Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26501	Factor	4x(5x^2+8)+7(5x^2+8)	$4 x (5 x^{2} + 8) + 7 (5 x^{2} + 8)$
26502	Find the Exact Value	9+4-3	$9 + 4 - 3$
26503	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (-3,7) and has a slope of -3 ?	What is the equation of the line that passes through the point $(- 3, 7)$ and has a slope of $- 3$ ?
26504	Find the Exact Value	sin(630 degrees )	$\sin (630 °)$
26505	Find the Derivative - d/dx	y=5x-4 square root of x	$y = 5 x - 4 \sqrt{x}$
26506	Find dy/dx	-y-2-2x^2=y^3	$- y - 2 - 2 x^{2} = y^{3}$
26507	Find the Quotient	(x^3+2x^2-1)÷(x^2+x+1)	$(x^{3} + 2 x^{2} - 1) \div (x^{2} + x + 1)$
26508	Find Where Increasing/Decreasing	f(x)=4x^3	$f (x) = 4 x^{3}$
26509	Simplify	((x-1)^3-1)^3	${({(x - 1)}^{3} - 1)}^{3}$
26510	Simplify	( square root of 8x)(5 square root of 2x)	$(\sqrt{8 x}) (5 \sqrt{2 x})$
26511	Simplify the Radical Expression	fourth root of 16x	$\sqrt[4]{16 x}$
26512	Evaluate	log of x+2+ log of x-2=1- log of 2	$\log (x + 2) + \log (x - 2) = 1 - \log (2)$
26513	Solve for x	2.1(2.3+2.1x)=11.65+x	$2.1 (2.3 + 2.1 x) = 11.65 + x$
26514	Simplify	((6x+9)/(15x^2))/((16x-12)/(10x^4))	$\frac{\frac{6 x + 9}{15 x^{2}}}{\frac{16 x - 12}{10 x^{4}}}$
26515	Evaluate	(5+3I)+(2-8I)	$(5 + 3 I) + (2 - 8 I)$
26516	Simplify	(1+ square root of 7x)^2	${(1 + \sqrt{7 x})}^{2}$
26517	Find the Derivative - d/dx	-(x+1)sin((x^2)/2)	$- (x + 1) \sin (\frac{x^{2}}{2})$
26518	Divide Using Synthetic Division	Use synthetic division to find the result when 3x^4+8x^3+5x^2+8x+12 is divided by x+2	Use synthetic division to find the result when $3 x^{4} + 8 x^{3} + 5 x^{2} + 8 x + 12$ is divided by $x + 2$
26519	Solve for h	t=2rpih+2pir^2	$t = 2 r π h + 2 π r^{2}$
26520	Convert to a Decimal	cos(0)deg	$\cos (0)$ degrees
26521	Find the Derivative - d/dy	natural log of square root of x^2+y^2	$\ln (\sqrt{x^{2} + y^{2}})$
26522	Solve for k	natural log of k = natural log of A-E_a/(RT)	$\ln (k) = \ln (A) - \frac{E_{a}}{R T}$
26523	Solve the Inequality for x	-3<3/4x	$- 3 < \frac{3}{4} x$
26524	Simplify	(9x^3 square root of 12)/(8 square root of 20x)	$\frac{9 x^{3} \sqrt{12}}{8 \sqrt{20 x}}$
26525	Find dy/dx	xy-y-5-2x^3=0	$x y - y - 5 - 2 x^{3} = 0$
26526	Solve for x	square root of 12-x+10x=11x	$\sqrt{12 - x} + 10 x = 11 x$
26527	Find the Complex Conjugate	(5+ square root of 7)	$(5 + \sqrt{7})$
26528	Simplify	2/(2pi)	$\frac{2}{2 π}$
26529	Solve the Inequality for r	9>-r	$9 > - r$
26530	Solve for y	4(5+y)-6(2+y)=4	$4 (5 + y) - 6 (2 + y) = 4$
26531	Evaluate	((2-(-4))^2)÷(1+3)	${(2 - (- 4))}^{2} \div (1 + 3)$
26532	Simplify	2 cube root of 16+ cube root of 54-5 cube root of 128	$2 \sqrt[3]{16} + \sqrt[3]{54} - 5 \sqrt[3]{128}$
26533	Solve for n	0.5% of what number is 12 ?	$0.5 %$ of what number is $12$ ?
26534	Simplify the Radical Expression	fifth root of cube root of 8c^2	$\sqrt[5]{\sqrt[3]{8 c^{2}}}$
26535	Find the GCF	8xy and 12x	$8 x y$ and $12 x$
26536	Divide Using Long Polynomial Division	Use the long division method to find the result when 9x^3+30x^2+24x+5 is divided by 3x+1	Use the long division method to find the result when $9 x^{3} + 30 x^{2} + 24 x + 5$ is divided by $3 x + 1$
26537	Divide	( square root of 3)÷( square root of 3)	$\sqrt{3} \div \sqrt{3}$
26538	Solve for z	-6(17z+16)=9(-11z-10)+3z	$- 6 (17 z + 16) = 9 (- 11 z - 10) + 3 z$
26539	Solve the Rational Equation for y	square root of y=10	$\sqrt{y} = 10$
26540	Simplify the Radical Expression	square root of x^2-8x+16	$\sqrt{x^{2} - 8 x + 16}$
26541	Find the Excluded Values	(a^2m+4m)/(a^2+4)	$\frac{a^{2} m + 4 m}{a^{2} + 4}$
26542	Solve for a	(b^2)^a=b^8	${(b^{2})}^{a} = b^{8}$
26543	Subtract	(8.3x^2+0.9xy+3.6)-(7.4x^2-1.7xy+6.4)	$(8.3 x^{2} + 0.9 x y + 3.6) - (7.4 x^{2} - 1.7 x y + 6.4)$
26544	Simplify	( square root of 10x^4)/( square root of 20x^2)	$\frac{\sqrt{10 x^{4}}}{\sqrt{20 x^{2}}}$
26545	Find the Roots (Zeros)	0=x^3-3x-52	$0 = x^{3} - 3 x - 52$
26546	Simplify	(3e^(x+h)-3e^x)/h	$\frac{3 e^{x + h} - 3 e^{x}}{h}$
26547	Find the Antiderivative	(2x+1)/(2x-3)	$\frac{2 x + 1}{2 x - 3}$
26548	Simplify	(2a^3b^3+10ab^3)-(-14ab^3+9ab^4-12a^3b^3)+(6ab^4-5a^3b^3)	$(2 a^{3} b^{3} + 10 a b^{3}) - (- 14 a b^{3} + 9 a b^{4} - 12 a^{3} b^{3}) + (6 a b^{4} - 5 a^{3} b^{3})$
26549	Solve for x	square root of 2x = square root of x+7-1	$\sqrt{2 x} = \sqrt{x + 7} - 1$
26550	Find dx/dy	(xy)^x=e	${(x y)}^{x} = e$
26551	Solve for x	3(x+2)+x=2x+16	$3 (x + 2) + x = 2 x + 16$
26552	Evaluate the Integral	integral of 2/(3 cube root of x) with respect to x	$\int \frac{2}{3 \sqrt[3]{x}} d x$
26553	Find the Quadrant of the Angle	(-3pi)/2	$\frac{- 3 π}{2}$
26554	Simplify	4xy^2*0^4(-y)^-3	$4 x y^{2} \cdot 0^{4} {(- y)}^{- 3}$
26555	Simplify	x/(x/y)	$\frac{x}{\frac{x}{y}}$
26556	Find the Domain and Range	x^4+2x^2+1	$x^{4} + 2 x^{2} + 1$
26557	Simplify the Radical Expression	square root of 14xy* square root of 12* square root of 30y	$\sqrt{14 x y} \cdot \sqrt{12} \cdot \sqrt{30 y}$
26558	Divide Using Synthetic Division	6x^3-10x^2+20 by x+1	$6 x^{3} - 10 x^{2} + 20$ by $x + 1$
26559	Evaluate	1/18(9)^1	$\frac{1}{18} {(9)}^{1}$
26560	Evaluate	cube root of 4* square root of 8	$\sqrt[3]{4} \cdot \sqrt{8}$
26561	Find the Domain and Range	f(x)=2 log of 5(x+4)-6	$f (x) = 2 \log (5) (x + 4) - 6$
26562	Multiply	4 square root of 2x*3 square root of 8x	$4 \sqrt{2 x} \cdot 3 \sqrt{8 x}$
26563	Convert to Trigonometric Form	cos(x)+sin(x)tan(x)	$\cos (x) + \sin (x) \tan (x)$
26564	Convert to a Decimal	tan(330)deg	$\tan (330)$ degrees
26565	Find the LCD	5/(4x+4) and 7/(2x)	$\frac{5}{4 x + 4}$ and $\frac{7}{2 x}$
26566	Evaluate	((3^-6)/(3^0))^-3	${(\frac{3^{- 6}}{3^{0}})}^{- 3}$
26567	Evaluate	(5(16)^(1/4))/4	$\frac{5 {(16)}^{\frac{1}{4}}}{4}$
26568	Simplify	(3f^4g^-3)^3(f^2g^-2)^-1	${(3 f^{4} g^{- 3})}^{3} {(f^{2} g^{- 2})}^{- 1}$
26569	Find the Inverse	f(x) = cube root of x^7+10-9	$f (x) = \sqrt[3]{x^{7} + 10} - 9$
26570	Solve for p	s=ph+2b	$s = p h + 2 b$
26571	Find the Equation with a Point and Slope	What is the equation of the line that passes through the point (5,-6) and has a slope of -3/5 ?	What is the equation of the line that passes through the point $(5, - 6)$ and has a slope of $- \frac{3}{5}$ ?
26572	Simplify	(2(x+3))/(x(x-1))*(4x(x+2))/(10(x+3))	$\frac{2 (x + 3)}{x (x - 1)} \cdot \frac{4 x (x + 2)}{10 (x + 3)}$
26573	Find the Second Derivative	x+3(1-x)^(1/3)	$x + 3 {(1 - x)}^{\frac{1}{3}}$
26574	Solve for x	-(3x+6)=-7(1/2x+1/2)+5/4x	$- (3 x + 6) = - 7 (\frac{1}{2} x + \frac{1}{2}) + \frac{5}{4} x$
26575	Write in Standard Form	(-3i)(10i)	$(- 3 i) (10 i)$
26576	Graph	f(x)=(-2x^2+32)/(3x-12)	$f (x) = \frac{- 2 x^{2} + 32}{3 x - 12}$
26577	Solve for x	19=-4+2/5x+10	$19 = - 4 + \frac{2}{5} x + 10$
26578	Find Amplitude, Period, and Phase Shift	y=3cos((2x)/3+3pi)	$y = 3 \cos (\frac{2 x}{3} + 3 π)$
26579	Multiply	(q-3/4)(q+1/4)	$(q - \frac{3}{4}) (q + \frac{1}{4})$
26580	Simplify	3/4-1/2+2/3-1/6	$\frac{3}{4} - \frac{1}{2} + \frac{2}{3} - \frac{1}{6}$
26581	Find the Slope	(-7,-4) and (0,-2)	$(- 7, - 4)$ and $(0, - 2)$
26582	Graph	f(x)=x^2+2xy+y^2	$f (x) = x^{2} + 2 x y + y^{2}$
26583	Find dy/dx	x^2+y^2=y	$x^{2} + y^{2} = y$
26584	Write as a Function of Q	6Q=14-2P	$6 Q = 14 - 2 P$
26585	Evaluate	Evaluate 6^-8*6^5	Evaluate $6^{- 8} \cdot 6^{5}$
26586	Simplify	2!	$2!$
26587	Solve for d	-96d-7(-29d-1)=100d	$- 96 d - 7 (- 29 d - 1) = 100 d$
26588	Factor by Grouping	ax+ay-x-y	$a x + a y - x - y$
26589	Simplify	((4x^3-16x^2-180x)/(2x^2+10x)*(25-x^2)/(x^2-25))÷((9-x)/(-3x))	$\frac{4 x^{3} - 16 x^{2} - 180 x}{2 x^{2} + 10 x} \cdot \frac{25 - x^{2}}{x^{2} - 25} \div \frac{9 - x}{- 3 x}$
26590	Evaluate the Integral	integral of 9x^2 square root of x^3-1 with respect to x	$\int 9 x^{2} \sqrt{x^{3} - 1} d x$
26591	Find the Derivative - d/dx	1+1/(2 square root of x+1)	$1 + \frac{1}{2 \sqrt{x + 1}}$
26592	Evaluate the Limit	limit as x approaches 12 of (12-x)/(4x-48)	$lim_{x \to 12} \frac{12 - x}{4 x - 48}$
26593	Find the Derivative - d/dx	d/(dx)(-sin(-x))	$\frac{d}{d x} (- \sin (- x))$
26594	Simplify	((p^-3q^-2)/(q^-3r^5))^4	${(\frac{p^{- 3} q^{- 2}}{q^{- 3} r^{5}})}^{4}$
26595	Simplify	(-4^-5)/(2^-3)	$\frac{- 4^{- 5}}{2^{- 3}}$
26596	Evaluate	-7(4(9-1))	$- 7 (4 (9 - 1))$
26597	Find the Other Trig Values in Quadrant IV	cot(theta)=- square root of 3	$\cot (θ) = - \sqrt{3}$
26598	Find the Tangent Given the Point	(1/5,-(2 square root of 6)/5)	$(\frac{1}{5}, - \frac{2 \sqrt{6}}{5})$
26599	Graph	x+y<3 -5x+2y<=10	$x + y < 3$ $- 5 x + 2 y \leq 10$
26600	Simplify	(1-cos(theta))(1+cos(theta))(1+cot(theta)^2)	$(1 - \cos (θ)) (1 + \cos (θ)) (1 + \cot^{2} (θ))$