104*n/9 - 4555206.
-2*(n - 246969)*(n - 83)/9
Factor r**3 - 300118*r**2 - 6002660*r - 30013800.
(r - 300138)*(r + 10)**2
Factor 2*k**3/7 - 8944372*k**2/7 + 321995448*k/7 - 2897953200/7.
2*(k - 4472150)*(k - 18)**2/7
Find n such that -2*n**3/19 + 3212812*n**2/19 - 1290148022898*n/19 - 5161568832648 = 0.
-76, 803241
Suppose -6*o**4 - 116690*o**3 - 8407978*o**2 + 23367906*o + 8719200 = 0. Calculate o.
-19376, -75, -1/3, 3
Find m such that 3*m**2/7 + 19101*m/7 - 7755750/7 = 0.
-6750, 383
Solve s**2/4 - 150070*s - 300141 = 0 for s.
-2, 600282
Find c, given that 16*c**5/3 + 358972*c**4/3 + 4933562*c**3/3 + 16188404*c**2/3 - 2092818*c - 2197356 = 0.
-22422, -7, -1/2, 3/4
Suppose 3*a**3/2 + 400769*a**2/2 + 267177*a/2 - 133589/2 = 0. Calculate a.
-133589, -1, 1/3
Suppose 3*v**2 + 1563813*v - 1563816 = 0. What is v?
-521272, 1
Find z such that 2*z**2/5 + 76579336*z/5 + 733049337775112/5 = 0.
-19144834
Let 4*t**5 - 64*t**4 - 468*t**3 + 7920*t**2 = 0. What is t?
-11, 0, 12, 15
Factor -4*n**2/3 + 99944*n/3 - 27229920.
-4*(n - 24140)*(n - 846)/3
Let -46128*f**2 - 1952122824*f - 20653309920123 = 0. Calculate f.
-2623821/124
Suppose 2*d**4/15 - 10414*d**3/3 + 3945134*d**2/15 + 5485842*d/5 + 830688 = 0. What is d?
-3, -1, 80, 25959
Factor 4*t**2/7 + 200812*t + 1405680/7.
4*(t + 1)*(t + 351420)/7
Determine w, given that 2*w**2/13 - 201616*w/13 + 93048 = 0.
6, 100802
Determine m so that -2*m**5/11 - 4*m**4 + 1204*m**3 + 269096*m**2/11 + 821046*m/11 - 2823660/11 = 0.
-83, -15, -7, 2, 81
Factor 3*m**4 - 666*m**3 + 5109*m**2 + 5778*m.
3*m*(m - 214)*(m - 9)*(m + 1)
Determine u so that u**4/4 - 1515*u**3/4 + 11829*u**2 + 51869*u + 53388 = 0.
-2, 36, 1483
Determine f, given that -2*f**4/9 + 5270*f**3/9 + 1114000*f**2/9 + 6300000*f = 0.
-100, 0, 2835
Let -215*c**3/3 - 147992*c**2 + 1038765*c + 14504/3 = 0. Calculate c.
-2072, -1/215, 7
Determine c, given that c**2 + 380845*c + 87541450 = 0.
-380615, -230
Solve h**3/2 - 1064*h**2 + 1129737*h/2 - 563805 = 0 for h.
1, 1005, 1122
Factor f**3 + 1725*f**2 + 402872*f - 812652.
(f - 2)*(f + 281)*(f + 1446)
Factor 2*m**2/5 - 14269204*m/5 + 25451272849202/5.
2*(m - 3567301)**2/5
Factor 3*b**3/8 + 3729*b**2/2 - 14925*b/2 + 7464.
3*(b - 2)**2*(b + 4976)/8
Solve -32*j**5/9 + 16025840*j**4/9 - 2006316969506*j**3/9 - 12374067912448*j**2/3 - 2020546270586*j - 250826682276 = 0.
-18, -1/4, 250413
Factor j**4 - 26796*j**3 + 348221*j**2 - 1124886*j.
j*(j - 26783)*(j - 7)*(j - 6)
Suppose -j**3/9 + 1336*j**2/9 - 283532*j/9 + 561728/9 = 0. What is j?
2, 262, 1072
Let -8*f**3/3 - 25750204*f**2/3 - 20721050751440*f/3 - 10360506063076 = 0. What is f?
-1609387, -3/2
Let 2*y**3 + 2086*y**2 + 250544*y + 3482880 = 0. What is y?
-907, -120, -16
Factor -y**3/5 - 31274*y**2.
-y**2*(y + 156370)/5
Let -j**3/5 - 46569*j**2/5 + 152903601*j/5 - 24280668891 = 0. What is j?
-49695, 1563
Factor 16*k**3 + 22914*k**2 + 25730*k - 40068.
2*(k + 2)*(k + 1431)*(8*k - 7)
Factor -3*w**3 - 8823672*w**2 - 35294640*w.
-3*w*(w + 4)*(w + 2941220)
Factor 1194*a**2/7 + 439388*a/7 - 1472/7.
2*(a + 368)*(597*a - 2)/7
Factor 3*m**2 + 91668*m + 6858225.
3*(m + 75)*(m + 30481)
Suppose t**2 - 67593*t + 405522 = 0. Calculate t.
6, 67587
Let -t**4/4 - 4150*t**3 - 16599*t**2/4 = 0. What is t?
-16599, -1, 0
Determine w so that w**5/6 - 26603*w**4/6 + 59016521*w**3/2 - 1591504633*w**2/6 + 707240836*w/3 = 0.
0, 1, 8, 13297
Solve -t**2 + 186281*t + 186282 = 0 for t.
-1, 186282
Factor 5*n**2 + 361294380*n + 6526681450979220.
5*(n + 36129438)**2
Factor 3*j**2 - 388446*j + 28728576.
3*(j - 129408)*(j - 74)
Factor -y**2/3 + 1726313*y/3 - 16687412.
-(y - 1726284)*(y - 29)/3
Factor -3*i**2/4 + 455907*i/4 - 35296755/2.
-3*(i - 151814)*(i - 155)/4
Solve 28*a**3 - 1313908*a**2 - 4880648*a + 1501728 = 0 for a.
-4, 2/7, 46929
Suppose n**2/8 + 37177*n/2 - 743565/8 = 0. What is n?
-148713, 5
Factor 3*g**2/4 - 6915*g/4 - 205581/2.
3*(g - 2363)*(g + 58)/4
Let -2*h**2/9 + 2843854*h/9 - 2843852/9 = 0. What is h?
1, 1421926
Determine s so that 3*s**4/7 - 1863*s**3/7 + 145359*s**2/7 + 5040975*s/7 + 4893750/7 = 0.
-25, -1, 125, 522
Suppose -4*t**4 + 82540*t**2 + 411240*t - 1976256 = 0. Calculate t.
-141, -8, 3, 146
Let -4*p**3 + 180*p**2 + 21424*p + 121200 = 0. Calculate p.
-50, -6, 101
Find c, given that 4*c**3 - 372712*c**2 + 1118084*c + 1490800 = 0.
-1, 4, 93175
Solve -z**3/2 + 2132710*z**2 - 25592466*z + 76777344 = 0 for z.
6, 4265408
Let -9583*j**4/2 + 446691417*j**3 + 179367589*j**2/2 - 35658864*j - 7551306 = 0. What is j?
-9/37, 2/7, 93226
Factor -3*k**3/5 + 3168321*k**2/5 + 31684335*k + 396058875.
-3*(k - 1056157)*(k + 25)**2/5
Let x**2/4 + 101289*x/4 - 4744003 = 0. Calculate x.
-101476, 187
Determine i so that 2*i**2/19 + 29162*i - 9974052/19 = 0.
-277057, 18
Suppose -78*f**5 + 5978777*f**4 - 114578718797*f**3 + 342189707292*f**2 + 462649320848*f + 5874915904 = 0. Calculate f.
-1, -1/78, 4, 38324
Solve -2*p**4/3 - 114218844*p**3 - 14676688050596426*p**2/3 - 19568916030169128*p - 58706746719881288/3 = 0 for p.
-85664131, -2
Find l such that 3*l**3/2 - 3840717*l**2/2 - 7681443*l/2 - 3840723/2 = 0.
-1, 1280241
Factor c**3/5 + 57*c**2 + 13382*c/5 + 49032/5.
(c + 4)*(c + 54)*(c + 227)/5
Determine s, given that -1421*s**5/6 - 3283*s**4/3 - 491*s**3/2 + 2496*s**2 - 666*s = 0.
-3, 0, 2/7, 222/203
Factor -2*q**4 + 5702*q**3 - 5714874*q**2 + 2262560850*q - 251815877676.
-2*(q - 891)**3*(q - 178)
Let -6*y**4 + 896*y**3 + 43944*y**2 - 61344*y - 60160 = 0. Calculate y.
-40, -2/3, 2, 188
Let 1751*m**5/5 + 185604*m**4/5 + 4314252*m**3/5 - 32951744*m**2/5 + 37632*m/5 = 0. Calculate m.
-56, 0, 2/1751, 6
What is z in -2*z**4/5 + 8184*z**3 + 14101724*z**2/5 - 8184*z - 14101722/5 = 0?
-339, -1, 1, 20799
Factor 3*q**3 + 29412*q**2 - 796161*q + 1474650.
3*(q - 25)*(q - 2)*(q + 9831)
Factor -i**2/2 - 834947*i/2 + 2087380.
-(i - 5)*(i + 834952)/2
Let 2*l**3 + 60880*l**2/9 + 486158*l/9 + 303680/3 = 0. What is l?
-30368/9, -5, -3
Determine y, given that -2*y**3/3 - 34820*y**2/3 - 17630026*y/3 + 17664848/3 = 0.
-16888, -523, 1
Let -6*v**3/5 - 13731*v**2/5 + 170574*v + 429867/5 = 0. Calculate v.
-2349, -1/2, 61
Solve -2*x**4/7 - 2570282*x**3/7 - 7710828*x**2/7 + 8*x/7 + 10281104/7 = 0 for x.
-1285138, -2, 1
Solve 190*d**5/9 + 177079*d**4/9 + 175768*d**3/9 - 178010*d**2/9 - 175958*d/9 + 931/9 = 0.
-931, -1, 1/190, 1
Factor -2*c**2/7 + 1108724*c/7 - 9978354/7.
-2*(c - 554353)*(c - 9)/7
Factor 2*m**4/7 - 3231222*m**3/7 + 1740135833424*m**2/7 - 44625534854555520*m + 937120570810407936/7.
2*(m - 538536)**3*(m - 3)/7
Solve s**4/6 + 18619*s**3/3 - 540274*s**2/3 + 1211215*s + 2795025/2 = 0 for s.
-37267, -1, 15
Determine y, given that 699*y**3 - 16044*y**2 - 55281*y - 2574 = 0.
-3, -11/233, 26
Determine m so that -m**5 + 126*m**4 + 62676*m**3 + 4955742*m**2 + 52258365*m - 3883770828 = 0.
-81, 21, 348
Suppose -3*y**4/7 + 972*y**3/7 - 65745*y**2/7 - 72588*y/7 + 57204 = 0. Calculate y.
-3, 2, 98, 227
Suppose -98*o**3/3 - 105322*o**2 + 45144*o = 0. What is o?
-22572/7, 0, 3/7
Factor -2*i**2/9 + 725854*i/9 - 2903384/9.
-2*(i - 362923)*(i - 4)/9
Solve p**5/9 + 28471*p**4/9 - 33714107*p**3/9 + 13048443485*p**2/9 - 1664309727850*p/9 - 3381083398000/9 = 0.
-29624, -2, 385
Let -2*l**5/3 + 4458*l**4 - 676658*l**3/3 - 473402*l**2 + 676660*l/3 + 468944 = 0. What is l?
-2, -1, 1, 53, 6636
Let -8825*b**5/4 + 536863*b**4/4 + 326987*b**3/2 - 250061*b**2 - 45194*b - 248 = 0. What is b?
-2, -4/25, -2/353, 1, 62
Solve -4*l**2 + 1260*l - 52136 = 0 for l.
49, 266
Solve 4*a**4 + 3708*a**3 - 22456*a**2 - 59712*a = 0 for a.
-933, -2, 0, 8
Suppose -h**5/4 - 641*h**4/4 + 28283*h**3/4 + 219633*h**2/4 + 242667*h/2 + 73656 = 0. Calculate h.
-682, -3, -1, 48
Factor y**2/2 + 83741*y/2 - 2472100.
(y - 59)*(y + 83800)/2
Determine v so that -3*v**3 - 243465*v**2 - 1704108*v = 0.
-81148, -7, 0
Let 3*k**2 - 7398*k + 88344 = 0. Calculate k.
12, 2454
Factor 2*j**4/3 - 13546*j**3/3 + 8525762*j**2 - 2889205914*j.
2*j*(j - 3171)**2*(j - 431)/3
Suppose 5*w**5 + 524289*w**4 + 13742846703*w**3 - 57729204981*w**2 = 0. Calculate w.
-52431, 0, 21/5
Factor 3*q**4/5 - 168*q**3/5 + 396*q**2 + 2160*q.
3*q*(q - 30)**2*(q + 4)/5
Determine l, given that -72*l**5 + 483504*l**4 + 1773982*l**3 - 1114606*l**2 - 5026390*l + 3883582 = 0.
-17/6, 1, 6719
Factor -j**3 + 7387*j**2 + 334864*j