Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222901	Solve for x	(x+1)/2+(x-4)/3=x/5	$\frac{x + 1}{2} + \frac{x - 4}{3} = \frac{x}{5}$
222902	Solve for x	x-4(2x-1)=-3(2x+1)-x	$x - 4 (2 x - 1) = - 3 (2 x + 1) - x$
222903	Solve the System of Equations	x+2y-z=6 x=6-2y+z x+2y=6+z	$x + 2 y - z = 6$ $x = 6 - 2 y + z$ $x + 2 y = 6 + z$
222904	Solve for h	1/2h-12=-5	$\frac{1}{2} h - 12 = - 5$
222905	Simplify	(a^2bc^2)(b^2c^3)(9a)	$(a^{2} b c^{2}) (b^{2} c^{3}) (9 a)$
222906	Find All Complex Solutions	3^(x+1)+3^(3-x)=30	$3^{x + 1} + 3^{3 - x} = 30$
222907	Divide Using Long Polynomial Division	(x^3+5x^2+5x-3)÷(x^2+3x-1)	$(x^{3} + 5 x^{2} + 5 x - 3) \div (x^{2} + 3 x - 1)$
222908	Solve for x	2x+3(x-1)=6(x-1)-x	$2 x + 3 (x - 1) = 6 (x - 1) - x$
222909	Solve for X	4X=X+6	$4 X = X + 6$
222910	Solve the System of Equations	-m+n=9 m+n=5	$- m + n = 9$ $m + n = 5$
222911	Evaluate	((7-2)*180)/7	$\frac{(7 - 2) \cdot 180}{7}$
222912	Find the LCD	7/(8x) and 2/(7x+3)	$\frac{7}{8 x}$ and $\frac{2}{7 x + 3}$
222913	Simplify	(3x^2y^-3)^2*(x^2y^4)^(1/2)	${(3 x^{2} y^{- 3})}^{2} \cdot {(x^{2} y^{4})}^{\frac{1}{2}}$
222914	Write Using Positive Exponents	z^-11*z^-15	$z^{- 11} \cdot z^{- 15}$
222915	Evaluate	1/2(3)(4)^2	$\frac{1}{2} (3) {(4)}^{2}$
222916	Evaluate	square root of 15x^2 square root of 15x	$\sqrt{15 x^{2}} \sqrt{15 x}$
222917	Simplify	-2d(d^3c^2-4dc^2+2d^2c)+c^2(dc^2-3d^4)	$- 2 d (d^{3} c^{2} - 4 d c^{2} + 2 d^{2} c) + c^{2} (d c^{2} - 3 d^{4})$
222918	Solve the Inequality for x	6x^2-4x>=7x+2	$6 x^{2} - 4 x \geq 7 x + 2$
222919	Solve for x	4 square root of x=8x-24	$4 \sqrt{x} = 8 x - 24$
222920	Find the Remainder	(x^4+2x^3-13x^2-12x+21)/(x^2-4x+3)	$\frac{x^{4} + 2 x^{3} - 13 x^{2} - 12 x + 21}{x^{2} - 4 x + 3}$
222921	Solve the System of Equations	3x+5y+8z=-20 -x+2y-4z=18 -6x+4z=0	$3 x + 5 y + 8 z = - 20$ $- x + 2 y - 4 z = 18$ $- 6 x + 4 z = 0$
222922	Solve the Inequality for x	(x^2+6x)/(x-4)>0	$\frac{x^{2} + 6 x}{x - 4} > 0$
222923	Multiply	(3x-21)/(x^2-3x-28)*(5x+20)/(2x+8)	$\frac{3 x - 21}{x^{2} - 3 x - 28} \cdot \frac{5 x + 20}{2 x + 8}$
222924	Simplify	(2x+1)/(8x^3)+(x-1)/(4x^2)	$\frac{2 x + 1}{8 x^{3}} + \frac{x - 1}{4 x^{2}}$
222925	Graph	x+y<=8 and y<=-8	$x + y \leq 8$ and $y \leq - 8$
222926	Simplify	(2x^2-5x-16)/(x^2-x-20)-x/(x+4)	$\frac{2 x^{2} - 5 x - 16}{x^{2} - x - 20} - \frac{x}{x + 4}$
222927	Simplify	square root of 9	square root of $9$
222928	Simplify	square root of 54x^4y^3* square root of 72xy^6	$\sqrt{54 x^{4} y^{3}} \cdot \sqrt{72 x y^{6}}$
222929	Rationalize the Denominator	cube root of (x^2)/(3y)	$\sqrt[3]{\frac{x^{2}}{3 y}}$
222930	Simplify	-(6y^4)/((-2y^-5)^5)	$- \frac{6 y^{4}}{{(- 2 y^{- 5})}^{5}}$
222931	Solve the Inequality for x	3x^2+184<48x-5	$3 x^{2} + 184 < 48 x - 5$
222932	Simplify	2x^11-6x^7-(10x^6)÷2x^3	$2 x^{11} - 6 x^{7} - 10 x^{6} \div 2 x^{3}$
222933	Factor	2ax+10x+5+a+5b+ab	$2 a x + 10 x + 5 + a + 5 b + a b$
222934	Evaluate	4 square root of 2+2( square root of 36- square root of 8)	$4 \sqrt{2} + 2 (\sqrt{36} - \sqrt{8})$
222935	Find the Exact Value	log base 3 of 27*81	$\log_{3} (27 \cdot 81)$
222936	Find the Degree, Leading Term, and Leading Coefficient	y=(x+4)(x+1)(x-1)^2	$y = (x + 4) (x + 1) {(x - 1)}^{2}$
222937	Simplify the Radical Expression	4 square root of 3* square root of 3	$4 \sqrt{3} \cdot \sqrt{3}$
222938	Solve for x	10/(x+4)=15/(4(x+1))	$\frac{10}{x + 4} = \frac{15}{4 (x + 1)}$
222939	Solve for x	9 = square root of x/3+1	$9 = \sqrt{\frac{x}{3}} + 1$
222940	Evaluate	-185%-1.7	$- 185 % - 1.7$
222941	Evaluate	-5+(4+(3-(4-8)+(-5-10)))	$- 5 + (4 + (3 - (4 - 8) + (- 5 - 10)))$
222942	Solve for t	2sin(t)^2-cos(t)-1=0	$2 \sin^{2} (t) - \cos (t) - 1 = 0$
222943	Simplify the Radical Expression	square root of 3x^5* square root of 15x	$\sqrt{3 x^{5}} \cdot \sqrt{15 x}$
222944	Simplify	18÷6+4÷2-15÷(-3)+4+(-2)÷(-1)	$18 \div 6 + 4 \div 2 - 15 \div (- 3) + 4 + (- 2) \div (- 1)$
222945	Simplify	3(r-s)*5(r-s)^3	$3 (r - s) \cdot 5 {(r - s)}^{3}$
222946	Solve the Rational Equation for x	4/(2x)=5/(x+6)	$\frac{4}{2 x} = \frac{5}{x + 6}$
222947	Solve for x	x^2+bx+16=0	$x^{2} + b x + 16 = 0$
222948	Solve for f	15f+12-9-11f=43	$15 f + 12 - 9 - 11 f = 43$
222949	Simplify	( square root of 9xy)/( square root of 2x)	$\frac{\sqrt{9 x y}}{\sqrt{2 x}}$
222950	Simplify	4y+3-2(x+2y+9)	$4 y + 3 - 2 (x + 2 y + 9)$
222951	Solve for n	-10n^2-5=-185	$- 10 n^{2} - 5 = - 185$
222952	Solve the Absolute Value Inequality for x	\|x+4\|=x-1	$\| x + 4 \| = x - 1$
222953	Evaluate	(x^-8*x^5)/(x^-6)	$\frac{x^{- 8} \cdot x^{5}}{x^{- 6}}$
222954	Graph	y=4+1/2 square root of x+5	$y = 4 + \frac{1}{2} \sqrt{x + 5}$
222955	Simplify	( fourth root of 18)/( square root of 6)	$\frac{\sqrt[4]{18}}{\sqrt{6}}$
222956	Solve for x	cos(x)-sec(x)=0	$\cos (x) - \sec (x) = 0$
222957	Solve the Inequality for x	square root of 3x+6+2<=5	$\sqrt{3 x + 6} + 2 \leq 5$
222958	Simplify	(8x^2+7)-(9x^2-2+x^5)	$(8 x^{2} + 7) - (9 x^{2} - 2 + x^{5})$
222959	Simplify	square root of 2x- square root of 8x^3-4 square root of 8x^3	$\sqrt{2 x} - \sqrt{8 x^{3}} - 4 \sqrt{8 x^{3}}$
222960	Find the Exact Value	sin(150 degrees )^2-cos(150 degrees )^2	$\sin^{2} (150 °) - \cos^{2} (150 °)$
222961	Simplify	((6x^3)^2)/((3x^2)^3)	$\frac{{(6 x^{3})}^{2}}{{(3 x^{2})}^{3}}$
222962	Solve for m	square root of m+6=9	$\sqrt{m + 6} = 9$
222963	Write in Standard Form	3x^2+2x^6-4x^4-1	$3 x^{2} + 2 x^{6} - 4 x^{4} - 1$
222964	Find the Exact Value	10-4÷2+3*4-1	$10 - 4 \div 2 + 3 \times 4 - 1$
222965	Convert to Polar	x^2+y^2=x	$x^{2} + y^{2} = x$
222966	Solve the Rational Equation for x	(2x+1)/(4x-5)=3	$\frac{2 x + 1}{4 x - 5} = 3$
222967	Find the Exact Value	2sin(pi/4)+3tan(pi/4)	$2 \sin (\frac{π}{4}) + 3 \tan (\frac{π}{4})$
222968	Simplify	x/( square root of 3y)	$\frac{x}{\sqrt{3 y}}$
222969	Simplify	(5^3*3)^(1/3)	${(5^{3} \cdot 3)}^{\frac{1}{3}}$
222970	Find the Roots (Zeros)	P(I)=16I-0.04I^2	$P (I) = 16 I - 0.04 I^{2}$
222971	Evaluate	80% of 20	$80 %$ of $20$
222972	Solve the Inequality for x	2<x<=5	$2 < x \leq 5$
222973	Solve the Inequality for x	24<4x-3+5x+6	$24 < 4 x - 3 + 5 x + 6$
222974	Simplify the Radical Expression	sixth root of 6* cube root of 6^2	$\sqrt[6]{6} \cdot \sqrt[3]{6^{2}}$
222975	Find the Parabola with Focus (1,2) and Directrix y=6	(1,2) , y=6	$(1, 2)$ , $y = 6$
222976	Solve for x	square root of 8x+3=2 square root of 7x-3	$\sqrt{8 x + 3} = 2 \sqrt{7 x - 3}$
222977	Solve the Rational Equation for x	7/x+2/9=-5/(3x)	$\frac{7}{x} + \frac{2}{9} = - \frac{5}{3 x}$
222978	Simplify	36c^5d^3(cd^2)^3	$36 c^{5} d^{3} {(c d^{2})}^{3}$
222979	Simplify	(-ab)(a^2b)^2	$(- a b) {(a^{2} b)}^{2}$
222980	Solve the Inequality for a	2a>3b+1	$2 a > 3 b + 1$
222981	Simplify	(8b^-6c^3)/((2b^2c)^3)	$\frac{8 b^{- 6} c^{3}}{{(2 b^{2} c)}^{3}}$
222982	Solve for x	2x+1-4=-2x-3	$2 x + 1 - 4 = - 2 x - 3$
222983	Solve for y	2(x-3)+3y=0	$2 (x - 3) + 3 y = 0$
222984	Convert to Radical Form	(2x-5y)^(1/3)	${(2 x - 5 y)}^{\frac{1}{3}}$
222985	Simplify	(-3/4z^3)^2	${(\frac{- 3}{4} z^{3})}^{2}$
222986	Simplify	square root of a square root of a^3	$\sqrt{a} \sqrt{a^{3}}$
222987	Solve the System of Equations	-x-y=3 and 6x+2y=-30	$- x - y = 3$ and $6 x + 2 y = - 30$
222988	Find the Inverse	asin (x)+15	asin $(x) + 15$
222989	Multiply	-3x(5x+1)(8-2x)	$- 3 x (5 x + 1) (8 - 2 x)$
222990	Solve for p	2p-5=p+5	$2 p - 5 = p + 5$
222991	Multiply	4x^2y*-2xy	$4 x^{2} y \cdot - 2 x y$
222992	Solve the Rational Equation for n	5/(n^3+5n^2)=4/(n+5)+1/(n^2)	$\frac{5}{n^{3} + 5 n^{2}} = \frac{4}{n + 5} + \frac{1}{n^{2}}$
222993	Find the y-intercept	f(x)=9x+5	$f (x) = 9 x + 5$
222994	Simplify	2 5/8x-5 3/4x+2	$2 \frac{5}{8} x - 5 \frac{3}{4} x + 2$
222995	Solve for x	-4x+6<=2x	$- 4 x + 6 \leq 2 x$
222996	Multiply	(-3m^2-2mn-8n^2)(8m^2+4mn+n^2)	$(- 3 m^{2} - 2 m n - 8 n^{2}) (8 m^{2} + 4 m n + n^{2})$
222997	Multiply	(x^2)/(4x+8)*(x^2-4)/(x^2+6x-16)	$\frac{x^{2}}{4 x + 8} \cdot \frac{x^{2} - 4}{x^{2} + 6 x - 16}$
222998	Find the Roots (Zeros)	(x^2+6x+8)/(x+4)	$\frac{x^{2} + 6 x + 8}{x + 4}$
222999	Multiply	(x^3(x+5))/(x-9)*((x-9)(x+8))/(3x^3)	$\frac{x^{3} (x + 5)}{x - 9} \cdot \frac{(x - 9) (x + 8)}{3 x^{3}}$
223000	Solve for x	( log base 5 of x)^2-7 log base 5 of x+12=0	${\log_{5}}^{2} (x) - 7 \log_{5} (x) + 12 = 0$