Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
9201	Simplify	(3x^2y^4)^3*2x^2y^2	${(3 x^{2} y^{4})}^{3} \cdot 2 x^{2} y^{2}$
9202	Simplify	2(3-b)+5(b-3)^2	$2 (3 - b) + 5 {(b - 3)}^{2}$
9203	Evaluate	4 log base 2 of 16+5 log base 2 of 1/32+ log base 5 of square root of 5	$4 \log_{2} (16) + 5 \log_{2} (\frac{1}{32}) + \log_{5} (\sqrt{5})$
9204	Simplify	-6n^2*2m^-5	$- 6 n^{2} \cdot 2 m^{- 5}$
9205	Solve for x	0.7(x-10)+0.5=1-0.6(20-2x)-0.5	$0.7 (x - 10) + 0.5 = 1 - 0.6 (20 - 2 x) - 0.5$
9206	Determine if a Polynomial	(w^5)/8-8w	$\frac{w^{5}}{8} - 8 w$
9207	Find the Concavity	f(x)=1/10x^5+2x^4+12x^3	$f (x) = \frac{1}{10} x^{5} + 2 x^{4} + 12 x^{3}$
9208	Multiply	(10a^4)/(a^2-9)*(a^2-3a)/(15a^2)	$\frac{10 a^{4}}{a^{2} - 9} \cdot \frac{a^{2} - 3 a}{15 a^{2}}$
9209	Solve for x	(4x)/9-25=-x/4	$\frac{4 x}{9} - 25 = - \frac{x}{4}$
9210	Simplify	(3 cube root of 6x^2)/(3 cube root of 5y)	$\frac{3 \sqrt[3]{6 x^{2}}}{3 \sqrt[3]{5 y}}$
9211	Solve the Rational Equation for x	1/(x-4)-2/(x+5)=(2x-1)/(x^2+x-20)	$\frac{1}{x - 4} - \frac{2}{x + 5} = \frac{2 x - 1}{x^{2} + x - 20}$
9212	Find Amplitude, Period, and Phase Shift	f(x)=-2cos(2x+pi/2)-1	$f (x) = - 2 \cos (2 x + \frac{π}{2}) - 1$
9213	Find the Degree, Leading Term, and Leading Coefficient	f(x)=10x^2+2x-9x^3	$f (x) = 10 x^{2} + 2 x - 9 x^{3}$
9214	Solve for x	8^(-x/3)=4	$8^{- \frac{x}{3}} = 4$
9215	Solve for y	limit as x approaches 1 of (2x+y)/(x+1)=5	$lim_{x \to 1} \frac{2 x + y}{x + 1} = 5$
9216	Solve for x	\|2x+5\|=\|-2x+1\|	$\| 2 x + 5 \| = \| - 2 x + 1 \|$
9217	Simplify	Find the sum of 4x^2-7 and 6x^2-5	Find the sum of $4 x^{2} - 7$ and $6 x^{2} - 5$
9218	Solve for c	square root of 5c+1-10=-6	$\sqrt{5 c + 1} - 10 = - 6$
9219	Simplify	i^40i^13i^37	$i^{40} \cdot i^{13} \cdot i^{37}$
9220	Multiply	(x^2-1)*(1/(x-1)-1/(x+1)+1)	$(x^{2} - 1) \cdot (\frac{1}{x - 1} - \frac{1}{x + 1} + 1)$
9221	Simplify	((36a^5)/(4a^4b^5))^-2	${(\frac{36 a^{5}}{4 a^{4} b^{5}})}^{- 2}$
9222	Simplify	(x^2-36)/(42x-7x^2)	$\frac{x^{2} - 36}{42 x - 7 x^{2}}$
9223	Simplify	3/(x+7)-(x-8)/(x^2+9x+14)	$\frac{3}{x + 7} - \frac{x - 8}{x^{2} + 9 x + 14}$
9224	Find the Square Roots of a Complex Number	8(cos(pi/2)+isin(pi/2))	$8 (\cos (\frac{π}{2}) + i \sin (\frac{π}{2}))$
9225	Solve for x	x^4=16i	$x^{4} = 16 i$
9226	Simplify	cube root of 3x^3y^2* cube root of 9xy^2	$\sqrt[3]{3 x^{3} y^{2}} \cdot \sqrt[3]{9 x y^{2}}$
9227	Solve the Inequality for z	square root of z+5+4<=13	$\sqrt{z + 5} + 4 \leq 13$
9228	Evaluate the Integral	integral of 2xe^(-2x) with respect to x	$\int 2 x e^{- 2 x} d x$
9229	Write the Fraction in Simplest Form	(-6y^4)/((-2y^-5)^5)	$\frac{- 6 y^{4}}{{(- 2 y^{- 5})}^{5}}$
9230	Graph	-8y^2+2=x	$- 8 y^{2} + 2 = x$
9231	Graph	y=x+8 2x+y=-4	$y = x + 8$ $2 x + y = - 4$
9232	Simplify	i^9i^10i^19*i^24	$i^{9} \cdot i^{10} \cdot i^{19} \cdot i^{24}$
9233	Graph	m=3 and (0,-6)	$m = 3$ and $(0, - 6)$
9234	Evaluate	(x-2)^(1/2)-(28-2x)^(1/4)=0	${(x - 2)}^{\frac{1}{2}} - {(28 - 2 x)}^{\frac{1}{4}} = 0$
9235	Write in Standard Form	1/2x^2+3x-4x^3+6x^4-1	$\frac{1}{2} x^{2} + 3 x - 4 x^{3} + 6 x^{4} - 1$
9236	Solve for x	(x+5)/(x+6)+1/(x-6)=(2x)/(x^2-36)	$\frac{x + 5}{x + 6} + \frac{1}{x - 6} = \frac{2 x}{x^{2} - 36}$
9237	Simplify	(x-2y)/(xy^2)-(2y-x)/(x^2y)	$\frac{x - 2 y}{x y^{2}} - \frac{2 y - x}{x^{2} y}$
9238	Determine if a Polynomial	- square root of 2	$- \sqrt{2}$
9239	Simplify the Radical Expression	-4 square root of 3+ square root of 3	$- 4 \sqrt{3} + \sqrt{3}$
9240	Factor by Grouping	x^4-3x^3-x^2+3x	$x^{4} - 3 x^{3} - x^{2} + 3 x$
9241	Simplify	(3x)/(x-6)+(6x)/(4x-24)	$\frac{3 x}{x - 6} + \frac{6 x}{4 x - 24}$
9242	Find the Derivative - d/dx	y = square root of 5-2e^(3x)	$y = \sqrt{5 - 2 e^{3 x}}$
9243	Solve the Absolute Value Inequality for w	\|5w+8\|=\|5w+7\|	$\| 5 w + 8 \| = \| 5 w + 7 \|$
9244	Write as a Single Logarithm	2 log base b of u+3 log base b of v-1/2 log base b of w	$2 \log_{b} (u) + 3 \log_{b} (v) - \frac{1}{2} \log_{b} (w)$
9245	Simplify	(x+2)/3+4x	$\frac{x + 2}{3} + 4 x$
9246	Solve for x	1=(3+x)^(1/2)	$1 = {(3 + x)}^{\frac{1}{2}}$
9247	Simplify	(3x-1)(4x+3)(x-1)	$(3 x - 1) (4 x + 3) (x - 1)$
9248	Find the Exact Value	cos(pi/4)-cos(pi/4)	$\cos (\frac{π}{4}) - \cos (\frac{π}{4})$
9249	Evaluate Using the Given Value	x+5 if x=4	$x + 5$ if $x = 4$
9250	Simplify	3-(2x-(1-(x+y))+(x-2y))	$3 - (2 x - (1 - (x + y)) + (x - 2 y))$
9251	Simplify	square root of 6x^4*5 square root of 8x^5	$\sqrt{6 x^{4}} \cdot 5 \sqrt{8 x^{5}}$
9252	Evaluate	1/( log base 2 of 30)+1/( log base 3 of 30)+1/( log base 5 of 30)	$\frac{1}{\log_{2} (30)} + \frac{1}{\log_{3} (30)} + \frac{1}{\log_{5} (30)}$
9253	Solve for x	4(x-2)^2+320=0	$4 {(x - 2)}^{2} + 320 = 0$
9254	Simplify the Radical Expression	square root of 2^4	$\sqrt{2^{4}}$
9255	Find the Roots (Zeros)	x^4-5x^3+3x^2+x	$x^{4} - 5 x^{3} + 3 x^{2} + x$
9256	Solve the Rational Equation for X	3 square root of X=5	$3 \sqrt{X} = 5$
9257	Simplify	(x^0y^2)/((xy^4)^-3)	$\frac{x^{0} y^{2}}{{(x y^{4})}^{- 3}}$
9258	Find the Roots (Zeros)	square root of x^2=3	$\sqrt{x^{2}} = 3$
9259	Solve the Inequality for r	(\|3+r\|)/7<=5	$\frac{\| 3 + r \|}{7} \leq 5$
9260	Graph	f(x)=-x^6+x^5-5x^4-x^3+3x^2-x	$f (x) = - x^{6} + x^{5} - 5 x^{4} - x^{3} + 3 x^{2} - x$
9261	Identify the Zeros and Their Multiplicities	f(x)=-x^4-9x^3-24x^2-16x	$f (x) = - x^{4} - 9 x^{3} - 24 x^{2} - 16 x$
9262	Solve for x	1/4(x-2)=3/5x+1/2	$\frac{1}{4} (x - 2) = \frac{3}{5} x + \frac{1}{2}$
9263	Solve for r	5r-11s=k	$5 r - 11 s = k$
9264	Find the Vertex Form	x=-1/2y^2-4y-7	$x = - \frac{1}{2} y^{2} - 4 y - 7$
9265	Solve for x	5/(x-3)+8/(3x+5)=2/(4x-12)	$\frac{5}{x - 3} + \frac{8}{3 x + 5} = \frac{2}{4 x - 12}$
9266	Convert to Radical Form	(125)^(-1/3)	${(125)}^{\frac{- 1}{3}}$
9267	Find the x and y Intercepts	f(x)=x^3-4x^2+x+6	$f (x) = x^{3} - 4 x^{2} + x + 6$
9268	Solve the System of Equations	y=x-5 2x+y=-2	$y = x - 5$ $2 x + y = - 2$
9269	Factor	kn-mn-n^2+mk	$k n - m n - n^{2} + m k$
9270	Simplify	(4x+3/4)+(-3x-5/12)	$(4 x + \frac{3}{4}) + (- 3 x - \frac{5}{12})$
9271	Simplify	(-3)(-1/5x)(-25)	$(- 3) (- \frac{1}{5} x) (- 25)$
9272	Simplify	x^0+y^0+z^0	$x^{0} + y^{0} + z^{0}$
9273	Evaluate the Integral	integral from 0 to infinity of x^2e^(-x^3) with respect to x	$\int_{0}^{\infty} x^{2} e^{- x^{3}} d x$
9274	Solve for r	cube root of 7r+2 = cube root of 9r-24	$\sqrt[3]{7 r + 2} = \sqrt[3]{9 r - 24}$
9275	Solve for t	2cos(3t)=-1	$2 \cos (3 t) = - 1$
9276	Solve for x	x-3=2x-3-x	$x - 3 = 2 x - 3 - x$
9277	Multiply	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
9278	Factor	-1/2(32x-40)+(20x-4)	$- \frac{1}{2} (32 x - 40) + (20 x - 4)$
9279	Simplify	( square root of 8- square root of 3)/( square root of 6-2)	$\frac{\sqrt{8} - \sqrt{3}}{\sqrt{6} - 2}$
9280	Simplify	cube root of (x^2)/(9y)	$\sqrt[3]{\frac{x^{2}}{9 y}}$
9281	Solve for x	(12+2x)/2=13	$\frac{12 + 2 x}{2} = 13$
9282	Solve by Factoring	10x^2+15x-9=2x^2+x-14	$10 x^{2} + 15 x - 9 = 2 x^{2} + x - 14$
9283	Simplify	(x^(3/2)y^(-1/4))/(x^(3/4)y^(3/4))	$\frac{x^{\frac{3}{2}} y^{- \frac{1}{4}}}{x^{\frac{3}{4}} y^{\frac{3}{4}}}$
9284	Simplify the Radical Expression	-1/(3 square root of 2)	$- \frac{1}{3 \sqrt{2}}$
9285	Solve the Inequality for m	-7/8<=m-13/8	$- \frac{7}{8} \leq m - \frac{13}{8}$
9286	Solve for x	64=4*4^(4x)	$64 = 4 \cdot 4^{4 x}$
9287	Simplify	subtract -9x-7 from 8x^2-5x+9	subtract $- 9 x - 7$ from $8 x^{2} - 5 x + 9$
9288	Simplify	(1-sin(theta)^2)(1+tan(theta)^2)	$(1 - \sin^{2} (θ)) (1 + \tan^{2} (θ))$
9289	Solve for x	e^(-6x)=(e^8)^(x+14)	$e^{- 6 x} = {(e^{8})}^{x + 14}$
9290	Rationalize the Denominator	fifth root of (5m^7)/(16m^2)	$\sqrt[5]{\frac{5 m^{7}}{16 m^{2}}}$
9291	Solve for x	2(x^2-12x-4)^(1/2)-3=15	$2 {(x^{2} - 12 x - 4)}^{\frac{1}{2}} - 3 = 15$
9292	Simplify	(8xy^3*2x^3y^4)/((-7x^3y)^2-x^6y^2)	$\frac{8 x y^{3} \cdot 2 x^{3} y^{4}}{{(- 7 x^{3} y)}^{2} - x^{6} y^{2}}$
9293	Simplify	-(16^0x^9y^3)/(96x^4y^5)	$- \frac{16^{0} x^{9} y^{3}}{96 x^{4} y^{5}}$
9294	Evaluate	2/1-1^2	$\frac{2}{1} - 1^{2}$
9295	Evaluate the Integral	integral from 0 to 2 of (4x+5)e^(-x) with respect to x	$\int_{0}^{2} (4 x + 5) e^{- x} d x$
9296	Simplify	(5/7x-1/3y)(5/7x+1/3y)	$(\frac{5}{7} x - \frac{1}{3} y) (\frac{5}{7} x + \frac{1}{3} y)$
9297	Divide Using Long Polynomial Division	Use the long division method to find the result when 6x^3+11x^2+9x+2 is divided by 3x+1	Use the long division method to find the result when $6 x^{3} + 11 x^{2} + 9 x + 2$ is divided by $3 x + 1$
9298	Simplify	-2+6.45z-6+(-3.25z)	$- 2 + 6.45 z - 6 + (- 3.25 z)$
9299	Simplify	( square root of a^5)/( cube root of a^2)	$\frac{\sqrt{a^{5}}}{\sqrt[3]{a^{2}}}$
9300	Solve for H	w=Q/(H-Q)	$w = \frac{Q}{H - Q}$