Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
207201	Simplify	i^29i^17i^32	$i^{29} \cdot i^{17} \cdot i^{32}$
207202	Divide	(14m^2-28m^8+7m)/(7m)	$\frac{14 m^{2} - 28 m^{8} + 7 m}{7 m}$
207203	Solve for x	5+x-3x=7-2x	$5 + x - 3 x = 7 - 2 x$
207204	Identify the Sequence	4 , 12 , 36 , 108 ; dots	$4$ , $12$ , $36$ , $108$ ; dots
207205	Graph	x^2+y>3	$x^{2} + y > 3$
207206	Evaluate Using the Given Value	Evaluate 3/2y-3+5/3z when y=6 and z=3	Evaluate $\frac{3}{2} y - 3 + \frac{5}{3} z$ when $y = 6$ and $z = 3$
207207	Simplify	(5^-1)/(5^-2)*5^-3	$\frac{5^{- 1}}{5^{- 2}} \cdot 5^{- 3}$
207208	Find the Holes in the Graph	(3x^2-9x+6)/(5x-10)	$\frac{3 x^{2} - 9 x + 6}{5 x - 10}$
207209	Simplify the Radical Expression	(4 square root of 3a^3)^2	${(4 \sqrt{3 a^{3}})}^{2}$
207210	Simplify	2y cube root of 135x^6y^3	$2 y \sqrt[3]{135 x^{6} y^{3}}$
207211	Find the Exact Value	(( square root of 3)/2)/(-1/2)	$\frac{\frac{\sqrt{3}}{2}}{- \frac{1}{2}}$
207212	Find the Exact Value	(-( square root of 3)/2)/(1/2)	$\frac{- \frac{\sqrt{3}}{2}}{\frac{1}{2}}$
207213	Simplify the Radical Expression	15 square root of 2*-2 square root of 20	$15 \sqrt{2} \cdot - 2 \sqrt{20}$
207214	Evaluate	((- square root of 3)/2)/(-1/2)	$\frac{\frac{- \sqrt{3}}{2}}{- \frac{1}{2}}$
207215	Simplify	4 square root of x-3 square root of x-2 square root of x	$4 \sqrt{x} - 3 \sqrt{x} - 2 \sqrt{x}$
207216	Write the Fraction in Simplest Form	( square root of 6)/( square root of 3- square root of 5)	$\frac{\sqrt{6}}{\sqrt{3} - \sqrt{5}}$
207217	Solve the Inequality for X	-8X>-64	$- 8 X > - 64$
207218	Simplify	(2x^5*5y^3)^3	${(2 x^{5} \cdot 5 y^{3})}^{3}$
207219	Solve for x	square root of 9x-1 = square root of 7x-3	$\sqrt{9 x} - 1 = \sqrt{7 x - 3}$
207220	Evaluate	(3x^2y^-3)/(12x^6y^3)	$\frac{3 x^{2} y^{- 3}}{12 x^{6} y^{3}}$
207221	Determine if a Polynomial	(r^3)/7	$\frac{r^{3}}{7}$
207222	Simplify	(6x^2y^3(x+3y))/(18x^2y(x+3y)^2)	$\frac{6 x^{2} y^{3} (x + 3 y)}{18 x^{2} y {(x + 3 y)}^{2}}$
207223	Solve by Substitution	-5x+3y=51 and y=10x-8	$- 5 x + 3 y = 51$ and $y = 10 x - 8$
207224	Solve for x	1/3x+1/2x-2=1/2x-7	$\frac{1}{3} x + \frac{1}{2} x - 2 = \frac{1}{2} x - 7$
207225	Find the Roots (Zeros)	-4-4i	$- 4 - 4 i$
207226	Simplify	- square root of 5(2 square root of 10+3 square root of 5-5 square root of 30)	$- \sqrt{5} (2 \sqrt{10} + 3 \sqrt{5} - 5 \sqrt{30})$
207227	Solve for z	4-3z=9-6z+13	$4 - 3 z = 9 - 6 z + 13$
207228	Write as a Single Logarithm	2 natural log of x-3 natural log of y-4 natural log of z	$2 \ln (x) - 3 \ln (y) - 4 \ln (z)$
207229	Solve for x	fourth root of x+8 = fourth root of 3x	$\sqrt[4]{x + 8} = \sqrt[4]{3 x}$
207230	Simplify the Radical Expression	( eighth root of 81)/( sixth root of 3)	$\frac{\sqrt[8]{81}}{\sqrt[6]{3}}$
207231	Subtract	(4x^5-3x^3+2x^2-7)-(x^4+2x^3-4x-3)	$(4 x^{5} - 3 x^{3} + 2 x^{2} - 7) - (x^{4} + 2 x^{3} - 4 x - 3)$
207232	Simplify	sin(x)^2(sec(x)^2+csc(x)^2)	$\sin^{2} (x) (\sec^{2} (x) + \csc^{2} (x))$
207233	Find the Product	(a^2+b)(a+b^2)	$(a^{2} + b) (a + b^{2})$
207234	Simplify	3x fourth root of 8x^2y^2*5y fourth root of 8x^2y^4	$3 x \sqrt[4]{8 x^{2} y^{2}} \cdot 5 y \sqrt[4]{8 x^{2} y^{4}}$
207235	Solve the Rational Equation for x	square root of 14-5x=x-4	$\sqrt{14 - 5 x} = x - 4$
207236	Graph	2-(x-1)^3	$2 - {(x - 1)}^{3}$
207237	Find the Domain and Range	y=12arcsec(2x-5)	$y = 12 arcsec (2 x - 5)$
207238	Simplify	(8 square root of 5)/(4 square root of 3)	$\frac{8 \sqrt{5}}{4 \sqrt{3}}$
207239	Solve for m	-2.1(m-3/4)=-7	$- 2.1 (m - \frac{3}{4}) = - 7$
207240	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 $1$ ?
207241	Solve the Inequality for q	7<4q-9	$7 < 4 q - 9$
207242	Simplify	y square root of 12x^2y+2 square root of 18xy^3-4 square root of 27x^2y^2	$y \sqrt{12 x^{2} y} + 2 \sqrt{18 x y^{3}} - 4 \sqrt{27 x^{2} y^{2}}$
207243	Simplify	3y cube root of 8x^3y^11	$3 y \sqrt[3]{8 x^{3} y^{11}}$
207244	Multiply	(x^2-1)/(x^2+5x+4)*(x^2)/(x^2-x)	$\frac{x^{2} - 1}{x^{2} + 5 x + 4} \cdot \frac{x^{2}}{x^{2} - x}$
207245	Evaluate	e^(5x-2)=6	$e^{5 x - 2} = 6$
207246	Simplify	((x^2-9x+18)/(x^2+9x+18))÷((x^2-36)/(x^2-9))	$\frac{x^{2} - 9 x + 18}{x^{2} + 9 x + 18} \div \frac{x^{2} - 36}{x^{2} - 9}$
207247	Simplify	(15/16)/(3/5)	$\frac{\frac{15}{16}}{\frac{3}{5}}$
207248	Solve for x	5(x-2)=(15x+6)/3-12	$5 (x - 2) = \frac{15 x + 6}{3} - 12$
207249	Simplify	((m^(-1/2)n^2)^(5/4))/(m^2n^(1/2))	$\frac{{(m^{- \frac{1}{2}} n^{2})}^{\frac{5}{4}}}{m^{2} n^{\frac{1}{2}}}$
207250	Find the Domain and Range	f(x)=-2/(2x-4)+1	$f (x) = - \frac{2}{2 x - 4} + 1$
207251	Simplify	Subtract -5x^2+10x-1 from 6x^2-x+3	Subtract $- 5 x^{2} + 10 x - 1$ from $6 x^{2} - x + 3$
207252	Find the Domain and Range	f(x) = log base 1/4 of x-1+1	$f (x) = \log_{\frac{1}{4}} (x - 1) + 1$
207253	Solve for Q	6Q=14-2P	$6 Q = 14 - 2 P$
207254	Graph	y>-x+4 and y>=5	$y > - x + 4$ and $y \geq 5$
207255	Solve the System of Equations	y=1/3x-2 x+y=6	$y = \frac{1}{3} x - 2$ $x + y = 6$
207256	Solve for x	(2/3)^(5x+2)=(3/2)^(2X)	${(\frac{2}{3})}^{5 x + 2} = {(\frac{3}{2})}^{2 X}$
207257	Multiply	( cube root of 10)÷( cube root of 2)	$\sqrt[3]{10} \div \sqrt[3]{2}$
207258	Solve for x	2x^(16/5)-16x^(13/5)=0	$2 x^{\frac{16}{5}} - 16 x^{\frac{13}{5}} = 0$
207259	Simplify	cube root of (18n^2)/(24n)	$\sqrt[3]{\frac{18 n^{2}}{24 n}}$
207260	Simplify	(x^2+2)/4+(2x^2-1)/5	$\frac{x^{2} + 2}{4} + \frac{2 x^{2} - 1}{5}$
207261	Solve for x	x+6/x-5=0	$x + \frac{6}{x} - 5 = 0$
207262	Write the Fraction in Simplest Form	((5v^3)^3)/(2v^10)	$\frac{{(5 v^{3})}^{3}}{2 v^{10}}$
207263	Simplify the Radical Expression	fourth root of 8^3	$\sqrt[4]{8^{3}}$
207264	Simplify	4-2y+(-8y)+6.2	$4 - 2 y + (- 8 y) + 6.2$
207265	Simplify	(4r^2v^0t^5)/(2rt^3)	$\frac{4 r^{2} v^{0} t^{5}}{2 r t^{3}}$
207266	Find the Degree, Leading Term, and Leading Coefficient	1-x/5	$1 - \frac{x}{5}$
207267	Convert to Radical Form	1/((x^2-6)^(-5/2))	$\frac{1}{{(x^{2} - 6)}^{- \frac{5}{2}}}$
207268	Simplify	((4c^2-1)/(3c))/((2c+1)/(9c^2))	$\frac{\frac{4 c^{2} - 1}{3 c}}{\frac{2 c + 1}{9 c^{2}}}$
207269	Solve by Addition/Elimination	-x+y=1 x+y=11	$- x + y = 1$ $x + y = 11$
207270	Find the Holes in the Graph	(4x+18)/(-3x)	$\frac{4 x + 18}{- 3 x}$
207271	Solve for x	cos(x+pi/4)=0	$\cos (x + \frac{π}{4}) = 0$
207272	Solve for x	1/3-10/(x+5)=4	$\frac{1}{3} - \frac{10}{x + 5} = 4$
207273	Solve for x	cos(x)^2=2cos(x)+3	$\cos^{2} (x) = 2 \cos (x) + 3$
207274	Simplify the Radical Expression	fourth root of (81x^2y^4)/(z^8)	$\sqrt[4]{\frac{81 x^{2} y^{4}}{z^{8}}}$
207275	Simplify	(7^4)/(4^2)	$\frac{7^{4}}{4^{2}}$
207276	Solve the Inequality for y	y+6>=-13	$y + 6 \geq - 13$
207277	Simplify	square root of (121a^2b^2)/(9h^4)	$\sqrt{\frac{121 a^{2} b^{2}}{9 h^{4}}}$
207278	Solve the System of Equations	2x-2y+4z=5 4x-4y+5z=4 2z=4	$2 x - 2 y + 4 z = 5$ $4 x - 4 y + 5 z = 4$ $2 z = 4$
207279	Graph	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
207280	Factor	5p*(r-s)-(r-s)	$5 p \cdot (r - s) - (r - s)$
207281	Solve for v	b=3v/h	$b = 3 \frac{v}{h}$
207282	Simplify	Subtract -2x^2+3x-9 from 8x^2+10x-10	Subtract $- 2 x^{2} + 3 x - 9$ from $8 x^{2} + 10 x - 10$
207283	Graph	y<=-2 square root of x-6	$y \leq - 2 \sqrt{x - 6}$
207284	Solve the System of Equations	x^2+y^2=5 y=2x	$x^{2} + y^{2} = 5$ $y = 2 x$
207285	Solve for x	a square root of x+b=c	$a \sqrt{x} + b = c$
207286	Solve the System of Equations	x=5y 3x-15y=0	$x = 5 y$ $3 x - 15 y = 0$
207287	Find the Holes in the Graph	f(x)=(x-5)/(3x^2-16x+5)	$f (x) = \frac{x - 5}{3 x^{2} - 16 x + 5}$
207288	Plot	y>=3-x y<5x-2	$y \geq 3 - x$ $y < 5 x - 2$
207289	Simplify	fifth root of (x^15z^5)/(y^50)	$\sqrt[5]{\frac{x^{15} z^{5}}{y^{50}}}$
207290	Evaluate	7^(x-5)=49^x	$7^{x - 5} = 49^{x}$
207291	Solve for s	(s+1)/4=4/8	$\frac{s + 1}{4} = \frac{4}{8}$
207292	Write in Standard Form	2x=4y	$2 x = 4 y$
207293	Simplify	(3/(5c^2))^0	${(\frac{3}{5 c^{2}})}^{0}$
207294	Solve for x	(4x+1)/(x+1)=12/(x^2-1)+3	$\frac{4 x + 1}{x + 1} = \frac{12}{x^{2} - 1} + 3$
207295	Solve for x	(1/81)^(6x+2)=9^(2x^2+12)	${(\frac{1}{81})}^{6 x + 2} = 9^{2 x^{2} + 12}$
207296	Find the End Behavior	h(x)=-5x^9+6x^7-5x^4+x^2-1	$h (x) = - 5 x^{9} + 6 x^{7} - 5 x^{4} + x^{2} - 1$
207297	Factor	(64-m^3)/((4-m)^3)	$\frac{64 - m^{3}}{{(4 - m)}^{3}}$
207298	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 $(- 13, - 7)$
207299	Solve the Inequality for x	x/5<=-3/5	$\frac{x}{5} \leq - \frac{3}{5}$
207300	Simplify	((4m^2n^2)/(8m^-1l))^0	${(\frac{4 m^{2} n^{2}}{8 m^{- 1} l})}^{0}$