Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
52701	Evaluate the Function	f(0)=1/2x	$f (0) = \frac{1}{2} x$
52702	Solve Using the Square Root Property	24=3(x^2+7)	$24 = 3 (x^{2} + 7)$
52703	Divide Using Long Polynomial Division	(5x^3+2x^2+x+2)/(x^3+x+1)	$\frac{5 x^{3} + 2 x^{2} + x + 2}{x^{3} + x + 1}$
52704	Simplify	- cube root of 8	$- \sqrt[3]{8}$
52705	Divide Using Long Polynomial Division	(5x^3-6x^2-8x+9)/(x^4+2x^3+x+1)	$\frac{5 x^{3} - 6 x^{2} - 8 x + 9}{x^{4} + 2 x^{3} + x + 1}$
52706	Find the Inverse	f(x)=1/2x-3	$f (x) = \frac{1}{2} x - 3$
52707	Divide Using Long Polynomial Division	(6m^3+47m^2-16m-12)/(3m-2)	$\frac{6 m^{3} + 47 m^{2} - 16 m - 12}{3 m - 2}$
52708	Convert to Interval Notation	x^2-4x-32>0	$x^{2} - 4 x - 32 > 0$
52709	Divide Using Long Polynomial Division	(-6m^7+20m^6)÷2m^4	$(- 6 m^{7} + 20 m^{6}) \div 2 m^{4}$
52710	Divide Using Long Polynomial Division	(6x^2+17x+7)/(3x+4)	$\frac{6 x^{2} + 17 x + 7}{3 x + 4}$
52711	Convert to Interval Notation	x^2-2x-24>0	$x^{2} - 2 x - 24 > 0$
52712	Divide Using Long Polynomial Division	(6x^2+x-9)÷(2x+3)	$(6 x^{2} + x - 9) \div (2 x + 3)$
52713	Convert to Interval Notation	x^2-x-6<0	$x^{2} - x - 6 < 0$
52714	Convert to Interval Notation	x^2-x-6>0	$x^{2} - x - 6 > 0$
52715	Divide Using Long Polynomial Division	(6x^3+x^2-12x+5)/(3x-4)	$\frac{6 x^{3} + x^{2} - 12 x + 5}{3 x - 4}$
52716	Divide Using Long Polynomial Division	(6x^3-11x^2-47x-20)÷(2x+1)	$(6 x^{3} - 11 x^{2} - 47 x - 20) \div (2 x + 1)$
52717	Divide Using Long Polynomial Division	(6x^4-11x^3-7x^2+8x+3)÷(3x+2)	$(6 x^{4} - 11 x^{3} - 7 x^{2} + 8 x + 3) \div (3 x + 2)$
52718	Divide Using Long Polynomial Division	(6x^4-12x^3+13x^2+5x+1)/(3x^2+2)	$\frac{6 x^{4} - 12 x^{3} + 13 x^{2} + 5 x + 1}{3 x^{2} + 2}$
52719	Convert to Interval Notation	x^2-10x+25<0	$x^{2} - 10 x + 25 < 0$
52720	Divide Using Long Polynomial Division	(6y^4+23y^3+ky^2+18y+18)÷(3+y)	$(6 y^{4} + 23 y^{3} + k y^{2} + 18 y + 18) \div (3 + y)$
52721	Convert to Interval Notation	x^2-10x+21>0	$x^{2} - 10 x + 21 > 0$
52722	Convert to Interval Notation	x^2>9	$x^{2} > 9$
52723	Divide Using Long Polynomial Division	(8d^2-5)÷(2d+1)	$(8 d^{2} - 5) \div (2 d + 1)$
52724	Divide Using Long Polynomial Division	(8x^4-10x^3+12x^2+6x+6)/(2x^2+2)	$\frac{8 x^{4} - 10 x^{3} + 12 x^{2} + 6 x + 6}{2 x^{2} + 2}$
52725	Divide Using Long Polynomial Division	(9x^2-4)÷(3x-2)	$(9 x^{2} - 4) \div (3 x - 2)$
52726	Divide Using Long Polynomial Division	(9x^3+9x^2+5x+1)÷(3x+1)	$(9 x^{3} + 9 x^{2} + 5 x + 1) \div (3 x + 1)$
52727	Divide Using Long Polynomial Division	(9x^4-15x^3+21x^2+x+2)/(3x^2+2)	$\frac{9 x^{4} - 15 x^{3} + 21 x^{2} + x + 2}{3 x^{2} + 2}$
52728	Divide Using Long Polynomial Division	(a^2-4a-32)÷(a+2)	$(a^{2} - 4 a - 32) \div (a + 2)$
52729	Simplify	square root of (-12)^2	$\sqrt{{(- 12)}^{2}}$
52730	Divide Using Long Polynomial Division	(b^3+8b^2-20b)÷(b-2)	$(b^{3} + 8 b^{2} - 20 b) \div (b - 2)$
52731	Divide Using Long Polynomial Division	(x^2+11x+30)÷(x+6)	$(x^{2} + 11 x + 30) \div (x + 6)$
52732	Convert to Interval Notation	-2x<10	$- 2 x < 10$
52733	Convert to Interval Notation	-4x<20	$- 4 x < 20$
52734	Divide Using Long Polynomial Division	(x^2-6x-6x^3+x^4)÷(6+x)	$(x^{2} - 6 x - 6 x^{3} + x^{4}) \div (6 + x)$
52735	Write with Rational (Fractional) Exponents	fifth root of 51^4	$\sqrt[5]{51^{4}}$
52736	Write with Rational (Fractional) Exponents	fourth root of 64	$\sqrt[4]{64}$
52737	Divide Using Long Polynomial Division	(x^3+2x^2+9x+19)/(x^2+9)	$\frac{x^{3} + 2 x^{2} + 9 x + 19}{x^{2} + 9}$
52738	Divide Using Long Polynomial Division	(x^3+3x^2+x+8)÷(x-1)	$(x^{3} + 3 x^{2} + x + 8) \div (x - 1)$
52739	Write with Rational (Fractional) Exponents	fourth root of 49	$\sqrt[4]{49}$
52740	Divide Using Long Polynomial Division	(x^3+5x^2+2x-2)÷(x+1)	$(x^{3} + 5 x^{2} + 2 x - 2) \div (x + 1)$
52741	Divide Using Long Polynomial Division	(x^3-216)÷(x+6)	$(x^{3} - 216) \div (x + 6)$
52742	Divide Using Long Polynomial Division	(x^3-2x^2-23x+60)÷(x-4)	$(x^{3} - 2 x^{2} - 23 x + 60) \div (x - 4)$
52743	Divide Using Long Polynomial Division	(x^3-343)/(x+7)	$\frac{x^{3} - 343}{x + 7}$
52744	Simplify	square root of 10* square root of 14	$\sqrt{10} \cdot \sqrt{14}$
52745	Simplify	square root of 12+ square root of 48	$\sqrt{12} + \sqrt{48}$
52746	Simplify	square root of 15* square root of 6	$\sqrt{15} \cdot \sqrt{6}$
52747	Divide Using Long Polynomial Division	(x^3-3x^2-2x-4)÷(x-4)	$(x^{3} - 3 x^{2} - 2 x - 4) \div (x - 4)$
52748	Divide Using Long Polynomial Division	(x^3-3x^2-7x-3)÷(x+1)	$(x^{3} - 3 x^{2} - 7 x - 3) \div (x + 1)$
52749	Simplify	cube root of 7* cube root of 49	$\sqrt[3]{7} \cdot \sqrt[3]{49}$
52750	Convert to Interval Notation	(x+1)(x+5)>0	$(x + 1) (x + 5) > 0$
52751	Divide Using Long Polynomial Division	(x^3-64)÷(x+4)	$(x^{3} - 64) \div (x + 4)$
52752	Divide Using Long Polynomial Division	(x^3-x^2-6x-24)÷(x-4)	$(x^{3} - x^{2} - 6 x - 24) \div (x - 4)$
52753	Divide Using Long Polynomial Division	(x^4+4x^3+6x^2+4x+5)/(x^2+1)	$\frac{x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 5}{x^{2} + 1}$
52754	Divide Using Long Polynomial Division	(x^4+7x^3+17x^2+20x)÷(x^2+4)	$(x^{4} + 7 x^{3} + 17 x^{2} + 20 x) \div (x^{2} + 4)$
52755	Divide Using Long Polynomial Division	(x^4-10x^3+15x-30)÷(x-5)	$(x^{4} - 10 x^{3} + 15 x - 30) \div (x - 5)$
52756	Convert to Interval Notation	\|5-7x\|>9	$\| 5 - 7 x \| > 9$
52757	Divide Using Long Polynomial Division	(x^4-3x^3+x-2)/(x^2-5x+1)	$\frac{x^{4} - 3 x^{3} + x - 2}{x^{2} - 5 x + 1}$
52758	Convert to Radical Form	(y^(1/9))/(y^(1/18))	$\frac{y^{\frac{1}{9}}}{y^{\frac{1}{18}}}$
52759	Convert to Radical Form	15^(1/3)	$15^{\frac{1}{3}}$
52760	Convert to Radical Form	19^(1/3)	$19^{\frac{1}{3}}$
52761	Divide Using Long Polynomial Division	(x-3)÷(5x^3-9x^2-2x-4)	$(x - 3) \div (5 x^{3} - 9 x^{2} - 2 x - 4)$
52762	Convert to Radical Form	216^(2/3)	$216^{\frac{2}{3}}$
52763	Divide Using Long Polynomial Division	(y*3-125)÷(y-5)	$(y \cdot 3 - 125) \div (y - 5)$
52764	Convert to Radical Form	25^(-1/2)	$25^{- \frac{1}{2}}$
52765	Convert to Radical Form	25^(-3/2)	$25^{- \frac{3}{2}}$
52766	Convert to Radical Form	4^(1/3)	$4^{\frac{1}{3}}$
52767	Divide Using Long Polynomial Division	(y^3+3y^2+2)/(y-2)	$\frac{y^{3} + 3 y^{2} + 2}{y - 2}$
52768	Convert to Radical Form	32^(-3/5)	$32^{- \frac{3}{5}}$
52769	Convert to Radical Form	81^(5/4)	$81^{\frac{5}{4}}$
52770	Divide Using Long Polynomial Division	(y^3+3y^2+9)/(y-2)	$\frac{y^{3} + 3 y^{2} + 9}{y - 2}$
52771	Convert to Radical Form	6^(1/3)	$6^{\frac{1}{3}}$
52772	Divide Using Long Polynomial Division	16x^3-144x^2-81x+729 ; x-9	$16 x^{3} - 144 x^{2} - 81 x + 729$ ; $x - 9$
52773	Convert to Radical Form	729^(1/3)	$729^{\frac{1}{3}}$
52774	Convert to Radical Form	8^(1/5)	$8^{\frac{1}{5}}$
52775	Convert to Radical Form	y^(1/3)	$y^{\frac{1}{3}}$
52776	Convert to Radical Form	m^(2/3)	$m^{\frac{2}{3}}$
52777	Divide Using Long Polynomial Division	(32x^11y^8)÷8x^6y^2	$32 x^{11} y^{8} \div 8 x^{6} y^{2}$
52778	Convert to Radical Form	4x^(2/3)	$4 x^{\frac{2}{3}}$
52779	Convert to Radical Form	4m^(1/5)	$4 m^{\frac{1}{5}}$
52780	Solve Using the Quadratic Formula	a^2-9a+14=0	$a^{2} - 9 a + 14 = 0$
52781	Divide Using Long Polynomial Division	5-i , square root of 15	$5 - i$ , $\sqrt{15}$
52782	Complete the Square	x^2-18x	$x^{2} - 18 x$
52783	Divide Using Long Polynomial Division	x-3÷5x^3-9x^2-2x-4	$x - 3 \div 5 x^{3} - 9 x^{2} - 2 x - 4$
52784	Convert to Radical Form	(1/9)^(3/2)	${(\frac{1}{9})}^{\frac{3}{2}}$
52785	Find the LCM	4 , 3 , 18	$4$ , $3$ , $18$
52786	Convert to Radical Form	(36x^8)^(1/2)	${(36 x^{8})}^{\frac{1}{2}}$
52787	Convert to Radical Form	(-243)^(1/5)	${(- 243)}^{\frac{1}{5}}$
52788	Find the LCM	18 , 21	$18$ , $21$
52789	Write with Rational (Fractional) Exponents	square root of x^4	$\sqrt{x^{4}}$
52790	Find the LCM	14 , 18	$14$ , $18$
52791	Write with Rational (Fractional) Exponents	square root of 5/3	$\sqrt{\frac{5}{3}}$
52792	Find the LCM	24 , 32	$24$ , $32$
52793	Find the LCM	11 , 7	$11$ , $7$
52794	Find the LCM	x^2-16 , 2x+8 , x	$x^{2} - 16$ , $2 x + 8$ , $x$
52795	Write with Rational (Fractional) Exponents	square root of 14/3	$\sqrt{\frac{14}{3}}$
52796	Find the LCM	y^2-1 , 2y+2 , y	$y^{2} - 1$ , $2 y + 2$ , $y$
52797	Find the LCM	x^2-x-20x^2+x-30	$x^{2} - x - 20 x^{2} + x - 30$
52798	Write with Rational (Fractional) Exponents	( sixth root of x^5)^7	${(\sqrt[6]{x^{5}})}^{7}$
52799	Find the LCM	66 , 90	$66$ , $90$
52800	Find the LCM	27 , 63	$27$ , $63$