 0.
-160, -32, -5, -2
Solve -3*a**5 + 17979*a**4 + 107949*a**3 + 197949*a**2 + 107982*a = 0.
-3, -2, -1, 0, 5999
Factor -5*g**3 + 2350*g**2 + 101445*g + 283050.
-5*(g - 510)*(g + 3)*(g + 37)
Factor -v**3 + 4535*v**2 + 31788*v + 27252.
-(v - 4542)*(v + 1)*(v + 6)
Solve -2*m**3 - 129088*m**2 + 645490*m = 0.
-64549, 0, 5
Factor r**2/6 + 57*r/2 + 2527/3.
(r + 38)*(r + 133)/6
Factor -m**3 + 9811*m**2 - 19619*m + 9809.
-(m - 9809)*(m - 1)**2
Factor -5*h**2 + 292160*h - 1460675.
-5*(h - 58427)*(h - 5)
Factor -4*a**4 + 52544*a**3 - 172501944*a**2 - 345161536*a - 172607044.
-4*(a - 6569)**2*(a + 1)**2
Find q, given that -2*q**4 - 632*q**3 + 45006*q**2 - 43100*q - 88736 = 0.
-376, -1, 2, 59
Solve -3*f**5 + 504*f**4/5 + 45213*f**3/5 - 27306*f**2/5 = 0.
-41, 0, 3/5, 74
Find k such that -2*k**2 - 1286*k - 189612 = 0.
-414, -229
Solve -5*q**3/2 - 40*q**2 - 75*q/2 = 0.
-15, -1, 0
Let -d**5/2 + 281*d**4 + 12243*d**3/2 = 0. What is d?
-21, 0, 583
Let -3*u**2/4 - 37563*u/4 + 18783/2 = 0. Calculate u.
-12522, 1
Factor -o**3 + 2673*o**2 + 2674*o.
-o*(o - 2674)*(o + 1)
Factor -4*j**3/9 - 1264*j**2/9 + 5168*j/9 + 5120/3.
-4*(j - 6)*(j + 2)*(j + 320)/9
Factor 3*m**4 + 33*m**3 - 291*m**2 + 255*m.
3*m*(m - 5)*(m - 1)*(m + 17)
Let l**2 + 975*l + 28350 = 0. What is l?
-945, -30
Determine b so that -b**4/5 - 2376*b**3/5 - 2371*b**2/5 + 9504*b/5 + 1900 = 0.
-2375, -2, -1, 2
Factor p**2/4 - 3165*p/4 - 9513/2.
(p - 3171)*(p + 6)/4
Determine g so that 5*g**4 - 9490*g**3 + 4596585*g**2 - 88510140*g + 158709780 = 0.
2, 18, 939
Determine m so that -4*m**4 - 60*m**3 - 92*m**2 + 924*m = 0.
-11, -7, 0, 3
Determine a so that -4*a**2 - 13652*a + 13656 = 0.
-3414, 1
What is d in -3*d**4 + 726*d**3 + 3744*d**2 - 9654*d + 5187 = 0?
-7, 1, 247
Factor 3*d**2/4 + 384945*d/2.
3*d*(d + 256630)/4
Factor z**3/5 + 362*z**2/5 - 981*z - 2250.
(z - 15)*(z + 2)*(z + 375)/5
Factor 2*d**2/23 + 450698*d/23 - 1802824/23.
2*(d - 4)*(d + 225353)/23
Factor 2*g**2/9 - 73772*g/3 + 680288498.
2*(g - 55329)**2/9
Let 2*h**4/5 + 24*h**3/5 - 358*h**2/5 - 156*h - 80 = 0. What is h?
-20, -1, 10
Solve -5*m**3/6 - 695*m**2/6 - 6560*m/3 + 420250/3 = 0 for m.
-82, 25
Determine o, given that o**2/7 + 1100*o/7 + 138475/7 = 0.
-955, -145
Find g such that 2*g**3/13 + 27552*g**2/13 + 94889088*g/13 = 0.
-6888, 0
Find i, given that 5*i**3 + 2035*i**2 - 6150*i = 0.
-410, 0, 3
Factor y**2/2 + 1097517*y + 1204543565289/2.
(y + 1097517)**2/2
Factor h**2/7 - 507*h/7 + 12506/7.
(h - 481)*(h - 26)/7
Suppose 10*a**5 + 465*a**4 - 6640*a**3 + 2005*a**2 + 15480*a + 6380 = 0. What is a?
-58, -1, -1/2, 2, 11
What is c in 5*c**3 + 2135*c**2 - 78520*c - 80715540 = 0?
-302, 177
Factor 5*z**2 - 531690*z + 14134712805.
5*(z - 53169)**2
What is c in 6*c**3 - 11314*c**2 + 5331722*c + 1778498 = 0?
-1/3, 943
Let -v**3 - 32*v**2 + 351*v - 738 = 0. Calculate v.
-41, 3, 6
Factor -k**3 + 25590*k**2 + 4*k - 102360.
-(k - 25590)*(k - 2)*(k + 2)
Find m such that -12*m**2 - 440*m + 148 = 0.
-37, 1/3
Factor 40*i**3 + 798*i**2 - 42*i - 40.
2*(i + 20)*(4*i - 1)*(5*i + 1)
Factor 2*u**2/17 - 1136*u/17 + 131544/17.
2*(u - 406)*(u - 162)/17
Factor 2*u**2 + 4620*u + 18448.
2*(u + 4)*(u + 2306)
Factor -5*w**3 + 34930*w**2 - 61109900*w + 365403000.
-5*(w - 3490)**2*(w - 6)
Factor -2*o**2/7 + 168928*o - 24969585536.
-2*(o - 295624)**2/7
Factor n**2/4 - 1729*n/4 - 1733.
(n - 1733)*(n + 4)/4
Determine z, given that 64*z**4 - 890*z**3/7 + 436*z**2/7 + 6*z/7 = 0.
-3/224, 0, 1
Find c, given that -4*c**2 + 932*c - 21528 = 0.
26, 207
Factor -5*m**2 - 27525*m + 137750.
-5*(m - 5)*(m + 5510)
Solve -k**5/2 + 4081*k**4/8 - 127*k**3 - 4081*k**2/8 + 255*k/2 = 0.
-1, 0, 1/4, 1, 1020
Determine d so that 2*d**5/13 + 110*d**4/13 - 432*d**3/13 - 5072*d**2/13 - 11744*d/13 - 8352/13 = 0.
-58, -2, 9
Determine m, given that -4*m**5 + 1188*m**4 - 28556*m**3 + 101260*m**2 - 121584*m + 47696 = 0.
1, 2, 22, 271
Let -486*y**2/5 - 56*y = 0. What is y?
-140/243, 0
What is o in -10*o**3 + 23005*o**2 - 11495*o - 11500 = 0?
-1/2, 1, 2300
Determine x, given that -x**4/2 + 156*x**3 - 17889*x**2 + 887152*x - 31723605/2 = 0.
45, 89
Factor 5*y**3 + 1725*y**2 + 8470*y - 10200.
5*(y - 1)*(y + 6)*(y + 340)
Find v such that -3*v**2/5 - 15207*v/5 + 274698/5 = 0.
-5087, 18
Find x, given that 14*x**3/5 - 1406*x**2/5 + 5170*x - 132858/5 = 0.
11, 549/7
Factor 415*c**2 + 2455980*c + 59180.
5*(c + 5918)*(83*c + 2)
Find p such that -5*p**5 + 23830*p**4 = 0.
0, 4766
Factor l**2/3 + 6373*l + 38234/3.
(l + 2)*(l + 19117)/3
Factor 150*w**3 + 20104*w**2 - 61114*w - 1644.
2*(w - 3)*(w + 137)*(75*w + 2)
What is v in -2*v**2/5 + 166*v/5 - 364 = 0?
13, 70
Factor 2*b**4 + 880*b**3 + 4350*b**2.
2*b**2*(b + 5)*(b + 435)
Find u such that -484*u**5 + 1628*u**4 - 1996*u**3 + 1060*u**2 - 224*u + 16 = 0.
2/11, 1
Factor 2*l**2/5 + 433384*l/5 + 23477711432/5.
2*(l + 108346)**2/5
Solve -4*u**2 + 3104*u - 465276 = 0 for u.
203, 573
Determine n so that 2*n**3/15 + 224*n**2/15 - 466*n/5 + 708/5 = 0.
-118, 3
Factor 2*b**2 - 79674*b - 398420.
2*(b - 39842)*(b + 5)
Factor n**2/3 + 23*n/3 + 20.
(n + 3)*(n + 20)/3
Factor 4*l**4 + 672*l**3 - 21032*l**2 - 4137504*l + 151634596.
4*(l - 47)**2*(l + 131)**2
Factor -26*w**4/3 + 141*w**3 - 592*w**2 + 448*w/3.
-w*(w - 8)**2*(26*w - 7)/3
Let 2*r**5/5 + 94*r**4/5 - 1324*r**3/5 - 2496*r**2/5 + 16704*r/5 = 0. Calculate r.
-58, -4, 0, 3, 12
What is j in 3*j**5 + 615*j**4 + 21000*j**3 + 198000*j**2 = 0?
-165, -20, 0
Factor 3*l**3 - 837*l**2 + 25089*l - 24255.
3*(l - 245)*(l - 33)*(l - 1)
Factor 4*x**2 - 4808*x + 1024900.
4*(x - 925)*(x - 277)
Factor -p**4 + 10*p**3 + 31*p**2 - 88*p + 48.
-(p - 12)*(p - 1)**2*(p + 4)
Suppose 3*d**2/7 - 4026*d/7 - 4029/7 = 0. What is d?
-1, 1343
Find f such that -4*f**5/3 - 4780*f**4 - 12888028*f**3/3 - 21394084*f**2 - 89757760*f/3 - 12816400 = 0.
-1790, -3, -1
Factor -36*d**3 - 124176*d**2 - 165520*d - 55168.
-4*(d + 3448)*(3*d + 2)**2
Factor 2*t**3 - 1648*t**2 + 63520*t - 627200.
2*(t - 784)*(t - 20)**2
Factor 3*d**3/5 + 201*d**2/5 + 552*d/5 - 23436/5.
3*(d - 9)*(d + 14)*(d + 62)/5
Factor 5*z**2 - 575945*z - 575950.
5*(z - 115190)*(z + 1)
Factor -2*q**2/5 - 286444*q/5 - 10256270642/5.
-2*(q + 71611)**2/5
Factor -2*s**3/19 + 28*s**2 + 30144*s/19.
-2*s*(s - 314)*(s + 48)/19
Find m such that 2*m**4 + 114*m**3 - 9998*m**2 + 73854*m - 134820 = 0.
-107, 3, 5, 42
Determine r so that 5*r**3 - 3445*r**2 - 6905*r - 3455 = 0.
-1, 691
Determine u, given that -2*u**2 - 175422*u + 175424 = 0.
-87712, 1
Solve 2*x**2/19 - 282*x/19 - 4340/19 = 0 for x.
-14, 155
Let -2*u**5/5 + 2*u**4/5 + 104*u**3/5 - 64*u**2 = 0. Calculate u.
-8, 0, 4, 5
Factor l**2 - 2457*l - 7380.
(l - 2460)*(l + 3)
Let 2*b**2/9 + 1443196*b/9 + 260351836802/9 = 0. What is b?
-360799
Let -2*b**4 + 9382*b**3 + 112854*b**2 + 84698*b - 206932 = 0. Calculate b.
-11, -2, 1, 4703
Find s such that s**3/8 - 6619*s**2/8 + 10364935*s/8 + 1970950275/8 = 0.
-171, 3395
Suppose 31205*l**3 - 39500*l**2 + 35385*l/4 - 2205/4 = 0. What is l?
21/158, 1
Suppose 2*d**4/13 - 808*d**3/13 - 4086*d**2/13 - 1652*d/13 + 6544/13 = 0. Calculate d.
-4, -2, 1, 409
Solve 4*r**4/7 + 128*r**3 + 27212*r**2/7 + 3760*r = 0 for r.
-188, -35, -1, 0
Determine o, given that 3*o**4/5 + 5079*o**3/5 + 1014*o**2 - 10152*o/5 = 0.
-1692, -2, 0, 1
What is p in p**4/5 + 228*p**3/5 + 1541*p**2 + 7026*p/5 - 2992 = 0?
-187, -40, -2, 1
Let -5*a**2/2 + 22610*a + 45225/2 = 0. What is a?
-1, 9045
Determine g so that 2*g**3/7 - 34*g**2/7 + 60*g/7 = 0.
0, 2, 15
Let 198*q**3 - 982*q**2 + 1148*q + 48 = 0. Calculate q.
-4/99, 2, 3
Factor 2*z**4/7 + 1352*z**3/7 + 31680*z**2/7 + 251392*z/7 + 667648/7.
2*(z + 8)**3*(z + 652)/7
Factor -w**2 + 3892984*w - 3788831106064.
-(w - 1946492)**2
Factor b**2/5 + 6409*b/5.
b*(b + 6409)/5
Suppose 2*z**2/5 + 25964*z/5 + 10384 = 0. Calculate z.
-12980, -2
What is z in -z**3 - 121238*z**2 - 3674663161*z = 0?
-60619, 0
Find l such that 4*l**3 + 44*l**2 - 304*l + 256 = 0.
-16, 1, 4
What is g in 3*g**2 + 600*g + 5700 = 0?
-190, -10
Find d, given that -2*d**4 + 5476*d**3 - 32802*d**2 + 49184*d - 21856 = 0.
1, 4, 2732
Determine u so that 6*u**4/5 - 6252*u**3/5 - 545298*u**2/5 - 107808*u = 0.
-80, -1, 0, 1123
Suppose 3*j**2 - 5259*j + 546786 = 0. Calculate j.
111, 1642
Factor 3*o**5 - 72*o**4 - 75*o**3.
3*o**3*(o - 25)*(o + 1)
Suppose -99*y**5 - 15