Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
218401	Evaluate	(c^4*c^3)/(c^6)	$\frac{c^{4} \cdot c^{3}}{c^{6}}$
218402	Simplify the Radical Expression	square root of 2* cube root of 2	$\sqrt{2} \cdot \sqrt[3]{2}$
218403	Simplify	square root of 3x^2*4 square root of 10x^2	$\sqrt{3 x^{2}} \cdot 4 \sqrt{10 x^{2}}$
218404	Solve for x	(2x-6)/20=39/(x+8)	$\frac{2 x - 6}{20} = \frac{39}{x + 8}$
218405	Solve the Inequality for x	(x+3)/(2x-1)>=0	$\frac{x + 3}{2 x - 1} \geq 0$
218406	Solve for x	2(x-7)^(1/2)-3=1	$2 {(x - 7)}^{\frac{1}{2}} - 3 = 1$
218407	Evaluate the Function	f(x)=x^3-9x-7 for x=10	$f (x) = x^{3} - 9 x - 7$ for $x = 10$
218408	Solve the Inequality for x	20>x/4+11	$20 > \frac{x}{4} + 11$
218409	Solve for b	(7b)÷12=4.2	$7 b \div 12 = 4.2$
218410	Simplify	((8x)/(x^2-1))/((10x)/(x+1))	$\frac{\frac{8 x}{x^{2} - 1}}{\frac{10 x}{x + 1}}$
218411	Solve for x	square root of 19-3x-1=3x	$\sqrt{19 - 3 x - 1} = 3 x$
218412	Solve the Inequality for b	7/2>=b+9/5	$\frac{7}{2} \geq b + \frac{9}{5}$
218413	Simplify	(2^93^5)(2^4*3)^2	$(2^{9} \cdot 3^{5}) \cdot {(2^{4} \cdot 3)}^{2}$
218414	Simplify	-(25x^3y^3)/(14a^2b)*(-(21ab)/(10x^2y))	$- \frac{25 x^{3} y^{3}}{14 a^{2} b} \times (- \frac{21 a b}{10 x^{2} y})$
218415	Evaluate	(4(1+2)^2)/(-6+3)	$\frac{4 {(1 + 2)}^{2}}{- 6 + 3}$
218416	Solve for b	1/(4a)-c/(3b)=1	$\frac{1}{4 a} - \frac{c}{3 b} = 1$
218417	Solve Using the Quadratic Formula	5x^2+6x+7=x^2-4x	$5 x^{2} + 6 x + 7 = x^{2} - 4 x$
218418	Simplify	1/4(8+x+4)	$\frac{1}{4} (8 + x + 4)$
218419	Solve for x	sin(x)-1=cos(x)	$\sin (x) - 1 = \cos (x)$
218420	Evaluate	(3x+1)-(x+2)	$(3 x + 1) - (x + 2)$
218421	Find the Domain and Range	j(x)=tan(x/2-pi)	$j (x) = \tan (\frac{x}{2} - π)$
218422	Evaluate	i^9i^9i^21*i^28	$i^{9} \cdot i^{9} \cdot i^{21} \cdot i^{28}$
218423	Solve the Inequality for x	3x^2+6x-2>=4x-1	$3 x^{2} + 6 x - 2 \geq 4 x - 1$
218424	Evaluate	4^(2p)=4^(-2p-1)	$4^{2 p} = 4^{- 2 p - 1}$
218425	Solve the System of Equations	6x-y-3z=7 9x+y+5z=4 3x+y+z=6	$6 x - y - 3 z = 7$ $9 x + y + 5 z = 4$ $3 x + y + z = 6$
218426	Solve for x	1/5(x+0.5)+5.24=3/2x+7/10(x+2.2)	$\frac{1}{5} (x + 0.5) + 5.24 = \frac{3}{2} x + \frac{7}{10} (x + 2.2)$
218427	Write in Standard Form	(3t^4+4t^3-32t^2-5t-20)(t+4)^-1	$(3 t^{4} + 4 t^{3} - 32 t^{2} - 5 t - 20) {(t + 4)}^{- 1}$
218428	Find the Exact Value	sin(-360 degrees )	$\sin (- 360 °)$
218429	Evaluate	4/3x-8/3=3/2x+7/4	$\frac{4}{3} x - \frac{8}{3} = \frac{3}{2} x + \frac{7}{4}$
218430	Solve for x	x/(x-1)=2/(x-3)	$\frac{x}{x - 1} = \frac{2}{x - 3}$
218431	Solve for y	6y+4-3y=-5+y+17	$6 y + 4 - 3 y = - 5 + y + 17$
218432	Solve the System of Inequalities	y<-2x+1 x+2y>=-4	$y < - 2 x + 1$ $x + 2 y \geq - 4$
218433	Expand Using the Binomial Theorem	(3xy^2-5y)^5	${(3 x y^{2} - 5 y)}^{5}$
218434	Divide Using Long Polynomial Division	(-2x^2+x^3-75)÷(x-5)	$(- 2 x^{2} + x^{3} - 75) \div (x - 5)$
218435	Simplify	((2x)^x(2x)^(2x))^(1/x)	${({(2 x)}^{x} {(2 x)}^{2 x})}^{\frac{1}{x}}$
218436	Graph	y>=-3+4	$y \geq - 3 + 4$
218437	Solve for a	8-a/2=3(4-5a)	$8 - \frac{a}{2} = 3 (4 - 5 a)$
218438	Simplify	(sec(x))/(sin(x))	$\frac{\sec (x)}{\sin (x)}$
218439	Determine if True	1+cot(theta)^2=csc(theta)^2	$1 + \cot^{2} (θ) = \csc^{2} (θ)$
218440	Solve for a	y=ax+2	$y = a x + 2$
218441	Solve for x	6x+5=5x+8+2x	$6 x + 5 = 5 x + 8 + 2 x$
218442	Reduce	square root of 216	$\sqrt{216}$
218443	Find the Slope and y-intercept	y=-3+2	$y = - 3 + 2$
218444	Simplify	((5q)/(q+1))/(1-q/(q+1))	$\frac{\frac{5 q}{q + 1}}{1 - \frac{q}{q + 1}}$
218445	Evaluate	5* log base 5 of 4- log base 5 of 16	$5 \cdot \log_{5} (4) - \log_{5} (16)$
218446	Convert to a Decimal	14rev per s	$14$ revolutions per second
218447	Find the LCD	7/(9x+18) and 5/(6x)	$\frac{7}{9 x + 18}$ and $\frac{5}{6 x}$
218448	Divide Using Long Polynomial Division	(6y^4+15y^3-28y^2-6)÷(y+2)	$(6 y^{4} + 15 y^{3} - 28 y^{2} - 6) \div (y + 2)$
218449	Simplify the Radical Expression	3 cube root of 12+5 cube root of 12	$3 \sqrt[3]{12} + 5 \sqrt[3]{12}$
218450	Simplify	(-u^2)(-6u^2v^3)(-u^3v^4)	$(- u^{2}) (- 6 u^{2} v^{3}) (- u^{3} v^{4})$
218451	Write the Absolute Value as Piecewise	f(x)=\|1-x\|	$f (x) = \| 1 - x \|$
218452	Solve for x	cube root of x/3=-2	$\sqrt[3]{\frac{x}{3}} = - 2$
218453	Simplify	(-32)^(-1/5)	${(- 32)}^{\frac{- 1}{5}}$
218454	Solve for x	z(x)=16x^2+8x+1	$z (x) = 16 x^{2} + 8 x + 1$
218455	Evaluate	log base 4 of 1/4x^2	$\log_{4} (\frac{1}{4} x^{2})$
218456	Simplify	square root of 8mn^2+2n square root of 18m	$\sqrt{8 m n^{2}} + 2 n \sqrt{18 m}$
218457	Evaluate	xy^-7	$x y^{- 7}$
218458	Simplify	(14-30)/(2(-4))	$\frac{14 - 30}{2 (- 4)}$
218459	Graph	-y<2+3x	$- y < 2 + 3 x$
218460	Find the Domain and Range	x^3+5x^2-1	$x^{3} + 5 x^{2} - 1$
218461	Solve for x	0.4(2x+1/2)=3(0.2x+(-2))-4	$0.4 (2 x + \frac{1}{2}) = 3 (0.2 x + (- 2)) - 4$
218462	Solve for x	\|3x\|<=4	$\| 3 x \| \leq 4$
218463	Divide	(((x-y)^2)/(x+y))÷((3x+3y)/(x^2-y^2))	$\frac{{(x - y)}^{2}}{x + y} \div \frac{3 x + 3 y}{x^{2} - y^{2}}$
218464	Solve for u	39=-2u-3u-26	$39 = - 2 u - 3 u - 26$
218465	Describe the Transformation	y=1/2(x+1)^4-3	$y = \frac{1}{2} {(x + 1)}^{4} - 3$
218466	Simplify	((2a^3b^-2)/(c^3))^5	${(\frac{2 a^{3} b^{- 2}}{c^{3}})}^{5}$
218467	Solve for x	7-9/2=-5/(2x)	$7 - \frac{9}{2} = \frac{- 5}{2 x}$
218468	Find the Slope and y-intercept	y=(-x)/3	$y = \frac{- x}{3}$
218469	Write in Standard Form	x^6y^2+4x^3y^8+10x	$x^{6} y^{2} + 4 x^{3} y^{8} + 10 x$
218470	Find the GCF	318 and 282	$318$ and $282$
218471	Solve for n	2n>20	$2 n > 20$
218472	Solve for x	(x+x+2)/4=189.5	$\frac{x + x + 2}{4} = 189.5$
218473	Solve for x	x-(8-5x)=12x-23	$x - (8 - 5 x) = 12 x - 23$
218474	Find the Product	10a(a-10b)	$10 a (a - 10 b)$
218475	Graph	c(x)=2+3x^2-x^3	$c (x) = 2 + 3 x^{2} - x^{3}$
218476	Solve the Rational Equation for x	2 square root of 3x+1=4x	$2 \sqrt{3 x + 1} = 4 x$
218477	Simplify	(-7x^2+4x+2)-(x^2-3)	$(- 7 x^{2} + 4 x + 2) - (x^{2} - 3)$
218478	Simplify	-2(-4a^2+b^3)^2	$- 2 {(- 4 a^{2} + b^{3})}^{2}$
218479	Solve the Inequality for q	q-16<=30	$q - 16 \leq 30$
218480	Evaluate	cube root of square root of 27	$\sqrt[3]{\sqrt{27}}$
218481	Evaluate	4(4)^(3/2)	$4 {(4)}^{\frac{3}{2}}$
218482	Simplify	7*7^-5	$7 \cdot 7^{- 5}$
218483	Simplify	-6/(\|-6\|)	$\frac{- 6}{\| - 6 \|}$
218484	Graph	y>x+3 and y>=-2x+1	$y > x + 3$ and $y \geq - 2 x + 1$
218485	Write the Fraction in Simplest Form	(15qy^8)/(3(y^-1)^2)	$\frac{15 q y^{8}}{3 {(y^{- 1})}^{2}}$
218486	Simplify	(x-2)(x+3)(9/(x-2))	$(x - 2) (x + 3) (\frac{9}{x - 2})$
218487	Simplify	(-x^2+5x)-(6x^2+x-2)	$(- x^{2} + 5 x) - (6 x^{2} + x - 2)$
218488	Solve for x	-3/(x+3)=x/(x+3)-x/5	$- \frac{3}{x + 3} = \frac{x}{x + 3} - \frac{x}{5}$
218489	Simplify	((2x^3y^11zw^6)/(3xy^7z^4w^5))^3	${(\frac{2 x^{3} y^{11} z w^{6}}{3 x y^{7} z^{4} w^{5}})}^{3}$
218490	Simplify	(y^(-1/5))^(-1/3)	${(y^{\frac{- 1}{5}})}^{\frac{- 1}{3}}$
218491	Simplify the Radical Expression	( square root of z^9)/( fourth root of z^3)	$\frac{\sqrt{z^{9}}}{\sqrt[4]{z^{3}}}$
218492	Solve for v	fourth root of v=-4	$\sqrt[4]{v} = - 4$
218493	Simplify	(4xy)^2(4xy^2)	${(4 x y)}^{2} (4 x y^{2})$
218494	Find the Domain and Range	y=6/11arcsin((2x)/5+3)	$y = \frac{6}{11} \arcsin (\frac{2 x}{5} + 3)$
218495	Simplify	cube root of 4x^2( cube root of 2x-5 cube root of 4x^2)	$\sqrt[3]{4 x^{2}} (\sqrt[3]{2 x} - 5 \sqrt[3]{4 x^{2}})$
218496	Factor	(x^2-8x+16)/(3x-12)	$\frac{x^{2} - 8 x + 16}{3 x - 12}$
218497	Find All Complex Solutions	z+4/(z+1)=3	$z + \frac{4}{z + 1} = 3$
218498	Graph	y=(x+4)^2(x+1)	$y = {(x + 4)}^{2} (x + 1)$
218499	Solve for x	5+1/3(6x+9)=-(x-4)	$5 + \frac{1}{3} (6 x + 9) = - (x - 4)$
218500	Solve Over the Interval	sin(2x)=( square root of 2)/2 , 0<=x<2pi	$\sin (2 x) = \frac{\sqrt{2}}{2}$ , $0 \leq x < 2 π$