Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
10801	Write the Fraction in Simplest Form	(10n)/(2(n^-3)^4)	$\frac{10 n}{2 {(n^{- 3})}^{4}}$
10802	Evaluate	(1/7)/(1/7+1)-1	$\frac{\frac{1}{7}}{\frac{1}{7} + 1} - 1$
10803	Simplify	(2(x+4))/6*3/4	$\frac{2 (x + 4)}{6} \cdot \frac{3}{4}$
10804	Graph	-4(2-x)=4x-8	$- 4 (2 - x) = 4 x - 8$
10805	Solve for x	log base 4 of x- log base 4 of x-5 = log base 4 of 3	$\log_{4} (x) - \log_{4} (x - 5) = \log_{4} (3)$
10806	Evaluate	\|4x-4(x+1)\|=4	$\| 4 x - 4 (x + 1) \| = 4$
10807	Determine if a Polynomial	-r^2+r^4 square root of 3-2r^5	$- r^{2} + r^{4} \sqrt{3} - 2 r^{5}$
10808	Write in Slope-Intercept Form	2x+y<=4	$2 x + y \leq 4$
10809	Graph Using a Table of Values	f(x)=1/8*4^(x+1)	$f (x) = \frac{1}{8} \cdot 4^{x + 1}$
10810	Find the Inverse	g(x)=-( cube root of 4x)/2	$g (x) = - \frac{\sqrt[3]{4 x}}{2}$
10811	Solve for x	(8(x+4))/6=1/3	$\frac{8 (x + 4)}{6} = \frac{1}{3}$
10812	Solve for n	square root of n/5 = square root of 3n-28	$\sqrt{\frac{n}{5}} = \sqrt{3 n - 28}$
10813	Solve the Function Operation	Given g(x)=-x+3 ; find g(1)	Given $g (x) = - x + 3$ ; find $g (1)$
10814	Find the Degree	y^5-10x^2y^4	$y^{5} - 10 x^{2} y^{4}$
10815	Simplify	(10a^5a^12b^-6)/(2a^17b^-3b^2)	$\frac{10 a^{5} a^{12} b^{- 6}}{2 a^{17} b^{- 3} b^{2}}$
10816	Solve for x	x^( log base 8 of 3)=3	$x^{\log_{8} (3)} = 3$
10817	Simplify the Radical Expression	(6 square root of 10)(-4 square root of 20)	$(6 \sqrt{10}) (- 4 \sqrt{20})$
10818	Solve for x	(0.50)^(9900/x)=0.30	${(0.5)}^{\frac{9900}{x}} = 0.3$
10819	Evaluate	xy^-3	$x y^{- 3}$
10820	Solve the Function Operation	x=-2 , 0 , 1	$x = - 2$ , $0$ , $1$
10821	Graph	y=1/2x-7 x+y=-4	$y = \frac{1}{2} x - 7$ $x + y = - 4$
10822	Solve the Inequality for x	(3x-2)/(x+4)<2	$\frac{3 x - 2}{x + 4} < 2$
10823	Simplify	5(x-3)^-1+4(x+3)^-1-2(x+3)^-2	$5 {(x - 3)}^{- 1} + 4 {(x + 3)}^{- 1} - 2 {(x + 3)}^{- 2}$
10824	Evaluate	1/2e^0	$\frac{1}{2} e^{0}$
10825	Solve for p	p/9=9	$\frac{p}{9} = 9$
10826	Evaluate the Integral	integral from 1 to 2 of (x^2-x-5)/(x+2) with respect to x	$\int_{1}^{2} \frac{x^{2} - x - 5}{x + 2} d x$
10827	Solve for θ	tan(theta)cot(theta)=1	$\tan (θ) \cot (θ) = 1$
10828	Solve the Function Operation	f(x)=x^7-7 ; find f^-1(x)	$f (x) = x^{7} - 7$ ; find $f^{- 1} (x)$
10829	Evaluate the Limit	limit as x approaches 1 of ( square root of x-x^2)/( natural log of x)	$lim_{x \to 1} \frac{\sqrt{x} - x^{2}}{\ln (x)}$
10830	Solve the System of Equations	3x+y-2z=-2 6x-4y+2z=2 12x-2y-2z=-2	$3 x + y - 2 z = - 2$ $6 x - 4 y + 2 z = 2$ $12 x - 2 y - 2 z = - 2$
10831	Graph	x-3y>=12 4x-3y>21	$x - 3 y \geq 12$ $4 x - 3 y > 21$
10832	Solve the System of Inequalities	y>=-2x+5 y<=-x^2-x+4	$y \geq - 2 x + 5$ $y \leq - x^{2} - x + 4$
10833	Simplify	7/(2x^3)*(6x)/5	$\frac{7}{2 x^{3}} \cdot \frac{6 x}{5}$
10834	Find the Product	4x5x^32x^5	$4 x \cdot 5 x^{3} \cdot 2 x^{5}$
10835	Write Using Positive Exponents	4r^-3*2r^2	$4 r^{- 3} \cdot 2 r^{2}$
10836	Factor	y^2-7xy+10x^2	$y^{2} - 7 x y + 10 x^{2}$
10837	Find dy/dx	-3y-2y^3-1+4x^3-2y^2=0	$- 3 y - 2 y^{3} - 1 + 4 x^{3} - 2 y^{2} = 0$
10838	Simplify	(y-1)/(y square root of y+1)	$\frac{y - 1}{y \sqrt{y + 1}}$
10839	Evaluate	cot(0 degrees )	$\cot (0 °)$
10840	Find the Exact Value	(-1/2)/(-( square root of 3)/2)	$\frac{- \frac{1}{2}}{- \frac{\sqrt{3}}{2}}$
10841	Simplify	2b square root of 3-b square root of 3+7 square root of 3	$2 b \sqrt{3} - b \sqrt{3} + 7 \sqrt{3}$
10842	Evaluate	-0.125 square root of 192	$- 0.125 \sqrt{192}$
10843	Solve for x	x+2x-6=-12+2x	$x + 2 x - 6 = - 12 + 2 x$
10844	Solve for x	(2x)/(x+8)=(2x-8)/x	$\frac{2 x}{x + 8} = \frac{2 x - 8}{x}$
10845	Find the Maximum/Minimum Value	f(x) = square root of 3sin(x)+cos(x)	$f (x) = \sqrt{3} \sin (x) + \cos (x)$
10846	Write the Fraction in Simplest Form	(2(a^-1)^3)/(-10a^5)	$\frac{2 {(a^{- 1})}^{3}}{- 10 a^{5}}$
10847	Simplify	(2x)/( cube root of x)	$\frac{2 x}{\sqrt[3]{x}}$
10848	Divide	((x^2-x-6)/(x+4))÷(x^2-6x+9)	$\frac{x^{2} - x - 6}{x + 4} \div (x^{2} - 6 x + 9)$
10849	Simplify	(B(x+h)^2-Bx^2)/h	$\frac{B {(x + h)}^{2} - B x^{2}}{h}$
10850	Simplify	i^19i^23i^11*i^21	$i^{19} \cdot i^{23} \cdot i^{11} \cdot i^{21}$
10851	Find the Reference Angle	csc(510 degrees )	$\csc (510 °)$
10852	Solve the System of Equations	x=y-1 -x+y=-1	$x = y - 1$ $- x + y = - 1$
10853	Simplify	a^2b^3c^5*ab^7c^2	$a^{2} b^{3} c^{5} \cdot a b^{7} c^{2}$
10854	Solve for K	K=((sin(30 degrees )+sec(60 degrees ))(tan(45 degrees )+sec(45 degrees )^2))/(5cos(37 degrees ))	$K = \frac{(\sin (30 °) + \sec (60 °)) (\tan (45 °) + \sec^{2} (45 °))}{5 \cos (37 °)}$
10855	Solve for x	(21x^2+14x)=0	$(21 x^{2} + 14 x) = 0$
10856	Write in Standard Form	f(x)=4x^2-3x+5x^3-7	$f (x) = 4 x^{2} - 3 x + 5 x^{3} - 7$
10857	Graph	y=3/2x-7 x+2y=-6	$y = \frac{3}{2} x - 7$ $x + 2 y = - 6$
10858	Convert to Radical Form	3ab^(1/5)	$3 a b^{\frac{1}{5}}$
10859	Graph	x>0 or x<3	$x > 0$ or $x < 3$
10860	Simplify	((-8x^6)/(y^(1/2)z^(3/2)))^(2/3)	${(\frac{- 8 x^{6}}{y^{\frac{1}{2}} z^{\frac{3}{2}}})}^{\frac{2}{3}}$
10861	Evaluate Using the Given Value	Evaluate the expression 2xy when x=5 and y=4	Evaluate the expression $2 x y$ when $x = 5$ and $y = 4$
10862	Find the Derivative - d/dx	y/(3y^2-x)	$\frac{y}{3 y^{2} - x}$
10863	Simplify	-2xyxy3x^2y^3	$- 2 x y \cdot x y \cdot 3 x^{2} y^{3}$
10864	Simplify the Radical Expression	(2 cube root of 2)(6 cube root of 4)	$(2 \sqrt[3]{2}) (6 \sqrt[3]{4})$
10865	Simplify the Radical Expression	fourth root of x* square root of x^3	$\sqrt[4]{x} \cdot \sqrt{x^{3}}$
10866	Simplify	(1/(1-x))^2	${(\frac{1}{1 - x})}^{2}$
10867	Solve for y	4(y-3)<=4(2y+1)	$4 (y - 3) \leq 4 (2 y + 1)$
10868	Solve for A	A=e^(0.15*1)	$A = e^{0.15 \cdot 1}$
10869	Multiply	square root of 2 , square root of 8	$\sqrt{2}$ , $\sqrt{8}$
10870	Solve the Inequality for x	2x^2+x-10>0	$2 x^{2} + x - 10 > 0$
10871	Solve the Function Operation	f(x)=4x+5 g(x)=x^2+4x+2 Find: f(g(x))	$f (x) = 4 x + 5$ $g (x) = x^{2} + 4 x + 2$ Find: $f (g (x))$
10872	Simplify	i^7i^28i^25*i^19	$i^{7} \cdot i^{28} \cdot i^{25} \cdot i^{19}$
10873	Find the Cotangent Given the Point	(-3, square root of 3)	$(- 3, \sqrt{3})$
10874	Solve the Rational Equation for x	square root of x+75 = square root of x-5	$\sqrt{x + 75} = \sqrt{x} - 5$
10875	Find the Slope and y-intercept	f(x)=3(x+2)	$f (x) = 3 (x + 2)$
10876	Find the Derivative - d/dθ	tan(2theta)	$\tan (2 θ)$
10877	Factor	3(m-4)-n(m-4)	$3 \cdot (m - 4) - n \cdot (m - 4)$
10878	Solve for x	8^(-2x^2-10)=(1/64)^(-10x-16)	$8^{- 2 x^{2} - 10} = {(\frac{1}{64})}^{- 10 x - 16}$
10879	Solve for x	cos(x)*csc(x)-2cos(x)=0	$\cos (x) \cdot \csc (x) - 2 \cos (x) = 0$
10880	Solve for p	(7p-1)^(1/3)+11=7	${(7 p - 1)}^{\frac{1}{3}} + 11 = 7$
10881	Simplify the Radical Expression	2/( square root of 12)	$\frac{2}{\sqrt{12}}$
10882	Evaluate the Integral	integral from pi to 2pi of theta with respect to theta	$\int_{π}^{2 π} θ d θ$
10883	Simplify	(25^(1/2))/(27^(1/3))	$\frac{25^{\frac{1}{2}}}{27^{\frac{1}{3}}}$
10884	Simplify	(3x-6y)+(2x+y)	$(3 x - 6 y) + (2 x + y)$
10885	Simplify	-(56x)/(28x)	$- \frac{56 x}{28 x}$
10886	Solve the Function Operation	x+y+z=280 25 , 0x+30 , 0y+40 , 0z=8 , 0 , 0x-2y=0	$x + y + z = 280$ $25$ , $0 x + 30$ , $0 y + 40$ , $0 z = 8$ , $0$ , $0 x - 2 y = 0$
10887	Evaluate the Integral	integral of (9x^7)/(x^8+9) with respect to x	$\int \frac{9 x^{7}}{x^{8} + 9} d x$
10888	Find Where Increasing/Decreasing	y=12(17/10)^x	$y = 12 {(\frac{17}{10})}^{x}$
10889	Solve for P	3x^P(4x^(P+4)+2x^(3p+2))=12x^12+6x^18	$3 x^{P} (4 x^{P + 4} + 2 x^{3 p + 2}) = 12 x^{12} + 6 x^{18}$
10890	Evaluate	(x^4)/(3 square root of x)	$\frac{x^{4}}{3 \sqrt{x}}$
10891	Solve for x	-x+ square root of 14-2x=-7	$- x + \sqrt{14 - 2 x} = - 7$
10892	Solve for T	T=(50010^281)/(6^4*5^4)	$T = \frac{500 \cdot 10^{2} \cdot 81}{6^{4} \cdot 5^{4}}$
10893	Simplify	-3 fourth root of 64*(- fourth root of 8)	$- 3 \sqrt[4]{64} \cdot (- \sqrt[4]{8})$
10894	Graph	(2x^2)^(-)*4	${(2 x^{2})}^{-} \cdot 4$
10895	Solve for n	(2n-4)/(3n^2+12n)=(n-1)/(3n^2+12n)-1/n	$\frac{2 n - 4}{3 n^{2} + 12 n} = \frac{n - 1}{3 n^{2} + 12 n} - \frac{1}{n}$
10896	Simplify	((10x^4)^2)/((5x^2)^3)	$\frac{{(10 x^{4})}^{2}}{{(5 x^{2})}^{3}}$
10897	Simplify	8i^119+i^78-3i^97+9i^44	$8 i^{119} + i^{78} - 3 i^{97} + 9 i^{44}$
10898	Describe the Transformation	F(x)=4^x-3 , g(x)=4^(0.5x)-3	$F (x) = 4^{x} - 3$ , $g (x) = 4^{0.5 x} - 3$
10899	Simplify	2 square root of 2/3+5 square root of 3/2	$2 \sqrt{\frac{2}{3}} + 5 \sqrt{\frac{3}{2}}$
10900	Simplify	-(8x)/9+(-x/9)	$- \frac{8 x}{9} + (- \frac{x}{9})$