*x**4 + 212828*x**3 + 943626128*x**2 - 314849472*x - 1258262784 = 0. What is x?
-8868, -1, 4/3
Factor -151*z**2/3 - 3472*z/3 + 23/3.
-(z + 23)*(151*z - 1)/3
Factor -187965*b**2 - 1315745*b + 70.
-5*(b + 7)*(37593*b - 2)
Factor -l**4 + 572908*l**3.
-l**3*(l - 572908)
Find n such that -4*n**4 - 224*n**3 - 200*n**2 + 1088*n - 660 = 0.
-55, -3, 1
Solve -32*n**3/7 + 2608*n**2/7 - 910*n + 3950/7 = 0.
5/4, 79
Factor h**2/2 + 86196*h + 3714875208.
(h + 86196)**2/2
Find v such that 5*v**4 + 280*v**3 - 5685*v**2 - 19080*v + 460080 = 0.
-71, -9, 12
Let -2*r**4 + 350*r**3 + 1792*r**2 + 1440*r = 0. Calculate r.
-4, -1, 0, 180
Find t, given that -3*t**4/7 + 5823*t**3 + 40776*t**2/7 - 23292*t - 163056/7 = 0.
-2, -1, 2, 13588
Solve 8*i**4/11 + 4602*i**3/11 - 142860*i**2/11 + 1444600*i/11 - 4842000/11 = 0.
-2421/4, 10
Factor -2*i**3/9 + 340*i**2/3.
-2*i**2*(i - 510)/9
Determine j so that 5*j**4 - 1270*j**3 + 6240*j**2 - 3690*j - 11205 = 0.
-1, 3, 249
Let -4*d**2 - 2324*d - 4632 = 0. What is d?
-579, -2
Factor w**2/3 + 13678*w/3 - 13679/3.
(w - 1)*(w + 13679)/3
Factor -2*h**3 - 936*h**2 + 7584*h + 32752768.
-2*(h - 164)*(h + 316)**2
What is o in -4*o**2 + 22820*o + 45656 = 0?
-2, 5707
Suppose d**5 - 3395*d**4 - 6795*d**3 + 3395*d**2 + 6794*d = 0. What is d?
-2, -1, 0, 1, 3397
Find g, given that g**2 - 196870*g + 9689449225 = 0.
98435
Determine k, given that -4*k**2/5 + 36204*k/5 - 7240 = 0.
1, 9050
Factor 2*p**3/5 + 39382*p**2/5 + 38816832*p + 426032640.
2*(p + 11)*(p + 9840)**2/5
Factor -3*i**2/5 - 98607*i/5 + 19722.
-3*(i - 1)*(i + 32870)/5
Factor 1051*v**3/4 - 1576*v**2 + 5243*v/4 + 5/2.
(v - 5)*(v - 1)*(1051*v + 2)/4
Suppose 13*g**4 - 47*g**3 + 11*g**2 + 47*g - 24 = 0. What is g?
-1, 8/13, 1, 3
Find q, given that 4*q**3/7 - 62592*q**2/7 + 244922484*q/7 - 489594632/7 = 0.
2, 7823
Factor 2*s**3/5 + 16*s**2 + 822*s/5 + 360.
2*(s + 3)*(s + 12)*(s + 25)/5
Find y, given that -y**3/3 - 1219*y**2 + 1220*y + 7316/3 = 0.
-3658, -1, 2
Factor r**4 - 288*r**3 + 27216*r**2 - 846720*r.
r*(r - 120)*(r - 84)**2
Factor 2*d**3 + 1676*d**2 + 3344*d.
2*d*(d + 2)*(d + 836)
Let -16*j**4 - 8476*j**3 + 19128*j**2 - 12764*j + 2128 = 0. What is j?
-532, 1/4, 1
Let -2*m**4/7 - 2276*m**3 + 79696*m**2/7 - 111588*m/7 + 47826/7 = 0. What is m?
-7971, 1, 3
Factor -2*x**2/9 - 2444*x/3 - 36610/9.
-2*(x + 5)*(x + 3661)/9
Factor 3*r**3 + 37422*r**2 + 116550675*r - 934801944.
3*(r - 8)*(r + 6241)**2
Factor -2*x**3 - 868*x**2 - 40816*x + 85120.
-2*(x - 2)*(x + 56)*(x + 380)
Determine h so that 2*h**2 + 1024344*h + 131160078792 = 0.
-256086
Find n such that -58*n**3/23 + 14778*n**2/23 - 947166*n/23 + 32258 = 0.
23/29, 127
Factor -4*y**2 + 751600*y - 35306410000.
-4*(y - 93950)**2
Let -9*i**5 - 1356*i**4 + 11910*i**3 - 2460*i**2 - 11901*i + 3816 = 0. What is i?
-159, -1, 1/3, 1, 8
Factor -4*r**3 - 64*r**2 + 1740*r + 1800.
-4*(r - 15)*(r + 1)*(r + 30)
Factor -z**4/6 - 7*z**3 - 248*z**2/3 - 368*z - 1664/3.
-(z + 4)**2*(z + 8)*(z + 26)/6
Determine c, given that c**2/6 - 194*c/3 = 0.
0, 388
Let 2*d**3/9 - 128*d**2/9 - 2560*d/9 = 0. Calculate d.
-16, 0, 80
Suppose 2*r**5 + 9314*r**4 + 10717382*r**3 - 294361634*r**2 + 2137552768*r - 1853917832 = 0. Calculate r.
-2342, 1, 13
Factor 5*o**2/6 + 3229*o/6 - 10106/3.
(o + 652)*(5*o - 31)/6
Determine u, given that 3*u**3/2 + 189*u**2 - 765*u/2 + 192 = 0.
-128, 1
Solve -2*v**5 + 50*v**4 + 88*v**3 - 904*v**2 - 896*v + 1664 = 0 for v.
-4, -2, 1, 4, 26
Factor -y**2/5 - 267*y + 2674/5.
-(y - 2)*(y + 1337)/5
Suppose v**4/2 + 32545*v**3/2 - 65093*v**2/2 + 32547*v/2 = 0. Calculate v.
-32547, 0, 1
Factor -2*c**3 - 6782*c**2 - 4627104*c + 1988276904.
-2*(c - 293)*(c + 1842)**2
Let -12*m**5 - 69*m**4/2 + 2931*m**3/4 + 657*m**2 + 567*m/4 = 0. What is m?
-9, -1/2, -3/8, 0, 7
Factor 245*j**3 - 19425*j**2 + 5535*j - 395.
5*(j - 79)*(7*j - 1)**2
Factor -275684*x**5 + 9070676*x**4 - 102322224*x**3 + 425054656*x**2 - 331527424*x.
-4*x*(x - 1)*(41*x - 436)**3
Factor 140*b**2/3 + 6796*b/3 + 6656/3.
4*(b + 1)*(35*b + 1664)/3
Factor 5*k**2 - 7170*k + 709945.
5*(k - 1327)*(k - 107)
Find u, given that 2*u**5/5 + 434*u**4/5 - 1776*u**3/5 - 1736*u**2/5 + 7072*u/5 = 0.
-221, -2, 0, 2, 4
Factor -4*l**3 + 7720*l**2 - 7692*l - 46296.
-4*(l - 1929)*(l - 3)*(l + 2)
Let 2*n**3 - 11406*n**2 + 22798*n + 34206 = 0. Calculate n.
-1, 3, 5701
Solve -5*l**3 + 136260*l**2 - 408745*l + 272490 = 0.
1, 2, 27249
Suppose 20*z**4 - 1856*z**3 - 6332*z**2 + 18008*z + 3840 = 0. What is z?
-5, -1/5, 2, 96
Factor 99*u**3/2 - 498*u**2 + 30*u.
3*u*(u - 10)*(33*u - 2)/2
Find w, given that -20*w**2 - 91272*w - 91252 = 0.
-22813/5, -1
Factor -n**2/2 - 23797*n/2 - 35691.
-(n + 3)*(n + 23794)/2
Solve -5*c**4/4 - 9815*c**3/4 + 39395*c**2/4 + 108215*c/4 + 29505/2 = 0.
-1967, -1, 6
Let a**5/2 - 56*a**4 + 1149*a**3/2 - 1945*a**2 + 2638*a - 1212 = 0. What is a?
1, 2, 6, 101
Find l such that -l**2 + 18*l + 6160 = 0.
-70, 88
Suppose -3*h**4/10 + 86*h**3/5 - 1611*h**2/5 + 9274*h/5 + 4389/2 = 0. Calculate h.
-1, 55/3, 19, 21
Suppose -3*o**5 + 399*o**4 - 360*o**3 - 4836*o**2 + 11136*o - 6336 = 0. What is o?
-4, 1, 2, 132
Factor -t**4/4 + 45*t**3/2 - 1313*t**2/4 + 306*t.
-t*(t - 72)*(t - 17)*(t - 1)/4
Determine n, given that -3*n**3/2 - 121983*n**2/2 - 243957*n/2 - 121977/2 = 0.
-40659, -1
Find t, given that t**2 - 1441684*t + 519613188964 = 0.
720842
Solve p**2/3 - 44846*p/3 + 502790929/3 = 0.
22423
Factor -204304*k**3 - 2457072*k**2 - 65124*k - 432.
-4*(k + 12)*(226*k + 3)**2
Determine a so that 1660*a**4 + 4568*a**3 - 1220*a**2 + 48*a = 0.
-3, 0, 4/83, 1/5
Find t such that -t**3/3 - 4007*t**2/3 + 1336*t = 0.
-4008, 0, 1
Factor -3*g**3 - 522*g**2 + 17148*g + 36360.
-3*(g - 30)*(g + 2)*(g + 202)
Determine a so that a**4 + 185473*a**3/5 - 682791*a**2 + 16366671*a/5 - 6012306/5 = 0.
-37113, 2/5, 9
Suppose -3*v**5 - 141*v**4 - 1323*v**3 - 5103*v**2 - 8910*v - 5832 = 0. What is v?
-36, -3, -2
Find s, given that -3*s**4 - 48561*s**3 + 97131*s**2 - 48567*s = 0.
-16189, 0, 1
Determine m so that -4*m**2 + 242184*m = 0.
0, 60546
Solve -3*t**2/5 + 14322*t/5 = 0 for t.
0, 4774
Factor 3*f**2 + 1328100*f + 146987467500.
3*(f + 221350)**2
Suppose 2*h**3/13 + 47498*h**2/13 + 281983750*h/13 - 282031250/13 = 0. Calculate h.
-11875, 1
Factor -2*m**3 + 111*m**2 - 997*m + 2340.
-(m - 45)*(m - 4)*(2*m - 13)
Factor -78*b**3 + 7101*b**2 - 273*b.
-3*b*(b - 91)*(26*b - 1)
Determine s, given that 2*s**3/9 + 9094*s**2/9 + 72656*s/9 + 48416/3 = 0.
-4539, -4
Factor -3*k**2 - 2569272*k - 550096550832.
-3*(k + 428212)**2
Factor -2*t**2/11 + 46*t + 12696/11.
-2*(t - 276)*(t + 23)/11
Suppose 2*i**3/7 - 188*i**2/7 + 726*i/7 - 540/7 = 0. What is i?
1, 3, 90
Solve -22*g**5/3 - 11656*g**4 - 63072*g**3 + 1367264*g**2/3 - 692576*g + 253440 = 0 for g.
-1584, -10, 6/11, 2
Factor -8*l**3/19 + 58*l**2 + 1390*l/19.
-2*l*(l - 139)*(4*l + 5)/19
Factor 32*w**4 - 3261*w**3 - 24722*w**2 - 2289*w.
w*(w - 109)*(w + 7)*(32*w + 3)
Let -6*i**4 + 1208*i**3 - 3944*i**2 - 3168*i = 0. Calculate i.
-2/3, 0, 4, 198
Factor -4*a**3 + 5156*a**2 + 375620*a + 6659100.
-4*(a - 1359)*(a + 35)**2
Solve 75*a**3/2 - 527*a**2 + 2531*a/2 - 66 = 0.
4/75, 3, 11
Find a such that 3*a**2 - 38133*a = 0.
0, 12711
Factor -c**4/4 + 779*c**3/4 + 393*c**2/2 - 1170*c.
-c*(c - 780)*(c - 2)*(c + 3)/4
Factor a**4/2 - 355*a**3/2 - 3*a**2/2 + 1063*a/2 + 355.
(a - 355)*(a - 2)*(a + 1)**2/2
Find x, given that 3*x**2 - 5370*x + 21432 = 0.
4, 1786
Let 128*a**5/5 + 3232*a**4/5 - 18126*a**3/5 + 880*a**2 + 5960*a + 2400 = 0. What is a?
-30, -5/8, 2, 4
Factor -13*o**2 + 142313*o - 21894.
-(o - 10947)*(13*o - 2)
Factor -2*j**2/3 + 40132*j/3 - 201322178/3.
-2*(j - 10033)**2/3
Factor i**3 + 958*i**2 + 4765*i.
i*(i + 5)*(i + 953)
Factor -5*f**2 + 15325*f - 30630.
-5*(f - 3063)*(f - 2)
Solve 2*h**3/19 + 174152*h**2/19 + 3791289034*h/19 + 7581881476/19 = 0.
-43537, -2
Let 75*q**3 - 42730*q**2 + 6080475*q + 1624500 = 0. What is q?
-4/15, 285
Suppose -2*i**3/5 + 2286*i**2/5 - 20412*i/5 = 0. Calculate i.
0, 9, 1134
Find q, given that 12*q**3 - 45093*q**2 + 707190*q + 179616 = 0.
-1/4, 16, 3742
Suppose -5*a**2 + 7155*a + 1082610 = 0. Calculate a.
-138, 1569
Solve -d**3/4 + 32*d**2 + 8851*d/4 + 4361/2 = 0.
-49, -1, 178
Let -106*s**5/7 - 6780*s**4/7 - 111044*s**3/7 - 100312*s**2 - 219534*s + 8428 = 0. Calculate s.
-43, -7, 2/53
F