 4*d**2 - 880*d + 16000 = 0?
20, 200
What is f in -f**3 + 1116*f**2 - 43440*f + 430400 = 0?
20, 1076
Factor 9*q**3 - 1509*q**2 + 61455*q + 151725.
3*(q - 85)**2*(3*q + 7)
Factor -2*s**3/7 - 20*s**2 + 142*s/7.
-2*s*(s - 1)*(s + 71)/7
Factor -14860*s**3 + 1040188*s**2 - 18202660*s - 14700.
-4*(s - 35)**2*(3715*s + 3)
Factor -4*p**3 + 8748*p + 157464.
-4*(p - 54)*(p + 27)**2
Find k, given that 5*k**4/3 + 17840*k**3/3 - 17850*k**2 + 53560*k/3 - 17855/3 = 0.
-3571, 1
Suppose 2*o**2/3 + 28912*o/3 + 104487968/3 = 0. Calculate o.
-7228
Solve -64*g**2 - 316*g + 408 = 0.
-6, 17/16
Factor 3*f**2 + 76203*f + 76200.
3*(f + 1)*(f + 25400)
Determine h so that 26*h**3/11 + 1678244*h**2/11 + 2461966344*h - 378767664 = 0.
-32274, 2/13
Suppose 2*o**3 - 132*o**2/13 - 48*o/13 + 640/13 = 0. Calculate o.
-2, 40/13, 4
Determine j so that -3*j**3 + 786*j**2 + 223944*j = 0.
-172, 0, 434
Factor k**3/7 + 11738*k**2/7 + 34445161*k/7.
k*(k + 5869)**2/7
Factor 3*m**4/4 + 2757*m**3/2 - 56040*m**2 + 563400*m.
3*m*(m - 20)**2*(m + 1878)/4
Find c, given that 74*c**3/21 + 1120*c**2/3 - 41494*c/21 + 740/7 = 0.
-111, 2/37, 5
Solve 460*x**4 - 124195*x**3 + 7997130*x**2 + 52648380*x + 571320 = 0 for x.
-6, -1/92, 138
Let -6*y**4 - 7282*y**3 - 26644*y**2 - 29048*y - 9680 = 0. What is y?
-1210, -2, -1, -2/3
Factor 5*a**2 - 8785*a - 168720.
5*(a - 1776)*(a + 19)
Let -d**4 - 72*d**3 - 652*d**2 - 2016*d - 1984 = 0. Calculate d.
-62, -4, -2
Solve g**3/3 - 689*g**2 + 10260*g = 0.
0, 15, 2052
Factor 2*u**3/7 - 3372*u**2/7 + 1421298*u/7.
2*u*(u - 843)**2/7
Factor 2*b**3 - 820*b**2 - 1646*b - 824.
2*(b - 412)*(b + 1)**2
Find q, given that 2*q**2/7 - 104788*q/7 + 1372565618/7 = 0.
26197
What is f in -4*f**4/3 + 84*f**3 + 256*f**2/3 = 0?
-1, 0, 64
Solve -4*p**4 + 9232*p**3 + 74032*p**2 + 185216*p + 148224 = 0.
-4, -2, 2316
Factor 4*n**3 + 164*n**2 + 700*n - 22500.
4*(n - 9)*(n + 25)**2
Factor 267*b**3/2 + 35*b**2/2 - 267*b/2 - 35/2.
(b - 1)*(b + 1)*(267*b + 35)/2
Factor -2*j**3/9 + 37954*j**2/9 - 180082240*j/9 + 180044288/9.
-2*(j - 9488)**2*(j - 1)/9
Factor -3*i**2 + 76110*i + 837573.
-3*(i - 25381)*(i + 11)
Factor 98*v**3 + 1054410*v**2 + 301254*v + 21518.
2*(v + 10759)*(7*v + 1)**2
Factor -4*d**2 - 30748*d + 277056.
-4*(d - 9)*(d + 7696)
Determine f so that -3*f**5 - 50814*f**4 - 215273490*f**3 - 860535084*f**2 - 1075452939*f - 430140534 = 0.
-8467, -2, -1
Solve 2*t**5/3 - 3*t**4 - 14*t**3/3 + 76*t**2/3 + 8*t - 160/3 = 0 for t.
-2, 2, 5/2, 4
Factor 4*m**2 - 86976*m + 173936.
4*(m - 21742)*(m - 2)
Solve -14*q**5/9 + 206*q**4/9 - 260*q**3/3 - 520*q**2/9 + 4624*q/9 + 448/3 = 0 for q.
-2, -2/7, 4, 6, 7
Factor -6*s**4/7 - 818*s**3/7 - 272*s**2/7.
-2*s**2*(s + 136)*(3*s + 1)/7
Determine n so that 5*n**4 + 515*n**3 + 5235*n**2 - 20475*n = 0.
-91, -15, 0, 3
Solve -305045*f**4 + 190955700*f**3 + 192809430*f**2 + 1551820*f + 3135 = 0 for f.
-1, -1/247, 627
Let -11*b**4/9 - 26*b**3/9 + 961*b**2/9 - 308*b/3 = 0. Calculate b.
-11, 0, 1, 84/11
Let -4*t**4 + 242614*t**3 - 606512*t**2 + 121298*t + 242604 = 0. What is t?
-1/2, 1, 2, 60651
Determine b so that -2*b**3/5 + 26*b**2/5 + 120*b = 0.
-12, 0, 25
Suppose -35192045*x**3 - 318360*x**2 - 720*x = 0. What is x?
-12/2653, 0
What is a in -2*a**3/17 - 5346*a**2/17 - 53310*a/17 - 133150/17 = 0?
-2663, -5
What is v in -2*v**3/3 - 1262*v**2 = 0?
-1893, 0
Solve 5*x**4 - 80*x**3 - 10635*x**2 - 31270*x - 20720 = 0 for x.
-37, -2, -1, 56
Let -u**3/3 + 689*u**2/3 - 142832*u/3 + 9311572/3 = 0. Calculate u.
158, 373
Factor -5*x**2 + 1473420*x - 108548324820.
-5*(x - 147342)**2
Factor -4*z**2/3 + 289264*z/3 - 5229603856/3.
-4*(z - 36158)**2/3
Factor 4*c**3 + 368*c**2 + 5676*c - 6048.
4*(c - 1)*(c + 21)*(c + 72)
Factor -2*c**4 + 3004*c**3 - 1233674*c**2 + 79359672*c - 1395821448.
-2*(c - 714)**2*(c - 37)**2
Factor 4*s**4 - 2028*s**3 + 23904*s**2 - 71408*s + 63360.
4*(s - 495)*(s - 8)*(s - 2)**2
Determine w, given that -108*w**4 + 141288*w**3 - 46224688*w**2 + 10223328*w + 13686912 = 0.
-4/9, 2/3, 654
Let 4*b**2 + 19140*b + 1561064 = 0. What is b?
-4702, -83
Suppose b**4 - 41*b**3 - 332*b**2 + 22620*b - 82800 = 0. What is b?
-23, 4, 30
Let c**2/3 - 23*c/3 - 840 = 0. What is c?
-40, 63
What is m in 290163*m**3 - 139274508*m**2 - 1791348*m - 5760 = 0?
-2/311, 480
Let n**3/3 - 199*n**2/3 - 2512*n/3 - 4220/3 = 0. What is n?
-10, -2, 211
Factor -t**2 + 1603*t - 1602.
-(t - 1602)*(t - 1)
Factor v**4/6 + 897*v**3/2 + 556605*v**2/2 - 64218825*v/2.
v*(v - 99)*(v + 1395)**2/6
Factor 4*q**3 + 272*q**2 + 100*q - 11256.
4*(q - 6)*(q + 7)*(q + 67)
Let 3*s**4 + 263535*s**3 + 5787689778*s**2 + 5786899188*s - 11574852504 = 0. What is s?
-43922, -2, 1
Factor 2*y**3 - 49458*y**2 + 305736990*y + 305786450.
2*(y - 12365)**2*(y + 1)
Suppose -2*t**3 - 5692*t**2 - 4061218*t - 16153928 = 0. What is t?
-1421, -4
Factor -2*c**3/7 + 128*c**2/7 + 360*c/7 - 6336/7.
-2*(c - 66)*(c - 6)*(c + 8)/7
Factor -89*q**3 - 45214*q**2 - 1016*q.
-q*(q + 508)*(89*q + 2)
Factor 35*k**2 + 1695*k + 18910.
5*(k + 31)*(7*k + 122)
Solve -3*g**2/2 - 16989*g - 96208707/2 = 0.
-5663
Find q, given that 4*q**5/9 + 194*q**4/9 + 192*q**3 - 1782*q**2 = 0.
-27, 0, 11/2
Solve -2*r**5/17 - 70*r**4/17 + 2*r**3/17 + 70*r**2/17 = 0.
-35, -1, 0, 1
Factor -h**3/4 - 799*h**2/2 - 1595*h - 1594.
-(h + 2)**2*(h + 1594)/4
Solve y**2/8 + 8439*y/8 + 71587/4 = 0 for y.
-8422, -17
Suppose 3*n**2/8 - 10035*n/8 + 69951/4 = 0. Calculate n.
14, 3331
Determine i so that -i**3 - 623*i**2 - 96720*i + 97344 = 0.
-312, 1
What is g in 5*g**2 - 4645*g - 66010 = 0?
-14, 943
Suppose 50*z**2 - 545*z + 890 = 0. What is z?
2, 89/10
Solve 3*d**4 + 2643*d**3 - 45909*d**2 - 99735*d - 51186 = 0 for d.
-898, -1, 19
What is n in 2*n**2 + 5139780*n + 3302167306050 = 0?
-1284945
Factor z**3/7 - 5190*z**2/7 - 36369*z/7 - 51970/7.
(z - 5197)*(z + 2)*(z + 5)/7
Factor -3*l**2/7 + 36*l/7 - 96/7.
-3*(l - 8)*(l - 4)/7
Factor -c**2/4 + 217*c/2 + 15950.
-(c - 550)*(c + 116)/4
Factor 2*f**2/9 - 2338*f/9 + 147668/9.
2*(f - 1102)*(f - 67)/9
Suppose -1690*w**4 + 40612*w**3 + 678208*w**2/5 - 21012*w/5 + 162/5 = 0. Calculate w.
-3, 1/65, 27
Factor -5*k**2/3 + 37150*k/3 + 124000.
-5*(k - 7440)*(k + 10)/3
Suppose 2*o**3 + 8817*o**2/2 + 44982*o + 10970 = 0. What is o?
-2194, -10, -1/4
Factor -4*h**2/5 - 14424*h/5 - 28832/5.
-4*(h + 2)*(h + 3604)/5
Determine c, given that -2*c**5 + 14*c**4 + 22*c**3 - 174*c**2 - 180*c = 0.
-3, -1, 0, 5, 6
Find o, given that -2*o**4 + 3028*o**3 - 1447344*o**2 + 173501420*o + 21613239794 = 0.
-73, 529
Find r such that -6*r**2 + 20*r + 2304 = 0.
-18, 64/3
What is c in 3*c**4 - 120*c**3 - 11898*c**2 - 182400*c - 170625 = 0?
-25, -1, 91
Find u, given that u**2/3 - 506*u/3 + 835 = 0.
5, 501
Solve -o**5/3 - 73*o**4/3 - 490*o**3 - 5036*o**2/3 - 4760*o/3 = 0 for o.
-35, -34, -2, 0
Suppose j**5/2 + 2983*j**4/2 + 5963*j**3/2 + 2981*j**2/2 = 0. What is j?
-2981, -1, 0
Factor -90*a**3 + 235225*a**2 - 153650920*a - 59788715.
-5*(a - 1307)**2*(18*a + 7)
What is u in 5*u**4 + 200*u**3 + 1645*u**2 + 4450*u + 3000 = 0?
-30, -5, -4, -1
Suppose 106*x**2/3 + 186*x + 140/3 = 0. Calculate x.
-5, -14/53
Solve 5*f**4 - 325640*f**3 + 5303047265*f**2 - 31806561630*f = 0.
0, 6, 32561
Factor 30*c**4 - 445*c**3 + 345*c**2 + 70*c.
5*c*(c - 14)*(c - 1)*(6*c + 1)
Factor 4*p**3 + 1220*p**2 - 27200*p - 390000.
4*(p - 30)*(p + 10)*(p + 325)
Let -4*h**4 - 804*h**3 + 5800*h**2 - 4992*h = 0. Calculate h.
-208, 0, 1, 6
Factor 5*s**3 + 301895*s**2 + 4557180495*s + 4556878605.
5*(s + 1)*(s + 30189)**2
Factor -4*g**3/7 + 36*g**2/7 + 8544*g/7 - 4928.
-4*(g - 49)*(g - 4)*(g + 44)/7
Factor 4*c**2 + 1192*c - 14880.
4*(c - 12)*(c + 310)
Find q, given that q**2/2 + 1321*q/2 = 0.
-1321, 0
Factor -g**2/9 - 19606*g/9 + 71929/3.
-(g - 11)*(g + 19617)/9
Suppose 6*n**4 - 7426*n**3 - 414064*n**2/3 - 174120*n - 170816/3 = 0. What is n?
-17, -2/3, 1256
Let 5*t**2 - 995*t - 297660 = 0. Calculate t.
-164, 363
Factor 5*q**2 - 260320*q + 1561740.
5*(q - 52058)*(q - 6)
Solve -3*b**5 + 16665*b**4 + 66717*b**3 - 50001*b**2 - 166794*b + 133416 = 0 for b.
-4, -2, 1, 5559
Factor -b**2/2 + 44871*b - 2013406641/2.
-(b - 44871)**2/2
Factor 5*c**3/3 + 3907*c**2/3 + 1559*c/3 - 781.
(c + 1)*(c + 781)*(5*c - 3)/3
Determine x, given that -2*x**2/7 + 16644*x/7 = 0.
0, 8322
Factor 4*x**3 - 2488*x**2 + 2484*x.
4*x*(x - 621)*(x