Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
229601	Find the Domain and Range	y=9cot(2x-pi/2)-3	$y = 9 \cot (2 x - \frac{π}{2}) - 3$
229602	Write Using Negative Exponents	1/((xy)^1)	$\frac{1}{{(x y)}^{1}}$
229603	Solve for x	-(6x+6)+2=-6x-3	$- (6 x + 6) + 2 = - 6 x - 3$
229604	Convert to a Decimal	sin(480)deg	$\sin (480)$ degrees
229605	Evaluate the Function	f(x)=-x^3+2x^2-3 at x=-1	$f (x) = - x^{3} + 2 x^{2} - 3$ at $x = - 1$
229606	Evaluate	90% of 20	$90 %$ of $20$
229607	Find the LCD	(10x)/(x-3) and (4x)/(x-2)	$\frac{10 x}{x - 3}$ and $\frac{4 x}{x - 2}$
229608	Find the Degree	2ab^3-5b	$2 a b^{3} - 5 b$
229609	Factor	6x^3-9x-x^5	$6 x^{3} - 9 x - x^{5}$
229610	Solve the System of Equations	x^2+y^2=25 x^2=5-y	$x^{2} + y^{2} = 25$ $x^{2} = 5 - y$
229611	Simplify	x/(x^2-4)+1/x	$\frac{x}{x^{2} - 4} + \frac{1}{x}$
229612	Solve the Inequality for u	8u<=35	$8 u \leq 35$
229613	Solve for b	-196=-4-3b^2	$- 196 = - 4 - 3 b^{2}$
229614	Solve the System of Equations	1/2(2x+y)=21/2 y=2x	$\frac{1}{2} (2 x + y) = \frac{21}{2}$ $y = 2 x$
229615	Solve the System of Equations	2y-x=0 x=y+7	$2 y - x = 0$ $x = y + 7$
229616	Solve for x	(x^2-x-12)/(x+5)>=0	$\frac{x^{2} - x - 12}{x + 5} \geq 0$
229617	Graph	y>=0 y<=1/2x+2 y<-1/2x+2	$y \geq 0$ $y \leq \frac{1}{2} x + 2$ $y < - \frac{1}{2} x + 2$
229618	Describe the Transformation	y=2 cube root of x	$y = 2 \sqrt[3]{x}$
229619	Graph	y>-x^2+x+6	$y > - x^{2} + x + 6$
229620	Evaluate	square root of 25-3x=x-9	$\sqrt{25 - 3 x} = x - 9$
229621	Solve for a	(6y^2)^2(2y^3)^-1=ay^b	${(6 y^{2})}^{2} {(2 y^{3})}^{- 1} = a y^{b}$
229622	Simplify	m^(5/2) square root of 324	$m^{\frac{5}{2}} \sqrt{324}$
229623	Simplify	9/((3d)^-3)	$\frac{9}{{(3 d)}^{- 3}}$
229624	Simplify	8(x-y)+5(x-5y)+6y	$8 (x - y) + 5 (x - 5 y) + 6 y$
229625	Solve the System of Equations	x^2+y^2=1 y=2x+2	$x^{2} + y^{2} = 1$ $y = 2 x + 2$
229626	Solve for b	square root of b=35	$\sqrt{b} = 35$
229627	Solve for a	3a^3-10=-7	$3 a^{3} - 10 = - 7$
229628	Solve for x	2(x^2-4x)-5=2x^2-6x+9	$2 (x^{2} - 4 x) - 5 = 2 x^{2} - 6 x + 9$
229629	Solve for θ	cos(theta)<0	$\cos (θ) < 0$
229630	Solve for x	-9=3x^2-8x-20	$- 9 = 3 x^{2} - 8 x - 20$
229631	Simplify	(x^2y)/(y^-2)	$\frac{x^{2} y}{y^{- 2}}$
229632	Simplify	2 cube root of x^2* square root of 16x	$2 \sqrt[3]{x^{2}} \cdot \sqrt{16 x}$
229633	Solve for t	4(9+3t)-12=-6	$4 (9 + 3 t) - 12 = - 6$
229634	Find the Domain and Range	y=cos(x/2)	$y = \cos (\frac{x}{2})$
229635	Solve for c	5c-5=-5c-7	$5 c - 5 = - 5 c - 7$
229636	Rationalize the Denominator	( square root of 6)/(5+ square root of 3)	$\frac{\sqrt{6}}{5 + \sqrt{3}}$
229637	Simplify	-1/2(1/4x-3/8)	$- \frac{1}{2} (\frac{1}{4} x - \frac{3}{8})$
229638	Solve for x	16=x^4	$16 = x^{4}$
229639	Describe the Transformation	y=-2+ cube root of x	$y = - 2 + \sqrt[3]{x}$
229640	Simplify the Radical Expression	(12x^(7/2))/(3x^2)	$\frac{12 x^{\frac{7}{2}}}{3 x^{2}}$
229641	Combine Like Terms	8+3a+7b-5+2a-7b	$8 + 3 a + 7 b - 5 + 2 a - 7 b$
229642	Divide	x/-1	$\frac{x}{- 1}$
229643	Divide	-x/-1	$- \frac{x}{- 1}$
229644	Simplify	(((x^-8)^(1/4))^-1 cube root of x^2)/( sixth root of x^4)	$\frac{{({(x^{- 8})}^{\frac{1}{4}})}^{- 1} \sqrt[3]{x^{2}}}{\sqrt[6]{x^{4}}}$
229645	Solve the Rational Equation for x	square root of 3x-5 = square root of 2x+25	$\sqrt{3 x - 5} = \sqrt{2 x + 25}$
229646	Solve the Inequality for x	x+(x+1)+(x+2)>60	$x + (x + 1) + (x + 2) > 60$
229647	Simplify	( square root of 24)( square root of 36)	$(\sqrt{24}) (\sqrt{36})$
229648	Convert to Radical Form	(10n)^(3/3)	${(10 n)}^{\frac{3}{3}}$
229649	Evaluate	(6-4(2+3)^2-2+5)^0	${(6 - 4 {(2 + 3)}^{2} - 2 + 5)}^{0}$
229650	Graph	F(x)=1/2 square root of x+3	$F (x) = \frac{1}{2} \sqrt{x} + 3$
229651	Solve the Inequality for x	-2>5+1/3(3x+3/4)-3/4x	$- 2 > 5 + \frac{1}{3} (3 x + \frac{3}{4}) - \frac{3}{4} x$
229652	Find the Domain and Range	f(x)=-3/x-1	$f (x) = - \frac{3}{x} - 1$
229653	Evaluate	(x^-4x^2y^-8)/(y^3)	$\frac{x^{- 4} x^{2} y^{- 8}}{y^{3}}$
229654	Simplify	(1/(a^5))^-4	${(\frac{1}{a^{5}})}^{- 4}$
229655	Simplify the Radical Expression	(32^2x^4y^12)^(1/5)	${(32^{2} x^{4} y^{12})}^{\frac{1}{5}}$
229656	Simplify	((-2t^5)/(at^2))^4	${(\frac{- 2 t^{5}}{a t^{2}})}^{4}$
229657	Graph	y=3+2sin(3)(x+1)	$y = 3 + 2 \sin (3) (x + 1)$
229658	Solve for r	5/9=6/r	$\frac{5}{9} = \frac{6}{r}$
229659	Solve the Inequality for x	7(x+1)<5x+1-4x	$7 (x + 1) < 5 x + 1 - 4 x$
229660	Simplify	square root of fifth root of k^11	$\sqrt{\sqrt[5]{k^{11}}}$
229661	Simplify	(-i square root of 2)(i square root of 2)	$(- i \sqrt{2}) (i \sqrt{2})$
229662	Solve the Rational Equation for x	2 cube root of x-3+15=10	$2 \sqrt[3]{x - 3} + 15 = 10$
229663	Graph	f(x)=(-5x+20)/(2x^2-32)	$f (x) = \frac{- 5 x + 20}{2 x^{2} - 32}$
229664	Divide	(6y^2+y-2)(2y-1)^-1	$(6 y^{2} + y - 2) {(2 y - 1)}^{- 1}$
229665	Solve the Inequality for n	2(n-1)+4n=2(3n-1)	$2 (n - 1) + 4 n = 2 (3 n - 1)$
229666	Simplify	2(2x-3y)+4(4x)	$2 (2 x - 3 y) + 4 (4 x)$
229667	Evaluate	(4x^3-5x^2+3x)+(-2x^3-x^2+6x)	$(4 x^{3} - 5 x^{2} + 3 x) + (- 2 x^{3} - x^{2} + 6 x)$
229668	Simplify	(4yx^3)/(4x^4y^2)	$\frac{4 y x^{3}}{4 x^{4} y^{2}}$
229669	Find the Holes in the Graph	f(x)=(2x^3+8x^2-10x)/(2x^2+2x)	$f (x) = \frac{2 x^{3} + 8 x^{2} - 10 x}{2 x^{2} + 2 x}$
229670	Solve the Inequality for b	7-2/b<=5/b	$7 - \frac{2}{b} \leq \frac{5}{b}$
229671	Solve for x	8x=x-3(10+x)	$8 x = x - 3 (10 + x)$
229672	Solve by Addition/Elimination	y=6x-11 -2x-3y=-7	$y = 6 x - 11$ $- 2 x - 3 y = - 7$
229673	Factor	2x^2(x+1)^2-12x(x+1)	$2 x^{2} {(x + 1)}^{2} - 12 x (x + 1)$
229674	Find the Holes in the Graph	f(x)=-5/(x^2-2x-3)	$f (x) = \frac{- 5}{x^{2} - 2 x - 3}$
229675	Solve for x	x = square root of a^2-a-2	$x = \sqrt{a^{2} - a - 2}$
229676	Subtract	1/(2+x)-(2-x)/x	$\frac{1}{2 + x} - \frac{2 - x}{x}$
229677	Simplify	1/(xy^2)+x	$\frac{1}{x y^{2}} + x$
229678	Combine Like Terms	(2x^2+5x-7)+(3-4x^2+6x)	$(2 x^{2} + 5 x - 7) + (3 - 4 x^{2} + 6 x)$
229679	Evaluate	((3m^2n^7)/m)^5	${(\frac{3 m^{2} n^{7}}{m})}^{5}$
229680	Evaluate	square root of pi/4	$\sqrt{\frac{π}{4}}$
229681	Simplify	m^23m^46a*a^-3	$m^{2} \cdot 3 m^{4} \cdot 6 a \cdot a^{- 3}$
229682	Solve for x	4x-2(3x-2)=3x	$4 x - 2 (3 x - 2) = 3 x$
229683	Simplify	(1/3x+1/4)-(1/2x-2/3)	$(\frac{1}{3} x + \frac{1}{4}) - (\frac{1}{2} x - \frac{2}{3})$
229684	Find the Roots (Zeros)	3x^2-3=0	$3 x^{2} - 3 = 0$
229685	Simplify	(2-3i^3)(1+i)	$(2 - 3 i^{3}) (1 + i)$
229686	Divide Using Long Polynomial Division	(9x^3+6x^2+x+22)/(3x+4)	$\frac{9 x^{3} + 6 x^{2} + x + 22}{3 x + 4}$
229687	Simplify	(tan(x)^2)/(sin(x)^2)-1	$\frac{\tan^{2} (x)}{\sin^{2} (x)} - 1$
229688	Simplify	square root of 2x^3yz^4* square root of 32x^2y^2z^4	$\sqrt{2 x^{3} y z^{4}} \cdot \sqrt{32 x^{2} y^{2} z^{4}}$
229689	Simplify the Radical Expression	( square root of ab)/( square root of a+ square root of b)	$\frac{\sqrt{a b}}{\sqrt{a} + \sqrt{b}}$
229690	Find the Complex Conjugate	square root of 5- square root of 2	$\sqrt{5} - \sqrt{2}$
229691	Simplify	(ab)/( square root of a)	$\frac{a b}{\sqrt{a}}$
229692	Graph	x+2y>=6 x+2y>=-10	$x + 2 y \geq 6$ $x + 2 y \geq - 10$
229693	Find the Domain and Range	y=3 fourth root of x-1	$y = 3 \sqrt[4]{x - 1}$
229694	Evaluate	4/3+(50/7+8/15)	$\frac{4}{3} + (\frac{50}{7} + \frac{8}{15})$
229695	Find the Exact Value	(-1/2)÷(( square root of 3)/2)	$- \frac{1}{2} \div \frac{\sqrt{3}}{2}$
229696	Find the Axis of Symmetry	f(x)=-(x^2+2x-3)	$f (x) = - (x^{2} + 2 x - 3)$
229697	Simplify	(8m^-2n^4)(1/2n^-2)	$(8 m^{- 2} n^{4}) (\frac{1}{2} n^{- 2})$
229698	Simplify the Radical Expression	square root of 11+8 square root of 7-2 square root of 7-6 square root of 11	$\sqrt{11} + 8 \sqrt{7} - 2 \sqrt{7} - 6 \sqrt{11}$
229699	Simplify	(x^2-4)/(5x)*30/(3x-6)	$\frac{x^{2} - 4}{5 x} \cdot \frac{30}{3 x - 6}$
229700	Simplify	( cube root of 5z^7b^4)/( cube root of 25xy)	$\frac{\sqrt[3]{5 z^{7} b^{4}}}{\sqrt[3]{25 x y}}$