Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14601	Solve the Inequality for t	-25+t/2>=50	$- 25 + \frac{t}{2} \geq 50$
14602	Simplify	(tan(A)(sec(A)-cos(A)))/(sin(A))	$\frac{\tan (A) (\sec (A) - \cos (A))}{\sin (A)}$
14603	Simplify	cos(t(1+tan(t)^2))	$\cos (t (1 + \tan^{2} (t)))$
14604	Graph	-2x+4y=6 x-2y=-3	$- 2 x + 4 y = 6$ $x - 2 y = - 3$
14605	Simplify	3a(a^2-3a+4)-4(3a^3-2a^2)	$3 a (a^{2} - 3 a + 4) - 4 (3 a^{3} - 2 a^{2})$
14606	Factor	2x(x-10)-400	$2 x (x - 10) - 400$
14607	Simplify	-2/5x+30+3/5x+20	$- \frac{2}{5} x + 30 + \frac{3}{5} x + 20$
14608	Solve for x	3.2/x=7.5/(x^2)	$\frac{3.2}{x} = \frac{7.5}{x^{2}}$
14609	Solve for v	8v+14=5v+6v-10	$8 v + 14 = 5 v + 6 v - 10$
14610	Find the Antiderivative	f(x)=2sin(x)+x^2	$f (x) = 2 \sin (x) + x^{2}$
14611	Solve for θ	tan(theta)*cos(theta)=-cos(theta)	$\tan (θ) \cdot \cos (θ) = - \cos (θ)$
14612	Find All Complex Solutions	-(x^2+x-8)/((x-3)(x+5))=x/(x-3)	$- \frac{x^{2} + x - 8}{(x - 3) (x + 5)} = \frac{x}{x - 3}$
14613	Solve the Inequality for x	(x^2-16)/(x^2+6x+8)>0	$\frac{x^{2} - 16}{x^{2} + 6 x + 8} > 0$
14614	Solve the System of Equations	2y=2x^2+4x-8 y=2x^2-28	$2 y = 2 x^{2} + 4 x - 8$ $y = 2 x^{2} - 28$
14615	Solve the Inequality for x	cos(x)>1/2	$\cos (x) > \frac{1}{2}$
14616	Write in Standard Form	(12x-1+2x^2)+(x^2+4)	$(12 x - 1 + 2 x^{2}) + (x^{2} + 4)$
14617	Evaluate	-2(6^2-(8-5)^3)	$- 2 (6^{2} - {(8 - 5)}^{3})$
14618	Evaluate	(5 2/3)^2-(4 1/3)^2	${(5 \frac{2}{3})}^{2} - {(4 \frac{1}{3})}^{2}$
14619	Simplify the Radical Expression	( square root of 3+ square root of 5)( square root of 3- square root of 5)	$(\sqrt{3} + \sqrt{5}) (\sqrt{3} - \sqrt{5})$
14620	Solve for x	x/2-1=(3-x)/5	$\frac{x}{2} - 1 = \frac{3 - x}{5}$
14621	Evaluate	square root of 2x=6	$\sqrt{2 x} = 6$
14622	Find the Antiderivative	x-x^2	$x - x^{2}$
14623	Verify the Identity	cos(t)((cos(t))/(sin(t))+tan(t))=1/(sin(t))	$\cos (t) (\frac{\cos (t)}{\sin (t)} + \tan (t)) = \frac{1}{\sin (t)}$
14624	Solve for θ in Degrees	tan(theta)^2-6tan(theta)+5=0	$\tan^{2} (θ) - 6 \tan (θ) + 5 = 0$
14625	Simplify	(3ab^(1/2))/(9a^(1/2)b^2)	$\frac{3 a b^{\frac{1}{2}}}{9 a^{\frac{1}{2}} b^{2}}$
14626	Divide	(2 square root of 2)÷2	$2 \sqrt{2} \div 2$
14627	Simplify the Radical Expression	1/( square root of 2b^3)	$\frac{1}{\sqrt{2 b^{3}}}$
14628	Solve the System of Equations	y=-3 y=x-3	$y = - 3$ $y = x - 3$
14629	Solve the Inequality for x	\|2x+1\|+7>2	$\| 2 x + 1 \| + 7 > 2$
14630	Simplify	c^2d^3(5cd^7-3c^3d^2-4d^3)	$c^{2} d^{3} (5 c d^{7} - 3 c^{3} d^{2} - 4 d^{3})$
14631	Solve for m	2m^2+2/3m=0	$2 m^{2} + \frac{2}{3} m = 0$
14632	Solve the System of Equations	y=5x^2-7x-3 y=3x^2+3x+45	$y = 5 x^{2} - 7 x - 3$ $y = 3 x^{2} + 3 x + 45$
14633	Simplify the Radical Expression	(4 square root of 20+6 square root of 30-10 square root of 40)/(2 square root of 10)	$\frac{4 \sqrt{20} + 6 \sqrt{30} - 10 \sqrt{40}}{2 \sqrt{10}}$
14634	Solve the Function Operation	f(x)=x^2+1 g(x)=2x-5 Find f(x)-g(x)	$f (x) = x^{2} + 1$ $g (x) = 2 x - 5$ Find $f (x) - g (x)$
14635	Solve for t	t*2/5=3/25	$t \cdot \frac{2}{5} = \frac{3}{25}$
14636	Simplify	square root of -8* square root of 24	$\sqrt{- 8 \cdot \sqrt{24}}$
14637	Divide	(2x^2-38-17x)/(3+2x)	$\frac{2 x^{2} - 38 - 17 x}{3 + 2 x}$
14638	Simplify	((sec(x)+1)(sec(x)-1))/(sin(x)^2)	$\frac{(\sec (x) + 1) (\sec (x) - 1)}{\sin^{2} (x)}$
14639	Simplify	((2^-1)/(2^0))^-2	${(\frac{2^{- 1}}{2^{0}})}^{- 2}$
14640	Find the Exact Value	(-( square root of 3)/2)/(-1/2)	$\frac{- \frac{\sqrt{3}}{2}}{- \frac{1}{2}}$
14641	Factor	(x^2-2)*2+2(x^2-2)-8	$(x^{2} - 2) \cdot 2 + 2 (x^{2} - 2) - 8$
14642	Write the Fraction in Simplest Form	(-5c^-2)/(-4(c^4)^4)	$\frac{- 5 c^{- 2}}{- 4 {(c^{4})}^{4}}$
14643	Simplify	(-8+6i)+(6-6i)+(7+6i)	$(- 8 + 6 i) + (6 - 6 i) + (7 + 6 i)$
14644	Simplify	12/(3y^2-10y-8)-3/(y^2-6y+8)	$\frac{12}{3 y^{2} - 10 y - 8} - \frac{3}{y^{2} - 6 y + 8}$
14645	Write in Standard Form	(a+b)(2a+3b)(2x-y)	$(a + b) (2 a + 3 b) (2 x - y)$
14646	Find the Degree	(zx^3)/9-x^3	$\frac{z x^{3}}{9} - x^{3}$
14647	Simplify	7/10m-1/3m+2m	$\frac{7}{10} m - \frac{1}{3} m + 2 m$
14648	Solve for x	square root of 2x-6- square root of 3x-14=0	$\sqrt{2 x - 6} - \sqrt{3 x - 14} = 0$
14649	Find the Fourth Roots of a Complex Number	8(cos(pi/2)+isin(pi/2))	$8 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
14650	Solve for b	8-(3b+5)=-5+2(b+1)	$8 - (3 b + 5) = - 5 + 2 (b + 1)$
14651	Simplify	4x^2 square root of 15xy*2xy square root of 98xy	$4 x^{2} \sqrt{15 x y} \cdot 2 x y \sqrt{98 x y}$
14652	Multiply	6m^3n^2(3m^5n^4+6m^3n)	$6 m^{3} n^{2} (3 m^{5} n^{4} + 6 m^{3} n)$
14653	Write in Slope-Intercept Form	2x+y<=8	$2 x + y \leq 8$
14654	Solve for y	y-5=-(4-y)	$y - 5 = - (4 - y)$
14655	Find the Domain and Range	f(x)=(x-3)^(1/2)	$f (x) = {(x - 3)}^{\frac{1}{2}}$
14656	Solve by Substitution	x=17-4y and y=x-2	$x = 17 - 4 y$ and $y = x - 2$
14657	Divide	((y^2-5y+4)/(y^2-1))÷((y^2-9)/(y^2+5y+4))	$\frac{y^{2} - 5 y + 4}{y^{2} - 1} \div \frac{y^{2} - 9}{y^{2} + 5 y + 4}$
14658	Find the Degree, Leading Term, and Leading Coefficient	f(x)=3/2(x-2)	$f (x) = \frac{3}{2} (x - 2)$
14659	Find the Domain and Range	f(x)=1/2x^(3/2)	$f (x) = \frac{1}{2} x^{\frac{3}{2}}$
14660	Rationalize the Denominator	sixth root of 64/y	$\sqrt[6]{\frac{64}{y}}$
14661	Find the Coterminal Angle	9pi	$9 π$
14662	Solve for x	log of x-1/2 log of x+4=1	$\log (x) - \frac{1}{2} \log (x + 4) = 1$
14663	Multiply	3 square root of 22 square root of 8 square root of 3* square root of 6	$3 \sqrt{2} \cdot 2 \sqrt{8} \cdot \sqrt{3} \cdot \sqrt{6}$
14664	Solve for x	1/(2x-3)=1/(5-2x)	$\frac{1}{2 x - 3} = \frac{1}{5 - 2 x}$
14665	Simplify	((8x^2+24x)/(x^2-9))/((2x)/(15-5x))	$\frac{\frac{8 x^{2} + 24 x}{x^{2} - 9}}{\frac{2 x}{15 - 5 x}}$
14666	Simplify	(qr^6)^(1/2)	${(q r^{6})}^{\frac{1}{2}}$
14667	Solve for x	2/(x-2)+3/(x-3)=-5/(x^2-5x+6)	$\frac{2}{x - 2} + \frac{3}{x - 3} = - \frac{5}{x^{2} - 5 x + 6}$
14668	Solve by Addition/Elimination	6(x+y)=6 -2x-6y=-38	$6 (x + y) = 6$ $- 2 x - 6 y = - 38$
14669	Evaluate	((x+y)^-2(x+y)^4)/((x+y)^3)	$\frac{{(x + y)}^{- 2} {(x + y)}^{4}}{{(x + y)}^{3}}$
14670	Find the Center and Radius	(y^2)/9-(x+4)^2=1	$\frac{y^{2}}{9} - {(x + 4)}^{2} = 1$
14671	Evaluate	(-4-3i)+(-6-9i)	$(- 4 - 3 i) + (- 6 - 9 i)$
14672	Find Amplitude, Period, and Phase Shift	y=1/2csc(2x)	$y = \frac{1}{2} \csc (2 x)$
14673	Solve the Rational Equation for m	square root of m/5=5	$\sqrt{\frac{m}{5}} = 5$
14674	Solve for x	6+ square root of 4x+8=9	$6 + \sqrt{4 x + 8} = 9$
14675	Add	Find the sum of -3x^2-x-10 and 10x^2+x-10	Find the sum of $- 3 x^{2} - x - 10$ and $10 x^{2} + x - 10$
14676	Find Trig Functions Using Identities	cot(theta)=6 , sec(theta)<0	$\cot (θ) = 6$ , $\sec (θ) < 0$
14677	Solve for p	2x^2+px+4=0	$2 x^{2} + p x + 4 = 0$
14678	Graph	y=3/2 square root of x+4	$y = \frac{3}{2} \sqrt{x} + 4$
14679	Find dy/dx	5-y^3=xy	$5 - y^{3} = x y$
14680	Solve the Inequality for k	15-5k>=0	$15 - 5 k \geq 0$
14681	Simplify	(x^1y^11y^-13)/(x^5)	$\frac{x^{1} y^{11} y^{- 13}}{x^{5}}$
14682	Find the Derivative - d/dx	1/(1+sin(x))	$\frac{1}{1 + \sin (x)}$
14683	Add	(2x^5-6x^3-12x^2-4)+(-11x^5+8x+2x^2+6)	$(2 x^{5} - 6 x^{3} - 12 x^{2} - 4) + (- 11 x^{5} + 8 x + 2 x^{2} + 6)$
14684	Find the Percentage Rate of Change	h(t)=1250(0.865)^t	$h (t) = 1250 {(0.865)}^{t}$
14685	Simplify	(7y-4)(2y+3)-13y	$(7 y - 4) (2 y + 3) - 13 y$
14686	Simplify	((x^5y^-1)/(6y^2))^-2((x^2y^-2)/(9y))^2	${(\frac{x^{5} y^{- 1}}{6 y^{2}})}^{- 2} \cdot {(\frac{x^{2} \cdot y^{- 2}}{9 y})}^{2}$
14687	Simplify	square root of 81x* fourth root of 16x^10	$\sqrt{81 x} \cdot \sqrt[4]{16 x^{10}}$
14688	Simplify	(6x-4x^2-7x^3)-(9x^2-5x)	$(6 x - 4 x^{2} - 7 x^{3}) - (9 x^{2} - 5 x)$
14689	Solve for a	sin(a)=cos(a+40)	$\sin (a) = \cos (a + 40)$
14690	Find the Exact Value	(27 1/3)^3	${(27 \frac{1}{3})}^{3}$
14691	Solve for θ in Degrees	tan(theta)=undefined	$\tan (θ) = u n d e f i n e d$
14692	Convert to Radical Form	mp1/2	$m p \frac{1}{2}$
14693	Solve the System of Inequalities	3m+18>33 and -8m>=32	$3 m + 18 > 33$ and $- 8 m \geq 32$
14694	Solve by Addition/Elimination	2/3x+3/7y=-13/3 1/8x+3/7y=-13/4	$\frac{2}{3} x + \frac{3}{7} y = - \frac{13}{3}$ $\frac{1}{8} x + \frac{3}{7} y = - \frac{13}{4}$
14695	Simplify	(8y^2-32)/(4y^2-16)	$\frac{8 y^{2} - 32}{4 y^{2} - 16}$
14696	Simplify	(x^2-6x+12)+(2x^2+4x-10)	$(x^{2} - 6 x + 12) + (2 x^{2} + 4 x - 10)$
14697	Find the Domain and Range	f(x)=4* log base pi of x	$f (x) = 4 \cdot \log_{π} (x)$
14698	Add	2x^2-8x-6+9x^2-8	$2 x^{2} - 8 x - 6 + 9 x^{2} - 8$
14699	Simplify	((a^-1b)^2)/(ab^2)	$\frac{{(a^{- 1} b)}^{2}}{a b^{2}}$
14700	Solve for x	-3/5x+1/5>7/20	$- \frac{3}{5} x + \frac{1}{5} > \frac{7}{20}$