Factor -n**3 + 520*n**2 + 312961*n + 3378320.
-(n - 880)*(n + 11)*(n + 349)
Factor q**3/8 + 1073*q**2/8 + 25135*q/4 + 12032.
(q + 2)*(q + 47)*(q + 1024)/8
Factor 5*p**2 + 32430*p - 8001560.
5*(p - 238)*(p + 6724)
Determine y, given that 4*y**4/5 + 32587*y**3/5 + 1159536*y**2/5 - 2733217*y/5 + 308218 = 0.
-8111, -38, 1, 5/4
Factor t**3/4 - 205*t**2/4 - 8553*t/4 + 229653/4.
(t - 237)*(t - 19)*(t + 51)/4
Suppose -2*q**4/5 + 3346*q**3/5 - 5328*q**2 = 0. Calculate q.
0, 8, 1665
Suppose 2*d**2/23 + 163658336*d/23 + 163658334/23 = 0. Calculate d.
-81829167, -1
Suppose -91374*j**2/13 - 91334*j/13 + 40/13 = 0. What is j?
-1, 20/45687
Find q, given that -q**4/9 + 1220*q**3/9 + 91*q**2/9 - 110930*q/9 - 12200 = 0.
-9, -1, 10, 1220
Factor 2*q**3/3 - 11966*q**2/3 + 5952700*q.
2*q*(q - 3133)*(q - 2850)/3
Solve -60862815*f**2 - 4057656*f - 9 = 0 for f.
-1/15, -3/1352507
What is v in -4*v**4 + 15556*v**3 - 432044*v**2 - 1498564*v + 1915056 = 0?
-4, 1, 31, 3861
Solve 5*c**3 - 325*c**2 - 245590*c - 1460760 = 0 for c.
-188, -6, 259
Determine o, given that 5*o**5/2 + 25375*o**4 - 45157735*o**3/2 + 4844749880*o**2 - 9621864670*o + 4799668280 = 0.
-10988, 1, 418
Find k, given that 5*k**2 + 2446655*k + 97858200 = 0.
-489291, -40
Solve -c**5 + 12367*c**4 - 39648759*c**3 + 8663924277*c**2 - 50914364400*c + 75837289716 = 0.
3, 229, 6066
Determine p, given that 5*p**4 - 83945*p**3 + 415560215*p**2 - 503900471655*p - 2022256223820 = 0.
-4, 1799, 7497
Factor -q**2 - 18119*q - 3955458.
-(q + 221)*(q + 17898)
Let 3*p**3 + 9039*p**2 + 5154816*p + 10273500 = 0. Calculate p.
-2250, -761, -2
Determine m, given that -2*m**4/9 - 512*m**3/9 - 6628*m**2/3 - 187648*m/9 + 208046/9 = 0.
-211, -29, -17, 1
Factor -2*w**3 + 2742*w**2 + 244112*w + 477240.
-2*(w - 1455)*(w + 2)*(w + 82)
Factor -5*a**2 - 3413925*a - 481264020.
-5*(a + 141)*(a + 682644)
Let 3*o**4/4 + 490287*o**3 - 6864216*o**2 - 33340284*o - 35301420 = 0. What is o?
-653730, -2, 18
Find z, given that 5*z**4 - 41100*z**3 + 1310755*z**2 - 5526900*z = 0.
0, 5, 27, 8188
Suppose -4*s**3 + 191228*s**2 + 176108416*s + 40163763760 = 0. Calculate s.
-454, 48715
Suppose -2*l**4/13 + 410*l**3/13 + 92934*l**2/13 + 4340790*l/13 + 37078668/13 = 0. What is l?
-69, -11, 354
Solve -r**3/3 + 95939*r**2/3 - 2296893907*r/3 - 66852196901 = 0 for r.
-87, 48013
Let -r**2/2 + 14259*r - 23115305/2 = 0. Calculate r.
835, 27683
Factor -2*f**2/17 + 19541594*f/17 - 19541592/17.
-2*(f - 9770796)*(f - 1)/17
Factor 4*m**3/3 - 21040*m**2/3 - 42128*m.
4*m*(m - 5266)*(m + 6)/3
Factor -2*p**2 + 52250*p - 46717092.
-2*(p - 25198)*(p - 927)
Factor -2*l**2/5 - 107698*l - 9692172/5.
-2*(l + 18)*(l + 269227)/5
Let 3*l**4/2 + 37179*l**3/2 - 18591*l**2 = 0. What is l?
-12394, 0, 1
Factor -z**3 + 286598*z**2 + 6878784*z + 41273568.
-(z - 286622)*(z + 12)**2
Factor -5*c**3 - 206950*c**2 - 2129987500*c + 236809375000.
-5*(c - 110)*(c + 20750)**2
Determine c so that 5028*c**5 - 2262592*c**4/5 + 10624020*c**3 - 99537496*c**2/5 + 9727872*c + 15488/5 = 0.
-2/6285, 1, 44
Determine c, given that -4*c**3 - 4226208*c**2 + 36*c + 38035872 = 0.
-1056552, -3, 3
What is w in -20*w**4/7 - 116*w**3/7 + 19080*w**2/7 - 3712*w/7 - 2176 = 0?
-34, -4/5, 1, 28
Factor -2*b**2 + 69183*b - 4109308.
-(b - 34532)*(2*b - 119)
Factor -5*g**3 - 698740*g**2 - 13973300*g - 69864000.
-5*(g + 10)**2*(g + 139728)
Factor 5*c**2 - 11453345*c - 11453350.
5*(c - 2290670)*(c + 1)
What is x in x**3/4 - 5337*x**2 + 9076241*x/4 + 4548795/2 = 0?
-1, 435, 20914
Suppose b**4 - 2570*b**3 - 489476*b**2 - 23235942*b - 65372013 = 0. What is b?
-89, -3, 2751
Factor -3*r**3/7 + 1789929*r**2/7 - 266988047049*r/7 + 266986257123/7.
-3*(r - 298321)**2*(r - 1)/7
Factor 55*o**2 - 1341*o + 266.
(5*o - 1)*(11*o - 266)
What is o in -4*o**3 + 370716*o**2 + 5932224*o + 23729920 = 0?
-8, 92695
Suppose 3*s**2/4 - 227841*s/4 + 8308203/2 = 0. What is s?
73, 75874
Factor o**2/3 + 24242773*o + 72728318/3.
(o + 1)*(o + 72728318)/3
Factor -2*m**3 - 34544614*m**2 - 149166450001766*m - 1342495251903618.
-2*(m + 9)*(m + 8636149)**2
Solve o**4/2 + 1320*o**3 + 28949*o**2/2 + 39435*o = 0 for o.
-2629, -6, -5, 0
Find t such that 5*t**2 + 72835*t + 149830760 = 0.
-12088, -2479
Solve 8*v**4/3 - 1202*v**3/3 + 58606*v**2/3 - 916846*v/3 - 240370 = 0 for v.
-3/4, 43, 65
Solve 2*s**2 - 1113112*s + 16696230 = 0 for s.
15, 556541
Determine s so that -3*s**5/2 + 2157*s**4/8 + 66537*s**3 + 3768555*s**2/8 + 758823*s + 322605/2 = 0.
-134, -5, -2, -1/4, 321
Let -d**2/4 + 279904*d - 3918607 = 0. Calculate d.
14, 1119602
Determine q so that 121*q**2/4 + 5489088*q + 249008984064 = 0.
-998016/11
Factor -q**2/7 - 8330810*q/7 - 17350598814025/7.
-(q + 4165405)**2/7
Find h, given that 8*h**4 - 28929444*h**3 - 159112136*h**2 - 173576964*h + 130182696 = 0.
-3, 1/2, 3616186
Factor 780*t**4 - 1795552*t**3 - 18416*t**2.
4*t**2*(t - 2302)*(195*t + 2)
Solve -4*y**3 - 6480*y**2 + 6199204*y + 6205680 = 0.
-2295, -1, 676
Suppose -2*b**2/3 - 67160*b + 1410654 = 0. Calculate b.
-100761, 21
Determine s so that -9*s**3 + 8381*s**2 + 91396*s - 20724 = 0.
-11, 2/9, 942
Suppose -2*v**5 - 232320*v**4 - 1393874*v**3 - 3020028*v**2 - 2787704*v - 929232 = 0. What is v?
-116154, -2, -1
Factor -3*l**3/7 + 402036*l**2/7 - 13456537740*l/7 - 862865941248/7.
-3*(l - 67038)**2*(l + 64)/7
Suppose -3*d**4 + 71844*d**3 - 646353*d**2 = 0. Calculate d.
0, 9, 23939
What is z in 2*z**2/9 - 15129958*z/9 + 25216580/3 = 0?
5, 7564974
Find z, given that 4*z**2 + 10273280*z + 6596267622400 = 0.
-1284160
Factor -4*g**4 - 91776*g**3 + 9495364*g**2.
-4*g**2*(g - 103)*(g + 23047)
Suppose 4*n**2 - 10258592*n + 430853808 = 0. Calculate n.
42, 2564606
Factor -5*c**3 - 130161280*c**2 + 260322575*c - 130161290.
-5*(c - 1)**2*(c + 26032258)
Factor 2*w**3/9 - 293470*w**2/9 - 5870000*w/9 - 29351000/9.
2*(w - 146755)*(w + 10)**2/9
Factor 1052*u**4/5 - 35376*u**3 + 9921408*u**2/5 - 186102784*u/5 + 25288704/5.
4*(u - 56)**3*(263*u - 36)/5
Suppose -c**5/2 - 4755*c**4/2 + 14291*c**3 + 38061*c**2 - 257157*c/2 - 299943/2 = 0. Calculate c.
-4761, -3, -1, 3, 7
Let -9*s**2/5 - 19354236*s + 64514124/5 = 0. What is s?
-10752354, 2/3
Factor -4*o**2 - 4159960*o.
-4*o*(o + 1039990)
What is x in 4*x**4 + 1876*x**3 - 616376*x**2 + 614496*x = 0?
-692, 0, 1, 222
Find o, given that 20*o**4/7 + 147748*o**3/7 + 11748676*o**2/7 - 7161508*o/7 - 4734936/7 = 0.
-7307, -81, -2/5, 1
What is j in 23*j**3/3 + 4123*j**2 - 37728*j = 0?
-12576/23, 0, 9
Solve -10*k**3/11 + 14*k**2/11 + 587624*k/11 + 426816 = 0.
-1188/5, -8, 247
Factor -r**3/4 - 9347521*r**2/4.
-r**2*(r + 9347521)/4
Factor -4*p**2 + 56959608*p - 202774808969604.
-4*(p - 7119951)**2
Let 2*y**2/9 - 656*y/3 + 50264 = 0. Calculate y.
366, 618
Solve -b**5/3 + 225013*b**4/3 - 1125043*b**3/3 + 225005*b**2 + 675024*b = 0.
-1, 0, 3, 225008
Factor -2*u**2/9 + 572408*u/9 + 2098910/3.
-2*(u - 286215)*(u + 11)/9
Factor 3*s**3 + 1272180*s**2 + 134907048351*s + 7820329776174.
3*(s + 58)*(s + 212001)**2
Determine c so that 9*c**4/4 - 983369*c**3/4 + 35815428033*c**2/4 - 434816540753595*c/4 + 48312064646461/2 = 0.
2/9, 36421
Solve -4*z**5 + 5196*z**4 - 102652*z**3 + 424548*z**2 + 102656*z - 429744 = 0.
-1, 1, 6, 14, 1279
Suppose 2*m**2/19 + 35015630*m/19 + 35015628/19 = 0. Calculate m.
-17507814, -1
Suppose -3*f**3 + 237906*f**2 + 475833*f - 713736 = 0. What is f?
-3, 1, 79304
Factor -5*z**2/6 + 310*z + 912070/3.
-5*(z - 818)*(z + 446)/6
Let -101*k**5/2 + 2722*k**4 - 12802*k**3 + 22579*k**2 - 34775*k/2 + 4939 = 0. Calculate k.
1, 2, 4939/101
Let 268*z**5 + 2442*z**4 - 2590*z**3 - 45864*z**2 = 0. Calculate z.
-7, -819/134, 0, 4
What is a in -5*a**4 + 2025*a**3 + 96975*a**2 - 1395225*a + 3258630 = 0?
-54, 3, 9, 447
Solve j**3/5 - 21596*j**2/5 + 86368*j/5 = 0.
0, 4, 21592
Determine r so that -r**3 - 154811*r**2 - 4643399*r + 4798211 = 0.
-154781, -31, 1
Determine y so that -3*y**5 + 19476*y**4 - 330225*y**3 = 0.
0, 17, 6475
Determine f so that f**4 - 86401*f**3 + 9753792*f**2 - 280266560*f + 270599168 = 0.
1, 56, 86288
Find d such that -2*d**2/11 + 163260*d/11 + 489798/11 = 0.
-3, 81633
Factor -9*b**2 + 12779381*b - 2839862.
-(b - 1419931)*(9*b - 2)
What is s in -9*s**4 - 316884*s**3 - 3906903*s**2 - 1267092*s = 0?
-35197, -12, -1/3, 0
Let -18*g**5 + 1793460*g**4 - 62149424*g**3 - 221512736*g**2 - 