Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
233901	Evaluate	(tan(t))/(sec(t)-cos(t))	$\frac{\tan (t)}{\sec (t) - \cos (t)}$
233902	Solve the Inequality for a	11a-4(a+2)<=8a+10	$11 a - 4 (a + 2) \leq 8 a + 10$
233903	Evaluate	(y^(1/6))^3* square root of x	${(y^{\frac{1}{6}})}^{3} \cdot \sqrt{x}$
233904	Evaluate	1/(1/2+1)	$\frac{1}{\frac{1}{2} + 1}$
233905	Solve the System of Inequalities	4x+2>10 and -3x-1>5	$4 x + 2 > 10$ and $- 3 x - 1 > 5$
233906	Simplify	13v-v+15w-4v	$13 v - v + 15 w - 4 v$
233907	Find the Axis of Symmetry	y^2=x+49	$y^{2} = x + 49$
233908	Factor	(5x+6)^2-(2x+1)^2	${(5 x + 6)}^{2} - {(2 x + 1)}^{2}$
233909	Solve for x	5/(x-5)=2+x/(x-5)	$\frac{5}{x - 5} = 2 + \frac{x}{x - 5}$
233910	Simplify	1/(x^3)-x/(y^3)	$\frac{1}{x^{3}} - \frac{x}{y^{3}}$
233911	Solve Using the Quadratic Formula	cube root of 6/7=( cube root of 6)/( cube root of 7)	$\sqrt[3]{\frac{6}{7}} = \frac{\sqrt[3]{6}}{\sqrt[3]{7}}$
233912	Simplify	(3 square root of 32y)(4 square root of 25y)	$(3 \sqrt{32 y}) (4 \sqrt{25 y})$
233913	Simplify	cube root of (8m^3n^6)/27	$\sqrt[3]{\frac{8 m^{3} n^{6}}{27}}$
233914	Simplify	2a^2(5a-6)-5a(a^2-3a+4)-7(a-5)	$2 a^{2} (5 a - 6) - 5 a (a^{2} - 3 a + 4) - 7 (a - 5)$
233915	Factor	2x^4+8x^3+4x^2-8x-6	$2 x^{4} + 8 x^{3} + 4 x^{2} - 8 x - 6$
233916	Simplify the Radical Expression	( cube root of 25)^3	${(\sqrt[3]{25})}^{3}$
233917	Graph	-3(1/2)^x-5	$- 3 {(\frac{1}{2})}^{x} - 5$
233918	Multiply	cos(2x)*cos(2x)	$\cos (2 x) \cdot \cos (2 x)$
233919	Solve the System of Equations	(x-5)^2+(y-3)^2=29 -x+y=-9	${(x - 5)}^{2} + {(y - 3)}^{2} = 29$ $- x + y = - 9$
233920	Simplify	square root of 2*( square root of 2)/2	$\sqrt{2} \cdot \frac{\sqrt{2}}{2}$
233921	Solve the Rational Equation for x	square root of x+19- square root of x+28=-1	$\sqrt{x + 19} - \sqrt{x + 28} = - 1$
233922	Simplify	(4c^2-3c)/(c^(-2/3))	$\frac{4 c^{2} - 3 c}{c^{- \frac{2}{3}}}$
233923	Find the Exact Value	cot(-870 degrees )	$\cot (- 870 °)$
233924	Evaluate	(3+i)-(3-i)	$(3 + i) - (3 - i)$
233925	Solve for x	6+2/(x-4)=8/(x-4)	$6 + \frac{2}{x - 4} = \frac{8}{x - 4}$
233926	Find the x and y Intercepts	f(x)=(x+5)(4x+1)(x+5)(x^2+9)	$f (x) = (x + 5) (4 x + 1) (x + 5) (x^{2} + 9)$
233927	Identify the Sequence	5 , 10 , 20 ; dots	$5$ , $10$ , $20$ ; dots
233928	Solve for t	5^3*t^3=50^3	$5^{3} \cdot t^{3} = 50^{3}$
233929	Simplify	5g^0*(5g)^0	$5 g^{0} \cdot {(5 g)}^{0}$
233930	Rewrite the Cartesian Equation as a Polar Equation	x^2-y^2=1	$x^{2} - y^{2} = 1$
233931	Solve for s	-4\|s+10\|<-16	$- 4 \| s + 10 \| < - 16$
233932	Solve for x	4\|x\|-20=0	$4 \| x \| - 20 = 0$
233933	Find the Degree	x^2=5	$x^{2} = 5$
233934	Solve the System of Inequalities	1<=x<=5	$1 \leq x \leq 5$
233935	Solve for x	cos(x)^2-cos(x)=2	$\cos^{2} (x) - \cos (x) = 2$
233936	Evaluate	x(y+z-3^2)	$x (y + z - 3^{2})$
233937	Simplify	((a^2-4)/(x^2-9))÷((a^2-2a)/(xy+3y))+(2-y)/(x-3)	$\frac{(a^{2} - 4)}{x^{2} - 9} \div \frac{(a^{2} - 2 a)}{x y + 3 y} + \frac{(2 - y)}{x - 3}$
233938	Solve for u	u/9=4/12	$\frac{u}{9} = \frac{4}{12}$
233939	Graph	y-5=f(x/-1)	$y - 5 = f (\frac{x}{- 1})$
233940	Simplify	limit as x approaches 2 of 2x+1	$lim_{x \to 2} 2 x + 1$
233941	Find the Exact Value	(8(15-4))/(4^2-5)	$\frac{8 (15 - 4)}{4^{2} - 5}$
233942	Convert to Polar	(x-3)^2+(y+4)^2=25	${(x - 3)}^{2} + {(y + 4)}^{2} = 25$
233943	Convert to Radical Form	(2+y)^(-2/3)	${(2 + y)}^{- \frac{2}{3}}$
233944	Solve for x	log base 9 of 81 square root of 3=x	$\log_{9} (81 \sqrt{3}) = x$
233945	Evaluate	5^0*5	$5^{0} \cdot 5$
233946	Simplify	(x^3-4x^2+3)+(-3x^3+8x-2)	$(x^{3} - 4 x^{2} + 3) + (- 3 x^{3} + 8 x - 2)$
233947	Solve the System of Equations	y=2x^2 y=-2x+4	$y = 2 x^{2}$ $y = - 2 x + 4$
233948	Graph	ur gay	$u r$ gay
233949	Evaluate	24/4(8/4)	$\frac{24}{4} (\frac{8}{4})$
233950	Evaluate the Function	A(2)=2x^3+5	$A (2) = 2 x^{3} + 5$
233951	Multiply	(x+4)/(x^2+5x+6)*(x+3)/(x^2-16)	$\frac{x + 4}{x^{2} + 5 x + 6} \cdot \frac{x + 3}{x^{2} - 16}$
233952	Solve the Absolute Value Inequality for x	7-2\|x-6\|=-13	$7 - 2 \| x - 6 \| = - 13$
233953	Solve for y	y=-(2^-4)	$y = - (2^{- 4})$
233954	Factor	x^3-8x^2+7x^2+16x-56x+112	$x^{3} - 8 x^{2} + 7 x^{2} + 16 x - 56 x + 112$
233955	Simplify	((y^2z)^(1/4))/(y^(-1/2)z^(1/2))	$\frac{{(y^{2} z)}^{\frac{1}{4}}}{y^{- \frac{1}{2}} z^{\frac{1}{2}}}$
233956	Solve the Inequality for f	-11f<-55	$- 11 f < - 55$
233957	Solve for m	(m+1)/4=2n	$\frac{(m + 1)}{4} = 2 n$
233958	Find the Exact Value	(2tan(pi/6))/(1-tan(pi/6)^2)	$\frac{2 \tan (\frac{π}{6})}{1 - \tan^{2} (\frac{π}{6})}$
233959	Simplify	22-3\|-3(2+1)+4\|	$22 - 3 \| - 3 (2 + 1) + 4 \|$
233960	Solve for x	2^(x-1)<3	$2^{x - 1} < 3$
233961	Simplify the Radical Expression	(16x^12y^6)^(-5/2)	${(16 x^{12} y^{6})}^{- \frac{5}{2}}$
233962	Solve for x	2(x-3)-7(5-x)=9x-45	$2 (x - 3) - 7 (5 - x) = 9 x - 45$
233963	Simplify	((6x^4)^-2)/(((x^-2 square root of 2)/(x^3 square root of 16))^2)	$\frac{{(6 x^{4})}^{- 2}}{{(\frac{x^{- 2} \sqrt{2}}{x^{3} \sqrt{16}})}^{2}}$
233964	Evaluate	5.5/(2pi)	$\frac{5.5}{2 π}$
233965	Convert to Interval Notation	{x\|x<3orx>=2}	${x \| x < 3 o r x \geq 2}$
233966	Evaluate	7^(x-1)=e	$7^{x - 1} = e$
233967	Solve the Inequality for x	8+8+10+10+x<=51	$8 + 8 + 10 + 10 + x \leq 51$
233968	Evaluate	(-(-4))/(2(-1))	$\frac{- (- 4)}{2 (- 1)}$
233969	Simplify	((3m^2n^3)/(xy^2))((x^3yz^2)/(2mn^2))	$(\frac{3 m^{2} n^{3}}{x y^{2}}) (\frac{x^{3} y z^{2}}{2 m n^{2}})$
233970	Write in Standard Form	19x=y	$19 x = y$
233971	Convert to a Decimal	sin(14)deg	$\sin (14)$ degrees
233972	Simplify	-3+3x+12-6y	$- 3 + 3 x + 12 - 6 y$
233973	Simplify	(-4x^3)^2*3x^-2	${(- 4 x^{3})}^{2} \cdot 3 x^{- 2}$
233974	Graph	y>=(x+2)^2+1	$y \geq {(x + 2)}^{2} + 1$
233975	Simplify	(2+3)^2-16/2	${(2 + 3)}^{2} - \frac{16}{2}$
233976	Simplify	(6x-18)/(4x)*x/(2x-6)	$\frac{6 x - 18}{4 x} \cdot \frac{x}{2 x - 6}$
233977	Solve for x	(x^(3/2))^2 = fourth root of x^3	${(x^{\frac{3}{2}})}^{2} = \sqrt[4]{x^{3}}$
233978	Simplify	(2x^2-11x-21)/(5x^2+16x+3)*(5x+1)/(5x-35)	$\frac{2 x^{2} - 11 x - 21}{5 x^{2} + 16 x + 3} \cdot \frac{5 x + 1}{5 x - 35}$
233979	Graph	x^3-2x^2+x	$x^{3} - 2 x^{2} + x$
233980	Find the Roots (Zeros)	2x^2+2=-3x	$2 x^{2} + 2 = - 3 x$
233981	Simplify	Simplify (-5p^3)^3	Simplify ${(- 5 p^{3})}^{3}$
233982	Find the Sum and Product of the Roots of the Quadratic Equation	5-2m-3m^2=0	$5 - 2 m - 3 m^{2} = 0$
233983	Graph	-4(x-3)(x-1)	$- 4 (x - 3) (x - 1)$
233984	Solve for v	8/(v-5)-v/(v+3)=54/(v^2-2v-15)	$\frac{8}{v - 5} - \frac{v}{v + 3} = \frac{54}{v^{2} - 2 v - 15}$
233985	Find the x and y Intercepts	y=4^(2x)-3	$y = 4^{2 x} - 3$
233986	Simplify	((2f^3t^5)/(5(ft^5)))^0*(3f^4t^6)	${(\frac{2 f^{3} t^{5}}{5 f t^{5}})}^{0} \cdot (3 f^{4} t^{6})$
233987	Solve the System of Equations	y=-4x y=x-5	$y = - 4 x$ $y = x - 5$
233988	Simplify the Radical Expression	square root of 144+ square root of -98- square root of 121+ square root of -2	$\sqrt{144} + \sqrt{- 98} - \sqrt{121} + \sqrt{- 2}$
233989	Simplify	12-1/a-1/b	$12 - \frac{1}{a} - \frac{1}{b}$
233990	Subtract	1/10-11/9	$\frac{1}{10} - \frac{11}{9}$
233991	Solve by Substitution	x=-3y-17 and 2x+3y=-7	$x = - 3 y - 17$ and $2 x + 3 y = - 7$
233992	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 $x - 1$
233993	Write with Rational (Fractional) Exponents	fifth root of 5^3* fifth root of 5	$\sqrt[5]{5^{3}} \cdot \sqrt[5]{5}$
233994	Find the Roots (Zeros)	3(x-1)^2-162=0	$3 {(x - 1)}^{2} - 162 = 0$
233995	Solve for x	e^(x-2)=e^(3x+1)	$e^{x - 2} = e^{3 x + 1}$
233996	Solve for x	( square root of 4x+19)/2=2	$\frac{\sqrt{4 x + 19}}{2} = 2$
233997	Simplify	(x/2+y/3)^2	${(\frac{x}{2} + \frac{y}{3})}^{2}$
233998	Evaluate	23^2-7^1+33^0	$2 \cdot 3^{2} - 7^{1} + 3 \cdot 3^{0}$
233999	Evaluate	(1-1/2)(1-1/3)(1-1/4)*(1-1/5)	$(1 - \frac{1}{2}) \cdot (1 - \frac{1}{3}) \cdot (1 - \frac{1}{4}) \cdot (1 - \frac{1}{5})$
234000	Simplify the Radical Expression	square root of 7^3	$\sqrt{7^{3}}$