Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
26801	Solve for x	1-e^x=0	$1 - e^{x} = 0$
26802	Find the Derivative - d/dx	7-(1.01)^(-x^2)	$7 - {(1.01)}^{- x^{2}}$
26803	Simplify	( cube root of 5^2)/( fifth root of 5)	$\frac{\sqrt[3]{5^{2}}}{\sqrt[5]{5}}$
26804	Solve the Absolute Value Inequality for x	(\|2x-5\|)/3>1	$\frac{\| 2 x - 5 \|}{3} > 1$
26805	Find the Antiderivative	x* square root of x^2+1	$x \cdot \sqrt{x^{2} + 1}$
26806	Factor	4(x-3)^3(4x+7)^3+(x-3)^2(4x+7)^4	$4 {(x - 3)}^{3} {(4 x + 7)}^{3} + {(x - 3)}^{2} {(4 x + 7)}^{4}$
26807	Solve the Inequality for x	x+3<=-(x+5/2)-9	$x + 3 \leq - (x + \frac{5}{2}) - 9$
26808	Solve the Inequality for x	4(3x-2)-3x<3(1+3x)-7	$4 (3 x - 2) - 3 x < 3 (1 + 3 x) - 7$
26809	Divide Using Synthetic Division	Use synthetic division to find the result when 4x^4-13x^3-8x^2-21x+20 is divided by x-4	Use synthetic division to find the result when $4 x^{4} - 13 x^{3} - 8 x^{2} - 21 x + 20$ is divided by $x - 4$
26810	Simplify	(3x^4-4-5x^2)-(1-x^2+2x^3)	$(3 x^{4} - 4 - 5 x^{2}) - (1 - x^{2} + 2 x^{3})$
26811	Solve for n	( square root of n-19)^4=16	${(\sqrt{n - 19})}^{4} = 16$
26812	Evaluate the Limit	limit as x approaches -1 of (x^3-7x-6)/(x^3+3x^2+2x)	$lim_{x \to - 1} \frac{x^{3} - 7 x - 6}{x^{3} + 3 x^{2} + 2 x}$
26813	Evaluate	(x^2y^-3)/(x^-1y)	$\frac{x^{2} y^{- 3}}{x^{- 1} y}$
26814	Find the Degree, Leading Term, and Leading Coefficient	9-x^2+2x^5-7x	$9 - x^{2} + 2 x^{5} - 7 x$
26815	Solve the Inequality for x	-5x^2-14x+1<=-10x	$- 5 x^{2} - 14 x + 1 \leq - 10 x$
26816	Find the Slope	(-4,-4) and (-4,-9)	$(- 4, - 4)$ and $(- 4, - 9)$
26817	Evaluate	((3^2)/2-(1+4))÷0.5	$(\frac{3^{2}}{2} - (1 + 4)) \div 0.5$
26818	Simplify	(4x^6+8x^3)/(4x^2)	$\frac{4 x^{6} + 8 x^{3}}{4 x^{2}}$
26819	Solve the Inequality for x	2x^2+11x+7>=2x	$2 x^{2} + 11 x + 7 \geq 2 x$
26820	Solve the System of Equations	x=11 -4x+y=-23	$x = 11$ $- 4 x + y = - 23$
26821	Solve the System of Inequalities	x<3 and x>-2	$x < 3$ and $x > - 2$
26822	Simplify	(2 square root of 3)/-2	$\frac{2 \sqrt{3}}{- 2}$
26823	Evaluate the Integral	integral from 1 to 4 of (2 cube root of x+5 square root of x-4x^4) with respect to x	$\int_{1}^{4} (2 \sqrt[3]{x} + 5 \sqrt{x} - 4 x^{4}) d x$
26824	Find the Derivative - d/dx	fourth root of x^3cos(x)	$\sqrt[4]{x^{3}} \cos (x)$
26825	Simplify/Condense	1/3* natural log of 64- natural log of 12	$\frac{1}{3} \cdot \ln (64) - \ln (12)$
26826	Convert to Interval Notation	-1/2<=(4-3x)/5<=1/4	$- \frac{1}{2} \leq \frac{4 - 3 x}{5} \leq \frac{1}{4}$
26827	Solve for x	log base 5 of x+4+ log base 5 of x = log base 5 of 12	$\log_{5} (x + 4) + \log_{5} (x) = \log_{5} (12)$
26828	Find dy/dx	-1=-xy+2y^2	$- 1 = - x y + 2 y^{2}$
26829	Solve for x	-7x-4x=8-2x-8x	$- 7 x - 4 x = 8 - 2 x - 8 x$
26830	Factor	30y^4z^3x^5+50y^4z^5-10y^4z^3x	$30 y^{4} z^{3} x^{5} + 50 y^{4} z^{5} - 10 y^{4} z^{3} x$
26831	Solve the Inequality for x	-5x^2-3x<=10x+6	$- 5 x^{2} - 3 x \leq 10 x + 6$
26832	Find the Roots (Zeros)	x^4-8x^3+24x^2-32x+16=0	$x^{4} - 8 x^{3} + 24 x^{2} - 32 x + 16 = 0$
26833	Find the Domain and Range	y=-8/27sec((pix)/12- square root of 9)-28	$y = - \frac{8}{27} \sec (\frac{π x}{12} - \sqrt{9}) - 28$
26834	Solve in Terms of the Arbitrary Variable n	s_n=-26240 , n=8 , r=-3	$s_{n} = - 26240$ , $n = 8$ , $r = - 3$
26835	Integrate Using u-Substitution	integral of (sin(x))/(cos(x)^2) with respect to x	$\int \frac{\sin (x)}{\cos^{2} (x)} d x$
26836	Solve the System of Equations	5x+9y=31 and -2x-y=11	$5 x + 9 y = 31$ and $- 2 x - y = 11$
26837	Solve for p	3(p+2.55)=9 3/4	$3 (p + 2.55) = 9 \frac{3}{4}$
26838	Find the LCM	25x^2+40x+16 and 25x^2-16	$25 x^{2} + 40 x + 16$ and $25 x^{2} - 16$
26839	Evaluate the Function	f(-1)=1/(2^x)-7	$f (- 1) = \frac{1}{2^{x}} - 7$
26840	Simplify	(3 log of 2)/( log of 4+ log of 3)	$\frac{3 \log (2)}{\log (4) + \log (3)}$
26841	Find the Derivative - d/dx	-cos( square root of x)	$- \cos (\sqrt{x})$
26842	Find the Derivative - d/dx	2^(x^2+3)	$2^{x^{2} + 3}$
26843	Find the Exact Value	cot(- square root of 3)	$\cot (- \sqrt{3})$
26844	Simplify	(((v-7)(v+8))/((v+8)(v-10)))÷(1/(v-10))	$\frac{(v - 7) (v + 8)}{(v + 8) (v - 10)} \div \frac{1}{v - 10}$
26845	Find the Derivative - d/dx	(x+1)/(4^x)	$\frac{x + 1}{4^{x}}$
26846	Find dx/dy	x=(y^4)/4+1/(8y^2)	$x = \frac{y^{4}}{4} + \frac{1}{8 y^{2}}$
26847	Evaluate	6^2-5+4÷5*1	$6^{2} - 5 + 4 \div 5 \cdot 1$
26848	Graph	3x-5y=-15 y=4/5x+4	$3 x - 5 y = - 15$ $y = \frac{4}{5} x + 4$
26849	Simplify	(6/(28x+4))÷(12/(35x+5))	$\frac{6}{28 x + 4} \div \frac{12}{35 x + 5}$
26850	Find Amplitude, Period, and Phase Shift	y=4sin((2pix)/5-5/4)	$y = 4 \sin (\frac{2 π x}{5} - \frac{5}{4})$
26851	Evaluate	13+((4^3)÷2)*5-17	$13 + (4^{3} \div 2) \times 5 - 17$
26852	Evaluate	(-5^7)÷(-5^2)	$- 5^{7} \div (- 5^{2})$
26853	Convert to Logarithmic Form	1/64=t^x	$\frac{1}{64} = t^{x}$
26854	Evaluate	i^48*i^35	$i^{48} \cdot i^{35}$
26855	Simplify the Radical Expression	cube root of 24 cube root of 18	$\sqrt[3]{24} \sqrt[3]{18}$
26856	Divide Using Long Polynomial Division	Use the long division method to find the result when 4x^3-22x^2+11x-5 is divided by x-5	Use the long division method to find the result when $4 x^{3} - 22 x^{2} + 11 x - 5$ is divided by $x - 5$
26857	Evaluate	mg=w	$mg = w$
26858	Find the GCF	20 and 50	$20$ and $50$
26859	Simplify	(2x^2y^-3z^4)/(6x^2yz^3)	$\frac{2 x^{2} y^{- 3} z^{4}}{6 x^{2} y z^{3}}$
26860	Simplify	(81^(1/2)-9^(1/2))^2	${(81^{\frac{1}{2}} - 9^{\frac{1}{2}})}^{2}$
26861	Simplify	e^(4/3 natural log of 2-1)	$e^{\frac{4}{3} \ln (2) - 1}$
26862	Find the Slope	Find the slope of the line passing through the points (-6,6) and (4,-7)	Find the slope of the line passing through the points $(- 6, 6)$ and $(4, - 7)$
26863	Integrate Using u-Substitution	f(x) = integral of (x+1)^3 with respect to x	$f (x) = \int {(x + 1)}^{3} d x$
26864	Divide Using Long Polynomial Division	Use the long division method to find the result when 3x^3+5x^2+11x+6 is divided by 3x+2	Use the long division method to find the result when $3 x^{3} + 5 x^{2} + 11 x + 6$ is divided by $3 x + 2$
26865	Divide	(-5/7)÷(-1/3)	$\frac{- 5}{7} \div \frac{- 1}{3}$
26866	Find the Roots (Zeros)	P(x)=2x^3+x^2+2x+1	$P (x) = 2 x^{3} + x^{2} + 2 x + 1$
26867	Determine if a Polynomial	(d^4)/c	$\frac{d^{4}}{c}$
26868	Solve the Rational Equation for x	(x+3)/(3x-2)-(x-3)/(3x+2)=44/(9x^2-4)	$\frac{x + 3}{3 x - 2} - \frac{x - 3}{3 x + 2} = \frac{44}{9 x^{2} - 4}$
26869	Simplify	2x(y^2+3xy+4x+3)	$2 x (y^{2} + 3 x y + 4 x + 3)$
26870	Evaluate	4(3/2)^-1	$4 {(\frac{3}{2})}^{- 1}$
26871	Solve for g	3<=7+g	$3 \leq 7 + g$
26872	Simplify	-1/9x+3/9x	$- \frac{1}{9} x + \frac{3}{9} x$
26873	Simplify	-3/(9x^2-4)+1/(3x^2+2x)	$\frac{- 3}{9 x^{2} - 4} + \frac{1}{3 x^{2} + 2 x}$
26874	Simplify	((3x+2)/(4x))÷((x+5)/8)	$(\frac{3 x + 2}{4 x}) \div (\frac{x + 5}{8})$
26875	Simplify	( square root of 2)/2* square root of 2	$\frac{\sqrt{2}}{2} \cdot \sqrt{2}$
26876	Solve the System of Equations	x+2z=30 y+z=12 z=1	$x + 2 z = 30$ $y + z = 12$ $z = 1$
26877	Solve for θ in Degrees	cos(theta)^2+9cos(theta)+18=0	$\cos^{2} (θ) + 9 \cos (θ) + 18 = 0$
26878	Find the Exact Value	\|-2i\|	$\| - 2 i \|$
26879	Solve for x	(3x)/2=1+(4x)/3	$\frac{3 x}{2} = 1 + \frac{4 x}{3}$
26880	Simplify the Radical Expression	(6 square root of 15)÷2 square root of 5	$6 \sqrt{15} \div 2 \sqrt{5}$
26881	Find the Product	(2x+y)(3x^2+y)	$(2 x + y) (3 x^{2} + y)$
26882	Simplify	(125^(1/3))/(125^(2/3))	$\frac{125^{\frac{1}{3}}}{125^{\frac{2}{3}}}$
26883	Solve for x	10^(2x+1)+2=2	$10^{2 x + 1} + 2 = 2$
26884	Solve for x	(x-5)1/2+5=2	$(x - 5) \frac{1}{2} + 5 = 2$
26885	Solve for x	x^2-1/2x-35/16=0	$x^{2} - \frac{1}{2} x - \frac{35}{16} = 0$
26886	Evaluate the Integral	integral of ((2r-1)cos( square root of 3(2r-1)^2+6))/( square root of 3(2r-1)^2+6) with respect to r	$\int \frac{(2 r - 1) \cos (\sqrt{3 {(2 r - 1)}^{2} + 6})}{\sqrt{3 {(2 r - 1)}^{2} + 6}} d r$
26887	Simplify the Radical Expression	3^-2	$3^{- 2}$
26888	Identify the Zeros and Their Multiplicities	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
26889	Simplify	1/2( square root of 74)( square root of 74)	$\frac{1}{2} (\sqrt{74}) (\sqrt{74})$
26890	Solve for t	(cos(t)-3)(2sin(t)^2-1)=0	$(\cos (t) - 3) (2 \sin^{2} (t) - 1) = 0$
26891	Simplify	(2 square root of 3-x)/(4 cube root of 3-x)	$\frac{2 \sqrt{3 - x}}{4 \sqrt[3]{3 - x}}$
26892	Find the Derivative - d/dx	(8-2x)/(3y^2)	$\frac{8 - 2 x}{3 y^{2}}$
26893	Find the Slope and y-intercept	2/3x=3/5y+2	$\frac{2}{3} x = \frac{3}{5} y + 2$
26894	Write as a Single Logarithm	log of x+ log of y-2 log of z	$\log (x) + \log (y) - 2 \log (z)$
26895	Find the Excluded Values	(x+12)/(2x-5)-(3x-2)/(2x-5)	$\frac{x + 12}{2 x - 5} - \frac{3 x - 2}{2 x - 5}$
26896	Evaluate the Integral	integral from npi to (n+2)pi of 7cos(x) with respect to x	$\int_{n π}^{(n + 2) π} 7 \cos (x) d x$
26897	Solve the System of Equations	3x+2y=2 and y=-1.5x+1	$3 x + 2 y = 2$ and $y = - 1.5 x + 1$
26898	Solve the Inequality for a	\|4a+1\|>5	$\| 4 a + 1 \| > 5$
26899	Find Where Increasing/Decreasing	-((x-2)^2)/((x-1)^2)	$- \frac{{(x - 2)}^{2}}{{(x - 1)}^{2}}$
26900	Simplify	(csc(theta)^2)/(sec(theta)^2)	$\frac{\csc^{2} (θ)}{\sec^{2} (θ)}$