Mathway | Popular Problems

Popular Problems

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Rank	Topic	Problem	Formatted Problem
40901	Use the Rational Roots Test to Find All Possible Roots	21x^4-x^2+49	$21 x^{4} - x^{2} + 49$
40902	Simplify	(1-6i)-(-3-8i)	$(1 - 6 i) - (- 3 - 8 i)$
40903	Find the Properties	y=2x^2	$y = 2 x^{2}$
40904	Evaluate	(27^(4/3))/(27^(2/3))	$\frac{27^{\frac{4}{3}}}{27^{\frac{2}{3}}}$
40905	Use the Rational Roots Test to Find All Possible Roots	2x^4-x^3+17x^2-9x-9	$2 x^{4} - x^{3} + 17 x^{2} - 9 x - 9$
40906	Evaluate	(3/4)/(5/6)	$\frac{\frac{3}{4}}{\frac{5}{6}}$
40907	Use the Rational Roots Test to Find All Possible Roots	1 square root of pin	$1 \sqrt{π n}$
40908	Evaluate	(5^6)/(5^4)	$\frac{5^{6}}{5^{4}}$
40909	Evaluate	-1.5^2	$- {1.5}^{2}$
40910	Evaluate	0/10	$\frac{0}{10}$
40911	Evaluate	-\|-3\|	$- \| - 3 \|$
40912	Use the Rational Roots Test to Find All Possible Roots	2x^5-5x^4+x^3+x^2-x+6	$2 x^{5} - 5 x^{4} + x^{3} + x^{2} - x + 6$
40913	Evaluate	(10!)/(6!)	$\frac{10!}{6!}$
40914	Use the Rational Roots Test to Find All Possible Roots	33x^4-x^2+121	$33 x^{4} - x^{2} + 121$
40915	Use the Rational Roots Test to Find All Possible Roots	33x^4-x^2+9	$33 x^{4} - x^{2} + 9$
40916	Evaluate	1000^(-1/3)	$1000^{- \frac{1}{3}}$
40917	Evaluate	1/32	$\frac{1}{32}$
40918	Evaluate	1/4-1/8	$\frac{1}{4} - \frac{1}{8}$
40919	Evaluate	-1/3*-3	$- \frac{1}{3} \cdot - 3$
40920	Use the Rational Roots Test to Find All Possible Roots	x^3+9x^2-179x-187	$x^{3} + 9 x^{2} - 179 x - 187$
40921	Evaluate	1/27+1/6	$\frac{1}{27} + \frac{1}{6}$
40922	Evaluate	1/125	$\frac{1}{125}$
40923	Evaluate	1/(2^-2*2^-3-4^5)	$\frac{1}{2^{- 2} \cdot 2^{- 3} - 4^{5}}$
40924	Evaluate	(1/16)^(-1/4)	${(\frac{1}{16})}^{- \frac{1}{4}}$
40925	Evaluate	(2/3)^5	${(\frac{2}{3})}^{5}$
40926	Evaluate	(27/8)^(4/3)	${(\frac{27}{8})}^{\frac{4}{3}}$
40927	Evaluate	(1/81)^(-1/4)	${(\frac{1}{81})}^{- \frac{1}{4}}$
40928	Use the Rational Roots Test to Find All Possible Roots	x^4-7x^3+3x^2+63x-108	$x^{4} - 7 x^{3} + 3 x^{2} + 63 x - 108$
40929	Evaluate	(1/9)^3	${(\frac{1}{9})}^{3}$
40930	Evaluate	(1/5)^5	${(\frac{1}{5})}^{5}$
40931	Evaluate	(1/8)^(1/3)	${(\frac{1}{8})}^{\frac{1}{3}}$
40932	Evaluate	(16/49)^(1/2)	${(\frac{16}{49})}^{\frac{1}{2}}$
40933	Evaluate	(125^(2/3))^(1/2)	${(125^{\frac{2}{3}})}^{\frac{1}{2}}$
40934	Evaluate	-(-6)	$- (- 6)$
40935	Evaluate	(-5)^3+4(-5)^2-8*-5-10	${(- 5)}^{3} + 4 {(- 5)}^{2} - 8 \cdot - 5 - 10$
40936	Evaluate	(-3125)^(3/5)	${(- 3125)}^{\frac{3}{5}}$
40937	Cancel the Common Factors	(6x-18)/(x^2-5x+6)	$\frac{6 x - 18}{x^{2} - 5 x + 6}$
40938	Evaluate	(1-4)^-2	${(1 - 4)}^{- 2}$
40939	Evaluate	(-216)^(4/3)	${(- 216)}^{\frac{4}{3}}$
40940	Find the Parabola Through (1,245) with Vertex (0,240)	(1,245) , (0,240)	$(1, 245)$ , $(0, 240)$
40941	Evaluate	(4/3)^4	${(\frac{4}{3})}^{4}$
40942	Find the Parabola Through (0,5) with Vertex (2,13)	(2,13) , (0,5)	$(2, 13)$ , $(0, 5)$
40943	Evaluate	(5/4)^-4	${(\frac{5}{4})}^{- 4}$
40944	Find the Parabola Through (0,-15) with Vertex (-1,-16)	(-1,-16) , (0,-15)	$(- 1, - 16) (0, - 15)$
40945	Simplify	(-6y^5-5)-13y^5	$(- 6 y^{5} - 5) - 13 y^{5}$
40946	Find the Parabola Through (2,13) with Vertex (0,5)	(2,13) , (0,5)	$(2, 13) (0, 5)$
40947	Evaluate	(8/7)^-2	${(\frac{8}{7})}^{- 2}$
40948	Evaluate	(81^(1/4))^4	${(81^{\frac{1}{4}})}^{4}$
40949	Find the Parabola Through (-5,80) with Vertex (0,-45)	(-5,80) , (0,-45)	$(- 5, 80)$ , $(0, - 45)$
40950	Find the Parabola Through (-2,20) with Vertex (0,-12)	(-2,20) , (0,-12)	$(- 2, 20) (0, - 12)$
40951	Evaluate	(-1)^0	${(- 1)}^{0}$
40952	Identify the Sequence	3 , 6 , 12 , 24	$3$ , $6$ , $12$ , $24$
40953	Convert to a Simplified Fraction	4.25	$4.25$
40954	Convert to a Simplified Fraction	3.3	$3.3$
40955	Convert to a Simplified Fraction	-0.6	$- 0.6$
40956	Find the Parabola Through (0,-45) with Vertex (-5,80)	(-5,80) , (0,-45)	$(- 5, 80)$ , $(0, - 45)$
40957	Convert to a Simplified Fraction	0.64	$0.64$
40958	Find the Parabola Through (5,-18) with Vertex (2,-9)	(2,-9) , (5,-18)	$(2, - 9) (5, - 18)$
40959	Evaluate	18/20	$\frac{18}{20}$
40960	Evaluate	18^3	$18^{3}$
40961	Evaluate	2^2.6	$2^{2.6}$
40962	Evaluate	2/-3	$\frac{2}{- 3}$
40963	Evaluate	16^0	$16^{0}$
40964	Combine	4n+6+n-2	$4 n + 6 + n - 2$
40965	Evaluate	162/2	$\frac{162}{2}$
40966	Evaluate	15/40	$\frac{15}{40}$
40967	Combine	7z+15+2	$7 z + 15 + 2$
40968	Combine	-y^2 fifth root of 96y+2 fifth root of 3y^11	$- y^{2} \sqrt[5]{96 y} + 2 \sqrt[5]{3 y^{11}}$
40969	Evaluate	15/36	$\frac{15}{36}$
40970	Evaluate	12/100	$\frac{12}{100}$
40971	Combine	7 square root of 6-5x square root of 6-x square root of 6	$7 \sqrt{6} - 5 x \sqrt{6} - x \sqrt{6}$
40972	Evaluate	12/11	$\frac{12}{11}$
40973	Evaluate	12/14	$\frac{12}{14}$
40974	Combine	y-(-3y+(3y-(11y+19)))	$y - (- 3 y + (3 y - (11 y + 19)))$
40975	Evaluate	12^2+16^2	$12^{2} + 16^{2}$
40976	Evaluate	125^3	$125^{3}$
40977	Combine	12w^3-8w^3	$12 w^{3} - 8 w^{3}$
40978	Evaluate	225/4	$\frac{225}{4}$
40979	Combine	(3a-4)/5+(7a-2)/15-(4a+7)/10	$\frac{3 a - 4}{5} + \frac{7 a - 2}{15} - \frac{4 a + 7}{10}$
40980	Combine	5x^2-5.5-3.5x+1.5x^2+4x	$5 x^{2} - 5.5 - 3.5 x + 1.5 x^{2} + 4 x$
40981	Evaluate	29/2	$\frac{29}{2}$
40982	Combine	4b-a+2b	$4 b - a + 2 b$
40983	Combine	(3a^2-5ab+b^2)-(-3a^2+2b^2+8ab)	$(3 a^{2} - 5 a b + b^{2}) - (- 3 a^{2} + 2 b^{2} + 8 a b)$
40984	Evaluate	27/64	$\frac{27}{64}$
40985	Combine	square root of 2x^2+5 square root of 50x^2+7 square root of 50x^2	$\sqrt{2 x^{2}} + 5 \sqrt{50 x^{2}} + 7 \sqrt{50 x^{2}}$
40986	Evaluate	27/36	$\frac{27}{36}$
40987	Evaluate	24/16	$\frac{24}{16}$
40988	Combine	m^2-2m^2	$m^{2} - 2 m^{2}$
40989	Evaluate	25^1.5	$25^{1.5}$
40990	Combine	9xy^3-4y^4-10x^2y^2+x^3y+3x^4+2x^2y^2-9y^4	$9 x y^{3} - 4 y^{4} - 10 x^{2} y^{2} + x^{3} y + 3 x^{4} + 2 x^{2} y^{2} - 9 y^{4}$
40991	Evaluate	25^-1.5	$25^{- 1.5}$
40992	Combine	-a^2-(-4a-(-15a^2-9a))-(1+(12a-1))	$- a^{2} - (- 4 a - (- 15 a^{2} - 9 a)) - (1 + (12 a - 1))$
40993	Evaluate	3/4-1/7	$\frac{3}{4} - \frac{1}{7}$
40994	Combine	fifth root of -729y^6+5y fifth root of 3y	$\sqrt[5]{- 729 y^{6}} + 5 y \sqrt[5]{3 y}$
40995	Combine	3/4x-4/7y-2x+6/7y	$\frac{3}{4} x - \frac{4}{7} y - 2 x + \frac{6}{7} y$
40996	Evaluate	-3/2*4	$- \frac{3}{2} \cdot 4$
40997	Combine	cube root of -16y^4+2y cube root of 2y	$\sqrt[3]{- 16 y^{4}} + 2 y \sqrt[3]{2 y}$
40998	Combine	cube root of -16z^4+8z cube root of 2z	$\sqrt[3]{- 16 z^{4}} + 8 z \sqrt[3]{2 z}$
40999	Evaluate	3/4+2/5	$\frac{3}{4} + \frac{2}{5}$
41000	Combine	-z^2 cube root of 54z+3 cube root of 2z^7	$- z^{2} \sqrt[3]{54 z} + 3 \sqrt[3]{2 z^{7}}$