Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
3301	Write in Standard Form	(a+b)(3a-b)(2a+7b)	$(a + b) (3 a - b) (2 a + 7 b)$
3302	Solve for u	5u-20=-5u	$5 u - 20 = - 5 u$
3303	Find the Antiderivative	2xe^x	$2 x e^{x}$
3304	Solve for b	1.6+0.5b=0.1b	$1.6 + 0.5 b = 0.1 b$
3305	Simplify	sixth root of 64(2y+1)^18	$\sqrt[6]{64 {(2 y + 1)}^{18}}$
3306	Solve for b	square root of 2b+3-2=b	$\sqrt{2 b + 3} - 2 = b$
3307	Simplify	(2^2)/(2^-8)*2^8	$\frac{2^{2}}{2^{- 8}} \cdot 2^{8}$
3308	Simplify	(x^(1/5))(2x^(2/5))	$(x^{\frac{1}{5}}) (2 x^{\frac{2}{5}})$
3309	Simplify	(6k^2m-12k^3m^2+9m^3)/(2(km^2))	$\frac{6 k^{2} m - 12 k^{3} m^{2} + 9 m^{3}}{2 {km}^{2}}$
3310	Graph	x<2 y-x<=2	$x < 2$ $y - x \leq 2$
3311	Find the Product	square root of 13* fifth root of 13	$\sqrt{13} \cdot \sqrt[5]{13}$
3312	Graph	6x+2y>14 3x+y<=3	$6 x + 2 y > 14$ $3 x + y \leq 3$
3313	Find the Product	(x-y)^2-a(y-x)	${(x - y)}^{2} - a (y - x)$
3314	Simplify	20 root of 1/(b*b^7)	$\sqrt[20]{\frac{1}{b \cdot b^{7}}}$
3315	Graph	2x+y<=5 y+2>=-2x	$2 x + y \leq 5$ $y + 2 \geq - 2 x$
3316	Simplify	x/(2(x-5))-(3x+1)/(x-5)	$\frac{x}{2 (x - 5)} - \frac{3 x + 1}{x - 5}$
3317	Evaluate	2^0+2^-1+2	$2^{0} + 2^{- 1} + 2$
3318	Find the Maximum/Minimum Value	-3cos(6x)	$- 3 \cos (6 x)$
3319	Simplify	(-2f^3g^2h^0)/(8f^2g^2)	$\frac{- 2 f^{3} g^{2} h^{0}}{8 f^{2} g^{2}}$
3320	Solve by Graphing	2x-6y=30 y=1/3x+1	$2 x - 6 y = 30$ $y = \frac{1}{3} x + 1$
3321	Simplify	5/4+3/(4(x+2))	$\frac{5}{4} + \frac{3}{4 (x + 2)}$
3322	Solve for x	(2x+4)/(12x)=1/4	$\frac{2 x + 4}{12 x} = \frac{1}{4}$
3323	Factor by Grouping	1-1/8p^3	$1 - \frac{1}{8} p^{3}$
3324	Solve by Substitution	3x-30=y 7y-6=3x	$3 x - 30 = y$ $7 y - 6 = 3 x$
3325	Solve for g	0.3(g+2)=0.15g	$0.3 (g + 2) = 0.15 g$
3326	Simplify	((16x^3)/25)÷((4x^6)/(5x))	$\frac{16 x^{3}}{25} \div \frac{4 x^{6}}{5 x}$
3327	Graph	y>-2x-5y	$y > - 2 x - 5 y$
3328	Simplify	(a^(-m/2)b^(-n/3))^-6	${(a^{- \frac{m}{2}} b^{- \frac{n}{3}})}^{- 6}$
3329	Simplify	(x+4)/(2x)-(2x+1)/(6x)	$\frac{x + 4}{2 x} - \frac{2 x + 1}{6 x}$
3330	Simplify	(3+ square root of 3)/(4 square root of 12)	$\frac{3 + \sqrt{3}}{4 \sqrt{12}}$
3331	Convert to Polar	x^2+y^2-2ax=0	$x^{2} + y^{2} - 2 a x = 0$
3332	Find the Antiderivative	6e^(2x)+(x+1)^4	$6 e^{2 x} + {(x + 1)}^{4}$
3333	Simplify	19(2^(1/3))-6*2^(1/3)	$19 (2^{\frac{1}{3}}) - 6 \cdot 2^{\frac{1}{3}}$
3334	Simplify	(5+2 square root of 2)/(7- square root of 2)	$\frac{5 + 2 \sqrt{2}}{7 - \sqrt{2}}$
3335	Solve the System of Equations	3x+y=-5 3y+15=-9x	$3 x + y = - 5$ $3 y + 15 = - 9 x$
3336	Simplify	cube root of 2^5* square root of 2^3	$\sqrt[3]{2^{5}} \cdot \sqrt{2^{3}}$
3337	Solve for x	3/x-2=1/x	$\frac{3}{x} - 2 = \frac{1}{x}$
3338	Simplify	100^k*100^(-k)	$100^{k} \cdot 100^{- k}$
3339	Solve for x	cube root of 4x=x	$\sqrt[3]{4 x} = x$
3340	Simplify the Radical Expression	-4 square root of 192x	$- 4 \sqrt{192 x}$
3341	Evaluate the Limit	limit as x approaches 0 of (sin(2x)+5sin(3x))/x	$lim_{x \to 0} \frac{\sin (2 x) + 5 \sin (3 x)}{x}$
3342	Determine if Odd, Even, or Neither	m(x)=9x^2+4	$m (x) = 9 x^{2} + 4$
3343	Simplify	-7xy+x+y+x-3xy	$- 7 x y + x + y + x - 3 x y$
3344	Simplify	(5x^4-6+3x)+(2x+4)+(x^2-3x^4)+(6x-3x^3+3)	$(5 x^{4} - 6 + 3 x) + (2 x + 4) + (x^{2} - 3 x^{4}) + (6 x - 3 x^{3} + 3)$
3345	Graph	x+y>4 y>=3/2x-9	$x + y > 4$ $y \geq \frac{3}{2} x - 9$
3346	Solve by Factoring	x^3=3x^2	$x^{3} = 3 x^{2}$
3347	Divide	x^3-1÷(x+2)	$x^{3} - 1 \div (x + 2)$
3348	Simplify	( square root of 2- square root of 6)/( square root of 2+ square root of 6)	$\frac{\sqrt{2} - \sqrt{6}}{\sqrt{2} + \sqrt{6}}$
3349	Solve for x	square root of 2x+5 = square root of x+2+1	$\sqrt{2 x + 5} = \sqrt{x + 2} + 1$
3350	Solve the System of Equations	y=1/3x+6 y=1/6x+5	$y = \frac{1}{3} x + 6$ $y = \frac{1}{6} x + 5$
3351	Solve for m	2m+7=m+3+10	$2 m + 7 = m + 3 + 10$
3352	Graph	yy<-3/2x-1	$y \cdot y < - \frac{3}{2} x - 1$
3353	Simplify	cube root of (x^5)/(x^2)	$\sqrt[3]{\frac{x^{5}}{x^{2}}}$
3354	Evaluate	4a^3b^2*3a^-4b^-3	$4 a^{3} b^{2} \cdot 3 a^{- 4} b^{- 3}$
3355	Simplify	6(1/2+1/3)	$6 (\frac{1}{2} + \frac{1}{3})$
3356	Write in Standard Form	(1-2n)^3-7n(n^2-2)	${(1 - 2 n)}^{3} - 7 n (n^{2} - 2)$
3357	Simplify	(1/(3(x+2)))÷((5x)/(6(x+2)))	$\frac{1}{3 (x + 2)} \div \frac{5 x}{6 (x + 2)}$
3358	Evaluate the Limit	limit as x approaches infinity of (x^2)/( square root of x^2+1)	$lim_{x \to \infty} \frac{x^{2}}{\sqrt{x^{2} + 1}}$
3359	Factor	(a-b)*z+3(b-a)^2	$(a - b) \cdot z + 3 {(b - a)}^{2}$
3360	Find the Linearization at θ=0	f(theta)=sin(theta+pi/3) about theta=0	$f (θ) = \sin (θ + \frac{π}{3})$ about $θ = 0$
3361	Simplify	Simplify cos(theta)^2+cos(theta)^2*tan(theta)^2	Simplify $\cos^{2} (θ) + \cos^{2} (θ) \cdot \tan^{2} (θ)$
3362	Write as a Single Logarithm	3 log base b of 4x-( log base b of 5y+ log base b of 6z)	$3 \log_{b} (4 x) - (\log_{b} (5 y) + \log_{b} (6 z))$
3363	Find the Roots (Zeros)	f(x) = log base 9 of 2x+3+ log base 9 of x-2	$f (x) = \log_{9} (2 x + 3) + \log_{9} (x - 2)$
3364	Solve for x	(2x)/(2x+5)=4/5-6/(4x+10)	$\frac{2 x}{2 x + 5} = \frac{4}{5} - \frac{6}{4 x + 10}$
3365	Simplify	(5x)/(7x)+(10x)/(x^2)	$\frac{5 x}{7 x} + \frac{10 x}{x^{2}}$
3366	Simplify	7(63÷(5^2-2^2)-1)	$7 (63 \div (5^{2} - 2^{2}) - 1)$
3367	Solve the System of Equations	2x+y=8 x=5	$2 x + y = 8$ $x = 5$
3368	Simplify	(r^-2s^3)^2(3s)^2	${(r^{- 2} s^{3})}^{2} {(3 s)}^{2}$
3369	Find the End Behavior	f(x)=x^4-4x^3+3x^2+4x-5	$f (x) = x^{4} - 4 x^{3} + 3 x^{2} + 4 x - 5$
3370	Factor	x^4+8x^3+24x^2+32x+16	$x^{4} + 8 x^{3} + 24 x^{2} + 32 x + 16$
3371	Solve for n	2n-15=-5n+4n	$2 n - 15 = - 5 n + 4 n$
3372	Evaluate	(1/2)^2+(1/3)^2	${(\frac{1}{2})}^{2} + {(\frac{1}{3})}^{2}$
3373	Solve for y	-2/3x+y=8	$- \frac{2}{3} x + y = 8$
3374	Solve the Inequality for p	-5<3p+7<=22	$- 5 < 3 p + 7 \leq 22$
3375	Find the Product	(7x^2+x+3)(x-1)	$(7 x^{2} + x + 3) (x - 1)$
3376	Solve for x	x÷8=1.5÷2	$x \div 8 = 1.5 \div 2$
3377	Find the Derivative - d/dx	d/(dx)(arcsin(e^(5x)))	$\frac{d}{d x} (\arcsin (e^{5 x}))$
3378	Solve the Inequality for d	-2d<5	$- 2 d < 5$
3379	Simplify	Find the sum of -6x^2-1 and x+9	Find the sum of $- 6 x^{2} - 1$ and $x + 9$
3380	Find the Domain	f(x) = square root of 2x^3-5x^2-3x	$f (x) = \sqrt{2 x^{3} - 5 x^{2} - 3 x}$
3381	Evaluate the Integral	integral of (-3x-3)/( square root of x^2+2x-4) with respect to x	$\int \frac{- 3 x - 3}{\sqrt{x^{2} + 2 x - 4}} d x$
3382	Solve for w	v=lwh for w	$v = l w h$ for $w$
3383	Simplify	(y^2(y+3))/(y^6(y+3))	$\frac{y^{2} (y + 3)}{y^{6} (y + 3)}$
3384	Find the Exact Value	sin(arcsin((- square root of 2)/2))	$\sin (\arcsin (\frac{- \sqrt{2}}{2}))$
3385	Add	(8x)/(x^2-49)+5/(x^2-4x-21)	$\frac{8 x}{x^{2} - 49} + \frac{5}{x^{2} - 4 x - 21}$
3386	Simplify	5a2a(a^3-3a^2+a)	$5 a \cdot 2 a \cdot (a^{3} - 3 a^{2} + a)$
3387	Evaluate the Integral	integral of 2e^(x+5) with respect to x	$\int 2 e^{x + 5} d x$
3388	Convert to Scientific Notation	(50000.00015)/(150000.005)	$\frac{5000 \cdot 0.00015}{15000 \cdot 0.005}$
3389	Solve for b	(3+2i)+(2+bi)=5-4i	$(3 + 2 i) + (2 + b i) = 5 - 4 i$
3390	Multiply	(x-2)(3x+1)(4x-3)	$(x - 2) (3 x + 1) (4 x - 3)$
3391	Evaluate	(x^-3)(3x^-2)^-1	$(x^{- 3}) {(3 x^{- 2})}^{- 1}$
3392	Simplify the Radical Expression	cube root of 56x^5y	$\sqrt[3]{56 x^{5} y}$
3393	Solve the System of Equations	y=3/5x-1 y=2/5x	$y = \frac{3}{5} x - 1$ $y = \frac{2}{5} x$
3394	Find the Square Roots of a Complex Number	-3+4i	$- 3 + 4 i$
3395	Solve for x	(1/16)^(3x+5)=(1/64)^(x+4)	${(\frac{1}{16})}^{3 x + 5} = {(\frac{1}{64})}^{x + 4}$
3396	Simplify	(4ab^-2)/(-3c^-2)	$\frac{4 a b^{- 2}}{- 3 c^{- 2}}$
3397	Find the Fourth Roots of a Complex Number	3(cos(pi)+isin(pi))	$3 (\cos (π) + i \sin (π))$
3398	Solve for x	3(x-4)+2x=4(x-3)-x	$3 (x - 4) + 2 x = 4 (x - 3) - x$
3399	Solve for n	9n+3(1.2n+0.5)=15.6n	$9 n + 3 (1.2 n + 0.5) = 15.6 n$
3400	Graph	f(x)=1+1/2 cube root of x-2	$f (x) = 1 + \frac{1}{2} \sqrt[3]{x - 2}$