Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
5901	Solve for z	square root of z-3=11- square root of z+8	$\sqrt{z - 3} = 11 - \sqrt{z + 8}$
5902	Solve for x	-3/2x^2=x+1	$- \frac{3}{2} x^{2} = x + 1$
5903	Simplify	((3rt)^2u^-4)/(r^-1t^2u^7)	$\frac{{(3 r t)}^{2} u^{- 4}}{r^{- 1} t^{2} u^{7}}$
5904	Evaluate	(100-(3*4)^2)/(2^2)	$\frac{100 - {(3 \cdot 4)}^{2}}{2^{2}}$
5905	Simplify	(6x+3x^3-5)-(5x^3+2x^2-3x-8)	$(6 x + 3 x^{3} - 5) - (5 x^{3} + 2 x^{2} - 3 x - 8)$
5906	Simplify	(1-2m^3+2m^4)-(5m^3+7-7m^4)	$(1 - 2 m^{3} + 2 m^{4}) - (5 m^{3} + 7 - 7 m^{4})$
5907	Find the Antiderivative	(x^3)/2-3x^-2-2x^3-x^(3/2)	$\frac{x^{3}}{2} - 3 x^{- 2} - 2 x^{3} - x^{\frac{3}{2}}$
5908	Solve for x	12+x-8=3+2x	$12 + x - 8 = 3 + 2 x$
5909	Simplify	(v^2-4v)/(5v^2+9v-2)-(2v+16)/(5v^2+9v-2)	$\frac{v^{2} - 4 v}{5 v^{2} + 9 v - 2} - \frac{2 v + 16}{5 v^{2} + 9 v - 2}$
5910	Simplify	( square root of 5+3)/(4- square root of 5)	$\frac{\sqrt{5} + 3}{4 - \sqrt{5}}$
5911	Multiply	1/255	$\frac{1}{2} \cdot 5 \cdot 5$
5912	Evaluate	2x^3y^-3*2x^-1y^3	$2 x^{3} y^{- 3} \cdot 2 x^{- 1} y^{3}$
5913	Find the Antiderivative	sin(x)^3*cos(x)	$\sin^{3} (x) \cdot \cos (x)$
5914	Simplify	((a^2+ax+x^2)/(ax+2ay))÷((a^3-x^3)/(bx+2by))	$\frac{a^{2} + a x + x^{2}}{a x + 2 a y} \div \frac{a^{3} - x^{3}}{b x + 2 b y}$
5915	Rationalize the Denominator	(5- square root of 21)/( square root of 3- square root of 7)	$\frac{5 - \sqrt{21}}{\sqrt{3} - \sqrt{7}}$
5916	Simplify	(6-8i)-(4i)+7	$(6 - 8 i) - (4 i) + 7$
5917	Simplify	(m^(3/4)n)^-2	${(m^{\frac{3}{4}} n)}^{- 2}$
5918	Simplify	(6^2)/((6^-2)^4)	$\frac{6^{2}}{{(6^{- 2})}^{4}}$
5919	Solve for x	xy-5x-7y+35=0	$x y - 5 x - 7 y + 35 = 0$
5920	Solve for y	3(5y-1)^(1/3)-2=0	$3 {(5 y - 1)}^{\frac{1}{3}} - 2 = 0$
5921	Solve the Inequality for x	cube root of x+7>=3	$\sqrt[3]{x + 7} \geq 3$
5922	Simplify	x-6<=3	$x - 6 \leq 3$
5923	Simplify the Radical Expression	square root of 2 square root of 8	$\sqrt{2} \sqrt{8}$
5924	Evaluate the Limit	limit as x approaches 0 from the right of cos(x)^(1/x)	$lim_{x \to 0^{+}} {\cos (x)}^{\frac{1}{x}}$
5925	Evaluate the Limit	limit as x approaches infinity of (-x^2-x)/(-3x^2)	$lim_{x \to \infty} \frac{- x^{2} - x}{- 3 x^{2}}$
5926	Solve for z	n=wSz ; for z	$n = w S z$ ; for $z$
5927	Solve for j	-8j-13=14j+15-18j	$- 8 j - 13 = 14 j + 15 - 18 j$
5928	Graph	y=(x^2-5)(x-1)^2(x-2)^3	$y = (x^{2} - 5) {(x - 1)}^{2} {(x - 2)}^{3}$
5929	Solve for j	-12j+6j+18=-20-4j	$- 12 j + 6 j + 18 = - 20 - 4 j$
5930	Simplify	3x^2((3x-6)/x)	$3 x^{2} (\frac{3 x - 6}{x})$
5931	Find the Antiderivative	x+1/x	$x + \frac{1}{x}$
5932	Add	-10a^2+6a^3+3a and -6a^3-4a+8a^2	$- 10 a^{2} + 6 a^{3} + 3 a$ and $- 6 a^{3} - 4 a + 8 a^{2}$
5933	Divide	((10x-8)/(x+2))÷((25x^2-16)/(2x-4))	$\frac{10 x - 8}{x + 2} \div \frac{25 x^{2} - 16}{2 x - 4}$
5934	Solve for r	square root of 3r+7=7	$\sqrt{3 r + 7} = 7$
5935	Determine if Odd, Even, or Neither	f(x)=(x^3+5x)	$f (x) = (x^{3} + 5 x)$
5936	Find the Degree, Leading Term, and Leading Coefficient	1/3+x^3	$\frac{1}{3} + x^{3}$
5937	Solve for z	Ag((3k)/2-z)=mgz	$A g (\frac{3 k}{2} - z) = mg z$
5938	Solve for p	square root of -10+7p=p	$\sqrt{- 10 + 7 p} = p$
5939	Simplify	(x^3-2x^2+3x+1)+(x^4-7x)	$(x^{3} - 2 x^{2} + 3 x + 1) + (x^{4} - 7 x)$
5940	Simplify	(x^-1*y^2)^3	${(x^{- 1} \cdot y^{2})}^{3}$
5941	Write in Standard Form	(X^2-3x+4)+(X^3+3x-4)	$(X^{2} - 3 x + 4) + (X^{3} + 3 x - 4)$
5942	Solve the Inequality for n	n-5>12	$n - 5 > 12$
5943	Simplify	3x square root of 25x^3-x square root of 4x^3+3x square root of 9x^3	$3 x \sqrt{25 x^{3}} - x \sqrt{4 x^{3}} + 3 x \sqrt{9 x^{3}}$
5944	Solve for x	square root of 11-x^2-2/( square root of 11-x^2)=1	$\sqrt{11 - x^{2}} - \frac{2}{\sqrt{11 - x^{2}}} = 1$
5945	Simplify	fourth root of 10^5* fourth root of 10	$\sqrt[4]{10^{5}} \cdot \sqrt[4]{10}$
5946	Solve for x	1/4x-1/5(x-6)=5x	$\frac{1}{4} x - \frac{1}{5} (x - 6) = 5 x$
5947	Find the Degree, Leading Term, and Leading Coefficient	1/2-x+x^5	$\frac{1}{2} - x + x^{5}$
5948	Simplify	0.5(8*10^5)	$0.5 (8 \cdot 10^{5})$
5949	Simplify	(8x^5+6x^3-2x^2+10x)-(9x^5-x^3-13x^2+4)	$(8 x^{5} + 6 x^{3} - 2 x^{2} + 10 x) - (9 x^{5} - x^{3} - 13 x^{2} + 4)$
5950	Simplify	(-xy)^4*(-3x^-2)^3	${(- x y)}^{4} \cdot {(- 3 x^{- 2})}^{3}$
5951	Solve for x	square root of 7 = square root of x-1	$\sqrt{7} = \sqrt{x - 1}$
5952	Add	(2.3x-1.2y)+(1.4x+3.7y)	$(2.3 x - 1.2 y) + (1.4 x + 3.7 y)$
5953	Evaluate the Function	2 , 400=7 , 500(10)^(-x)	$2$ , $400 = 7$ , $500 {(10)}^{- x}$
5954	Determine if a Polynomial	(a^4)/7+a^3-9a^5	$\frac{a^{4}}{7} + a^{3} - 9 a^{5}$
5955	Find the Degree, Leading Term, and Leading Coefficient	-(x^4)/5+5x^3-10	$- \frac{x^{4}}{5} + 5 x^{3} - 10$
5956	Solve the Inequality for x	5+x<2x-1	$5 + x < 2 x - 1$
5957	Solve the Rational Equation for x	9/(4x)-5/6=-13/(12x)	$\frac{9}{4 x} - \frac{5}{6} = - \frac{13}{12 x}$
5958	Evaluate the Limit	limit as x approaches 4 of 3x- square root of x	$lim_{x \to 4} 3 x - \sqrt{x}$
5959	Find the Domain	(kx+k^2)/(x^2)*x/(x+k)	$\frac{k x + k^{2}}{x^{2}} \cdot \frac{x}{x + k}$
5960	Solve the Inequality for x	square root of x^2-2x+1>=4	$\sqrt{x^{2} - 2 x + 1} \geq 4$
5961	Simplify	6x-4x^2-7x^3-9x^2-5x	$6 x - 4 x^{2} - 7 x^{3} - 9 x^{2} - 5 x$
5962	Simplify	(6/(5^3))^2	${(\frac{6}{5^{3}})}^{2}$
5963	Graph	y>-x y>=x	$y > - x$ $y \geq x$
5964	Evaluate the Integral	integral of (sin(x)^3)(cos(x)) with respect to x	$\int (\sin^{3} (x)) (\cos (x)) d x$
5965	Simplify	(2(x^2-4))/(4-2x)	$\frac{2 (x^{2} - 4)}{4 - 2 x}$
5966	Solve for x	(1/7)^(-2x^2-8x)=343^(-4x-14)	${(\frac{1}{7})}^{- 2 x^{2} - 8 x} = 343^{- 4 x - 14}$
5967	Solve for x	3 square root of 3x+3x=0	$3 \sqrt{3 x} + 3 x = 0$
5968	Factor	x(a-b)-(b-a)	$x (a - b) - (b - a)$
5969	Multiply	cube root of 6* cube root of 36	$\sqrt[3]{6} \cdot \sqrt[3]{36}$
5970	Simplify	-8+5(12+-12)+8	$- 8 + 5 (12 + - 12) + 8$
5971	Find the Antiderivative	2/(x^3)-4/(x^2)	$\frac{2}{x^{3}} - \frac{4}{x^{2}}$
5972	Solve for y	y-5/14=-1/7	$y - \frac{5}{14} = - \frac{1}{7}$
5973	Simplify	square root of 100x^3* cube root of 64x^10	$\sqrt{100 x^{3}} \cdot \sqrt[3]{64 x^{10}}$
5974	Solve for r	0.12+3.76r+0.16=3.6r-0.2	$0.12 + 3.76 r + 0.16 = 3.6 r - 0.2$
5975	Solve for x	(5x)/2-3=(2x-7)/6	$\frac{5 x}{2} - 3 = \frac{2 x - 7}{6}$
5976	Solve for x	x^3-3x^2+x-3=x^2+1	$x^{3} - 3 x^{2} + x - 3 = x^{2} + 1$
5977	Find All Complex Solutions	x^3+2x^2+x=0	$x^{3} + 2 x^{2} + x = 0$
5978	Solve for x	(1/8)^(3x^2+3x)=(1/64)^(6x-3)	${(\frac{1}{8})}^{3 x^{2} + 3 x} = {(\frac{1}{64})}^{6 x - 3}$
5979	Solve the System of Inequalities	y<6 y>x+3	$y < 6$ $y > x + 3$
5980	Find the Domain	(ab^3-9ab)/(12ab^2+12ab-144a)	$\frac{a b^{3} - 9 a b}{12 a b^{2} + 12 a b - 144 a}$
5981	Simplify	2y*(y^2)^3	$2 y \cdot {(y^{2})}^{3}$
5982	Solve for y	2y-5=4y	$2 y - 5 = 4 y$
5983	Multiply	(x^2-3x)/(x-2)*(x^2+x-6)/x	$\frac{x^{2} - 3 x}{x - 2} \cdot \frac{x^{2} + x - 6}{x}$
5984	Graph	f(x)=(-2x)/3+2	$f (x) = \frac{- 2 x}{3} + 2$
5985	Find the Domain and Range	y=-1/3 square root of x+1	$y = - \frac{1}{3} \sqrt{x + 1}$
5986	Simplify	(-4e^-2f^3)^2	${(- 4 e^{- 2} f^{3})}^{2}$
5987	Find the Maximum/Minimum Value	h(x)=x^5+x^4	$h (x) = x^{5} + x^{4}$
5988	Convert to Radical Form	1/((x-1)^(-1/2))	$\frac{1}{{(x - 1)}^{- \frac{1}{2}}}$
5989	Solve for t	t^3-3t^2-40t=0	$t^{3} - 3 t^{2} - 40 t = 0$
5990	Solve for x	2^(3x)3^x-2^(3x-1)3^(x+1)=-288	$2^{3 x} \cdot 3^{x} - 2^{3 x - 1} \cdot 3^{x + 1} = - 288$
5991	Evaluate the Function	g(2y)=x^3	$g (2 y) = x^{3}$
5992	Solve for x	log base a of x+2- log base a of x-1 = log base a of 4	$\log_{a} (x + 2) - \log_{a} (x - 1) = \log_{a} (4)$
5993	Find the Domain	(x+5)/(x^3-25x)*(2x^3-11x^2+5x)	$\frac{(x + 5)}{(x^{3} - 25 x)} \cdot (2 x^{3} - 11 x^{2} + 5 x)$
5994	Solve for x	4^x+2^(x+1)=8	$4^{x} + 2^{x + 1} = 8$
5995	Find the Roots (Zeros)	f(z)=-7z^4+z^2-25	$f (z) = - 7 z^{4} + z^{2} - 25$
5996	Find the Roots (Zeros)	2x^5-7x^4-5x^3+18x^2-1	$2 x^{5} - 7 x^{4} - 5 x^{3} + 18 x^{2} - 1$
5997	Solve for x	(x^2)/(x-10)=100/(x-10)-10	$\frac{x^{2}}{x - 10} = \frac{100}{x - 10} - 10$
5998	Simplify	(-(5y^2)/(x^6))(5x^4y)	$(- \frac{5 y^{2}}{x^{6}}) (5 x^{4} y)$
5999	Find the Domain	(-(18a^2b^2)/(5cd))÷(-(9ab^3)/(5c^2d^4))	$- \frac{18 a^{2} b^{2}}{5 c d} \div (- \frac{9 a b^{3}}{5 c^{2} d^{4}})$
6000	Evaluate the Limit	limit as x approaches 1 of (x^2-x-2)/(x^2-2x)	$lim_{x \to 1} \frac{x^{2} - x - 2}{x^{2} - 2 x}$