Mathway | Recent Popular Problems

Recent Popular Problems

Rank	Topic	Problem	Formatted Problem
8701	Find the Exact Value	2^3-3÷3+4	$2^{3} - 3 \div 3 + 4$
8702	Evaluate	((2^0*5^2)/3)^0	${(\frac{2^{0} \cdot 5^{2}}{3})}^{0}$
8703	Evaluate the Function	(1/(5,0))^(-2z)*5 , 0^(-2z+2)=5 , 0	${(\frac{1}{5, 0})}^{- 2 z} \cdot 5$ , $0^{- 2 z + 2} = 5$ , $0$
8704	Determine if True	sec(theta)=1/(cos(theta))	$\sec (θ) = \frac{1}{\cos (θ)}$
8705	Write Using Positive Exponents	x^5y^-3	$x^{5} y^{- 3}$
8706	Find the Concavity	f(x)=-1/5x^5-3x^4-12x^3	$f (x) = - \frac{1}{5} x^{5} - 3 x^{4} - 12 x^{3}$
8707	Evaluate the Limit	limit as x approaches infinity of ( natural log of x)^(1/x)	$lim_{x \to \infty} {(\ln (x))}^{\frac{1}{x}}$
8708	Find the Roots (Zeros)	y=x(x-8)^2	$y = x {(x - 8)}^{2}$
8709	Find Where Increasing/Decreasing	j(x)=(2/3x^3-2)^2	$j (x) = {(\frac{2}{3} x^{3} - 2)}^{2}$
8710	Simplify	square root of 3x* square root of x	$\sqrt{3 x} \cdot \sqrt{x}$
8711	Evaluate the Function	5^(2x)=15 , 625	$5^{2 x} = 15$ , $625$
8712	Solve for x	2/3(-3.1-x)=5	$\frac{2}{3} (- 3.1 - x) = 5$
8713	Evaluate the Function	f(-2)=-3(-2)^3-2	$f (- 2) = - 3 {(- 2)}^{3} - 2$
8714	Solve for n	log base n of 36=2	$\log_{n} (36) = 2$
8715	Simplify	(3 square root of 2- square root of 3)(3 square root of 2+ square root of 3)	$(3 \sqrt{2} - \sqrt{3}) (3 \sqrt{2} + \sqrt{3})$
8716	Evaluate the Limit	limit as x approaches infinity of 7+1/(3x)-2/(x^2)	$lim_{x \to \infty} 7 + \frac{1}{3 x} - \frac{2}{x^{2}}$
8717	Solve the Inequality for x	1/4x+1<5	$\frac{1}{4} x + 1 < 5$
8718	Solve the System of Inequalities	2x+7y>5 and 3x-y<=2	$2 x + 7 y > 5$ and $3 x - y \leq 2$
8719	Simplify	(4a^3-8a^2+a^2)(4a)^-1	$(4 a^{3} - 8 a^{2} + a^{2}) {(4 a)}^{- 1}$
8720	Solve for x	square root of 2x-14+4>12	$\sqrt{2 x - 14} + 4 > 12$
8721	Graph	y=1/2 cube root of x+1+4	$y = \frac{1}{2} \sqrt[3]{x + 1} + 4$
8722	Solve for c	a=(a+b+c)/3	$a = \frac{a + b + c}{3}$
8723	Determine if a Polynomial	9y^5+y-3y^3	$9 y^{5} + y - 3 y^{3}$
8724	Solve the Function Operation	cos(theta)=-5/13 , theta in Quadrant III	$\cos (θ) = - \frac{5}{13}$ , $θ$ in Quadrant $I \cdot I \cdot I$
8725	Divide	(-25x^4y^3+30x^2y^5)/(-5x^2y)	$\frac{- 25 x^{4} y^{3} + 30 x^{2} y^{5}}{- 5 x^{2} y}$
8726	Evaluate Using Summation Formulas	sum from i=1 to n of 6i-5	$\sum_{i = 1}^{n} 6 i - 5$
8727	Solve for x	cube root of x^2-3 cube root of x+2=0	$\sqrt[3]{x^{2}} - 3 \sqrt[3]{x} + 2 = 0$
8728	Solve for d	10500=pi/6d^3	$10500 = \frac{π}{6} d^{3}$
8729	Simplify	7/(-10- square root of 17)	$\frac{7}{- 10 - \sqrt{17}}$
8730	Find the Integral	tan(x)^4	$\tan^{4} (x)$
8731	Write the Fraction in Simplest Form	(4(s^4)^4)/(20s^8)	$\frac{4 {(s^{4})}^{4}}{20 s^{8}}$
8732	Factor	90x^3y+480x^2y^2+640xy^3	$90 x^{3} y + 480 x^{2} y^{2} + 640 x y^{3}$
8733	Simplify	3w-8k+12w+w-5k	$3 w - 8 k + 12 w + w - 5 k$
8734	Simplify	(-3i^4)^3	${(- 3 i^{4})}^{3}$
8735	Write in Standard Form	(5d+5)-(d+1)	$(5 d + 5) - (d + 1)$
8736	Find the Antiderivative	x*e^(x^2+1)	$x \cdot e^{x^{2} + 1}$
8737	Simplify the Radical Expression	5/(4- square root of 3)	$\frac{5}{4 - \sqrt{3}}$
8738	Simplify	(a^6b^7c^7)/(a^-2b^3c^0)	$\frac{a^{6} b^{7} c^{7}}{a^{- 2} b^{3} c^{0}}$
8739	Multiply	(2a^3)(7b+a^2b-2a)	$(2 a^{3}) (7 b + a^{2} b - 2 a)$
8740	Solve the Rational Equation for x	square root of 3x+14=2	$\sqrt{3 x} + 14 = 2$
8741	Find the Exact Value	sin(arctan(( square root of 3)/3))	$\sin (\arctan (\frac{\sqrt{3}}{3}))$
8742	Simplify	cube root of square root of 125x^3y^3	$\sqrt[3]{\sqrt{125 x^{3} y^{3}}}$
8743	Simplify the Radical Expression	fourth root of 81x^6y^18	$\sqrt[4]{81 x^{6} y^{18}}$
8744	Simplify	(27*64)^(2/3)	${(27 \cdot 64)}^{\frac{2}{3}}$
8745	Simplify	(m^2+m-6)÷(m+4)	$(m^{2} + m - 6) \div (m + 4)$
8746	Solve the System of Equations	y=x+1 3x+y=-7	$y = x + 1$ $3 x + y = - 7$
8747	Simplify	(4/(4^-3))^-2	${(\frac{4}{4^{- 3}})}^{- 2}$
8748	Solve for n	7/9=n+2/3	$\frac{7}{9} = n + \frac{2}{3}$
8749	Find the Degree, Leading Term, and Leading Coefficient	f(x)=-10-6x-x^4	$f (x) = - 10 - 6 x - x^{4}$
8750	Simplify	( cube root of 40x)÷( cube root of 5x^2)	$\sqrt[3]{40 x} \div \sqrt[3]{5 x^{2}}$
8751	Multiply	square root of 8x* square root of 4x* square root of 3x	$\sqrt{8 x} \cdot \sqrt{4 x} \cdot \sqrt{3 x}$
8752	Solve for x	log base 2 of 3x^2+4- log base 2 of 2x+6=3	$\log_{2} (3 x^{2} + 4) - \log_{2} (2 x + 6) = 3$
8753	Find the Domain and Range	y=3sin(x-4pi)	$y = 3 \sin (x - 4 π)$
8754	Find the Product	( fourth root of 6)( cube root of 6)	$(\sqrt[4]{6}) (\sqrt[3]{6})$
8755	Solve the Inequality for x	-5<=7-2/3x<-1	$- 5 \leq 7 - \frac{2}{3} x < - 1$
8756	Simplify	square root of 7^3* square root of 7^5	$\sqrt{7^{3}} \cdot \sqrt{7^{5}}$
8757	Solve the System of Equations	a+4b=-4 a+10b=-16	$a + 4 b = - 4$ $a + 10 b = - 16$
8758	Simplify the Radical Expression	square root of xy^5z^20	$\sqrt{x y^{5} z^{20}}$
8759	Solve for k	\|2x+7\|-k<=5	$\| 2 x + 7 \| - k \leq 5$
8760	Simplify the Radical Expression	3 square root of 20-2 square root of 24+ square root of 180- square root of 54	$3 \sqrt{20} - 2 \sqrt{24} + \sqrt{180} - \sqrt{54}$
8761	Solve for b	cube root of b-4=0	$\sqrt[3]{b} - 4 = 0$
8762	Add	(4x^3+2x+2x^2-8)+(2x^3+x^2+9)	$(4 x^{3} + 2 x + 2 x^{2} - 8) + (2 x^{3} + x^{2} + 9)$
8763	Divide	(-26/5)÷(-5)	$- \frac{26}{5} \div (- 5)$
8764	Simplify	square root of (a^2+4a)^12	$\sqrt{{(a^{2} + 4 a)}^{12}}$
8765	Rationalize the Denominator	fifth root of (5n)/(16m^5)	$\sqrt[5]{\frac{5 n}{16 m^{5}}}$
8766	Simplify	square root of 2( square root of 5-6 square root of 12)+ square root of 40	$\sqrt{2} (\sqrt{5} - 6 \sqrt{12}) + \sqrt{40}$
8767	Find dy/dx	2y-4x^3=-2y^3	$2 y - 4 x^{3} = - 2 y^{3}$
8768	Simplify	(12^(3/5)*8^(3/5))^5	${(12^{\frac{3}{5}} \cdot 8^{\frac{3}{5}})}^{5}$
8769	Evaluate the Integral	integral of x^7cos(x^4) with respect to x	$\int x^{7} \cos (x^{4}) d x$
8770	Simplify	x cube root of 189x^9y^11	$x \sqrt[3]{189 x^{9} y^{11}}$
8771	Evaluate	5(25)^(-1/2)	$5 {(25)}^{- \frac{1}{2}}$
8772	Graph	0<-2x+2<=6	$0 < - 2 x + 2 \leq 6$
8773	Simplify the Radical Expression	(-45 square root of 156)/(9 square root of 3)	$\frac{- 45 \sqrt{156}}{9 \sqrt{3}}$
8774	Factor	x^2-12=x	$x^{2} - 12 = x$
8775	Simplify	(3/(2p^2))^(2/3)	${(\frac{3}{2 p^{2}})}^{\frac{2}{3}}$
8776	Determine if a Polynomial	-10y^3 square root of 2-y^4	$- 10 y^{3} \sqrt{2} - y^{4}$
8777	Write the Fraction in Simplest Form	(15q)/((3q^3)^2)	$\frac{15 q}{{(3 q^{3})}^{2}}$
8778	Solve the System of Equations	h+2k=3 3h+6k=9	$h + 2 k = 3$ $3 h + 6 k = 9$
8779	Simplify	-3x^-7y*x^5y^-3	$- 3 x^{- 7} y \cdot x^{5} y^{- 3}$
8780	Find the Domain and Range	y=2(3)^(x+2)-5	$y = 2 {(3)}^{x + 2} - 5$
8781	Add	1/6+3 2/4	$\frac{1}{6} + 3 \frac{2}{4}$
8782	Simplify	(5a)/(24cf^4)+a/(36bc^4f^3)	$\frac{5 a}{24 c f^{4}} + \frac{a}{36 b c^{4} f^{3}}$
8783	Solve for a	(2a+b)/c=d	$\frac{2 a + b}{c} = d$
8784	Simplify	(a^3b^4)^-2(a^-3b^-5)^-4	${(a^{3} b^{4})}^{- 2} {(a^{- 3} b^{- 5})}^{- 4}$
8785	Solve the System of Equations	x^2-4y=12 y=-1/2x-4	$x^{2} - 4 y = 12$ $y = - \frac{1}{2} x - 4$
8786	Write as a Single Logarithm	1/2 log base 8 of x+ log base 8 of y	$\frac{1}{2} \log_{8} (x) + \log_{8} (y)$
8787	Simplify	2/5y+1/5x-0.2y-6+(-2)	$\frac{2}{5} y + \frac{1}{5} x - 0.2 y - 6 + (- 2)$
8788	Solve the Inequality for x	x-1/4<=-1/2	$x - \frac{1}{4} \leq - \frac{1}{2}$
8789	Solve the Inequality for m	\|(m-15)/5\|<16	$\| \frac{m - 15}{5} \| < 16$
8790	Find the Antiderivative	f(x)=2/x+3/(x^2)	$f (x) = \frac{2}{x} + \frac{3}{x^{2}}$
8791	Simplify	cube root of (56x^5)/(7x^2)	$\sqrt[3]{\frac{56 x^{5}}{7 x^{2}}}$
8792	Evaluate	(1-5.1x)-(1.7x+5.4)=1	$(1 - 5.1 x) - (1.7 x + 5.4) = 1$
8793	Simplify	(-5x^2y^-1)^4	${(- 5 x^{2} y^{- 1})}^{4}$
8794	Find the Degree, Leading Term, and Leading Coefficient	f(t)=2(t-1)(t+2)(t-3)	$f (t) = 2 (t - 1) (t + 2) (t - 3)$
8795	Solve the Rational Equation for x	square root of 32-7x=x-6	$\sqrt{32 - 7 x} = x - 6$
8796	Write in Standard Form	(a+b)(a^3-3ab-b^2)	$(a + b) (a^{3} - 3 a b - b^{2})$
8797	Solve for x	square root of 5x = square root of 9x-24	$\sqrt{5 x} = \sqrt{9 x - 24}$
8798	Simplify	8xy^3 cube root of 24x^11y^8	$8 x y^{3} \sqrt[3]{24 x^{11} y^{8}}$
8799	Solve for x	1/(x^2+2x)+(x-1)/x=1	$\frac{1}{x^{2} + 2 x} + \frac{x - 1}{x} = 1$
8800	Evaluate	(10-(2-8)^2)÷(3^2+2^2)	$(10 - {(2 - 8)}^{2}) \div (3^{2} + 2^{2})$