7 - 9963*z**2/7 + 2630976*z/7 + 8653824 = 0. Calculate z.
-32, 63, 313
Determine n, given that 20*n**3 + 112525*n**2 + 47178530*n + 11787600 = 0.
-5170, -456, -1/4
Determine q, given that q**2 + 62412*q - 561789 = 0.
-62421, 9
Let t**2 + 8166*t - 2338711 = 0. Calculate t.
-8443, 277
Solve s**5 + 28281*s**4/2 - 488957*s**3 + 2282145*s**2/2 - 212657*s - 453600 = 0 for s.
-14175, -1/2, 1, 2, 32
Determine w so that -4*w**5 + 1908*w**4 - 223208*w**3 + 2103904*w**2 - 6600576*w + 6540800 = 0.
2, 4, 175, 292
Factor -2*d**2/9 - 760810*d/3.
-2*d*(d + 1141215)/9
Solve 1996*f**5/5 - 245492*f**4/5 - 249472*f**3/5 - 1984*f**2/5 = 0.
-1, -4/499, 0, 124
Suppose 3*t**4/2 + 2003*t**3/2 - 659045*t**2/2 - 470604327*t/2 + 78470631 = 0. What is t?
-573, 1/3, 478
Factor -2*y**2/9 - 256066*y/9 + 14345968/9.
-2*(y - 56)*(y + 128089)/9
Determine v so that -2*v**4/5 - 380*v**3 + 848624*v**2/5 - 3363968*v/5 = 0.
-1282, 0, 4, 328
Factor -2*j**2 + 2047356*j - 14331394.
-2*(j - 1023671)*(j - 7)
Suppose 18*t**5/7 - 6916542*t**4/7 + 2305490*t**3/7 + 1207650*t**2 - 2305508*t/7 - 1537008/7 = 0. What is t?
-1, -1/3, 2/3, 1, 384252
Solve 3*h**5 + 5409*h**4 + 2386014*h**3 - 47114238*h**2 + 87048783*h - 42325971 = 0.
-911, 1, 17
Factor -5*i**3 - 192715*i**2 - 770795*i - 578085.
-5*(i + 1)*(i + 3)*(i + 38539)
Factor 2*m**2 - 498598*m - 26930124.
2*(m - 249353)*(m + 54)
Find z, given that z**4/2 + 841*z**3/2 + 22931*z**2/2 + 135911*z/2 + 56910 = 0.
-813, -20, -7, -1
Find n, given that -153*n**3 - 1995*n**2/4 + 15471*n/2 - 28335/4 = 0.
-1889/204, 1, 5
Find u such that -4*u**4/3 - 3560*u**3/3 + 1311916*u**2/3 - 86841280*u/3 + 537555200 = 0.
-1183, 40, 213
Suppose 2*v**3/3 + 44348*v**2 + 737396352*v - 4425974784 = 0. What is v?
-33264, 6
Find t, given that -3*t**4/7 - 227865*t**3/7 - 3873063*t**2/7 - 17086347*t/7 - 22553586/7 = 0.
-75938, -11, -3
Determine x so that -6*x**5 - 59606*x**4/3 - 226686*x**3 - 283142*x**2 + 6513220*x/3 - 1078000 = 0.
-3300, -7, 5/9, 2
Suppose 4*v**3 + 18628752*v**2 + 21689269665492*v - 303653426563256 = 0. Calculate v.
-2328601, 14
Let 3*t**5/7 + 7761*t**4/7 - 184446*t**3 + 51424320*t**2/7 + 52723200*t/7 = 0. Calculate t.
-2746, -1, 0, 80
Factor y**2/6 + 32123*y/2 + 4899213.
(y + 306)*(y + 96063)/6
Factor 3*u**2 + 18432*u + 1239504.
3*(u + 68)*(u + 6076)
Determine w so that w**2/3 + 352931*w/3 + 1058766 = 0.
-352922, -9
Factor 3*w**2/5 - 3185892*w/5 - 637179.
3*(w - 1061965)*(w + 1)/5
Factor 2*b**3 - 918*b**2 + 105916*b - 1467840.
2*(b - 278)*(b - 165)*(b - 16)
Solve 2*z**2/21 - 440650*z/3 + 37013736/7 = 0.
36, 1542239
Suppose -4*f**5/3 + 2372*f**4 - 115944*f**3 + 3500584*f**2/3 + 7349652*f - 8402940 = 0. What is f?
-5, 1, 27, 1729
Factor -5*r**2 + 19323760*r - 18670385026880.
-5*(r - 1932376)**2
Let 3*i**5 - 4947*i**4 + 2529102*i**3 - 375305478*i**2 - 2529105*i + 375310425 = 0. What is i?
-1, 1, 259, 695
Factor l**2 - 4431*l + 123284.
(l - 4403)*(l - 28)
Factor -z**4/4 - 542587*z**3/4 - 3255495*z**2/4 - 4883229*z/4.
-z*(z + 3)**2*(z + 542581)/4
Factor -3*r**3 + 8622*r**2 - 298683*r + 1669332.
-3*(r - 2839)*(r - 28)*(r - 7)
Let 4*n**2 - 980*n + 36616 = 0. Calculate n.
46, 199
Factor -4*v**3 + 208660*v**2 - 2745950732*v + 644417964764.
-4*(v - 25963)**2*(v - 239)
Find g such that -213*g**3/4 + 90543*g**2/4 - 402561*g/2 + 16848 = 0.
6/71, 9, 416
Solve 2*b**3/3 + 4894*b**2/3 + 291212*b/3 + 95440 = 0.
-2386, -60, -1
Find u, given that -3*u**4 + 312867*u**3 + 2190216*u**2 = 0.
-7, 0, 104296
Suppose -u**2/4 + 16407*u/2 - 33605192 = 0. What is u?
4798, 28016
Factor c**2/2 + 4078700*c + 8317896845000.
(c + 4078700)**2/2
Determine b, given that 3*b**3/5 - 5001*b**2/5 + 92208*b/5 + 10889964/5 = 0.
-38, 58, 1647
Find i such that -25116*i**3/5 - 1908808*i**2/5 + 76478828*i/5 - 4872 = 0.
-105, 2/6279, 29
Find t, given that -5*t**4/8 - 11747*t**3/8 - 249509*t**2/4 + 798023*t/2 + 169491 = 0.
-2306, -49, -2/5, 6
What is h in 15*h**5/2 - 363*h**4/4 - 177*h**3/2 + 39*h**2/4 = 0?
-1, 0, 1/10, 13
Factor v**3 + 502*v**2 + 26195*v - 143650.
(v - 5)*(v + 65)*(v + 442)
Solve -5*t**4 + 73190*t**3 + 439260*t**2 + 878600*t + 585760 = 0.
-2, 14644
Suppose 76*c**2 - 239053*c + 820062 = 0. What is c?
261/76, 3142
What is z in -4*z**2 + 27974976*z - 48912455137536 = 0?
3496872
Factor 5*g**4 - 19020105*g**3 + 18088229220600*g**2 - 18088210200500*g.
5*g*(g - 1902010)**2*(g - 1)
Solve -20*p**5/9 + 686*p**4 + 143408*p**3/9 - 312182*p**2/3 + 120952*p + 88440 = 0.
-134/5, -1/2, 3, 330
Factor -1182*x**2/5 + 245846*x/5 + 416.
-2*(x - 208)*(591*x + 5)/5
Factor 5*a**3 + 1584060*a**2 + 125468640180*a + 1003647744160.
5*(a + 8)*(a + 158402)**2
Suppose -54080*l**4 - 8007649520*l**3 - 296422819619205*l**2 + 91207590012580*l - 7015983041780 = 0. What is l?
-592283/8, 2/13
Factor 2*j**3/13 + 411540*j**2/13 + 1628606232*j + 9770497776.
2*(j + 6)*(j + 102882)**2/13
Suppose 3*p**5/5 - 1893*p**4 + 66027*p**3/5 + 254901*p**2/5 + 273846*p/5 + 18888 = 0. Calculate p.
-1, 10, 3148
Factor p**3 + 57263*p**2 + 858776*p + 3205888.
(p + 7)*(p + 8)*(p + 57248)
What is s in -3*s**2/5 + 59019*s/5 - 46760490 = 0?
5498, 14175
Determine i, given that -5*i**5 + 95*i**4 + 355*i**3 - 11335*i**2 + 30250*i - 19360 = 0.
-11, 1, 2, 11, 16
Suppose 64*w**5 + 74272*w**4 - 27382268*w**3 + 2214460576*w**2 + 1112369104*w + 139260352 = 0. Calculate w.
-1468, -1/4, 154
Factor -2*c**3/5 + 1921008*c**2 - 11532108780234*c/5 + 23064179140324/5.
-2*(c - 2401259)**2*(c - 2)/5
Find t such that 2*t**3/5 - 394*t**2/5 + 15084*t/5 + 48240 = 0.
-12, 75, 134
Find a such that -a**2 - 1168995*a - 1168994 = 0.
-1168994, -1
Let 2*m**5 - 5542*m**4 + 1175740*m**3 + 5978572*m**2 + 8407746*m + 3610458 = 0. What is m?
-3, -1, 237, 2539
What is y in -4*y**5 + 4672*y**4 - 316780*y**3 + 5774944*y**2 - 38952880*y + 82494400 = 0?
4, 10, 47, 1097
Solve -t**5 + 339*t**4 - 21347*t**3 + 115761*t**2 + 21348*t - 116100 = 0 for t.
-1, 1, 6, 75, 258
Determine i so that 5*i**4 - 805*i**3 - 2576080*i**2 + 10316880*i = 0.
-644, 0, 4, 801
Suppose -3*c**5/5 + 44736*c**4 - 4166262444*c**3/5 - 23358276624*c**2 - 734293201728*c/5 - 267041747712 = 0. What is c?
-20, -4, 37294
Determine l so that 2*l**4 - 274328*l**3 + 9407530038*l**2 - 37619970480*l - 197535088800 = 0.
-3, 7, 68580
Factor 5*z**2 + 11064760*z + 11064755.
5*(z + 1)*(z + 2212951)
Suppose -4*i**4/3 - 14447032*i**3/3 - 13044781403524*i**2/3 + 8696535382720*i - 4348270099200 = 0. Calculate i.
-1805880, 1
Let -3*x**4/5 - 465*x**3 - 71403*x**2/5 - 55167*x/5 + 414594/5 = 0. What is x?
-743, -31, -3, 2
Factor -5043*b**4 - 65508078*b**3 - 212732690007*b**2 + 20754876420*b - 506220300.
-3*(b + 6495)**2*(41*b - 2)**2
Factor -429025*r**2/2 + 919620*r - 985608.
-(655*r - 1404)**2/2
Let -384*x**4 + 9508*x**3 + 30828*x**2 + 31596*x + 10660 = 0. What is x?
-1, 2665/96
Suppose 2*o**4/15 + 368194*o**3/15 + 5648801662*o**2/5 + 10167327526*o/3 + 33890600836/15 = 0. What is o?
-92047, -2, -1
Factor -39*p**2/2 + 1200339*p + 4801668.
-3*(p + 4)*(13*p - 800278)/2
Find k, given that k**2/2 + 5155082*k + 13287435213362 = 0.
-5155082
Determine r, given that -r**5/3 + 997*r**4 - 94616*r**3/3 - 213176*r**2/3 + 126160*r + 804848/3 = 0.
-2, 2, 34, 2959
Factor 10*t**3 - 1205*t**2 - 21635*t + 75480.
5*(t - 136)*(t - 3)*(2*t + 37)
Factor -4*h**3 - 4864*h**2 - 1017324*h - 1012464.
-4*(h + 1)*(h + 267)*(h + 948)
Suppose 2*o**4 + 3392436*o**3/5 - 21712136*o**2/5 - 46137936*o/5 + 4342400 = 0. Calculate o.
-339250, -2, 2/5, 8
What is g in -g**2 - 851166*g - 1702328 = 0?
-851164, -2
Factor -4*h**2 - 439056*h + 2195380.
-4*(h - 5)*(h + 109769)
Solve -i**4/2 + 9242*i**3 - 46197*i**2 - 9242*i + 92395/2 = 0.
-1, 1, 5, 18479
Determine q, given that -265*q**3 + 360325*q**2 - 1693375*q - 508125 = 0.
-15/53, 5, 1355
Suppose -4*o**4/7 + 424*o**3 + 484672*o**2/7 + 957440*o/7 = 0. Calculate o.
-136, -2, 0, 880
Suppose 2*n**3/7 - 6992*n**2/7 - 1382630*n/7 - 66532300/7 = 0. What is n?
-95, 3686
Factor -2*z**3/3 - 4545778*z**2/3 - 9091550*z/3 - 1515258.
-2*(z + 1)**2*(z + 2272887)/3
Factor -h**3 - 433*h**2 - 536*h + 324220.
-(h - 26)*(h + 29)*(h + 430)
Find b, given that 4*b**3/7 - 18809460*b**2/7 - 37618932*b/7 - 18809468/7 = 0.
-1, 4702367
Find j, given that 14*j**3/5 - 818355164*j**2/5 + 2391804217829672*j - 683372620304720 = 0.
2/7, 29226970
Factor k**2/2 + 868