Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
11401	Find the Maximum/Minimum Value	y=x^3-4x	$y = x^{3} - 4 x$
11402	Simplify	((-12x^3y^4)/(4x^3y^4))^2	${(\frac{- 12 x^{3} y^{4}}{4 x^{3} y^{4}})}^{2}$
11403	Solve the Function Operation	f(x)=x^2-3x+9 g(x)=5x-9 Find: (gof)(x)	$f (x) = x^{2} - 3 x + 9$ $g (x) = 5 x - 9$ Find: $((g \circ f)) (x)$
11404	Solve the Differential Equation	y'-2y=0	$y' - 2 y = 0$
11405	Solve for y	square root of y+ square root of y+2=6	$\sqrt{y + \sqrt{y + 2}} = 6$
11406	Find the Reference Angle	cot(315 degrees )	$\cot (315 °)$
11407	Solve for x	(2x)/(x-1)=5/(x-3)	$\frac{2 x}{x - 1} = \frac{5}{x - 3}$
11408	Graph	y=2tan(4)(x-pi)-1	$y = 2 \tan (4) (x - π) - 1$
11409	Solve for x	square root of 4x+3 = square root of 7x	$\sqrt{4 x + 3} = \sqrt{7 x}$
11410	Find the Holes in the Graph	(4x^2-4x)/(3x^2+4x-7)	$\frac{4 x^{2} - 4 x}{3 x^{2} + 4 x - 7}$
11411	Graph	x+y>=1 x+2y>1	$x + y \geq 1$ $x + 2 y > 1$
11412	Divide	(3c^4+6c^3-2c+4)(c+2)^-1	$(3 c^{4} + 6 c^{3} - 2 c + 4) {(c + 2)}^{- 1}$
11413	Graph	7x+4y>=-32 x-y<-3	$7 x + 4 y \geq - 32$ $x - y < - 3$
11414	Evaluate	(10x^2+3x+9)+(5x^2+x+4)	$(10 x^{2} + 3 x + 9) + (5 x^{2} + x + 4)$
11415	Simplify	(16a^(1/8)b^-6c^(3/5))/(2^3a^(3/8)b^(-1/5)c^(2/5))	$\frac{16 a^{\frac{1}{8}} b^{- 6} c^{\frac{3}{5}}}{2^{3} a^{\frac{3}{8}} b^{- \frac{1}{5}} c^{\frac{2}{5}}}$
11416	Solve the System of Equations	h-z=3 -3h+3z=6	$h - z = 3$ $- 3 h + 3 z = 6$
11417	Simplify	cube root of 125x^7* fourth root of 256x^3	$\sqrt[3]{125 x^{7}} \cdot \sqrt[4]{256 x^{3}}$
11418	Solve for x	4=(6-2x)^(1/2)	$4 = {(6 - 2 x)}^{\frac{1}{2}}$
11419	Solve for f	P_n=L+(si)/f	$P_{n} = L + \frac{s i}{f}$
11420	Simplify	f(x)=(x^3-15x^2+71x-105)/24+(-(x^3-11x^2+31x-21))/8+(-4x^2+24x-20)/16	$f (x) = \frac{x^{3} - 15 x^{2} + 71 x - 105}{24} + \frac{- (x^{3} - 11 x^{2} + 31 x - 21)}{8} + \frac{- 4 x^{2} + 24 x - 20}{16}$
11421	Find the Antiderivative	(x+3)/(x^2+3x+2)	$\frac{x + 3}{x^{2} + 3 x + 2}$
11422	Solve for x	6+3x = square root of 2x+12+2x	$6 + 3 x = \sqrt{2 x + 12} + 2 x$
11423	Simplify	a^3*(a^2b)^4	$a^{3} \cdot {(a^{2} b)}^{4}$
11424	Find the Domain	2sec(theta)^2=1/(1-sin(theta))+1/(1+sin(theta))	$2 \sec^{2} (θ) = \frac{1}{1 - \sin (θ)} + \frac{1}{1 + \sin (θ)}$
11425	Find the Roots (Zeros)	(x+3)(x^2-x-12)	$(x + 3) (x^{2} - x - 12)$
11426	Solve the Inequality for x	2x+3y<=6	$2 x + 3 y \leq 6$
11427	Evaluate Using the Given Value	8x^3+15x^2-7x-5 at x=1	$8 x^{3} + 15 x^{2} - 7 x - 5$ at $x = 1$
11428	Simplify	(2x^3y^4)/((2yx^-1)^4)	$\frac{2 x^{3} y^{4}}{{(2 y x^{- 1})}^{4}}$
11429	Describe the Transformation	y=2f(x)-3	$y = 2 f (x) - 3$
11430	Write in Exponential Form	fourth root of x^3- fourth root of x	$\sqrt[4]{x^{3}} - \sqrt[4]{x}$
11431	Solve the Function Operation	f(x)=2x+3 g(x)=2x^2+6x+13 Find: (gof)(x)	$f (x) = 2 x + 3$ $g (x) = 2 x^{2} + 6 x + 13$ Find: $((g \circ f)) (x)$
11432	Find Trig Functions Using Identities	sec(theta)=-3 , tan(theta)>0	$\sec (θ) = - 3$ , $\tan (θ) > 0$
11433	Find the Domain	(x^2-4)/(4x^2-8x)	$\frac{x^{2} - 4}{4 x^{2} - 8 x}$
11434	Solve for x	1/2-7/x=5/(2x)	$\frac{1}{2} - \frac{7}{x} = \frac{5}{2 x}$
11435	Solve by Graphing	2x+y=4 -4x-2y=-8	$2 x + y = 4$ $- 4 x - 2 y = - 8$
11436	Write the Fraction in Simplest Form	(5r^-1)/(4(r^-1)^2)	$\frac{5 r^{- 1}}{4 {(r^{- 1})}^{2}}$
11437	Evaluate	9^x-1=2	$9^{x} - 1 = 2$
11438	Simplify the Radical Expression	(6 square root of 7)(7 square root of 14)	$(6 \sqrt{7}) (7 \sqrt{14})$
11439	Find the Third Derivative	f(x)=x^4-6	$f (x) = x^{4} - 6$
11440	Simplify	cube root of 3/9	$\sqrt[3]{\frac{3}{9}}$
11441	Solve for x	log base 3 of 4x^2-1- log base 3 of x+3=1	$\log_{3} (4 x^{2} - 1) - \log_{3} (x + 3) = 1$
11442	Find the Third Derivative	5x^4-4x^3+2	$5 x^{4} - 4 x^{3} + 2$
11443	Simplify the Radical Expression	( square root of 7)^2	${(\sqrt{7})}^{2}$
11444	Solve for x	(54+x+89)/3=76	$\frac{54 + x + 89}{3} = 76$
11445	Find the Inverse	f(x)=2x^(-2/3)	$f (x) = 2 x^{- \frac{2}{3}}$
11446	Solve the Rational Equation for x	square root of 2x+15=x	$\sqrt{2 x + 15} = x$
11447	Simplify the Radical Expression	square root of 75/36	$\sqrt{\frac{75}{36}}$
11448	Solve for x	-(4-x)=3/4(x-6)	$- (4 - x) = \frac{3}{4} (x - 6)$
11449	Simplify	1/(2^3-5)	$\frac{1}{2^{3} - 5}$
11450	Find the Domain	A(r)=2pir^2+12pir	$A (r) = 2 π r^{2} + 12 π r$
11451	Simplify	(n-1-(n-1-(n-1)))	$(n - 1 - (n - 1 - (n - 1)))$
11452	Solve the Inequality for n	1/2n+3<5	$\frac{1}{2} n + 3 < 5$
11453	Solve for w	-2w+14w+3=8w+27	$- 2 w + 14 w + 3 = 8 w + 27$
11454	Solve the Inequality for x	x^2+5x-12<x+8	$x^{2} + 5 x - 12 < x + 8$
11455	Subtract	(7-13x^3-11x)-(2x^3+8-4x^5)	$(7 - 13 x^{3} - 11 x) - (2 x^{3} + 8 - 4 x^{5})$
11456	Evaluate the Integral	If integral from 0 to a of 6x^2 with respect to x=-2	If $\int_{0}^{a} 6 x^{2} d x = - 2$
11457	Simplify	4 square root of 310 square root of 12 square root of 6* square root of 2	$4 \sqrt{3} \cdot 10 \sqrt{12} \cdot \sqrt{6} \cdot \sqrt{2}$
11458	Simplify/Condense	3* log base 2 of p+7* log base 2 of q	$3 \cdot \log_{2} (p) + 7 \cdot \log_{2} (q)$
11459	Solve for C	2cos(C)^2+cos(C)-1=0	$2 \cos^{2} (C) + \cos (C) - 1 = 0$
11460	Simplify	x2^3(4/(x^2))^-1	$x \cdot 2^{3} \cdot {(\frac{4}{x^{2}})}^{- 1}$
11461	Simplify	( square root of x+ square root of 3)( square root of x+2 square root of 3)	$(\sqrt{x} + \sqrt{3}) (\sqrt{x} + 2 \sqrt{3})$
11462	Write in Exponential Form	square root of 5^2	$\sqrt{5^{2}}$
11463	Simplify	x+2x-8+3x+1-2x	$x + 2 x - 8 + 3 x + 1 - 2 x$
11464	Evaluate	square root of 3x-2=5	$\sqrt{3 x - 2} = 5$
11465	Simplify	(12x^9y^9)/(15x^7y*5x^4y^2)	$\frac{12 x^{9} y^{9}}{15 x^{7} y \cdot 5 x^{4} y^{2}}$
11466	Solve for x	1/x+2x=3	$\frac{1}{x} + 2 x = 3$
11467	Simplify	(x^2+2x+1)/(x^3-2x^2-3x)	$\frac{x^{2} + 2 x + 1}{x^{3} - 2 x^{2} - 3 x}$
11468	Solve for x	2(2x-1)+2x=6(x-1)	$2 (2 x - 1) + 2 x = 6 (x - 1)$
11469	Find the Roots (Zeros)	x^5+x^4+x^3+x^2+x=0	$x^{5} + x^{4} + x^{3} + x^{2} + x = 0$
11470	Simplify	(6ab^8)(-2ab^2)-4a^2b^10	$(6 a b^{8}) (- 2 a b^{2}) - 4 a^{2} b^{10}$
11471	Simplify	6n^3-n^2+3n^4+5n^2	$6 n^{3} - n^{2} + 3 n^{4} + 5 n^{2}$
11472	Find the Antiderivative	f(x)=1/( square root of 7x-9)	$f (x) = \frac{1}{\sqrt{7 x - 9}}$
11473	Evaluate Using the Given Value	-a^-2 if a=-5 ?	$- a^{- 2}$ if $a = - 5$ ?
11474	Solve the System of Inequalities	4x+y<2 y>-2	$4 x + y < 2$ $y > - 2$
11475	Solve for x	(4x-1)/x=3x	$\frac{4 x - 1}{x} = 3 x$
11476	Evaluate the Limit	limit as x approaches 0 from the right of sinh(3x)^x	$lim_{x \to 0^{+}} {\sinh (3 x)}^{x}$
11477	Find the Exact Value	sin((5pi)/6)+2tan((7pi)/4)	$\sin (\frac{5 π}{6}) + 2 \tan (\frac{7 π}{4})$
11478	Simplify the Radical Expression	( square root of -4)^2	${(\sqrt{- 4})}^{2}$
11479	Find Amplitude, Period, and Phase Shift	y=1/2sin(x/3-pi)+5	$y = \frac{1}{2} \sin (\frac{x}{3} - π) + 5$
11480	Simplify	(-9x)/(x^2-4x-21)	$\frac{- 9 x}{x^{2} - 4 x - 21}$
11481	Find the Domain	((2a+b)/a-(a+2b)/b)((a-b)/(b^2+ab)+(a+b)/(b^2-ab))	$(\frac{2 a + b}{a} - \frac{a + 2 b}{b}) (\frac{a - b}{b^{2} + a b} + \frac{a + b}{b^{2} - a b})$
11482	Solve by Completing the Square	-3x^2-63x-194=-15x+1	$- 3 x^{2} - 63 x - 194 = - 15 x + 1$
11483	Simplify	((32x^10)/(2x^8))^(1/2)	${(\frac{32 x^{10}}{2 x^{8}})}^{\frac{1}{2}}$
11484	Determine if Perpendicular	8x-2y=4 and x+4y=-12	$8 x - 2 y = 4$ and $x + 4 y = - 12$
11485	Solve for x	-8(8-x)=4/5(x+10)	$- 8 (8 - x) = \frac{4}{5} (x + 10)$
11486	Simplify the Radical Expression	( square root of 3)/( square root of 6)	$\frac{\sqrt{3}}{\sqrt{6}}$
11487	Simplify the Radical Expression	square root of 27+10 square root of 3	$\sqrt{27} + 10 \sqrt{3}$
11488	Factor	63q^3r^6-54r^3	$63 q^{3} r^{6} - 54 r^{3}$
11489	Divide Using Synthetic Division	x^3+7x^2+7x-6 by x+2	$x^{3} + 7 x^{2} + 7 x - 6$ by $x + 2$
11490	Solve for c	2c-4=3(4-2c)	$2 c - 4 = 3 (4 - 2 c)$
11491	Simplify/Condense	1/2* log base 3 of 9x+3/2* log base 3 of 4x^3	$\frac{1}{2} \cdot \log_{3} (9 x) + \frac{3}{2} \cdot \log_{3} (4 x^{3})$
11492	Evaluate	10^(6x)=93	$10^{6 x} = 93$
11493	Find the First Term	a_n=((n+1)!)/((n+2)!)	$a_{n} = \frac{(n + 1)!}{(n + 2)!}$
11494	Divide	(k^3-30k-18-4k^2)÷(3+k)	$(k^{3} - 30 k - 18 - 4 k^{2}) \div (3 + k)$
11495	Combine Like Terms	x-2-x+x	$x - 2 - x + x$
11496	Solve the Function Operation	f(x)=x^7+2 ; find f^-1(x)	$f (x) = x^{7} + 2$ ; find $f^{- 1} (x)$
11497	Divide Using Synthetic Division	(k^3-30k-18-4k^2)÷(3+k)	$(k^{3} - 30 k - 18 - 4 k^{2}) \div (3 + k)$
11498	Find the GCF	15 and 20	$15$ and $20$
11499	Simplify	(b3/7)(b4/7)	$(b \frac{3}{7}) (b \frac{4}{7})$
11500	Evaluate	(6cd^-1)^-3	${(6 c d^{- 1})}^{- 3}$