Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
206401	Solve by Addition/Elimination	3y=26-5x 6x+7y=21	$3 y = 26 - 5 x$ $6 x + 7 y = 21$
206402	Solve for q	q^2=2q+4	$q^{2} = 2 q + 4$
206403	Simplify	(-5+7i)-(-6+i)-(-6+5i)	$(- 5 + 7 i) - (- 6 + i) - (- 6 + 5 i)$
206404	Graph	y=sin(3x+2pi)-2	$y = \sin (3 x + 2 π) - 2$
206405	Solve for x	(1/36)^(12x+9)=6^(-3x^2+9)	${(\frac{1}{36})}^{12 x + 9} = 6^{- 3 x^{2} + 9}$
206406	Rationalize the Denominator	-6/(8+ square root of 2)	$\frac{- 6}{8 + \sqrt{2}}$
206407	Find the Degree, Leading Term, and Leading Coefficient	3x^4+6x-1/2x^3-1	$3 x^{4} + 6 x - \frac{1}{2} x^{3} - 1$
206408	Solve the System of Equations	y=1/2x+6 x+6y=12	$y = \frac{1}{2} x + 6$ $x + 6 y = 12$
206409	Solve the System of Inequalities	x<4 and x>-1	$x < 4$ and $x > - 1$
206410	Solve for x	3+(4-x)^(2/3)=12	$3 + {(4 - x)}^{\frac{2}{3}} = 12$
206411	Solve for y	(2y+6)^(1/4)-2=0	${(2 y + 6)}^{\frac{1}{4}} - 2 = 0$
206412	Factor	ay-a^4y^4	$a y - a^{4} y^{4}$
206413	Find the Roots (Zeros)	8x^3+12x^2+6x+1=0	$8 x^{3} + 12 x^{2} + 6 x + 1 = 0$
206414	Find the Inverse	f(x)=((x+2)^3-8)/5	$f (x) = \frac{{(x + 2)}^{3} - 8}{5}$
206415	Simplify the Radical Expression	square root of 2( square root of 6+ square root of 10)	$\sqrt{2} (\sqrt{6} + \sqrt{10})$
206416	Find the Holes in the Graph	(x^2+7x+10)/(2x^2-x-10)	$\frac{x^{2} + 7 x + 10}{2 x^{2} - x - 10}$
206417	Simplify	((60x^10y^7)/(5x^4y^3))^2	${(\frac{60 x^{10} y^{7}}{5 x^{4} y^{3}})}^{2}$
206418	Solve for x	x square root of 2 = square root of 14	$x \sqrt{2} = \sqrt{14}$
206419	Factor	27yx^6+y^7	$27 y x^{6} + y^{7}$
206420	Simplify	(2a^3b^2)^0(3a^2)^2	${(2 a^{3} b^{2})}^{0} {(3 a^{2})}^{2}$
206421	Find the Roots (Zeros)	y=x^4+3x^3+x^2-12x-20	$y = x^{4} + 3 x^{3} + x^{2} - 12 x - 20$
206422	Solve for x	(1/81)^(-3x-9)=9^(-3x^2-15x)	${(\frac{1}{81})}^{- 3 x - 9} = 9^{- 3 x^{2} - 15 x}$
206423	Simplify the Radical Expression	( square root of 3)^2	${(\sqrt{3})}^{2}$
206424	Evaluate	log base 5 of 5(5)^(1/3)	$\log_{5} (5 {(5)}^{\frac{1}{3}})$
206425	Simplify the Radical Expression	- square root of 5+6 square root of 5	$- \sqrt{5} + 6 \sqrt{5}$
206426	Divide	22 , 64÷394	$22$ , $64 \div 394$
206427	Solve for a	cube root of a+2=4	$\sqrt[3]{a + 2} = 4$
206428	Simplify the Radical Expression	square root of (-4)^2	$\sqrt{{(- 4)}^{2}}$
206429	Subtract	2 2/4-1 3/4	$2 \frac{2}{4} - 1 \frac{3}{4}$
206430	Simplify	(18m^2n-4mn^2)/(-2mn)	$\frac{18 m^{2} n - 4 m n^{2}}{- 2 m n}$
206431	Solve the Inequality for x	1/(16^(3x-4))<=64^(x-1)	$\frac{1}{16^{3 x - 4}} \leq 64^{x - 1}$
206432	Solve for x	square root of 2* cube root of 3 = sixth root of x	$\sqrt{2} \cdot \sqrt[3]{3} = \sqrt[6]{x}$
206433	Write the Fraction in Simplest Form	(x^4y^7)^(2/3)	${(x^{4} y^{7})}^{\frac{2}{3}}$
206434	Simplify	(x^(5/6))(x^(1/3))	$(x^{\frac{5}{6}}) (x^{\frac{1}{3}})$
206435	Determine if a Polynomial	9y^4-8x^2+3x^5	$9 y^{4} - 8 x^{2} + 3 x^{5}$
206436	Graph	F(x)=-tan(x)	$F (x) = - \tan (x)$
206437	Evaluate	limit as x approaches 0 of (sin(x))/x	$lim_{x \to 0} \frac{\sin (x)}{x}$
206438	Simplify the Radical Expression	5 square root of 7*2 square root of 7	$5 \sqrt{7} \cdot 2 \sqrt{7}$
206439	Simplify	-4/5(30x-40)+(42x+4)	$- \frac{4}{5} (30 x - 40) + (42 x + 4)$
206440	Find the x and y Intercepts	y=x^2(x+3)(x+1)(x-1)(x-3)	$y = x^{2} (x + 3) (x + 1) (x - 1) (x - 3)$
206441	Simplify	square root of -12/6	$\sqrt{\frac{- 12}{6}}$
206442	Find the Roots (Zeros)	3x^4+x^2-2=0	$3 x^{4} + x^{2} - 2 = 0$
206443	Simplify the Radical Expression	(2x)1/2	$(2 x) \frac{1}{2}$
206444	Simplify	(3y)/8*12/5	$\frac{3 y}{8} \cdot \frac{12}{5}$
206445	Solve for x	(-4(x+3))/-4+5x=45	$\frac{- 4 (x + 3)}{- 4} + 5 x = 45$
206446	Solve for x	1/10(x+11)=-2(8-x)	$\frac{1}{10} (x + 11) = - 2 (8 - x)$
206447	Simplify	4/3xy+4y-2(5/6xy+y-1)-(-1)	$\frac{4}{3} x y + 4 y - 2 (\frac{5}{6} x y + y - 1) - (- 1)$
206448	Solve for x	ax-b=cy	$a x - b = c y$
206449	Round to the Nearest Hundredth	2/3	$\frac{2}{3}$
206450	Solve for w	3w^2-4w=A	$3 w^{2} - 4 w = A$
206451	Simplify	(x^0y^-2)^(6/3)	${(x^{0} y^{- 2})}^{\frac{6}{3}}$
206452	Solve for y	log base 4 of 1/8=y	$\log_{4} (\frac{1}{8}) = y$
206453	Solve for x	(1/9)^(-2x^2+6x)=(1/81)^(-2x-36)	${(\frac{1}{9})}^{- 2 x^{2} + 6 x} = {(\frac{1}{81})}^{- 2 x - 36}$
206454	Solve for n	(9n-6)/7+2=(6n-2)/2	$\frac{9 n - 6}{7} + 2 = \frac{6 n - 2}{2}$
206455	Simplify	12 root of 4a^2b^2c^2	$\sqrt[12]{4 a^{2} b^{2} c^{2}}$
206456	Factor	y^(6a)+65y^(3a)+64	$y^{6 a} + 65 y^{3 a} + 64$
206457	Simplify/Condense	log of 4x+2* log of x-3	$\log (4 x) + 2 \cdot \log (x - 3)$
206458	Simplify	3x^2+(5x)*(5x)/10	$3 x^{2} + (5 x) \cdot \frac{5 x}{10}$
206459	Simplify	(6 cube root of 16-10 cube root of 32)÷2 cube root of 2	$(6 \sqrt[3]{16} - 10 \sqrt[3]{32}) \div 2 \sqrt[3]{2}$
206460	Combine Like Terms	11x+10y-8x-12y	$11 x + 10 y - 8 x - 12 y$
206461	Determine if a Polynomial	-6y^5z^5-(x^4)/3	$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$
206462	Solve for m	m=m_0/( square root of 1-((v^2)/(c^2)))	$m = \frac{m_{0}}{\sqrt{1 - (\frac{v^{2}}{c^{2}})}}$
206463	Simplify	(10^0r^-11*8)/(3^2)	$\frac{10^{0} r^{- 11} \cdot 8}{3^{2}}$
206464	Find the Product	(2+ square root of 3)(2- square root of 3)	$(2 + \sqrt{3}) (2 - \sqrt{3})$
206465	Graph	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$
206466	Simplify	8/(3y)+2/9-3/(10y^2)	$\frac{8}{3 y} + \frac{2}{9} - \frac{3}{10 y^{2}}$
206467	Simplify	4x+(7-z)-6y	$4 x + (7 - z) - 6 y$
206468	Simplify	(32^20-52^19)/((-2^6)^3)	$\frac{3 \cdot 2^{20} - 5 \cdot 2^{19}}{{(- 2^{6})}^{3}}$
206469	Convert to a Decimal	215deg	$215$ degrees
206470	Simplify	(2^(2/3))^3	${(2^{\frac{2}{3}})}^{3}$
206471	Simplify	i^10i^37i^36	$i^{10} \cdot i^{37} \cdot i^{36}$
206472	Solve for n	4 square root of 5n-20=16	$4 \sqrt{5 n - 20} = 16$
206473	Solve the Inequality for x	3^(4x-5)<8	$3^{4 x - 5} < 8$
206474	Simplify	((-3^2)^327)/(9^4(1/3)^3)	$\frac{{(- 3^{2})}^{3} \cdot 27}{9^{4} \cdot {(\frac{1}{3})}^{3}}$
206475	Divide	((9-x^2)/(3x))÷((x^2+6x+9)/(3x))	$\frac{9 - x^{2}}{3 x} \div \frac{x^{2} + 6 x + 9}{3 x}$
206476	Simplify	square root of 18x^2y+ square root of 8x^2y- square root of 50x^2y	$\sqrt{18 x^{2} y} + \sqrt{8 x^{2} y} - \sqrt{50 x^{2} y}$
206477	Simplify the Radical Expression	square root of 10+ square root of 10	$\sqrt{10} + \sqrt{10}$
206478	Graph	y=sin(2x+(3pi)/2)	$y = \sin (2 x + \frac{3 π}{2})$
206479	Solve the Inequality for b	b-27>=3	$b - 27 \geq 3$
206480	Evaluate	6(a+2b+3c)	$6 (a + 2 b + 3 c)$
206481	Simplify	Subtract 10x^2-10x+2 from -8x^2+7x-7	Subtract $10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$
206482	Simplify	sixth root of 3^5* fourth root of 3^3	$\sqrt[6]{3^{5}} \cdot \sqrt[4]{3^{3}}$
206483	Solve for x	5/(2x+6)-1/6=2/(x+4)	$\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}$
206484	Convert to Radical Form	10^(6/3)	$10^{\frac{6}{3}}$
206485	Simplify the Radical Expression	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
206486	Solve by Graphing	y=x+4 y=-3/2x-6	$y = x + 4$ $y = - \frac{3}{2} x - 6$
206487	Simplify	cot(theta)+1/(tan(theta))+(cos(theta))/(sin(theta))	$\cot (θ) + \frac{1}{\tan (θ)} + \frac{\cos (θ)}{\sin (θ)}$
206488	Solve the Rational Equation for m	-7 fourth root of m+1=14	$- 7 \sqrt[4]{m + 1} = 14$
206489	Simplify	4y^3 cube root of 81x^8y^8	$4 y^{3} \sqrt[3]{81 x^{8} y^{8}}$
206490	Simplify	-3(0.15-0.2+0.25p)	$- 3 (0.15 - 0.2 + 0.25 p)$
206491	Find the Domain and Range	y=- square root of x-1+4	$y = - \sqrt{x - 1 + 4}$
206492	Solve Using the Quadratic Formula	(2x-1)(2x+1)=x(2x+3)	$(2 x - 1) (2 x + 1) = x (2 x + 3)$
206493	Convert to a Decimal	pirad	$π$ radians
206494	Evaluate	5x-7x+6=-2(x-3)	$5 x - 7 x + 6 = - 2 (x - 3)$
206495	Simplify	sixth root of 1/(w^-6*w^4)	$\sqrt[6]{\frac{1}{w^{- 6} \cdot w^{4}}}$
206496	Write the Fraction in Simplest Form	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
206497	Solve for x	(1/9)^(-2x-42)=(1/3)^(-2x^2-14)	${(\frac{1}{9})}^{- 2 x - 42} = {(\frac{1}{3})}^{- 2 x^{2} - 14}$
206498	Solve for θ	pi/2<theta<pi	$\frac{π}{2} < θ < π$
206499	Solve by Addition/Elimination	x=2y-3 2x-3y=-5	$x = 2 y - 3$ $2 x - 3 y = - 5$
206500	Simplify	6*6^-2	$6 \cdot 6^{- 2}$