Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
4601	Solve for p	22p=6	$22 p = 6$
4602	Subtract	-2/3-5/6	$\frac{- 2}{3} - \frac{5}{6}$
4603	Evaluate	fourth root of 2m=4	$\sqrt[4]{2 m} = 4$
4604	Evaluate	-2sin(theta)^2+cos(theta)+1=0	$- 2 \sin^{2} (θ) + \cos (θ) + 1 = 0$
4605	Simplify	(2-6x)/(-9x+3)	$\frac{2 - 6 x}{- 9 x + 3}$
4606	Solve for x	3(3x+2)-2x=7x+6	$3 (3 x + 2) - 2 x = 7 x + 6$
4607	Find the Roots (Zeros)	f(t)=3t(t-3)(t+4)	$f (t) = 3 t (t - 3) (t + 4)$
4608	Evaluate	(1+3^2)/2-4^2	$\frac{1 + 3^{2}}{2} - 4^{2}$
4609	Find the Upper and Lower Bounds	f(x)=x^4-4x^3+9x^2-x-14	$f (x) = x^{4} - 4 x^{3} + 9 x^{2} - x - 14$
4610	Find All Complex Solutions	\|x\|+x=0	$\| x \| + x = 0$
4611	Simplify	fifth root of (( square root of 4x)^2( cube root of 3x)^3)/(( square root of 5)^2)	$\sqrt[5]{\frac{{(\sqrt{4 x})}^{2} {(\sqrt[3]{3 x})}^{3}}{{(\sqrt{5})}^{2}}}$
4612	Solve for x	1/6+1/(3x)=3/(2x)	$\frac{1}{6} + \frac{1}{3 x} = \frac{3}{2 x}$
4613	Find the Inverse	f(x)=1/5(x-2)^2+3	$f (x) = \frac{1}{5} {(x - 2)}^{2} + 3$
4614	Simplify	10i^62+11i^41+6i^84+5i^104	$10 i^{62} + 11 i^{41} + 6 i^{84} + 5 i^{104}$
4615	Simplify the Matrix	([(1,4-0,2)*3,2])÷1 , 5	$[(1, 4 - 0, 2) \times 3, 2] \div 1$ , $5$
4616	Subtract	3 square root of 48-2 square root of 27-2 square root of 18	$3 \sqrt{48} - 2 \sqrt{27} - 2 \sqrt{18}$
4617	Solve the Inequality for x	(10-x)/(x-3)>0	$\frac{10 - x}{x - 3} > 0$
4618	Simplify	square root of x^7y^7*3 square root of 5x^3y^2	$\sqrt{x^{7} y^{7}} \cdot 3 \sqrt{5 x^{3} y^{2}}$
4619	Simplify	-3y^2z^2*(-2yz^2-3z)	$- 3 y^{2} z^{2} \cdot (- 2 y z^{2} - 3 z)$
4620	Write the Fraction in Simplest Form	(15b^10)/((5b^5)^2)	$\frac{15 b^{10}}{{(5 b^{5})}^{2}}$
4621	Solve the System of Equations	6(x+y)=6 -2x-6y=-38	$6 (x + y) = 6$ $- 2 x - 6 y = - 38$
4622	Solve the Absolute Value Inequality for x	\|(x-1)/(3x-6)\|=(1-x)/(3x-6)	$\| \frac{x - 1}{3 x - 6} \| = \frac{1 - x}{3 x - 6}$
4623	Rationalize the Denominator	(2- square root of 3)/(5- square root of 3)	$\frac{2 - \sqrt{3}}{5 - \sqrt{3}}$
4624	Factor	9y^2-(1+2y)^2	$9 y^{2} - {(1 + 2 y)}^{2}$
4625	Simplify	sixth root of 3* cube root of 4	$\sqrt[6]{3} \cdot \sqrt[3]{4}$
4626	Evaluate Using the Given Value	e^x+100e+8x^4+49 at x=1	$e^{x} + 100 e + 8 x^{4} + 49$ at $x = 1$
4627	Simplify	((5^3)/(5^4))^-3	${(\frac{5^{3}}{5^{4}})}^{- 3}$
4628	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,6) and has a slope of 1/3 ?	What is the equation of the line that passes through the point $(- 6, 6)$ and has a slope of $\frac{1}{3}$ ?
4629	Simplify	(3 fifth root of 64x^10y^3)/( fifth root of 2x^3y^-7)	$\frac{3 \sqrt[5]{64 x^{10} y^{3}}}{\sqrt[5]{2 x^{3} y^{- 7}}}$
4630	Find the Derivative - d/dx	- square root of 5x	$- \sqrt{5 x}$
4631	Simplify	4/(3 square root of 2x)	$\frac{4}{3 \sqrt{2 x}}$
4632	Find the Domain	y/(3y^2-12)*(y^2-4y+4)	$\frac{y}{3 y^{2} - 12} \cdot (y^{2} - 4 y + 4)$
4633	Solve for x	16/6=(3x)/9	$\frac{16}{6} = \frac{3 x}{9}$
4634	Solve by Graphing	y=-3/2x-4 y=x+1	$y = - \frac{3}{2} x - 4$ $y = x + 1$
4635	Evaluate	2^-9*4^3	$2^{- 9} \cdot 4^{3}$
4636	Determine if a Polynomial	x+x^2	$x + x^{2}$
4637	Solve for b	329=-7(1+6b)	$329 = - 7 (1 + 6 b)$
4638	Find the Antiderivative	x/( square root of 2x+1)	$\frac{x}{\sqrt{2 x + 1}}$
4639	Simplify	square root of 21b square root of 35b	$\sqrt{21 b} \sqrt{35 b}$
4640	Simplify	fourth root of 1/(p^5*p^7)	$\sqrt[4]{\frac{1}{p^{5} \cdot p^{7}}}$
4641	Evaluate the Limit	limit as x approaches infinity of (5x-28x^3)/(5x^2-14x^3-9)	$lim_{x \to \infty} \frac{5 x - 28 x^{3}}{5 x^{2} - 14 x^{3} - 9}$
4642	Write in Slope-Intercept Form	9x-2y<0	$9 x - 2 y < 0$
4643	Simplify	(12+8k^3+3k-4k^2)+(5k^3+15-k+2k^2)	$(12 + 8 k^{3} + 3 k - 4 k^{2}) + (5 k^{3} + 15 - k + 2 k^{2})$
4644	Graph	y=5/3x y=2x-1	$y = \frac{5}{3} x$ $y = 2 x - 1$
4645	Solve by Factoring	1/4y^2+y=0	$\frac{1}{4} y^{2} + y = 0$
4646	Graph	y=x+3 y=2/5x	$y = x + 3$ $y = \frac{2}{5} x$
4647	Simplify	(-48y-16)/(6y+2)	$\frac{- 48 y - 16}{6 y + 2}$
4648	Graph	4x-4y=20 y=-5	$4 x - 4 y = 20$ $y = - 5$
4649	Divide Using Long Polynomial Division	(x^3+3x^2-4x-6)÷(x^2-4)	$(x^{3} + 3 x^{2} - 4 x - 6) \div (x^{2} - 4)$
4650	Graph	(1,2) and (3,4)	$(1, 2)$ and $(3, 4)$
4651	Solve by Graphing	y=-1/3x+2 y=-2/3x+4	$y = - \frac{1}{3} x + 2$ $y = - \frac{2}{3} x + 4$
4652	Solve for x	-1/4x=5/2	$- \frac{1}{4} x = \frac{5}{2}$
4653	Graph	x/2+y/3>1	$\frac{x}{2} + \frac{y}{3} > 1$
4654	Evaluate the Limit	limit as x approaches -1 of (x^2-3x-4)/(x^2+2x-3)	$lim_{x \to - 1} \frac{x^{2} - 3 x - 4}{x^{2} + 2 x - 3}$
4655	Find the Cube Roots of a Complex Number	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
4656	Evaluate	e^(ipi)+1	$e^{i π} + 1$
4657	Simplify	3/5y+(-6/5y)	$\frac{3}{5} y + (- \frac{6}{5} y)$
4658	Solve by Substitution	1/2x+y=-4 y=2x+16	$\frac{1}{2} x + y = - 4$ $y = 2 x + 16$
4659	Simplify the Radical Expression	-6 square root of 150r	$- 6 \sqrt{150 r}$
4660	Solve for m	L=5mn^2	$L = 5 m n^{2}$
4661	Find the Maximum/Minimum Value	-2cos(5/4x)	$- 2 \cos (\frac{5}{4} x)$
4662	Simplify	y square root of x^3y-7 square root of x^3y^3+2x square root of xy^3	$y \sqrt{x^{3} y} - 7 \sqrt{x^{3} y^{3}} + 2 x \sqrt{x y^{3}}$
4663	Find the Percentage Rate of Change	s(t)=0.65(0.48)^t	$s (t) = 0.65 {(0.48)}^{t}$
4664	Graph	f(x)=2^(-x+3)+7	$f (x) = 2^{- x + 3} + 7$
4665	Solve for x	(1/25)^(33x+105)=5^(3x^2-15x)	${(\frac{1}{25})}^{33 x + 105} = 5^{3 x^{2} - 15 x}$
4666	Find the Antiderivative	e^x+1	$e^{x} + 1$
4667	Find the Quadratic Equation Given the Roots	0 , -3 , square root of 2	$0$ , $- 3$ , $\sqrt{2}$
4668	Solve for r	12=pir^2h	$12 = π r^{2} h$
4669	Solve for x	2 1/4=1 2/7÷x	$2 \frac{1}{4} = 1 \frac{2}{7} \div x$
4670	Solve for f	7.4f=10f-7.8	$7.4 f = 10 f - 7.8$
4671	Solve for x	2 3/4x=33/2	$2 \frac{3}{4} x = \frac{33}{2}$
4672	Convert to Rectangular	(1+ square root of 3i)^4	${(1 + \sqrt{3 i})}^{4}$
4673	Simplify	6x^5(2x^6+4x^5-7x^3+3x)	$6 x^{5} (2 x^{6} + 4 x^{5} - 7 x^{3} + 3 x)$
4674	Simplify	3 fourth root of 18a^9* fourth root of 6ab^2	$3 \sqrt[4]{18 a^{9}} \cdot \sqrt[4]{6 a b^{2}}$
4675	Solve for x	cos(2x)=sin(x)+1	$\cos (2 x) = \sin (x) + 1$
4676	Solve the Inequality for x	x-5>2x+3	$x - 5 > 2 x + 3$
4677	Find the Domain and Range	y=(3x-2)/x	$y = \frac{3 x - 2}{x}$
4678	Solve the Inequality for y	8y-3(y-2)>2y+4(2y+4)	$8 y - 3 (y - 2) > 2 y + 4 (2 y + 4)$
4679	Simplify	((-2d^11f^5)/(4d^-2f^2))^2	${(\frac{- 2 d^{11} f^{5}}{4 d^{- 2} f^{2}})}^{2}$
4680	Solve for x	5-7^(x+1)=3	$5 - 7^{x + 1} = 3$
4681	Simplify	square root of 72*0.2	$\sqrt{72} \cdot 0.2$
4682	Simplify	((6bc^3)(3b^5c^2))/((5b^5c^2)(2b^3c^6))	$\frac{(6 b c^{3}) (3 b^{5} c^{2})}{(5 b^{5} c^{2}) (2 b^{3} c^{6})}$
4683	Solve for m	5m-4=m+4+m+4	$5 m - 4 = m + 4 + m + 4$
4684	Solve for w	9(w-9)-2=-7+7(w-8)	$9 (w - 9) - 2 = - 7 + 7 (w - 8)$
4685	Solve for x	1/x+5=1/(2x)	$\frac{1}{x} + 5 = \frac{1}{2 x}$
4686	Simplify	cube root of 3^2* cube root of 3	$\sqrt[3]{3^{2}} \cdot \sqrt[3]{3}$
4687	Simplify	((8x^2y^3)/(24x^3y^2))^4	${(\frac{8 x^{2} y^{3}}{24 x^{3} y^{2}})}^{4}$
4688	Simplify	cube root of fourth root of 16	$\sqrt[3]{\sqrt[4]{16}}$
4689	Write the Fraction in Simplest Form	(5j^4)/((2j^4)^4)	$\frac{5 j^{4}}{{(2 j^{4})}^{4}}$
4690	Simplify	7^-27^57^-3	$7^{- 2} \cdot 7^{5} \cdot 7^{- 3}$
4691	Multiply	square root of 6* fourth root of 6	$\sqrt{6} \cdot \sqrt[4]{6}$
4692	Simplify	( fifth root of 28x^2)^3	${(\sqrt[5]{28 x^{2}})}^{3}$
4693	Simplify	((x+y)/(x-y))÷(4/(y-x))	$\frac{x + y}{x - y} \div \frac{4}{y - x}$
4694	Solve for d	d(d+3)-d(d-4)=9d-16	$d (d + 3) - d (d - 4) = 9 d - 16$
4695	Graph	y<-4+x	$y < - 4 + x$
4696	Solve for j	8(3j+8)+7=-10+1+8j	$8 (3 j + 8) + 7 = - 10 + 1 + 8 j$
4697	Simplify	(10x^2-50x-140)/(2x^3-26x^2+84x)	$\frac{10 x^{2} - 50 x - 140}{2 x^{3} - 26 x^{2} + 84 x}$
4698	Find the Product	(6xy-9z)(6xy+9z)	$(6 x y - 9 z) (6 x y + 9 z)$
4699	Graph	y<-1/2x+4y	$y < - \frac{1}{2} x + 4 y$
4700	Find the Domain	f(x)=4/(4- square root of 25-x^2)	$f (x) = \frac{4}{4 - \sqrt{25 - x^{2}}}$