Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206501	Solve by Graphing	y=x+4 y=-3/2x-6	$y = x + 4$ $y = - \frac{3}{2} x - 6$
206502	Simplify	cot(theta)+1/(tan(theta))+(cos(theta))/(sin(theta))	$\cot (θ) + \frac{1}{\tan (θ)} + \frac{\cos (θ)}{\sin (θ)}$
206503	Solve the Rational Equation for m	-7 fourth root of m+1=14	$- 7 \sqrt[4]{m + 1} = 14$
206504	Simplify	4y^3 cube root of 81x^8y^8	$4 y^{3} \sqrt[3]{81 x^{8} y^{8}}$
206505	Simplify	-3(0.15-0.2+0.25p)	$- 3 (0.15 - 0.2 + 0.25 p)$
206506	Find the Domain and Range	y=- square root of x-1+4	$y = - \sqrt{x - 1 + 4}$
206507	Solve Using the Quadratic Formula	(2x-1)(2x+1)=x(2x+3)	$(2 x - 1) (2 x + 1) = x (2 x + 3)$
206508	Convert to a Decimal	pirad	$π$ radians
206509	Evaluate	5x-7x+6=-2(x-3)	$5 x - 7 x + 6 = - 2 (x - 3)$
206510	Simplify	sixth root of 1/(w^-6*w^4)	$\sqrt[6]{\frac{1}{w^{- 6} \cdot w^{4}}}$
206511	Write the Fraction in Simplest Form	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
206512	Solve for x	(1/9)^(-2x-42)=(1/3)^(-2x^2-14)	${(\frac{1}{9})}^{- 2 x - 42} = {(\frac{1}{3})}^{- 2 x^{2} - 14}$
206513	Solve for θ	pi/2<theta<pi	$\frac{π}{2} < θ < π$
206514	Solve by Addition/Elimination	x=2y-3 2x-3y=-5	$x = 2 y - 3$ $2 x - 3 y = - 5$
206515	Simplify	6*6^-2	$6 \cdot 6^{- 2}$
206516	Evaluate	(-4+12-6^2)÷7	$(- 4 + 12 - 6^{2}) \div 7$
206517	Find the Domain and Range	c=5/9F-160/9	$c = \frac{5}{9} F - \frac{160}{9}$
206518	Find the Degree, Leading Term, and Leading Coefficient	-(x^3)/6-10+x	$- \frac{x^{3}}{6} - 10 + x$
206519	Find the Inverse	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
206520	Solve for y	4-3y=x	$4 - 3 y = x$
206521	Describe the Transformation	y=(x)^3+6	$y = {(x)}^{3} + 6$
206522	Graph	y>=3 y>=2x-1	$y \geq 3$ $y \geq 2 x - 1$
206523	Solve for x	2x=5-(9x)/18	$2 x = 5 - \frac{9 x}{18}$
206524	Simplify	(3x^2+x-4)-(4x-6+8x^2)	$(3 x^{2} + x - 4) - (4 x - 6 + 8 x^{2})$
206525	Multiply	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
206526	Solve for m	0.5-0.2+2m=-0.3+3.5m	$0.5 - 0.2 + 2 m = - 0.3 + 3.5 m$
206527	Solve for x	(4^3)/(4^(2x))=4^(x+3)	$\frac{4^{3}}{4^{2 x}} = 4^{x + 3}$
206528	Simplify	sixth root of 3^5* sixth root of 3^5	$\sqrt[6]{3^{5}} \cdot \sqrt[6]{3^{5}}$
206529	Convert to a Decimal	sin(180)deg	$\sin (180)$ degrees
206530	Simplify	(3y^2+2x^2)^3	${(3 y^{2} + 2 x^{2})}^{3}$
206531	Convert to Radical Form	1/((5x)^(1/5))	$\frac{1}{{(5 x)}^{\frac{1}{5}}}$
206532	Simplify	(6c^2-10c+2c^3)-(7c+4c^2+1)	$(6 c^{2} - 10 c + 2 c^{3}) - (7 c + 4 c^{2} + 1)$
206533	Simplify the Radical Expression	square root of 3/(7x)	$\sqrt{\frac{3}{7 x}}$
206534	Solve for x	4^(16x-58)=(1/2)^(-2x^2-4)	$4^{16 x - 58} = {(\frac{1}{2})}^{- 2 x^{2} - 4}$
206535	Multiply	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
206536	Simplify the Radical Expression	3/( cube root of 3)	$\frac{3}{\sqrt[3]{3}}$
206537	Simplify	((x-5)3/2)^(2/3)	${((x - 5) \frac{3}{2})}^{\frac{2}{3}}$
206538	Solve the Inequality for x	4(5+2^2)<3(3-x)	$4 (5 + 2^{2}) < 3 (3 - x)$
206539	Solve for l	A=lw for l	$A = l w$ for $l$
206540	Solve for q	2(q+p)=1+5q	$2 (q + p) = 1 + 5 q$
206541	Simplify	(3x^3+6x^2-18x)+(4x^2-24x+8)	$(3 x^{3} + 6 x^{2} - 18 x) + (4 x^{2} - 24 x + 8)$
206542	Simplify	(x^2-3x)-(2x^2+5x)	$(x^{2} - 3 x) - (2 x^{2} + 5 x)$
206543	Solve for x	7+(x-4)^2=11	$7 + {(x - 4)}^{2} = 11$
206544	Find the Exact Value	2^3-3÷3+4	$2^{3} - 3 \div 3 + 4$
206545	Evaluate	((2^0*5^2)/3)^0	${(\frac{2^{0} \cdot 5^{2}}{3})}^{0}$
206546	Determine if True	sec(theta)=1/(cos(theta))	$\sec (θ) = \frac{1}{\cos (θ)}$
206547	Write Using Positive Exponents	x^5y^-3	$x^{5} y^{- 3}$
206548	Find the Roots (Zeros)	y=x(x-8)^2	$y = x {(x - 8)}^{2}$
206549	Simplify	square root of 3x* square root of x	$\sqrt{3 x} \cdot \sqrt{x}$
206550	Solve for x	2/3(-3.1-x)=5	$\frac{2}{3} (- 3.1 - x) = 5$
206551	Evaluate the Function	f(-2)=-3(-2)^3-2	$f (- 2) = - 3 {(- 2)}^{3} - 2$
206552	Solve for n	log base n of 36=2	$\log_{n} (36) = 2$
206553	Simplify	(3 square root of 2- square root of 3)(3 square root of 2+ square root of 3)	$(3 \sqrt{2} - \sqrt{3}) (3 \sqrt{2} + \sqrt{3})$
206554	Solve the Inequality for x	1/4x+1<5	$\frac{1}{4} x + 1 < 5$
206555	Solve the System of Inequalities	2x+7y>5 and 3x-y<=2	$2 x + 7 y > 5$ and $3 x - y \leq 2$
206556	Simplify	(4a^3-8a^2+a^2)(4a)^-1	$(4 a^{3} - 8 a^{2} + a^{2}) {(4 a)}^{- 1}$
206557	Solve for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$
206558	Graph	y=1/2 cube root of x+1+4	$y = \frac{1}{2} \sqrt[3]{x + 1} + 4$
206559	Solve for c	a=(a+b+c)/3	$a = \frac{a + b + c}{3}$
206560	Determine if a Polynomial	9y^5+y-3y^3	$9 y^{5} + y - 3 y^{3}$
206561	Divide	(-25x^4y^3+30x^2y^5)/(-5x^2y)	$\frac{- 25 x^{4} y^{3} + 30 x^{2} y^{5}}{- 5 x^{2} y}$
206562	Solve for x	cube root of x^2-3 cube root of x+2=0	$\sqrt[3]{x^{2}} - 3 \sqrt[3]{x} + 2 = 0$
206563	Solve for d	10500=pi/6d^3	$10500 = \frac{π}{6} d^{3}$
206564	Simplify	7/(-10- square root of 17)	$\frac{7}{- 10 - \sqrt{17}}$
206565	Write the Fraction in Simplest Form	(4(s^4)^4)/(20s^8)	$\frac{4 {(s^{4})}^{4}}{20 s^{8}}$
206566	Factor	90x^3y+480x^2y^2+640xy^3	$90 x^{3} y + 480 x^{2} y^{2} + 640 x y^{3}$
206567	Simplify	3w-8k+12w+w-5k	$3 w - 8 k + 12 w + w - 5 k$
206568	Simplify	(-3i^4)^3	${(- 3 i^{4})}^{3}$
206569	Write in Standard Form	(5d+5)-(d+1)	$(5 d + 5) - (d + 1)$
206570	Simplify the Radical Expression	5/(4- square root of 3)	$\frac{5}{4 - \sqrt{3}}$
206571	Simplify	(a^6b^7c^7)/(a^-2b^3c^0)	$\frac{a^{6} b^{7} c^{7}}{a^{- 2} b^{3} c^{0}}$
206572	Multiply	(2a^3)(7b+a^2b-2a)	$(2 a^{3}) (7 b + a^{2} b - 2 a)$
206573	Solve the Rational Equation for x	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
206574	Find the Exact Value	sin(arctan(( square root of 3)/3))	$\sin (\arctan (\frac{\sqrt{3}}{3}))$
206575	Simplify	cube root of square root of 125x^3y^3	$\sqrt[3]{\sqrt{125 x^{3} y^{3}}}$
206576	Simplify the Radical Expression	fourth root of 81x^6y^18	$\sqrt[4]{81 x^{6} y^{18}}$
206577	Simplify	(27*64)^(2/3)	${(27 \cdot 64)}^{\frac{2}{3}}$
206578	Simplify	(m^2+m-6)÷(m+4)	$(m^{2} + m - 6) \div (m + 4)$
206579	Solve the System of Equations	y=x+1 3x+y=-7	$y = x + 1$ $3 x + y = - 7$
206580	Simplify	(4/(4^-3))^-2	${(\frac{4}{4^{- 3}})}^{- 2}$
206581	Solve for n	7/9=n+2/3	$\frac{7}{9} = n + \frac{2}{3}$
206582	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10-6x-x^4	$f (x) = - 10 - 6 x - x^{4}$
206583	Simplify	( cube root of 40x)÷( cube root of 5x^2)	$\sqrt[3]{40 x} \div \sqrt[3]{5 x^{2}}$
206584	Multiply	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
206585	Solve for x	log base 2 of 3x^2+4- log base 2 of 2x+6=3	$\log_{2} (3 x^{2} + 4) - \log_{2} (2 x + 6) = 3$
206586	Find the Domain and Range	y=3sin(x-4pi)	$y = 3 \sin (x - 4 π)$
206587	Find the Product	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
206588	Solve the Inequality for x	-5<=7-2/3x<-1	$- 5 \leq 7 - \frac{2}{3} x < - 1$
206589	Simplify	square root of 7^3* square root of 7^5	$\sqrt{7^{3}} \cdot \sqrt{7^{5}}$
206590	Solve the System of Equations	a+4b=-4 a+10b=-16	$a + 4 b = - 4$ $a + 10 b = - 16$
206591	Simplify the Radical Expression	square root of xy^5z^20	$\sqrt{x y^{5} z^{20}}$
206592	Solve for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
206593	Simplify the Radical Expression	3 square root of 20-2 square root of 24+ square root of 180- square root of 54	$3 \sqrt{20} - 2 \sqrt{24} + \sqrt{180} - \sqrt{54}$
206594	Solve for b	cube root of b-4=0	$\sqrt[3]{b} - 4 = 0$
206595	Divide	(-26/5)÷(-5)	$- \frac{26}{5} \div (- 5)$
206596	Simplify	square root of (a^2+4a)^12	$\sqrt{{(a^{2} + 4 a)}^{12}}$
206597	Rationalize the Denominator	fifth root of (5n)/(16m^5)	$\sqrt[5]{\frac{5 n}{16 m^{5}}}$
206598	Simplify	square root of 2( square root of 5-6 square root of 12)+ square root of 40	$\sqrt{2} (\sqrt{5} - 6 \sqrt{12}) + \sqrt{40}$
206599	Simplify	(12^(3/5)*8^(3/5))^5	${(12^{\frac{3}{5}} \cdot 8^{\frac{3}{5}})}^{5}$
206600	Simplify	x cube root of 189x^9y^11	$x \sqrt[3]{189 x^{9} y^{11}}$