Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8601	Evaluate the Integral	integral of -5(2(5x^2-5x-1)^2+5(5x^2-5x-1)+2)(2x-1) with respect to x	$\int - 5 (2 {(5 x^{2} - 5 x - 1)}^{2} + 5 (5 x^{2} - 5 x - 1) + 2) (2 x - 1) d x$
8602	Simplify	4/3xy+4y-2(5/6xy+y-1)-(-1)	$\frac{4}{3} x y + 4 y - 2 (\frac{5}{6} x y + y - 1) - (- 1)$
8603	Solve for x	ax-b=cy	$a x - b = c y$
8604	Evaluate the Integral	integral from 0 to 1 of 2/( square root of 4-x^2) with respect to x	$\int_{0}^{1} \frac{2}{\sqrt{4 - x^{2}}} d x$
8605	Find the Cotangent Given the Point	((3 square root of 10)/10,-( square root of 10)/10)	$(\frac{3 \sqrt{10}}{10}, - \frac{\sqrt{10}}{10})$
8606	Find the Antiderivative	f(x)=5+x+x^2+x^3	$f (x) = 5 + x + x^{2} + x^{3}$
8607	Round to the Nearest Hundredth	2/3	$\frac{2}{3}$
8608	Solve for w	3w^2-4w=A	$3 w^{2} - 4 w = A$
8609	Simplify	(x^0y^-2)^(6/3)	${(x^{0} y^{- 2})}^{\frac{6}{3}}$
8610	Solve for y	log base 4 of 1/8=y	$\log_{4} (\frac{1}{8}) = y$
8611	Solve for x	(1/9)^(-2x^2+6x)=(1/81)^(-2x-36)	${(\frac{1}{9})}^{- 2 x^{2} + 6 x} = {(\frac{1}{81})}^{- 2 x - 36}$
8612	Solve for n	(9n-6)/7+2=(6n-2)/2	$\frac{9 n - 6}{7} + 2 = \frac{6 n - 2}{2}$
8613	Simplify	12 root of 4a^2b^2c^2	$\sqrt[12]{4 a^{2} b^{2} c^{2}}$
8614	Factor	y^(6a)+65y^(3a)+64	$y^{6 a} + 65 y^{3 a} + 64$
8615	Simplify/Condense	log of 4x+2* log of x-3	$\log (4 x) + 2 \cdot \log (x - 3)$
8616	Simplify	3x^2+(5x)*(5x)/10	$3 x^{2} + (5 x) \cdot \frac{5 x}{10}$
8617	Find the Inflection Points	f(x)=1/6x^6+x^5+5/3x^4	$f (x) = \frac{1}{6} x^{6} + x^{5} + \frac{5}{3} x^{4}$
8618	Simplify	(6 cube root of 16-10 cube root of 32)÷2 cube root of 2	$(6 \sqrt[3]{16} - 10 \sqrt[3]{32}) \div 2 \sqrt[3]{2}$
8619	Evaluate the Integral	integral of -(4(x^2+x+5)^2+3(x^2+x+5)+4)(2x+1) with respect to x	$\int - (4 {(x^{2} + x + 5)}^{2} + 3 (x^{2} + x + 5) + 4) (2 x + 1) d x$
8620	Combine Like Terms	11x+10y-8x-12y	$11 x + 10 y - 8 x - 12 y$
8621	Determine if a Polynomial	-6y^5z^5-(x^4)/3	$- 6 y^{5} z^{5} - \frac{x^{4}}{3}$
8622	Solve for m	m=m_0/( square root of 1-((v^2)/(c^2)))	$m = \frac{m_{0}}{\sqrt{1 - (\frac{v^{2}}{c^{2}})}}$
8623	Simplify	(10^0r^-11*8)/(3^2)	$\frac{10^{0} r^{- 11} \cdot 8}{3^{2}}$
8624	Find the Product	(2+ square root of 3)(2- square root of 3)	$(2 + \sqrt{3}) (2 - \sqrt{3})$
8625	Graph	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$
8626	Simplify	8/(3y)+2/9-3/(10y^2)	$\frac{8}{3 y} + \frac{2}{9} - \frac{3}{10 y^{2}}$
8627	Simplify	4x+(7-z)-6y	$4 x + (7 - z) - 6 y$
8628	Simplify	(32^20-52^19)/((-2^6)^3)	$\frac{3 \cdot 2^{20} - 5 \cdot 2^{19}}{{(- 2^{6})}^{3}}$
8629	Find the Derivative - d/dx	y=x^2tanh(2x-1)	$y = x^{2} \tanh (2 x - 1)$
8630	Find Amplitude, Period, and Phase Shift	f(t)=2sin((5pi)/2t)	$f (t) = 2 \sin (\frac{5 π}{2} t)$
8631	Convert to a Decimal	215deg	$215$ degrees
8632	Simplify	(2^(2/3))^3	${(2^{\frac{2}{3}})}^{3}$
8633	Simplify	i^10i^37i^36	$i^{10} \cdot i^{37} \cdot i^{36}$
8634	Solve for n	4 square root of 5n-20=16	$4 \sqrt{5 n - 20} = 16$
8635	Solve the Inequality for x	3^(4x-5)<8	$3^{4 x - 5} < 8$
8636	Simplify	((-3^2)^327)/(9^4(1/3)^3)	$\frac{{(- 3^{2})}^{3} \cdot 27}{9^{4} \cdot {(\frac{1}{3})}^{3}}$
8637	Divide	((9-x^2)/(3x))÷((x^2+6x+9)/(3x))	$\frac{9 - x^{2}}{3 x} \div \frac{x^{2} + 6 x + 9}{3 x}$
8638	Simplify	square root of 18x^2y+ square root of 8x^2y- square root of 50x^2y	$\sqrt{18 x^{2} y} + \sqrt{8 x^{2} y} - \sqrt{50 x^{2} y}$
8639	Simplify the Radical Expression	square root of 10+ square root of 10	$\sqrt{10} + \sqrt{10}$
8640	Graph	y=sin(2x+(3pi)/2)	$y = \sin (2 x + \frac{3 π}{2})$
8641	Solve the Inequality for b	b-27>=3	$b - 27 \geq 3$
8642	Evaluate	6(a+2b+3c)	$6 (a + 2 b + 3 c)$
8643	Simplify	Subtract 10x^2-10x+2 from -8x^2+7x-7	Subtract $10 x^{2} - 10 x + 2$ from $- 8 x^{2} + 7 x - 7$
8644	Simplify	sixth root of 3^5* fourth root of 3^3	$\sqrt[6]{3^{5}} \cdot \sqrt[4]{3^{3}}$
8645	Solve for x	5/(2x+6)-1/6=2/(x+4)	$\frac{5}{2 x + 6} - \frac{1}{6} = \frac{2}{x + 4}$
8646	Convert to Radical Form	10^(6/3)	$10^{\frac{6}{3}}$
8647	Find the Domain	((m^2+m-mn-n)/(m^2+m+mn+n))÷((m^2-m-mn+n)/(m^2-m+mn-n))	$\frac{m^{2} + m - m n - n}{m^{2} + m + m n + n} \div \frac{m^{2} - m - m n + n}{m^{2} - m + m n - n}$
8648	Find the Derivative of the Integral	F(x)=2+ integral from 0 to x of f(t) with respect to t	$F (x) = 2 + \int_{0}^{x} f (t) d t$
8649	Simplify the Radical Expression	(n root of a)^n	${(\sqrt[n]{a})}^{n}$
8650	Solve by Graphing	y=x+4 y=-3/2x-6	$y = x + 4$ $y = - \frac{3}{2} x - 6$
8651	Simplify	cot(theta)+1/(tan(theta))+(cos(theta))/(sin(theta))	$\cot (θ) + \frac{1}{\tan (θ)} + \frac{\cos (θ)}{\sin (θ)}$
8652	Solve the Function Operation	h(x)=3x+3 g(x)=-4x+1 Find (h+g)(10)	$h (x) = 3 x + 3$ $g (x) = - 4 x + 1$ Find $(h + g) (10)$
8653	Solve the Rational Equation for m	-7 fourth root of m+1=14	$- 7 \sqrt[4]{m + 1} = 14$
8654	Find Where Increasing/Decreasing	f(x)=x^3-3/2x^2-36x	$f (x) = x^{3} - \frac{3}{2} x^{2} - 36 x$
8655	Simplify	4y^3 cube root of 81x^8y^8	$4 y^{3} \sqrt[3]{81 x^{8} y^{8}}$
8656	Simplify	-3(0.15-0.2+0.25p)	$- 3 (0.15 - 0.2 + 0.25 p)$
8657	Find the Domain and Range	y=- square root of x-1+4	$y = - \sqrt{x - 1 + 4}$
8658	Solve Using the Quadratic Formula	(2x-1)(2x+1)=x(2x+3)	$(2 x - 1) (2 x + 1) = x (2 x + 3)$
8659	Convert to a Decimal	pirad	$π$ radians
8660	Evaluate	5x-7x+6=-2(x-3)	$5 x - 7 x + 6 = - 2 (x - 3)$
8661	Simplify	sixth root of 1/(w^-6*w^4)	$\sqrt[6]{\frac{1}{w^{- 6} \cdot w^{4}}}$
8662	Determine if the Sides Form a Right Triangle	7 , 10 , 12	$7$ , $10$ , $12$
8663	Write the Fraction in Simplest Form	(27 cube root of z^2)^(1/3)	${(27 \sqrt[3]{z^{2}})}^{\frac{1}{3}}$
8664	Solve for x	(1/9)^(-2x-42)=(1/3)^(-2x^2-14)	${(\frac{1}{9})}^{- 2 x - 42} = {(\frac{1}{3})}^{- 2 x^{2} - 14}$
8665	Find the Other Trig Values in Quadrant II	cot(theta)=-( square root of 5)/6	$\cot (θ) = - \frac{\sqrt{5}}{6}$
8666	Solve for θ	pi/2<theta<pi	$\frac{π}{2} < θ < π$
8667	Solve by Addition/Elimination	x=2y-3 2x-3y=-5	$x = 2 y - 3$ $2 x - 3 y = - 5$
8668	Simplify	6*6^-2	$6 \cdot 6^{- 2}$
8669	Evaluate	(-4+12-6^2)÷7	$(- 4 + 12 - 6^{2}) \div 7$
8670	Find the Domain and Range	c=5/9F-160/9	$c = \frac{5}{9} F - \frac{160}{9}$
8671	Find the Degree, Leading Term, and Leading Coefficient	-(x^3)/6-10+x	$- \frac{x^{3}}{6} - 10 + x$
8672	Find the Inverse	y=(x/2)^2	$y = {(\frac{x}{2})}^{2}$
8673	Solve for y	4-3y=x	$4 - 3 y = x$
8674	Describe the Transformation	y=(x)^3+6	$y = {(x)}^{3} + 6$
8675	Graph	y>=3 y>=2x-1	$y \geq 3$ $y \geq 2 x - 1$
8676	Solve for x	2x=5-(9x)/18	$2 x = 5 - \frac{9 x}{18}$
8677	Simplify	(3x^2+x-4)-(4x-6+8x^2)	$(3 x^{2} + x - 4) - (4 x - 6 + 8 x^{2})$
8678	Multiply	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
8679	Solve for m	0.5-0.2+2m=-0.3+3.5m	$0.5 - 0.2 + 2 m = - 0.3 + 3.5 m$
8680	Solve for x	(4^3)/(4^(2x))=4^(x+3)	$\frac{4^{3}}{4^{2 x}} = 4^{x + 3}$
8681	Simplify	sixth root of 3^5* sixth root of 3^5	$\sqrt[6]{3^{5}} \cdot \sqrt[6]{3^{5}}$
8682	Evaluate the Limit	limit as t approaches 3 of (3-t)/( square root of t+1- square root of 5t-11)	$lim_{t \to 3} \frac{3 - t}{\sqrt{t + 1} - \sqrt{5 t - 11}}$
8683	Verify the Identity	x^2-1=(x+1)(x-1)	$x^{2} - 1 = (x + 1) (x - 1)$
8684	Convert to a Decimal	sin(180)deg	$\sin (180)$ degrees
8685	Simplify	(3y^2+2x^2)^3	${(3 y^{2} + 2 x^{2})}^{3}$
8686	Convert to Radical Form	1/((5x)^(1/5))	$\frac{1}{{(5 x)}^{\frac{1}{5}}}$
8687	Simplify	(6c^2-10c+2c^3)-(7c+4c^2+1)	$(6 c^{2} - 10 c + 2 c^{3}) - (7 c + 4 c^{2} + 1)$
8688	Simplify the Radical Expression	square root of 3/(7x)	$\sqrt{\frac{3}{7 x}}$
8689	Solve for x	4^(16x-58)=(1/2)^(-2x^2-4)	$4^{16 x - 58} = {(\frac{1}{2})}^{- 2 x^{2} - 4}$
8690	Multiply	square root of z* square root of 30z^2* square root of 35z^3	$\sqrt{z} \cdot \sqrt{30 z^{2}} \cdot \sqrt{35 z^{3}}$
8691	Simplify the Radical Expression	3/( cube root of 3)	$\frac{3}{\sqrt[3]{3}}$
8692	Simplify	((x-5)3/2)^(2/3)	${((x - 5) \frac{3}{2})}^{\frac{2}{3}}$
8693	Solve the Inequality for x	4(5+2^2)<3(3-x)	$4 (5 + 2^{2}) < 3 (3 - x)$
8694	Solve for l	A=lw for l	$A = l w$ for $l$
8695	Evaluate the Limit	limit as x approaches pi of (x+pisec(x))/(x^2-pi^2)	$lim_{x \to π} \frac{x + π \sec (x)}{x^{2} - π^{2}}$
8696	Solve for q	2(q+p)=1+5q	$2 (q + p) = 1 + 5 q$
8697	Simplify	(3x^3+6x^2-18x)+(4x^2-24x+8)	$(3 x^{3} + 6 x^{2} - 18 x) + (4 x^{2} - 24 x + 8)$
8698	Simplify	(x^2-3x)-(2x^2+5x)	$(x^{2} - 3 x) - (2 x^{2} + 5 x)$
8699	Solve for x	7+(x-4)^2=11	$7 + {(x - 4)}^{2} = 11$
8700	Find the Slope	(-6,4) and (-6,12)	$(- 6, 4)$ and $(- 6, 12)$