of Equations	y=x-2 y=x^2-2	$y = x - 2$ $y = x^{2} - 2$
235455	Factor by Grouping	10a-25+5b	$10 a - 25 + 5 b$
235456	Simplify the Radical Expression	fourth root of (x^4y^24)/81	$\sqrt[4]{\frac{x^{4} y^{24}}{81}}$
235457	Simplify	(1-1/(x+2))/(1+3/(x-2))	$\frac{1 - \frac{1}{x + 2}}{1 + \frac{3}{x - 2}}$
235458	Convert to a Percentage	3/42*100%	$\frac{3}{42} \cdot 100 %$
235459	Solve for x	5/4(x-5/2)=-5/8	$\frac{5}{4} (x - \frac{5}{2}) = - \frac{5}{8}$
235460	Evaluate	square root of x-2=4	$\sqrt{x - 2} = 4$
235461	Solve for y	y=-4/3(-3)	$y = - \frac{4}{3} (- 3)$
235462	Simplify	(2^-2)^(3/2)	${(2^{- 2})}^{\frac{3}{2}}$
235463	Solve for x	145=10x-8x	$145 = 10 x - 8 x$
235464	Multiply	(6rs^2)(s^3t^2)(1/2r^4t^3)	$(6 r s^{2}) (s^{3} t^{2}) (\frac{1}{2} r^{4} t^{3})$
235465	Convert to Interval Notation	x<3 and x>-5	$x < 3$ and $x > - 5$
235466	Factor	(3x+y)^2-9	${(3 x + y)}^{2} - 9$
235467	Simplify	square root of 2x^2* square root of 15x^2	$\sqrt{2 x^{2}} \cdot \sqrt{15 x^{2}}$
235468	Simplify	square root of 2 square root of 8	$\sqrt{2 \sqrt{8}}$
235469	Solve for x	8ix=-5	$8 i x = - 5$
235470	Solve Using the Quadratic Formula	x^3-3x^2-4x+12	$x^{3} - 3 x^{2} - 4 x + 12$
235471	Evaluate	pi(3125/5-6250/3+3125)	$π (\frac{3125}{5} - \frac{6250}{3} + 3125)$
235472	Evaluate	f(x)=2 square root of -9	$f (x) = 2 \sqrt{- 9}$
235473	Simplify the Radical Expression	square root of 36+ square root of 64	$\sqrt{36} + \sqrt{64}$
235474	Simplify	(2t)/(3t-12)-8/(3t-12)	$\frac{2 t}{3 t - 12} - \frac{8}{3 t - 12}$
235475	Simplify the Radical Expression	square root of 8/25	$\sqrt{\frac{8}{25}}$
235476	Solve Using the Quadratic Formula	1/2x^2-x/4-1=0	$\frac{1}{2} x^{2} - \frac{x}{4} - 1 = 0$
235477	Divide	( square root of 6)÷( square root of 2)	$\sqrt{6} \div \sqrt{2}$
235478	Solve the Inequality for c	2c+6<2c+9	$2 c + 6 < 2 c + 9$
235479	Simplify	yy3	$y \cdot y \cdot 3$
235480	Simplify	1/(i^-25)	$\frac{1}{i^{- 25}}$
235481	Find the Exact Value	cos(-495 degrees )	$\cos (- 495 °)$
235482	Solve the System of Equations	-2x+3y+4z=5 6x+7y+z=9 3x+7y+z=-9	$- 2 x + 3 y + 4 z = 5$ $6 x + 7 y + z = 9$ $3 x + 7 y + z = - 9$
235483	Simplify	3(4x^2+x)-(3x^2+3x-1)	$3 (4 x^{2} + x) - (3 x^{2} + 3 x - 1)$
235484	Solve for x	z=3(x-h)	$z = 3 (x - h)$
235485	Divide	(-6/5)÷(-12/25)	$- \frac{6}{5} \div (- \frac{12}{25})$
235486	Simplify	(8x^0y^2z^3)^-2	${(8 x^{0} y^{2} z^{3})}^{- 2}$
235487	Solve for x	x^(-2/3)+x^(-1/3)-30=0	$x^{- \frac{2}{3}} + x^{- \frac{1}{3}} - 30 = 0$
235488	Simplify	(-2(4-1)-(2-5))+1	$(- 2 (4 - 1) - (2 - 5)) + 1$
235489	Solve for x	log of 6x+5- log of 3 = log of 2- log of x	$\log (6 x + 5) - \log (3) = \log (2) - \log (x)$
235490	Simplify the Radical Expression	( square root of 8m^2)/( square root of 6m)	$\frac{\sqrt{8 m^{2}}}{\sqrt{6 m}}$
235491	Simplify	(cos(x)^2)/(cos(x)^2)	$\frac{\cos^{2} (x)}{\cos^{2} (x)}$
235492	Write in Standard Form	(-2x^2+3x-1)(2x^2+3x+5)	$(- 2 x^{2} + 3 x - 1) (2 x^{2} + 3 x + 5)$
235493	Describe the Transformation	g(x)=-1/2f(x)	$g (x) = - \frac{1}{2} f (x)$
235494	Simplify	(x^2-25y^2)÷(x^2+10xy+25y^2)	$(x^{2} - 25 y^{2}) \div (x^{2} + 10 x y + 25 y^{2})$
235495	Evaluate	(x^3*x^-2)/(x^5)	$\frac{x^{3} \cdot x^{- 2}}{x^{5}}$
235496	Solve for x	2x+3+5x+17+90=180	$2 x + 3 + 5 x + 17 + 90 = 180$
235497	Solve the Inequality for x	square root of 3x+4-5<=4	$\sqrt{3 x + 4} - 5 \leq 4$
235498	Solve the System of Inequalities	y>x+3 y<=-1	$y > x + 3$ $y \leq - 1$
235499	Solve for c	4c-20=-20+4c	$4 c - 20 = - 20 + 4 c$
235500	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4+11x^3-9x^2-8x+30 is divided by x+3	Use synthetic division to find the result when $4 x^{4} + 11 x^{3} - 9 x^{2} - 8 x + 30$ is divided by $x + 3$