Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
210601	Simplify	2pr^2(2pr+5p^2r-15p)	$2 p r^{2} (2 p r + 5 p^{2} r - 15 p)$
210602	Solve the Inequality for x	x^2>3x+4	$x^{2} > 3 x + 4$
210603	Simplify	( square root of 25x^3y^4)/(2x^4y)	$\frac{\sqrt{25 x^{3} y^{4}}}{2 x^{4} y}$
210604	Solve for t	S(t)=2t^2-3t+3	$S (t) = 2 t^{2} - 3 t + 3$
210605	Find the Exact Value	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
210606	Simplify	fourth root of (xy)^8	$\sqrt[4]{{(x y)}^{8}}$
210607	Find the Inverse	f(x)=(4x)^(2/3)	$f (x) = {(4 x)}^{\frac{2}{3}}$
210608	Solve the System of Equations	2x+y=8 2x+y=4	$2 x + y = 8$ $2 x + y = 4$
210609	Find the Roots (Zeros)	cos(x/4)+x^2-3x=0	$\cos (\frac{x}{4}) + x^{2} - 3 x = 0$
210610	Divide	(8x^3-x^2+2x-1)/(2x)	$\frac{8 x^{3} - x^{2} + 2 x - 1}{2 x}$
210611	Solve for x	2\|3-3x\|-2<22	$2 \| 3 - 3 x \| - 2 < 22$
210612	Simplify	(4cos(theta)-3sin(theta))^2+(3cos(theta)+4sin(theta))^2	${(4 \cos (θ) - 3 \sin (θ))}^{2} + {(3 \cos (θ) + 4 \sin (θ))}^{2}$
210613	Simplify the Radical Expression	sixth root of 8r^3	$\sqrt[6]{8 r^{3}}$
210614	Multiply	(x^2-2x-15)/(10x+30)*3/(x^2-3x-10)	$\frac{x^{2} - 2 x - 15}{10 x + 30} \cdot \frac{3}{x^{2} - 3 x - 10}$
210615	Multiply	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
210616	Subtract	(9a^3b+6ab-4)-(10a^3b-6a^2b^2-6)	$(9 a^{3} b + 6 a b - 4) - (10 a^{3} b - 6 a^{2} b^{2} - 6)$
210617	Simplify	1/(x1/2)	$\frac{1}{x \frac{1}{2}}$
210618	Write in Standard Form	(-6a^4b^3)^2*-2ab^5	${(- 6 a^{4} b^{3})}^{2} \cdot - 2 a b^{5}$
210619	Solve for n	r=(2mI)/(B(n+1))	$r = \frac{2 m I}{B (n + 1)}$
210620	Solve for n	square root of n+2-4=0	$\sqrt{n + 2} - 4 = 0$
210621	Solve for p	-0.9p+3.2=-1.7p	$- 0.9 p + 3.2 = - 1.7 p$
210622	Solve the Inequality for x	1/3x-3<-1 5/6	$\frac{1}{3} x - 3 < - 1 \frac{5}{6}$
210623	Write the Fraction in Simplest Form	(3(k^5)^2)/(-4k^-4)	$\frac{3 {(k^{5})}^{2}}{- 4 k^{- 4}}$
210624	Simplify	cube root of 125x^12* square root of 121x^3	$\sqrt[3]{125 x^{12}} \cdot \sqrt{121 x^{3}}$
210625	Simplify	(9^(3/2)*9^(1/2))/(9^-2)	$\frac{9^{\frac{3}{2}} \cdot 9^{\frac{1}{2}}}{9^{- 2}}$
210626	Factor	(x+y)^4-1	${(x + y)}^{4} - 1$
210627	Convert to a Percentage	15 is what percent of 40	$15$ is what percent of $40$
210628	Solve for y	3x-2y=18 for y	$3 x - 2 y = 18$ for $y$
210629	Simplify	(x+9)/(x+3)-(-4x-6)/(x+3)	$\frac{x + 9}{x + 3} - \frac{- 4 x - 6}{x + 3}$
210630	Find the Exact Value	((3/5)(2/5))÷(4/7)	$((\frac{3}{5}) (\frac{2}{5})) \div \frac{4}{7}$
210631	Find the Degree, Leading Term, and Leading Coefficient	x^5+2x^6-3x^4-8x+4x^3	$x^{5} + 2 x^{6} - 3 x^{4} - 8 x + 4 x^{3}$
210632	Solve for m	-9+ square root of 5m=-4	$- 9 + \sqrt{5 m} = - 4$
210633	Graph	A=(-1,12) , B=(6,7) , C=(1,0)	$A = (- 1, 12)$ , $B = (6, 7)$ , $C = (1, 0)$
210634	Simplify	-4m^2(n^2-m^2)+3n^2(m^2-n^2)	$- 4 m^{2} (n^{2} - m^{2}) + 3 n^{2} (m^{2} - n^{2})$
210635	Find the Domain and Range	y=1/2 square root of x+2-1	$y = \frac{1}{2} \sqrt{x + 2} - 1$
210636	Simplify	(2x+7)(x+1)(x-1)(3x+4)	$(2 x + 7) (x + 1) (x - 1) (3 x + 4)$
210637	Simplify	(6 square root of 98x^4)/( square root of 2x)	$\frac{6 \sqrt{98 x^{4}}}{\sqrt{2 x}}$
210638	Divide Using Long Polynomial Division	(2x^5+x^4-15x^3-2x^2+10x-24)÷(x^2-x-4)	$(2 x^{5} + x^{4} - 15 x^{3} - 2 x^{2} + 10 x - 24) \div (x^{2} - x - 4)$
210639	Solve the Inequality for x	25^2>=5^(x+1)	$25^{2} \geq 5^{x + 1}$
210640	Simplify	(x^2-6x+9)/(12-4x)*(x^6-9x^4)/(x^3-3x^2)	$\frac{x^{2} - 6 x + 9}{12 - 4 x} \cdot \frac{x^{6} - 9 x^{4}}{x^{3} - 3 x^{2}}$
210641	Graph	f(x)=(2X)/(X^2-9)	$f (x) = \frac{2 X}{X^{2} - 9}$
210642	Factor	sin(x)^6+cos(x)^6	$\sin^{6} (x) + \cos^{6} (x)$
210643	Solve the Inequality for x	3x+4>5(x+2)	$3 x + 4 > 5 (x + 2)$
210644	Graph	f(x)=1/2( cube root of x-4)+2	$f (x) = \frac{1}{2} (\sqrt[3]{x - 4}) + 2$
210645	Find the Slope and y-intercept	-1/2x+2y=7	$- \frac{1}{2} x + 2 y = 7$
210646	Simplify	4p(p-7q)	$4 p (p - 7 q)$
210647	Solve for x	log base 7 of 2x^2+4- log base 7 of 3x+3=0	$\log_{7} (2 x^{2} + 4) - \log_{7} (3 x + 3) = 0$
210648	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3x-8	$f (x) = 3 x - 8$
210649	Write the Fraction in Simplest Form	(4(z)^2)/(-20z^-6)	$\frac{4 {(z)}^{2}}{- 20 z^{- 6}}$
210650	Solve for x	log base 2 of x+5- log base 2 of 2x-1=5	$\log_{2} (x + 5) - \log_{2} (2 x - 1) = 5$
210651	Simplify	5/(-4- square root of 6)	$\frac{5}{- 4 - \sqrt{6}}$
210652	Solve for x	4x(x-2)=(2x+1)(2x-3)	$4 x (x - 2) = (2 x + 1) (2 x - 3)$
210653	Solve for x	cos(x)=-sin(x)	$\cos (x) = - \sin (x)$
210654	Factor	x^3+8x^2+11x-20=(x+5)	$x^{3} + 8 x^{2} + 11 x - 20 = (x + 5)$
210655	Write the Fraction in Simplest Form	(10^0r^-11s)/(3^2)	$\frac{10^{0} r^{- 11} s}{3^{2}}$
210656	Simplify	6m7m^2nn^4	$6 m \cdot 7 m^{2} n \cdot n^{4}$
210657	Solve the System of Equations	x^2-4y^2=36 x-y=6	$x^{2} - 4 y^{2} = 36$ $x - y = 6$
210658	Solve for k	k=10(-7)-19	$k = 10 (- 7) - 19$
210659	Solve for a	7a-14a^2=0	$7 a - 14 a^{2} = 0$
210660	Find the Holes in the Graph	(4x^2-100)/(2x^2-7x-15)	$\frac{4 x^{2} - 100}{2 x^{2} - 7 x - 15}$
210661	Simplify	(mx+my)/(5n)*(10m)/(ny+nx)	$\frac{(m x + m y)}{5 n} \cdot \frac{10 m}{n y + n x}$
210662	Simplify	(20x^3y^8)/(-5x^3y)	$\frac{20 x^{3} y^{8}}{- 5 x^{3} y}$
210663	Simplify	(24w^4+14w^3-4w^2+10w)/(2w)	$\frac{24 w^{4} + 14 w^{3} - 4 w^{2} + 10 w}{2 w}$
210664	Simplify	(5x^4-2x^2)-(3x-2x^2-4x^3+6x^4)	$(5 x^{4} - 2 x^{2}) - (3 x - 2 x^{2} - 4 x^{3} + 6 x^{4})$
210665	Evaluate	(2^3a^-3)/(8^-1b^-5c^0)	$\frac{2^{3} a^{- 3}}{8^{- 1} b^{- 5} c^{0}}$
210666	Find the Exact Value	( square root of 64+ square root of 16)+(8^2-6)(-4)(2)	$(\sqrt{64} + \sqrt{16}) + (8^{2} - 6) (- 4) (2)$
210667	Solve for x	(x+5)/(x+4)-2/(4-x)=2/(x-4)	$\frac{x + 5}{x + 4} - \frac{2}{4 - x} = \frac{2}{x - 4}$
210668	Solve for n	-6+5n=2n+n	$- 6 + 5 n = 2 n + n$
210669	Solve the Inequality for h	24<=h+15	$24 \leq h + 15$
210670	Simplify	6r^2s+11rs^2+3r^2s-7rs^2+15r^2s-9rs^2	$6 r^{2} s + 11 r s^{2} + 3 r^{2} s - 7 r s^{2} + 15 r^{2} s - 9 r s^{2}$
210671	Graph	y>-7 y>9/2x+2	$y > - 7$ $y > \frac{9}{2} x + 2$
210672	Convert to a Decimal	sin(0)deg	$\sin (0)$ degrees
210673	Find the Roots (Zeros)	x^2+2x=-5	$x^{2} + 2 x = - 5$
210674	Solve for d	30=d^2	$30 = d^{2}$
210675	Graph	y<x/3+2 y<-2x+1	$y < \frac{x}{3} + 2$ $y < - 2 x + 1$
210676	Simplify	2 cube root of 9*5 cube root of -24	$2 \sqrt[3]{9} \cdot 5 \sqrt[3]{- 24}$
210677	Write in Standard Form	x(2x-5)	$x (2 x - 5)$
210678	Simplify	5^-1*5	$5^{- 1} \cdot 5$
210679	Simplify	(10 root of 4)/( fifth root of 4)	$\frac{\sqrt[10]{4}}{\sqrt[5]{4}}$
210680	Solve for x	-1.6(10x+6)=9.1x+5.6(4x+1)	$- 1.6 (10 x + 6) = 9.1 x + 5.6 (4 x + 1)$
210681	Solve for y	4(8y-8)+3(8y+64)=25(3y+8)-69y	$4 (8 y - 8) + 3 (8 y + 64) = 25 (3 y + 8) - 69 y$
210682	Simplify	x/((2yx^4)^3)	$\frac{x}{{(2 y x^{4})}^{3}}$
210683	Write in Standard Form	x^2+y^2-8x+7=0	$x^{2} + y^{2} - 8 x + 7 = 0$
210684	Solve the System of Equations	x^2+y^2=16 , x^2-y^2=20	$x^{2} + y^{2} = 16$ , $x^{2} - y^{2} = 20$
210685	Simplify	(x^2+x)^2+x^2+x	${(x^{2} + x)}^{2} + x^{2} + x$
210686	Divide	(16 cube root of 24)/(2 cube root of 3)	$\frac{16 \sqrt[3]{24}}{2 \sqrt[3]{3}}$
210687	Solve for x	cube root of x-1=0	$\sqrt[3]{x - 1} = 0$
210688	Evaluate	(x-y)(x-y)	$(x - y) (x - y)$
210689	Simplify	cube root of x^2y^3	$\sqrt[3]{x^{2} y^{3}}$
210690	Solve for c	(3c-21)^(1/2)=c-7	${(3 c - 21)}^{\frac{1}{2}} = c - 7$
210691	Solve for x	9-x/10=0	$9 - \frac{x}{10} = 0$
210692	Simplify	(3x^3+3x^2+5)-(x^3-2x^2+x-4)	$(3 x^{3} + 3 x^{2} + 5) - (x^{3} - 2 x^{2} + x - 4)$
210693	Simplify the Radical Expression	( square root of 75)÷( square root of 3)	$\sqrt{75} \div \sqrt{3}$
210694	Solve for x	x/(x+4)+5/(4-x)=1/(x-4)	$\frac{x}{x + 4} + \frac{5}{4 - x} = \frac{1}{x - 4}$
210695	Solve the Rational Equation for x	5 = square root of x+3	$5 = \sqrt{x + 3}$
210696	Solve for k	-3(4x+3)+4(6x+1)=k	$- 3 (4 x + 3) + 4 (6 x + 1) = k$
210697	Solve the Inequality for b	b-3/4<1/2	$b - \frac{3}{4} < \frac{1}{2}$
210698	Simplify	(5+2i)^2+(2-i)^2	${(5 + 2 i)}^{2} + {(2 - i)}^{2}$
210699	Write the Fraction in Simplest Form	((3d^5x^-2)^-4)/(4d^-6x^10)	$\frac{{(3 d^{5} x^{- 2})}^{- 4}}{4 d^{- 6} x^{10}}$
210700	Find the Degree, Leading Term, and Leading Coefficient	1/2x^4-10	$\frac{1}{2} x^{4} - 10$