4
Factor t**2/5 + 31022*t/5 - 3237104/5.
(t - 104)*(t + 31126)/5
Factor 2*m**3/9 + 139118*m**2/9 - 68527970*m/9 + 8409382450/9.
2*(m - 245)**2*(m + 70049)/9
Solve 4*i**2 - 1182928*i - 36674612 = 0.
-31, 295763
Factor -u**3 + 566206*u**2 + 566209*u - 1132414.
-(u - 566207)*(u - 1)*(u + 2)
Suppose 2*c**2 - 10906116*c + 14867920775682 = 0. What is c?
2726529
Factor c**4 - 473*c**3 - 662480*c**2 - 131266356*c.
c*(c - 1149)*(c + 338)**2
Factor 681*z**2 + 27069741*z - 357750.
3*(z + 39750)*(227*z - 3)
Factor 3*w**3 - 1110951*w**2 + 102862674360*w - 2159626259952.
3*(w - 185148)**2*(w - 21)
Suppose 2*h**5/5 - 138138*h**4/5 + 4556234*h**3/5 + 9803178*h**2/5 - 4556236*h/5 - 1933008 = 0. What is h?
-2, -1, 1, 35, 69036
Determine r, given that 72*r**3/7 - 9642*r**2 + 16195740*r/7 - 176211318/7 = 0.
137/12, 463
Find o such that -2*o**3/3 - 1585282*o**2 + 4755848*o/3 = 0.
-2377924, 0, 1
Find x, given that -25745*x**5 - 692367*x**4 - 1676468*x**3 + 2658276*x**2 - 264080*x + 384 = 0.
-24, -4, 2/1355, 2/19, 1
Solve 5*o**3 + 9740415*o**2 - 19480845*o + 9740425 = 0.
-1948085, 1
Factor -k**3 + 96644*k**2.
-k**2*(k - 96644)
Suppose 4*d**4/5 - 2640*d**3 - 212004*d**2/5 - 729808*d/5 + 955008/5 = 0. What is d?
-9, -8, 1, 3316
Solve 3*l**3 - 486099*l**2 - 972207*l - 486105 = 0 for l.
-1, 162035
Factor -2*c**2/9 - 77611216*c/9 - 752937606124832/9.
-2*(c + 19402804)**2/9
What is l in -261*l**4 + 1361568*l**3 - 38915388*l**2 + 27953280*l - 1743168 = 0?
2/29, 2/3, 28, 5188
Find r such that 2842*r**4/5 + 24262*r**3/5 + 51316*r**2/5 + 1056*r = 0.
-5, -24/7, -22/203, 0
Factor -3*x**3 - 1998345*x**2 - 332784892416*x - 998336692224.
-3*(x + 3)*(x + 333056)**2
What is h in 5*h**2 - 244086310*h + 2978906336470805 = 0?
24408631
Factor -2*p**4/3 + 694*p**3/3 - 12648*p**2.
-2*p**2*(p - 279)*(p - 68)/3
Suppose -n**4/4 + 461*n**3 + 61849*n**2/4 + 43156*n + 28155 = 0. What is n?
-30, -2, -1, 1877
Suppose -2*w**3 + 296426*w**2 - 889252*w - 1185680 = 0. What is w?
-1, 4, 148210
Factor -5*u**3 + 237770190*u**2.
-5*u**2*(u - 47554038)
Suppose -5*c**2 + 2006860*c - 6020535 = 0. Calculate c.
3, 401369
Let -c**2 + 2744*c - 878380 = 0. What is c?
370, 2374
Determine n, given that -1464*n**2 + 21794*n + 21208 = 0.
-11/12, 964/61
Solve 735*x**2 + 715*x - 20 = 0 for x.
-1, 4/147
Factor 2*y**2 - 14034*y + 9543604.
2*(y - 6254)*(y - 763)
Determine k, given that k**5/3 + 10457*k**4/3 + 26953310*k**3/3 - 2004900050*k**2/3 + 16350676875*k - 132826078125 = 0.
-5265, 23, 25
Factor -4*p**2 - 41100*p + 29937256.
-4*(p - 683)*(p + 10958)
Factor -3*f**2 + 752634*f + 32368809.
-3*(f - 250921)*(f + 43)
Let 3*z**4/2 - 1419*z**3 + 427479*z**2/2 - 8740776*z - 8955936 = 0. What is z?
-1, 88, 771
Determine k so that -1836*k**3 + 7155*k**2 - 6897*k - 138 = 0.
-1/51, 23/12, 2
What is h in -h**4 - 1610*h**3 - 290627*h**2 - 289018*h = 0?
-1403, -206, -1, 0
Determine g so that g**4 - 15186*g**3 + 75913*g**2 - 121452*g + 60724 = 0.
1, 2, 15181
Factor -4*t**2 - 99221308*t - 99221304.
-4*(t + 1)*(t + 24805326)
Factor 10*q**3 - 233134*q**2 + 1352399632*q + 74537657376.
2*(q - 11684)**2*(5*q + 273)
Find v such that -3*v**2 - 1220199*v + 10982034 = 0.
-406742, 9
Factor 2*a**2/11 - 156468232*a/11 - 312936472/11.
2*(a - 78234118)*(a + 2)/11
Determine q so that -36*q**5 + 43363252*q**4 - 120453284*q**3 + 101180700*q**2 - 14454376*q - 9636256 = 0.
-2/9, 1, 1204532
Let 4*m**5 + 412*m**4 - 66156*m**3 - 3708*m**2 + 595080*m = 0. What is m?
-190, -3, 0, 3, 87
Factor a**3/7 + 3910*a**2/7 - 504891*a/7 - 2082060/7.
(a - 129)*(a + 4)*(a + 4035)/7
Solve 4*v**2 - 90196*v - 42993888 = 0 for v.
-467, 23016
Factor -i**3/2 + 20774*i**2 + 17030216*i + 3456588448.
-(i - 42356)*(i + 404)**2/2
Factor -2*x**2 - 66842*x + 133692.
-2*(x - 2)*(x + 33423)
Solve 5*v**4 + 16010095*v**3 - 16010125*v**2 - 80050515*v - 48030300 = 0 for v.
-3202020, -1, 3
Determine c so that -2*c**5/5 + 4842484*c**4/5 + 24212464*c**3/5 + 14527492*c**2/5 - 24212462*c/5 - 19369976/5 = 0.
-4, -1, 1, 2421247
Suppose 2*i**3/5 - 201336*i**2/5 - 2820174*i - 49361620 = 0. What is i?
-35, 100738
Determine n so that -3*n**2/4 - 10723149*n - 38328641492067 = 0.
-7148766
Find o such that -3*o**2/4 + 2751472*o - 3668629/4 = 0.
1/3, 3668629
What is a in -2122107569145245*a**2 - 412029860*a - 20 = 0?
-2/20601493
Solve 4*x**2 + 26610744*x + 44258231014596 = 0.
-3326343
Factor 2*f**4 - 3664*f**3 - 326198*f**2 - 7092764*f.
2*f*(f - 1918)*(f + 43)**2
Solve o**2/3 - 113308*o + 25148900/3 = 0 for o.
74, 339850
Solve 4*y**2 - 15276464*y + 198593356 = 0 for y.
13, 3819103
Determine t so that 3*t**4/2 + 1161*t**3/2 - 519849*t**2/2 - 203214369*t/2 - 302466681 = 0.
-401, -3, 418
Suppose 5*z**2 - 257845*z - 3610810 = 0. What is z?
-14, 51583
Determine d so that 18*d**4 + 900304696*d**3 + 101318566404347144*d**2/9 - 45030475157893888*d/9 + 5003386173114368/9 = 0.
-25008464, 2/9
Solve -f**5/4 - 570*f**4 - 1230957*f**3/4 + 39630269*f**2/2 = 0.
-1169, 0, 58
Factor 3*a**3/5 + 2581404*a**2/5 - 46468917*a + 1045577970.
3*(a - 45)**2*(a + 860558)/5
Factor a**3/8 - 1708610*a**2 + 5838696264200*a.
a*(a - 6834440)**2/8
Determine l, given that 25*l**3 + 24340*l**2 + 3016095*l + 1800900 = 0.
-828, -145, -3/5
Determine r so that -r**3/3 + 8446*r**2 - 53093475*r - 5175106848 = 0.
-96, 12717
Factor 2*f**3 - 1974*f**2 - 274932*f - 8938736.
2*(f - 1114)*(f + 59)*(f + 68)
Factor -6*r**2/5 + 1111676*r/5 + 148224.
-2*(r - 185280)*(3*r + 2)/5
Find a, given that a**2/2 - 1105421*a/2 + 1105419 = 0.
2, 1105419
Suppose p**3 - 15794*p**2 + 58330265*p + 32342629928 = 0. What is p?
-488, 8141
Find r such that 2*r**3/7 - 10082*r**2/7 - 263274*r/7 - 152010 = 0.
-21, -5, 5067
Suppose -21*z**3/2 + 2902521*z**2 - 9122139*z/2 - 2487861 = 0. Calculate z.
-3/7, 2, 276429
Suppose n**2 + 1123128*n - 10108233 = 0. What is n?
-1123137, 9
Let 2*i**4 - 4056856*i**3 + 2743003968060*i**2 - 618210005176934200*i - 4327604444824480750 = 0. Calculate i.
-7, 676145
Find u such that -2*u**2/15 - 45391768*u/3 - 1287757876353640/3 = 0.
-56739710
Suppose c**4/4 + 1252821*c**3/4 + 392391993737*c**2/4 + 1177167211479*c/4 + 392388235281/2 = 0. Calculate c.
-626409, -2, -1
Solve 2*j**3/7 - 34596280*j**2/7 - 4942326*j = 0.
-1, 0, 17298141
Let -3*p**4 + 7386*p**3 + 268713*p**2 + 2673624*p + 4331532 = 0. What is p?
-17, -2, 2498
Factor 4*r**2 - 7472*r + 3486060.
4*(r - 963)*(r - 905)
Factor 4*a**4/5 + 6256*a**3/5 + 1539096*a**2/5 - 141854800*a + 10283112500.
4*(a - 125)**2*(a + 907)**2/5
Determine p, given that p**5/3 + 11651*p**4/3 - 198394*p**3/3 - 443384*p**2/3 = 0.
-11668, -2, 0, 19
Let 3*n**2/4 + 531057*n/4 = 0. Calculate n.
-177019, 0
Determine n so that 9*n**2/8 + 335*n/8 + 99/2 = 0.
-36, -11/9
Solve -4*n**2 - 9196*n - 3613552 = 0 for n.
-1796, -503
Determine u, given that 2*u**4 - 315218*u**3 - 945672*u**2 = 0.
-3, 0, 157612
Factor -2*k**2/7 - 9606*k/7 - 940600/7.
-2*(k + 100)*(k + 4703)/7
Factor 5*h**3/6 + 86435*h**2/6 + 42445355*h/6 + 1762452975/2.
5*(h + 251)**2*(h + 16785)/6
Determine o so that 1928*o**3 - 3177356*o**2 - 25522368*o + 158976 = 0.
-8, 3/482, 1656
Solve 4*n**3 - 23156*n**2 + 13203520*n - 1986963600 = 0 for n.
310, 5169
Find g, given that g**5/5 + 2088*g**4/5 + 1251476*g**3/5 + 234758544*g**2/5 + 274752000*g + 1818464256/5 = 0.
-1218, -432, -4, -2
Let -b**5/5 - 11878*b**4/5 - 36258984*b**3/5 - 1163536496*b**2 + 23706217904*b/5 - 23851443936/5 = 0. What is b?
-5854, -174, 2
Determine q, given that 12*q**5 - 621133*q**4/2 - 763569*q**3 + 1061197*q**2/2 + 77649*q = 0.
-3, -1/8, 0, 2/3, 25883
Let -2*v**5 - 1279894*v**4 - 204768001238*v**3 - 614296324370*v**2 - 614293764592*v - 204764161568 = 0. What is v?
-319972, -1
Factor -4*n**3 - 110955784*n**2.
-4*n**2*(n + 27738946)
Factor -s**3 + 367*s**2 + 66238*s + 131000.
-(s - 500)*(s + 2)*(s + 131)
What is g in 36*g**3/23 - 2210*g**2/23 - 8334*g/23 - 7540/23 = 0?
-2, -29/18, 65
Factor 5*m**4 - 425145*m**3 + 9027840195*m**2 + 407114183025*m.
5*m*(m - 42537)**2*(m + 45)
Determine g so that -3*g**4 - 3948*g**3 - 272646*g**2 - 533460*g - 264759 = 0.
-1243, -71, -1
Let 3*p**4 - 1854219*p**3 - 3708477*p**2 + 16687971*p + 33376050 = 0. Calculate p.
-3, -2, 3, 618075
Solve -3*u**4 + 7755*u**3 + 468378*u**2 - 1029696*u - 3870816 = 0 for u.
-61, -2, 4, 2644
Suppose 120*n**3 - 5392311*n**2 - 165825