611*c**2 - 192640*c + 475152 = 0 for c.
-76, -12, -2, 1, 521
Factor d**2 - 78229*d + 234678.
(d - 78226)*(d - 3)
Determine q so that -q**2/2 + 5903*q/2 + 5003625 = 0.
-1375, 7278
Factor 3*u**3 + 23229*u**2 - 2520840*u - 7771500.
3*(u - 110)*(u + 3)*(u + 7850)
Let -17*v**5/6 + 605*v**4/2 - 37261*v**3/6 + 48707*v**2/2 - 22839*v - 6804 = 0. Calculate v.
-4/17, 2, 3, 21, 81
Factor 2*p**3/5 - 432*p**2/5 - 43418*p/5 - 282072/5.
2*(p - 292)*(p + 7)*(p + 69)/5
Let -362*b**2 + 183492*b + 21294 = 0. What is b?
-21/181, 507
Factor 2*s**2 - 5458*s - 10400892.
2*(s - 4022)*(s + 1293)
Let -2*x**2/5 - 47572612*x - 1414470882814090 = 0. What is x?
-59465765
Find j, given that -6*j**5 - 39992*j**4/7 - 199148*j**3/21 + 439016*j**2/21 - 39922*j/7 = 0.
-19961/21, -3, 0, 1/3, 1
Suppose -2*p**4/11 + 890*p**3/11 - 110708*p**2/11 + 3981456*p/11 + 372096 = 0. What is p?
-1, 68, 114, 264
Solve -4*o**3/5 - 3954648*o**2/5 + 3954651*o/5 - 988663/5 = 0 for o.
-988663, 1/2
Let 17388*t**5/5 - 6381444*t**4/5 + 12728228*t**3/5 - 6375836*t**2/5 + 5824*t/5 + 1168 = 0. What is t?
-2/69, 2/63, 1, 365
What is k in 3*k**4 - 8541*k**3 - 3*k**2 + 8541*k = 0?
-1, 0, 1, 2847
Factor 4*k**3 - 232096*k**2 + 3366552468*k + 6734033352.
4*(k - 29013)**2*(k + 2)
Determine k, given that -2*k**4 - 12451470*k**3 - 24902934*k**2 - 12451466*k = 0.
-6225733, -1, 0
Determine k so that k**5/7 + 611*k**4 - 949842*k**3/7 + 50466240*k**2/7 + 104766048*k/7 = 0.
-4491, -2, 0, 108
Suppose 9*q**5 + 9110*q**4 + 189971*q**3 + 684546*q**2 + 749332*q + 134776 = 0. Calculate q.
-991, -17, -2, -2/9
Solve 2*s**2/7 + 19234*s/7 - 1044468/7 = 0 for s.
-9671, 54
What is q in -2*q**4/7 - 137052*q**3/7 - 24216432*q**2/7 - 1427947972*q/7 - 28074898542/7 = 0?
-68349, -59
Suppose -3*v**5 - 46275*v**4 - 245550387*v**3 - 484860356865*v**2 - 195072193675350*v - 772546712373000 = 0. What is v?
-4965, -526, -4
Find v, given that 3*v**4/8 - 411*v**3/2 - 78396*v**2 - 310272*v = 0.
-256, -4, 0, 808
Find g, given that -125*g**5 - 1025*g**4 + 76005*g**3 + 327845*g**2 - 298480*g + 62100 = 0.
-27, -5, 2/5, 23
Factor r**5 - 33300*r**4 + 1330400*r**3.
r**3*(r - 33260)*(r - 40)
Factor 5*v**3 + 12376955*v**2 + 7659432188135*v - 22978407957135.
5*(v - 3)*(v + 1237697)**2
Find v, given that 838*v**3/5 + 828*v**2/5 - 3354*v + 40 = 0.
-5, 5/419, 4
Find c such that -4*c**3 - 74844*c**2 - 348788076*c + 12299438060 = 0.
-9373, 35
Factor -5*i**2 + 10195*i - 3552390.
-5*(i - 1593)*(i - 446)
Find d, given that -74*d**4/5 + 194*d**3/5 + 278*d**2/5 - 674*d/5 + 276/5 = 0.
-2, 23/37, 1, 3
Factor -2*g**3 - 866351*g**2/3 + 144392*g/3.
-g*(g + 144392)*(6*g - 1)/3
Factor 4*p**2 + 27372824*p + 46829468358436.
4*(p + 3421603)**2
Suppose 3*l**2 - 2879682*l + 8639019 = 0. Calculate l.
3, 959891
Factor -3*r**2 - 13799583*r + 124196490.
-3*(r - 9)*(r + 4599870)
Solve -s**2/8 - 313581*s/4 - 1881477/8 = 0 for s.
-627159, -3
Let 2*o**2/13 + 200670*o/13 - 7025900/13 = 0. What is o?
-100370, 35
Determine z so that -9*z**3/4 - 367*z**2 + 12085*z/4 - 2394 = 0.
-171, 8/9, 7
Factor -2*c**2 + 1408*c + 649992.
-2*(c - 1022)*(c + 318)
Solve 4*f**2/7 + 21857436*f/7 = 0 for f.
-5464359, 0
What is b in -3*b**3 - 35310197*b**2 - 23540130*b = 0?
-11770065, -2/3, 0
Factor 3*q**2/2 + 3646893*q.
3*q*(q + 2431262)/2
Find z, given that 4*z**3 + 22624*z**2 + 8515648*z - 75942663168 = 0.
-3572, 1488
Factor 28*s**2 - 512460460*s + 146417272.
4*(s - 18302159)*(7*s - 2)
Find l such that -2*l**5/7 - 102*l**4/7 + 1228*l**3 - 89988*l**2/7 - 8594*l/7 + 12870 = 0.
-99, -1, 1, 13, 35
Let -72*k**2/13 + 2649170*k/13 - 73588/13 = 0. What is k?
1/36, 36794
Suppose 410*p**5/17 + 1636*p**4/17 - 6907696*p**3/17 + 474565312*p**2/17 - 9228514048*p/17 + 89989120/17 = 0. Calculate p.
-160, 2/205, 52
Factor 4*y**2/7 + 19088*y/7 - 34170132/7.
4*(y - 1387)*(y + 6159)/7
Solve -2*x**5 + 89458*x**4 - 1000386446*x**3 + 1000207534*x**2 + 1000386448*x - 1000296992 = 0.
-1, 1, 22364
Solve 5*q**5 - 260*q**4 - 35355*q**3 + 1229570*q**2 + 2564140*q + 1299480 = 0.
-78, -1, 34, 98
Factor 3*j**4/4 - 74329*j**3 - 49553*j**2.
j**2*(j - 99106)*(3*j + 2)/4
Determine x, given that -28*x**5/11 - 1314*x**4/11 - 17518*x**3/11 - 51186*x**2/11 + 75146*x/11 - 5100/11 = 0.
-25, -17, -6, 1/14, 1
Suppose -5*l**2 + 30482720*l - 46459810929920 = 0. What is l?
3048272
Find p, given that 2*p**3/5 + 249287*p**2/5 + 373926*p/5 = 0.
-124642, -3/2, 0
Let -11*n**4/4 + 45699*n**3/2 - 1178019*n**2/4 - 26962*n = 0. What is n?
-1/11, 0, 13, 8296
Solve u**2/5 - 3570242*u/5 + 3186656984641/5 = 0.
1785121
Find z such that 27*z**4/5 + 36807*z**3/5 + 389256*z**2/5 - 222149292*z/5 - 49385328/5 = 0.
-1348, -86, -2/9, 71
Determine w so that w**4/7 + 3*w**3 - 13628*w**2/7 + 198564*w/7 - 82544 = 0.
-134, 4, 11, 98
Factor -2*o**2/9 - 72111076*o/9 - 650000910234722/9.
-2*(o + 18027769)**2/9
Factor -70*m**2/3 - 9127*m - 4301/3.
-(m + 391)*(70*m + 11)/3
Solve 4*f**5 + 16064*f**4 - 96508*f**3 + 80440*f**2 = 0.
-4022, 0, 1, 5
Find d such that -4*d**5 - 608360*d**4 + 12777336*d**3 + 1825072*d**2 - 39548692*d + 25554648 = 0.
-152111, -2, 1, 21
Factor 5*l**2 - 50158940*l + 125795963096180.
5*(l - 5015894)**2
Solve o**5 + 8343*o**4 - 183862*o**3 + 1404830*o**2 - 4098507*o + 2869195 = 0 for o.
-8365, 1, 7
Factor -o**2 - 325685*o + 2605544.
-(o - 8)*(o + 325693)
Solve 2*h**3 + 704404*h**2 - 38043990*h - 120471552 = 0 for h.
-352256, -3, 57
Determine c, given that -10*c**4 + 32965*c**3 - 3949100*c**2 - 131860*c + 15796560 = 0.
-2, 2, 249/2, 3172
Factor 140*m**2/9 - 6745192*m/9 - 128480/3.
4*(m - 48180)*(35*m + 2)/9
Factor 5*i**2 + 231055*i + 1386150.
5*(i + 6)*(i + 46205)
Let -p**3/5 + 4021068*p**2/5 - 24126273*p + 180946710 = 0. What is p?
15, 4021038
Let 2*u**3 + 14321970*u**2 + 25639516515504*u - 1205088913668064 = 0. Calculate u.
-3580516, 47
Factor 5*y**3 + 21365*y**2 - 10113605*y - 10134965.
5*(y - 431)*(y + 1)*(y + 4703)
Determine k, given that -k**2 - 8258825*k - 8258824 = 0.
-8258824, -1
Factor y**2/4 + 30731657*y/2 + 944434741965649/4.
(y + 30731657)**2/4
Factor b**2/7 - 1404225*b/7 + 2808446/7.
(b - 1404223)*(b - 2)/7
Suppose 5*m**5 - 156875*m**4 + 470580*m**3 = 0. What is m?
0, 3, 31372
What is i in -18*i**5 + 241*i**4/5 + 1849*i**3 + 9802*i**2/5 + 888*i/5 = 0?
-74/9, -1, -1/10, 0, 12
Determine z so that -z**5/5 + 259*z**4/5 - 3686*z**3 + 438196*z**2/5 - 1773208*z/5 - 5450816/5 = 0.
-2, 8, 46, 161
Determine f so that 3*f**4/5 - 981*f**3/5 + 73203*f**2/5 + 1013301*f/5 + 939114/5 = 0.
-11, -1, 153, 186
Suppose -81*b**5/5 + 3472758*b**4/5 - 1080377*b**3 + 557308*b**2/5 + 1200412*b/5 + 171488/5 = 0. What is b?
-2/9, 1, 42872
Factor -2*x**4/11 + 6417844*x**3/11 - 5148590201042*x**2/11.
-2*x**2*(x - 1604461)**2/11
Factor -2084068*s**3 + 24*s**2.
-4*s**2*(521017*s - 6)
Solve -m**2 + 2142*m + 656608 = 0 for m.
-272, 2414
Solve -5*t**5 - 9265*t**4 - 4451150*t**3 - 147500310*t**2 - 1320508845*t - 1177450425 = 0 for t.
-909, -19, -15, -1
Solve -i**5/5 - 3*i**4/5 + 396*i**3/5 + 2768*i**2/5 - 21696*i/5 - 32256 = 0.
-12, -7, 8, 20
Let l**5 + 21665*l**4/3 - 725899*l**3/3 - 965015*l**2 - 2176352*l/3 + 1073740/3 = 0. Calculate l.
-7255, -2, 1/3, 37
Suppose 2*z**3/7 - 332292*z**2 + 4652082*z/7 - 2326040/7 = 0. Calculate z.
1, 1163020
Factor -4*q**2 - 259600508*q - 259600504.
-4*(q + 1)*(q + 64900126)
Factor -s**3/2 + 2805*s**2/2 + 45081*s/2 + 155155/2.
-(s - 2821)*(s + 5)*(s + 11)/2
Factor -3*y**3 + 40947*y**2 + 37955424*y + 8517675036.
-3*(y - 14533)*(y + 442)**2
Find g such that 1273*g**4/11 + 16715*g**3/11 - 23302*g**2/11 - 110252*g/11 - 13944/11 = 0.
-14, -2, -166/1273, 3
Suppose 2*g**2/9 + 383084*g/9 - 1021600/3 = 0. Calculate g.
-191550, 8
Find x, given that x**4/2 - 99261*x**3/2 - 1489065*x**2/2 - 7445575*x/2 - 6204750 = 0.
-5, 99276
Factor 3*d**2 + 52710*d + 108495027.
3*(d + 2381)*(d + 15189)
Solve -5*j**5/4 + 14413*j**4/4 - 16546*j**3 - 7195*j**2 = 0.
-2/5, 0, 5, 2878
Let -4*k**3/3 + 72896*k**2/3 - 582292*k - 1965600 = 0. What is k?
-3, 27, 18200
Suppose 62*a**4/5 - 2942*a**3 - 116736*a**2/5 - 211936*a/5 + 12544 = 0. What is a?
-4, 8/31, 245
Find u such that -u**3/3 + 586562*u**2/3 - 586561*u/3 = 0.
0, 1, 586561
Find a, given that a**4/7 - 20018*a**3/7 - 310485*a**2 - 4286732*a/7 - 2133356/7 = 0.
-106, -1, 20126
Find z, given that -39*z**5/7 + 4140*z**4/7 + 4622