Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
32201	Solve the Inequality for p	0.75p=0.4p+100	$0.75 p = 0.4 p + 100$
32202	Find the Distance Between Two Points	(x_1,y_1) and (x_2,y_2)	$(x_{1}, y_{1})$ and $(x_{2}, y_{2})$
32203	Evaluate	arccos(cos(pi/3))	$\arccos (\cos (\frac{π}{3}))$
32204	Calculate the Square Root	3 square root of 16-5	$3 \sqrt{16} - 5$
32205	Find the Roots (Zeros)	f(x)=x^4-4x^3+x^2-1	$f (x) = x^{4} - 4 x^{3} + x^{2} - 1$
32206	Multiply	(2x-y)(4x^2+2xy+y^2)	$(2 x - y) (4 x^{2} + 2 x y + y^{2})$
32207	Solve the System of Equations	-8x+3y=-17 and 3x-y=7	$- 8 x + 3 y = - 17$ and $3 x - y = 7$
32208	Evaluate	(3x^2y^2)/(2x^-1*4yx^2)	$\frac{3 x^{2} y^{2}}{2 x^{- 1} \cdot 4 y x^{2}}$
32209	Simplify	(3x^2y^6z^-2)/(4x^4y^3z^4)	$\frac{3 x^{2} y^{6} z^{- 2}}{4 x^{4} y^{3} z^{4}}$
32210	Divide	1÷(-( square root of 3)/2)	$1 \div (- \frac{\sqrt{3}}{2})$
32211	Simplify	(5x^4+3x^2-6x-10)+(2x^3-7x^2+6x+1)	$(5 x^{4} + 3 x^{2} - 6 x - 10) + (2 x^{3} - 7 x^{2} + 6 x + 1)$
32212	Solve the Inequality for k	2(k-5)<2k+5	$2 (k - 5) < 2 k + 5$
32213	Solve the Function Operation	Given that f(x)=x^2-5x+6 and g(x)=x-3 ; find f(x)+g(x) and express the result in standard form.	Given that $f (x) = x^{2} - 5 x + 6$ and $g (x) = x - 3$ ; find $f (x) + g (x)$ and express the result in standard form.
32214	Graph	y=1/2cos(x+pi/2)+2	$y = \frac{1}{2} \cos (x + \frac{π}{2}) + 2$
32215	Graph	x+7>=17 and x+7<19	$x + 7 \geq 17$ and $x + 7 < 19$
32216	Evaluate the Function	g(2+h)=(2+h)^2	$g (2 + h) = {(2 + h)}^{2}$
32217	Add	(-4p^2-p+9)+(p^2+3p-1)	$(- 4 p^{2} - p + 9) + (p^{2} + 3 p - 1)$
32218	Simplify the Radical Expression	square root of 3v(2 square root of 15v- square root of 6)	$\sqrt{3 v} (2 \sqrt{15 v} - \sqrt{6})$
32219	Solve the System of Inequalities	x+3y<3 x-2y>=4	$x + 3 y < 3$ $x - 2 y \geq 4$
32220	Find the Domain	(25-a^2)/(3a-15)	$\frac{25 - a^{2}}{3 a - 15}$
32221	Solve for x	-4-9x=0	$- 4 - 9 x = 0$
32222	Simplify	(-8^-2)/(5^-1cd^0)	$\frac{- 8^{- 2}}{5^{- 1} c d^{0}}$
32223	Evaluate	10% of 100	$10 %$ of $100$
32224	Write with Rational (Fractional) Exponents	eighth root of 8^3* eighth root of 8^4	$\sqrt[8]{8^{3}} \cdot \sqrt[8]{8^{4}}$
32225	Factor	x^2=5x	$x^{2} = 5 x$
32226	Solve for x	3^x=3 square root of 3	$3^{x} = 3 \sqrt{3}$
32227	Combine Like Terms	6x+2(x+4)	$6 x + 2 (x + 4)$
32228	Simplify the Radical Expression	3 square root of 24-6 square root of 32+2 square root of 54- square root of 50	$3 \sqrt{24} - 6 \sqrt{32} + 2 \sqrt{54} - \sqrt{50}$
32229	Simplify	csc(theta)^2-cot(theta)^2+tan(theta)^2	$\csc^{2} (θ) - \cot^{2} (θ) + \tan^{2} (θ)$
32230	Solve the Inequality for x	(\|2+3x\|)/2>=5	$\frac{\| 2 + 3 x \|}{2} \geq 5$
32231	Solve the Inequality for x	x+10+4x<=60	$x + 10 + 4 x \leq 60$
32232	Solve the Inequality for x	-2(3/5x+6)-1>4x	$- 2 (\frac{3}{5} x + 6) - 1 > 4 x$
32233	Simplify	1/3x^3-1/5x^3	$\frac{1}{3} x^{3} - \frac{1}{5} x^{3}$
32234	Simplify	(4a^3b-6ab+2ab^2)/(2ab)	$\frac{4 a^{3} b - 6 a b + 2 a b^{2}}{2 a b}$
32235	Simplify	5x^4x^93x	$5 x^{4} \cdot x^{9} \cdot 3 x$
32236	Graph	18>=x+8>=11	$18 \geq x + 8 \geq 11$
32237	Multiply	4x^3y(3x^2-5y)	$4 x^{3} y (3 x^{2} - 5 y)$
32238	Find the LCD	3/(x-5) and 11/(x+5)	$\frac{3}{x - 5}$ and $\frac{11}{x + 5}$
32239	Solve the Inequality for x	b(x-3)>=ax+7b	$b (x - 3) \geq a x + 7 b$
32240	Solve for x	(1/8)^(3x)=64	${(\frac{1}{8})}^{3 x} = 64$
32241	Find the Domain	f(x)=(6x^2+3)/(x-1)	$f (x) = \frac{6 x^{2} + 3}{x - 1}$
32242	Find the Antiderivative	e^x+2	$e^{x} + 2$
32243	Find the GCF	28 and 42	$28$ and $42$
32244	Multiply	( square root of 2)/2*2/( square root of 2)	$\frac{\sqrt{2}}{2} \cdot \frac{2}{\sqrt{2}}$
32245	Evaluate	3(16)^(1/2)-9	$3 {(16)}^{\frac{1}{2}} - 9$
32246	Simplify	((2x^2+4x)/(x^2-4))÷((x^2-3x+2)/(3x-6))	$\frac{2 x^{2} + 4 x}{x^{2} - 4} \div \frac{x^{2} - 3 x + 2}{3 x - 6}$
32247	Solve the Inequality for n	-3n+2>=-4n-3	$- 3 n + 2 \geq - 4 n - 3$
32248	Find the Asymptotes	y=tan(pi/2x)	$y = \tan (\frac{π}{2} x)$
32249	Evaluate Using L'Hospital's Rule	limit as x approaches -1 of (3x-9x^2)/(2 natural log of -1-2x-2)	$lim_{x \to - 1} \frac{3 x - 9 x^{2}}{2 \ln (- 1 - 2 x) - 2}$
32250	Find the Maximum/Minimum Value	y=e^x	$y = e^{x}$
32251	Find Where Increasing/Decreasing	y=x^2e^(-x)	$y = x^{2} e^{- x}$
32252	Divide Using Long Polynomial Division	(x^5-3x^2+2x)/x	$\frac{x^{5} - 3 x^{2} + 2 x}{x}$
32253	Simplify	20 root of a^10b^15c^30	$\sqrt[20]{a^{10} b^{15} c^{30}}$
32254	Simplify	(5ab)/(a^2-b^2)-(a-b)/(a+b)	$\frac{5 a b}{a^{2} - b^{2}} - \frac{a - b}{a + b}$
32255	Solve the Function Operation	Given that f(x)=x^2-6x+8 and g(x)=x-2 ; find (f*g)(x) and express the result in standard form.	Given that $f (x) = x^{2} - 6 x + 8$ and $g (x) = x - 2$ ; find $(f \cdot g) (x)$ and express the result in standard form.
32256	Write the Fraction in Simplest Form	((5y)/(y^2+4y+4))÷((20y^2)/(y^2-4))	$\frac{5 y}{y^{2} + 4 y + 4} \div \frac{20 y^{2}}{y^{2} - 4}$
32257	Simplify	9/8a+4/8a-5/8	$\frac{9}{8} a + \frac{4}{8} a - \frac{5}{8}$
32258	Divide	(15x^5-25x^3+5x^2)/(5x^4)	$\frac{15 x^{5} - 25 x^{3} + 5 x^{2}}{5 x^{4}}$
32259	Solve for X	6-2X=6X-10X+16	$6 - 2 X = 6 X - 10 X + 16$
32260	Simplify	(2+i)+(i^4+i^3)	$(2 + i) + (i^{4} + i^{3})$
32261	Multiply	fourth root of 3* fourth root of -3	$\sqrt[4]{3} \cdot \sqrt[4]{- 3}$
32262	Write as a Single Logarithm	natural log of 7-1/3 natural log of 27+ natural log of 6	$\ln (7) - \frac{1}{3} \ln (27) + \ln (6)$
32263	Expand the Logarithmic Expression	log base 7 of (11/(10^2))^4	$\log_{7} ({(\frac{11}{10^{2}})}^{4})$
32264	Solve for x	x/12=50/(6x)	$\frac{x}{12} = \frac{50}{6 x}$
32265	Solve for y	x=y^3+1	$x = y^{3} + 1$
32266	Simplify the Radical Expression	3^(1/3)*9^(1/3)	$3^{\frac{1}{3}} \cdot 9^{\frac{1}{3}}$
32267	Factor	121x^2y^6z^8-225w^4	$121 x^{2} y^{6} z^{8} - 225 w^{4}$
32268	Solve for c	3a=-b+c	$3 a = - b + c$
32269	Find the Slope	(7/8,3/4) , (5/4,-1/4)	$(\frac{7}{8}, \frac{3}{4})$ , $(\frac{5}{4}, - \frac{1}{4})$
32270	Divide	(x^2-x+5)/( square root of x)	$\frac{x^{2} - x + 5}{\sqrt{x}}$
32271	Find the GCF	10ab+5a	$10 a b + 5 a$
32272	Find the Degree, Leading Term, and Leading Coefficient	-10c^3-c^4+3c^2	$- 10 c^{3} - c^{4} + 3 c^{2}$
32273	Evaluate the Limit	limit as x approaches pi/3 of (2cos(x)^2+3cos(x)-2)/(2cos(x)-1)	$lim_{x \to \frac{π}{3}} \frac{2 \cos^{2} (x) + 3 \cos (x) - 2}{2 \cos (x) - 1}$
32274	Simplify	x/y-1/(xy)	$\frac{x}{y} - \frac{1}{x y}$
32275	Find the Roots (Zeros)	-x(x+4)(x+2/3)(x-9)	$- x (x + 4) (x + \frac{2}{3}) (x - 9)$
32276	Solve for y	\|x\|-y=2	$\| x \| - y = 2$
32277	Solve for x	(x+1)/2=(x-1)/x	$\frac{x + 1}{2} = \frac{x - 1}{x}$
32278	Factor	Factor the polynomial 3x^2-75	Factor the polynomial $3 x^{2} - 75$
32279	Simplify	6xy^3z*3x^2yz^2	$6 x y^{3} z \cdot 3 x^{2} y z^{2}$
32280	Find Amplitude, Period, and Phase Shift	y=-sin(x/2+pi/3)	$y = - \sin (\frac{x}{2} + \frac{π}{3})$
32281	Solve for m	-6m^2=-414	$- 6 m^{2} = - 414$
32282	Convert from Radians to Degrees	pi/4*180/pi	$\frac{π}{4} \cdot \frac{180}{π}$
32283	Simplify	(m+2)((m^2+3m-6)+(m^2-2m+4))	$(m + 2) ((m^{2} + 3 m - 6) + (m^{2} - 2 m + 4))$
32284	Solve the Inequality for x	-4x^2-13>11x-7	$- 4 x^{2} - 13 > 11 x - 7$
32285	Factor	3(3x+2)(2x-5)^(-1/4)+6(2x-5)^(3/4)	$3 (3 x + 2) {(2 x - 5)}^{- \frac{1}{4}} + 6 {(2 x - 5)}^{\frac{3}{4}}$
32286	Simplify	(-2^-4)/(3^-3)	$\frac{- 2^{- 4}}{3^{- 3}}$
32287	Convert to Rectangular	(2+2 square root of 3i)^6	${(2 + 2 \sqrt{3} i)}^{6}$
32288	Solve for m	4n=3m-1	$4 n = 3 m - 1$
32289	Find the GCF	21m^5n^2+6m^3n+15m^2	$21 m^{5} n^{2} + 6 m^{3} n + 15 m^{2}$
32290	Solve by Substitution	5x=15+10y 3x+7y=31	$5 x = 15 + 10 y$ $3 x + 7 y = 31$
32291	Evaluate	arctan(( square root of 3)/1)	$\arctan (\frac{\sqrt{3}}{1})$
32292	Evaluate the Integral	integral of ( cube root of x)/3 with respect to x	$\int \frac{\sqrt[3]{x}}{3} d x$
32293	Divide Using Synthetic Division	(x^3+x^2+5x)÷(x+1)	$(x^{3} + x^{2} + 5 x) \div (x + 1)$
32294	Find the Antiderivative	sin(2x)*e^(sin(x)^2)	$\sin (2 x) \cdot e^{\sin^{2} (x)}$
32295	Convert to a Percentage	what percent of 40 is 14	what percent of $40$ is $14$
32296	Simplify	5^0*(5^-5)/(5^5)	$5^{0} \cdot \frac{5^{- 5}}{5^{5}}$
32297	Simplify	8.12(x^(2/3)y^(4/5)z^(6/7))^0	$8.12 {(x^{\frac{2}{3}} y^{\frac{4}{5}} z^{\frac{6}{7}})}^{0}$
32298	Solve the System of Equations	y=3/4x+12 y=4/3x	$y = \frac{3}{4} x + 12$ $y = \frac{4}{3} x$
32299	Find the x and y Intercepts	f(x)=x(x-1)(x^2+4)(x-1)(4x+3)^2(x-3)^2	$f (x) = x (x - 1) (x^{2} + 4) (x - 1) {(4 x + 3)}^{2} {(x - 3)}^{2}$
32300	Simplify	((x^3y^2z^3)/(x^2yz^2))^-2	${(\frac{x^{3} y^{2} z^{3}}{x^{2} y z^{2}})}^{- 2}$