Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
12701	Write in Standard Form	(-2x^4+7x^2y-7)+(-9x^3+7xy+7)	$(- 2 x^{4} + 7 x^{2} y - 7) + (- 9 x^{3} + 7 x y + 7)$
12702	Simplify	5x^3	$5 x^{3}$
12703	Convert to a Simplified Fraction	145%	$145 %$
12704	Simplify	5(x^(2/3))^-1	$5 {(x^{\frac{2}{3}})}^{- 1}$
12705	Convert to Regular Notation	3.5*10^5	$3.5 \cdot 10^{5}$
12706	Simplify	3+4+6i	$3 + 4 + 6 i$
12707	Convert to Regular Notation	4.2*10^5	$4.2 \cdot 10^{5}$
12708	Simplify	3+7i-3i-4	$3 + 7 i - 3 i - 4$
12709	Convert to Regular Notation	5.455*10^5	$5.455 \cdot 10^{5}$
12710	Combine	square root of 9m^2n^2+2 square root of m^2n^2-3mn	$\sqrt{9 m^{2} n^{2}} + 2 \sqrt{m^{2} n^{2}} - 3 m n$
12711	Solve for x	\|x\|=10	$\| x \| = 10$
12712	Combine	y-(-3y)	$y - (- 3 y)$
12713	Multiply	16*4	$16 \cdot 4$
12714	Combine	-12-6p-(-2)	$- 12 - 6 p - (- 2)$
12715	Solve for y	-2(y-2)<2(y-4)	$- 2 (y - 2) < 2 (y - 4)$
12716	Combine	-3k-(-8)+2	$- 3 k - (- 8) + 2$
12717	Simplify	(4+2/x)/(x/3+1/6)	$\frac{4 + \frac{2}{x}}{\frac{x}{3} + \frac{1}{6}}$
12718	Find the Roots (Zeros)	x-8=- square root of x^2-8	$x - 8 = - \sqrt{x^{2} - 8}$
12719	Simplify	square root of x^28	$\sqrt{x^{28}}$
12720	Find the Roots (Zeros)	cube root of 1000	$\sqrt[3]{1000}$
12721	Simplify	square root of x^2-18x+81	$\sqrt{x^{2} - 18 x + 81}$
12722	Find the Slope and y-intercept	y=3/2x+13	$y = \frac{3}{2} x + 13$
12723	Identify the Conic	10y^2+3y-2x^2-5x=40	$10 y^{2} + 3 y - 2 x^{2} - 5 x = 40$
12724	Simplify	square root of 14/3	$\sqrt{\frac{14}{3}}$
12725	Identify the Conic	6x^2-8x-4y^2+3y-80=0	$6 x^{2} - 8 x - 4 y^{2} + 3 y - 80 = 0$
12726	Solve by Graphing	x=-x(x)	$y = - f (x)$
12727	Find the Inverse	C(t)=4t-160	$C (t) = 4 t - 160$
12728	Simplify	square root of 10/x	$\sqrt{\frac{10}{x}}$
12729	Find the Inverse	f(x)=8x+11	$f (x) = 8 x + 11$
12730	Simplify	square root of (y^6)/25	$\sqrt{\frac{y^{6}}{25}}$
12731	Convert to Interval Notation	x^2<=144	$x^{2} \leq 144$
12732	Simplify	square root of z^8	$\sqrt{z^{8}}$
12733	Simplify	square root of 343	$\sqrt{343}$
12734	Convert to Interval Notation	x-24/x<2	$x - \frac{24}{x} < 2$
12735	Simplify	( square root of x^11y^7)/( square root of xy)	$\frac{\sqrt{x^{11} y^{7}}}{\sqrt{x y}}$
12736	Find the Domain	g(x) = square root of 2x-4	$g (x) = \sqrt{2 x - 4}$
12737	Reduce the Fraction	(4^11)/(4^-8)	$\frac{4^{11}}{4^{- 8}}$
12738	Multiply	(4x-3)^2	${(4 x - 3)}^{2}$
12739	Multiply	(x-3)^3	${(x - 3)}^{3}$
12740	Divide Using Synthetic Division	(x^4-3x^3+3x^2-3x+6)÷(x-2)	$(x^{4} - 3 x^{3} + 3 x^{2} - 3 x + 6) \div (x - 2)$
12741	Multiply	(3x+5)^2	${(3 x + 5)}^{2}$
12742	Find the Vertex	f(x)=-(x+8)(x-14)	$f (x) = - (x + 8) (x - 14)$
12743	Multiply	(3x+2)(3x-2)	$(3 x + 2) (3 x - 2)$
12744	Rationalize the Denominator	x/( square root of 5- square root of 3)	$\frac{x}{\sqrt{5} - \sqrt{3}}$
12745	Rationalize the Denominator	square root of A/(4pi)	$\sqrt{\frac{A}{4 π}}$
12746	Write as a Function of k	1/2j+1/4k=3	$\frac{1}{2} j + \frac{1}{4} k = 3$
12747	Write as a Function of j	1/2j+1/4k=3	$\frac{1}{2} j + \frac{1}{4} k = 3$
12748	Write with Rational (Fractional) Exponents	1/(y^(5/4))	$\frac{1}{y^{\frac{5}{4}}}$
12749	Evaluate	7/( square root of 3)	$\frac{7}{\sqrt{3}}$
12750	Find the Midpoint	(1,0.5) , (0.5,2)	$(1, 0.5) (0.5, 2)$
12751	Find the Focus	x=4y^2	$x = 4 y^{2}$
12752	Divide	(x^3+216)/(x+6)	$\frac{x^{3} + 216}{x + 6}$
12753	Find the Vertex Form	x=y^2+6y+1	$x = y^{2} + 6 y + 1$
12754	Expand Using the Binomial Theorem	(x-y)^12	${(x - y)}^{12}$
12755	Find the Discriminant	2x(x-3)=x-5	$2 x (x - 3) = x - 5$
12756	Find Three Ordered Pair Solutions	x+1/2y=1	$x + \frac{1}{2} y = 1$
12757	Simplify	(x+7)/(x^2-x-56)	$\frac{x + 7}{x^{2} - x - 56}$
12758	Find the LCD	5/(25x^3y^4) , 10/(50x^2y)	$\frac{5}{25 x^{3} y^{4}}$ , $\frac{10}{50 x^{2} y}$
12759	Simplify	(x-4)/(4-x)	$\frac{x - 4}{4 - x}$
12760	Find the LCD	4/(x^2y) , 20/(xy)	$\frac{4}{x^{2} y}$ , $\frac{20}{x y}$
12761	Simplify	fifth root of -32x^15y^10	$\sqrt[5]{- 32 x^{15} y^{10}}$
12762	Find the LCD	(4k)/(k^2-9) , 2/(3+k)	$\frac{4 k}{k^{2} - 9}$ , $\frac{2}{3 + k}$
12763	Simplify	cube root of 750	$\sqrt[3]{750}$
12764	Solve by Completing the Square	x^2-16x=23	$x^{2} - 16 x = 23$
12765	Solve by Completing the Square	x^2+2x=28	$x^{2} + 2 x = 28$
12766	Solve by Completing the Square	x^2+10x=8	$x^{2} + 10 x = 8$
12767	Simplify	cube root of 27x^4y^5	$\sqrt[3]{27 x^{4} y^{5}}$
12768	Simplify	cube root of -27x^6y^12	$\sqrt[3]{- 27 x^{6} y^{12}}$
12769	Convert to a Decimal	58%	$58 %$
12770	Simplify	cube root of 216x^4y^3	$\sqrt[3]{216 x^{4} y^{3}}$
12771	Convert to a Decimal	19/27	$\frac{19}{27}$
12772	Simplify	cube root of -16a^12	$\sqrt[3]{- 16 a^{12}}$
12773	Simplify	square root of 61	$\sqrt{61}$
12774	Simplify	cube root of -64x^3	$\sqrt[3]{- 64 x^{3}}$
12775	Simplify	square root of 7x	$\sqrt{7 x}$
12776	Solve for b	5/(3b^3-2b^2-5)=2/(b^3-2)	$\frac{5}{3 b^{3} - 2 b^{2} - 5} = \frac{2}{b^{3} - 2}$
12777	Find the Next Term	2 , 6 , 12 , 20	$2$ , $6$ , $12$ , $20$
12778	Simplify	10 root of y^10	$\sqrt[10]{y^{10}}$
12779	Find the GCF	9x^2a+9xa^2	$9 x^{2} a + 9 x a^{2}$
12780	Solve by Factoring	x^(2/3)=2	$x^{\frac{2}{3}} = 2$
12781	Find Where Undefined/Discontinuous	(6x^3-10x^2)/(3x^3-2x^2-5x)	$\frac{6 x^{3} - 10 x^{2}}{3 x^{3} - 2 x^{2} - 5 x}$
12782	Solve by Factoring	x^2-121=0	$x^{2} - 121 = 0$
12783	Find Where Undefined/Discontinuous	(x^4+8x^2+7)/(3x^5-3x)	$\frac{x^{4} + 8 x^{2} + 7}{3 x^{5} - 3 x}$
12784	Solve by Factoring	x^2-16x+64=0	$x^{2} - 16 x + 64 = 0$
12785	Find the 5th Term	400 , 200 , 100	$400$ , $200$ , $100$
12786	Solve by Factoring	x^2=64	$x^{2} = 64$
12787	Find the 4th Term	400 , 200 , 100	$400$ , $200$ , $100$
12788	Solve by Factoring	x^2+x-20=0	$x^{2} + x - 20 = 0$
12789	Find the Foci	25y^2-16x^2=400	$25 y^{2} - 16 x^{2} = 400$
12790	Solve by Factoring	x^2+4x-12=0	$x^{2} + 4 x - 12 = 0$
12791	Find the Asymptotes	y=4/(x-6)+7	$y = \frac{4}{x - 6} + 7$
12792	Solve by Factoring	x^3+x^2-9x-9=0	$x^{3} + x^{2} - 9 x - 9 = 0$
12793	Solve by Factoring	y^4-13y^2+36=0	$y^{4} - 13 y^{2} + 36 = 0$
12794	Find the Domain	( square root of 2x^2)÷( square root of 5x)	$\sqrt{2 x^{2}} \div \sqrt{5 x}$
12795	Solve by Factoring	x^3-5x^2+6x=0	$x^{3} - 5 x^{2} + 6 x = 0$
12796	Identify the Sequence	4 , 16 , 64 , 256	$4$ , $16$ , $64$ , $256$
12797	Solve by Factoring	x^3-x=0	$x^{3} - x = 0$
12798	Identify the Sequence	3 , -6 , 12 , -24	$3$ , $- 6$ , $12$ , $- 24$
12799	Solve by Factoring	2x^3-250=0	$2 x^{3} - 250 = 0$
12800	Identify the Sequence	3 , 12 , 48	$3$ , $12$ , $48$