Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233901	Graph	-3(1/2)^x-5	$- 3 {(\frac{1}{2})}^{x} - 5$
233902	Multiply	cos(2x)*cos(2x)	$\cos (2 x) \cdot \cos (2 x)$
233903	Solve the System of Equations	(x-5)^2+(y-3)^2=29 -x+y=-9	${(x - 5)}^{2} + {(y - 3)}^{2} = 29$ $- x + y = - 9$
233904	Simplify	square root of 2*( square root of 2)/2	$\sqrt{2} \cdot \frac{\sqrt{2}}{2}$
233905	Solve the Rational Equation for x	square root of x+19- square root of x+28=-1	$\sqrt{x + 19} - \sqrt{x + 28} = - 1$
233906	Simplify	(4c^2-3c)/(c^(-2/3))	$\frac{4 c^{2} - 3 c}{c^{- \frac{2}{3}}}$
233907	Find the Exact Value	cot(-870 degrees )	$\cot (- 870 °)$
233908	Evaluate	(3+i)-(3-i)	$(3 + i) - (3 - i)$
233909	Solve for x	6+2/(x-4)=8/(x-4)	$6 + \frac{2}{x - 4} = \frac{8}{x - 4}$
233910	Find the x and y Intercepts	f(x)=(x+5)(4x+1)(x+5)(x^2+9)	$f (x) = (x + 5) (4 x + 1) (x + 5) (x^{2} + 9)$
233911	Identify the Sequence	5 , 10 , 20 ; dots	$5$ , $10$ , $20$ ; dots
233912	Solve for t	5^3*t^3=50^3	$5^{3} \cdot t^{3} = 50^{3}$
233913	Simplify	5g^0*(5g)^0	$5 g^{0} \cdot {(5 g)}^{0}$
233914	Rewrite the Cartesian Equation as a Polar Equation	x^2-y^2=1	$x^{2} - y^{2} = 1$
233915	Solve for s	-4\|s+10\|<-16	$- 4 \| s + 10 \| < - 16$
233916	Solve for x	4\|x\|-20=0	$4 \| x \| - 20 = 0$
233917	Find the Degree	x^2=5	$x^{2} = 5$
233918	Solve the System of Inequalities	1<=x<=5	$1 \leq x \leq 5$
233919	Solve for x	cos(x)^2-cos(x)=2	$\cos^{2} (x) - \cos (x) = 2$
233920	Evaluate	x(y+z-3^2)	$x (y + z - 3^{2})$
233921	Simplify	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{(a^{2} - 4)}{x^{2} - 9} \div \frac{(a^{2} - 2 a)}{x y + 3 y} + \frac{(2 - y)}{x - 3}$
233922	Solve for u	u/9=4/12	$\frac{u}{9} = \frac{4}{12}$
233923	Graph	y-5=f(x/-1)	$y - 5 = f (\frac{x}{- 1})$
233924	Simplify	limit as x approaches 2 of 2x+1	$lim_{x \to 2} 2 x + 1$
233925	Find the Exact Value	(8(15-4))/(4^2-5)	$\frac{8 (15 - 4)}{4^{2} - 5}$
233926	Convert to Polar	(x-3)^2+(y+4)^2=25	${(x - 3)}^{2} + {(y + 4)}^{2} = 25$
233927	Convert to Radical Form	(2+y)^(-2/3)	${(2 + y)}^{- \frac{2}{3}}$
233928	Solve for x	log base 9 of 81 square root of 3=x	$\log_{9} (81 \sqrt{3}) = x$
233929	Evaluate	5^0*5	$5^{0} \cdot 5$
233930	Simplify	(x^3-4x^2+3)+(-3x^3+8x-2)	$(x^{3} - 4 x^{2} + 3) + (- 3 x^{3} + 8 x - 2)$
233931	Solve the System of Equations	y=2x^2 y=-2x+4	$y = 2 x^{2}$ $y = - 2 x + 4$
233932	Graph	ur gay	$u r$ gay
233933	Evaluate	24/4(8/4)	$\frac{24}{4} (\frac{8}{4})$
233934	Evaluate the Function	A(2)=2x^3+5	$A (2) = 2 x^{3} + 5$
233935	Multiply	(x+4)/(x^2+5x+6)*(x+3)/(x^2-16)	$\frac{x + 4}{x^{2} + 5 x + 6} \cdot \frac{x + 3}{x^{2} - 16}$
233936	Solve the Absolute Value Inequality for x	7-2\|x-6\|=-13	$7 - 2 \| x - 6 \| = - 13$
233937	Solve for y	y=-(2^-4)	$y = - (2^{- 4})$
233938	Factor	x^3-8x^2+7x^2+16x-56x+112	$x^{3} - 8 x^{2} + 7 x^{2} + 16 x - 56 x + 112$
233939	Simplify	((y^2z)^(1/4))/(y^(-1/2)z^(1/2))	$\frac{{(y^{2} z)}^{\frac{1}{4}}}{y^{- \frac{1}{2}} z^{\frac{1}{2}}}$
233940	Solve the Inequality for f	-11f<-55	$- 11 f < - 55$
233941	Solve for m	(m+1)/4=2n	$\frac{(m + 1)}{4} = 2 n$
233942	Find the Exact Value	(2tan(pi/6))/(1-tan(pi/6)^2)	$\frac{2 \tan (\frac{π}{6})}{1 - \tan^{2} (\frac{π}{6})}$
233943	Simplify	22-3\|-3(2+1)+4\|	$22 - 3 \| - 3 (2 + 1) + 4 \|$
233944	Solve for x	2^(x-1)<3	$2^{x - 1} < 3$
233945	Simplify the Radical Expression	(16x^12y^6)^(-5/2)	${(16 x^{12} y^{6})}^{- \frac{5}{2}}$
233946	Solve for x	2(x-3)-7(5-x)=9x-45	$2 (x - 3) - 7 (5 - x) = 9 x - 45$
233947	Simplify	((6x^4)^-2)/(((x^-2 square root of 2)/(x^3 square root of 16))^2)	$\frac{{(6 x^{4})}^{- 2}}{{(\frac{x^{- 2} \sqrt{2}}{x^{3} \sqrt{16}})}^{2}}$
233948	Evaluate	5.5/(2pi)	$\frac{5.5}{2 π}$
233949	Convert to Interval Notation	{x\|x<3orx>=2}	${x \| x < 3 o r x \geq 2}$
233950	Evaluate	7^(x-1)=e	$7^{x - 1} = e$
233951	Solve the Inequality for x	8+8+10+10+x<=51	$8 + 8 + 10 + 10 + x \leq 51$
233952	Evaluate	(-(-4))/(2(-1))	$\frac{- (- 4)}{2 (- 1)}$
233953	Simplify	((3m^2n^3)/(xy^2))((x^3yz^2)/(2mn^2))	$(\frac{3 m^{2} n^{3}}{x y^{2}}) (\frac{x^{3} y z^{2}}{2 m n^{2}})$
233954	Write in Standard Form	19x=y	$19 x = y$
233955	Convert to a Decimal	sin(14)deg	$\sin (14)$ degrees
233956	Simplify	-3+3x+12-6y	$- 3 + 3 x + 12 - 6 y$
233957	Simplify	(-4x^3)^2*3x^-2	${(- 4 x^{3})}^{2} \cdot 3 x^{- 2}$
233958	Graph	y>=(x+2)^2+1	$y \geq {(x + 2)}^{2} + 1$
233959	Simplify	(2+3)^2-16/2	${(2 + 3)}^{2} - \frac{16}{2}$
233960	Simplify	(6x-18)/(4x)*x/(2x-6)	$\frac{6 x - 18}{4 x} \cdot \frac{x}{2 x - 6}$
233961	Solve for x	(x^(3/2))^2 = fourth root of x^3	${(x^{\frac{3}{2}})}^{2} = \sqrt[4]{x^{3}}$
233962	Simplify	(2x^2-11x-21)/(5x^2+16x+3)*(5x+1)/(5x-35)	$\frac{2 x^{2} - 11 x - 21}{5 x^{2} + 16 x + 3} \cdot \frac{5 x + 1}{5 x - 35}$
233963	Graph	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
233964	Find the Roots (Zeros)	2x^2+2=-3x	$2 x^{2} + 2 = - 3 x$
233965	Simplify	Simplify (-5p^3)^3	Simplify ${(- 5 p^{3})}^{3}$
233966	Find the Sum and Product of the Roots of the Quadratic Equation	5-2m-3m^2=0	$5 - 2 m - 3 m^{2} = 0$
233967	Graph	-4(x-3)(x-1)	$- 4 (x - 3) (x - 1)$
233968	Solve for v	8/(v-5)-v/(v+3)=54/(v^2-2v-15)	$\frac{8}{v - 5} - \frac{v}{v + 3} = \frac{54}{v^{2} - 2 v - 15}$
233969	Find the x and y Intercepts	y=4^(2x)-3	$y = 4^{2 x} - 3$
233970	Simplify	((2f^3t^5)/(5(ft^5)))^0*(3f^4t^6)	${(\frac{2 f^{3} t^{5}}{5 f t^{5}})}^{0} \cdot (3 f^{4} t^{6})$
233971	Solve the System of Equations	y=-4x y=x-5	$y = - 4 x$ $y = x - 5$
233972	Simplify the Radical Expression	square root of 144+ square root of -98- square root of 121+ square root of -2	$\sqrt{144} + \sqrt{- 98} - \sqrt{121} + \sqrt{- 2}$
233973	Simplify	12-1/a-1/b	$12 - \frac{1}{a} - \frac{1}{b}$
233974	Subtract	1/10-11/9	$\frac{1}{10} - \frac{11}{9}$
233975	Solve by Substitution	x=-3y-17 and 2x+3y=-7	$x = - 3 y - 17$ and $2 x + 3 y = - 7$
233976	Divide Using Long Polynomial Division	Use the long division method to find the result when x^3-9x^2+10x-2 is divided by x-1	Use the long division method to find the result when $x^{3} - 9 x^{2} + 10 x - 2$ is divided by $x - 1$
233977	Write with Rational (Fractional) Exponents	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
233978	Find the Roots (Zeros)	3(x-1)^2-162=0	$3 {(x - 1)}^{2} - 162 = 0$
233979	Solve for x	e^(x-2)=e^(3x+1)	$e^{x - 2} = e^{3 x + 1}$
233980	Solve for x	( square root of 4x+19)/2=2	$\frac{\sqrt{4 x + 19}}{2} = 2$
233981	Simplify	(x/2+y/3)^2	${(\frac{x}{2} + \frac{y}{3})}^{2}$
233982	Evaluate	23^2-7^1+33^0	$2 \cdot 3^{2} - 7^{1} + 3 \cdot 3^{0}$
233983	Evaluate	(1-1/2)(1-1/3)(1-1/4)*(1-1/5)	$(1 - \frac{1}{2}) \cdot (1 - \frac{1}{3}) \cdot (1 - \frac{1}{4}) \cdot (1 - \frac{1}{5})$
233984	Simplify the Radical Expression	square root of 7^3	$\sqrt{7^{3}}$
233985	Find the Points of Intersection	8x+4y=12 y=-2x+3	$8 x + 4 y = 12$ $y = - 2 x + 3$
233986	Solve Using the Quadratic Formula	1/2x^2-1/4=3/16x	$\frac{1}{2} x^{2} - \frac{1}{4} = \frac{3}{16} x$
233987	Identify the Sequence	5 , 15 , 45 ; dots	$5$ , $15$ , $45$ ; dots
233988	Solve for x	(3x)/7-1=6+x/2	$\frac{3 x}{7} - 1 = 6 + \frac{x}{2}$
233989	Simplify	(x^-2y^3)/(x^3z^-1)	$\frac{x^{- 2} y^{3}}{x^{3} z^{- 1}}$
233990	Solve for t	V=(2pir)/t	$V = \frac{2 π r}{t}$
233991	Evaluate	(x^6)/(x^-1*x^7)	$\frac{x^{6}}{x^{- 1} \cdot x^{7}}$
233992	Evaluate	-3x+9-2x=-12-5x	$- 3 x + 9 - 2 x = - 12 - 5 x$
233993	Find the Product	(xy^-6)^2	${(x y^{- 6})}^{2}$
233994	Factor	x^2+18=9x	$x^{2} + 18 = 9 x$
233995	Simplify	(3-x)/(1/x)	$\frac{3 - x}{\frac{1}{x}}$
233996	Solve for x	3x(x-2)-(x-6)=23(x-3)	$3 x (x - 2) - (x - 6) = 23 (x - 3)$
233997	Find the Roots (Zeros)	-3x(x+4)(3x+2)(x+9)^2	$- 3 x (x + 4) (3 x + 2) {(x + 9)}^{2}$
233998	Solve for x	24=4(6b-2x)	$24 = 4 (6 b - 2 x)$
233999	Evaluate	(4xy^2)^-3	${(4 x y^{2})}^{- 3}$
234000	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3+7x^2+7x+3 is divided by 4x+3	Use the long division method to find the result when $4 x^{3} + 7 x^{2} + 7 x + 3$ is divided by $4 x + 3$