90 = 0. Calculate c.
-1, -1/2, 3458945
Factor 2*z**2 - 1832064*z + 25648504.
2*(z - 916018)*(z - 14)
Factor j**3/2 + 2553*j**2/2 + 120375*j/2 + 338175/2.
(j + 3)*(j + 45)*(j + 2505)/2
Determine i, given that i**3/11 - 13863*i**2/11 - 128948400*i/11 - 238864280000/11 = 0.
-3400, 20663
What is t in -t**4/7 - 1660*t**3/7 - 55514*t**2 - 26575004*t/7 - 247499505/7 = 0?
-1395, -127, -11
Find f, given that -4*f**3 - 8817780*f**2 - 17635544*f = 0.
-2204443, -2, 0
Suppose 5*r**4 - 640*r**3 + 18675*r**2 = 0. Calculate r.
0, 45, 83
Factor -3*s**2 + 62838276*s.
-3*s*(s - 20946092)
Determine x, given that 12*x**4 + 1526*x**3 - 15804*x**2 + 49246*x - 47676 = 0.
-137, 2, 3, 29/6
Factor 4*y**3 - 8469684*y**2 + 4483746943296*y - 291407767997840.
4*(y - 1058678)**2*(y - 65)
Let 3*d**4/8 - 11343*d**3/8 + 10738503*d**2/8 - 30369453*d/8 - 824282151/4 = 0. What is d?
-11, 14, 1889
Suppose -52434*g**5/13 - 104866*g**4/13 + 52438*g**3/13 + 104866*g**2/13 - 4*g/13 = 0. What is g?
-2, -1, 0, 1/26217, 1
Suppose 5*r**3 + 9288010*r**2 + 4313375063965*r + 17253351648020 = 0. What is r?
-928799, -4
Factor -5*f**3 + 247670*f**2 - 3103591260*f + 903008426760.
-5*(f - 24618)**2*(f - 298)
Factor -g**2/2 - 61056*g - 1709176.
-(g + 28)*(g + 122084)/2
Factor 54244*q**3 + 50229964*q**2 + 11628250556*q + 4287380.
4*(q + 463)**2*(13561*q + 5)
Suppose q**2/4 + 57931*q + 2085435/4 = 0. Calculate q.
-231715, -9
Factor -5*p**3 + 1210*p**2.
-5*p**2*(p - 242)
Let -2*l**2/25 + 1089304*l/25 - 1089302/25 = 0. Calculate l.
1, 544651
Let 4*l**4/7 - 4996*l**3/7 - 24945672*l**2/7 - 16090306304*l/7 - 16065365632/7 = 0. Calculate l.
-1084, -1, 3418
Factor -i**4/4 + 11719*i**3/2 + 11720*i**2.
-i**2*(i - 23440)*(i + 2)/4
Let 3*f**2 + 21603*f + 495282 = 0. Calculate f.
-7178, -23
Determine j so that -20*j**5 - 5437395*j**4 - 42138190*j**3 + 114181745*j**2 - 80199240*j + 13593100 = 0.
-271862, -10, 1/4, 1
Find h such that 200*h**4 + 14295*h**3 + 250850*h**2 - 134940*h + 12920 = 0.
-38, -34, 1/8, 2/5
Determine y so that 30*y**3 - 81306835*y**2 + 149062455*y - 67755650 = 0.
5/6, 1, 2710226
Solve 4*a**2/3 - 101068768*a/3 = 0.
0, 25267192
Solve -4*g**3/3 + 142496*g**2 - 2992100*g/3 - 4274600 = 0 for g.
-3, 10, 106865
Let c**4 - 1672*c**3 - 156309*c**2 - 739620*c = 0. Calculate c.
-84, -5, 0, 1761
Find f such that -3*f**3 - 89820*f**2 - 679253904*f - 103789138752 = 0.
-14892, -156
Suppose -6*w**4/7 - 22504*w**3/7 + 1167168*w**2/7 - 2090400*w - 10280608/7 = 0. Calculate w.
-3802, -2/3, 26
Let 5*b**2 + 3257358040*b + 530519070037632080 = 0. Calculate b.
-325735804
Determine q, given that -2*q**3 + 5006*q**2 - 89284*q - 437360 = 0.
-4, 22, 2485
Solve 4*b**5 + 3352*b**4 - 44088*b**3 + 139616*b**2 + 44084*b - 142968 = 0 for b.
-851, -1, 1, 6, 7
Find q, given that 2*q**3 + 22931613*q**2/2 + 189185543*q/2 + 22931580 = 0.
-5732895, -8, -1/4
Factor 2*f**2/7 - 721920*f/7.
2*f*(f - 360960)/7
Factor u**2 - 56180472*u + 789061358535696.
(u - 28090236)**2
What is g in 5*g**2 + 2760297200*g + 380962031616392000 = 0?
-276029720
Factor -3*p**3 - 74115*p**2 - 488190321*p - 369504721161.
-3*(p + 867)*(p + 11919)**2
Determine l, given that l**4/3 - 6296*l**3 + 92105254*l**2/3 - 9179939464*l + 2125936047481/3 = 0.
157, 9287
Factor -2*b**3 - 41310*b**2 - 13791414*b - 1160547674.
-2*(b + 169)**2*(b + 20317)
What is v in -4*v**4 - 66828*v**3 - 267232*v**2 + 267312*v + 1068992 = 0?
-16703, -4, -2, 2
Suppose 33*w**3/7 + 4449012*w**2 - 5257929*w + 5662386/7 = 0. Calculate w.
-943731, 2/11, 1
Factor -2*s**2/13 + 19854196*s/13 - 49273637350802/13.
-2*(s - 4963549)**2/13
Let 26*m**2 + 2044714*m - 314572 = 0. What is m?
-78643, 2/13
Factor -4*p**2 + 54748*p + 30612200.
-4*(p - 14225)*(p + 538)
Factor 4*m**5 + 9360*m**4 + 5322768*m**3 - 180044288*m**2.
4*m**2*(m - 32)*(m + 1186)**2
Factor 3*a**4 + 18486*a**3 + 92367*a**2 + 73884*a.
3*a*(a + 1)*(a + 4)*(a + 6157)
Suppose 708*t**4 + 2302*t**3 + 1900*t**2 + 256*t = 0. What is t?
-2, -64/59, -1/6, 0
Determine c, given that c**2 + 12313070*c + 37902923206225 = 0.
-6156535
Factor 3*y**3 - 15624*y**2 + 25969788*y - 13968190704.
3*(y - 2452)*(y - 1378)**2
Solve -i**2/5 - 40822*i/5 - 1341681 = 0.
-40657, -165
Factor x**4/4 + 220552*x**3 - 1323318*x**2 + 2646640*x - 1764428.
(x - 2)**3*(x + 882214)/4
Find g, given that -7*g**2/2 + 8837*g/2 + 58032 = 0.
-13, 8928/7
Solve 27*h**5 + 5055*h**4 - 2088624*h**3 + 5737836*h**2 + 9675264*h + 1843776 = 0 for h.
-388, -1, -2/9, 4, 198
What is w in -4*w**3 - 218577384*w**2 - 2986004549767716*w = 0?
-27322173, 0
Let -4*k**3 + 72432*k**2 - 117444624*k + 49988045440 = 0. Calculate k.
874, 16360
Find c such that -3*c**4/4 - 357*c**3/2 + 6057*c**2/4 + 633981*c - 15287811 = 0.
-229, -77, 34
Factor 4*a**3 + 23240864*a**2 + 33758656448336*a + 135034253939776.
4*(a + 4)*(a + 2905106)**2
Suppose -2*f**2/11 + 877088*f/11 - 2631246/11 = 0. What is f?
3, 438541
Find x, given that -16*x**4 + 9556*x**3 + 115900*x**2 - 857812*x + 207060 = 0.
-17, 1/4, 5, 609
Determine x so that -4*x**2/5 - 29150464*x/5 - 53109346963456/5 = 0.
-3643808
Factor z**3/7 + 4766417*z**2/7 + 9532830*z/7.
z*(z + 2)*(z + 4766415)/7
Factor -2*y**3/9 + 1680*y**2 - 2037838*y/3 + 635581796/9.
-2*(y - 7138)*(y - 211)**2/9
Determine f so that -f**3/2 + 7631*f**2 - 38722624*f + 65312914432 = 0.
4574, 5344
Find p, given that -83*p**3/3 - 2928513*p**2/2 + 6051313*p/2 - 582197/3 = 0.
-52927, 11/166, 2
Suppose 2500*y**5 + 4600*y**4 - 1298284*y**3 + 10737632*y**2 - 1693104*y + 67392 = 0. Calculate y.
-27, 2/25, 12, 13
What is n in n**3 + 964*n**2 - 193915*n + 192950 = 0?
-1135, 1, 170
Factor -j**2/4 + 19137*j/2 - 20550290.
-(j - 35990)*(j - 2284)/4
Suppose -h**4/6 - 194*h**3/3 + 39013*h**2/6 - 18922*h/3 - 12874 = 0. What is h?
-471, -1, 2, 82
Let -5*s**3 - 109030*s**2 - 327025*s + 436060 = 0. What is s?
-21803, -4, 1
Factor 5*t**2 - 15730*t - 750355.
5*(t - 3193)*(t + 47)
Solve -2*x**2/9 + 883588*x/9 - 8835680/9 = 0.
10, 441784
Suppose -2*d**3 + 7336*d**2 + 5863910*d - 30029424100 = 0. Calculate d.
-1922, 2795
Let -98*v**3/9 + 29784286*v**2/9 - 8509790*v/9 + 67538 = 0. Calculate v.
1/7, 303921
Factor -3*y**3 - 3410502*y**2 - 197801547*y - 2868085848.
-3*(y + 29)**2*(y + 1136776)
Find w such that 2*w**3/7 + 1356*w**2/7 + 132498*w/7 + 314712 = 0.
-564, -93, -21
Find o such that 22*o**5 + 169382*o**4 - 816468*o**3 + 1201768*o**2 - 431440*o - 123264 = 0.
-7704, -2/11, 1, 2
Factor 4*i**3 - 31892*i**2 - 1025732*i + 8741460.
4*(i - 8005)*(i - 7)*(i + 39)
Factor 36*o**5 - 5758256*o**4 + 307015067832*o**3 - 5456487831965808*o**2 + 3031287372120260*o.
4*o*(o - 53317)**3*(9*o - 5)
Find u, given that -2*u**3/9 - 6508410*u**2 - 78100912*u/3 - 234302728/9 = 0.
-29287841, -2
Let -3*s**4 + 10906086*s**3 - 9911925371487*s**2 + 59471257764924*s - 89206739415468 = 0. Calculate s.
3, 1817678
Factor v**4 - 2020*v**3 + 1022117*v**2 - 2036162*v.
v*(v - 1009)**2*(v - 2)
Determine b, given that -2*b**3 + 1026*b**2 + 33282*b - 381186 = 0.
-39, 9, 543
Factor -3*f**3 + 11487*f**2 - 14556912*f + 6096896448.
-3*(f - 1384)**2*(f - 1061)
What is d in -d**4/2 - 27608*d**3 - 760985823*d**2/2 + 16785142110*d - 138560167350 = 0?
-27630, 11, 33
Factor -r**3/9 + 53959*r**2/9 - 431620*r/9 + 215804/3.
-(r - 53951)*(r - 6)*(r - 2)/9
Suppose n**2 - 84310*n + 4297209 = 0. What is n?
51, 84259
Find l, given that 2*l**5/9 - 469502*l**4/9 = 0.
0, 234751
Factor n**2 - 1163324*n - 1163325.
(n - 1163325)*(n + 1)
Solve 2*a**3/9 + 12130*a**2/9 + 60392*a/9 - 420160/3 = 0.
-6060, -13, 8
Let 18*i**5/13 + 8224*i**4/13 - 60614*i**3/13 - 43772*i**2 - 72384*i = 0. What is i?
-464, -3, -26/9, 0, 13
Solve -2*u**4 - 97836*u**3 - 1191874002*u**2 + 112893162536*u - 111701190696 = 0 for u.
-24506, 1, 93
Let -q**4/2 + 2571*q**3/2 - 145973*q**2/2 + 550509*q/2 - 203553 = 0. What is q?
1, 3, 54, 2513
Factor 2*x**2/3 - 4720*x/3 - 337656.
2*(x - 2558)*(x + 198)/3
Suppose -y**3 + 38394*y**2 + 38415*y - 767900 = 0. What is y?
-5, 4, 38395
Solve 100*x**3 + 136751540*x**2 + 54700604*x + 5470060 = 0.
-1367515, -1/5
Suppose 5*t**4 + 135395*t**3 + 916522570*t**2 - 917470400*t - 5499948000 = 0. What is t?
-13540, -2, 3
Suppose 2*j**3/7 + 112922*j**2/7 + 14420192*j/7 - 59487648/7 = 0. What is j?
-56333, -132, 4
What is a in -10*a**5 - 20646*a**4/5 + 4780652*a**3/5 - 47395384*a**2 + 8901