Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
12001	Simplify	x-15<=-6	$x - 15 \leq - 6$
12002	Simplify	( square root of a^3)( square root of a^5)	$(\sqrt{a^{3}}) (\sqrt{a^{5}})$
12003	Simplify	12-8÷4+((6+2)-3)^2*3	$12 - 8 \div 4 + {((6 + 2) - 3)}^{2} \times 3$
12004	Solve for v	v^2=13v	$v^{2} = 13 v$
12005	Solve the Inequality for p	-5p>-30	$- 5 p > - 30$
12006	Find the x and y Intercepts	f(x)=(4x^2-1)/(x^2+7x)	$f (x) = \frac{4 x^{2} - 1}{x^{2} + 7 x}$
12007	Simplify	(-xy)^2	${(- x y)}^{2}$
12008	Simplify	(4x^7y^-1)/((5y)^2-7y^2)	$\frac{4 x^{7} y^{- 1}}{{(5 y)}^{2} - 7 y^{2}}$
12009	Write the Fraction in Simplest Form	(4z^-1)/(-3(z^5)^3)	$\frac{4 z^{- 1}}{- 3 {(z^{5})}^{3}}$
12010	Find the Antiderivative	cube root of x+1	$\sqrt[3]{x + 1}$
12011	Solve the Inequality for x	3(4-5x)>8x-149	$3 (4 - 5 x) > 8 x - 149$
12012	Solve the Rational Equation for x	(5x)/(x+2)=(3x)/(x+1)	$\frac{5 x}{x + 2} = \frac{3 x}{x + 1}$
12013	Evaluate	30% of 30	$30 %$ of $30$
12014	Simplify	(7m^4+6m^2+7)+(2m^4-3m^2+1)	$(7 m^{4} + 6 m^{2} + 7) + (2 m^{4} - 3 m^{2} + 1)$
12015	Simplify	11x-5(4(x+1))	$11 x - 5 (4 (x + 1))$
12016	Simplify	12(5(30-103)+2(6-23))+8(9(64÷4-44)+(42)÷2)	$12 (5 (30 - 10 \cdot 3) + 2 (6 - 2 \cdot 3)) + 8 (9 (64 \div 4 - 4 \cdot 4) + 4 \cdot 2 \div 2)$
12017	Simplify	fifth root of 2pq^6*2 square root of 2p^3q	$\sqrt[5]{2 p q^{6}} \cdot 2 \sqrt{2 p^{3} q}$
12018	Solve by Substitution	j+k=3 j-k=7	$j + k = 3$ $j - k = 7$
12019	Divide	((x^2-x-6)/(2x^4-6x^3))÷((x+2)/(4x^3))	$\frac{x^{2} - x - 6}{2 x^{4} - 6 x^{3}} \div \frac{x + 2}{4 x^{3}}$
12020	Graph	Graph y< = square root of x-5+2	Graph $y \leq \sqrt{x - 5} + 2$
12021	Evaluate	64^(2x+4)=16^(5x)	$64^{2 x + 4} = 16^{5 x}$
12022	Simplify	-12xy+7xz-3xz+5xy+z	$- 12 x y + 7 x z - 3 x z + 5 x y + z$
12023	Simplify	((3+6i)^2)/(2i)	$\frac{{(3 + 6 i)}^{2}}{2 i}$
12024	Simplify	x/(x-4)+2/(x^2-4x)	$\frac{x}{x - 4} + \frac{2}{x^{2} - 4 x}$
12025	Solve for x	4(4-x)+6x=x+16-4x	$4 (4 - x) + 6 x = x + 16 - 4 x$
12026	Evaluate	2x-y>10	$2 x - y > 10$
12027	Simplify	ax(2x-3a)-x(ax+5a^2)	$a x (2 x - 3 a) - x (a x + 5 a^{2})$
12028	Solve for x	81^(2x+5)=(1/3)^(2x)	$81^{2 x + 5} = {(\frac{1}{3})}^{2 x}$
12029	Simplify the Radical Expression	(16/3)^(-3/4)	${(\frac{16}{3})}^{- \frac{3}{4}}$
12030	Simplify	-5(3x^2-2x+2)-3x(4x-5)	$- 5 (3 x^{2} - 2 x + 2) - 3 x (4 x - 5)$
12031	Solve for h	2 cube root of h+5=4 cube root of 2h-15	$2 \sqrt[3]{h + 5} = 4 \sqrt[3]{2 h - 15}$
12032	Solve for p	7p+34=-2(1-5p)	$7 p + 34 = - 2 (1 - 5 p)$
12033	Simplify	3 fourth root of 32*(-6 fourth root of 5)	$3 \sqrt[4]{32} \cdot (- 6 \sqrt[4]{5})$
12034	Find the Antiderivative	(x+ square root of x+1)/( cube root of x)	$\frac{x + \sqrt{x} + 1}{\sqrt[3]{x}}$
12035	Find the Inflection Points	f(x)=2/15x^6+x^5-8x^4	$f (x) = \frac{2}{15} x^{6} + x^{5} - 8 x^{4}$
12036	Find the Integral	(x^2)/(x+1)	$\frac{x^{2}}{x + 1}$
12037	Evaluate the Limit	limit as x approaches 0 of (e^(2x)-1)/(3e^x-3)	$lim_{x \to 0} \frac{e^{2 x} - 1}{3 e^{x} - 3}$
12038	Find the Perpendicular Line	y-2=7/3(x+5) , (-4,9)	$y - 2 = \frac{7}{3} (x + 5)$ , $(- 4, 9)$
12039	Solve for S	SA=pirs+pir^2	$S A = π r s + π r^{2}$
12040	Solve the Function Operation	Let f(x)=-5x+3 and g(x)=6x-2 Find f*g and its domain.	Let $f (x) = - 5 x + 3$ and $g (x) = 6 x - 2$ Find $f \cdot g$ and its domain.
12041	Simplify	((x^-3y)/(xz^-4))^-2	${(\frac{x^{- 3} y}{x z^{- 4}})}^{- 2}$
12042	Evaluate	(2^55^22-25^21)/(25^10)	$\frac{2^{5} \cdot 5^{22} - 2 \cdot 5^{21}}{25^{10}}$
12043	Solve for k	(1/216)^(-2k)=(1/36)^(k+2)	${(\frac{1}{216})}^{- 2 k} = {(\frac{1}{36})}^{k + 2}$
12044	Convert to Radical Form	(125)(2/3)	$(125) (\frac{2}{3})$
12045	Find the Inflection Points	1/6x^6+x^5-5x^4	$\frac{1}{6} x^{6} + x^{5} - 5 x^{4}$
12046	Simplify	5y^6+(-8y^6)	$5 y^{6} + (- 8 y^{6})$
12047	Graph	-(6+2x)=4x-2(x+1)	$- (6 + 2 x) = 4 x - 2 (x + 1)$
12048	Graph	D={x\|x>=0}	$D = {x \| x \geq 0}$
12049	Find the Antiderivative	f(x)=1/((5x-1)^4)	$f (x) = \frac{1}{{(5 x - 1)}^{4}}$
12050	Find the Distance Between Two Points	What is the distance between the points (3,5) and (6,9) ?	What is the distance between the points $(3, 5)$ and $(6, 9)$ ?
12051	Solve the Inequality for y	y/6<=2	$\frac{y}{6} \leq 2$
12052	Simplify	7/(16x^3)-3/(8x^2)	$\frac{7}{16 x^{3}} - \frac{3}{8 x^{2}}$
12053	Find dy/dx	-3y-1-y^3-x^3=-y^2	$- 3 y - 1 - y^{3} - x^{3} = - y^{2}$
12054	Find the Next Term	1 , 2 , 4 , 8 , 16 , 32 , 64 , 128 , 256 , 512	$1$ , $2$ , $4$ , $8$ , $16$ , $32$ , $64$ , $128$ , $256$ , $512$
12055	Find the Domain and Range	(2x-1)/x	$\frac{2 x - 1}{x}$
12056	Solve for C	D=(C-S)/n	$D = \frac{C - S}{n}$
12057	Solve for x	6/x-(2x+1)/(2x)=9/2	$\frac{6}{x} - \frac{2 x + 1}{2 x} = \frac{9}{2}$
12058	Simplify	( fourth root of 3)( square root of 2)	$(\sqrt[4]{3}) (\sqrt{2})$
12059	Solve by Addition/Elimination	4/3x-1/2y=2 4/3x+7/4y=11	$\frac{4}{3} x - \frac{1}{2} y = 2$ $\frac{4}{3} x + \frac{7}{4} y = 11$
12060	Solve by Substitution	y=-1+3/8x 2x-5y=6	$y = - 1 + \frac{3}{8} x$ $2 x - 5 y = 6$
12061	Evaluate	(pi/2)÷(1/2)	$\frac{π}{2} \div \frac{1}{2}$
12062	Solve the Function Operation	f(n)=x^2+1 g(n)=2x-5 find f(n)-g(n)	$f (n) = x^{2} + 1$ $g (n) = 2 x - 5$ find $f (n) - g (n)$
12063	Simplify	5x^5+2x^2-7-4x^4	$5 x^{5} + 2 x^{2} - 7 - 4 x^{4}$
12064	Solve the System of Equations	-3x+4y-z=-10 x+6y-z=-6 -2x-5y+z=2	$- 3 x + 4 y - z = - 10$ $x + 6 y - z = - 6$ $- 2 x - 5 y + z = 2$
12065	Find the Antiderivative	f(x)=15x^4+x	$f (x) = 15 x^{4} + x$
12066	Simplify	(6x^7y^3z^9)/(3x^6y^3z)	$\frac{6 x^{7} y^{3} z^{9}}{3 x^{6} y^{3} z}$
12067	Solve for y	(y^2-17)^2-16(y^2-17)+64=0	${(y^{2} - 17)}^{2} - 16 (y^{2} - 17) + 64 = 0$
12068	Simplify	x^(7/2)*y^(8/2)	$x^{\frac{7}{2}} \cdot y^{\frac{8}{2}}$
12069	Write in Standard Form	10-3x^2+x^5+4x^3	$10 - 3 x^{2} + x^{5} + 4 x^{3}$
12070	Find the Points of Intersection	3x-6y=12 4x-8y=16	$3 x - 6 y = 12$ $4 x - 8 y = 16$
12071	Solve for x	square root of (8^(x-1))/(2^x)=32^(x+3)	$\sqrt{\frac{8^{x - 1}}{2^{x}}} = 32^{x + 3}$
12072	Find the Product	-2x^a(-4x^b-2x^3+5x)	$- 2 x^{a} (- 4 x^{b} - 2 x^{3} + 5 x)$
12073	Solve for x	9x^2=-3x+1	$9 x^{2} = - 3 x + 1$
12074	Find the Derivative - d/dx	e^(-x)+e^(2x)	$e^{- x} + e^{2 x}$
12075	Divide Using Long Polynomial Division	(3x^3+4x+11)/(x^2-3x+2)	$\frac{3 x^{3} + 4 x + 11}{x^{2} - 3 x + 2}$
12076	Write in Standard Form	16x^2-224x=9y^2+18y-631	$16 x^{2} - 224 x = 9 y^{2} + 18 y - 631$
12077	Simplify the Radical Expression	(3^(-2/3)*3^(1/3))^-1	${(3^{- \frac{2}{3}} \cdot 3^{\frac{1}{3}})}^{- 1}$
12078	Find the Exact Value	sin(90 degrees )+cot(45 degrees )	$\sin (90 °) + \cot (45 °)$
12079	Solve for q	-0.7q+0.296-4q=-0.304-4.9q	$- 0.7 q + 0.296 - 4 q = - 0.304 - 4.9 q$
12080	Graph	4*(1/2)^x	$4 \cdot {(\frac{1}{2})}^{x}$
12081	Solve for n	2n(4n+5)+6=0	$2 n (4 n + 5) + 6 = 0$
12082	Simplify	square root of (16a^2b^9c^3)/(36a^4b^5c^6)	$\sqrt{\frac{16 a^{2} b^{9} c^{3}}{36 a^{4} b^{5} c^{6}}}$
12083	Solve the Inequality for x	2 log of x< log of 2-x	$2 \log (x) < \log (2 - x)$
12084	Solve for x	(3x)/(x-3)-(3x+2)/(x-5)=x/(x-5)	$\frac{3 x}{x - 3} - \frac{3 x + 2}{x - 5} = \frac{x}{x - 5}$
12085	Solve the Function Operation	f(x) = square root of x-10 ; find f^-1(x)	$f (x) = \sqrt{x - 10}$ ; find $f^{- 1} (x)$
12086	Find f(g(x))	f(x)=4x-3 and g(x)=1/4x+3	$f (x) = 4 x - 3$ and $g (x) = \frac{1}{4} x + 3$
12087	Simplify	2(4x^2-2x)-3(-6x^2+4)+2x(x-1)	$2 (4 x^{2} - 2 x) - 3 (- 6 x^{2} + 4) + 2 x (x - 1)$
12088	Simplify	-1/2c(4c-2)	$- \frac{1}{2} c (4 c - 2)$
12089	Simplify	-(-2a+13)+(-9a-2)-(-7a-3)	$- (- 2 a + 13) + (- 9 a - 2) - (- 7 a - 3)$
12090	Find the Derivative - d/dx	arctanh(e^x)	$arctanh (e^{x})$
12091	Solve the Inequality for x	sin(x)>=0	$\sin (x) \geq 0$
12092	Solve the Function Operation	Sales of 10 , 0 increase by 65% each yr	Sales of $10$ , $0$ increase by $65 %$ each $year$
12093	Solve the Inequality for t	3t+7<28	$3 t + 7 < 28$
12094	Subtract	4x^2-7 and 6x^2-5	$4 x^{2} - 7$ and $6 x^{2} - 5$
12095	Simplify	6 square root of 8c^3d^5*4 square root of 2cd^3	$6 \sqrt{8 c^{3} d^{5}} \cdot 4 \sqrt{2 c d^{3}}$
12096	Find the Degree, Leading Term, and Leading Coefficient	f(t)=1/10t^2(t-4)^3(t+5)^2	$f (t) = \frac{1}{10} t^{2} {(t - 4)}^{3} {(t + 5)}^{2}$
12097	Solve for x	1/10+(2x+7)/(10x)=1	$\frac{1}{10} + \frac{2 x + 7}{10 x} = 1$
12098	Solve for y	y-4 = square root of 2y	$y - 4 = \sqrt{2 y}$
12099	Solve the Rational Equation for x	cube root of x-2=3	$\sqrt[3]{x - 2} = 3$
12100	Simplify	(5x^(3m))(2x^(2m))	$(5 x^{3 m}) (2 x^{2 m})$