Calculate x.
-497632, -2/103
Factor 643*f**2/4 - 13849*f/4 + 7752.
(f - 19)*(643*f - 1632)/4
Factor -f**3/2 - 158575*f**2/2 + 8884904*f - 248821216.
-(f - 56)**2*(f + 158687)/2
Let 3*t**3 - 19689*t**2 + 1095528*t - 15304464 = 0. Calculate t.
28, 6507
Suppose -2*k**3/11 + 8425226*k**2/11 - 8873066781710*k/11 + 26619124518150/11 = 0. What is k?
3, 2106305
Let -x**3 + 29100125*x**2 - 211704246003575*x - 1058521957521125 = 0. What is x?
-5, 14550065
Factor 2*w**2/5 - 5926752*w/5 + 4390798658688/5.
2*(w - 1481688)**2/5
Factor 2*x**2 + 251801812*x + 7925519065810418.
2*(x + 62950453)**2
Find f, given that -2*f**4 - 732*f**3 - 33258*f**2 - 23792*f + 390624 = 0.
-313, -52, -4, 3
Factor -h**5 + 1580*h**4 + 4749*h**3.
-h**3*(h - 1583)*(h + 3)
Determine i so that 151685*i**3 + 65*i**2 - 606740*i - 260 = 0.
-2, -13/30337, 2
Find v, given that -16332*v**2 - 7578056*v - 3712 = 0.
-464, -2/4083
Find b such that 28*b**5/9 + 25726*b**4 + 1173610*b**3/9 + 112024*b**2 + 66112*b/9 = 0.
-8264, -4, -1, -1/14, 0
Let r**4/2 + 310*r**3 + 62149*r**2/2 + 937695*r + 4573800 = 0. Calculate r.
-504, -55, -6
Factor -s**2 + 60408*s + 12060793.
-(s - 60607)*(s + 199)
Determine v, given that 2*v**4/11 - 15038*v**3/11 + 38077920*v**2/11 - 3038297600*v + 2409972736000/11 = 0.
79, 2480
Factor -4*s**4 + 24752*s**3 - 36493624*s**2 - 5562145680*s - 201987324900.
-4*(s - 3165)**2*(s + 71)**2
Suppose -695*r**3 - 36810*r**2 - 290155*r + 327660 = 0. Calculate r.
-43, -1524/139, 1
What is n in -2*n**3 + 72160*n**2 - 3530938*n - 3603100 = 0?
-1, 50, 36031
Let -b**5/4 + 17343*b**4/4 - 77186823*b**3/4 + 17118661669*b**2/4 + 81735728256*b + 374872895397 = 0. Calculate b.
-9, 253, 8554
Let 236*s**4/7 + 57108*s**3/7 - 968*s**2/7 = 0. Calculate s.
-242, 0, 1/59
Determine g, given that -5*g**5 + 23700*g**4 + 356730*g**3 - 496360*g**2 - 13868085*g + 34521300 = 0.
-11, 3, 4, 4755
Find f, given that 3*f**3 - 337152*f**2 + 674292*f = 0.
0, 2, 112382
Factor 2*u**2 - 1013978472*u + 128519042709931848.
2*(u - 253494618)**2
Let g**2 + 50734*g - 1573715 = 0. What is g?
-50765, 31
Solve 4*p**4 + 888*p**3 - 1804*p**2 - 2688*p = 0.
-224, -1, 0, 3
Solve -10*s**5/7 + 986*s**4/7 + 38480*s**3/7 - 108088*s**2/7 - 60160*s/7 + 32768 = 0 for s.
-32, -7/5, 2, 128
What is s in -791*s**5/5 + 1072*s**4 - 10563*s**3/5 + 4086*s**2/5 + 432*s = 0?
-2/7, 0, 120/113, 3
Suppose -2*k**4 + 40996*k**3 - 51454128*k**2 + 22151640124*k - 3202442805422 = 0. What is k?
437, 19187
Suppose -1179*u**5/4 + 2360355*u**4/4 - 595373133*u**3/2 + 4694459733*u**2/2 - 8179658187*u/4 - 20874189/4 = 0. Calculate u.
-1/393, 1, 7, 997
Let -h**3/4 - 203405*h**2/4 + 4*h + 813620 = 0. What is h?
-203405, -4, 4
Find r such that -2*r**2 + 418532*r - 10043616 = 0.
24, 209242
Determine i so that 3*i**4/2 - 31179*i**3/2 + 15669813*i**2/2 - 154361205*i/2 + 191978100 = 0.
5, 519, 9864
Factor -3*i**2/5 + 177828*i/5 - 924300.
-3*(i - 59250)*(i - 26)/5
Factor 3*b**3 + 101532723*b**2 + 859074435883197*b - 859074537415923.
3*(b - 1)*(b + 16922121)**2
Suppose q**2/2 - 9769778*q + 47724281084642 = 0. What is q?
9769778
Determine u so that -u**4/2 + 173671*u**3/2 - 7546739127*u**2/2 + 549999346329*u/2 - 271226390436 = 0.
1, 72, 86799
Factor 3*z**3 - 29955*z**2 + 77844600*z - 60574621500.
3*(z - 6445)*(z - 1770)**2
Factor -3*d**3 - 618*d**2 + 2511*d - 1890.
-3*(d - 3)*(d - 1)*(d + 210)
Solve 9*t**4/4 + 42119*t**3/4 - 1206*t**2 - 168476*t + 18720 = 0.
-4680, -4, 1/9, 4
Factor -4*b**4 + 401988*b**3 - 803960*b**2.
-4*b**2*(b - 100495)*(b - 2)
Solve 3773*h**5 - 785568*h**4 + 20790294*h**3 + 9006428*h**2 + 1291221*h + 61596 = 0 for h.
-1/7, 348/11, 177
Determine l so that 5*l**5 - 41905*l**4 + 8778445*l**3 + 41905*l**2 - 8778450*l = 0.
-1, 0, 1, 215, 8166
Factor 2*m**2/5 - 79437028*m/5 + 788780177184098/5.
2*(m - 19859257)**2/5
Determine h so that h**4/6 + 245*h**3/6 - 2172*h**2 + 99512*h/3 - 443840/3 = 0.
-292, 8, 19, 20
Let -3*d**2/4 - 6974967*d/2 - 16216721550363/4 = 0. What is d?
-2324989
Determine v so that 2300*v**2 + 1935988*v - 1938288 = 0.
-484572/575, 1
Factor -5*d**2 + 20624*d - 18765395.
-(d - 1355)*(5*d - 13849)
Let q**5/4 + 42*q**4 - 493*q**3 - 183*q**2/2 + 30771*q/4 + 14499/2 = 0. What is q?
-179, -3, -1, 6, 9
Solve -2*z**2/13 - 9135946*z/13 + 9135948/13 = 0 for z.
-4567974, 1
Factor l**2/4 - 195463*l/2 - 195464.
(l - 390928)*(l + 2)/4
Suppose 3*d**5 + 1632*d**4 + 10833*d**3 - 241608*d**2 - 1704060*d + 1933200 = 0. What is d?
-537, -10, 1, 12
Factor -4*x**3 - 1257808*x**2 - 98898924724*x - 2965835822520.
-4*(x + 30)*(x + 157211)**2
Determine v so that v**2 - 580*v + 6816 = 0.
12, 568
Let 2*f**4/3 - 13094*f**3/3 + 2344652*f**2 - 27978760*f/3 + 27926416/3 = 0. Calculate f.
2, 586, 5957
Factor -4*u**2 - 7511472*u + 247882932.
-4*(u - 33)*(u + 1877901)
Factor -6*n**2/5 - 948174*n/5 + 21811176/5.
-6*(n - 23)*(n + 158052)/5
Determine m, given that 5*m**3 + 111070*m**2 - 111075*m = 0.
-22215, 0, 1
Find r such that -100*r**2/3 - 21548*r - 128888/3 = 0.
-16111/25, -2
Determine j, given that -26*j**3/3 - 34657076*j**2/3 - 16884202*j - 5331852 = 0.
-1332963, -1, -6/13
Factor -2*f**3 - 216828*f**2 + 7373886*f - 62682944.
-2*(f - 17)**2*(f + 108448)
Let 3*k**2/4 + 7083873*k/2 - 7083876 = 0. Calculate k.
-4722584, 2
Solve -9*h**4 + 298236*h**3 - 99291*h**2 - 3976584*h + 4771728 = 0 for h.
-4, 4/3, 3, 33137
Factor -3*w**3 + 1077864*w**2 - 96821289303*w + 968105109630.
-3*(w - 179639)**2*(w - 10)
Solve -2*u**2/3 - 3202494*u - 105682060/3 = 0.
-4803730, -11
Determine d so that -d**2/4 - 8102*d + 308237 = 0.
-32446, 38
Find d such that -2*d**4/7 + 6984*d**3/7 - 6327686*d**2/7 + 57009600*d - 392746496/7 = 0.
1, 67, 1712
Let -m**4/8 - 28790*m**3 + 921307*m**2/8 + 1266767*m/4 - 863715 = 0. Calculate m.
-230324, -3, 2, 5
Find h such that 2*h**4/5 + 8287392*h**3/5 + 11446794452112*h**2/5 + 5270188108712782592*h/5 - 31621540738667050848/5 = 0.
-1381234, 6
Determine g so that 188*g**3 + 190808*g**2 + 2436708*g - 156312 = 0.
-1002, -13, 3/47
Factor x**2 - 3934536*x - 27541801.
(x - 3934543)*(x + 7)
Factor -31765*z**2 - 571800*z - 540.
-5*(z + 18)*(6353*z + 6)
Factor -y**2 - 123345*y - 616700.
-(y + 5)*(y + 123340)
Let -v**3/8 - 48541861*v**2/8 - 73634761450845*v - 147269510766225/2 = 0. What is v?
-24270930, -1
What is s in -4*s**4 + 616*s**3 - 3980*s**2 - 20152*s + 23520 = 0?
-4, 1, 10, 147
Find v such that -v**5 - 26*v**4 + 16103*v**3 - 16020*v**2 - 32148*v = 0.
-141, -1, 0, 2, 114
Find g, given that -2*g**5/11 - 382*g**4/11 - 15236*g**3/11 + 19680*g**2 = 0.
-120, -82, 0, 11
Find c, given that c**3/3 - 5196*c**2 - 7188993*c - 2385999630 = 0.
-651, 16890
Factor -3*l**3/7 - 7305258*l**2/7 - 73052355*l/7 - 26090100.
-3*(l + 5)**2*(l + 2435076)/7
Factor -2*h**2/3 + 4126982*h + 24761900/3.
-2*(h - 6190475)*(h + 2)/3
Factor 2*n**2/3 + 27686*n/3 - 4052396.
2*(n - 426)*(n + 14269)/3
Factor -6*b**2/11 - 1246200*b/11 + 6459354.
-6*(b - 57)*(b + 207757)/11
Determine a so that -3*a**2 - 5721609*a + 11443230 = 0.
-1907205, 2
Suppose 1356182337557161*a**2 - 220958286*a + 9 = 0. What is a?
3/36826381
Suppose a**2 - 23075318*a + 133117575200281 = 0. Calculate a.
11537659
Factor -c**2/6 - 8988553*c/6.
-c*(c + 8988553)/6
Factor 4*m**2 + 4682276*m - 51505520.
4*(m - 11)*(m + 1170580)
Factor t**2/2 - 14500499*t/2 - 7250250.
(t - 14500500)*(t + 1)/2
Determine m so that -21*m**4/4 - 350289*m**3 + 7406541*m**2/4 - 2602344*m + 600543 = 0.
-66727, 2/7, 2, 3
Suppose -3*v**5 + 20475*v**4 - 34657704*v**3 - 948762456*v**2 - 3378501936*v - 3239543376 = 0. What is v?
-23, -2, 3426
Solve 25*m**5 + 8710*m**4 - 5965420*m**3 + 21347240*m**2 + 9493920*m = 0.
-694, -2/5, 0, 4, 342
Determine n, given that n**2/3 - 9120629*n/3 - 3040210 = 0.
-1, 9120630
Factor 2125922*v**2/7 - 130664816*v/7 + 2007751712/7.
2*(1031*v - 31684)**2/7
Factor -g**2/4 - 51217223*g/2 - 2623203931831729/4.
-(g + 51217223)**2/4
Solve 3*z**4 + 49131*z**3 - 491610*z**2 = 0.
-16387, 0, 10
Factor -3*d**2 + 261438*d - 20112939.
-3*(d - 87069)*(d - 77)
Solve -2*c**4 + 2404*c**3 + 111974*c**2 + 319064*c + 209496 = 0 for c.
-42, -2, -1, 1247
Determine v so that 2*v**5/13 - 496*v**4/13 - 1952*v**3 - 93440*v**2/13 = 0.
-40, -4, 0, 292
Suppose -3*i**4 - 5976*i**3 + 54093*i**2 + 132066*i = 0. Calculate i.
-2001, -2, 0, 11
What is u in 5*u**3 + 3338285*