Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
223901	Write Using Positive Exponents	-1^-5y^2	$- 1^{- 5} y^{2}$
223902	Divide Using Synthetic Division	(3x^4-7x^3+x^2-18x-9)/(x-3)	$\frac{3 x^{4} - 7 x^{3} + x^{2} - 18 x - 9}{x - 3}$
223903	Solve the Rational Equation for n	(n root of a)^n=a	${(\sqrt[n]{a})}^{n} = a$
223904	Solve the Rational Equation for x	x/(x^2-6x+8)+2/(x-2)=1/(x-4)	$\frac{x}{x^{2} - 6 x + 8} + \frac{2}{x - 2} = \frac{1}{x - 4}$
223905	Evaluate	1/2(3)^2((2pi)/3)	$\frac{1}{2} {(3)}^{2} (\frac{2 π}{3})$
223906	Simplify	c^4(5c^3+c^5)	$c^{4} (5 c^{3} + c^{5})$
223907	Solve for a	a^2+b^2=100	$a^{2} + b^{2} = 100$
223908	Divide	(x^2-4)/(1-6x)	$\frac{x^{2} - 4}{1 - 6 x}$
223909	Solve the Inequality for x	-3x^2+2x+12>=7	$- 3 x^{2} + 2 x + 12 \geq 7$
223910	Factor	x^4-9x^2-5x^3+45x+6x^2-54	$x^{4} - 9 x^{2} - 5 x^{3} + 45 x + 6 x^{2} - 54$
223911	Solve Using the Square Root Property	2(x^2-1)+1=1	$2 (x^{2} - 1) + 1 = 1$
223912	Simplify	(x-2)/(x-4/x)	$\frac{x - 2}{x - \frac{4}{x}}$
223913	Solve for v	y=(v^2)/(2a)	$y = \frac{v^{2}}{2 a}$
223914	Simplify	x(-x^2-5)	$x (- x^{2} - 5)$
223915	Find the Remainder	(6x^4-20x^3+15x^2-8)÷(-x^2+2x-1)	$(6 x^{4} - 20 x^{3} + 15 x^{2} - 8) \div (- x^{2} + 2 x - 1)$
223916	Evaluate	( cube root of 3* cube root of 18)/( sixth root of 2* sixth root of 2)	$\frac{\sqrt[3]{3} \cdot \sqrt[3]{18}}{\sqrt[6]{2} \cdot \sqrt[6]{2}}$
223917	Solve the Rational Equation for x	2^(x+3)+2^x=72	$2^{x + 3} + 2^{x} = 72$
223918	Write in Standard Form	(15x^2-3x+11)+(2x^3-x^2+6x+1)	$(15 x^{2} - 3 x + 11) + (2 x^{3} - x^{2} + 6 x + 1)$
223919	Solve the System of Inequalities	y>-x+6 y<3/2x-4	$y > - x + 6$ $y < \frac{3}{2} x - 4$
223920	Factor	y=x^4+4x^2-45	$y = x^{4} + 4 x^{2} - 45$
223921	Simplify	(x^2)/3-5/3x^2	$\frac{x^{2}}{3} - \frac{5}{3} x^{2}$
223922	Graph	1/3x=x+8	$\frac{1}{3} x = x + 8$
223923	Rationalize the Denominator	6/(-3- square root of 13)	$\frac{6}{- 3 - \sqrt{13}}$
223924	Graph	y=10cos((2pi)/3(x+1/4))	$y = 10 \cos (\frac{2 π}{3} (x + \frac{1}{4}))$
223925	Simplify	-5x+(x-1)	$- 5 x + (x - 1)$
223926	Solve for x	4(x+1)^4=68	$4 {(x + 1)}^{4} = 68$
223927	Simplify	1/( square root of 12n^2)	$\frac{1}{\sqrt{12 n^{2}}}$
223928	Solve for y	x^2-y^2=z^2	$x^{2} - y^{2} = z^{2}$
223929	Graph	p(x)=2+1/(2x-4)	$p (x) = 2 + \frac{1}{2 x - 4}$
223930	Evaluate	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x} \cdot 3 \sqrt{14 x^{2}}$
223931	Write in Standard Form	(5y^3-2y^2-1)-(y^2-2y-3)	$(5 y^{3} - 2 y^{2} - 1) - (y^{2} - 2 y - 3)$
223932	Simplify	eighth root of x^6y^12	$\sqrt[8]{x^{6} y^{12}}$
223933	Simplify	e^(- natural log of 4)	$e^{- \ln (4)}$
223934	Find the Complex Conjugate	square root of 3+ square root of 2	$\sqrt{3} + \sqrt{2}$
223935	Solve for x	2x-5x+(5x+3x)=0	$2 x - 5 x + (5 x + 3 x) = 0$
223936	Write in Standard Form	(-5x^2-4x-1)+(-4x^2-4x)	$(- 5 x^{2} - 4 x - 1) + (- 4 x^{2} - 4 x)$
223937	Simplify	y^(-5/2)*y^-1	$y^{- \frac{5}{2}} \cdot y^{- 1}$
223938	Solve for x	3/(8x)-5/8=-1	$\frac{3}{8 x} - \frac{5}{8} = - 1$
223939	Solve in Terms of the Arbitrary Variable C	C=5/9(F-32) F=9/5C+32	$C = \frac{5}{9} (F - 32)$ $F = \frac{9}{5} C + 32$
223940	Find the Midpoint	What is the midpoint between (3,-1) and (7,-5)	What is the midpoint between $(3, - 1)$ and $(7, - 5)$
223941	Convert to a Decimal	sin(330)deg	$\sin (330)$ degrees
223942	Find the Exact Value	cot(arccos(1/2))	$\cot (\arccos (\frac{1}{2}))$
223943	Describe the Transformation	y=4-3sin(2/5(x+1))	$y = 4 - 3 \sin (\frac{2}{5} (x + 1))$
223944	Solve for y	8x-y=-8+6	$8 x - y = - 8 + 6$
223945	Solve for x	(x^2-36)/(6-x)=0	$\frac{x^{2} - 36}{6 - x} = 0$
223946	Simplify	8/( cube root of 16)	$\frac{8}{\sqrt[3]{16}}$
223947	Simplify	(3x^2-15)/(2x^2-10)	$\frac{3 x^{2} - 15}{2 x^{2} - 10}$
223948	Factor	x^2-6x(a+b)+9(a+b)^2	$x^{2} - 6 x (a + b) + 9 {(a + b)}^{2}$
223949	Solve Using the Quadratic Formula	3(3x+1)^2=39	$3 {(3 x + 1)}^{2} = 39$
223950	Solve for x	3-(x+7)/2=9	$3 - \frac{x + 7}{2} = 9$
223951	Simplify the Radical Expression	-2 fourth root of 405x^16y^7	$- 2 \sqrt[4]{405 x^{16} y^{7}}$
223952	Simplify the Radical Expression	(xy^(2/3))^(1/2)	${(x y^{\frac{2}{3}})}^{\frac{1}{2}}$
223953	Factor	-36bc^7+27b^6c^7+36bc^2	$- 36 b c^{7} + 27 b^{6} c^{7} + 36 b c^{2}$
223954	Solve for x	12x^2+48x=-x^3-64	$12 x^{2} + 48 x = - x^{3} - 64$
223955	Solve the Inequality for x	21<=x^2+4x	$21 \leq x^{2} + 4 x$
223956	Solve for x	4=3x^2+14x+4	$4 = 3 x^{2} + 14 x + 4$
223957	Solve the Rational Equation for x	square root of 5x+4+6=4	$\sqrt{5 x + 4} + 6 = 4$
223958	Solve for r	cube root of r+21=8	$\sqrt[3]{r + 21} = 8$
223959	Simplify	(3xy^3)^(1/2)	${(3 x y^{3})}^{\frac{1}{2}}$
223960	Subtract	x/(2x-5)-(4x+15)/(4x^2-25)	$\frac{x}{2 x - 5} - \frac{4 x + 15}{4 x^{2} - 25}$
223961	Find the Inverse	f(x)=9( fifth root of x-8)+10	$f (x) = 9 (\sqrt[5]{x} - 8) + 10$
223962	Solve for c	4+4c^3=180	$4 + 4 c^{3} = 180$
223963	Solve for x	x^2+1^2=3^2	$x^{2} + 1^{2} = 3^{2}$
223964	Convert to Radical Form	(3xy^3)^(1/2)	${(3 x y^{3})}^{\frac{1}{2}}$
223965	Find the Holes in the Graph	g(x)=((x-2)(x+6))/((x+2)(x-2))	$g (x) = \frac{(x - 2) (x + 6)}{(x + 2) (x - 2)}$
223966	Graph	y=1/2sin(x-pi)+1	$y = \frac{1}{2} \sin (x - π) + 1$
223967	Divide Using Long Polynomial Division	(3x^4-2x^3+4x-5)÷(x^2+4)	$(3 x^{4} - 2 x^{3} + 4 x - 5) \div (x^{2} + 4)$
223968	Find All Complex Solutions	x^4+x^2-90=0	$x^{4} + x^{2} - 90 = 0$
223969	Simplify	(-5^6*(-5^6))/(-5^4)	$\frac{- 5^{6} \cdot (- 5^{6})}{- 5^{4}}$
223970	Solve for v	1000=v^3	$1000 = v^{3}$
223971	Solve for x	5(2x-1)^(2/3)=125	$5 {(2 x - 1)}^{\frac{2}{3}} = 125$
223972	Simplify	(t^2-36)/3+(t^2+6t)/(9t)	$\frac{t^{2} - 36}{3} + \frac{t^{2} + 6 t}{9 t}$
223973	Solve for v	v-4(5-v)=-60	$v - 4 (5 - v) = - 60$
223974	Divide	-8÷(12/13)	$- 8 \div \frac{12}{13}$
223975	Simplify the Radical Expression	cube root of 5^2* square root of 5	$\sqrt[3]{5^{2}} \cdot \sqrt{5}$
223976	Simplify	(1/(x-10))÷((9x)/(x^2-9x-10))	$\frac{1}{x - 10} \div \frac{9 x}{x^{2} - 9 x - 10}$
223977	Simplify	sixth root of a^5 square root of a^3	$\sqrt[6]{a^{5}} \sqrt{a^{3}}$
223978	Solve for x	-5-7x+4x=5-10-3x	$- 5 - 7 x + 4 x = 5 - 10 - 3 x$
223979	Solve for x	1/(x-4)+1/(x+2)=1/(x^2-2x-8)	$\frac{1}{x - 4} + \frac{1}{x + 2} = \frac{1}{x^{2} - 2 x - 8}$
223980	Graph	3x<y	$3 x < y$
223981	Solve the Inequality for m	(3m)/5<-3/20	$\frac{3 m}{5} < - \frac{3}{20}$
223982	Simplify	(-4)*2-32÷(12-4)	$(- 4) \cdot 2 - 32 \div (12 - 4)$
223983	Divide	(2x^3+11x^2-21x)/(x^2+3x)	$\frac{2 x^{3} + 11 x^{2} - 21 x}{x^{2} + 3 x}$
223984	Simplify	(3/(3-x)*(2x^2+18x+16)/(-x-1))÷((x^2+11x+24)/(9-x^2))	$\frac{3}{3 - x} \cdot \frac{2 x^{2} + 18 x + 16}{- x - 1} \div \frac{x^{2} + 11 x + 24}{9 - x^{2}}$
223985	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+21x^2+13x+2 is divided by 3x+2	Use the long division method to find the result when $9 x^{3} + 21 x^{2} + 13 x + 2$ is divided by $3 x + 2$
223986	Write the Fraction in Simplest Form	(2/(3+x))/(4(y+1))	$\frac{\frac{2}{3 + x}}{4 (y + 1)}$
223987	Graph	\|y\|=x^2-4x+3	$\| y \| = x^{2} - 4 x + 3$
223988	Simplify the Radical Expression	square root of 80a^2b^3c^3	$\sqrt{80 a^{2} b^{3} c^{3}}$
223989	Evaluate	i^6i^19i^39	$i^{6} \cdot i^{19} \cdot i^{39}$
223990	Simplify	(r^8*r^-8)/4	$\frac{r^{8} \cdot r^{- 8}}{4}$
223991	Simplify	(2i-6)-(-3i+3)	$(2 i - 6) - (- 3 i + 3)$
223992	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-5,-3) and has a slope of -1 ?	What is the equation of the line that passes through the point $(- 5, - 3)$ and has a slope of $- 1$ ?
223993	Graph	x<=-4y-8	$x \leq - 4 y - 8$
223994	Simplify	(x^-8y^72x^4y^8)/(6x^-3y^7x^4)	$\frac{x^{- 8} y^{7} \cdot 2 x^{4} y^{8}}{6 x^{- 3} y^{7} \cdot x^{4}}$
223995	Write the Fraction in Simplest Form	((2p^-1)^5)/(6j^-8p^-8)	$\frac{{(2 p^{- 1})}^{5}}{6 j^{- 8} p^{- 8}}$
223996	Factor	7(5x-7)^2+9(5x-7)(x+9)	$7 {(5 x - 7)}^{2} + 9 (5 x - 7) (x + 9)$
223997	Graph	y=1/2(x-2)^3	$y = \frac{1}{2} {(x - 2)}^{3}$
223998	Solve for n	\|6n\|<=18	$\| 6 n \| \leq 18$
223999	Solve by Factoring	square root of e=-10	$\sqrt{e} = - 10$
224000	Solve the System of Equations	x-3y+z=-8 x+5y+6z=-10 -x-y+2z=-2	$x - 3 y + z = - 8$ $x + 5 y + 6 z = - 10$ $- x - y + 2 z = - 2$