Mathway | Popular Problems

Popular Problems

Rank	Topic	Problem	Formatted Problem
222701	Evaluate	60(5/6)^3	$60 {(\frac{5}{6})}^{3}$
222702	Evaluate	\|x\|<4	$\| x \| < 4$
222703	Find the x and y Intercepts	f(x)=-3x^4+x^3-2x^2+x-1	$f (x) = - 3 x^{4} + x^{3} - 2 x^{2} + x - 1$
222704	Solve for x	1/2(5x+b)=3	$\frac{1}{2} (5 x + b) = 3$
222705	Evaluate	(81x^7y^11)^(1/3)	${(81 x^{7} y^{11})}^{\frac{1}{3}}$
222706	Simplify	(7a^-3)	$(7 a^{- 3})$
222707	Evaluate	50+6(12÷4)-8^2	$50 + 6 (12 \div 4) - 8^{2}$
222708	Solve the Inequality for b	-6<b-4<2	$- 6 < b - 4 < 2$
222709	Simplify	(-6x^3-4x^2-8)+(x^3-x^2-9x+4)	$(- 6 x^{3} - 4 x^{2} - 8) + (x^{3} - x^{2} - 9 x + 4)$
222710	Simplify	4t^3u(2t^2u^2-10tu^4+2)	$4 t^{3} u (2 t^{2} u^{2} - 10 t u^{4} + 2)$
222711	Find the Exact Value	cot((3pi)/2)+cos((3pi)/2)	$\cot (\frac{3 π}{2}) + \cos (\frac{3 π}{2})$
222712	Solve for x	7=x+2x-5-5x	$7 = x + 2 x - 5 - 5 x$
222713	Solve by Substitution	2x+9y=27 and x-3y=-24	$2 x + 9 y = 27$ and $x - 3 y = - 24$
222714	Divide	(2/25)÷1 1/10	$\frac{2}{25} \div 1 \frac{1}{10}$
222715	Subtract	(x^2+5x)/(x+7)-14/(x+7)	$\frac{x^{2} + 5 x}{x + 7} - \frac{14}{x + 7}$
222716	Solve for x	(1/3)^(x+1)=27^x	${(\frac{1}{3})}^{x + 1} = 27^{x}$
222717	Describe the Transformation	f(x)=6^x , g(x)=6^x+8	$f (x) = 6^{x}$ , $g (x) = 6^{x} + 8$
222718	Evaluate	(1/x)^0	${(\frac{1}{x})}^{0}$
222719	Evaluate	(cot((3pi)/2)-cot(pi/3))/((3pi)/2-pi/3)	$\frac{\cot (\frac{3 π}{2}) - \cot (\frac{π}{3})}{\frac{3 π}{2} - \frac{π}{3}}$
222720	Simplify	(5i)^2(-x+i)	${(5 i)}^{2} (- x + i)$
222721	Solve the System of Equations	x+y=5 y+1=3x^2+2x	$x + y = 5$ $y + 1 = 3 x^{2} + 2 x$
222722	Evaluate	(0.5^2-2*0.5+4)	$({0.5}^{2} - 2 \cdot 0.5 + 4)$
222723	Solve for d	d^2=0	$d^{2} = 0$
222724	Simplify	square root of -8-2 square root of -50+ square root of 27-i square root of 108	$\sqrt{- 8} - 2 \sqrt{- 50} + \sqrt{27} - i \sqrt{108}$
222725	Evaluate	5*(1/2)^1	$5 \cdot {(\frac{1}{2})}^{1}$
222726	Solve for x	(1/8)^(3x)*64^(2x+1)=4	${(\frac{1}{8})}^{3 x} \cdot 64^{2 x + 1} = 4$
222727	Divide Using Long Polynomial Division	Use the long division method to find the result when 2x^3+7x^2+9x+10 is divided by 2x+5	Use the long division method to find the result when $2 x^{3} + 7 x^{2} + 9 x + 10$ is divided by $2 x + 5$
222728	Multiply	3(1)^2	$3 {(1)}^{2}$
222729	Simplify	2/(3/2-4/3)	$\frac{2}{\frac{3}{2} - \frac{4}{3}}$
222730	Solve for x	3/4(x+21)=10 1/2	$\frac{3}{4} (x + 21) = 10 \frac{1}{2}$
222731	Simplify	(2i)/( square root of 3i)	$\frac{2 i}{\sqrt{3} i}$
222732	Evaluate	3+ square root of x+2=11	$3 + \sqrt{x + 2} = 11$
222733	Solve the Inequality for x	-2<5+3x<20	$- 2 < 5 + 3 x < 20$
222734	Simplify	6-a+4-12a-11	$6 - a + 4 - 12 a - 11$
222735	Find the x and y Intercepts	f(x)=4(4x+3)(x+1)^2(x^2-3)	$f (x) = 4 (4 x + 3) {(x + 1)}^{2} (x^{2} - 3)$
222736	Find the GCF	12ab^3+20b	$12 a b^{3} + 20 b$
222737	Evaluate	1/(sec(x))	$\frac{1}{\sec (x)}$
222738	Write in Standard Form	a^2+4a-5a^2-a	$a^{2} + 4 a - 5 a^{2} - a$
222739	Evaluate	((3x^2y^-3)/(2x^-3y^2))^3	${(\frac{3 x^{2} y^{- 3}}{2 x^{- 3} y^{2}})}^{3}$
222740	Find the Equation Using Two Points	f(-3)=1 and f(13)=5	$f (- 3) = 1$ and $f (13) = 5$
222741	Solve for y	c=9(y+k)	$c = 9 (y + k)$
222742	Simplify	((24-6x)/(x^2-10x+24)*(x^2-8x+12)/(10-x))÷((x^2+8x-20)/(100x-x^3))	$\frac{24 - 6 x}{x^{2} - 10 x + 24} \cdot \frac{x^{2} - 8 x + 12}{10 - x} \div \frac{x^{2} + 8 x - 20}{100 x - x^{3}}$
222743	Find the Excluded Values	((-x^2+x+20)/(5x^2-25x))÷((x+4)/(2x-14))	$\frac{- x^{2} + x + 20}{5 x^{2} - 25 x} \div \frac{x + 4}{2 x - 14}$
222744	Simplify	((-x^2+x+20)/(5x^2-25x))÷((x+4)/(2x-14))	$\frac{- x^{2} + x + 20}{5 x^{2} - 25 x} \div \frac{x + 4}{2 x - 14}$
222745	Solve the Inequality for x	(x+3)/8-(x+5)/5>=3/10	$\frac{x + 3}{8} - \frac{x + 5}{5} \geq \frac{3}{10}$
222746	Simplify	(2x^2+3x+5)-(x^3-2x^2+5)	$(2 x^{2} + 3 x + 5) - (x^{3} - 2 x^{2} + 5)$
222747	Simplify	(2f^4-5f^3-3f^2)-(4f^4-3f^3-f^2-4f)	$(2 f^{4} - 5 f^{3} - 3 f^{2}) - (4 f^{4} - 3 f^{3} - f^{2} - 4 f)$
222748	Solve the System of Equations	-2y=-x+7 and 8y=4x-10	$- 2 y = - x + 7$ and $8 y = 4 x - 10$
222749	Solve for x	(x-3)^2+(x-6)^2=x^2	${(x - 3)}^{2} + {(x - 6)}^{2} = x^{2}$
222750	Solve for m	(8m-9)=(21m-17)	$(8 m - 9) = (21 m - 17)$
222751	Solve for x	-1/2(-10x+6)+x=3/2(6x-4)	$- \frac{1}{2} (- 10 x + 6) + x = \frac{3}{2} (6 x - 4)$
222752	Simplify	(5x-y^3)^3	${(5 x - y^{3})}^{3}$
222753	Simplify	(3 square root of 8)+(2 square root of 2)	$(3 \sqrt{8}) + (2 \sqrt{2})$
222754	Evaluate	60/1*pi/180	$\frac{60}{1} \cdot \frac{π}{180}$
222755	Evaluate	i^9i^10i^19*i^24	$i^{9} \cdot i^{10} \cdot i^{19} \cdot i^{24}$
222756	Solve the Inequality for x	x^2+16x+24>6x	$x^{2} + 16 x + 24 > 6 x$
222757	Graph	- square root of 4-x^2	$- \sqrt{4 - x^{2}}$
222758	Find the Midpoint	A=(3,5) and B=(5,9)	$A = (3, 5)$ and $B = (5, 9)$
222759	Solve for c	9x+3=cx+3+4x	$9 x + 3 = c x + 3 + 4 x$
222760	Simplify	(d^-2e^3)/(e^-5d^7)	$\frac{d^{- 2} e^{3}}{e^{- 5} d^{7}}$
222761	Solve for x	-x=6.8x-4(2.2x-6)-10	$- x = 6.8 x - 4 (2.2 x - 6) - 10$
222762	Factor	4x(5x^2-3)-5(5x^2-3)	$4 x (5 x^{2} - 3) - 5 (5 x^{2} - 3)$
222763	Write the Fraction in Simplest Form	(3q^2)/(-2(p^3q^-5)^-1)	$\frac{3 q^{2}}{- 2 {(p^{3} q^{- 5})}^{- 1}}$
222764	Solve for x	-3/7+5/x=-1/(7x)	$\frac{- 3}{7} + \frac{5}{x} = \frac{- 1}{7 x}$
222765	Find the Standard Form of the Parabola	y^2+8x+8=0	$y^{2} + 8 x + 8 = 0$
222766	Simplify	(x+y)(x^2+xy+y^2)	$(x + y) (x^{2} + x y + y^{2})$
222767	Multiply	(p+10)/(9-p)*(p^2-5p-36)/(4p^2+16p)	$\frac{p + 10}{9 - p} \cdot \frac{p^{2} - 5 p - 36}{4 p^{2} + 16 p}$
222768	Evaluate	sec(theta) = square root of 2	$\sec (θ) = \sqrt{2}$
222769	Solve for z	3+z/4+5=19	$3 + \frac{z}{4} + 5 = 19$
222770	Solve the System of Equations	-x+2y=-4 and -6x+9y=-12	$- x + 2 y = - 4$ and $- 6 x + 9 y = - 12$
222771	Multiply	5a(-3b)(-2a^2b^3)	$5 a (- 3 b) (- 2 a^{2} b^{3})$
222772	Solve for k	sin(4x)^2=1/2(1-cos(kx))	$\sin^{2} (4 x) = \frac{1}{2} (1 - \cos (k x))$
222773	Solve the System of Equations	-3z=-9 3y+5z=-3 -2x+2y+5z=-3	$- 3 z = - 9$ $3 y + 5 z = - 3$ $- 2 x + 2 y + 5 z = - 3$
222774	Find the Exact Value	csc((7pi)/4)^2	$\csc^{2} (\frac{7 π}{4})$
222775	Evaluate	85% of 60	$85 %$ of $60$
222776	Find the x and y Intercepts	f(x)=((x+1)(x-1))/(x+2)	$f (x) = \frac{(x + 1) (x - 1)}{x + 2}$
222777	Simplify	(3+ square root of 2x)^2	${(3 + \sqrt{2 x})}^{2}$
222778	Graph	xy^2=2+xy	$x y^{2} = 2 + x y$
222779	Evaluate	cube root of 5x* cube root of 25x^2	$\sqrt[3]{5 x} \cdot \sqrt[3]{25 x^{2}}$
222780	Solve the Rational Equation for x	square root of x+ square root of x-8=2	$\sqrt{x} + \sqrt{x - 8} = 2$
222781	Solve for x	square root of x-4 = square root of 2x	$\sqrt{x - 4} = \sqrt{2 x}$
222782	Solve the Inequality for x	x^3+7x^2+10x>=0	$x^{3} + 7 x^{2} + 10 x \geq 0$
222783	Find the Union	[-2,4] intersect [4,infinity)	$[- 2, 4] \cap [4, \infty)$
222784	Expand Using Pascal's Triangle	(2x-3y^2)^3	${(2 x - 3 y^{2})}^{3}$
222785	Evaluate the Function	f(x)=x^5-47x^3-16x^2+8x+52 at x=7	$f (x) = x^{5} - 47 x^{3} - 16 x^{2} + 8 x + 52$ at $x = 7$
222786	Simplify	(15/6)^0	${(\frac{15}{6})}^{0}$
222787	Solve the Inequality for x	21>=3(x-7)+9	$21 \geq 3 (x - 7) + 9$
222788	Evaluate	7/( square root of 9-7^2)	$\frac{7}{\sqrt{9 - 7^{2}}}$
222789	Simplify	(\|x-2\|)/( square root of x)	$\frac{\| x - 2 \|}{\sqrt{x}}$
222790	Simplify	(3 square root of x^2)^6	${(3 \sqrt{x^{2}})}^{6}$
222791	Solve for w	4/(w+4)=8/(2w+8)-3	$\frac{4}{w + 4} = \frac{8}{2 w + 8} - 3$
222792	Round to the Nearest Whole Number	1/8	$\frac{1}{8}$
222793	Evaluate	e^x=e^(x^2-2)	$e^{x} = e^{x^{2} - 2}$
222794	Multiply	4d(d^3-d^2)	$4 d (d^{3} - d^{2})$
222795	Evaluate	e=mc^2	$e = m c^{2}$
222796	Simplify	((5n)/-3)^-3	${(\frac{5 n}{- 3})}^{- 3}$
222797	Simplify	1/(5x^3)+1/(15x)	$\frac{1}{5 x^{3}} + \frac{1}{15 x}$
222798	Evaluate	(sin(2)(-0.1))/-0.1	$\frac{\sin (2) (- 0.1)}{- 0.1}$
222799	Simplify	(-3x^2+4x-1)+(-5+4x+2x^2)	$(- 3 x^{2} + 4 x - 1) + (- 5 + 4 x + 2 x^{2})$
222800	Solve for x	5/4(x+1/5)=21/4	$\frac{5}{4} (x + \frac{1}{5}) = \frac{21}{4}$