Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215601	Solve for x	cos(3x)+cos(x)=0	$\cos (3 x) + \cos (x) = 0$
215602	Write Using Positive Exponents	-3^-2	$- 3^{- 2}$
215603	Solve for n	1/14n+6/17n=-4+4	$\frac{1}{14} n + \frac{6}{17} n = - 4 + 4$
215604	Simplify	6÷2-(81÷(3^2))	$6 \div 2 - (81 \div 3^{2})$
215605	Solve for x	(16-2x)/-4=9	$\frac{16 - 2 x}{- 4} = 9$
215606	Solve for x	3^(4-3x)>(1/243)	$3^{4 - 3 x} > (\frac{1}{243})$
215607	Evaluate Using the Given Value	The value of the expression x/y when x=35 and y=7 is	The value of the expression $\frac{x}{y}$ when $x = 35$ and $y = 7$ is
215608	Solve for p	-75=15(p+2)	$- 75 = 15 (p + 2)$
215609	Simplify	((2x)^3)/(2x^3)*4x^5	$\frac{{(2 x)}^{3}}{2 x^{3}} \cdot 4 x^{5}$
215610	Solve for x	-2cos(x)^2+sin(x)+1=0	$- 2 \cos^{2} (x) + \sin (x) + 1 = 0$
215611	Graph	x<=y/9	$x \leq \frac{y}{9}$
215612	Convert to Radical Form	square root of 5* cube root of 5	$\sqrt{5} \cdot \sqrt[3]{5}$
215613	Solve for m	m = square root of 56-m	$m = \sqrt{56 - m}$
215614	Expand the Logarithmic Expression	log base 2 of fourth root of c^10d^16	$\log_{2} (\sqrt[4]{c^{10} d^{16}})$
215615	Solve the Rational Equation for x	-(3x)/(x-6)-1/(x+1)=6/(x^2-5x-6)	$- \frac{3 x}{x - 6} - \frac{1}{x + 1} = \frac{6}{x^{2} - 5 x - 6}$
215616	Solve for x	c=(ax+by)f	$c = (a x + b y) f$
215617	Write in Standard Form	(7-4k^2+k)+(8k+5k^2-7)	$(7 - 4 k^{2} + k) + (8 k + 5 k^{2} - 7)$
215618	Simplify the Radical Expression	2 cube root of 24a^2+ cube root of 81a^2-6 cube root of 3a^2	$2 \sqrt[3]{24 a^{2}} + \sqrt[3]{81 a^{2}} - 6 \sqrt[3]{3 a^{2}}$
215619	Solve for x	2x^2-4x+5=-3	$2 x^{2} - 4 x + 5 = - 3$
215620	Solve the Absolute Value Inequality for x	\|2x+7\|+7>6	$\| 2 x + 7 \| + 7 > 6$
215621	Find g(f(x))	f(x)=-3x g(x)=-x+8	$f (x) = - 3 x$ $g (x) = - x + 8$
215622	Determine if True	(2-(1-cos(x)^2))=(1+cos(x)^2)	$(2 - (1 - \cos^{2} (x))) = (1 + \cos^{2} (x))$
215623	Solve for s	s^2=0	$s^{2} = 0$
215624	Find the Exact Value	3/4+((1/3)÷(1/6))-(-1/2)	$\frac{3}{4} + (\frac{1}{3} \div \frac{1}{6}) - (- \frac{1}{2})$
215625	Combine Like Terms	9x-5x+2x-1	$9 x - 5 x + 2 x - 1$
215626	Evaluate	5^2(1/40)+6^2(1/8)+7^2(3/10)+8^2(7/40)+9^2(11/40)+10^2(1/20)+11^2(1/20)	$5^{2} (\frac{1}{40}) + 6^{2} (\frac{1}{8}) + 7^{2} (\frac{3}{10}) + 8^{2} (\frac{7}{40}) + 9^{2} (\frac{11}{40}) + 10^{2} (\frac{1}{20}) + 11^{2} (\frac{1}{20})$
215627	Simplify	(x^7(-y^8z^5)^2)^3	${(x^{7} {(- y^{8} z^{5})}^{2})}^{3}$
215628	Write in Standard Form	(3x^2+x-1)(2x^2+4x+4)	$(3 x^{2} + x - 1) (2 x^{2} + 4 x + 4)$
215629	Solve for y	y^2+y=20	$y^{2} + y = 20$
215630	Solve the Rational Equation for x	(4^(x/2))(4^(x/5))=4^14	$(4^{\frac{x}{2}}) (4^{\frac{x}{5}}) = 4^{14}$
215631	Write in Standard Form	(-2x^2-2x+1)+(-8x^2-7)	$(- 2 x^{2} - 2 x + 1) + (- 8 x^{2} - 7)$
215632	Solve Using the Quadratic Formula	10x^2-6x+4=-3x	$10 x^{2} - 6 x + 4 = - 3 x$
215633	Divide	( sixth root of 4)/( cube root of 4)	$\frac{\sqrt[6]{4}}{\sqrt[3]{4}}$
215634	Simplify	(2/3)^2+(1/3)^2	${(\frac{2}{3})}^{2} + {(\frac{1}{3})}^{2}$
215635	Graph	-16<x/-4+6<=-2	$- 16 < \frac{x}{- 4} + 6 \leq - 2$
215636	Graph	y=-5x-2 y+2=-5x	$y = - 5 x - 2$ $y + 2 = - 5 x$
215637	Simplify	(a+ square root of ab)/( square root of a+ square root of b)	$\frac{a + \sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
215638	Find the Holes in the Graph	(-5x)/(3x+11)	$\frac{- 5 x}{3 x + 11}$
215639	Subtract	(2x-7y)/(2x^2y)-(5y-8x)/(5xy^2)	$\frac{2 x - 7 y}{2 x^{2} y} - \frac{5 y - 8 x}{5 x y^{2}}$
215640	Solve for k	5+6^(2k-9)=14	$5 + 6^{2 k - 9} = 14$
215641	Factor	xy^2+xy	$x y^{2} + x y$
215642	Simplify	(36c+24)/6-(20c-16)/4	$\frac{36 c + 24}{6} - \frac{20 c - 16}{4}$
215643	Evaluate	(2a)/3-(3a)/2=-5/2	$\frac{2 a}{3} - \frac{3 a}{2} = - \frac{5}{2}$
215644	Evaluate	3*8-4÷2+1/2	$3 \cdot 8 - 4 \div 2 + \frac{1}{2}$
215645	Find the Exact Value	log base 25 of 1/125	$\log_{25} (\frac{1}{125})$
215646	Solve for s	18s-6(6s-1)=-20s	$18 s - 6 (6 s - 1) = - 20 s$
215647	Solve for y	-180/y=15	$- \frac{180}{y} = 15$
215648	Simplify the Radical Expression	x square root of 54x^4y^6	$x \sqrt{54 x^{4} y^{6}}$
215649	Solve the System of Equations	y+z=4 x+z=8 x+2y+2z=12	$y + z = 4$ $x + z = 8$ $x + 2 y + 2 z = 12$
215650	Simplify	(x+10)(x-1)(x-1)(x-1)	$(x + 10) (x - 1) (x - 1) (x - 1)$
215651	Solve for d	square root of 7d+2 = square root of 10d-1	$\sqrt{7 d + 2} = \sqrt{10 d - 1}$
215652	Write in Standard Form	-2/3x=6-2y	$- \frac{2}{3} x = 6 - 2 y$
215653	Solve the System of Inequalities	12x-39<=9 AND -4x+3<-6	$12 x - 39 \leq 9$ AND $- 4 x + 3 < - 6$
215654	Convert to a Percentage	what percent of 60 is 15	what percent of $60$ is $15$
215655	Evaluate	3*1+3^2-6÷2	$3 \cdot 1 + 3^{2} - 6 \div 2$
215656	Solve the Inequality for p	p-4<2	$p - 4 < 2$
215657	Multiply	4x^(5/4)*2x^(1/2)	$4 x^{\frac{5}{4}} \cdot 2 x^{\frac{1}{2}}$
215658	Write as a Single Logarithm	1-3 natural log of x+4 natural log of y+1/2 natural log of z	$1 - 3 \ln (x) + 4 \ln (y) + \frac{1}{2} \ln (z)$
215659	Simplify	(20n+11n^4)-(15n+16n^2-17n^4)	$(20 n + 11 n^{4}) - (15 n + 16 n^{2} - 17 n^{4})$
215660	Simplify/Condense	log of 3x- log of 10	$\log (3 x) - \log (10)$
215661	Multiply	-4mn^3*(-3m^2n+12mn^2-6m+7n^2)	$- 4 m n^{3} \cdot (- 3 m^{2} n + 12 m n^{2} - 6 m + 7 n^{2})$
215662	Expand the Logarithmic Expression	log of x/( cube root of yz^4)	$\log (\frac{x}{\sqrt[3]{y z^{4}}})$
215663	Simplify	3^3x^4y^0	$3^{3} x^{4} y^{0}$
215664	Solve for b	-12b-8-18=-5(3b+1)	$- 12 b - 8 - 18 = - 5 (3 b + 1)$
215665	Solve the System of Inequalities	m+3>=5 and m+3<7	$m + 3 \geq 5$ and $m + 3 < 7$
215666	Solve for c	9(c-685)=35	$9 (c - 685) = 35$
215667	Solve the System of Equations	x+3y=-15 y=-7	$x + 3 y = - 15$ $y = - 7$
215668	Graph	(1+x)^(1/x)	${(1 + x)}^{\frac{1}{x}}$
215669	Solve for x	8-(x+8)/x=(x-5)/(4x)	$8 - \frac{x + 8}{x} = \frac{x - 5}{4 x}$
215670	Solve the System of Inequalities	x<2 and x>-2	$x < 2$ and $x > - 2$
215671	Evaluate	3(1/6x+9)=1/2x-27	$3 (\frac{1}{6} x + 9) = \frac{1}{2} x - 27$
215672	Solve the System of Equations	x-3y=13 5x+6z=41 2x+4y-z=5	$x - 3 y = 13$ $5 x + 6 z = 41$ $2 x + 4 y - z = 5$
215673	Solve for x	\|x\|-2>0	$\| x \| - 2 > 0$
215674	Solve the Inequality for n	\|n/4\|<=3	$\| \frac{n}{4} \| \leq 3$
215675	Solve for x	2-3x<=20	$2 - 3 x \leq 20$
215676	Solve the System of Equations	y=-x^2+1 y=2x+2	$y = - x^{2} + 1$ $y = 2 x + 2$
215677	Solve for x	5/x=-3/(x+4)	$\frac{5}{x} = - \frac{3}{x + 4}$
215678	Simplify	(5(x^2y^2)^3)/((x^2y^2)^-2)	$\frac{5 {(x^{2} y^{2})}^{3}}{{(x^{2} y^{2})}^{- 2}}$
215679	Find the Domain and Range	f(x)=(3x^3+2x^2)/(x^2+x)	$f (x) = \frac{3 x^{3} + 2 x^{2}}{x^{2} + x}$
215680	Find the Domain and Range	- square root of x-1+4	$- \sqrt{x - 1} + 4$
215681	Simplify	(3+2yi)(4+5i)+(3+2yi)(3-5i)	$(3 + 2 y i) (4 + 5 i) + (3 + 2 y i) (3 - 5 i)$
215682	Solve the Inequality for x	1/4x-2<-1 1/2	$\frac{1}{4} x - 2 < - 1 \frac{1}{2}$
215683	Graph	(12/13,-5/13)	$(\frac{12}{13}, - \frac{5}{13})$
215684	Write the Fraction in Simplest Form	(3(m)^3)/(2m^-9)	$\frac{3 {(m)}^{3}}{2 m^{- 9}}$
215685	Simplify	7x^2y-2xy^2-6x^2y+3xy^2-xy+8	$7 x^{2} y - 2 x y^{2} - 6 x^{2} y + 3 x y^{2} - x y + 8$
215686	Solve the Inequality for x	9-x/4<0	$9 - \frac{x}{4} < 0$
215687	Find the Holes in the Graph	f(x)=(x^3+3x^2)/(x^2+2x-3)	$f (x) = \frac{x^{3} + 3 x^{2}}{x^{2} + 2 x - 3}$
215688	Solve for v	v^2=0	$v^{2} = 0$
215689	Evaluate	5^(x+1)=106	$5^{x + 1} = 106$
215690	Solve for x	3/4(x+5 1/2)=5/8	$\frac{3}{4} (x + 5 \frac{1}{2}) = \frac{5}{8}$
215691	Simplify	(6m^2n^2-11m^2n^4)+(-9m^2n^2-m^3n^3-10m^2)+(-10m^2n^4-5m^2n^2)	$(6 m^{2} n^{2} - 11 m^{2} n^{4}) + (- 9 m^{2} n^{2} - m^{3} n^{3} - 10 m^{2}) + (- 10 m^{2} n^{4} - 5 m^{2} n^{2})$
215692	Graph	y = cube root of (3x)/(4pi)	$y = \sqrt[3]{\frac{3 x}{4 π}}$
215693	Graph	h(x)=5+3x^2-x^4	$h (x) = 5 + 3 x^{2} - x^{4}$
215694	Solve the Inequality for d	\|d+1\|<=6	$\| d + 1 \| \leq 6$
215695	Factor	x(b^2-a)+6(b^2-a)	$x (b^{2} - a) + 6 (b^{2} - a)$
215696	Simplify	(x+(-17))(x+(-17))	$(x + (- 17)) (x + (- 17))$
215697	Write in Standard Form	x^3-3x^2y+3xy^2-y^3	$x^{3} - 3 x^{2} y + 3 x y^{2} - y^{3}$
215698	Simplify	fifth root of c/(8ab^4)	$\sqrt[5]{\frac{c}{8 a b^{4}}}$
215699	Simplify	3 square root of 5a*8 square root of 35a^2	$3 \sqrt{5 a \cdot 8 \sqrt{35 a^{2}}}$
215700	Solve the System of Inequalities	4x+4y<16 x>y+16	$4 x + 4 y < 16$ $x > y + 16$