Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
42901	Simplify	square root of 11* square root of -6	$\sqrt{11} \cdot \sqrt{- 6}$
42902	Solve Using the Quadratic Formula	32=25x^2-4	$32 = 25 x^{2} - 4$
42903	Solve for x	3x-6+1=-2x-5+5x	$3 x - 6 + 1 = - 2 x - 5 + 5 x$
42904	Subtract	4-5/(4m+8)	$4 - \frac{5}{4 m + 8}$
42905	Multiply	2/3*9/4	$\frac{2}{3} \cdot \frac{9}{4}$
42906	Find the Derivative - d/dx	d/(dx)(6x)/(e^x)	$\frac{d}{d x} \cdot \frac{6 x}{e^{x}}$
42907	Find the x and y Intercepts	g(x)=(3x^2)/(x-1)	$g (x) = \frac{3 x^{2}}{x - 1}$
42908	Find the Antiderivative	f(x)=(4-5x)^4	$f (x) = {(4 - 5 x)}^{4}$
42909	Solve for x	635/72=-5/2(-11/4+x)	$\frac{635}{72} = - \frac{5}{2} (- \frac{11}{4} + x)$
42910	Solve by Substitution	y=1/3x+2 x-3y=6	$y = \frac{1}{3} x + 2$ $x - 3 y = 6$
42911	Find the Exact Value	16*4	$16 \cdot 4$
42912	Convert to Radical Form	-3 square root of 5+2 square root of 5	$- 3 \sqrt{5} + 2 \sqrt{5}$
42913	Graph	y = square root of 4+x	$y = \sqrt{4 + x}$
42914	Solve for x	(2x+6)/2-x=3	$\frac{2 x + 6}{2} - x = 3$
42915	Solve for x	8(x-x)=8	$8 (x - x) = 8$
42916	Graph	y=-x(x-1)(x+2)	$y = - x (x - 1) (x + 2)$
42917	Multiply	(10x+y^2)(10x-y^2)	$(10 x + y^{2}) (10 x - y^{2})$
42918	Solve for b	cube root of b+5=4	$\sqrt[3]{b + 5} = 4$
42919	Simplify	2x-3x-(-4x)-5x	$2 x - 3 x - (- 4 x) - 5 x$
42920	Solve for x	-2 1/2+(-5*x)=-27 1/2	$- 2 \frac{1}{2} + (- 5 \cdot x) = - 27 \frac{1}{2}$
42921	Simplify	8(3x+2y)+12x+16y	$8 (3 x + 2 y) + 12 x + 16 y$
42922	Simplify	square root of 16x^3y- square root of xy+ square root of 9xy^3	$\sqrt{16 x^{3} y} - \sqrt{x y} + \sqrt{9 x y^{3}}$
42923	Evaluate the Limit	limit as x approaches -3 of (x^3+5)/(2-3x)	$lim_{x \to - 3} \frac{x^{3} + 5}{2 - 3 x}$
42924	Write in Standard Form	(4x^2+x-2)(x^2+x+2)	$(4 x^{2} + x - 2) (x^{2} + x + 2)$
42925	Multiply	3ab^3(a+b)	$3 a b^{3} (a + b)$
42926	Convert to Interval Notation	x^2+6x+9<0	$x^{2} + 6 x + 9 < 0$
42927	Evaluate	(y^(4/3)*y^(2/3))^(-1/2)	${(y^{\frac{4}{3}} \cdot y^{\frac{2}{3}})}^{- \frac{1}{2}}$
42928	Evaluate	square root of b+6=7	$\sqrt{b + 6} = 7$
42929	Find Amplitude, Period, and Phase Shift	y=cos(3pix-(2pi)/3)	$y = \cos (3 π x - \frac{2 π}{3})$
42930	Add	(6x+4)/(2x-3)+(3x-9)/(2x-3)	$\frac{6 x + 4}{2 x - 3} + \frac{3 x - 9}{2 x - 3}$
42931	Solve for x	x-3=(5x-1)^(1/2)	$x - 3 = {(5 x - 1)}^{\frac{1}{2}}$
42932	Simplify	16w-7-5w-11+4(w-5)	$16 w - 7 - 5 w - 11 + 4 (w - 5)$
42933	Find the Average Rate of Change	f(x)=x^2 on [1,5]	$f (x) = x^{2}$ on $[1, 5]$
42934	Evaluate the Integral	integral from -1 to 4 of [3y-(y^2-4)] with respect to y	$\int_{- 1}^{4} [3 y - (y^{2} - 4)] d y$
42935	Evaluate	x^-2*x^(11/9)	$x^{- 2} \cdot x^{\frac{11}{9}}$
42936	Multiply	(4 square root of 3a^3)^2	${(4 \sqrt{3 a^{3}})}^{2}$
42937	Find All Complex Solutions	x^2-x=6	$x^{2} - x = 6$
42938	Simplify	(2x+7)+(x^2-5x+3)	$(2 x + 7) + (x^{2} - 5 x + 3)$
42939	Solve for θ	1+cos(theta)=3cos(theta)	$1 + \cos (θ) = 3 \cos (θ)$
42940	Simplify	(16a^2b^4)^(1/4)	${(16 a^{2} b^{4})}^{\frac{1}{4}}$
42941	Solve the System of Equations	4x^2+y^2=52 xy=12	$4 x^{2} + y^{2} = 52$ $x y = 12$
42942	Find the Domain and Range	f(x) = natural log of -4x+3	$f (x) = \ln (- 4 x) + 3$
42943	Find Where Increasing/Decreasing	f(x)=2 log base 3 of x-2	$f (x) = 2 \log_{3} (x - 2)$
42944	Find the Holes in the Graph	(x^2-25)/(2x+10)	$\frac{x^{2} - 25}{2 x + 10}$
42945	Evaluate	(x^-6)/(x*x^-2)	$\frac{x^{- 6}}{x \cdot x^{- 2}}$
42946	Evaluate the Integral	integral of y^2 cube root of y with respect to y	$\int y^{2} \sqrt[3]{y} d y$
42947	Find the Derivative - d/dx	e^(-1/2x^2)	$e^{- \frac{1}{2} x^{2}}$
42948	Solve for x	1/5((2-x)/2)-3/10(1-x)/2=17/20	$\frac{1}{5} (\frac{2 - x}{2}) - \frac{3}{10} \cdot \frac{1 - x}{2} = \frac{17}{20}$
42949	Simplify	(cot(x)^2+1)(sec(x)^2-1)	$(\cot^{2} (x) + 1) (\sec^{2} (x) - 1)$
42950	Simplify the Radical Expression	( square root of 5x^6)/( square root of 2x^4y^3)	$\frac{\sqrt{5 x^{6}}}{\sqrt{2 x^{4} y^{3}}}$
42951	Solve the Inequality for x	35/(x+7)<=5	$\frac{35}{x + 7} \leq 5$
42952	Simplify the Radical Expression	(32x^30y^-40)^(-2/5)	${(32 x^{30} y^{- 40})}^{- \frac{2}{5}}$
42953	Evaluate	1/12*(2pi)/1	$\frac{1}{12} \cdot \frac{2 π}{1}$
42954	Write in Exponential Form	eighth root of 8^3* eighth root of 8^4	$\sqrt[8]{8^{3}} \cdot \sqrt[8]{8^{4}}$
42955	Solve the System of Equations	-2x+y+2z=12 2x-4y+z=-15 y+4z=6	$- 2 x + y + 2 z = 12$ $2 x - 4 y + z = - 15$ $y + 4 z = 6$
42956	Solve the Absolute Value Inequality for x	\|2x-6\|+\|3-x\|>12	$\| 2 x - 6 \| + \| 3 - x \| > 12$
42957	Find the x and y Intercepts	f(x)=(2x+4)^2+5	$f (x) = {(2 x + 4)}^{2} + 5$
42958	Evaluate	25% of 96	$25 %$ of $96$
42959	Find the Coterminal Angle	-(53pi)/6	$- \frac{53 π}{6}$
42960	Graph	4z-4-2z>8-6	$4 z - 4 - 2 z > 8 - 6$
42961	Evaluate	5^2(14-8)-2*5	$5^{2} (14 - 8) - 2 \cdot 5$
42962	Simplify	square root of 8* square root of 32	$\sqrt{8 \cdot \sqrt{32}}$
42963	Divide Using Synthetic Division	(4x^4-4x^3-22x^2+x-25)÷(x-3)	$(4 x^{4} - 4 x^{3} - 22 x^{2} + x - 25) \div (x - 3)$
42964	Solve for x	4x^2=-8x-3	$4 x^{2} = - 8 x - 3$
42965	Find the x and y Intercepts	f(x) = natural log of -4x+3	$f (x) = \ln (- 4 x) + 3$
42966	Graph	f(x)=x g(x)=x+5	$f (x) = x$ $g (x) = x + 5$
42967	Find dy/dx	y = cube root of x^2+5	$y = \sqrt[3]{x^{2} + 5}$
42968	Solve for a	g^6=(at^4)/b	$g^{6} = \frac{a t^{4}}{b}$
42969	Simplify	i^2+1	$i^{2} + 1$
42970	Solve for x	11/2=3x-2	$\frac{11}{2} = 3 x - 2$
42971	Evaluate the Limit	limit as x approaches 1 of (1-y root of x)/(1-z root of x)	$lim_{x \to 1} \frac{1 - \sqrt[y]{x}}{1 - \sqrt[z]{x}}$
42972	Solve the Function Operation	sin(theta)=3/5 with theta in Quadrant II	$\sin (θ) = \frac{3}{5}$ with $θ$ in Quadrant $I \cdot I$
42973	Solve for a	8^(2a-1)=32^(2a+1)	$8^{2 a - 1} = 32^{2 a + 1}$
42974	Find the Roots (Zeros)	x^2+61=-10x	$x^{2} + 61 = - 10 x$
42975	Solve by Graphing	x^8=-x^7+3	$x^{8} = - x^{7} + 3$
42976	Find the LCM	3a , 4a+28	$3 a$ , $4 a + 28$
42977	Simplify	((x^2-xy)/(9y^2))÷((2x)/(3y))	$\frac{x^{2} - x y}{9 y^{2}} \div \frac{2 x}{3 y}$
42978	Solve by Graphing	2x-5y=10 y=-2/5x+2	$2 x - 5 y = 10$ $y = - \frac{2}{5} x + 2$
42979	Solve for x	x/2=x+4	$\frac{x}{2} = x + 4$
42980	Find the GCF	8x^4y^6z , 2x^3y^5z	$8 x^{4} y^{6} z$ , $2 x^{3} y^{5} z$
42981	Evaluate	( square root of 125+ square root of 20- square root of 45)/( square root of 10)*( square root of 2)/3	$\frac{\sqrt{125} + \sqrt{20} - \sqrt{45}}{\sqrt{10}} \cdot \frac{\sqrt{2}}{3}$
42982	Find the x and y Intercepts	f(x)=(x+6)(x+6)(x^2-6)	$f (x) = (x + 6) (x + 6) (x^{2} - 6)$
42983	Find the Excluded Values	(x^2-25)/(x^2-36)	$\frac{x^{2} - 25}{x^{2} - 36}$
42984	Find the Remainder	7x^3-8x^2+x+1 divided by x+2	$7 x^{3} - 8 x^{2} + x + 1$ divided by $x + 2$
42985	Find the Excluded Values	(x^2-36)/(5x-20)	$\frac{x^{2} - 36}{5 x - 20}$
42986	Divide	(6f^2-13-11f)÷(3f-4)	$(6 f^{2} - 13 - 11 f) \div (3 f - 4)$
42987	Simplify	((7-x)/(7-x)*(x^2-1)/(64-x^2))÷((x^2+3x-4)/(x^2+12x+32))	$\frac{7 - x}{7 - x} \cdot \frac{x^{2} - 1}{64 - x^{2}} \div \frac{x^{2} + 3 x - 4}{x^{2} + 12 x + 32}$
42988	Convert to a Percentage	what percent of 60 is 45	what percent of $60$ is $45$
42989	Write in Standard Form	-14x^4+5x^3+6	$- 14 x^{4} + 5 x^{3} + 6$
42990	Solve for sᵢ	1/f=1/s_o+1/s_i	$\frac{1}{f} = \frac{1}{s_{o}} + \frac{1}{s_{i}}$
42991	Find the Derivative - d/dx	y=x+4 square root of x+2	$y = x + 4 \sqrt{x + 2}$
42992	Find the Slope	(-a+3,b-3) and (a+3,-b)	$(- a + 3, b - 3)$ and $(a + 3, - b)$
42993	Find dy/dx	y*2^y=x	$y \cdot 2^{y} = x$
42994	Simplify	7*(a+5)-30	$7 \cdot (a + 5) - 30$
42995	Simplify	7 square root of 2+ square root of 3+6 square root of 3+ square root of 2	$7 \sqrt{2} + \sqrt{3} + 6 \sqrt{3} + \sqrt{2}$
42996	Find the Quotient	7x^3-8x^2+x+1 divided by x+2	$7 x^{3} - 8 x^{2} + x + 1$ divided by $x + 2$
42997	Simplify	( cube root of -15)/(5 cube root of 5)	$\frac{\sqrt[3]{- 15}}{5 \sqrt[3]{5}}$
42998	Find the Inflection Points	1/10x^5-3x^3	$\frac{1}{10} x^{5} - 3 x^{3}$
42999	Simplify the Radical Expression	square root of x^2y^3	$\sqrt{x^{2} y^{3}}$
43000	Evaluate the Integral	integral from -3 to 4 of (y-(y^2-12)) with respect to y	$\int_{- 3}^{4} (y - (y^{2} - 12)) d y$