Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206501	Evaluate	(-4+12-6^2)÷7	$(- 4 + 12 - 6^{2}) \div 7$
206502	Find the Domain and Range	c=5/9F-160/9	$c = \frac{5}{9} F - \frac{160}{9}$
206503	Find the Degree, Leading Term, and Leading Coefficient	-(x^3)/6-10+x	$- \frac{x^{3}}{6} - 10 + x$
206504	Find the Inverse	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
206505	Solve for y	4-3y=x	$4 - 3 y = x$
206506	Describe the Transformation	y=(x)^3+6	$y = {(x)}^{3} + 6$
206507	Graph	y>=3 y>=2x-1	$y \geq 3$ $y \geq 2 x - 1$
206508	Solve for x	2x=5-(9x)/18	$2 x = 5 - \frac{9 x}{18}$
206509	Simplify	(3x^2+x-4)-(4x-6+8x^2)	$(3 x^{2} + x - 4) - (4 x - 6 + 8 x^{2})$
206510	Multiply	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
206511	Solve for m	0.5-0.2+2m=-0.3+3.5m	$0.5 - 0.2 + 2 m = - 0.3 + 3.5 m$
206512	Solve for x	(4^3)/(4^(2x))=4^(x+3)	$\frac{4^{3}}{4^{2 x}} = 4^{x + 3}$
206513	Simplify	sixth root of 3^5* sixth root of 3^5	$\sqrt[6]{3^{5}} \cdot \sqrt[6]{3^{5}}$
206514	Convert to a Decimal	sin(180)deg	$\sin (180)$ degrees
206515	Simplify	(3y^2+2x^2)^3	${(3 y^{2} + 2 x^{2})}^{3}$
206516	Convert to Radical Form	1/((5x)^(1/5))	$\frac{1}{{(5 x)}^{\frac{1}{5}}}$
206517	Simplify	(6c^2-10c+2c^3)-(7c+4c^2+1)	$(6 c^{2} - 10 c + 2 c^{3}) - (7 c + 4 c^{2} + 1)$
206518	Simplify the Radical Expression	square root of 3/(7x)	$\sqrt{\frac{3}{7 x}}$
206519	Solve for x	4^(16x-58)=(1/2)^(-2x^2-4)	$4^{16 x - 58} = {(\frac{1}{2})}^{- 2 x^{2} - 4}$
206520	Multiply	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
206521	Simplify the Radical Expression	3/( cube root of 3)	$\frac{3}{\sqrt[3]{3}}$
206522	Simplify	((x-5)3/2)^(2/3)	${((x - 5) \frac{3}{2})}^{\frac{2}{3}}$
206523	Solve the Inequality for x	4(5+2^2)<3(3-x)	$4 (5 + 2^{2}) < 3 (3 - x)$
206524	Solve for l	A=lw for l	$A = l w$ for $l$
206525	Solve for q	2(q+p)=1+5q	$2 (q + p) = 1 + 5 q$
206526	Simplify	(3x^3+6x^2-18x)+(4x^2-24x+8)	$(3 x^{3} + 6 x^{2} - 18 x) + (4 x^{2} - 24 x + 8)$
206527	Simplify	(x^2-3x)-(2x^2+5x)	$(x^{2} - 3 x) - (2 x^{2} + 5 x)$
206528	Solve for x	7+(x-4)^2=11	$7 + {(x - 4)}^{2} = 11$
206529	Find the Exact Value	2^3-3÷3+4	$2^{3} - 3 \div 3 + 4$
206530	Evaluate	((2^0*5^2)/3)^0	${(\frac{2^{0} \cdot 5^{2}}{3})}^{0}$
206531	Determine if True	sec(theta)=1/(cos(theta))	$\sec (θ) = \frac{1}{\cos (θ)}$
206532	Write Using Positive Exponents	x^5y^-3	$x^{5} y^{- 3}$
206533	Find the Roots (Zeros)	y=x(x-8)^2	$y = x {(x - 8)}^{2}$
206534	Simplify	square root of 3x* square root of x	$\sqrt{3 x} \cdot \sqrt{x}$
206535	Solve for x	2/3(-3.1-x)=5	$\frac{2}{3} (- 3.1 - x) = 5$
206536	Evaluate the Function	f(-2)=-3(-2)^3-2	$f (- 2) = - 3 {(- 2)}^{3} - 2$
206537	Solve for n	log base n of 36=2	$\log_{n} (36) = 2$
206538	Simplify	(3 square root of 2- square root of 3)(3 square root of 2+ square root of 3)	$(3 \sqrt{2} - \sqrt{3}) (3 \sqrt{2} + \sqrt{3})$
206539	Solve the Inequality for x	1/4x+1<5	$\frac{1}{4} x + 1 < 5$
206540	Solve the System of Inequalities	2x+7y>5 and 3x-y<=2	$2 x + 7 y > 5$ and $3 x - y \leq 2$
206541	Simplify	(4a^3-8a^2+a^2)(4a)^-1	$(4 a^{3} - 8 a^{2} + a^{2}) {(4 a)}^{- 1}$
206542	Solve for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$
206543	Graph	y=1/2 cube root of x+1+4	$y = \frac{1}{2} \sqrt[3]{x + 1} + 4$
206544	Solve for c	a=(a+b+c)/3	$a = \frac{a + b + c}{3}$
206545	Determine if a Polynomial	9y^5+y-3y^3	$9 y^{5} + y - 3 y^{3}$
206546	Divide	(-25x^4y^3+30x^2y^5)/(-5x^2y)	$\frac{- 25 x^{4} y^{3} + 30 x^{2} y^{5}}{- 5 x^{2} y}$
206547	Solve for x	cube root of x^2-3 cube root of x+2=0	$\sqrt[3]{x^{2}} - 3 \sqrt[3]{x} + 2 = 0$
206548	Solve for d	10500=pi/6d^3	$10500 = \frac{π}{6} d^{3}$
206549	Simplify	7/(-10- square root of 17)	$\frac{7}{- 10 - \sqrt{17}}$
206550	Write the Fraction in Simplest Form	(4(s^4)^4)/(20s^8)	$\frac{4 {(s^{4})}^{4}}{20 s^{8}}$
206551	Factor	90x^3y+480x^2y^2+640xy^3	$90 x^{3} y + 480 x^{2} y^{2} + 640 x y^{3}$
206552	Simplify	3w-8k+12w+w-5k	$3 w - 8 k + 12 w + w - 5 k$
206553	Simplify	(-3i^4)^3	${(- 3 i^{4})}^{3}$
206554	Write in Standard Form	(5d+5)-(d+1)	$(5 d + 5) - (d + 1)$
206555	Simplify the Radical Expression	5/(4- square root of 3)	$\frac{5}{4 - \sqrt{3}}$
206556	Simplify	(a^6b^7c^7)/(a^-2b^3c^0)	$\frac{a^{6} b^{7} c^{7}}{a^{- 2} b^{3} c^{0}}$
206557	Multiply	(2a^3)(7b+a^2b-2a)	$(2 a^{3}) (7 b + a^{2} b - 2 a)$
206558	Solve the Rational Equation for x	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
206559	Find the Exact Value	sin(arctan(( square root of 3)/3))	$\sin (\arctan (\frac{\sqrt{3}}{3}))$
206560	Simplify	cube root of square root of 125x^3y^3	$\sqrt[3]{\sqrt{125 x^{3} y^{3}}}$
206561	Simplify the Radical Expression	fourth root of 81x^6y^18	$\sqrt[4]{81 x^{6} y^{18}}$
206562	Simplify	(27*64)^(2/3)	${(27 \cdot 64)}^{\frac{2}{3}}$
206563	Simplify	(m^2+m-6)÷(m+4)	$(m^{2} + m - 6) \div (m + 4)$
206564	Solve the System of Equations	y=x+1 3x+y=-7	$y = x + 1$ $3 x + y = - 7$
206565	Simplify	(4/(4^-3))^-2	${(\frac{4}{4^{- 3}})}^{- 2}$
206566	Solve for n	7/9=n+2/3	$\frac{7}{9} = n + \frac{2}{3}$
206567	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10-6x-x^4	$f (x) = - 10 - 6 x - x^{4}$
206568	Simplify	( cube root of 40x)÷( cube root of 5x^2)	$\sqrt[3]{40 x} \div \sqrt[3]{5 x^{2}}$
206569	Multiply	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
206570	Solve for x	log base 2 of 3x^2+4- log base 2 of 2x+6=3	$\log_{2} (3 x^{2} + 4) - \log_{2} (2 x + 6) = 3$
206571	Find the Domain and Range	y=3sin(x-4pi)	$y = 3 \sin (x - 4 π)$
206572	Find the Product	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
206573	Solve the Inequality for x	-5<=7-2/3x<-1	$- 5 \leq 7 - \frac{2}{3} x < - 1$
206574	Simplify	square root of 7^3* square root of 7^5	$\sqrt{7^{3}} \cdot \sqrt{7^{5}}$
206575	Solve the System of Equations	a+4b=-4 a+10b=-16	$a + 4 b = - 4$ $a + 10 b = - 16$
206576	Simplify the Radical Expression	square root of xy^5z^20	$\sqrt{x y^{5} z^{20}}$
206577	Solve for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
206578	Simplify the Radical Expression	3 square root of 20-2 square root of 24+ square root of 180- square root of 54	$3 \sqrt{20} - 2 \sqrt{24} + \sqrt{180} - \sqrt{54}$
206579	Solve for b	cube root of b-4=0	$\sqrt[3]{b} - 4 = 0$
206580	Divide	(-26/5)÷(-5)	$- \frac{26}{5} \div (- 5)$
206581	Simplify	square root of (a^2+4a)^12	$\sqrt{{(a^{2} + 4 a)}^{12}}$
206582	Rationalize the Denominator	fifth root of (5n)/(16m^5)	$\sqrt[5]{\frac{5 n}{16 m^{5}}}$
206583	Simplify	square root of 2( square root of 5-6 square root of 12)+ square root of 40	$\sqrt{2} (\sqrt{5} - 6 \sqrt{12}) + \sqrt{40}$
206584	Simplify	(12^(3/5)*8^(3/5))^5	${(12^{\frac{3}{5}} \cdot 8^{\frac{3}{5}})}^{5}$
206585	Simplify	x cube root of 189x^9y^11	$x \sqrt[3]{189 x^{9} y^{11}}$
206586	Evaluate	5(25)^(-1/2)	$5 {(25)}^{- \frac{1}{2}}$
206587	Graph	0<-2x+2<=6	$0 < - 2 x + 2 \leq 6$
206588	Simplify the Radical Expression	(-45 square root of 156)/(9 square root of 3)	$\frac{- 45 \sqrt{156}}{9 \sqrt{3}}$
206589	Factor	x^2-12=x	$x^{2} - 12 = x$
206590	Simplify	(3/(2p^2))^(2/3)	${(\frac{3}{2 p^{2}})}^{\frac{2}{3}}$
206591	Determine if a Polynomial	-10y^3 square root of 2-y^4	$- 10 y^{3} \sqrt{2} - y^{4}$
206592	Write the Fraction in Simplest Form	(15q)/((3q^3)^2)	$\frac{15 q}{{(3 q^{3})}^{2}}$
206593	Solve the System of Equations	h+2k=3 3h+6k=9	$h + 2 k = 3$ $3 h + 6 k = 9$
206594	Simplify	-3x^-7y*x^5y^-3	$- 3 x^{- 7} y \cdot x^{5} y^{- 3}$
206595	Find the Domain and Range	y=2(3)^(x+2)-5	$y = 2 {(3)}^{x + 2} - 5$
206596	Simplify	(5a)/(24cf^4)+a/(36bc^4f^3)	$\frac{5 a}{24 c f^{4}} + \frac{a}{36 b c^{4} f^{3}}$
206597	Solve for a	(2a+b)/c=d	$\frac{2 a + b}{c} = d$
206598	Simplify	(a^3b^4)^-2(a^-3b^-5)^-4	${(a^{3} b^{4})}^{- 2} {(a^{- 3} b^{- 5})}^{- 4}$
206599	Solve the System of Equations	x^2-4y=12 y=-1/2x-4	$x^{2} - 4 y = 12$ $y = - \frac{1}{2} x - 4$
206600	Write as a Single Logarithm	1/2 log base 8 of x+ log base 8 of y	$\frac{1}{2} \log_{8} (x) + \log_{8} (y)$