Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
215901	Find the Distance Between Two Points	What is the distance between the points (0,0) and (0.4,0.3) ?	What is the distance between the points $(0, 0)$ and $(0.4, 0.3)$ ?
215902	Write in Standard Form	y=(-7x)/15+1/5	$y = \frac{- 7 x}{15} + \frac{1}{5}$
215903	Solve the Inequality for x	6(4-3x)+4x<3(9+2x)	$6 (4 - 3 x) + 4 x < 3 (9 + 2 x)$
215904	Simplify	3-(-2+3i)+(-5+i)	$3 - (- 2 + 3 i) + (- 5 + i)$
215905	Simplify	(7^(2/3))/(7^(5/3))	$\frac{7^{\frac{2}{3}}}{7^{\frac{5}{3}}}$
215906	Solve for x	e^x>0	$e^{x} > 0$
215907	Solve for p	3(1+p)=-5(p+1)	$3 (1 + p) = - 5 (p + 1)$
215908	Solve for x	5(x-3 3/4)=7 1/2	$5 (x - 3 \frac{3}{4}) = 7 \frac{1}{2}$
215909	Simplify	(cos(theta)+cot(theta)sin(theta))/(cot(theta))	$\frac{\cos (θ) + \cot (θ) \sin (θ)}{\cot (θ)}$
215910	Simplify	3/5r^2t(10r^3+5rt^3+15t^2)	$\frac{3}{5} r^{2} t (10 r^{3} + 5 r t^{3} + 15 t^{2})$
215911	Subtract	4m^2-10m^3-3m^2+20m^3	$4 m^{2} - 10 m^{3} - 3 m^{2} + 20 m^{3}$
215912	Divide	1/i	$\frac{1}{i}$
215913	Simplify	(7/(6x^3))÷(2/(9x^2))	$\frac{7}{6 x^{3}} \div \frac{2}{9 x^{2}}$
215914	Solve for x	(x) = square root of x-2	$(x) = \sqrt{x - 2}$
215915	Solve the System of Inequalities	y>-x+2 y>=1/3x-2	$y > - x + 2$ $y \geq \frac{1}{3} x - 2$
215916	Find the Perfect Square Trinomial	(3x-10)(x-2)	$(3 x - 10) (x - 2)$
215917	Evaluate	6/7-(1/5)÷(1/3)*1/2	$\frac{6}{7} - \frac{1}{5} \div \frac{1}{3} \cdot \frac{1}{2}$
215918	Solve for A	tan(theta)=A/B	$\tan (θ) = \frac{A}{B}$
215919	Simplify	(x^2+x)/(3x+3)	$\frac{x^{2} + x}{3 x + 3}$
215920	Solve for m	m-1 1/2=-5/4	$m - 1 \frac{1}{2} = - \frac{5}{4}$
215921	Solve the System of Equations	y=2x^2+9x-80 16=x-y	$y = 2 x^{2} + 9 x - 80$ $16 = x - y$
215922	Solve for x	4(x-2)^12.5=2486	$4 {(x - 2)}^{12.5} = 2486$
215923	Solve the Inequality for x	x^2+7x+6<=6	$x^{2} + 7 x + 6 \leq 6$
215924	Evaluate	-1/5(-2 1/4)	$- \frac{1}{5} (- 2 \frac{1}{4})$
215925	Solve for x	1/x-3/(x+2)=3/(x+2)	$\frac{1}{x} - \frac{3}{x + 2} = \frac{3}{x + 2}$
215926	Simplify	2 square root of 45+ square root of 20-3 square root of 80+ square root of 245	$2 \sqrt{45} + \sqrt{20} - 3 \sqrt{80} + \sqrt{245}$
215927	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3-6x^2-25x+4 is divided by x-4	Use synthetic division to find the result when $3 x^{3} - 6 x^{2} - 25 x + 4$ is divided by $x - 4$
215928	Simplify	(2pi)/0.5	$\frac{2 π}{0.5}$
215929	Divide Using Long Polynomial Division	(x^3+2x^2-1)÷(x^2-x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} - x + 1)$
215930	Simplify	((-3x)/(81-x^2)*(81-x^2)/(2x^2-6x))÷((x^2+2x-63)/(3x^2-30x+63))	$\frac{- 3 x}{81 - x^{2}} \cdot \frac{81 - x^{2}}{2 x^{2} - 6 x} \div \frac{x^{2} + 2 x - 63}{3 x^{2} - 30 x + 63}$
215931	Simplify	(2/(x+3)-1/3)/((x^2)/3-3)	$\frac{\frac{2}{x + 3} - \frac{1}{3}}{\frac{x^{2}}{3} - 3}$
215932	Multiply	(63m+36)/(m-1)*1/(56m+32)	$\frac{63 m + 36}{m - 1} \cdot \frac{1}{56 m + 32}$
215933	Simplify the Radical Expression	cube root of 4^2	$\sqrt[3]{4^{2}}$
215934	Solve the System of Inequalities	-8x+3>=27 AND -13x+5>=57	$- 8 x + 3 \geq 27$ AND $- 13 x + 5 \geq 57$
215935	Simplify	(x+12)/2-2x	$\frac{x + 12}{2} - 2 x$
215936	Subtract	(2a^2b-3ab^2+5a^2b^2)-(2a^2b^2+4a^2b-5b^2)	$(2 a^{2} b - 3 a b^{2} + 5 a^{2} b^{2}) - (2 a^{2} b^{2} + 4 a^{2} b - 5 b^{2})$
215937	Solve for x	y=e^x-2	$y = e^{x} - 2$
215938	Find the Degree, Leading Term, and Leading Coefficient	-5w^3x^5 square root of 6-8w^5	$- 5 w^{3} x^{5} \sqrt{6} - 8 w^{5}$
215939	Simplify	(4x)/(x^2-1)-4/(x-1)	$\frac{4 x}{x^{2} - 1} - \frac{4}{x - 1}$
215940	Simplify	(6i)+(6i)-(7-3i)	$(6 i) + (6 i) - (7 - 3 i)$
215941	Evaluate	log base 3/4 of (1024/243)^-2	$\log_{\frac{3}{4}} ({(\frac{1024}{243})}^{- 2})$
215942	Find the Exact Value	sec(arcsin((2 square root of 5)/5))	$\sec (\arcsin (\frac{2 \sqrt{5}}{5}))$
215943	Simplify the Radical Expression	cube root of square root of 64	$\sqrt[3]{\sqrt[2]{64}}$
215944	Solve for x	log base 2 of x^2-6- log base 2 of 3x+5=1	$\log_{2} (x^{2} - 6) - \log_{2} (3 x + 5) = 1$
215945	Write the Fraction in Simplest Form	(2(b^-1j^-2)^-1)/(10b^3)	$\frac{2 {(b^{- 1} j^{- 2})}^{- 1}}{10 b^{3}}$
215946	Graph	f(x)=(x+4)(x+1)^2(x-2)(x-4)	$f (x) = (x + 4) {(x + 1)}^{2} (x - 2) (x - 4)$
215947	Write in Slope-Intercept Form	(-5,19) and (5,13)	$(- 5, 19)$ and $(5, 13)$
215948	Solve for x	(5x-4)^(2/3)=x^(1/3)	${(5 x - 4)}^{\frac{2}{3}} = x^{\frac{1}{3}}$
215949	Simplify	(-8/125)^(-1/3)	${(- \frac{8}{125})}^{\frac{- 1}{3}}$
215950	Simplify	8p(p^2+7p-2)-(9p^3-2p^2)	$8 p (p^{2} + 7 p - 2) - (9 p^{3} - 2 p^{2})$
215951	Solve the Inequality for x	cos(x)>=0	$\cos (x) \geq 0$
215952	Solve the System of Equations	y=2x+6 and 3y=6x+18	$y = 2 x + 6$ and $3 y = 6 x + 18$
215953	Write in Standard Form	7x^2-5=-3x+10	$7 x^{2} - 5 = - 3 x + 10$
215954	Simplify	((11x)/(4y^2))÷(22x^2)	$\frac{11 x}{4 y^{2}} \div (22 x^{2})$
215955	Graph	y<=4x-6 x-y>=5	$y \leq 4 x - 6$ $x - y \geq 5$
215956	Find All Complex Solutions	x^3-3x^2+x=-5	$x^{3} - 3 x^{2} + x = - 5$
215957	Solve by Factoring	x^3+x^2-17x+15=0	$x^{3} + x^{2} - 17 x + 15 = 0$
215958	Solve the Rational Equation for x	-8+ square root of 5x-5=-3	$- 8 + \sqrt{5 x - 5} = - 3$
215959	Evaluate	2x+3y-x-(8+1)	$2 x + 3 y - x - (8 + 1)$
215960	Simplify	10+3c+5d-7c+d	$10 + 3 c + 5 d - 7 c + d$
215961	Simplify the Radical Expression	( square root of x+ square root of y)/( square root of x- square root of y)	$\frac{\sqrt{x} + \sqrt{y}}{\sqrt{x} - \sqrt{y}}$
215962	Solve the System of Equations	y=x^2-11x+10 y=-5x^2-4	$y = x^{2} - 11 x + 10$ $y = - 5 x^{2} - 4$
215963	Divide Using Synthetic Division	(4x^4+5x^3+2x^2-1)÷(x+1)	$(4 x^{4} + 5 x^{3} + 2 x^{2} - 1) \div (x + 1)$
215964	Solve the Inequality for x	x^2>=5x+6	$x^{2} \geq 5 x + 6$
215965	Simplify the Radical Expression	2 square root of 5( square root of 6+2)	$2 \sqrt{5} (\sqrt{6} + 2)$
215966	Simplify	(2^5)^0*2^0	${(2^{5})}^{0} \cdot 2^{0}$
215967	Simplify	(45a^2b^5)/(8cb)*(32a^4c^2)/(9a^7b^4)	$\frac{45 a^{2} b^{5}}{8 c b} \cdot \frac{32 a^{4} c^{2}}{9 a^{7} b^{4}}$
215968	Simplify	((x^2+5x+6)/(2x+4)*(x+8)/(x+2))÷((x^2+11x+24)/3)	$\frac{x^{2} + 5 x + 6}{2 x + 4} \cdot \frac{x + 8}{x + 2} \div \frac{x^{2} + 11 x + 24}{3}$
215969	Solve for x	2/5(x+y)=6	$\frac{2}{5} (x + y) = 6$
215970	Simplify the Radical Expression	square root of -9+10	$\sqrt{- 9 + 10}$
215971	Evaluate	(6x+4)/(4x-3)=(3x+2)/(2x+5)	$\frac{6 x + 4}{4 x - 3} = \frac{3 x + 2}{2 x + 5}$
215972	Solve for y	3^y=1	$3^{y} = 1$
215973	Solve for x	3=(729^(1/5))(3^(x/5))	$3 = (729^{\frac{1}{5}}) (3^{\frac{x}{5}})$
215974	Solve by Addition/Elimination	1/4x+1/3y=1/12 1/4(-x+y)=-5/4	$\frac{1}{4} x + \frac{1}{3} y = \frac{1}{12}$ $\frac{1}{4} (- x + y) = - \frac{5}{4}$
215975	Simplify	(2i)-8-(-2+i)	$(2 i) - 8 - (- 2 + i)$
215976	Graph Using a Table of Values	f(x)=-5^(x+4)	$f (x) = - 5^{x + 4}$
215977	Solve by Factoring	16x^2-24x+13=4	$16 x^{2} - 24 x + 13 = 4$
215978	Find the Roots (Zeros)	(-x^2+1)/((x^2+1)^2)	$\frac{- x^{2} + 1}{{(x^{2} + 1)}^{2}}$
215979	Find the Roots (Zeros)	f(x)=(x-5)(2x+3)(7x-4)(x+6)	$f (x) = (x - 5) (2 x + 3) (7 x - 4) (x + 6)$
215980	Graph Using a Table of Values	y=2sin(4x)	$y = 2 \sin (4 x)$
215981	Solve for x	12x-2/3=83 1/3	$12 x - \frac{2}{3} = 83 \frac{1}{3}$
215982	Solve for y	(y+6)/(y-1)-(y-4)/(y^2-y)=1/(y-1)	$\frac{y + 6}{y - 1} - \frac{y - 4}{y^{2} - y} = \frac{1}{y - 1}$
215983	Simplify	f(x)=4(x+1)^(2/3)+(28x)/((x+1)^(1/3))	$f (x) = 4 {(x + 1)}^{\frac{2}{3}} + \frac{28 x}{{(x + 1)}^{\frac{1}{3}}}$
215984	Solve by Substitution	x+5y=4 and 3x+15y=-1	$x + 5 y = 4$ and $3 x + 15 y = - 1$
215985	Solve for n	3n^2+8n+16=2n^2	$3 n^{2} + 8 n + 16 = 2 n^{2}$
215986	Solve for p	(7/8)÷p=1 11/24	$\frac{7}{8} \div p = 1 \frac{11}{24}$
215987	Evaluate	3sec(x)^2-4=0	$3 \sec^{2} (x) - 4 = 0$
215988	Solve the Inequality for a	2/5a-4<2	$\frac{2}{5} a - 4 < 2$
215989	Factor	x^2+6x(a+b)+9(a+b)^2	$x^{2} + 6 x (a + b) + 9 {(a + b)}^{2}$
215990	Solve the System of Inequalities	y>=-x+5 y<2x-4	$y \geq - x + 5$ $y < 2 x - 4$
215991	Simplify	5 square root of ab+6 cube root of ab-2 cube root of ab-3 square root of ab	$5 \sqrt{a b} + 6 \sqrt[3]{a b} - 2 \sqrt[3]{a b} - 3 \sqrt{a b}$
215992	Solve for y	(10y-2)/3+3=(10y+1)/9	$\frac{10 y - 2}{3} + 3 = \frac{10 y + 1}{9}$
215993	Expand the Logarithmic Expression	log of ( square root of x cube root of y^2)/(z^4)	$\log (\frac{\sqrt{x} \sqrt[3]{y^{2}}}{z^{4}})$
215994	Multiply	sixth root of 3* cube root of 4	$\sqrt[6]{3} \cdot \sqrt[3]{4}$
215995	Convert to Radical Form	(2^(1/2))^(1/3)	${(2^{\frac{1}{2}})}^{\frac{1}{3}}$
215996	Find the Sum and Product of the Roots of the Quadratic Equation	x(2x-7)=-3	$x (2 x - 7) = - 3$
215997	Simplify	(2/(x-3)+(3x)/(x^2-9))/(3/(x+3)-(4x)/(x^2-9))	$\frac{\frac{2}{x - 3} + \frac{3 x}{x^{2} - 9}}{\frac{3}{x + 3} - \frac{4 x}{x^{2} - 9}}$
215998	Simplify	(x+9)/8-(x+3)/(x+2)	$\frac{x + 9}{8} - \frac{x + 3}{x + 2}$
215999	Find the Domain and Range	f(x)=- cube root of 2x^5	$f (x) = - \sqrt[3]{2 x^{5}}$
216000	Simplify	(6^-3)/((6^-6)^2)	$\frac{6^{- 3}}{{(6^{- 6})}^{2}}$