Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
236201	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (4,-7) and has a slope of -1/2 ?	What is the equation of the line that passes through the point $(4, - 7)$ and has a slope of $- \frac{1}{2}$ ?
236202	Solve for x	((2x)^2)/((1.00-x)(2.00-x))=50.5	$\frac{{(2 x)}^{2}}{(1 - x) (2 - x)} = 50.5$
236203	Solve the Inequality for x	-2x^2+24x>-4x+96	$- 2 x^{2} + 24 x > - 4 x + 96$
236204	Find All Complex Solutions	7z^2+8z+3=3z^2	$7 z^{2} + 8 z + 3 = 3 z^{2}$
236205	Graph Using a Table of Values	f(x)=-(1/2)^(x-2)-8	$f (x) = - {(\frac{1}{2})}^{x - 2} - 8$
236206	Find the Roots (Zeros)	(-4x-3)(x-3)	$(- 4 x - 3) (x - 3)$
236207	Solve for s	\|2s+1\|+3<=2	$\| 2 s + 1 \| + 3 \leq 2$
236208	Combine Like Terms	(3x^4-3x)-(3x-3x^4)	$(3 x^{4} - 3 x) - (3 x - 3 x^{4})$
236209	Simplify	5p-3q+2-4p+5+4q	$5 p - 3 q + 2 - 4 p + 5 + 4 q$
236210	Evaluate	-3^40*(5.6÷2.1)	$- 3^{40} \cdot (5.6 \div 2.1)$
236211	Simplify the Radical Expression	square root of (x+15)^4	$\sqrt{{(x + 15)}^{4}}$
236212	Evaluate	(tan(pi/3))/2+1/(sec(pi/6))	$\frac{\tan (\frac{π}{3})}{2} + \frac{1}{\sec (\frac{π}{6})}$
236213	Evaluate	(tan(theta))/(sin(theta))=sec(theta)	$\frac{\tan (θ)}{\sin (θ)} = \sec (θ)$
236214	Evaluate	(x^-6*x^7)/(x^6)	$\frac{x^{- 6} \cdot x^{7}}{x^{6}}$
236215	Solve the Inequality for x	(x+1)/((x-4)(x+8))>=0	$\frac{x + 1}{(x - 4) (x + 8)} \geq 0$
236216	Solve the Rational Equation for x	-5/(x-5)+1=-x/(x-5)	$- \frac{5}{x - 5} + 1 = - \frac{x}{x - 5}$
236217	Simplify	(x^3+y^3)/(x^3-y^3)*(x^2-y^2)/(x^2+2xy+y^2)	$\frac{x^{3} + y^{3}}{x^{3} - y^{3}} \cdot \frac{x^{2} - y^{2}}{x^{2} + 2 x y + y^{2}}$
236218	Evaluate	x^2=6	$x^{2} = 6$
236219	Solve for x	16xe^(4x^2)=3	$16 x e^{4 x^{2}} = 3$
236220	Expand the Logarithmic Expression	log of 25+( log of 8* log of 16)/( log of 64)	$\log (25) + \frac{\log (8) \cdot \log (16)}{\log (64)}$
236221	Simplify	plus or minus square root of -64	$\pm \sqrt{- 64}$
236222	Find the Exact Value	sin(pi/6)cos(pi/6)-tan(pi/3)	$\sin (\frac{π}{6}) \cos (\frac{π}{6}) - \tan (\frac{π}{3})$
236223	Evaluate	( log of e)/( natural log of 10)	$\frac{\log (e)}{\ln (10)}$
236224	Solve the Rational Equation for x	fourth root of x-1=2	$\sqrt[4]{x - 1} = 2$
236225	Simplify	(7x^-1)/(y^-1)	$\frac{7 x^{- 1}}{y^{- 1}}$
236226	Find the Roots (Zeros)	2/3x^3+x^2-5x=-9	$\frac{2}{3} x^{3} + x^{2} - 5 x = - 9$
236227	Find the Roots (Zeros)	-4x^2-40x-280=0	$- 4 x^{2} - 40 x - 280 = 0$
236228	Write in Standard Form	4(x^2-2x)-2(x^2-3)	$4 (x^{2} - 2 x) - 2 (x^{2} - 3)$
236229	Rationalize the Denominator	(x+2 square root of y)/(x-2 square root of y)	$\frac{x + 2 \sqrt{y}}{x - 2 \sqrt{y}}$
236230	Solve for w	square root of w=-8	$\sqrt{w} = - 8$
236231	Factor	x(y-3)+n(3-y)	$x (y - 3) + n (3 - y)$
236232	Find the Foci	5x^2-4y^2+80=0	$5 x^{2} - 4 y^{2} + 80 = 0$
236233	Evaluate	arctan(1)-arctan(-1)	$\arctan (1) - \arctan (- 1)$
236234	Graph	-x>=y-3	$- x \geq y - 3$
236235	Simplify the Radical Expression	cube root of 25* cube root of 5	$\sqrt[3]{25} \cdot \sqrt[3]{5}$
236236	Simplify	(x-10)/(x-4)-(x+2)/(4-x)	$\frac{x - 10}{x - 4} - \frac{x + 2}{4 - x}$
236237	Evaluate	(5x^2y^5z^7)^0	${(5 x^{2} y^{5} z^{7})}^{0}$
236238	Find the Exact Value	cot(-945)	$\cot (- 945)$
236239	Solve the Absolute Value Inequality for m	(\|m\|)/5=3	$\frac{\| m \|}{5} = 3$
236240	Simplify	(36x^3y)/(9x)	$\frac{36 x^{3} y}{9 x}$
236241	Graph	y=-4sin(x+3pi)	$y = - 4 \sin (x + 3 π)$
236242	Solve for x	y=(x-2)/(3x-1)	$y = \frac{x - 2}{3 x - 1}$
236243	Simplify the Radical Expression	2 square root of st^2+3 square root of s^2+5 square root of s^3t^4	$2 \sqrt{s t^{2}} + 3 \sqrt{s^{2}} + 5 \sqrt{s^{3} t^{4}}$
236244	Solve by Substitution	x-2y=2 and y=-2x+5	$x - 2 y = 2$ and $y = - 2 x + 5$
236245	Simplify	(4/(x^2-9)+2/(x-3))/(1/(x+3)+1/(x-3))	$\frac{\frac{4}{x^{2} - 9} + \frac{2}{x - 3}}{\frac{1}{x + 3} + \frac{1}{x - 3}}$
236246	Evaluate	square root of -16/(-1-3)	$\sqrt{\frac{- 16}{- 1 - 3}}$
236247	Simplify	(6m^0-2n^0)/(2m^0-6n^0)	$\frac{6 m^{0} - 2 n^{0}}{2 m^{0} - 6 n^{0}}$
236248	Describe the Transformation	y = cube root of 3(x-4)	$y = \sqrt[3]{3 (x - 4)}$
236249	Solve by Factoring	(5x+4)(x+1)=2	$(5 x + 4) (x + 1) = 2$
236250	Divide Using Synthetic Division	(5x^4-23x^3+24x^2-7)÷(x-3)	$(5 x^{4} - 23 x^{3} + 24 x^{2} - 7) \div (x - 3)$
236251	Solve Using the Quadratic Formula	1/2w^2-1/4=3/16w	$\frac{1}{2} w^{2} - \frac{1}{4} = \frac{3}{16} w$
236252	Write in Standard Form	(2w+5)(3w-4)=6	$(2 w + 5) (3 w - 4) = 6$
236253	Solve for h	5/6h+8=-2	$\frac{5}{6} h + 8 = - 2$
236254	Simplify	((2f^2g^3)/(3(fg)))^4	${(\frac{2 f^{2} g^{3}}{3 f g})}^{4}$
236255	Find the Excluded Values	1/(x+1)+5=11/(x+1)	$\frac{1}{x + 1} + 5 = \frac{11}{x + 1}$
236256	Determine if True	tan(x)sin(x)+cos(x)=sec(x)	$\tan (x) \sin (x) + \cos (x) = \sec (x)$
236257	Simplify	(x^2-xy)/y*(y^2)/x	$\frac{x^{2} - x y}{y} \cdot \frac{y^{2}}{x}$
236258	Solve the Inequality for x	2\|x+2\|+3>=11	$2 \| x + 2 \| + 3 \geq 11$
236259	Graph	x>-3y+9	$x > - 3 y + 9$
236260	Multiply	((x-1)^2)/(x^2-x-12)*(x^2+x-6)/(x^2-6x+5)	$\frac{{(x - 1)}^{2}}{x^{2} - x - 12} \cdot \frac{x^{2} + x - 6}{x^{2} - 6 x + 5}$
236261	Multiply	5 square root of 3* square root of 2	$5 \sqrt{3} \cdot \sqrt{2}$
236262	Find the GCF	8x^4y^4-12x^3z^2	$8 x^{4} y^{4} - 12 x^{3} z^{2}$
236263	Evaluate	(-i)^3	${(- i)}^{3}$
236264	Solve the System of Equations	-8x+7y-8z=-9 -8x+7y-10z=-7 x-2y+z=9	$- 8 x + 7 y - 8 z = - 9$ $- 8 x + 7 y - 10 z = - 7$ $x - 2 y + z = 9$
236265	Find the Exact Value	sin(-60)cos(40)+cos(-60)sin(40)	$\sin (- 60) \cos (40) + \cos (- 60) \sin (40)$
236266	Evaluate	-5/6+1/2(-2/5)	$- \frac{5}{6} + \frac{1}{2} (- \frac{2}{5})$
236267	Simplify	4/5-2/7 square root of -98	$\frac{4}{5} - \frac{2}{7} \sqrt{- 98}$
236268	Simplify the Radical Expression	fourth root of 2* fourth root of 8	$\sqrt[4]{2} \cdot \sqrt[4]{8}$
236269	Solve the Inequality for x	(4x-2)/(x+1)>=-2	$\frac{4 x - 2}{x + 1} \geq - 2$
236270	Find the Exact Value	(cos(arcsec(3)+arctan(2)))/(cos(arctan(2)))	$\frac{\cos (arcsec (3) + \arctan (2))}{\cos (\arctan (2))}$
236271	Plot	sin(theta)<0 , cos(theta)<0	$\sin (θ) < 0$ , $\cos (θ) < 0$
236272	Solve for x	5x = square root of 8+10x	$5 x = \sqrt{8 + 10 x}$
236273	Find the Domain and Range	g(x)=-2sec(2x+3)-1	$g (x) = - 2 \sec (2 x + 3) - 1$
236274	Evaluate	10x+60(10-x)=250	$10 x + 60 (10 - x) = 250$
236275	Solve for x	(5x)/(x+1)=4	$\frac{5 x}{x + 1} = 4$
236276	Evaluate	((1/64)^(1/3))^-2	${({(\frac{1}{64})}^{\frac{1}{3}})}^{- 2}$
236277	Solve the System of Inequalities	y>=3/5x-6 y<=-x+2	$y \geq \frac{3}{5} x - 6$ $y \leq - x + 2$
236278	Solve the Inequality for x	x^2<=3	$x^{2} \leq 3$
236279	Solve for x	3x^4+18=21x^2	$3 x^{4} + 18 = 21 x^{2}$
236280	Find the Domain and Range	f(x) = log base 1/2 of \|2-x\|	$f (x) = \log_{\frac{1}{2}} (\| 2 - x \|)$
236281	Solve for p	-p-13=-4/3p+2/3(5p-6)	$- p - 13 = - \frac{4}{3} p + \frac{2}{3} (5 p - 6)$
236282	Find the Inverse	g(x)=1/2 square root of x+1+4	$g (x) = \frac{1}{2} \sqrt[2]{x + 1} + 4$
236283	Solve the Inequality for x	6x^2-x-12>=-10	$6 x^{2} - x - 12 \geq - 10$
236284	Solve for x	((x+5)(x-4))/((x-3)(x+7))<=0	$\frac{(x + 5) (x - 4)}{(x - 3) (x + 7)} \leq 0$
236285	Solve for u	38=-4u-2u-16	$38 = - 4 u - 2 u - 16$
236286	Simplify	((q^2+2q)/(6q))÷((q^2-4)/(3q^2))	$\frac{q^{2} + 2 q}{6 q} \div \frac{q^{2} - 4}{3 q^{2}}$
236287	Simplify	(4^2)^(1/2)(5x^2)^3	${(4^{2})}^{\frac{1}{2}} {(5 x^{2})}^{3}$
236288	Evaluate	3^24^35^0	$3^{2} \cdot 4^{3} \cdot 5^{0}$
236289	Find the Exact Value	cos(330)^2	$\cos^{2} (330)$
236290	Find the Inverse	f(x)=(x-6)^2 , [6,infinity)	$f (x) = {(x - 6)}^{2}$ , $[6, \infty)$
236291	Write the Fraction in Simplest Form	square root of 81a^7b^12c^9	$\sqrt{81 a^{7} b^{12} c^{9}}$
236292	Solve the Absolute Value Inequality for x	-5\|x-4\|>-20	$- 5 \| x - 4 \| > - 20$
236293	Solve the System of Inequalities	3x-y>=2 3x-y<-5	$3 x - y \geq 2$ $3 x - y < - 5$
236294	Solve for b	square root of 9b+1=8	$\sqrt{9 b + 1} = 8$
236295	Simplify the Radical Expression	square root of 100+ square root of -1+ square root of 1- square root of -25	$\sqrt{100} + \sqrt{- 1} + \sqrt{1} - \sqrt{- 25}$
236296	Solve the System of Equations	y=1/4x x+4y=8	$y = \frac{1}{4} x$ $x + 4 y = 8$
236297	Find the Slope and y-intercept	y=5(3-2x)	$y = 5 (3 - 2 x)$
236298	Graph	\|8x\|>=16	$\| 8 x \| \geq 16$
236299	Evaluate	(1/( square root of 2))^0	${(\frac{1}{\sqrt{2}})}^{0}$
236300	Find All Complex Solutions	2x^2-4x=-2	$2 x^{2} - 4 x = - 2$