Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
214801	Simplify	3x^44x^-2x^3	$3 x^{4} \cdot 4 x^{- 2} \cdot x^{3}$
214802	Evaluate	(5p^2-3)+(2p^2-3p^3)	$(5 p^{2} - 3) + (2 p^{2} - 3 p^{3})$
214803	Find the End Behavior	y=2x^3+3x^2-4x-6	$y = 2 x^{3} + 3 x^{2} - 4 x - 6$
214804	Solve by Graphing	-2x+4y=1 3x-6y=9	$- 2 x + 4 y = 1$ $3 x - 6 y = 9$
214805	Simplify	(n^2-7)(2n^3+4)	$(n^{2} - 7) (2 n^{3} + 4)$
214806	Find the Sum and Product of the Roots of the Quadratic Equation	1/2x^2-5/4x-3=0	$\frac{1}{2} x^{2} - \frac{5}{4} x - 3 = 0$
214807	Simplify	(a^(2/3)b-1/2)^-6	${(a^{\frac{2}{3}} b - \frac{1}{2})}^{- 6}$
214808	Solve for h	square root of h+3=7	$\sqrt{h + 3} = 7$
214809	Find the Roots (Zeros)	x^3+3x^2-9x=27	$x^{3} + 3 x^{2} - 9 x = 27$
214810	Divide	(33x^5y^3+12x^4y^4-27x^3y^5-3x^2y^6)/(3x^3y^4)	$\frac{33 x^{5} y^{3} + 12 x^{4} y^{4} - 27 x^{3} y^{5} - 3 x^{2} y^{6}}{3 x^{3} y^{4}}$
214811	Solve for x	1/5=5^(2x+3)	$\frac{1}{5} = 5^{2 x + 3}$
214812	Solve the Rational Equation for x	square root of x-2 = square root of 3x+5	$\sqrt{x - 2} = \sqrt{3 x + 5}$
214813	Find the LCD	5/(6x+18) and 4/(3x)	$\frac{5}{6 x + 18}$ and $\frac{4}{3 x}$
214814	Find the Degree	-8c-9c^4d^2	$- 8 c - 9 c^{4} d^{2}$
214815	Simplify	(1/x-3)/(2+1/x)	$\frac{\frac{1}{x} - 3}{2 + \frac{1}{x}}$
214816	Solve for x	log base 4 of 5x^2+2 = log base 4 of x+8	$\log_{4} (5 x^{2} + 2) = \log_{4} (x + 8)$
214817	Multiply	(x^2-4x)/(x-1)*(x^2+3x-4)/(2x)	$\frac{x^{2} - 4 x}{x - 1} \cdot \frac{x^{2} + 3 x - 4}{2 x}$
214818	Solve the Inequality for x	square root of 5x-10+9=4	$\sqrt{5 x - 10} + 9 = 4$
214819	Multiply	-4/5*10/13	$\frac{- 4}{5} \cdot \frac{10}{13}$
214820	Solve the Rational Equation for m	1/(m^2-m)+1/m=5/(m^2-m)	$\frac{1}{m^{2} - m} + \frac{1}{m} = \frac{5}{m^{2} - m}$
214821	Expand Using the Binomial Theorem	(1-x/2)^8	${(1 - \frac{x}{2})}^{8}$
214822	Simplify	( square root of 90x^9y)/( square root of 2x^5y^5)	$\frac{\sqrt{90 x^{9} y}}{\sqrt{2 x^{5} y^{5}}}$
214823	Simplify	(( square root of 5a)*( square root of 2a))÷(3 square root of 10a^2)	$(\sqrt{5 a}) \cdot (\sqrt{2 a}) \div (3 \sqrt{10 a^{2}})$
214824	Simplify	(sx^(1/2)ss^(1/2)x^8)^8	${(s x^{\frac{1}{2}} \cdot s \cdot s^{\frac{1}{2}} x^{8})}^{8}$
214825	Graph	x>=y+2 2x+y<4	$x \geq y + 2$ $2 x + y < 4$
214826	Simplify	(b-c)/(a+b)-(ab-b^2)/(a^2-ac)*(a^2-c^2)/(a^2-b^2)	$\frac{b - c}{a + b} - \frac{a b - b^{2}}{a^{2} - a c} \cdot \frac{a^{2} - c^{2}}{a^{2} - b^{2}}$
214827	Solve Using the Square Root Property	2(x^2-7)-2=2	$2 (x^{2} - 7) - 2 = 2$
214828	Simplify	(x^2+4xy)/(x^2-16y^2)	$\frac{x^{2} + 4 x y}{x^{2} - 16 y^{2}}$
214829	Find the GCF	17xy-x	$17 x y - x$
214830	Solve for r	120=pir^2*5	$120 = π r^{2} \cdot 5$
214831	Factor	24c^4d+375cd^4	$24 c^{4} d + 375 c d^{4}$
214832	Evaluate	square root of 3*1/2	$\sqrt{3} \cdot \frac{1}{2}$
214833	Simplify	( square root of 9)/( square root of 8)	$\frac{\sqrt{9}}{\sqrt{8}}$
214834	Find All Complex Solutions	2(3x+5)=2(2x-3)+2x	$2 (3 x + 5) = 2 (2 x - 3) + 2 x$
214835	Write as a Single Logarithm	1/3* log base 4 of 8+ log base 4 of 15	$\frac{1}{3} \cdot \log_{4} (8) + \log_{4} (15)$
214836	Simplify	i^2-7	$i^{2} - 7$
214837	Find the Domain and Range	y=8*(1/4)^x-1	$y = 8 \cdot {(\frac{1}{4})}^{x} - 1$
214838	Solve the Inequality for v	v-1<3	$v - 1 < 3$
214839	Simplify the Radical Expression	square root of 75yz^2	$\sqrt{75 y z^{2}}$
214840	Find the Degree, Leading Term, and Leading Coefficient	(a^4)/7+a^3-9a^5	$\frac{a^{4}}{7} + a^{3} - 9 a^{5}$
214841	Evaluate	x^2=0	$x^{2} = 0$
214842	Divide	(x^3+2x^2)/(3x^2-1)	$\frac{x^{3} + 2 x^{2}}{3 x^{2} - 1}$
214843	Simplify	(16^(5/9)*5^(7/9))^-3	${(16^{\frac{5}{9}} \cdot 5^{\frac{7}{9}})}^{- 3}$
214844	Factor	5(3x-4)^2+3(3x-4)(7x-8)	$5 {(3 x - 4)}^{2} + 3 (3 x - 4) (7 x - 8)$
214845	Solve for y	10+3y-2=4y-y+8	$10 + 3 y - 2 = 4 y - y + 8$
214846	Simplify	3/8r-1/4r+2s	$\frac{3}{8} r - \frac{1}{4} r + 2 s$
214847	Simplify	2 cube root of 54x^4-x cube root of 250x	$2 \sqrt[3]{54 x^{4}} - x \sqrt[3]{250 x}$
214848	Simplify the Radical Expression	(x^6)^(1/2)	${(x^{6})}^{\frac{1}{2}}$
214849	Solve by Completing the Square	1=x^2-3x	$1 = x^{2} - 3 x$
214850	Simplify	(-60x^8y^13)/((2x^2y^3)^5-12x^10y^15)	$\frac{- 60 x^{8} y^{13}}{{(2 x^{2} y^{3})}^{5} - 12 x^{10} y^{15}}$
214851	Graph	1/2 cube root of x+6	$\frac{1}{2} \sqrt[3]{x + 6}$
214852	Evaluate	log of 5x = log of 2x+9	$\log (5 x) = \log (2 x + 9)$
214853	Rationalize the Denominator	2/( square root of 5+1)	$\frac{2}{\sqrt{5 + 1}}$
214854	Convert to Interval Notation	x<-10 or x>-2	$x < - 10$ or $x > - 2$
214855	Solve for x	cos(x)^2=sin(x/2)^2	$\cos^{2} (x) = \sin^{2} (\frac{x}{2})$
214856	Simplify	(3 square root of x)(4 cube root of x^2)	$(3 \sqrt{x}) (4 \sqrt[3]{x^{2}})$
214857	Simplify	(2a^(1/3)3b^(1/2))(a^(1/3)3b^(3/4))	$(2 a^{\frac{1}{3}} \cdot 3 b^{\frac{1}{2}}) (a^{\frac{1}{3}} \cdot 3 b^{\frac{3}{4}})$
214858	Factor by Grouping	ab-8a-bx+8x	$a b - 8 a - b x + 8 x$
214859	Simplify	(3x-1)/(x^2+2x-15)-2/(x+5)	$\frac{3 x - 1}{x^{2} + 2 x - 15} - \frac{2}{x + 5}$
214860	Solve the System of Equations	2x-3y+4z=19 x-2y+5z=16 3x-4y-z=14	$2 x - 3 y + 4 z = 19$ $x - 2 y + 5 z = 16$ $3 x - 4 y - z = 14$
214861	Find the Exact Value	tan(60)sec(30)+sin(45)^2tan(30)^2	$\tan (60) \sec (30) + \sin^{2} (45) \tan^{2} (30)$
214862	Factor	x^4+5x^3-x^2-17x+12	$x^{4} + 5 x^{3} - x^{2} - 17 x + 12$
214863	Write the Fraction in Simplest Form	(-3(t)^2)/(-12t^-4)	$\frac{- 3 {(t)}^{2}}{- 12 t^{- 4}}$
214864	Solve for X	2(X+5)=20	$2 (X + 5) = 20$
214865	Find the x and y Intercepts	f(x)=(2x^3+10x^2+8x)/(x^3+7x^2+12x)	$f (x) = \frac{2 x^{3} + 10 x^{2} + 8 x}{x^{3} + 7 x^{2} + 12 x}$
214866	Factor	11x(9x+1)+9x+1	$11 x (9 x + 1) + 9 x + 1$
214867	Simplify	(-5)+(-4)-(-2)	$(- 5) + (- 4) - (- 2)$
214868	Evaluate	(2)^3-3/2(2)^2	${(2)}^{3} - \frac{3}{2} {(2)}^{2}$
214869	Simplify	cube root of 3+ cube root of 24- cube root of 81+ cube root of 192	$\sqrt[3]{3} + \sqrt[3]{24} - \sqrt[3]{81} + \sqrt[3]{192}$
214870	Convert to a Decimal	-13pirad	$- 13 π$ radians
214871	Divide	(2pi)÷(1/2)	$2 π \div \frac{1}{2}$
214872	Write as a Single Logarithm	log base 3 of a-( log base 3 of b+ log base 3 of c)	$\log_{3} (a) - (\log_{3} (b) + \log_{3} (c))$
214873	Solve for w	8w^2+2w+2=3	$8 w^{2} + 2 w + 2 = 3$
214874	Simplify	((12x^5)/(2x^2))	$(\frac{12 x^{5}}{2 x^{2}})$
214875	Evaluate	3\|-6\|+(-7)	$3 \| - 6 \| + (- 7)$
214876	Simplify	pi(3x^3y)^2	$π {(3 x^{3} y)}^{2}$
214877	Simplify	p^(1/4)*p^(9/4)	$p^{\frac{1}{4}} \cdot p^{\frac{9}{4}}$
214878	Solve the Inequality for s	s+4<=7	$s + 4 \leq 7$
214879	Simplify	(6+5yi)(1+4i)+(1-5yi)(1+4i)	$(6 + 5 y i) (1 + 4 i) + (1 - 5 y i) (1 + 4 i)$
214880	Plot	y<4x+2 y<-1.5x-3	$y < 4 x + 2$ $y < - 1.5 x - 3$
214881	Simplify	fourth root of 81x^12* square root of 81x	$\sqrt[4]{81 x^{12}} \cdot \sqrt{81 x}$
214882	Solve for x	3/(x+3)=(5x)/(x+1)-12/(x+3)	$\frac{3}{x + 3} = \frac{5 x}{x + 1} - \frac{12}{x + 3}$
214883	Simplify	(x^2)/(2x-3)-4/(2x-3)	$\frac{x^{2}}{2 x - 3} - \frac{4}{2 x - 3}$
214884	Evaluate	(4^2)÷(4^6)	$4^{2} \div 4^{6}$
214885	Find the Product	7a(6-2a-a^2)	$7 a (6 - 2 a - a^{2})$
214886	Solve by Graphing	x=4y x+2y=12	$x = 4 y$ $x + 2 y = 12$
214887	Simplify	2 square root of 30*( square root of 5+ square root of 6+ square root of 10+ square root of 15)	$2 \sqrt{30} \cdot (\sqrt{5} + \sqrt{6} + \sqrt{10} + \sqrt{15})$
214888	Evaluate	3*2^(x/5)=150	$3 \cdot 2^{\frac{x}{5}} = 150$
214889	Solve for x	2(3x+2)=-3(-2+5x)	$2 (3 x + 2) = - 3 (- 2 + 5 x)$
214890	Simplify	xy(3+2x)	$x y (3 + 2 x)$
214891	Solve for x	square root of 2x^2-7=3-x	$\sqrt{2 x^{2} - 7} = 3 - x$
214892	Convert to a Decimal	3pirad	$3 π$ radians
214893	Solve for x	2/(x-2)=2+x/(x-2)	$\frac{2}{x - 2} = 2 + \frac{x}{x - 2}$
214894	Simplify	(x^2-x-6)/(2x^2+x-6)*(2x^2+13x-24)/(x^2-9)	$\frac{x^{2} - x - 6}{2 x^{2} + x - 6} \cdot \frac{2 x^{2} + 13 x - 24}{x^{2} - 9}$
214895	Simplify	((3x-6)/(2x^2))÷((x^2-5x+6)/(4x-12))	$\frac{3 x - 6}{2 x^{2}} \div \frac{x^{2} - 5 x + 6}{4 x - 12}$
214896	Simplify	square root of (x^2)/(y^3)	$\sqrt{\frac{x^{2}}{y^{3}}}$
214897	Factor	6u^2(2u-5)^2-12u^2(2u-5)*(u+5)	$6 u^{2} \cdot {(2 u - 5)}^{2} - 12 u^{2} \cdot (2 u - 5) \cdot (u + 5)$
214898	Simplify the Radical Expression	cube root of 7x^7* cube root of 9x^4	$\sqrt[3]{7 x^{7}} \cdot \sqrt[3]{9 x^{4}}$
214899	Combine Like Terms	7x+2-5+8	$7 x + 2 - 5 + 8$
214900	Determine the Possible Number of Real Roots	x^4-5x^2+4=0	$x^{4} - 5 x^{2} + 4 = 0$