Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207201	Write the Fraction in Simplest Form	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
207202	Solve the Inequality for X	-8X>-64	$- 8 X > - 64$
207203	Simplify	(2x^5*5y^3)^3	${(2 x^{5} \cdot 5 y^{3})}^{3}$
207204	Solve for x	square root of 9x-1 = square root of 7x-3	$\sqrt{9 x} - 1 = \sqrt{7 x - 3}$
207205	Evaluate	(3x^2y^-3)/(12x^6y^3)	$\frac{3 x^{2} y^{- 3}}{12 x^{6} y^{3}}$
207206	Determine if a Polynomial	(r^3)/7	$\frac{r^{3}}{7}$
207207	Simplify	(6x^2y^3(x+3y))/(18x^2y(x+3y)^2)	$\frac{6 x^{2} y^{3} (x + 3 y)}{18 x^{2} y {(x + 3 y)}^{2}}$
207208	Solve by Substitution	-5x+3y=51 and y=10x-8	$- 5 x + 3 y = 51$ and $y = 10 x - 8$
207209	Solve for x	1/3x+1/2x-2=1/2x-7	$\frac{1}{3} x + \frac{1}{2} x - 2 = \frac{1}{2} x - 7$
207210	Find the Roots (Zeros)	-4-4i	$- 4 - 4 i$
207211	Simplify	- square root of 5(2 square root of 10+3 square root of 5-5 square root of 30)	$- \sqrt{5} (2 \sqrt{10} + 3 \sqrt{5} - 5 \sqrt{30})$
207212	Solve for z	4-3z=9-6z+13	$4 - 3 z = 9 - 6 z + 13$
207213	Write as a Single Logarithm	2 natural log of x-3 natural log of y-4 natural log of z	$2 \ln (x) - 3 \ln (y) - 4 \ln (z)$
207214	Solve for x	fourth root of x+8 = fourth root of 3x	$\sqrt[4]{x + 8} = \sqrt[4]{3 x}$
207215	Simplify the Radical Expression	( eighth root of 81)/( sixth root of 3)	$\frac{\sqrt[8]{81}}{\sqrt[6]{3}}$
207216	Subtract	(4x^5-3x^3+2x^2-7)-(x^4+2x^3-4x-3)	$(4 x^{5} - 3 x^{3} + 2 x^{2} - 7) - (x^{4} + 2 x^{3} - 4 x - 3)$
207217	Simplify	sin(x)^2(sec(x)^2+csc(x)^2)	$\sin^{2} (x) (\sec^{2} (x) + \csc^{2} (x))$
207218	Find the Product	(a^2+b)(a+b^2)	$(a^{2} + b) (a + b^{2})$
207219	Simplify	3x fourth root of 8x^2y^2*5y fourth root of 8x^2y^4	$3 x \sqrt[4]{8 x^{2} y^{2}} \cdot 5 y \sqrt[4]{8 x^{2} y^{4}}$
207220	Solve the Rational Equation for x	square root of 14-5x=x-4	$\sqrt{14 - 5 x} = x - 4$
207221	Graph	2-(x-1)^3	$2 - {(x - 1)}^{3}$
207222	Find the Domain and Range	y=12arcsec(2x-5)	$y = 12 arcsec (2 x - 5)$
207223	Simplify	(8 square root of 5)/(4 square root of 3)	$\frac{8 \sqrt{5}}{4 \sqrt{3}}$
207224	Solve for m	-2.1(m-3/4)=-7	$- 2.1 (m - \frac{3}{4}) = - 7$
207225	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,1) and has a slope of 1 ?	What is the equation of the line that passes through the point $(5, 1)$ and has a slope of $1$ ?
207226	Solve the Inequality for q	7<4q-9	$7 < 4 q - 9$
207227	Simplify	y square root of 12x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{12 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
207228	Simplify	3y cube root of 8x^3y^11	$3 y \sqrt[3]{8 x^{3} y^{11}}$
207229	Multiply	(x^2-1)/(x^2+5x+4)*(x^2)/(x^2-x)	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \cdot \frac{x^{2}}{x^{2} - x}$
207230	Evaluate	e^(5x-2)=6	$e^{5 x - 2} = 6$
207231	Simplify	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
207232	Simplify	(15/16)/(3/5)	$\frac{\frac{15}{16}}{\frac{3}{5}}$
207233	Solve for x	5(x-2)=(15x+6)/3-12	$5 (x - 2) = \frac{15 x + 6}{3} - 12$
207234	Simplify	((m^(-1/2)n^2)^(5/4))/(m^2n^(1/2))	$\frac{{(m^{- \frac{1}{2}} n^{2})}^{\frac{5}{4}}}{m^{2} n^{\frac{1}{2}}}$
207235	Find the Domain and Range	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
207236	Simplify	Subtract -5x^2+10x-1 from 6x^2-x+3	Subtract $- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
207237	Find the Domain and Range	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
207238	Solve for Q	6Q=14-2P	$6 Q = 14 - 2 P$
207239	Graph	y>-x+4 and y>=5	$y > - x + 4$ and $y \geq 5$
207240	Solve the System of Equations	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
207241	Solve for x	(2/3)^(5x+2)=(3/2)^(2X)	${(\frac{2}{3})}^{5 x + 2} = {(\frac{3}{2})}^{2 X}$
207242	Multiply	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
207243	Solve for x	2x^(16/5)-16x^(13/5)=0	$2 x^{\frac{16}{5}} - 16 x^{\frac{13}{5}} = 0$
207244	Simplify	cube root of (18n^2)/(24n)	$\sqrt[3]{\frac{18 n^{2}}{24 n}}$
207245	Simplify	(x^2+2)/4+(2x^2-1)/5	$\frac{x^{2} + 2}{4} + \frac{2 x^{2} - 1}{5}$
207246	Solve for x	x+6/x-5=0	$x + \frac{6}{x} - 5 = 0$
207247	Write the Fraction in Simplest Form	((5v^3)^3)/(2v^10)	$\frac{{(5 v^{3})}^{3}}{2 v^{10}}$
207248	Simplify the Radical Expression	fourth root of 8^3	$\sqrt[4]{8^{3}}$
207249	Simplify	4-2y+(-8y)+6.2	$4 - 2 y + (- 8 y) + 6.2$
207250	Simplify	(4r^2v^0t^5)/(2rt^3)	$\frac{4 r^{2} v^{0} t^{5}}{2 r t^{3}}$
207251	Find the Degree, Leading Term, and Leading Coefficient	1-x/5	$1 - \frac{x}{5}$
207252	Convert to Radical Form	1/((x^2-6)^(-5/2))	$\frac{1}{{(x^{2} - 6)}^{- \frac{5}{2}}}$
207253	Simplify	((4c^2-1)/(3c))/((2c+1)/(9c^2))	$\frac{\frac{4 c^{2} - 1}{3 c}}{\frac{2 c + 1}{9 c^{2}}}$
207254	Solve by Addition/Elimination	-x+y=1 x+y=11	$- x + y = 1$ $x + y = 11$
207255	Find the Holes in the Graph	(4x+18)/(-3x)	$\frac{4 x + 18}{- 3 x}$
207256	Solve for x	cos(x+pi/4)=0	$\cos (x + \frac{π}{4}) = 0$
207257	Solve for x	1/3-10/(x+5)=4	$\frac{1}{3} - \frac{10}{x + 5} = 4$
207258	Solve for x	cos(x)^2=2cos(x)+3	$\cos^{2} (x) = 2 \cos (x) + 3$
207259	Simplify the Radical Expression	fourth root of (81x^2y^4)/(z^8)	$\sqrt[4]{\frac{81 x^{2} y^{4}}{z^{8}}}$
207260	Simplify	(7^4)/(4^2)	$\frac{7^{4}}{4^{2}}$
207261	Solve the Inequality for y	y+6>=-13	$y + 6 \geq - 13$
207262	Simplify	square root of (121a^2b^2)/(9h^4)	$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$
207263	Solve the System of Equations	2x-2y+4z=5 4x-4y+5z=4 2z=4	$2 x - 2 y + 4 z = 5$ $4 x - 4 y + 5 z = 4$ $2 z = 4$
207264	Graph	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
207265	Factor	5p*(r-s)-(r-s)	$5 p \cdot (r - s) - (r - s)$
207266	Solve for v	b=3v/h	$b = 3 \frac{v}{h}$
207267	Simplify	Subtract -2x^2+3x-9 from 8x^2+10x-10	Subtract $- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
207268	Graph	y<=-2 square root of x-6	$y \leq - 2 \sqrt{x - 6}$
207269	Solve the System of Equations	x^2+y^2=5 y=2x	$x^{2} + y^{2} = 5$ $y = 2 x$
207270	Solve for x	a square root of x+b=c	$a \sqrt{x} + b = c$
207271	Solve the System of Equations	x=5y 3x-15y=0	$x = 5 y$ $3 x - 15 y = 0$
207272	Find the Holes in the Graph	f(x)=(x-5)/(3x^2-16x+5)	$f (x) = \frac{x - 5}{3 x^{2} - 16 x + 5}$
207273	Plot	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
207274	Simplify	fifth root of (x^15z^5)/(y^50)	$\sqrt[5]{\frac{x^{15} z^{5}}{y^{50}}}$
207275	Evaluate	7^(x-5)=49^x	$7^{x - 5} = 49^{x}$
207276	Solve for s	(s+1)/4=4/8	$\frac{s + 1}{4} = \frac{4}{8}$
207277	Write in Standard Form	2x=4y	$2 x = 4 y$
207278	Simplify	(3/(5c^2))^0	${(\frac{3}{5 c^{2}})}^{0}$
207279	Solve for x	(4x+1)/(x+1)=12/(x^2-1)+3	$\frac{4 x + 1}{x + 1} = \frac{12}{x^{2} - 1} + 3$
207280	Solve for x	(1/81)^(6x+2)=9^(2x^2+12)	${(\frac{1}{81})}^{6 x + 2} = 9^{2 x^{2} + 12}$
207281	Find the End Behavior	h(x)=-5x^9+6x^7-5x^4+x^2-1	$h (x) = - 5 x^{9} + 6 x^{7} - 5 x^{4} + x^{2} - 1$
207282	Factor	(64-m^3)/((4-m)^3)	$\frac{64 - m^{3}}{{(4 - m)}^{3}}$
207283	Find the Distance Between Two Points	find the distance between the pair of points (18,22) and (-13,-7)	find the distance between the pair of points $(18, 22)$ and $(- 13, - 7)$
207284	Solve the Inequality for x	x/5<=-3/5	$\frac{x}{5} \leq - \frac{3}{5}$
207285	Simplify	((4m^2n^2)/(8m^-1l))^0	${(\frac{4 m^{2} n^{2}}{8 m^{- 1} l})}^{0}$
207286	Solve for x	3^x+3^(3-x)=12	$3^{x} + 3^{3 - x} = 12$
207287	Simplify	12/(4^(3/2))	$\frac{12}{4^{\frac{3}{2}}}$
207288	Solve for x	1-5/(x+2)=7/(x^2-7x-18)	$1 - \frac{5}{x + 2} = \frac{7}{x^{2} - 7 x - 18}$
207289	Solve for x	2sin(x)cos(x) = square root of 2cos(x)	$2 \sin (x) \cos (x) = \sqrt{2} \cos (x)$
207290	Simplify	square root of 3/2+ square root of 24	$\sqrt{\frac{3}{2}} + \sqrt{24}$
207291	Solve for y	(4x+6y)/3=y+15	$\frac{4 x + 6 y}{3} = y + 15$
207292	Write in Standard Form	x^2-14x+49+y^2+4y=0	$x^{2} - 14 x + 49 + y^{2} + 4 y = 0$
207293	Solve for x	(x+4)(x-5)+3=0	$(x + 4) (x - 5) + 3 = 0$
207294	Solve for n	3+ square root of n=13	$3 + \sqrt{n} = 13$
207295	Solve for h	3h^2=h^2+18	$3 h^{2} = h^{2} + 18$
207296	Solve for r	15+10r-9=-7r-11	$15 + 10 r - 9 = - 7 r - 11$
207297	Find the Exact Value	arctan(cos(0))	$\arctan (\cos (0))$
207298	Simplify	(2 square root of 7+3)(2 square root of 7-3)	$(2 \sqrt{7} + 3) (2 \sqrt{7} - 3)$
207299	Rationalize the Denominator	( square root of 3xy^2)/( square root of 5xy^3)	$\frac{\sqrt{3 x y^{2}}}{\sqrt{5 x y^{3}}}$
207300	Factor	y=x^3-4x^2+x+6	$y = x^{3} - 4 x^{2} + x + 6$