Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
184801	Solve the System of Inequalities	-3<4x-9<11	$- 3 < 4 x - 9 < 11$
184802	Simplify	7/(7^(1/3))	$\frac{7}{7^{\frac{1}{3}}}$
184803	Factor	2x^3-3x^2+1	$2 x^{3} - 3 x^{2} + 1$
184804	Divide	12 5/8÷3 19/24	$12 \frac{5}{8} \div 3 \frac{19}{24}$
184805	Evaluate Using the Given Value	15/r-1 when r=5	$\frac{15}{r} - 1$ when $r = 5$
184806	Evaluate	square root of (- square root of 3)^2+(-1)^2	$\sqrt{{(- \sqrt{3})}^{2} + {(- 1)}^{2}}$
184807	Simplify	(2x+3)/(-(3+2x))	$\frac{2 x + 3}{- (3 + 2 x)}$
184808	Solve Using the Quadratic Formula	15x^4-11x^2+2=0	$15 x^{4} - 11 x^{2} + 2 = 0$
184809	Find the Focus	x=-1/4(y+2)^2	$x = - \frac{1}{4} {(y + 2)}^{2}$
184810	Simplify	(-x^2+x)+(4x^2-x-1)	$(- x^{2} + x) + (4 x^{2} - x - 1)$
184811	Find the x and y Intercepts	f(x)=(x^2-4)(5-x)	$f (x) = (x^{2} - 4) (5 - x)$
184812	Simplify	square root of 1/(x-1)	$\sqrt{\frac{1}{x - 1}}$
184813	Solve the Inequality for x	x+6<=8	$x + 6 \leq 8$
184814	Solve for x	a/3=2/5x-1	$\frac{a}{3} = \frac{2}{5} x - 1$
184815	Simplify	(-3x^2+13x-12)/(2x^2-x-15)	$\frac{- 3 x^{2} + 13 x - 12}{2 x^{2} - x - 15}$
184816	Find the Product	(3x+2)(x-7)	$(3 x + 2) (x - 7)$
184817	Simplify	(17z^3+17z^2)/(34z^3-51z^2)	$\frac{17 z^{3} + 17 z^{2}}{34 z^{3} - 51 z^{2}}$
184818	Solve for x	15/x+(x-3)/2=4	$\frac{15}{x} + \frac{x - 3}{2} = 4$
184819	Simplify	((2x^3)/(2y^2-7y-4))÷((6x^5)/(x^2-y^2))*(12-3y)/(x-y)	$\frac{2 x^{3}}{2 y^{2} - 7 y - 4} \div \frac{6 x^{5}}{x^{2} - y^{2}} \cdot \frac{12 - 3 y}{x - y}$
184820	Factor	mx+m^2+xy+my	$m x + m^{2} + x y + m y$
184821	Solve for x	6+x/(x+1)=1/(x^2+x)	$6 + \frac{x}{x + 1} = \frac{1}{x^{2} + x}$
184822	Solve the System of Equations	2x+y-z=-3 x-y+3z=-2 -4x-3y+2z=1	$2 x + y - z = - 3$ $x - y + 3 z = - 2$ $- 4 x - 3 y + 2 z = 1$
184823	Solve for x	-3^(-x)-6=-3^x+10	$- 3^{- x} - 6 = - 3^{x} + 10$
184824	Simplify	(2x^2)/(10x^3-2x^2)	$\frac{2 x^{2}}{10 x^{3} - 2 x^{2}}$
184825	Evaluate	4(30-(10-2)*3)	$4 (30 - (10 - 2) \cdot 3)$
184826	Solve for x	cos(x)=-1/2	$\cos (x) = \frac{- 1}{2}$
184827	Factor	y=(3x^2-12)/(8x^2-18x+4)	$y = \frac{3 x^{2} - 12}{8 x^{2} - 18 x + 4}$
184828	Simplify the Radical Expression	square root of 4x	$\sqrt{4 x}$
184829	Find the x and y Intercepts	f(x)=-5x-9+4x^2+5x^3	$f (x) = - 5 x - 9 + 4 x^{2} + 5 x^{3}$
184830	Solve the Inequality for x	x^3+4x^2>x+4	$x^{3} + 4 x^{2} > x + 4$
184831	Solve for x	49-2/3x=32-1/6x	$49 - \frac{2}{3} x = 32 - \frac{1}{6} x$
184832	Solve for x	(45-3x)1/2=x-9	$(45 - 3 x) \frac{1}{2} = x - 9$
184833	Find the Exact Value	cos(75 degrees )-cos(15 degrees )	$\cos (75 °) - \cos (15 °)$
184834	Graph	y=-2cos(x/2-(3pi)/8)+2	$y = - 2 \cos (\frac{x}{2} - \frac{3 π}{8}) + 2$
184835	Simplify	-4x square root of 125x^2+5 square root of 125x^4	$- 4 x \sqrt{125 x^{2}} + 5 \sqrt{125 x^{4}}$
184836	Multiply	6/8*5	$\frac{6}{8} \cdot 5$
184837	Simplify	1/(1/x-4)	$\frac{1}{\frac{1}{x} - 4}$
184838	Solve for n	1/2(10+12n)=1/3(15n+15)	$\frac{1}{2} (10 + 12 n) = \frac{1}{3} (15 n + 15)$
184839	Evaluate	infinity^-1	$\infty^{- 1}$
184840	Solve for a	((x^(1/3))^5)/( cube root of x^4)=x^a	$\frac{{(x^{\frac{1}{3}})}^{5}}{\sqrt[3]{x^{4}}} = x^{a}$
184841	Simplify	cos(15 degrees )	$\cos (15 °)$
184842	Solve for b	(2pi)/b=2pi	$\frac{2 π}{b} = 2 π$
184843	Simplify	(16x^4y^-3z^4)/(36x^-2yz^0)	$\frac{16 x^{4} y^{- 3} z^{4}}{36 x^{- 2} y z^{0}}$
184844	Simplify	square root of 5*-2 square root of 5	$\sqrt{5} \cdot - 2 \sqrt{5}$
184845	Solve for x	x/(x-1)+5x=1/(x-1)	$\frac{x}{x - 1} + 5 x = \frac{1}{x - 1}$
184846	Solve for X	X^4=2	$X^{4} = 2$
184847	Find the Domain and Range	2x^2+y=8x-6	$2 x^{2} + y = 8 x - 6$
184848	Simplify	cube root of y(7 cube root of 8y^2- cube root of y^5-4y cube root of 27y^2)	$\sqrt[3]{y} (7 \sqrt[3]{8 y^{2}} - \sqrt[3]{y^{5}} - 4 y \sqrt[3]{27 y^{2}})$
184849	Graph Using a Table of Values	g(x)=9^x	$g (x) = 9^{x}$
184850	Solve by Substitution	y=x+3 y=x^2+2x-4	$y = x + 3$ $y = x^{2} + 2 x - 4$
184851	Solve for w	w/-5<=16	$\frac{w}{- 5} \leq 16$
184852	Simplify	(a^2b^0)/(3a^4)	$\frac{a^{2} b^{0}}{3 a^{4}}$
184853	Divide	(y/15)÷((2y)/3)	$\frac{y}{15} \div \frac{2 y}{3}$
184854	Solve the System of Equations	10x-y=53 y=(-13x+92)/2	$10 x - y = 53$ $y = \frac{- 13 x + 92}{2}$
184855	Solve the System of Inequalities	-15<=2x-9<5	$- 15 \leq 2 x - 9 < 5$
184856	Simplify	-4(b+6)-2b(1-4b)	$- 4 (b + 6) - 2 b (1 - 4 b)$
184857	Combine Like Terms	3g+6(-g+(-5))	$3 g + 6 (- g + (- 5))$
184858	Simplify	20 square root of -1/100-12 square root of -1/16	$20 \sqrt{\frac{- 1}{100}} - 12 \sqrt{- \frac{1}{16}}$
184859	Evaluate	5^(4n)>33	$5^{4 n} > 33$
184860	Solve for x	square root of x-8 = square root of x+4	$\sqrt{x} - 8 = \sqrt{x + 4}$
184861	Find the Distance Between Two Points	(-2,-9) and (3,3)	$(- 2, - 9)$ and $(3, 3)$
184862	Factor	(a-2b)(3x-5y)+(2b-a)(x-y)	$(a - 2 b) (3 x - 5 y) + (2 b - a) (x - y)$
184863	Graph	y>-1/2x	$y > - \frac{1}{2} x$
184864	Solve for h	f=1/4(g+h-k)	$f = \frac{1}{4} (g + h - k)$
184865	Find the x and y Intercepts	F(x)=2*5^x	$F (x) = 2 \cdot 5^{x}$
184866	Simplify	(1-a)(a-a^2)+(1+a)(1+a^2)-2a(1+a)(a-1)	$(1 - a) (a - a^{2}) + (1 + a) (1 + a^{2}) - 2 a (1 + a) (a - 1)$
184867	Find the Distance Between Two Points	(7,4) and (4,-5)	$(7, 4)$ and $(4, - 5)$
184868	Find the Exact Value	1/2+2	$\frac{1}{2} + 2$
184869	Graph	f(x)=-1 if x<=-2; -x+4 if x>1	$f (x) = {\begin{cases} - 1 & x \leq - 2 \\ - x + 4 & x > 1 \end{cases}$
184870	Solve for x	(x+3)(x-3)=7	$(x + 3) (x - 3) = 7$
184871	Find the Domain and Range	f^-1(x)=(2x+1)/(5+x)	$f^{- 1} (x) = \frac{2 x + 1}{5 + x}$
184872	Find the Domain and Range	f^-1(x)=(x+1)/2	$f^{- 1} (x) = \frac{x + 1}{2}$
184873	Graph	y=-1/2(x+3)^2+4	$y = - \frac{1}{2} {(x + 3)}^{2} + 4$
184874	Graph	x+6<=-9	$x + 6 \leq - 9$
184875	Simplify	sixth root of x* square root of x	$\sqrt[6]{x} \cdot \sqrt{x}$
184876	Simplify	((9-s^2)/(3rs))÷((s^2+2s-15)/(5rs))	$\frac{9 - s^{2}}{3 r s} \div \frac{s^{2} + 2 s - 15}{5 r s}$
184877	Solve for a	a/5=b+3a	$\frac{a}{5} = b + 3 a$
184878	Simplify	1/2 square root of 18-6 square root of 32	$\frac{1}{2} \sqrt{18} - 6 \sqrt{32}$
184879	Solve for x	(2x+p)/q=(2x+q)/p	$\frac{2 x + p}{q} = \frac{2 x + q}{p}$
184880	Evaluate	(( square root of 3)/2)^2+(1/2)^2	${(\frac{\sqrt{3}}{2})}^{2} + {(\frac{1}{2})}^{2}$
184881	Simplify	(8x-4-4x^2)+(7x^2-9x-6)	$(8 x - 4 - 4 x^{2}) + (7 x^{2} - 9 x - 6)$
184882	Solve for m	9m-(6m-7)=2(m-3)	$9 m - (6 m - 7) = 2 (m - 3)$
184883	Find the Product	(5c+2/3)(5c-2/3)	$(5 c + \frac{2}{3}) (5 c - \frac{2}{3})$
184884	Simplify	(zzzzzzz)/(z*z)	$\frac{z \cdot z \cdot z \cdot z \cdot z \cdot z \cdot z}{z \cdot z}$
184885	Solve for x	3^x=-1	$3^{x} = - 1$
184886	Solve the Inequality for x	x>=6-x	$x \geq 6 - x$
184887	Find the LCM	2 , 3 , 4 , 5	$2$ , $3$ , $4$ , $5$
184888	Solve the System of Equations	-x+4y+z=10 x+2y+3z=4 2x-3y+2z=-7	$- x + 4 y + z = 10$ $x + 2 y + 3 z = 4$ $2 x - 3 y + 2 z = - 7$
184889	Evaluate the Function	c(-2)=t^2-2t-4	$c (- 2) = t^{2} - 2 t - 4$
184890	Solve for x	(2x)/3-3/4=x/6+21/4	$\frac{2 x}{3} - \frac{3}{4} = \frac{x}{6} + \frac{21}{4}$
184891	Write in Standard Form	(3t^2-5t+6)+(-8t^2+7t-9)	$(3 t^{2} - 5 t + 6) + (- 8 t^{2} + 7 t - 9)$
184892	Solve the System of Inequalities	4<=-3x-1<=9	$4 \leq - 3 x - 1 \leq 9$
184893	Find the Product	(3x+2y)(3x-2y)	$(3 x + 2 y) (3 x - 2 y)$
184894	Solve the Inequality for x	(x-2)(x-7)^2<0	$(x - 2) {(x - 7)}^{2} < 0$
184895	Simplify	(e^(x^2))^2	${(e^{x^{2}})}^{2}$
184896	Solve the System of Inequalities	8c+3t>350 2c+5t<350	$8 c + 3 t > 350$ $2 c + 5 t < 350$
184897	Solve the System of Equations	3x+4y-6z=-60 7x-5y+z=-37 2x+3y-z=-29	$3 x + 4 y - 6 z = - 60$ $7 x - 5 y + z = - 37$ $2 x + 3 y - z = - 29$
184898	Solve for a	5/(a+b)=3	$\frac{5}{a + b} = 3$
184899	Evaluate	2(3y+6)-3(-4-y)	$2 (3 y + 6) - 3 (- 4 - y)$
184900	Solve the Inequality for x	(5x+7)/(x-1)<-2	$\frac{5 x + 7}{x - 1} < - 2$