Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
228101	Find the Excluded Values	(x-7)/(5x-1)	$\frac{x - 7}{5 x - 1}$
228102	Solve for r	square root of 12-r=r	$\sqrt{12 - r} = r$
228103	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-6,1) and has a slope of -3/2 ?	What is the equation of the line that passes through the point $(- 6, 1)$ and has a slope of $- \frac{3}{2}$ ?
228104	Find the Leading Coefficient	x	$x$
228105	Solve for c	-3=-15-2(c-1)-3c	$- 3 = - 15 - 2 (c - 1) - 3 c$
228106	Multiply	3 square root of 5(6-2 square root of 6)	$3 \sqrt{5} (6 - 2 \sqrt{6})$
228107	Simplify	3 square root of 20(2 square root of 5-7)	$3 \sqrt{20} (2 \sqrt{5} - 7)$
228108	Solve Using the Quadratic Formula	-8x+30=-3x^2+5x	$- 8 x + 30 = - 3 x^{2} + 5 x$
228109	Simplify	3-1/2(2x-4y)-(x+y)	$3 - \frac{1}{2} (2 x - 4 y) - (x + y)$
228110	Simplify	(x^2+6x+6x^3)-(3x-8x^2-4x^3)	$(x^{2} + 6 x + 6 x^{3}) - (3 x - 8 x^{2} - 4 x^{3})$
228111	Find the End Behavior	x^2	$x^{2}$
228112	Solve for m	6*4^m-14=88	$6 \cdot 4^{m} - 14 = 88$
228113	Solve for s	-2\|s+6\|<-16	$- 2 \| s + 6 \| < - 16$
228114	Evaluate	(2m^-4)/((2m^-4)^3)	$\frac{2 m^{- 4}}{{(2 m^{- 4})}^{3}}$
228115	Solve for x	2-12/(4-x)=(2x+4)/(x^2-16)	$2 - \frac{12}{4 - x} = \frac{2 x + 4}{x^{2} - 16}$
228116	Solve the Inequality for x	26+x>=5(-6+3x)	$26 + x \geq 5 (- 6 + 3 x)$
228117	Simplify	x^2(4x-2y)	$x^{2} (4 x - 2 y)$
228118	Evaluate	((2^23^2)/(32^2))^2	${(\frac{2^{2} \cdot 3^{2}}{3 \cdot 2^{2}})}^{2}$
228119	Simplify	(4^2*4^3)÷(4^-4)	$4^{2} \cdot 4^{3} \div 4^{- 4}$
228120	Find the Equation Using Point-Slope Formula	through: (2,5) , slope=undefined	through: $(2, 5)$ , $s l o p e = u n d e f i n e d$
228121	Convert to a Percentage	18 is what percent of 40	$18$ is what percent of $40$
228122	Simplify	(1+i square root of 3)^2	${(1 + i \sqrt{3})}^{2}$
228123	Find the Exact Value	1/((- square root of 3)/2)	$\frac{1}{\frac{- \sqrt{3}}{2}}$
228124	Simplify	2w+3r-1r+5w	$2 w + 3 r - 1 r + 5 w$
228125	Solve for x	-2sec(x)^2tan(x)=0	$- 2 \sec^{2} (x) \tan (x) = 0$
228126	Evaluate	square root of x+12=x	$\sqrt{x + 12} = x$
228127	Determine if True	tan(x)^2-sin(x)^2=tan(x)^2sin(x)^2	$\tan^{2} (x) - \sin^{2} (x) = \tan^{2} (x) \sin^{2} (x)$
228128	Solve for v	v+2=v-2	$v + 2 = v - 2$
228129	Simplify	(63^(1-n)7^(n-1)81^-1)/(4^(n+2)*36^(-n-1))	$\frac{63^{1 - n} \cdot 7^{n - 1} \cdot 81^{- 1}}{4^{n + 2} \cdot 36^{- n - 1}}$
228130	Simplify	( square root of 8+ square root of 5)/( square root of 2- square root of 5)	$\frac{\sqrt{8} + \sqrt{5}}{\sqrt{2} - \sqrt{5}}$
228131	Divide	( square root of x+ square root of y)÷( square root of xy)	$(\sqrt{x} + \sqrt{y}) \div \sqrt{x y}$
228132	Find the Inverse	( square root of x)/2	$\frac{\sqrt{x}}{2}$
228133	Graph	y>\|x+4\|-3 y<=-2/3x+1	$y > \| x + 4 \| - 3$ $y \leq - \frac{2}{3} x + 1$
228134	Find the Excluded Values	(2x-3)/(x+4)+(4x-5)/(x+4)	$\frac{2 x - 3}{x + 4} + \frac{4 x - 5}{x + 4}$
228135	Solve the System of Equations	x=8-2y y-x=4	$x = 8 - 2 y$ $y - x = 4$
228136	Solve for x	(3x)/(x+1)-5/(2x)=3/(2x)	$\frac{3 x}{x + 1} - \frac{5}{2 x} = \frac{3}{2 x}$
228137	Solve for m	-158=-8-5m^2	$- 158 = - 8 - 5 m^{2}$
228138	Simplify	(3/4+7/5i)-(5/6-1/6i)	$(\frac{3}{4} + \frac{7}{5} i) - (\frac{5}{6} - \frac{1}{6} i)$
228139	Graph	f(x)=1/2 square root of x+4-1	$f (x) = \frac{1}{2} \sqrt{x + 4} - 1$
228140	Simplify	(x/2+1)^2	${(\frac{x}{2} + 1)}^{2}$
228141	Evaluate	(-5^0)/(3^-2)	$\frac{- 5^{0}}{3^{- 2}}$
228142	Simplify	(-(5x^5)/(9y^9))^-3*((9y^5)/(5x^9))^-2	${(- \frac{5 x^{5}}{9 y^{9}})}^{- 3} \cdot {(\frac{9 y^{5}}{5 x^{9}})}^{- 2}$
228143	Solve the System of Inequalities	y>=x+8 y>-3x-4	$y \geq x + 8$ $y > - 3 x - 4$
228144	Graph	x^2>=0	$x^{2} \geq 0$
228145	Multiply	5/3*(-6/7)	$\frac{5}{3} \cdot (- \frac{6}{7})$
228146	Solve by Factoring	x^3+x^2-10x-10=0	$x^{3} + x^{2} - 10 x - 10 = 0$
228147	Solve for x	x^(2/3)=3x^(1/3)	$x^{\frac{2}{3}} = 3 x^{\frac{1}{3}}$
228148	Simplify	(3x^4)(x/3)^3	$(3 x^{4}) {(\frac{x}{3})}^{3}$
228149	Solve for x	6.2÷(2x+1)=7/12	$6.2 \div (2 x + 1) = \frac{7}{12}$
228150	Factor	-64a^4b-96ab^3+8a	$- 64 a^{4} b - 96 a b^{3} + 8 a$
228151	Multiply	p^3p^2p	$p^{3} \cdot p^{2} \cdot p$
228152	Find the x and y Intercepts	f(x) = natural log of x-1-1	$f (x) = \ln (x - 1) - 1$
228153	Solve for x	1-sec(x)^2=0	$1 - \sec^{2} (x) = 0$
228154	Simplify	(4f+13g)(2w)	$(4 f + 13 g) (2 w)$
228155	Graph	f(x)=(4x)/(x^3+2x^2-3x)	$f (x) = \frac{4 x}{x^{3} + 2 x^{2} - 3 x}$
228156	Find the Degree	x^2+x/4	$x^{2} + \frac{x}{4}$
228157	Solve for x	3 square root of x=4	$3 \sqrt{x} = 4$
228158	Write the Fraction in Simplest Form	((4z^-2x^3)^2)/(2z^5x^2)	$\frac{{(4 z^{- 2} x^{3})}^{2}}{2 z^{5} x^{2}}$
228159	Simplify	tan(x)^2csc(x)	$\tan^{2} (x) \csc (x)$
228160	Find the Degree	2x+6x=14	$2 x + 6 x = 14$
228161	Simplify	(9(x-4))/(3x)	$\frac{9 (x - 4)}{3 x}$
228162	Find the Roots (Zeros)	f(x)=x^3+x^2-2	$f (x) = x^{3} + x^{2} - 2$
228163	Solve Using the Quadratic Formula	r^2-(3r)/5+2/5=0	$r^{2} - \frac{3 r}{5} + \frac{2}{5} = 0$
228164	Simplify	(2x-1)(x^2-2)-x(x^2-x-2)	$(2 x - 1) (x^{2} - 2) - x (x^{2} - x - 2)$
228165	Find the Exact Value	pi+pi/6	$π + \frac{π}{6}$
228166	Find the Distance Between Two Points	(0,-7) and (-6,1)	$(0, - 7)$ and $(- 6, 1)$
228167	Evaluate	6^36*8^63	$6^{36} \cdot 8^{63}$
228168	Combine Like Terms	-6(b+2)+8	$- 6 (b + 2) + 8$
228169	Graph	f(x)=-(x+3)x(x+1)^3	$f (x) = - (x + 3) x {(x + 1)}^{3}$
228170	Find the Holes in the Graph	(x^2+2x)/(-4x+8)	$\frac{x^{2} + 2 x}{- 4 x + 8}$
228171	Find the First Term	a_n=2(-1)^n	$a_{n} = 2 {(- 1)}^{n}$
228172	Solve for m	0.1m-1.3m=-2.1-2.7	$0.1 m - 1.3 m = - 2.1 - 2.7$
228173	Graph	f(x)=Inx	$f (x) = I n x$
228174	Graph	slope 3	slope $3$
228175	Evaluate	4(80+b)-12	$4 (80 + b) - 12$
228176	Write as a Single Logarithm	3/5 natural log of x-7 natural log of y	$\frac{3}{5} \ln (x) - 7 \ln (y)$
228177	Solve the System of Equations	(x+3)^2+(y+2)^2=17 x+y=-2	${(x + 3)}^{2} + {(y + 2)}^{2} = 17$ $x + y = - 2$
228178	Evaluate	(27x)^(1/3)	${(27 x)}^{\frac{1}{3}}$
228179	Simplify the Radical Expression	fourth root of (x^12y^8)/16	$\sqrt[4]{\frac{x^{12} y^{8}}{16}}$
228180	Evaluate	(x^4y^3y^4)/(x^6)	$\frac{x^{4} y^{3} y^{4}}{x^{6}}$
228181	Solve for k	k/3+4-2k=-9k	$\frac{k}{3} + 4 - 2 k = - 9 k$
228182	Convert to Radical Form	7^(1/2)*21^(1/2)	$7^{\frac{1}{2}} \cdot 21^{\frac{1}{2}}$
228183	Evaluate	(v^-1)^(1/9)	${(v^{- 1})}^{\frac{1}{9}}$
228184	Simplify the Radical Expression	x1/2y3/2	$x \frac{1}{2} y \frac{3}{2}$
228185	Evaluate	-3(4x-2)-2x	$- 3 (4 x - 2) - 2 x$
228186	Solve for a	6(2-a)+3(-5a-4)=-4a+5a	$6 (2 - a) + 3 (- 5 a - 4) = - 4 a + 5 a$
228187	Simplify	6(1/3x-y)	$6 (\frac{1}{3} x - y)$
228188	Evaluate	tan(2A)=(2tan(A))/(1-tan(A)^2)	$\tan (2 A) = \frac{2 \tan (A)}{1 - \tan^{2} (A)}$
228189	Find the Holes in the Graph	(3x^2-5x-12)/(x^2-4x+3)	$\frac{3 x^{2} - 5 x - 12}{x^{2} - 4 x + 3}$
228190	Write in Standard Form	x^4-5x^3+2x-x^2-1	$x^{4} - 5 x^{3} + 2 x - x^{2} - 1$
228191	Solve the System of Equations	x+y=4 and 3x+7y=32	$x + y = 4$ and $3 x + 7 y = 32$
228192	Simplify	1/(v-4)*(v^2-7v+12)/(v+3)	$\frac{1}{v - 4} \cdot \frac{v^{2} - 7 v + 12}{v + 3}$
228193	Solve for x	5.9^(x+1)=15	${5.9}^{x + 1} = 15$
228194	Find the Inverse	f(x)=(x1/2)/4	$f (x) = \frac{x \frac{1}{2}}{4}$
228195	Simplify	100- square root of 64+3	$100 - \sqrt{64 + 3}$
228196	Find the Exact Value	cot(-945 degrees )	$\cot (- 945 °)$
228197	Simplify	x3/4*x5/3	$x \frac{3}{4} \cdot x \frac{5}{3}$
228198	Solve by Completing the Square	x^2-2x-3/4=0	$x^{2} - 2 x - \frac{3}{4} = 0$
228199	Simplify	( cube root of m^7)( cube root of 5m^2)	$(\sqrt[3]{m^{7}}) (\sqrt[3]{5 m^{2}})$
228200	Find the Roots (Zeros)	f(x)=x^4+x^3-x^2+x+12	$f (x) = x^{4} + x^{3} - x^{2} + x + 12$