
Let -2*b**2/5 - 619896196*b/5 - 48033911726908802/5 = 0. Calculate b.
-154974049
Factor 4*g**2 - 1066695144*g + 71114908139573796.
4*(g - 133336893)**2
Factor 2*c**2/7 + 3209484*c/7 + 1287598443282/7.
2*(c + 802371)**2/7
Factor 36*t**3 + 281768*t**2 - 2005504*t.
4*t*(t + 7834)*(9*t - 64)
Determine s so that -2*s**5/11 + 22124*s**4/11 - 6043816*s**3 + 29287343568*s**2/11 - 310825774080*s - 1962112204800 = 0.
-6, 254, 5280
Factor -3*n**3/7 - 4062*n**2/7 - 1812291*n/7 - 267000396/7.
-3*(n + 403)**2*(n + 548)/7
Factor k**3/2 + 69*k**2/2 - 31193*k + 1639380.
(k - 178)*(k - 60)*(k + 307)/2
Factor -2*v**4/13 + 293804*v**3/13 - 10789217336*v**2/13 - 64745881392*v/13.
-2*v*(v - 73454)**2*(v + 6)/13
Factor -5*d**2 - 1275705800*d - 81371264407682000.
-5*(d + 127570580)**2
Factor 2*r**2/3 + 3561362*r - 10684088/3.
2*(r - 1)*(r + 5342044)/3
Factor -4*r**4/3 - 4370444*r**3/3 - 397932204032*r**2 + 397933660848*r.
-4*r*(r - 1)*(r + 546306)**2/3
Suppose -5*u**3 + 491565*u**2 - 12044608800*u - 1829961317120 = 0. Calculate u.
-151, 49232
Factor -2*i**2 - 242196*i - 195344464.
-2*(i + 812)*(i + 120286)
Let -4*c**5 + 204*c**4 + 21736*c**3 - 553656*c**2 - 21783780*c + 22315500 = 0. What is c?
-57, -25, 1, 45, 87
Factor n**4 + 2228997*n**3 + 1656140313000*n**2 + 410167438559000000*n - 1230517221000000000.
(n - 3)*(n + 743000)**3
Factor 6*k**2 + 40727528*k - 27151688.
2*(k + 6787922)*(3*k - 2)
Factor -m**3/3 - 368*m**2 - 4377*m - 9828.
-(m + 3)*(m + 9)*(m + 1092)/3
Determine m so that -4*m**5/3 - 4336*m**4/3 + 8*m**3 + 26048*m**2/3 + 34700*m/3 + 4336 = 0.
-1084, -1, 3
Let 4*p**3 + 69470128*p**2 - 138940268*p + 69470136 = 0. Calculate p.
-17367534, 1
Suppose -10*w**2 + 22782214*w - 9112884 = 0. What is w?
2/5, 2278221
Find z such that -3*z**2 - 7807770*z - 5080106031075 = 0.
-1301295
Solve -u**3/5 - 134027*u**2/5 + 4021654*u/5 - 7507192/5 = 0.
-134057, 2, 28
Suppose -2*g**5/17 - 82*g**4 - 323804*g**3/17 - 25065404*g**2/17 + 323806*g/17 + 25066798/17 = 0. What is g?
-239, -229, -1, 1
Factor 4*k**3/5 + 13026816*k**2 + 265153153858512*k/5 + 1060611573289024/5.
4*(k + 4)*(k + 8141758)**2/5
Solve -4*z**4/5 - 256*z**3 + 1342308*z**2/5 + 497897296*z/5 - 99847664 = 0 for z.
-458, 1, 595
Determine g so that 9598*g**5 - 211144*g**4 + 642802*g**3 + 864624*g**2 + 1080*g = 0.
-1, -6/4799, 0, 5, 18
Solve 2*n**5 + 2636*n**4 + 393888*n**3 + 4107244*n**2 + 12842590*n + 9126600 = 0 for n.
-1148, -159, -5, -1
Factor 2*n**3/7 + 11982*n**2/7 - 1855920*n/7 + 70963936/7.
2*(n - 76)**2*(n + 6143)/7
Solve -4*d**5 + 624*d**4 - 5684*d**3 - 252424*d**2 + 266400*d + 512512 = 0 for d.
-16, -1, 2, 28, 143
Let 7*f**4 - 112731*f**3 - 47976036*f**2/7 - 27221620*f/7 - 3879600/7 = 0. Calculate f.
-60, -2/7, 16165
Suppose -108*k**3/13 + 344130*k**2/13 - 133816*k/13 + 12744/13 = 0. What is k?
1/6, 2/9, 3186
Solve 125*s**4/2 - 872855*s**3/6 - 168781*s**2/3 + 776*s = 0 for s.
-2/5, 0, 1/75, 2328
Factor 2*l**3 - 5043102*l**2 + 3179112244350*l - 3179107201250.
2*(l - 1260775)**2*(l - 1)
What is u in 4*u**2 + 159220*u + 7951000 = 0?
-39755, -50
Find s such that 8*s**2 - 362087700*s + 181043848 = 0.
1/2, 45260962
Factor 2*p**2/11 + 277824*p/11 - 833490/11.
2*(p - 3)*(p + 138915)/11
Factor 5*n**4 - 1447805*n**3 + 1728246555*n**2 - 688935163455*n + 91586135142180.
5*(n - 288364)*(n - 399)**3
Factor -2*w**3 - 45454*w**2 + 40872610*w - 9014118738.
-2*(w - 437)**2*(w + 23601)
Solve 5*o**2 + 672345*o - 100290410 = 0 for o.
-134618, 149
What is k in -4*k**3 + 397667568*k**2 + 795335148*k + 397667576 = 0?
-1, 99416894
What is a in a**2/6 + 667645*a/6 + 333821 = 0?
-667642, -3
Factor y**3/3 + 58400*y**2 - 350407*y/3 - 175202.
(y - 3)*(y + 1)*(y + 175202)/3
Factor 5*r**2 - 633660*r - 2534720.
5*(r - 126736)*(r + 4)
Determine y so that 15*y**3/2 + 6785*y**2/2 + 58335*y - 130300 = 0.
-1303/3, -20, 2
What is w in -9*w**3 - 375159*w**2 - 3375774*w - 3000624 = 0?
-125026/3, -8, -1
Factor -4*t**2 - 74612*t - 211535368.
-4*(t + 3487)*(t + 15166)
Determine k so that 4*k**3 + 45800*k**2 + 1142284*k - 2467800 = 0.
-11425, -27, 2
Determine g, given that 27*g**4 - 847389*g**3 + 66589494*g**2 - 51090924*g - 14651208 = 0.
-2/9, 1, 78, 31306
Find z, given that 2*z**2 - 97552048*z + 97552046 = 0.
1, 48776023
What is g in -5*g**5 - 4650*g**4 + 71065*g**3 + 179250*g**2 - 284180*g - 642600 = 0?
-945, -2, 2, 17
Suppose -q**2/4 + 3549*q/4 + 6412618 = 0. What is q?
-3592, 7141
Solve -v**3/6 + 31*v**2/6 + 4459*v - 26904 = 0 for v.
-152, 6, 177
Determine c so that 3*c**2/8 - 21903*c/8 - 1027179/2 = 0.
-183, 7484
What is p in p**2/2 - 10694*p - 3425973/2 = 0?
-159, 21547
Solve -2*f**4 - 4140*f**3 + 3803282*f**2 + 3807420*f = 0 for f.
-2759, -1, 0, 690
Solve -5*s**2 + 45020520*s - 101342361053520 = 0.
4502052
Factor 20*q**3 - 3131*q**2 + 126434*q - 302379.
(q - 77)**2*(20*q - 51)
Determine k so that -4*k**4 + 37804*k**3 - 92723252*k**2 + 15954810356*k - 164333658984 = 0.
11, 174, 4633
Suppose 482*v**2/13 + 7612*v/13 + 7130/13 = 0. What is v?
-3565/241, -1
Let 2*g**4/13 - 5826*g**3/13 - 1276368*g**2/13 - 6271016*g/13 - 7483200/13 = 0. Calculate g.
-200, -3, -2, 3118
Factor 2*r**3/7 - 510246*r**2/7 - 44913264*r/7 - 988176992/7.
2*(r - 255211)*(r + 44)**2/7
Solve -2*g**2 - 38508*g - 160167456 = 0.
-13176, -6078
Suppose r**2 + 6546*r - 349747 = 0. What is r?
-6599, 53
Suppose 3*f**5/5 + 29502*f**4/5 + 105948*f**3 - 635982*f**2 + 4652577*f/5 - 2031912/5 = 0. Calculate f.
-9816, -23, 1, 3
Let -12*t**5 + 764*t**4 - 3712*t**3 - 204016*t**2 + 960960*t = 0. Calculate t.
-15, 0, 14/3, 22, 52
Determine k, given that -2*k**4 + 1910*k**3 + 149892*k**2 + 2481696*k - 12446784 = 0.
-42, -36, 4, 1029
Let i**4 - 2521*i**3 - 81580*i**2 - 296036*i - 285936 = 0. Calculate i.
-28, -2, 2553
What is x in 4*x**2 + 1702854608*x + 181232113499177104 = 0?
-212856826
Factor -2*p**2/3 - 43138*p/15 - 9019712/5.
-2*(p + 3552)*(5*p + 3809)/15
Factor 2*q**2/9 + 1189250*q/9 - 1189256/3.
2*(q - 3)*(q + 594628)/9
Solve -15*a**4 - 159205161*a**3 + 254728293*a**2 - 31841043*a - 63682074 = 0 for a.
-10613679, -2/5, 1
Factor z**3/2 - 43576*z**2 + 948125258*z + 57044497080.
(z - 43606)**2*(z + 60)/2
Determine n so that -3*n**2 + 2392650*n + 11963325 = 0.
-5, 797555
Suppose -202*p**5 - 57361641*p**4 - 4072239980253*p**3 - 2116714794046*p**2 + 1995786737280*p + 40318912512 = 0. What is p?
-141984, -1, -2/101, 1/2
Factor -2*a**3/7 - 219972*a**2/7 + 1759904*a/7.
-2*a*(a - 8)*(a + 109994)/7
Suppose -2*z**3 - 30414*z**2 - 1456416*z - 17463168 = 0. What is z?
-15159, -24
Factor -5*o**2 + 7855*o + 305710.
-5*(o - 1609)*(o + 38)
What is t in -8937*t**5/5 + 12081*t**4/5 + 1803*t**3/5 - 4101*t**2/5 - 846*t/5 = 0?
-141/331, -2/9, 0, 1
Let -32*y**4/5 - 63216*y**3/5 - 31157394*y**2/5 + 12551588*y + 18770430 = 0. Calculate y.
-3955/4, -1, 3
Suppose r**4 - 2*r**3 - 1811*r**2 + 1812*r + 10836 = 0. Calculate r.
-42, -2, 3, 43
Factor -9*i**3 + 31000785*i**2/2 - 6673947809802*i - 2224650131067/2.
-3*(i - 861133)**2*(6*i + 1)/2
Find q, given that -5*q**4 + 801785*q**3 - 32149773700*q**2 + 546362558500*q - 1928168670000 = 0.
5, 12, 80170
Factor 4614280678803*c**2 - 982237608*c + 52272.
3*(1240199*c - 132)**2
Factor -61125*f**2 - 488874*f + 1008.
-3*(f + 8)*(20375*f - 42)
Let -3*h**3 + 12186570*h**2 - 12376040697075*h = 0. Calculate h.
0, 2031095
Suppose f**3/3 - 27103*f**2/3 + 184170520*f/3 - 2380495312 = 0. Calculate f.
39, 13532
Suppose -a**4/2 - 4409*a**3/2 + 177883*a**2/2 - 342535*a/2 + 84531 = 0. Calculate a.
-4449, 1, 38
Determine a so that -2*a**2/19 + 9150*a/19 + 3436952/19 = 0.
-349, 4924
Let -5*s**2 - 1360870*s + 1360875 = 0. What is s?
-272175, 1
Factor 2*o**2/3 + 11460190*o/3 + 45840728/3.
2*(o + 4)*(o + 5730091)/3
Factor -2*l**2 + 825724*l - 825722.
-2*(l - 412861)*(l - 1)
Factor -6*w**2 - 15866*w/5 - 1744148/5.
-2*(w + 373)*(15*w + 2338)/5
Factor j**2/8 - 807*j/4 + 28756.
(j - 1456)*(j - 158)/8
What is r in -r**3 + 14648*r**2 + 6778553*r = 0?
-449, 0, 15097
Solve 2*b**5/5 - 17844*b**4/5 + 35648*b**3 = 0 for b.
0, 10, 8912
Determine n, given that n**3/5 - 2399*n**2 - 9129848*n/5 - 1685746608/5 = 0.
-364, 12723
Find f, given that 2*f**3/3 + 38*f**2/3 - 48442*f/3 - 145866 = 0.
-161, -9, 151
Factor -3*j**2/7 + 5978142*j/7 - 2978181814347/7.
-3*(j - 996357)**2/7
What is i in 4*i**2/7 + 72504*i/7