Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
20301	Simplify	(6^-3)/((6^-6)^2)	$\frac{6^{- 3}}{{(6^{- 6})}^{2}}$
20302	Solve the Inequality for y	square root of y^6=-y^3	$\sqrt{y^{6}} = - y^{3}$
20303	Find dy/dx	y=(x-6)/(4x)	$y = \frac{x - 6}{4 x}$
20304	Simplify the Radical Expression	( fourth root of a^5)÷2 fourth root of a	$\sqrt[4]{a^{5}} \div 2 \sqrt[4]{a}$
20305	Divide Using Long Polynomial Division	(x^3+3x^2-4x-12)÷(x^2+x-6)	$(x^{3} + 3 x^{2} - 4 x - 12) \div (x^{2} + x - 6)$
20306	Evaluate	log base 3 of 2x^2=2 log base 3 of 2x	$\log_{3} (2 x^{2}) = 2 \log_{3} (2 x)$
20307	Simplify	square root of 3(6)+2^2+(8-5)+6*3^2	$\sqrt{3 (6) + 2^{2} + (8 - 5)} + 6 \cdot 3^{2}$
20308	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^3+x^2-18x+18 is divided by x+3	Use synthetic division to find the result when $3 x^{3} + x^{2} - 18 x + 18$ is divided by $x + 3$
20309	Simplify	(4a-5b^2+3)+(6-2a+3b^2)	$(4 a - 5 b^{2} + 3) + (6 - 2 a + 3 b^{2})$
20310	Simplify	( square root of 6m^3n^5)/( square root of 150mn)	$\frac{\sqrt{6 m^{3} n^{5}}}{\sqrt{150 m n}}$
20311	Multiply	square root of 3* square root of 4	$\sqrt{3} \cdot \sqrt{4}$
20312	Find the Degree	r^4+r	$r^{4} + r$
20313	Solve the Inequality for x	5<=x	$5 \leq x$
20314	Find the Domain	5/( cube root of x-8)	$\frac{5}{\sqrt[3]{x - 8}}$
20315	Find the Derivative - d/dx	y=1/27(9x^2+6)^(3/2)	$y = \frac{1}{27} {(9 x^{2} + 6)}^{\frac{3}{2}}$
20316	Evaluate the Integral	integral of [3sec(t)^2+1/( square root of t)] with respect to t	$\int [3 \sec^{2} (t) + \frac{1}{\sqrt{t}}] d t$
20317	Simplify	3x-5+8x+3(x-4)	$3 x - 5 + 8 x + 3 (x - 4)$
20318	Add	(2x^4+5x^2-11)+(-6x^4-7x^2+1)	$(2 x^{4} + 5 x^{2} - 11) + (- 6 x^{4} - 7 x^{2} + 1)$
20319	Evaluate the Limit	limit as x approaches 3 of (3-x)/(x+4)	$lim_{x \to 3} \frac{3 - x}{x + 4}$
20320	Find the Slope	(5,6) and (6,5)	$(5, 6)$ and $(6, 5)$
20321	Find the Slope	(0,3) and (4,1)	$(0, 3)$ and $(4, 1)$
20322	Find dV/dr	V=1/3pir^2h	$V = \frac{1}{3} π r^{2} h$
20323	Verify the Identity	tan(-x)cot(x)=-1	$\tan (- x) \cot (x) = - 1$
20324	Solve by Factoring	3x^4-2x^2=16	$3 x^{4} - 2 x^{2} = 16$
20325	Expand Using Sum/Difference Formulas	sin(A+B)+sin(A-B)	$\sin (A + B) + \sin (A - B)$
20326	Simplify	(\|7+5\|+4\|-2\|)/(\|4-2\|)	$\frac{\| 7 + 5 \| + 4 \| - 2 \|}{\| 4 - 2 \|}$
20327	Simplify the Radical Expression	2 square root of 7x*3 square root of 14x^2	$2 \sqrt{7 x} \cdot 3 \sqrt{14 x^{2}}$
20328	Solve for x	4x+2<8x-(6x-10)	$4 x + 2 < 8 x - (6 x - 10)$
20329	Graph	(x^(-)2x^(-)3)^4	${(x^{-} \cdot 2 x^{-} \cdot 3)}^{4}$
20330	Simplify	10d-3d+2e+4d	$10 d - 3 d + 2 e + 4 d$
20331	Solve Over the Interval	16sin(theta)^2-12=0 , 0<=theta<2pi	$16 \sin^{2} (θ) - 12 = 0$ , $0 \leq θ < 2 π$
20332	Graph	square root of x+y<=1	$\sqrt{x + y} \leq 1$
20333	Solve for a	log base 7 of 6a+4 = log base 7 of 9a-5	$\log_{7} (6 a + 4) = \log_{7} (9 a - 5)$
20334	Write with Rational (Fractional) Exponents	fourth root of 10^5* cube root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[3]{10}$
20335	Evaluate the Limit	limit as x approaches 1 of (f(x)-8)/(x-1)=10	$lim_{x \to 1} \frac{f (x) - 8}{x - 1} = 10$
20336	Evaluate the Integral	integral from -1 to 6 of [5y-(y^2-6)] with respect to y	$\int_{- 1}^{6} [5 y - (y^{2} - 6)] d y$
20337	Simplify	6a^7b^9*2a^-3b	$6 a^{7} b^{9} \times 2 a^{- 3} b$
20338	Rationalize the Numerator	( square root of x+ square root of y)/(x^2-y^2)	$\frac{\sqrt{x} + \sqrt{y}}{x^{2} - y^{2}}$
20339	Solve for x	7=6+e^(3-2x)	$7 = 6 + e^{3 - 2 x}$
20340	Solve for x	log base cube root of 3 of x^10+6=36	$\log_{\sqrt[3]{3}} (x^{10}) + 6 = 36$
20341	Graph	3x-5y<=15 y>-2/3x+1	$3 x - 5 y \leq 15$ $y > - \frac{2}{3} x + 1$
20342	Simplify	((16x^(1/6)y^-2)/(x^(-1/6)y^6))^(3/2)	${(\frac{16 x^{\frac{1}{6}} y^{- 2}}{x^{- \frac{1}{6}} y^{6}})}^{\frac{3}{2}}$
20343	Find the GCF	a	$a$
20344	Solve for n	10^(-9n)=24	$10^{- 9 n} = 24$
20345	Find the Asymptotes	(3x^2-75)/(x^2-5x)	$\frac{3 x^{2} - 75}{x^{2} - 5 x}$
20346	Expand Using Sum/Difference Formulas	tan(u+pi)	$\tan (u + π)$
20347	Find the Inverse	Find the inverse of f(x)=x^2-5	Find the inverse of $f (x) = x^{2} - 5$
20348	Find the Product	-1/4m(8m^2+m-7)	$- \frac{1}{4} m (8 m^{2} + m - 7)$
20349	Solve for x	x=(12-x)^(1/2)	$x = {(12 - x)}^{\frac{1}{2}}$
20350	Evaluate	5/9*1/2-1/6	$\frac{5}{9} \cdot \frac{1}{2} - \frac{1}{6}$
20351	Solve the Inequality for x	2x^2-5x+15>3x+9	$2 x^{2} - 5 x + 15 > 3 x + 9$
20352	Solve for x in Degrees	5sin(x)tan(x)-4tan(x)=0	$5 \sin (x) \tan (x) - 4 \tan (x) = 0$
20353	Simplify	(4a^3-8a^2+a)(4a)^-1	$(4 a^{3} - 8 a^{2} + a) {(4 a)}^{- 1}$
20354	Simplify	(3x^3y^4-9x^5y^6+6x^3y^3)/(6x^3y^2)	$\frac{3 x^{3} y^{4} - 9 x^{5} y^{6} + 6 x^{3} y^{3}}{6 x^{3} y^{2}}$
20355	Evaluate	2^x=1/2	$2^{x} = \frac{1}{2}$
20356	Evaluate	((202^4-122^3-48*2^2)^2)/((-8)^3)	$\frac{{(20 \cdot 2^{4} - 12 \cdot 2^{3} - 48 \cdot 2^{2})}^{2}}{{(- 8)}^{3}}$
20357	Find the Holes in the Graph	f(x)=((x-1)(x+3))/((x+1)(x-1))	$f (x) = \frac{(x - 1) (x + 3)}{(x + 1) (x - 1)}$
20358	Simplify	2/3i*3/7i	$\frac{2}{3} i \cdot \frac{3}{7} i$
20359	Expand Using Sum/Difference Formulas	cos(a-B)+cos(a+B)	$\cos (a - B) + \cos (a + B)$
20360	Solve for x	(3x-8)/6=(2x)/10	$\frac{3 x - 8}{6} = \frac{2 x}{10}$
20361	Solve for x	10/16=15/(6x)	$\frac{10}{16} = \frac{15}{6 x}$
20362	Simplify	(2^2a^5b^3)^2	${(2^{2} a^{5} b^{3})}^{2}$
20363	Find the GCF	18x^6 and 12x^3	$18 x^{6}$ and $12 x^{3}$
20364	Convert to a Decimal	4rev per s	$4$ revolutions per second
20365	Write in Standard Form	9a^3b^6(3a^3b^2+7a^2b^2)-(5a^4b^4)^2	$9 a^{3} b^{6} (3 a^{3} b^{2} + 7 a^{2} b^{2}) - {(5 a^{4} b^{4})}^{2}$
20366	Find the Equation Using Two Points	f(-9)=10 and f(-1)=-2	$f (- 9) = 10$ and $f (- 1) = - 2$
20367	Find Where Increasing/Decreasing	f(x)=2(1/3)^x-1	$f (x) = 2 {(\frac{1}{3})}^{x} - 1$
20368	Find the Roots (Zeros)	9x^4-18x^3+27x^2=0	$9 x^{4} - 18 x^{3} + 27 x^{2} = 0$
20369	Evaluate the Limit	limit as x approaches -2 of 2/(x+2)-(x-6)/(x^2-4)	$lim_{x \to - 2} \frac{2}{x + 2} - \frac{x - 6}{x^{2} - 4}$
20370	Solve the Inequality for x	log of x> = log of 2x-1- log of 3	$\log (x) \geq \log (2 x - 1) - \log (3)$
20371	Find the GCF	1/3xy+2/3y	$\frac{1}{3} x y + \frac{2}{3} y$
20372	Find the Maximum/Minimum Value	f(x)=ax^2+7x-3	$f (x) = a x^{2} + 7 x - 3$
20373	Find the Domain and Range	f(x)=sec(x)+1/2	$f (x) = \sec (x) + \frac{1}{2}$
20374	Write in Standard Form	x^2-36y^2-20x+64=0	$x^{2} - 36 y^{2} - 20 x + 64 = 0$
20375	Find All Complex Solutions	2sin(x)^2=1	$2 \sin^{2} (x) = 1$
20376	Simplify	10/(3/(1/6))-(2.8+1.2)	$\frac{10}{\frac{3}{\frac{1}{6}}} - (2.8 + 1.2)$
20377	Simplify	(2 square root of 3)/(4 square root of 3)	$\frac{2 \sqrt{3}}{4 \sqrt{3}}$
20378	Simplify	((x+8)/(x^2+11x+24)*(x-5)/(6x^2+12x))÷((x^2-4x-5)/(x^2+4x+3))	$\frac{x + 8}{x^{2} + 11 x + 24} \cdot \frac{x - 5}{6 x^{2} + 12 x} \div \frac{x^{2} - 4 x - 5}{x^{2} + 4 x + 3}$
20379	Evaluate the Integral	integral of -2(5x+1)e^(25x^2+10x+25) with respect to x	$\int - 2 (5 x + 1) e^{25 x^{2} + 10 x + 25} d x$
20380	Combine Like Terms	12x+x-3x+7+2	$12 x + x - 3 x + 7 + 2$
20381	Evaluate the Function	f(x)=x^3+9x^2+x+4 at x=0	$f (x) = x^{3} + 9 x^{2} + x + 4$ at $x = 0$
20382	Solve for y	10x+5y=5x+20 for y	$10 x + 5 y = 5 x + 20$ for $y$
20383	Find the Third Term	a_n=2(3)^n	$a_{n} = 2 {(3)}^{n}$
20384	Solve for x	square root of x+10-9=-7	$\sqrt{x + 10 - 9} = - 7$
20385	Simplify	(3x^4+5x^3)+(4x^3-9x+8x^4)	$(3 x^{4} + 5 x^{3}) + (4 x^{3} - 9 x + 8 x^{4})$
20386	Find the Derivative - d/dx	2cos(x^2+2)^2	$2 \cos^{2} (x^{2} + 2)$
20387	Simplify	5/(3x^3)-5/2	$\frac{5}{3 x^{3}} - \frac{5}{2}$
20388	Simplify	x^-28*7^-56	$x^{- 28} \cdot 7^{- 56}$
20389	Simplify	( square root of 7^3)/( square root of 7)	$\frac{\sqrt{7^{3}}}{\sqrt{7}}$
20390	Simplify	(6+zi)(4+i)-(6+zi)(4-5i)	$(6 + z i) (4 + i) - (6 + z i) (4 - 5 i)$
20391	Find dy/dx	-x^3y+x^2=4y^2	$- x^{3} y + x^{2} = 4 y^{2}$
20392	Solve the Rational Equation for x	-5/(x(x-1))=(x+5)/x	$- \frac{5}{x (x - 1)} = \frac{x + 5}{x}$
20393	Find the Exact Value	sec(pi/3)+9csc(pi/6)	$\sec (\frac{π}{3}) + 9 \csc (\frac{π}{6})$
20394	Solve for x	2((2x+3)/(x-3))-25(x-3)/(2x+3)=5	$2 (\frac{2 x + 3}{x - 3}) - 25 \frac{x - 3}{2 x + 3} = 5$
20395	Solve for y	(x^y)/(x^3)=x^6	$\frac{x^{y}}{x^{3}} = x^{6}$
20396	Find the Roots (Zeros)	x^4-3x^3+x^2-3x	$x^{4} - 3 x^{3} + x^{2} - 3 x$
20397	Write in Slope-Intercept Form	y+5=0	$y + 5 = 0$
20398	Solve for A	A=(1/4)^(-(1/4)^-1)+(1/5)^(-(1/2)^-1)+(-1)^3456	$A = {(\frac{1}{4})}^{- {(\frac{1}{4})}^{- 1}} + {(\frac{1}{5})}^{- {(\frac{1}{2})}^{- 1}} + {(- 1)}^{3456}$
20399	Simplify	-3 cube root of 2h^2(-4 cube root of 4h^4)	$- 3 \sqrt[3]{2 h^{2}} (- 4 \sqrt[3]{4 h^{4}})$
20400	Evaluate	2x(-2x-3)	$2 x (- 2 x - 3)$