*d**2/7 = 0.
0, 2, 447
Suppose 151*w**3/4 + 33*w**2/2 - 151*w - 66 = 0. What is w?
-2, -66/151, 2
Factor -5*l**3 - 34240*l**2 + 34245*l.
-5*l*(l - 1)*(l + 6849)
Determine w so that -182*w**3/3 + 172*w**2/3 + 864*w - 1344 = 0.
-4, 12/7, 42/13
Let 2*b**4 + 1138*b**3/7 - 4394*b**2/7 + 2222*b/7 + 1020/7 = 0. What is b?
-85, -2/7, 1, 3
Solve -2*p**2 - 164552*p - 3384670088 = 0.
-41138
Determine m, given that -252*m**3 - 43608*m**2 - 2067*m + 1557 = 0.
-173, -3/14, 1/6
Solve -3*g**3 + 208995*g**2 - 3639386625*g - 18202158375 = 0.
-5, 34835
Let l**2/2 + 267*l + 1593/2 = 0. What is l?
-531, -3
Let -4*m**2 - 10220*m + 30696 = 0. Calculate m.
-2558, 3
Factor q**5 - 129*q**4 + 251*q**3 + 381*q**2.
q**2*(q - 127)*(q - 3)*(q + 1)
Factor 4*k**3 - 2088*k**2 - 19084*k - 16992.
4*(k - 531)*(k + 1)*(k + 8)
Factor c**5 + 45*c**4 + 234*c**3.
c**3*(c + 6)*(c + 39)
Suppose -4*z**2 + 2780840*z - 483316944100 = 0. Calculate z.
347605
Determine g so that 4*g**3 - 172*g**2 + 296*g + 1312 = 0.
-2, 4, 41
Determine g, given that 2*g**5/7 + 1844*g**4/7 + 564184*g**3/7 + 56516848*g**2/7 - 232896768*g/7 + 235183104/7 = 0.
-312, -302, 2
Factor -2*w**3/3 + 530*w**2/3 - 35894*w/3 + 34322.
-2*(w - 131)**2*(w - 3)/3
Let -2*n**4/7 - 3760*n**3/7 + 10334*n**2 + 334408*n/7 + 349416/7 = 0. Calculate n.
-1899, -2, 23
Solve 10*q**4 + 348*q**3 + 1920*q**2 - 4924*q + 2646 = 0 for q.
-27, -49/5, 1
Factor -i**2/4 + 191*i/4 - 555/2.
-(i - 185)*(i - 6)/4
What is p in -40*p**4 + 625*p**3 + 8625*p**2 + 19375*p - 15625 = 0?
-5, 5/8, 25
Let 3*x**2/4 + 824658*x + 226686938988 = 0. What is x?
-549772
Factor -2*c**3/5 - 1106*c**2/5 + 20394*c/5 - 92502/5.
-2*(c - 9)**2*(c + 571)/5
Solve j**4/6 + 305*j**3/2 + 45439*j**2/3 + 406710*j + 391716 = 0 for j.
-806, -54, -1
Let -i**3/7 + 694*i**2/7 - 126412*i/7 + 2056392/7 = 0. Calculate i.
18, 338
Let 6*i**5 - 1568*i**4 + 5138*i**3 + 5696*i**2 - 5144*i - 4128 = 0. What is i?
-1, -2/3, 1, 4, 258
Determine v, given that -3*v**5 - 138*v**4 + 663*v**3 + 3162*v**2 + 516*v - 4200 = 0.
-50, -2, 1, 7
Suppose -3*s**3 - 3822*s**2 - 78939*s = 0. What is s?
-1253, -21, 0
Factor 4*z**3 + 44*z**2 - 7104*z.
4*z*(z - 37)*(z + 48)
Factor r**2/3 + 7291*r/3 - 21900.
(r - 9)*(r + 7300)/3
Solve 316*l**2/3 - 6427*l + 305/3 = 0 for l.
5/316, 61
Solve f**4/5 - 433*f**3/5 + 8868*f**2 + 568764*f/5 - 591408 = 0 for f.
-15, 4, 222
What is r in 60*r**3 - 8815*r**2 + 16665*r + 1450 = 0?
-1/12, 2, 145
Factor -o**4 + 653*o**3 - 3248*o**2 + 5188*o - 2592.
-(o - 648)*(o - 2)**2*(o - 1)
Factor -2*x**2/9 + 70808*x/3 - 626721608.
-2*(x - 53106)**2/9
Factor -2*v**2/5 + 598*v/5 - 10116/5.
-2*(v - 281)*(v - 18)/5
Let -4*c**3 - 3356*c**2 - 930240*c - 85021488 = 0. What is c?
-306, -227
Find h, given that -5*h**2 + 2225*h + 2230 = 0.
-1, 446
Solve -t**5/4 + 6*t**4 + 687*t**3 - 43235*t**2/2 + 78117*t/4 + 83655/2 = 0 for t.
-55, -1, 2, 39
Determine m so that 4*m**3 - 12704*m**2 + 76100*m - 63400 = 0.
1, 5, 3170
Solve -2*d**5/3 + 1364*d**4 + 2*d**3/3 - 1364*d**2 = 0 for d.
-1, 0, 1, 2046
Factor 5*u**3 - 16540*u**2 + 13711600*u - 54582080.
5*(u - 1652)**2*(u - 4)
What is q in 100*q**5 + 15780*q**4 + 498376*q**3 - 110448*q**2 - 323552*q - 80256 = 0?
-114, -44, -2/5, 1
Suppose o**4/4 + 81*o**3 - 179*o**2/2 - 2697*o - 20475/4 = 0. Calculate o.
-325, -3, 7
Factor -3*w**2/5 + 903*w/5 - 1794/5.
-3*(w - 299)*(w - 2)/5
Determine a, given that 2*a**4/3 - 638*a**3/3 + 20014*a**2/3 - 38122*a/3 + 6248 = 0.
1, 33, 284
Find a such that 2*a**3 - 60*a**2 + 334*a - 276 = 0.
1, 6, 23
Let -10*s**5/9 - 1112*s**4/3 - 8534*s**3/9 + 23888*s**2/9 + 2056*s - 10592/9 = 0. Calculate s.
-331, -4, -1, 2/5, 2
Suppose 3*m**5 - 1266*m**4 - 7683*m**3 - 9006*m**2 + 7680*m + 10272 = 0. What is m?
-4, -2, -1, 1, 428
Factor 4*c**4 - 1492*c**3 + 1484*c**2 + 1492*c - 1488.
4*(c - 372)*(c - 1)**2*(c + 1)
Find i, given that -i**5/7 - 18958*i**4/7 + 75842*i**3/7 - 113768*i**2/7 + 75847*i/7 - 18962/7 = 0.
-18962, 1
Factor y**3 - 1327*y**2 + 11876*y - 18452.
(y - 1318)*(y - 7)*(y - 2)
Factor -5*v**3 + 1620*v**2 - 1585*v - 9690.
-5*(v - 323)*(v - 3)*(v + 2)
Solve -a**3/2 - 59*a**2/2 + 1050*a = 0 for a.
-84, 0, 25
Factor -30976*w**2/5 + 121792*w/5 - 119716/5.
-4*(88*w - 173)**2/5
What is l in -l**5/5 + 82*l**4/5 + 183*l**3/5 - 1228*l**2/5 - 2672*l/5 - 1344/5 = 0?
-4, -1, 4, 84
Let -q**2/2 - 23970*q - 287280450 = 0. Calculate q.
-23970
Factor 3*x**2/7 - 1074*x + 7515/7.
3*(x - 2505)*(x - 1)/7
What is i in 1305*i**3/2 - 1554*i**2 + 1677*i/2 + 63 = 0?
-1/15, 1, 42/29
Let -3*h**4 - 11883*h**3 - 23745*h**2 + 35631*h = 0. What is h?
-3959, -3, 0, 1
Factor 2*n**3 - 4668*n**2 + 9330*n - 4664.
2*(n - 2332)*(n - 1)**2
Find l such that -2*l**2/13 + 18914*l/13 - 528024/13 = 0.
28, 9429
Find i, given that i**5/2 + i**4/2 - 413*i**3/2 + 2395*i**2/2 + 3014*i + 1610 = 0.
-23, -1, 10, 14
Factor -4*y**2 + 199768*y - 2494203364.
-4*(y - 24971)**2
Factor -2*y**3/21 - 1198*y**2 + 16774*y/7 - 25162/21.
-2*(y - 1)**2*(y + 12581)/21
Determine u, given that -u**4/4 + 395*u**3/2 + 3416*u**2 + 22173*u/2 + 31473/4 = 0.
-13, -3, -1, 807
Solve 5*g**4/11 - 427*g**3/11 - 290*g**2/11 + 2764*g/11 - 1032/11 = 0.
-3, 2/5, 2, 86
Determine d, given that -3*d**5 + 513*d**4 - 22932*d**3 + 85668*d**2 - 83664*d = 0.
0, 2, 83, 84
Factor -3*i**2/5 - 54924*i - 1256935740.
-3*(i + 45770)**2/5
Suppose 3*m**5 - 201*m**4 + 1758*m**3 + 5172*m**2 - 7080*m - 17472 = 0. What is m?
-2, 2, 13, 56
Let -2*s**5 - 34*s**4 + 270*s**3 - 190*s**2 - 1148*s + 1104 = 0. Calculate s.
-23, -2, 1, 3, 4
Factor w**3 - 154*w**2 - 167303*w + 37086768.
(w - 293)**2*(w + 432)
Factor b**3/2 - 2207*b**2 + 2433216*b + 4875264.
(b - 2208)**2*(b + 2)/2
Factor 3*g**3 + 5703*g**2 + 2577477*g - 127808415.
3*(g - 45)*(g + 973)**2
Determine h, given that -2*h**5 + 692*h**4 - 62490*h**3 + 443456*h**2 + 1142440*h = 0.
-2, 0, 10, 169
What is w in -2*w**2/9 + 98*w/9 + 576 = 0?
-32, 81
Factor 2*d**3/9 + 2534*d**2/9 + 5062*d/9 + 2530/9.
2*(d + 1)**2*(d + 1265)/9
Suppose 5*m**4 - 45*m**3 - 350*m**2 + 4740*m - 12600 = 0. Calculate m.
-10, 6, 7
Factor 5*p**4 - 80*p**3 - 1025*p**2 + 5060*p.
5*p*(p - 23)*(p - 4)*(p + 11)
Let -3*o**4/5 - 104*o**3/5 - 51*o**2/5 + 566*o/5 - 408/5 = 0. What is o?
-34, -3, 1, 4/3
Factor -2*a**3/7 + 22698*a**2/7 - 64388550*a/7 - 64411250/7.
-2*(a - 5675)**2*(a + 1)/7
Factor 3*r**2 - 48378*r + 195035907.
3*(r - 8063)**2
Solve 3*t**5 - 102*t**4 + 135*t**3 + 1740*t**2 + 2652*t + 1152 = 0 for t.
-2, -1, 6, 32
What is h in 2*h**3/7 + 10126*h**2/7 - 172688*h/7 + 162560/7 = 0?
-5080, 1, 16
Factor 5*g**4 - 185*g**3 + 645*g**2 + 585*g - 2970.
5*(g - 33)*(g - 3)**2*(g + 2)
Let -h**2/2 - 9*h + 104 = 0. What is h?
-26, 8
Find s such that -s**3/6 + 337*s**2/3 - 1115*s/2 = 0.
0, 5, 669
What is a in -418*a**2 + 746*a + 1524 = 0?
-254/209, 3
Suppose 1553*m**2/2 + 23301*m/2 + 45 = 0. What is m?
-15, -6/1553
Find t such that -3*t**4/5 - 1053*t**3/5 - 210*t**2 = 0.
-350, -1, 0
Find z such that 6*z**5/5 - 202*z**4/3 + 14152*z**3/15 + 824*z**2/5 - 56896*z/15 + 6272/15 = 0.
-2, 1/9, 2, 28
Suppose -10*w**5 + 3296*w**4 - 274170*w**3 + 417884*w**2 + 1018112*w + 322752 = 0. Calculate w.
-1, -2/5, 3, 164
Let 2*l**4/9 - 14*l**3/3 - 374*l**2/9 + 154*l - 108 = 0. What is l?
-9, 1, 2, 27
Factor -u**2 + 3173476*u - 2517737480644.
-(u - 1586738)**2
Solve -75*r**5 - 3118785*r**4 - 2494992*r**3 - 498996*r**2 = 0 for r.
-41583, -2/5, 0
Factor -363*z**2/4 + 1551*z - 6627.
-3*(11*z - 94)**2/4
What is m in 5*m**4 + 7160*m**3 + 2591680*m**2 + 20277760*m = 0?
-712, -8, 0
Factor 8*m**3 + 150*m**2 - 396*m - 378.
2*(m - 3)*(m + 21)*(4*m + 3)
Factor -2*d**2 + 85988*d - 924242018.
-2*(d - 21497)**2
Let -2*t**4/3 - 4*t**3/3 + 38*t**2/3 + 64*t/3 - 32 = 0. Calculate t.
-4, -3, 1, 4
Determine j so that -1737*j**2/2 - 1713*j + 48 = 0.
-2, 16/579
Factor -3*x**4 - 324*x**3 - 2673*x**2.
-3*x**2*(x + 9)*(x + 99)
Factor 2*m**3 - 1266*m**2 + 198432*m + 606744.
2*(m - 318)**2*(m + 3)
Suppose -3*c**4/7 - 5970*c**3/7 - 130176*c**2/7 - 565920*c/7 + 1700352/7 = 0. Calculate c.
-1968, -12, 2
Factor -4*a**2 + 524*a + 8120.
-4*(a - 145)*(a + 14)
Solve -3*z**3 + 7926*z**2 - 15843*z + 7920 = 0 for z.
1, 2640
Determine w so that w**2/3 + 1018*w/3 + 28119 = 0.
-927, -91
Factor 4*f**2 + 124373*f + 31093.
(f + 31093)*(4*f + 1)
Suppose 5*y**4 - 455*y**3 + 8480*y**2 + 22620*y - 75