Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
14101	Find the Derivative - d/dx	6-\|6-4x\|	$6 - \| 6 - 4 x \|$
14102	Find the Roots (Zeros)	x^5-7x^4-5x^3+18x^2-1	$x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 1$
14103	Find the GCF	72a^5b^3c-32a^3b^2c^2	$72 a^{5} b^{3} c - 32 a^{3} b^{2} c^{2}$
14104	Solve for d	-5=6d-7d+4	$- 5 = 6 d - 7 d + 4$
14105	Find the Maximum/Minimum Value	y=-3 square root of x+1+4	$y = - 3 \sqrt{x + 1} + 4$
14106	Find the Product	(3x-4)(5-2x)(4x+1)	$(3 x - 4) (5 - 2 x) (4 x + 1)$
14107	Simplify	(2-x)/(1/x)	$\frac{2 - x}{\frac{1}{x}}$
14108	Solve for x	-3+x-4=2+3x+5-2x	$- 3 + x - 4 = 2 + 3 x + 5 - 2 x$
14109	Solve for x	cos(x)+2=3cos(x)	$\cos (x) + 2 = 3 \cos (x)$
14110	Solve for y	3x+7y=x	$3 x + 7 y = x$
14111	Simplify	(x+y)^-1(x+y)	${(x + y)}^{- 1} (x + y)$
14112	Divide	((x^2+10x+25)/(x-5))÷((x^2-25)/(5x+10))	$\frac{x^{2} + 10 x + 25}{x - 5} \div \frac{x^{2} - 25}{5 x + 10}$
14113	Solve for w	19-2(3w-5)=15	$19 - 2 (3 w - 5) = 15$
14114	Graph	f(x,y) = square root of 2x-y	$f (x, y) = \sqrt{2 x - y}$
14115	Find the Maximum/Minimum Value	y=xe^x	$y = x e^{x}$
14116	Evaluate	log base 5 of 2x+1 = log base 5 of 4x-7	$\log_{5} (2 x) + 1 = \log_{5} (4 x) - 7$
14117	Multiply	square root of 6a*2 square root of 2ab	$\sqrt{6 a} \cdot 2 \sqrt{2 a b}$
14118	Evaluate	K(t)=10t-19	$K (t) = 10 t - 19$
14119	Solve for x	5/(2x+6)=(x+1)/(x+3)	$\frac{5}{2 x + 6} = \frac{x + 1}{x + 3}$
14120	Simplify	4/(4^(1/2))	$\frac{4}{4^{\frac{1}{2}}}$
14121	Evaluate	((4r^2)/(3s^5))^3	${(\frac{4 r^{2}}{3 s^{5}})}^{3}$
14122	Find the Roots (Zeros)	y=(x+4)^2(x+1)	$y = {(x + 4)}^{2} (x + 1)$
14123	Find f(h(x))	f(x)=x^3-x^2+10 g(x)=3x^2+2x-10 h(x)=2x^3+2x^2-3x	$f (x) = x^{3} - x^{2} + 10$ $g (x) = 3 x^{2} + 2 x - 10$ $h (x) = 2 x^{3} + 2 x^{2} - 3 x$
14124	Solve for x	-3(5x-6)(x^2+49)=0	$- 3 (5 x - 6) (x^{2} + 49) = 0$
14125	Solve for x	((2x+1.5)^3+61)^(1/3)-4=1	${({(2 x + 1.5)}^{3} + 61)}^{\frac{1}{3}} - 4 = 1$
14126	Solve for x	9^(2x+4)*9^(2x)=1/81	$9^{2 x + 4} \cdot 9^{2 x} = \frac{1}{81}$
14127	Solve the Inequality for x	(\|2x+1\|)/3>=5	$\frac{\| 2 x + 1 \|}{3} \geq 5$
14128	Simplify	(2x^5+x^4-4x^2)-(x^5-3)	$(2 x^{5} + x^{4} - 4 x^{2}) - (x^{5} - 3)$
14129	Simplify	square root of 4x^3* fourth root of 256x^2	$\sqrt{4 x^{3}} \cdot \sqrt[4]{256 x^{2}}$
14130	Solve the Inequality for x	5/(x+3)<5	$\frac{5}{x + 3} < 5$
14131	Evaluate	15% of 200	$15 %$ of $200$
14132	Add	5m+2n , n-3m ; and 7-3n	$5 m + 2 n$ , $n - 3 m$ ; and $7 - 3 n$
14133	Solve for x	cube root of 486-27x^3=3x	$\sqrt[3]{486 - 27 x^{3}} = 3 x$
14134	Solve for x	(3x-2)(x+4)-3(x+5)(x-1)=0	$(3 x - 2) (x + 4) - 3 (x + 5) (x - 1) = 0$
14135	Solve for x	x^3+x^2-22x-40=(x+2)(x+4)(x-5)	$x^{3} + x^{2} - 22 x - 40 = (x + 2) (x + 4) (x - 5)$
14136	Evaluate the Limit	limit as x approaches infinity of square root of (25x^2)/(4+36x^2)	$lim_{x \to \infty} \sqrt{\frac{25 x^{2}}{4 + 36 x^{2}}}$
14137	Evaluate the Integral	integral of (5e^(2x)+1/x) with respect to x	$\int (5 e^{2 x} + \frac{1}{x}) d x$
14138	Simplify	(17-2x)/x+(10-x)/x	$\frac{17 - 2 x}{x} + \frac{10 - x}{x}$
14139	Find the Product	4n(5n^2-7n-3)	$4 n (5 n^{2} - 7 n - 3)$
14140	Solve for x	1/4x+18=x	$\frac{1}{4} x + 18 = x$
14141	Solve for x	Solve ( square root of 7)^(6x)=49^(x-6)	Solve ${(\sqrt{7})}^{6 x} = 49^{x - 6}$
14142	Simplify the Radical Expression	fourth root of (x^2)/(x^(2/3))	$\sqrt[4]{\frac{x^{2}}{x^{\frac{2}{3}}}}$
14143	Find the Inverse	f(x)=(7-5x)/(5x+2)	$f (x) = \frac{7 - 5 x}{5 x + 2}$
14144	Simplify the Radical Expression	square root of 3^2	$\sqrt{3^{2}}$
14145	Solve for x	square root of x^12=x^6	$\sqrt{x^{12}} = x^{6}$
14146	Solve the Rational Equation for y	square root of 5y+1 = square root of 3y+1	$\sqrt{5 y + 1} = \sqrt{3 y + 1}$
14147	Divide Using Long Polynomial Division	(2x^3+x^2-24x+27)/(2x-3)	$\frac{2 x^{3} + x^{2} - 24 x + 27}{2 x - 3}$
14148	Simplify	10(x-2)-5(x^2-7x)+x(3x+6)	$10 (x - 2) - 5 (x^{2} - 7 x) + x (3 x + 6)$
14149	Simplify	x*x1/2	$x \cdot x \frac{1}{2}$
14150	Solve for x	32^(x+6)*1/2=8^(x-1)	$32^{x + 6} \cdot \frac{1}{2} = 8^{x - 1}$
14151	Multiply	cube root of 4x^2* cube root of 8x^7	$\sqrt[3]{4 x^{2}} \cdot \sqrt[3]{8 x^{7}}$
14152	Find the Antiderivative	e^(2x)dx	$e^{2 x} d x$
14153	Evaluate	1/3 square root of 0.81-1	$\frac{1}{3} \sqrt{0.81} - 1$
14154	Simplify	(4x+5)(x-1)(x+4)(x-1)	$(4 x + 5) (x - 1) (x + 4) (x - 1)$
14155	Solve for θ	2cos(theta)*sin(theta)=-sin(theta)	$2 \cos (θ) \cdot \sin (θ) = - \sin (θ)$
14156	Simplify	x^2y cube root of 125x^6y^3	$x^{2} y \sqrt[3]{125 x^{6} y^{3}}$
14157	Graph	m=-2 and (2,4)	$m = - 2$ and $(2, 4)$
14158	Divide	(x^5-10x^2-8)÷(x-2)	$(x^{5} - 10 x^{2} - 8) \div (x - 2)$
14159	Simplify	2x^2-y^1+3x^0	$2 x^{2} - y^{1} + 3 x^{0}$
14160	Evaluate the Integral	integral of (9-7x^(3/2))/(-7x^(2/3)) with respect to x	$\int \frac{9 - 7 x^{\frac{3}{2}}}{- 7 x^{\frac{2}{3}}} d x$
14161	Find the Slope and y-intercept	y=x+1/2	$y = x + \frac{1}{2}$
14162	Solve the Function Operation	If f(x)=2x and g(x)=2x^2-1 find g(f(-1))	If $f (x) = 2 x$ and $g (x) = 2 x^{2} - 1$ find $g (f (- 1))$
14163	Simplify	3^0*10^-4	$3^{0} \cdot 10^{- 4}$
14164	Find the Asymptotes	tan(pi/2x)	$\tan (\frac{π}{2} x)$
14165	Find the Skew	1 , 4 , 14	$1$ , $4$ , $14$
14166	Simplify	1÷(( square root of 2)/2)	$1 \div \frac{\sqrt{2}}{2}$
14167	Rationalize the Denominator	square root of 5/4	$\sqrt{\frac{5}{4}}$
14168	Graph	x+y=3 8x+y=-4	$x + y = 3$ $8 x + y = - 4$
14169	Find the Domain	1/(\|x\|+3)	$\frac{1}{\| x \| + 3}$
14170	Simplify	(x^2(x-8))/(x(x-8))	$\frac{x^{2} (x - 8)}{x (x - 8)}$
14171	Simplify	5^-8*5^4	$5^{- 8} \times 5^{4}$
14172	Simplify	(-4x^-3y^-5)^2	${(- 4 x^{- 3} y^{- 5})}^{2}$
14173	Divide	((x^2-5x-36)/(x+2))÷(x^2-18x+81)	$\frac{x^{2} - 5 x - 36}{x + 2} \div (x^{2} - 18 x + 81)$
14174	Find the Exact Value	i^-2	$i^{- 2}$
14175	Solve for L	6=2pi square root of (L+4)/9.8	$6 = 2 π \sqrt{\frac{L + 4}{9.8}}$
14176	Solve for c	4x^2+cy^2+2x-2y-18=0	$4 x^{2} + c y^{2} + 2 x - 2 y - 18 = 0$
14177	Determine if a Polynomial	m^4 square root of n	$m^{4} \sqrt{n}$
14178	Convert to Radical Form	(x^2+4)^(-5/4)	${(x^{2} + 4)}^{- \frac{5}{4}}$
14179	Simplify	-3+6i-4i(-5-2i)+8i^3	$- 3 + 6 i - 4 i (- 5 - 2 i) + 8 i^{3}$
14180	Simplify	(2x-3)+(2x-5x^2+13)-(x^2-1)	$(2 x - 3) + (2 x - 5 x^{2} + 13) - (x^{2} - 1)$
14181	Multiply	square root of 4* square root of 4	$\sqrt{4} \cdot \sqrt{4}$
14182	Solve for x	2(1-5/2x)+5x=2	$2 (1 - \frac{5}{2} x) + 5 x = 2$
14183	Find the Product	-2x^2(x^2+3x+4)	$- 2 x^{2} (x^{2} + 3 x + 4)$
14184	Find the Skew	10 , 74 , 78 , 102	$10$ , $74$ , $78$ , $102$
14185	Graph	x+2y=6 x-y=3	$x + 2 y = 6$ $x - y = 3$
14186	Solve the Function Operation	f(x)=(x+3)^2-3 if x<-3; -1 if x=-3; -x-7 if x>-3 Find f(-4)	$f (x) = {\begin{cases} {(x + 3)}^{2} - 3 & x < - 3 \\ - 1 & x = - 3 \\ - x - 7 & x > - 3 \end{cases}$ Find $f (- 4)$
14187	Find the Antiderivative	1/((2x+1)^3)	$\frac{1}{{(2 x + 1)}^{3}}$
14188	Find the Degree, Leading Term, and Leading Coefficient	x^2-10x^3-1/7	$x^{2} - 10 x^{3} - \frac{1}{7}$
14189	Find All Complex Solutions	tan(x)^2=sec(x)-1	$\tan^{2} (x) = \sec (x) - 1$
14190	Evaluate	(8-y)/(3y)+(y+2)/(9y)-2/(6y)	$\frac{8 - y}{3 y} + \frac{y + 2}{9 y} - \frac{2}{6 y}$
14191	Find the Derivative - d/dx	cos(x)^2-cos(x)	$\cos^{2} (x) - \cos (x)$
14192	Solve the Inequality for x	3x-4>4-(x+6)	$3 x - 4 > 4 - (x + 6)$
14193	Simplify	6xy-2x^2-(3xy+4x^2+1)-(-xy-2x^2-1)	$6 x y - 2 x^{2} - (3 x y + 4 x^{2} + 1) - (- x y - 2 x^{2} - 1)$
14194	Find the Slope	(-8,-2) and (-4,6)	$(- 8, - 2)$ and $(- 4, 6)$
14195	Multiply	3 square root of 3(4-3 square root of 5)	$3 \sqrt{3} (4 - 3 \sqrt{5})$
14196	Simplify	3/(x^2-4)-(x+5)/(x+2)	$\frac{3}{x^{2} - 4} - \frac{x + 5}{x + 2}$
14197	Graph	f(x)=x/(\|x\|)+(x-1)/(\|x-1\|)	$f (x) = \frac{x}{\| x \|} + \frac{x - 1}{\| x - 1 \|}$
14198	Simplify	3x^2(2xy-3xy^2)	$3 x^{2} (2 x y - 3 x y^{2})$
14199	Add	x+x+x	$x + x + x$
14200	Evaluate	square root of 1^2+2^2+3^2	$\sqrt{1^{2} + 2^{2} + 3^{2}}$