Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
28101	Simplify	11k+2j+5h-10k-j	$11 k + 2 j + 5 h - 10 k - j$
28102	Simplify	cube root of w* square root of w^5	$\sqrt[3]{w} \cdot \sqrt{w^{5}}$
28103	Solve Using the Quadratic Formula	x-x^2=1-6x^2	$x - x^{2} = 1 - 6 x^{2}$
28104	Simplify	(1-sec(theta)^2)/(sec(theta)^2)	$\frac{1 - \sec^{2} (θ)}{\sec^{2} (θ)}$
28105	Solve for S	B=F/(S-V)	$B = \frac{F}{S - V}$
28106	Convert from Radians to Degrees	pi/1	$\frac{π}{1}$
28107	Evaluate the Limit	limit as x approaches 2 of (x^3+x^2-5x-3)^3	$lim_{x \to 2} {(x^{3} + x^{2} - 5 x - 3)}^{3}$
28108	Solve for x	3x-17+x+40+2x-5=180	$3 x - 17 + x + 40 + 2 x - 5 = 180$
28109	Find dy/dx	3x-2y^3+2x^2=0	$3 x - 2 y^{3} + 2 x^{2} = 0$
28110	Solve for x	-3/x=-6	$- \frac{3}{x} = - 6$
28111	Evaluate	17\|-4\|+6\|-3\|	$17 \| - 4 \| + 6 \| - 3 \|$
28112	Evaluate	-1 1/5+(-3/5)	$- 1 \frac{1}{5} + (- \frac{3}{5})$
28113	Solve for x	5x-4=1/5(5+20x)	$5 x - 4 = \frac{1}{5} (5 + 20 x)$
28114	Simplify	3x^3 square root of x^8y+x^2 cube root of x^5y	$3 x^{3} \sqrt{x^{8} y} + x^{2} \sqrt[3]{x^{5} y}$
28115	Find the Derivative - d/dy	-1/(y^2)	$- \frac{1}{y^{2}}$
28116	Subtract	(3x^3-4x^2)-(-7x^2-6)	$(3 x^{3} - 4 x^{2}) - (- 7 x^{2} - 6)$
28117	Graph	y<=1/7x-6 y<=9/7x+2	$y \leq \frac{1}{7} x - 6$ $y \leq \frac{9}{7} x + 2$
28118	Simplify	(1/(9x^2))÷(3/(2x))	$\frac{1}{9 x^{2}} \div \frac{3}{2 x}$
28119	Solve the Function Operation	Given that f(x)=x^2+6x-40 and g(x)=x+10 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 6 x - 40$ and $g (x) = x + 10$ ; find $f (x) + g (x)$ and express the result in standard form.
28120	Simplify	y^4z^32y^3z^23x^2y^-4z^-3	$y^{4} z^{3} \cdot 2 y^{3} z^{2} \cdot 3 x^{2} y^{- 4} z^{- 3}$
28121	Simplify	2/( square root of 9x^2)	$\frac{2}{\sqrt{9 x^{2}}}$
28122	Simplify	((y^4)/y)^-2	${(\frac{y^{4}}{y})}^{- 2}$
28123	Factor	(x^2+4x+4)-196y^2	$(x^{2} + 4 x + 4) - 196 y^{2}$
28124	Solve for n	2/5(8n-5)=-9/5n	$\frac{2}{5} (8 n - 5) = - \frac{9}{5} n$
28125	Factor	factor x^2-25	factor $x^{2} - 25$
28126	Evaluate the Limit	limit as x approaches pi/2 of (3cos(x))/(2x-pi)	$lim_{x \to \frac{π}{2}} \frac{3 \cos (x)}{2 x - π}$
28127	Find the Degree, Leading Term, and Leading Coefficient	4b^5+b^6-b^2-12	$4 b^{5} + b^{6} - b^{2} - 12$
28128	Find the Derivative of the Integral	integral from 0 to x of (1+2t+3t^2+4t^3) with respect to t	$\int_{0}^{x} (1 + 2 t + 3 t^{2} + 4 t^{3}) d t$
28129	Add	6/(x^2+4x)+3/(2x+8)	$\frac{6}{x^{2} + 4 x} + \frac{3}{2 x + 8}$
28130	Evaluate the Integral	integral from -1 to 1 of (1+ square root of 1-x^2) with respect to x	$\int_{- 1}^{1} (1 + \sqrt{1 - x^{2}}) d x$
28131	Find dy/dx	y=arcsec( square root of 3x^3)	$y = arcsec (\sqrt{3 x^{3}})$
28132	Graph	y-2x<=-3 y-4<=-2x y>-1/4x	$y - 2 x \leq - 3$ $y - 4 \leq - 2 x$ $y > - \frac{1}{4} x$
28133	Convert to a Decimal	690deg	$690$ degrees
28134	Find the Domain and Range	y=1/2sin(2x)	$y = \frac{1}{2} \sin (2 x)$
28135	Find Where Increasing/Decreasing	f(x)=x+2	$f (x) = x + 2$
28136	Solve the Inequality for c	c+6<-20	$c + 6 < - 20$
28137	Convert to Trigonometric Form	(sin(t))/(sec(t)-cos(t))	$\frac{\sin (t)}{\sec (t) - \cos (t)}$
28138	Find the Degree	5t-u^2	$5 t - u^{2}$
28139	Solve for z	2z^2+z-7=0	$2 z^{2} + z - 7 = 0$
28140	Simplify	((a^2+b)^(3/2))/(a^2+b)	$\frac{{(a^{2} + b)}^{\frac{3}{2}}}{a^{2} + b}$
28141	Factor	2cos(x)^2+cos(x)-1=0	$2 \cos^{2} (x) + \cos (x) - 1 = 0$
28142	Solve for x	(4x)/(5x)=(4x+8)/(6x-20)	$\frac{4 x}{5 x} = \frac{4 x + 8}{6 x - 20}$
28143	Evaluate	-4-2 1/2	$- 4 - 2 \frac{1}{2}$
28144	Solve the Inequality for x	-2x^2-8x+7<=-3x+4	$- 2 x^{2} - 8 x + 7 \leq - 3 x + 4$
28145	Find the Derivative - d/dx	18/( cube root of x-2)	$\frac{18}{\sqrt[3]{x - 2}}$
28146	Simplify	(4^(1/4))^2	${(4^{\frac{1}{4}})}^{2}$
28147	Simplify	e^(- natural log of cos(x))	$e^{- \ln (\cos (x))}$
28148	Find the Domain	(a^2-b^2)/(a^2-3a)*(2a-6)/((a+b)^2)	$\frac{a^{2} - b^{2}}{a^{2} - 3 a} \cdot \frac{2 a - 6}{{(a + b)}^{2}}$
28149	Find the Domain and Range	1/5 square root of x-3	$\frac{1}{5} \sqrt{x - 3}$
28150	Solve Using the Quadratic Formula	18=-2(x-1)^2	$18 = - 2 {(x - 1)}^{2}$
28151	Find the Roots (Zeros)	x^2=9x-14	$x^{2} = 9 x - 14$
28152	Divide	(3 cube root of 2)/( cube root of 3)	$\frac{3 \sqrt[3]{2}}{\sqrt[3]{3}}$
28153	Solve by Addition/Elimination	x+2y=4 -x-y=2	$x + 2 y = 4$ $- x - y = 2$
28154	Find the x and y Intercepts	f(x)=- square root of x+1+4	$f (x) = - \sqrt{x + 1} + 4$
28155	Solve for x	(2x-6)^(2/3)=x^(1/3)	${(2 x - 6)}^{\frac{2}{3}} = x^{\frac{1}{3}}$
28156	Solve for b	37=7+6b^3	$37 = 7 + 6 b^{3}$
28157	Solve the System of Equations	-2x-y=-5 and 5x+6y=-19	$- 2 x - y = - 5$ and $5 x + 6 y = - 19$
28158	Simplify	5v eighth root of 225v^2	$5 v \sqrt[8]{225 v^{2}}$
28159	Evaluate the Integral	integral from -1 to 3 of -3/32x^2+3/16x+9/32 with respect to x	$\int_{- 1}^{3} - \frac{3}{32} x^{2} + \frac{3}{16} x + \frac{9}{32} d x$
28160	Evaluate	(b^2)=b^8	$(b^{2}) = b^{8}$
28161	Solve the Inequality for x	2x^2-28x+89>-7	$2 x^{2} - 28 x + 89 > - 7$
28162	Expand Using the Binomial Theorem	(x-2/(x^2))^9	${(x - \frac{2}{x^{2}})}^{9}$
28163	Find the Asymptotes	m(x)=(x^2+16)/(2x)	$m (x) = \frac{(x^{2} + 16)}{2 x}$
28164	Write in Slope-Intercept Form	(0,1) and (5,3)	$(0, 1)$ and $(5, 3)$
28165	Solve for x	1/2x-3=3/2-3x	$\frac{1}{2} x - 3 = \frac{3}{2} - 3 x$
28166	Simplify	(x^2+9)^4(-1/3)(x+6)^(-4/3)+(x+6)^(-1/3)(4)(x^2+9)^3(2x)	${(x^{2} + 9)}^{4} (- \frac{1}{3}) {(x + 6)}^{- \frac{4}{3}} + {(x + 6)}^{- \frac{1}{3}} (4) {(x^{2} + 9)}^{3} (2 x)$
28167	Write the Fraction in Simplest Form	(5b^-10v^-10)/((3bv^-1)^-4)	$\frac{5 b^{- 10} v^{- 10}}{{(3 b v^{- 1})}^{- 4}}$
28168	Write Using Positive Exponents	(3^-2a^0)/(b^-2)	$\frac{3^{- 2} a^{0}}{b^{- 2}}$
28169	Solve for x in Radians	sec(x)=- square root of 2	$\sec (x) = - \sqrt{2}$
28170	Solve for t	20/45+20/t=1	$\frac{20}{45} + \frac{20}{t} = 1$
28171	Expand the Logarithmic Expression	natural log of square root of (2x)/(x-2)	$\ln (\sqrt{\frac{2 x}{x - 2}})$
28172	Simplify the Radical Expression	((x^(1/2)*x^(5/12))^4)÷(x^(2/3))	${(x^{\frac{1}{2}} \cdot x^{\frac{5}{12}})}^{4} \div x^{\frac{2}{3}}$
28173	Find the LCD	2/(x-6) and 7/(x+6)	$\frac{2}{x - 6}$ and $\frac{7}{x + 6}$
28174	Find the Exact Value	-2 1/3-(-5)	$- 2 \frac{1}{3} - (- 5)$
28175	Find the Exact Value	cos(240)^2	$\cos^{2} (240)$
28176	Expand the Logarithmic Expression	natural log of square root of (9x)/(x-9)	$\ln (\sqrt{\frac{9 x}{x - 9}})$
28177	Simplify	4x^3y^3(3x^3-7xy^2+2xy-y)	$4 x^{3} y^{3} (3 x^{3} - 7 x y^{2} + 2 x y - y)$
28178	Multiply	9m^2n*-3mn^2	$9 m^{2} n \cdot - 3 m n^{2}$
28179	Find the Domain and Range	g(x)=-(x^2)/4+7	$g (x) = - \frac{x^{2}}{4} + 7$
28180	Simplify the Radical Expression	fourth root of 3^3* square root of 3^5	$\sqrt[4]{3^{3}} \cdot \sqrt{3^{5}}$
28181	Evaluate the Integral	integral of (6/(x^2)-5e^x+sec(x)tan(x)) with respect to x	$\int (\frac{6}{x^{2}} - 5 e^{x} + \sec (x) \tan (x)) d x$
28182	Add	2 square root of 5+5 square root of 2-4 square root of 5	$2 \sqrt{5} + 5 \sqrt{2} - 4 \sqrt{5}$
28183	Find the Domain	-(10a^2x)/(9by)	$- \frac{10 a^{2} x}{9 b y}$
28184	Find the Slope	(5,-5) and (11,7)	$(5, - 5)$ and $(11, 7)$
28185	Simplify	square root of 7( square root of 2+ square root of 3- square root of 5)	$\sqrt{7} (\sqrt{2} + \sqrt{3} - \sqrt{5})$
28186	Find the Exact Value	(-2)^4(-2)^-1	${(- 2)}^{4} {(- 2)}^{- 1}$
28187	Solve for x	32/(2x)=8	$\frac{32}{2 x} = 8$
28188	Simplify	18-(-6x)-3+8x	$18 - (- 6 x) - 3 + 8 x$
28189	Solve for x	x-3(2-3x)=2(5x+3)	$x - 3 (2 - 3 x) = 2 (5 x + 3)$
28190	Simplify	(6x^(5/4)y^(-5/4))/( fourth root of 81x^2y)	$\frac{6 x^{\frac{5}{4}} y^{- \frac{5}{4}}}{\sqrt[4]{81 x^{2} y}}$
28191	Evaluate	x+x-(-3)=12	$x + x - (- 3) = 12$
28192	Evaluate the Limit	limit as x approaches -1 of ( square root of x^2+3-2)/(x^2+1)	$lim_{x \to - 1} \frac{\sqrt{x^{2} + 3} - 2}{x^{2} + 1}$
28193	Simplify	3/( square root of 18xy^2)	$\frac{3}{\sqrt{18 x y^{2}}}$
28194	Find the x and y Intercepts	y=(10x)/((x+3)^2)	$y = \frac{10 x}{{(x + 3)}^{2}}$
28195	Solve for x	log base x of 243/32=5	$\log_{x} (\frac{243}{32}) = 5$
28196	Simplify	5/6(-2y+3)	$\frac{5}{6} (- 2 y + 3)$
28197	Find the Reference Angle	cot(240 degrees )	$\cot (240 °)$
28198	Graph	4x+y>=4 3x-2y>14	$4 x + y \geq 4$ $3 x - 2 y > 14$
28199	Evaluate the Limit	limit as x approaches 4 of (-5x^2+21x-4)/(24-6x)	$lim_{x \to 4} \frac{- 5 x^{2} + 21 x - 4}{24 - 6 x}$
28200	Solve the Inequality for x	\|3-2x\|>=1	$\| 3 - 2 x \| \geq 1$