
Find q such that -145563*q**2/2 - 18195381*q/2 - 375 = 0.
-125, -2/48521
Solve -4*t**2 - 213998184*t - 2862201422206116 = 0 for t.
-26749773
Suppose 4*g**2 - 1097876*g + 21955920 = 0. What is g?
20, 274449
Factor -169*b**2/3 - 303936048*b - 409957638789312.
-(13*b + 35069544)**2/3
Let -u**4/3 - 1978*u**3/3 - 446245*u**2/3 - 587092*u - 584460 = 0. Calculate u.
-1719, -255, -2
Suppose a**4 + 18365*a**3 + 88102059*a**2 + 34341466883*a - 34429587308 = 0. What is a?
-8969, -428, 1
Determine v so that 27*v**5/5 + 50172*v**4/5 + 26987523*v**3/5 + 3267823494*v**2/5 - 512800896*v - 730856736/5 = 0.
-844, -171, -2/9, 1
Find o such that -2*o**2/9 + 141239212*o/9 - 2493564375797618/9 = 0.
35309803
Solve -5*a**5 - 63840*a**4 - 195162005*a**3 + 55535754510*a**2 - 219799030700*a + 219017361000 = 0.
-6515, 2, 258
Factor 107*s**2/6 - 449720*s/3 - 2802.
(s - 8406)*(107*s + 2)/6
Suppose 8*o**4 + 105012*o**3 + 7673652*o**2 - 19735528*o + 7936224 = 0. What is o?
-13053, -76, 1/2, 2
Factor -2*j**3 - 782284*j**2 - 76509329176*j - 2600412950288.
-2*(j + 34)*(j + 195554)**2
Factor 5*x**4 + 2198460*x**3 + 241672310630*x**2 + 2416558224300*x + 6041258160125.
5*(x + 5)**2*(x + 219841)**2
Factor -w**2/8 - 3843717*w/4 - 14774160376089/8.
-(w + 3843717)**2/8
Find q such that 5*q**2/3 + 6997585*q/3 - 65312100 = 0.
-1399545, 28
Solve 3*q**2 - 29562702*q + 72829445795067 = 0.
4927117
Suppose 3*n**2 - 12345*n - 891618 = 0. What is n?
-71, 4186
Solve -3*n**4 - 61344*n**3 + 63*n**2 + 1288284*n + 1226880 = 0 for n.
-20448, -4, -1, 5
Let s**4/8 - 146817*s**3/4 + 21560809413*s**2/8 - 204718839077*s/2 - 210109114839/2 = 0. Calculate s.
-1, 39, 146798
Solve -819*c**4 - 51747*c**3/2 + 19524*c**2 + 124383*c/2 + 17613 = 0 for c.
-5871/182, -1, -1/3, 2
Factor u**3 - 5843831*u**2 - u + 5843831.
(u - 5843831)*(u - 1)*(u + 1)
Determine s, given that -24*s**5 - 1276*s**4 - 10268*s**3 - 26324*s**2 - 19948*s - 2640 = 0.
-44, -5, -3, -1, -1/6
Let -80*d**5 - 170440*d**4 - 2793125*d**3 - 5568430*d**2 + 48808900*d - 51793000 = 0. What is d?
-2114, -10, 7/4
Suppose -2*n**5/13 + 2842*n**4/13 - 818890*n**3/13 - 1646314*n**2/13 - 824580*n/13 = 0. Calculate n.
-1, 0, 405, 1018
Solve -10*q**3 + 599924*q**2 - 9836128*q + 3838464 = 0 for q.
2/5, 16, 59976
Factor -k**2 - 12777496*k - 40816101007504.
-(k + 6388748)**2
Solve 3*r**2/7 - 64699188*r/7 + 348832077321612/7 = 0 for r.
10783198
Factor 3*f**2 - 449319*f + 64639728.
3*(f - 149629)*(f - 144)
Let -k**2/5 + 13567*k/5 + 1146114 = 0. Calculate k.
-410, 13977
Factor 3*l**2/5 - 454683*l/5 - 909378/5.
3*(l - 151563)*(l + 2)/5
Factor z**2/6 - 2335*z/3 + 725304.
(z - 3384)*(z - 1286)/6
Factor 3*j**2/2 - 133773*j + 91852620.
3*(j - 88490)*(j - 692)/2
Determine m, given that -2*m**2/21 + 38867348*m/21 - 77734688/21 = 0.
2, 19433672
Suppose -p**4 - 14572*p**3 + 3314304*p**2 = 0. Calculate p.
-14796, 0, 224
Let 6*q**5 - 2427*q**4 + 257949*q**3 - 10623930*q**2 + 150555516*q + 77966136 = 0. Calculate q.
-1/2, 46, 267
Factor 3*b**2/4 - 15513*b/2 - 3417477/4.
3*(b - 10451)*(b + 109)/4
Solve -2*p**3 + 14276*p**2 - 977590*p + 14618692 = 0.
22, 47, 7069
Find f such that 6*f**5/7 - 11*f**4 + 174*f**3/7 + 72*f**2 - 2052*f/7 + 243 = 0.
-3, 3/2, 7/3, 3, 9
Let 2*x**4/21 - 173882*x**3/21 - 1043486*x**2/7 - 5739262*x/21 - 2782688/21 = 0. What is x?
-16, -1, 86959
Factor 2*n**2/11 - 3092*n - 2390640/11.
2*(n - 17076)*(n + 70)/11
Factor -4*n**2 + 8160*n + 409444.
-4*(n - 2089)*(n + 49)
Solve m**5/4 + 4284*m**4 + 188389*m**3/4 + 119853*m**2/2 - 188393*m - 308250 = 0.
-17125, -9, -2, 2
Suppose n**2 + 334979*n - 3014892 = 0. Calculate n.
-334988, 9
Let 4*t**3/5 - 277040*t**2 + 119912607632*t/5 + 1918956349696/5 = 0. Calculate t.
-16, 173158
Let 5*n**5 + 150*n**4 - 205*n**3 - 30750*n**2 - 133000*n = 0. Calculate n.
-20, -19, -5, 0, 14
Factor d**3/2 - 39068*d**2 + 625031*d/2 - 273448.
(d - 78128)*(d - 7)*(d - 1)/2
Factor 363*r**2 - 7003788*r + 33783089772.
3*(11*r - 106118)**2
Solve 36*d**3 + 4394476*d**2 + 7812272*d - 1953072 = 0 for d.
-122067, -2, 2/9
Factor -54*f**4 + 3418528*f**3 - 72137946672*f**2 + 507421879246080*f - 37586410052832.
-2*(f - 21102)**3*(27*f - 2)
Factor 3*c**3 + 7924575*c**2 + 5233236781929*c - 5233244706507.
3*(c - 1)*(c + 1320763)**2
Determine i so that i**5/4 - 59821*i**4/4 + 221497092*i**3 + 64861057818*i**2 - 802241460036*i + 2430626686956 = 0.
-299, 6, 30054
Let 4*i**3/7 - 1752*i**2/7 + 36432*i - 12340512/7 = 0. Calculate i.
138, 162
Suppose 2*u**5/3 + 23085778*u**4/3 + 230857652*u**3/3 + 277029132*u**2 + 415543662*u + 207771822 = 0. What is u?
-11542879, -3, -1
Solve h**4/4 - 41771*h**3/4 + 128281878*h**2 - 629920044432*h + 1092684136256640 = 0 for h.
5592, 24995
Factor 2*r**3/9 + 18330502*r**2/3.
2*r**2*(r + 27495753)/9
Factor v**3/5 + 307*v**2/5 - 105117*v/5 + 6517809/5.
(v - 111)**2*(v + 529)/5
What is b in -30*b**2 - 1079037*b + 107904 = 0?
-35968, 1/10
Factor 30*x**3 + 14125*x**2 - 73655*x + 59500.
5*(x - 1)*(x + 476)*(6*x - 25)
Find g, given that 2*g**4 + 7654*g**3/7 - 5848*g**2 - 48576*g/7 = 0.
-552, -1, 0, 44/7
Find v such that 14*v**4/15 - 11156*v**3/15 + 550454*v**2/15 + 26288*v/5 = 0.
-1/7, 0, 53, 744
Factor f**5/4 + 850*f**4 + 1532291*f**3/2 + 74197350*f**2 + 7619718681*f/4.
f*(f + 53)**2*(f + 1647)**2/4
Suppose -2*a**4 - 1136*a**3 + 9198*a**2 - 10404*a - 20736 = 0. Calculate a.
-576, -1, 3, 6
Factor 4*i**2 + 12663952*i + 10023480016144.
4*(i + 1582994)**2
Suppose 2*g**4/7 + 111474*g**3/7 + 780138*g**2/7 - 4569794*g/7 + 3678180/7 = 0. Calculate g.
-55730, -11, 1, 3
Determine w, given that 120*w**5 + 29350*w**4 - 351565*w**3 - 216265*w**2 + 14140*w + 15360 = 0.
-256, -1/2, -1/3, 1/4, 12
Solve v**2 + 41274173*v + 41274172 = 0.
-41274172, -1
Solve 2*b**5 + 4888*b**4 - 19668*b**3 - 205192*b**2 + 1076770*b - 856800 = 0 for b.
-2448, -7, 1, 5
Solve 4*t**4 - 11425192*t**3 - 22850400*t**2 = 0.
-2, 0, 2856300
Let 2*g**2 - 35666*g + 5795432 = 0. Calculate g.
164, 17669
Factor 2*u**3/5 - 1344054*u**2/5 + 1612854*u - 12096378/5.
2*(u - 672021)*(u - 3)**2/5
Factor 4*c**2/3 + 239440*c/3 + 1915264/3.
4*(c + 8)*(c + 59852)/3
Factor -5*t**2/4 - 2175181*t/4 + 435037.
-(t + 435037)*(5*t - 4)/4
Factor n**3/8 + 909155*n**2/2 + 3306240346213*n/8 - 9918786497907/4.
(n - 6)*(n + 1818313)**2/8
Suppose -5*q**5 - 13040*q**4 + 262215*q**3 - 1537030*q**2 + 923720*q + 10301760 = 0. What is q?
-2628, -2, 7, 8
Determine j so that -3*j**3 - 4805*j**2 + 173487*j - 57295 = 0.
-1637, 1/3, 35
Suppose -4*m**5 + 8088*m**4 + 1380916*m**3 + 54514664*m**2 - 173331600*m + 117427936 = 0. Calculate m.
-82, 1, 2, 2183
Find y such that 36*y**5 - 49788*y**4 + 8346864*y**3 + 101758144*y**2/3 + 136387328*y/3 + 60774400/3 = 0.
-4/3, 200, 1187
Factor -2928*k**2 - 171644*k + 174572.
-4*(k - 1)*(732*k + 43643)
Factor -z**3 - 5241*z**2 + 10489*z + 15729.
-(z - 3)*(z + 1)*(z + 5243)
Factor 2*f**3 + 1151420*f**2 + 2302834*f + 1151416.
2*(f + 1)**2*(f + 575708)
Find g such that g**4/5 + 13763*g**3 + 1444773*g**2/5 + 1362097*g - 8324074/5 = 0.
-68794, -11, 1
Solve 2985*w**3 - 5847625*w**2 - 82432080*w + 276220 = 0.
-14, 2/597, 1973
Determine a, given that 6*a**3 - 24035*a**2 - 4006*a = 0.
-1/6, 0, 4006
Find p such that 2*p**4 + 1834752*p**3 + 420778354032*p**2 - 5049538403328*p + 15148813365792 = 0.
-458694, 6
Factor -10*j**3 + 572384*j**2 + 1144808*j.
-2*j*(j + 2)*(5*j - 286202)
Determine h, given that 3*h**3/4 - 2700*h**2 + 2654775*h - 394753500 = 0.
180, 1710
Determine v, given that -5*v**2 + 86793970*v - 376659661418045 = 0.
8679397
Find k such that -5*k**5/3 - 7474*k**4/3 + 54035*k**3/3 - 55568*k**2/3 + 3004*k = 0.
-1502, 0, 1/5, 1, 6
Factor 2*q**5 - 148*q**4 - 624*q**3.
2*q**3*(q - 78)*(q + 4)
Let 28*r**5 + 8342*r**4 - 103424*r**3 + 418096*r**2 - 700480*r + 421600 = 0. Calculate r.
-310, 2, 85/14
Factor m**3 + 8361*m**2 + 13945839*m - 15443707705.
(m - 745)*(m + 4553)**2
Suppose 4*o**5/7 - 4100*o**4/7 + 118732*o**3/7 + 663556*o**2/7 + 1097920*o/7 + 79600 = 0. Calculate o.
-2, -1, 35, 995
Solve 3*o**4/5 + 390900*o**3 + 5863473*o**2/5 - 12*o/5 - 7817964/5 = 0 for o.
-651497, -2, 1
Factor -3*z**4/4 - 74997*z**3/2 - 749895*z**2/4.
-3*z**2*(z + 5)*(z + 49993)/4
What is k in 4*k**3 + 558672*k**2 + 19507150224*k = 0?
-69834, 0
Suppose -2*i**2/5 + 311034*i = 0. Calculate i.
0, 777585
Factor 5*w**2 