Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
10701	Find the Prime Factorization	156	$156$
10702	Multiply	(a^4)/(2a^2-4a^4)*(8a^3+1)/(2a+4a^2)	$\frac{a^{4}}{2 a^{2} - 4 a^{4}} \cdot \frac{8 a^{3} + 1}{2 a + 4 a^{2}}$
10703	Multiply	(5x^2+2x+8)(7x-6)	$(5 x^{2} + 2 x + 8) (7 x - 6)$
10704	Multiply	((a-4)(a+3))/(a^2-4a)*(2a^2)/((a+3)(a-1))	$\frac{(a - 4) (a + 3)}{a^{2} - 4 a} \cdot \frac{2 a^{2}}{(a + 3) (a - 1)}$
10705	Multiply	(x+7)(3x-2)	$(x + 7) (3 x - 2)$
10706	Evaluate	54321	$5 \cdot 4 \cdot 3 \cdot 2 \cdot 1$
10707	Write with Rational (Fractional) Exponents	sixth root of 3a^5b	$\sqrt[6]{3 a^{5} b}$
10708	Rationalize the Denominator	-4/( square root of 20x)	$- \frac{4}{\sqrt{20 x}}$
10709	Evaluate	-6- square root of -48	$- 6 - \sqrt{- 48}$
10710	Find the Inverse	f(x)=(x+1)/(x-1)	$f (x) = \frac{x + 1}{x - 1}$
10711	Find the Vertex	x^2-12x+7	$x^{2} - 12 x + 7$
10712	Graph	f(x) = square root of x-3	$f (x) = \sqrt{x - 3}$
10713	Write in Standard Form	(d^2+6d+9)+(d^3+6d+9)	$(d^{2} + 6 d + 9) + (d^{3} + 6 d + 9)$
10714	Find the Vertex	y=(x-3)^2	$y = {(x - 3)}^{2}$
10715	Convert to a Simplified Fraction	0.53	$0.53$
10716	Find the Domain and Range	f(x) = square root of 7-x	$f (x) = \sqrt{7 - x}$
10717	Find the Roots (Zeros)	f(x)=-4x^2+10x-8	$f (x) = - 4 x^{2} + 10 x - 8$
10718	Expand Using the Binomial Theorem	(4x-y)^2	${(4 x - y)}^{2}$
10719	Expand Using the Binomial Theorem	(2x+y)^6	${(2 x + y)}^{6}$
10720	Add	(5-3i)+(10+5i)	$(5 - 3 i) + (10 + 5 i)$
10721	Add	5x^2y+(2xy^2+x^2y)	$5 x^{2} y + (2 x y^{2} + x^{2} y)$
10722	Graph Using a Table of Values	y=2x-3	$y = 2 x - 3$
10723	Graph Using a Table of Values	y=x+3	$y = x + 3$
10724	Expand the Logarithmic Expression	log base 2 of cube root of x	$\log_{2} (\sqrt[3]{x})$
10725	Evaluate	( square root of 28)/( square root of 7)	$\frac{\sqrt{28}}{\sqrt{7}}$
10726	Evaluate	square root of 1/3 square root of -27	$\sqrt{\frac{1}{3}} \sqrt{- 27}$
10727	Evaluate	3/(2- square root of 3)	$\frac{3}{2 - \sqrt{3}}$
10728	Evaluate	3/(5- square root of 2)	$\frac{3}{5 - \sqrt{2}}$
10729	Evaluate	( square root of -81)/( square root of 3)	$\frac{\sqrt{- 81}}{\sqrt{3}}$
10730	Evaluate	- fourth root of 6561	$- \sqrt[4]{6561}$
10731	Find the Roots (Zeros)	x^3-2x^2-x-2	$x^{3} - 2 x^{2} - x - 2$
10732	Find the Roots (Zeros)	6x^2-33x-18	$6 x^{2} - 33 x - 18$
10733	Find the x and y Intercepts	y=4x^2+4x-8	$y = 4 x^{2} + 4 x - 8$
10734	Evaluate	- square root of -80	$- \sqrt{- 80}$
10735	Find the Vertex	y=3x^2-7x+2	$y = 3 x^{2} - 7 x + 2$
10736	Evaluate	square root of 841	$\sqrt{841}$
10737	Evaluate	cube root of 7/5	$\sqrt[3]{\frac{7}{5}}$
10738	Find the Domain and Range	y=-0.5x^2+0.7x-5.1	$y = - 0.5 x^{2} + 0.7 x - 5.1$
10739	Determine if Linear	y=(x-1)(4x+2)-4x^2	$y = (x - 1) (4 x + 2) - 4 x^{2}$
10740	Find the Inverse	y=3e^(-4x+1)	$y = 3 e^{- 4 x + 1}$
10741	Use the Rational Roots Test to Find All Possible Roots	f(x)=2x^2-3x+7	$f (x) = 2 x^{2} - 3 x + 7$
10742	Evaluate	square root of 1681	$\sqrt{1681}$
10743	Use the Rational Roots Test to Find All Possible Roots	f(x)=6x^3-7x^2+2x+8	$f (x) = 6 x^{3} - 7 x^{2} + 2 x + 8$
10744	Solve for x	y=b^x	$y = b^{x}$
10745	Reduce	(m/5-1/6)/(1/3)	$\frac{\frac{m}{5} - \frac{1}{6}}{\frac{1}{3}}$
10746	Factor	c^2+4c-4	$c^{2} + 4 c - 4$
10747	Graph	x+2y=-6	$x + 2 y = - 6$
10748	Write as a Single Logarithm	log of 5+ log of 3	$\log (5) + \log (3)$
10749	Graph	x+2y>4	$x + 2 y > 4$
10750	Solve Using the Square Root Property	2x^2+6=14	$2 x^{2} + 6 = 14$
10751	Graph	x+4y=4	$x + 4 y = 4$
10752	Graph	x+8=0	$x + 8 = 0$
10753	Graph	y+2x>0	$y + 2 x > 0$
10754	Subtract	13-8	$13 - 8$
10755	Subtract	11-8	$11 - 8$
10756	Graph	y<3x+1	$y < 3 x + 1$
10757	Subtract	30-12	$30 - 12$
10758	Subtract	(9z^3-12)-(-3z^3)	$(9 z^{3} - 12) - (- 3 z^{3})$
10759	Graph	y<x-3	$y < x - 3$
10760	Complete the Square	x^2-9x+14	$x^{2} - 9 x + 14$
10761	Graph	f(x)=x-4	$f (x) = x - 4$
10762	Convert to Logarithmic Form	5^1=5	$5^{1} = 5$
10763	Write in Exponential Form	log base 3 of 27=3	$\log_{3} (27) = 3$
10764	Write in Standard Form	x=(y-3)^2+41	$x = {(y - 3)}^{2} + 41$
10765	Graph	g(x)=-x^2	$g (x) = - x^{2}$
10766	Expand the Trigonometric Expression	(3-8w^2)^2	${(3 - 8 w^{2})}^{2}$
10767	Expand the Trigonometric Expression	(10+2t)^2	${(10 + 2 t)}^{2}$
10768	Expand the Trigonometric Expression	(9c-2d)(9c-2d)	$(9 c - 2 d) (9 c - 2 d)$
10769	Find the Midpoint	(17,1) , (-9,3)	$(17, 1) (- 9, 3)$
10770	Multiply	3x square root of 5	$3 x \sqrt{5}$
10771	Evaluate	pi	$π$
10772	Multiply	729*3	$729 \cdot 3$
10773	Graph	y=2e^x	$y = 2 e^{x}$
10774	Multiply	(4x^2+7x)(5x^2-3x)	$(4 x^{2} + 7 x) (5 x^{2} - 3 x)$
10775	Simplify	(4x-3)(x+5)	$(4 x - 3) (x + 5)$
10776	Multiply	(9c^6)(3c^6)	$(9 c^{6}) (3 c^{6})$
10777	Graph	y=2x^2-1	$y = 2 x^{2} - 1$
10778	Graph	y-1=0	$y - 1 = 0$
10779	Convert to a Decimal	6 1/4	$6 \frac{1}{4}$
10780	Graph	y>3	$y > 3$
10781	Convert to a Decimal	1 3/4	$1 \frac{3}{4}$
10782	Graph	y>-2	$y > - 2$
10783	Find the Roots (Zeros)	x^3-10x=-3x^2+24	$x^{3} - 10 x = - 3 x^{2} + 24$
10784	Graph	y=5x-1	$y = 5 x - 1$
10785	Solve Using the Quadratic Formula	4x^2+5x=2	$4 x^{2} + 5 x = 2$
10786	Graph	y=8^x	$y = 8^{x}$
10787	Solve Using the Quadratic Formula	-6x=3x^2+1	$- 6 x = 3 x^{2} + 1$
10788	Graph	y=5^(1-x)	$y = 5^{1 - x}$
10789	Solve Using the Quadratic Formula	x-10 square root of x+9=0	$x - 10 \sqrt{x} + 9 = 0$
10790	Find the Slope and y-intercept	y=7/5x-3	$y = \frac{7}{5} x - 3$
10791	Graph	y=1/4x-3	$y = \frac{1}{4} x - 3$
10792	Find the Slope and y-intercept	9x+3y=3	$9 x + 3 y = 3$
10793	Graph	y = log base 4 of -x	$y = \log_{4} (- x)$
10794	Graph	y=e^(-x)	$y = e^{- x}$
10795	Graph	y=-x^2+4x-7	$y = - x^{2} + 4 x - 7$
10796	Find the Vertex	y=\|x-3\|+2	$y = \| x - 3 \| + 2$
10797	Graph	y=-x^2+2x-4	$y = - x^{2} + 2 x - 4$
10798	Find the Inverse	f(x)=-8x+4	$f (x) = - 8 x + 4$
10799	Find the Inverse	f(x)=(x^4)/7+27	$f (x) = \frac{x^{4}}{7} + 27$
10800	Expand Using the Binomial Theorem	(r-3t)^4	${(r - 3 t)}^{4}$