Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
235201	Multiply	2 square root of 3* square root of 6	$2 \sqrt{3} \cdot \sqrt{6}$
235202	Find g(h(x))	g(x)=-8x h(x)=2x+3	$g (x) = - 8 x$ $h (x) = 2 x + 3$
235203	Factor by Grouping	6x-15xy+40y-16	$6 x - 15 x y + 40 y - 16$
235204	Solve for x	16x^4+31x^2=2	$16 x^{4} + 31 x^{2} = 2$
235205	Simplify	(40v^2)/(35v^4)+(20v^3)/(5v)	$\frac{40 v^{2}}{35 v^{4}} + \frac{20 v^{3}}{5 v}$
235206	Write in Slope-Intercept Form	y+2=x	$y + 2 = x$
235207	Graph	y=x/1	$y = \frac{x}{1}$
235208	Multiply	(x-g)(x+g)(x^2-g^2)	$(x - g) (x + g) (x^{2} - g^{2})$
235209	Evaluate	1/3(2a^3b)(6b^3)	$\frac{1}{3} (2 a^{3} b) (6 b^{3})$
235210	Solve for θ	-sin(2theta)-cos(4theta)=0	$- \sin (2 θ) - \cos (4 θ) = 0$
235211	Subtract	(-4x+3)/3-(-x+2)/3	$\frac{- 4 x + 3}{3} - \frac{- x + 2}{3}$
235212	Find the Holes in the Graph	(2x^2-18)/(x^2-3x)	$\frac{2 x^{2} - 18}{x^{2} - 3 x}$
235213	Evaluate	square root of 4-x- square root of 3-x=1	$\sqrt{4 - x} - \sqrt{3 - x} = 1$
235214	Simplify the Radical Expression	3/(2+ square root of 5)	$\frac{3}{2 + \sqrt{5}}$
235215	Evaluate	2x+3x-5x	$2 x + 3 x - 5 x$
235216	Solve for x	x^2-9x+18=0 for x	$x^{2} - 9 x + 18 = 0$ for $x$
235217	Find the Roots (Zeros)	(x^2+10x-11)/(x-11)	$\frac{x^{2} + 10 x - 11}{x - 11}$
235218	Solve for a	a^2-1=0	$a^{2} - 1 = 0$
235219	Simplify	2+2+7y^3-6y^3+1-3y^3+y	$2 + 2 + 7 y^{3} - 6 y^{3} + 1 - 3 y^{3} + y$
235220	Evaluate	1/2 log base 5 of 15- log base 5 of square root of 75	$\frac{1}{2} \log_{5} (15) - \log_{5} (\sqrt{75})$
235221	Solve for x	natural log of 9/8=2 natural log of 3- natural log of x	$\ln (\frac{9}{8}) = 2 \ln (3) - \ln (x)$
235222	Subtract	square root of 12-5 square root of 8-7 square root of 20	$\sqrt{12} - 5 \sqrt{8} - 7 \sqrt{20}$
235223	Solve the Rational Equation for x	(5x)/(x-2)=7+10/(x-2)	$\frac{5 x}{x - 2} = 7 + \frac{10}{x - 2}$
235224	Solve for x	1/5(10x-20)=1/2(8x-4)	$\frac{1}{5} (10 x - 20) = \frac{1}{2} (8 x - 4)$
235225	Simplify	(x^-3y^2)(y^3)^-2	$(x^{- 3} y^{2}) {(y^{3})}^{- 2}$
235226	Simplify	(-9x^2y^2+5x^2y-11xy+1)+(5x^2y^2-15xy-11)	$(- 9 x^{2} y^{2} + 5 x^{2} y - 11 x y + 1) + (5 x^{2} y^{2} - 15 x y - 11)$
235227	Describe the Transformation	y=- square root of x+3	$y = - \sqrt{x + 3}$
235228	Simplify	((x+1)/(x^2+x-6))÷((x^2+5x+4)/(x+3))	$\frac{x + 1}{x^{2} + x - 6} \div \frac{x^{2} + 5 x + 4}{x + 3}$
235229	Graph	x^2(x-2)^2(x-1)^2	$x^{2} {(x - 2)}^{2} {(x - 1)}^{2}$
235230	Divide Using Long Polynomial Division	12x^3+3x^2-11x+6 divided by 4x+5	$12 x^{3} + 3 x^{2} - 11 x + 6$ divided by $4 x + 5$
235231	Evaluate	tan(-480 degrees )	$\tan (- 480 °)$
235232	Graph	x^2+y^2>36 y<-\|x\|+6	$x^{2} + y^{2} > 36$ $y < - \| x \| + 6$
235233	Find the Exact Value	arcsec((-1)^-1)	$arcsec ({(- 1)}^{- 1})$
235234	Simplify	(x^2+4x-45)/(-x-4)(x+5)/(x^2+14x+45)-9/(x^2-5x)	$\frac{x^{2} + 4 x - 45}{- x - 4} \cdot \frac{x + 5}{x^{2} + 14 x + 45} \cdot \frac{- 9}{x^{2} - 5 x}$
235235	Simplify	1/((10x)^-3)	$\frac{1}{{(10 x)}^{- 3}}$
235236	Simplify	7y^2-4x+7x+2-2x-3-7y^2	$7 y^{2} - 4 x + 7 x + 2 - 2 x - 3 - 7 y^{2}$
235237	Solve the Rational Equation for x	x-6 = square root of x	$x - 6 = \sqrt{x}$
235238	Solve for x	-3/2-(1/5x-1)=1/2	$- \frac{3}{2} - (\frac{1}{5} x - 1) = \frac{1}{2}$
235239	Solve the Inequality for d	2d-5<-3	$2 d - 5 < - 3$
235240	Solve for x	8x^-3=64	$8 x^{- 3} = 64$
235241	Write the Fraction in Simplest Form	(4(v^-1s^-1)^-1)/(2v^10s^-1)	$\frac{4 {(v^{- 1} s^{- 1})}^{- 1}}{2 v^{10} s^{- 1}}$
235242	Solve Using the Quadratic Formula	x*2+5x-24=0	$x \cdot 2 + 5 x - 24 = 0$
235243	Solve the System of Equations	y=-2x^2+3x+82 16=3x-y	$y = - 2 x^{2} + 3 x + 82$ $16 = 3 x - y$
235244	Determine if Linear	y+x=4x+5	$y + x = 4 x + 5$
235245	Simplify	(x^3y^4)^3*(xy^3)^-2	${(x^{3} y^{4})}^{3} \cdot {(x y^{3})}^{- 2}$
235246	Solve for y	(6+y)h=C	$(6 + y) h = C$
235247	Evaluate	(x^-6)/(x^3y^8y^2)	$\frac{x^{- 6}}{x^{3} y^{8} y^{2}}$
235248	Simplify	(x+2)/(x^2+4x+3)-(x+1)/(x+3)	$\frac{x + 2}{x^{2} + 4 x + 3} - \frac{x + 1}{x + 3}$
235249	Evaluate	square root of x^2 = square root of 36	$\sqrt{x^{2}} = \sqrt{36}$
235250	Combine Like Terms	64 square root of 3-4 square root of 48-5 square root of 48	$64 \sqrt{3} - 4 \sqrt{48} - 5 \sqrt{48}$
235251	Write in Standard Form	(3/4+7/5i)-(5/6-1/6i)	$(\frac{3}{4} + \frac{7}{5} i) - (\frac{5}{6} - \frac{1}{6} i)$
235252	Find the Exact Value	( square root of 2)/4-( square root of 6)/4	$\frac{\sqrt{2}}{4} - \frac{\sqrt{6}}{4}$
235253	Divide Using Long Polynomial Division	(5x^4+9)/x	$\frac{5 x^{4} + 9}{x}$
235254	Simplify	(27y2/5)^(1/3)	${(27 y \frac{2}{5})}^{\frac{1}{3}}$
235255	Solve for c	c=2pi*9	$c = 2 π \cdot 9$
235256	Solve for θ	theta=(-5pi)/6	$θ = \frac{- 5 π}{6}$
235257	Graph	x+3y=9 y=4/3x-2	$x + 3 y = 9$ $y = \frac{4}{3} x - 2$
235258	Simplify	((9-x^2)/(3x))÷((x^2+6x+9)/(3x))	$\frac{9 - x^{2}}{3 x} \div \frac{x^{2} + 6 x + 9}{3 x}$
235259	Solve for y	30<5(8-y)	$30 < 5 (8 - y)$
235260	Solve the Rational Equation for x	4^x+2^(x+1)=8	$4^{x} + 2^{x + 1} = 8$
235261	Solve for x	3+ cube root of 5x-6=4	$3 + \sqrt[3]{5 x - 6} = 4$
235262	Solve for y	(3-5y)/4=(2-4y)/3	$\frac{3 - 5 y}{4} = \frac{2 - 4 y}{3}$
235263	Solve the Inequality for n	-6n>54	$- 6 n > 54$
235264	Find the Excluded Values	2/x=1/(8x)+3	$\frac{2}{x} = \frac{1}{8 x} + 3$
235265	Simplify	((a^2b^-3)/(c^4))^(-1/2)	${(\frac{a^{2} b^{- 3}}{c^{4}})}^{- \frac{1}{2}}$
235266	Factor by Grouping	8x^6y^12+27	$8 x^{6} y^{12} + 27$
235267	Find the Exact Value	8*8+7^2	$8 \cdot 8 + 7^{2}$
235268	Simplify	( cube root of 20b^7)( cube root of 162b^3)	$(\sqrt[3]{20 b^{7}}) (\sqrt[3]{162 b^{3}})$
235269	Simplify	(tan(x)^2+1)/(cot(x)^2-csc(x)^2)	$\frac{\tan^{2} (x) + 1}{\cot^{2} (x) - \csc^{2} (x)}$
235270	Evaluate	(tan(x))/(sec(x))	$\frac{\tan (x)}{\sec (x)}$
235271	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-2,1) and has a slope of -5/2 ?	What is the equation of the line that passes through the point $(- 2, 1)$ and has a slope of $- \frac{5}{2}$ ?
235272	Simplify	x^6y^4x^-1y^-4	$x^{6} y^{4} x^{- 1} y^{- 4}$
235273	Solve the System of Inequalities	x-y>=1 2x+y<2	$x - y \geq 1$ $2 x + y < 2$
235274	Determine if True	5 = log base 1 of 5	$5 = \log_{1} (5)$
235275	Graph	y=1/2sec(2x)	$y = \frac{1}{2} \sec (2 x)$
235276	Find the Excluded Values	1/(x-4)-5/(x+6)=10/(x^2+2x-24)	$\frac{1}{x - 4} - \frac{5}{x + 6} = \frac{10}{x^{2} + 2 x - 24}$
235277	Solve for x	cube root of 16x^2-64x=x	$\sqrt[3]{16 x^{2} - 64 x} = x$
235278	Graph	y=1/3x+2 -x+3y=6	$y = \frac{1}{3} x + 2$ $- x + 3 y = 6$
235279	Simplify the Radical Expression	i^41	$i^{41}$
235280	Simplify	2^53^56^-5	$2^{5} \cdot 3^{5} \cdot 6^{- 5}$
235281	Simplify	(x^2-5x-14)+(x-7)	$(x^{2} - 5 x - 14) + (x - 7)$
235282	Solve for x	2x^3-8x^2-24x=ax(x+b)(x+c)	$2 x^{3} - 8 x^{2} - 24 x = a x (x + b) (x + c)$
235283	Find the Holes in the Graph	y=(x-4)/(-4x-16)	$y = \frac{x - 4}{- 4 x - 16}$
235284	Determine if a Polynomial	(3x)/(x^6)+x-7	$\frac{3 x}{x^{6}} + x - 7$
235285	Solve for x	x^2<0	$x^{2} < 0$
235286	Evaluate	5*(1/2)^0	$5 \cdot {(\frac{1}{2})}^{0}$
235287	Write in y=mx+b Form	-4=-2y	$- 4 = - 2 y$
235288	Divide	(x^4-x^3+3x^2-6x-6)÷(x-2)	$(x^{4} - x^{3} + 3 x^{2} - 6 x - 6) \div (x - 2)$
235289	Find the End Behavior	f(x)=3(x+3)(x+2)(x-1)^3	$f (x) = 3 (x + 3) (x + 2) {(x - 1)}^{3}$
235290	Solve for x	a^x=a^y	$a^{x} = a^{y}$
235291	Simplify	1/( square root of 1-(( square root of 3)/2)^2)	$\frac{1}{\sqrt{1 - {(\frac{\sqrt{3}}{2})}^{2}}}$
235292	Solve for x	z=2(x-h)	$z = 2 (x - h)$
235293	Simplify the Radical Expression	3 square root of 7*7 square root of 14	$3 \sqrt{7} \cdot 7 \sqrt{14}$
235294	Evaluate	(2^2y^3)^5	${(2^{2} y^{3})}^{5}$
235295	Convert to Set Notation	4(5x+7)<=13	$4 (5 x + 7) \leq 13$
235296	Solve the System of Equations	y=-1/3x-2 x+3y=-6	$y = - \frac{1}{3} x - 2$ $x + 3 y = - 6$
235297	Solve by Substitution	y=-1/2x 2x+2y=5	$y = - \frac{1}{2} x$ $2 x + 2 y = 5$
235298	Simplify	-3f^2g^-3(2(fg))(7f^3g^-2)	$(- 3 f^{2} g^{- 3}) (2 f g) (7 f^{3} g^{- 2})$
235299	Simplify	(5r^2)/(r^2-4)*(r+2)/(10r^5)	$\frac{5 r^{2}}{r^{2} - 4} \cdot \frac{r + 2}{10 r^{5}}$
235300	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3-27x^2+26x-28 is divided by 3x-7	Use the long division method to find the result when $9 x^{3} - 27 x^{2} + 26 x - 28$ is divided by $3 x - 7$