Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
50801	Simplify	(x^3-125)/(x^2-25)	$\frac{x^{3} - 125}{x^{2} - 25}$
50802	Simplify	(x^2-2x-15)/(x^2-6x+5)	$\frac{x^{2} - 2 x - 15}{x^{2} - 6 x + 5}$
50803	Reduce	((4x)/(2x-1))÷((3x+2)/(x+5))	$\frac{4 x}{2 x - 1} \div \frac{3 x + 2}{x + 5}$
50804	Simplify	(x^2-16)/(4+x)	$\frac{x^{2} - 16}{4 + x}$
50805	Reduce	(21^x)/(7^x)	$\frac{21^{x}}{7^{x}}$
50806	Simplify	(x^2-16)/(x-4)	$\frac{x^{2} - 16}{x - 4}$
50807	Simplify	(x^2-15x+36)/(5x-60)	$\frac{x^{2} - 15 x + 36}{5 x - 60}$
50808	Reduce	(12a^2-3)/2(2a+1)^-2(6/(2a+1))^-1	$\frac{12 a^{2} - 3}{2} \cdot {(2 a + 1)}^{- 2} \cdot {(\frac{6}{(2 a + 1)})}^{- 1}$
50809	Simplify	(x^-3+y^-5)/(x^-2+y^-4)	$\frac{x^{- 3} + y^{- 5}}{x^{- 2} + y^{- 4}}$
50810	Reduce	(-10m^9-4m^8-12m^6)÷2m^4	$(- 10 m^{9} - 4 m^{8} - 12 m^{6}) \div 2 m^{4}$
50811	Simplify	(x^2+3x-10)/(x^2+2x-15)	$\frac{x^{2} + 3 x - 10}{x^{2} + 2 x - 15}$
50812	Find the Distance	(5,4,3) , (2,7,4)	$(5, 4, 3)$ , $(2, 7, 4)$
50813	Simplify	(x^2+8x-20)/(x^2+11x+10)	$\frac{x^{2} + 8 x - 20}{x^{2} + 11 x + 10}$
50814	Simplify	( cube root of x)/( sixth root of x)	$\frac{\sqrt[3]{x}}{\sqrt[6]{x}}$
50815	Simplify	( fourth root of x-5)^8	${(\sqrt[4]{x - 5})}^{8}$
50816	Use the Rational Roots Test to Find All Possible Roots	x^4+10x^3-13x^2-20x+22	$x^{4} + 10 x^{3} - 13 x^{2} - 20 x + 22$
50817	Multiply	-2a^2(3a^2-2a+3)	$- 2 a^{2} (3 a^{2} - 2 a + 3)$
50818	Use the Rational Roots Test to Find All Possible Roots	x^4+25x^3-14x^2-19x+30	$x^{4} + 25 x^{3} - 14 x^{2} - 19 x + 30$
50819	Multiply	15*5	$15 \cdot 5$
50820	Multiply	12*5	$12 \cdot 5$
50821	Multiply	cube root of 7* cube root of 49	$\sqrt[3]{7} \cdot \sqrt[3]{49}$
50822	Multiply	square root of 6* square root of 7	$\sqrt{6} \cdot \sqrt{7}$
50823	Multiply	square root of 21* square root of 15	$\sqrt{21} \cdot \sqrt{15}$
50824	Multiply	(d^2)/(ef)*(5e^5f)/(4d)	$\frac{d^{2}}{e f} \cdot \frac{5 e^{5} f}{4 d}$
50825	Simplify	(3+ square root of 5)(3- square root of 5)	$(3 + \sqrt{5}) (3 - \sqrt{5})$
50826	Simplify	(-5 square root of 6)(2 square root of 3)	$(- 5 \sqrt{6}) (2 \sqrt{3})$
50827	Use the Rational Roots Test to Find All Possible Roots	x^3+9x^2-83x-91	$x^{3} + 9 x^{2} - 83 x - 91$
50828	Simplify	square root of 6xz^10	$\sqrt{6 x z^{10}}$
50829	Simplify	(3 square root of 5)^2	${(3 \sqrt{5})}^{2}$
50830	Use the Rational Roots Test to Find All Possible Roots	6x^4+3x^3-4x^2+2	$6 x^{4} + 3 x^{3} - 4 x^{2} + 2$
50831	Simplify	(2+ square root of 3)^2	${(2 + \sqrt{3})}^{2}$
50832	Simplify	( cube root of m)^7	${(\sqrt[3]{m})}^{7}$
50833	Use the Rational Roots Test to Find All Possible Roots	x^3+4x^2-116x-119	$x^{3} + 4 x^{2} - 116 x - 119$
50834	Multiply	( square root of -36)( square root of -4)	$(\sqrt{- 36}) (\sqrt{- 4})$
50835	Multiply	( square root of 7+6)( square root of 7-6)	$(\sqrt{7} + 6) (\sqrt{7} - 6)$
50836	Multiply	(3x+2)(4x-7)	$(3 x + 2) (4 x - 7)$
50837	Use the Rational Roots Test to Find All Possible Roots	x^3+6x^2-18x+20	$x^{3} + 6 x^{2} - 18 x + 20$
50838	Multiply	(3- square root of 5)(3+ square root of 5)	$(3 - \sqrt{5}) (3 + \sqrt{5})$
50839	Multiply	(x^2+x+8)(x-8)	$(x^{2} + x + 8) (x - 8)$
50840	Multiply	(8x-y)^2	${(8 x - y)}^{2}$
50841	Use the Rational Roots Test to Find All Possible Roots	x^3+5x^2-183x-187	$x^{3} + 5 x^{2} - 183 x - 187$
50842	Multiply	(x-12)^2	${(x - 12)}^{2}$
50843	Multiply	(2x-y)^2	${(2 x - y)}^{2}$
50844	Use the Rational Roots Test to Find All Possible Roots	3x^4+2x^3-6x^2-7x+10	$3 x^{4} + 2 x^{3} - 6 x^{2} - 7 x + 10$
50845	Multiply	(x-3)(x+5)	$(x - 3) (x + 5)$
50846	Multiply	(x+8)(x-6)	$(x + 8) (x - 6)$
50847	Use the Rational Roots Test to Find All Possible Roots	5x^3+13x^2-56x+20	$5 x^{3} + 13 x^{2} - 56 x + 20$
50848	Multiply	(a+6)(a^2-8a+8)	$(a + 6) (a^{2} - 8 a + 8)$
50849	Use the Rational Roots Test to Find All Possible Roots	54x^3-135x^2+93x-18	$54 x^{3} - 135 x^{2} + 93 x - 18$
50850	Multiply	(4- square root of 3)(2+ square root of 3)	$(4 - \sqrt{3}) (2 + \sqrt{3})$
50851	Multiply	(6- square root of 11)(6+ square root of 11)	$(6 - \sqrt{11}) (6 + \sqrt{11})$
50852	Use the Rational Roots Test to Find All Possible Roots	10x^7+40x^3+2x-5	$10 x^{7} + 40 x^{3} + 2 x - 5$
50853	Solve for y	y=5x	$y = 5 x$
50854	Use the Rational Roots Test to Find All Possible Roots	2x^4-21x^3+49x^2+9x-63	$2 x^{4} - 21 x^{3} + 49 x^{2} + 9 x - 63$
50855	Simplify	( cube root of 4)/( square root of 2)	$\frac{\sqrt[3]{4}}{\sqrt{2}}$
50856	Use the Rational Roots Test to Find All Possible Roots	24x^3-64x^2+50x-12	$24 x^{3} - 64 x^{2} + 50 x - 12$
50857	Simplify	10x-3x+(-5x)	$10 x - 3 x + (- 5 x)$
50858	Use the Rational Roots Test to Find All Possible Roots	25t^3-5t^2+8t+2	$25 t^{3} - 5 t^{2} + 8 t + 2$
50859	Use the Rational Roots Test to Find All Possible Roots	25x^4-7x^3+2x+10	$25 x^{4} - 7 x^{3} + 2 x + 10$
50860	Use the Rational Roots Test to Find All Possible Roots	(1+3i)/5	$\frac{1 + 3 i}{5}$
50861	Divide	(x+(4x)/y)/(7/(3x))	$\frac{x + \frac{4 x}{y}}{\frac{7}{3 x}}$
50862	Find the Constant of Variation	y=2.5 , x=9	$y = 2.5$ , $x = 9$
50863	Divide	(x+1)/(x-1)	$\frac{x + 1}{x - 1}$
50864	Find the Constant of Variation	y=32 x=8	$y = 32$ $x = 8$
50865	Find the Constant of Variation	y=34 x=2	$y = 34$ $x = 2$
50866	Find the Constant of Variation	y=5 x=-0.1	$y = 5$ $x = - 0.1$
50867	Divide	(x-7)/(x+9)	$\frac{x - 7}{x + 9}$
50868	Find the Constant of Variation	y=50 x=4	$y = 50$ $x = 4$
50869	Simplify/Condense	log base 3 of 9+ log base 3 of 1/9	$\log_{3} (9) + \log_{3} (\frac{1}{9})$
50870	Find the Constant of Variation	y=2 x=3	$y = 2$ $x = 3$
50871	Divide	((10xy^2)/(3z))/((5xy)/(6z^3))	$\frac{\frac{10 x y^{2}}{3 z}}{\frac{5 x y}{6 z^{3}}}$
50872	Evaluate	- log of 1/100	$- \log (\frac{1}{100})$
50873	Determine if Prime	15x^2+10x-9x+7	$15 x^{2} + 10 x - 9 x + 7$
50874	Divide	6/(5i)	$\frac{6}{5 i}$
50875	Determine if Prime	20x^2-12x+30x-18	$20 x^{2} - 12 x + 30 x - 18$
50876	Divide	(6x^2y+12x^2y^2-xy^2)/(6xy)	$\frac{6 x^{2} y + 12 x^{2} y^{2} - x y^{2}}{6 x y}$
50877	Find the Interquartile Range (H-Spread)	32 , 39 , 44 , 61 , 69	$32$ , $39$ , $44$ , $61$ , $69$
50878	Find the Interquartile Range (H-Spread)	151 140 58 105 123 125 118 117 120 121	$151$ $140$ $58$ $105$ $123$ $125$ $118$ $117$ $120$ $121$
50879	Find the Interquartile Range (H-Spread)	48.1 , 46.8 , 52 , 47.9 , 48 , 46 , 50 , 47 , 53	$48.1$ , $46.8$ , $52$ , $47.9$ , $48$ , $46$ , $50$ , $47$ , $53$
50880	Find the Interquartile Range (H-Spread)	88 79 86 93 76 80 82 72 95 79	$88$ $79$ $86$ $93$ $76$ $80$ $82$ $72$ $95$ $79$
50881	Find the Interquartile Range (H-Spread)	7.7 , 8.4 , 9 , 8 , 6.9	$7.7$ , $8.4$ , $9$ , $8$ , $6.9$
50882	Find the Remainder	(5x^2-6x+10x-2)/(15x^3+2x)	$\frac{5 x^{2} - 6 x + 10 x - 2}{15 x^{3} + 2 x}$
50883	Evaluate	(3+ square root of 2)/(6-3 square root of 2)	$\frac{3 + \sqrt{2}}{6 - 3 \sqrt{2}}$
50884	Find the Remainder	(4x^4-2x^2)/(x^3-x^2+2)	$\frac{4 x^{4} - 2 x^{2}}{x^{3} - x^{2} + 2}$
50885	Find the Remainder	(4x^6-64x^4+x^2-14)÷(x+4)	$(4 x^{6} - 64 x^{4} + x^{2} - 14) \div (x + 4)$
50886	Evaluate	2/(9- square root of 10)	$\frac{2}{9 - \sqrt{10}}$
50887	Find the Remainder	(2x^2-5x+6)/(x-3)	$\frac{2 x^{2} - 5 x + 6}{x - 3}$
50888	Find the Remainder	(3x^2+4x+5)/(x+3)	$\frac{3 x^{2} + 4 x + 5}{x + 3}$
50889	Find the Remainder	(3x^3-2x^2+4x-3)/(x^2+3x+3)	$\frac{3 x^{3} - 2 x^{2} + 4 x - 3}{x^{2} + 3 x + 3}$
50890	Find the Remainder	(x^2+13x+42)÷(x+7)	$(x^{2} + 13 x + 42) \div (x + 7)$
50891	Reduce	((xy)^-3)/((x^-5y)^3)	$\frac{{(x y)}^{- 3}}{{(x^{- 5} y)}^{3}}$
50892	Find the Remainder	(x^2+17x+63)÷(x+8)	$(x^{2} + 17 x + 63) \div (x + 8)$
50893	Find the Remainder	(x^2+8x+12)÷(x+6)	$(x^{2} + 8 x + 12) \div (x + 6)$
50894	Divide	(x^3-13x-12)/(x-4)	$\frac{x^{3} - 13 x - 12}{x - 4}$
50895	Find the Remainder	(5y^4+6y^2-1)÷(y-1/5)	$(5 y^{4} + 6 y^{2} - 1) \div (y - \frac{1}{5})$
50896	Find the Remainder	(5z^4+6z^2-1)÷(z-1/5)	$(5 z^{4} + 6 z^{2} - 1) \div (z - \frac{1}{5})$
50897	Find the Remainder	(9x^4+10x^2-1)÷(x-1/9)	$(9 x^{4} + 10 x^{2} - 1) \div (x - \frac{1}{9})$
50898	Find the Domain	f(x)=2/(x-3)	$f (x) = \frac{2}{x - 3}$
50899	Find the Remainder	(9x^4+12x^3+5x^2+x+5)/(x+2/3)	$\frac{9 x^{4} + 12 x^{3} + 5 x^{2} + x + 5}{x + \frac{2}{3}}$
50900	Find the Domain	x=y^4	$x = y^{4}$