Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
6801	Solve for q	15+1-12q=-18q-14	$15 + 1 - 12 q = - 18 q - 14$
6802	Simplify	square root of x( square root of x+ square root of 3)	$\sqrt{x} (\sqrt{x} + \sqrt{3})$
6803	Solve for x	3(3+x)-5(2+x)=3	$3 (3 + x) - 5 (2 + x) = 3$
6804	Simplify	((x^-3)^2)/((x^2)^-1)	$\frac{{(x^{- 3})}^{2}}{{(x^{2})}^{- 1}}$
6805	Find the Domain	tan(x)+cot(x)=sin(x)	$\tan (x) + \cot (x) = \sin (x)$
6806	Find the Antiderivative	f(x)=2/( square root of 4x+3)-4/(x^5)	$f (x) = \frac{2}{\sqrt{4 x + 3}} - \frac{4}{x^{5}}$
6807	Solve the Inequality for h	h/9>1/4	$\frac{h}{9} > \frac{1}{4}$
6808	Simplify	x+5x+x-3x	$x + 5 x + x - 3 x$
6809	Divide Using Long Polynomial Division	(4a^2h^2-8a^3h+3a^4)÷(2a^2)	$(4 a^{2} h^{2} - 8 a^{3} h + 3 a^{4}) \div (2 a^{2})$
6810	Factor	63cd-7c^5d	$63 c d - 7 c^{5} d$
6811	Solve for x	square root of 5=5^(x+4)	$\sqrt{5} = 5^{x + 4}$
6812	Solve for s	b=(rs)/t	$b = \frac{r s}{t}$
6813	Find the Degree, Leading Term, and Leading Coefficient	f(x)=9x+4x^3+x^4+5x^2	$f (x) = 9 x + 4 x^{3} + x^{4} + 5 x^{2}$
6814	Solve by Addition/Elimination	3x-y=6 -3x+y=-6	$3 x - y = 6$ $- 3 x + y = - 6$
6815	Evaluate the Integral	integral from 0 to 3 of (2sin(x)-e^x) with respect to x	$\int_{0}^{3} (2 \sin (x) - e^{x}) d x$
6816	Find the Volume	cone (12cm)(7cm)	 $\begin{array}{r} h = & 12 cm \\ r = & 7 cm \end{array}$
6817	Solve by Substitution	-x+y=4 x+3y=4	$- x + y = 4$ $x + 3 y = 4$
6818	Evaluate	x^2y^-4*x^3y^2	$x^{2} y^{- 4} \cdot x^{3} y^{2}$
6819	Simplify the Radical Expression	square root of 17x^2	$\sqrt{17 x^{2}}$
6820	Evaluate	(2+4(6+3))/(2\|3-2(8-1)\|-2*7)	$\frac{2 + 4 (6 + 3)}{2 \| 3 - 2 (8 - 1) \| - 2 \cdot 7}$
6821	Solve for x	-2 = square root of 2x-4-x	$- 2 = \sqrt{2 x - 4} - x$
6822	Simplify	(4x^-4y^-2)/(3x^2y^3)	$\frac{4 x^{- 4} y^{- 2}}{3 x^{2} y^{3}}$
6823	Find the Other Trig Values in Quadrant II	sin(2A)=( square root of 85)/11	$\sin (2 A) = \frac{\sqrt{85}}{11}$
6824	Solve for x	(4x-1)/(x+1)=x-1	$\frac{4 x - 1}{x + 1} = x - 1$
6825	Simplify	(3x)/(2b)-(5x)/(6b)	$\frac{3 x}{2 b} - \frac{5 x}{6 b}$
6826	Solve the Inequality for x	(2x-4)/6>=-5x+2	$\frac{2 x - 4}{6} \geq - 5 x + 2$
6827	Graph	3x-y<6 3x-y>-2	$3 x - y < 6$ $3 x - y > - 2$
6828	Add	1/(1+x)+(1-x)/x	$\frac{1}{1 + x} + \frac{1 - x}{x}$
6829	Solve for R	(20-R)^(1/2)=R	${(20 - R)}^{\frac{1}{2}} = R$
6830	Solve the System of Inequalities	x<=-3 y<5/3x+2	$x \leq - 3$ $y < \frac{5}{3} x + 2$
6831	Find the Inverse	g(x)=2 cube root of x-3+4	$g (x) = 2 \sqrt[3]{x - 3} + 4$
6832	Simplify	48+(-32)+(-3)(15)	$48 + (- 32) + (- 3) (15)$
6833	Find Amplitude, Period, and Phase Shift	y=tan(theta+(2pi)/3)+2	$y = \tan (θ + \frac{2 π}{3}) + 2$
6834	Solve for x	8+(1/x-2)=88	$8 + (\frac{1}{x} - 2) = 88$
6835	Simplify	(3-3x)/(x^2-2x+1)	$\frac{3 - 3 x}{x^{2} - 2 x + 1}$
6836	Simplify	fifth root of (-y)^10	$\sqrt[5]{{(- y)}^{10}}$
6837	Find the Exact Value	arcsin((-( square root of 3)/2)^-1)	$\arcsin ({(- \frac{\sqrt{3}}{2})}^{- 1})$
6838	Solve the Function Operation	If f(x)=2x^3+5x^2-9 and g(x)=x^2-2x+3 ; find (f-g)(x)	If $f (x) = 2 x^{3} + 5 x^{2} - 9$ and $g (x) = x^{2} - 2 x + 3$ ; find $(f - g) (x)$
6839	Evaluate	4*1+3^2-6÷2	$4 \cdot 1 + 3^{2} - 6 \div 2$
6840	Solve for g	-0.5g=-3g+0.25	$- 0.5 g = - 3 g + 0.25$
6841	Simplify	(x^2+5x-34)/(x^2-9x+8)-10/(x-8)	$\frac{x^{2} + 5 x - 34}{x^{2} - 9 x + 8} - \frac{10}{x - 8}$
6842	Solve for θ in Radians	sec(theta)=2/( square root of 3)	$\sec (θ) = \frac{2}{\sqrt{3}}$
6843	Solve the Inequality for m	11+m>=15	$11 + m \geq 15$
6844	Simplify	square root of 5x+ cube root of 81x- square root of 45x- cube root of 54x	$\sqrt{5 x} + \sqrt[3]{81 x} - \sqrt{45 x} - \sqrt[3]{54 x}$
6845	Simplify	(8 square root of 12+3 square root of 18- square root of 32)÷( square root of 2)	$(8 \sqrt{12} + 3 \sqrt{18} - \sqrt{32}) \div \sqrt{2}$
6846	Solve the Function Operation	Given that f(x)=x^2+3x-40 and g(x)=x-5 ; find f(x)*g(x) and express the result in standard form.	Given that $f (x) = x^{2} + 3 x - 40$ and $g (x) = x - 5$ ; find $f (x) \cdot g (x)$ and express the result in standard form.
6847	Solve for y	log base b of b=y	$\log_{b} (b) = y$
6848	Simplify	(3 square root of 8)÷( square root of 3)	$3 \sqrt{8} \div \sqrt{3}$
6849	Write in Slope-Intercept Form	3x-4y<=0	$3 x - 4 y \leq 0$
6850	Simplify	i^6i^25i^19*i^16	$i^{6} \cdot i^{25} \cdot i^{19} \cdot i^{16}$
6851	Solve the System of Inequalities	6-x>15 or 2x-9>=3	$6 - x > 15$ or $2 x - 9 \geq 3$
6852	Find the Derivative - d/dx	y=(x-1) square root of 2x-x^2+arcsin(x-1)	$y = (x - 1) \sqrt{2 x - x^{2}} + \arcsin (x - 1)$
6853	Determine if a Polynomial	-z^3+8 square root of x	$- z^{3} + 8 \sqrt{x}$
6854	Graph	y<-2 y>2	$y < - 2$ $y > 2$
6855	Find the Domain and Range	y=-2sec(2x+pi/2)+7	$y = - 2 \sec (2 x + \frac{π}{2}) + 7$
6856	Divide	(14x^6y^3-49x^5y^9)/(-7x^4y)	$\frac{14 x^{6} y^{3} - 49 x^{5} y^{9}}{- 7 x^{4} y}$
6857	Solve for x	square root of 2x- square root of x+1=1	$\sqrt{2 x} - \sqrt{x + 1} = 1$
6858	Multiply	3(cos(pi/3)+isin(pi/3))*5(cos(pi/4)+isin(pi/4))	$3 (\cos (\frac{π}{3}) + i \sin (\frac{π}{3})) \cdot 5 (\cos (\frac{π}{4}) + i \sin (\frac{π}{4}))$
6859	Evaluate the Limit	limit as x approaches infinity of ( square root of 49x^2-4+3)/(x+3)	$lim_{x \to \infty} \frac{\sqrt{49 x^{2} - 4} + 3}{x + 3}$
6860	Write the Fraction in Simplest Form	(2sin(A)cos(A)-cos(A))/(1-sin(A)+sin(A)^2cos(A)^2)	$\frac{2 \sin (A) \cos (A) - \cos (A)}{1 - \sin (A) + \sin^{2} (A) \cos^{2} (A)}$
6861	Find the Derivative - d/dx	d/(dx)(4^(x^2))	$\frac{d}{d x} (4^{x^{2}})$
6862	Find the Other Trig Values in Quadrant IV	sin(theta)=-1	$\sin (θ) = - 1$
6863	Evaluate	6^(1/3)*6^(1/4)=6^(x/y)	$6^{\frac{1}{3}} \cdot 6^{\frac{1}{4}} = 6^{\frac{x}{y}}$
6864	Simplify	(24x^3-16x^2)-(6x^3+18x^2-14)	$(24 x^{3} - 16 x^{2}) - (6 x^{3} + 18 x^{2} - 14)$
6865	Multiply	(4ab+5c)(4ab-5c)	$(4 a b + 5 c) (4 a b - 5 c)$
6866	Solve for x	1/3x+1/2x+6=11	$\frac{1}{3} x + \frac{1}{2} x + 6 = 11$
6867	Simplify the Radical Expression	square root of 7/(3z)	$\sqrt{\frac{7}{3 z}}$
6868	Simplify	( fourth root of a^5)÷2 fourth root of a	$\sqrt[4]{a^{5}} \div 2 \sqrt[4]{a}$
6869	Write in Standard Form	x^5+2x^6-3x^4-8x+4x^3	$x^{5} + 2 x^{6} - 3 x^{4} - 8 x + 4 x^{3}$
6870	Simplify the Radical Expression	square root of 36xy^11	$\sqrt{36 x y^{11}}$
6871	Determine if a Polynomial	-7y-4z^5-6z^3x^4	$- 7 y - 4 z^{5} - 6 z^{3} x^{4}$
6872	Simplify	i^34i^15i^39	$i^{34} \cdot i^{15} \cdot i^{39}$
6873	Evaluate	4^(5x)=4^10	$4^{5 x} = 4^{10}$
6874	Solve for x	4x-1=2(x-1)+1+2x	$4 x - 1 = 2 (x - 1) + 1 + 2 x$
6875	Evaluate	-2(3/2)^1	$- 2 {(\frac{3}{2})}^{1}$
6876	Solve for x	x+1/6=4-2x	$x + \frac{1}{6} = 4 - 2 x$
6877	Simplify	(bx+3b)/(x^2-25)*((x-5)^2)/(ax+3a)	$\frac{b x + 3 b}{x^{2} - 25} \cdot \frac{{(x - 5)}^{2}}{a x + 3 a}$
6878	Simplify	(21a+18)/3+(28a-20)/4	$\frac{21 a + 18}{3} + \frac{28 a - 20}{4}$
6879	Solve for z	3 15/16=7/8(z+3)	$3 \frac{15}{16} = \frac{7}{8} (z + 3)$
6880	Simplify	(4+2 square root of 5)(3 square root of 3+4 square root of 5)	$(4 + 2 \sqrt{5}) (3 \sqrt{3} + 4 \sqrt{5})$
6881	Multiply	fourth root of 8* fourth root of 2	$\sqrt[4]{8} \cdot \sqrt[4]{2}$
6882	Solve the Inequality for m	m+4>9	$m + 4 > 9$
6883	Determine if a Polynomial	m+m^3-8m^4	$m + m^{3} - 8 m^{4}$
6884	Convert to Radical Form	(6^5)/6	$\frac{6^{5}}{6}$
6885	Simplify	(x^3+9x^2-10x)/(x^3-9x^2-10x)	$\frac{x^{3} + 9 x^{2} - 10 x}{x^{3} - 9 x^{2} - 10 x}$
6886	Simplify the Radical Expression	2 square root of x^3	$2 \sqrt{x^{3}}$
6887	Simplify	(a^2-6a)/(a-6)*(a+3)/a	$\frac{a^{2} - 6 a}{a - 6} \cdot \frac{a + 3}{a}$
6888	Simplify	i^8*i^60	$i^{8} \cdot i^{60}$
6889	Simplify	((2x)^-2)/((2x^3)^-1)	$\frac{{(2 x)}^{- 2}}{{(2 x^{3})}^{- 1}}$
6890	Simplify	(4x^3y^-1)^2	${(4 x^{3} y^{- 1})}^{2}$
6891	Simplify	square root of (64x^3y)/(2x^2)	$\sqrt{\frac{64 x^{3} y}{2 x^{2}}}$
6892	Evaluate the Integral	integral from pi/6 to pi/2 of x+cos(x) with respect to x	$\int_{\frac{π}{6}}^{\frac{π}{2}} x + \cos (x) d x$
6893	Evaluate	(x+3)^2=7	${(x + 3)}^{2} = 7$
6894	Find the Antiderivative	1/( square root of 1-x* square root of 1+x)	$\frac{1}{\sqrt{1 - x} \cdot \sqrt{1 + x}}$
6895	Simplify the Radical Expression	square root of 4/3	$\sqrt{\frac{4}{3}}$
6896	Solve the Function Operation	f(x)=(x-1)^2+3 find (f(x+2)-f(x-2))/(x-1)	$f (x) = {(x - 1)}^{2} + 3$ find $\frac{f (x + 2) - f (x - 2)}{x - 1}$
6897	Simplify	(2a^(2/3)b^(1/4))^(1/3)	${(2 a^{\frac{2}{3}} b^{\frac{1}{4}})}^{\frac{1}{3}}$
6898	Solve the Inequality for y	y+19>130	$y + 19 > 130$
6899	Find All Complex Solutions	square root of x+6=x	$\sqrt{x} + 6 = x$
6900	Simplify	(5 square root of 2x+ square root of 5)(-4 square root of 2x+ square root of 5x)	$(5 \sqrt{2 x} + \sqrt{5}) (- 4 \sqrt{2 x} + \sqrt{5 x})$