296 = 0. Calculate x.
-101, 6, 8
Solve 3*p**4 + 84*p**3 - 123*p**2 - 1044*p = 0.
-29, -3, 0, 4
Determine z, given that -3876*z**3 - 6262*z**2 - 2254*z + 132 = 0.
-1, -2/3, 33/646
Let -9*t**4/4 + 74037*t**3/4 - 123359*t**2/2 + 57563*t - 16446 = 0. What is t?
2/3, 2, 8223
Solve 2*y**4/7 + 4002*y**3/7 + 1999994*y**2/7 - 287430*y - 572572 = 0 for y.
-1001, -1, 2
Factor 4*w**4 - 159012*w**3 + 159008*w**2.
4*w**2*(w - 39752)*(w - 1)
Determine t, given that 2*t**3 - 1748840*t**2 - 3497686*t - 1748844 = 0.
-1, 874422
Suppose -16*l**4 - 72556*l**3 - 416788*l**2 - 543444*l + 163044 = 0. Calculate l.
-4529, -3, 1/4
Solve 2*a**3/15 + 1068*a**2/5 - 3448*a + 90608/15 = 0 for a.
-1618, 2, 14
Determine d so that 14*d**3/9 + 49144*d**2/9 - 775784*d/9 - 225664/9 = 0.
-3526, -2/7, 16
Solve 4*c**2/5 - 40572*c = 0.
0, 50715
Let -a**2/8 + 8999*a/8 + 1125 = 0. Calculate a.
-1, 9000
Factor 4*h**3 - 1596*h**2 - 4824*h.
4*h*(h - 402)*(h + 3)
Factor r**4 + 652*r**3 - 6595*r**2 + 16550*r.
r*(r - 5)**2*(r + 662)
Let -9*u**4/4 - 969*u**3/2 - 2557*u**2/4 + 588*u - 107 = 0. What is u?
-214, -2, 1/3
Solve 3*d**2 - 2814*d + 212895 = 0 for d.
83, 855
Determine c, given that -5*c**2 - 4105*c - 402990 = 0.
-707, -114
Suppose 2*f**2/9 - 145778*f/9 + 48592/3 = 0. Calculate f.
1, 72888
Find r such that -2*r**4 - 258*r**3 + 4486*r**2 - 22134*r + 28420 = 0.
-145, 2, 7
Suppose -4*b**4 + 1056*b**3 - 69696*b**2 = 0. Calculate b.
0, 132
Factor 3*g**3 - 6462*g**2 + 623700*g - 15405000.
3*(g - 2054)*(g - 50)**2
Factor -2*k**3/3 + 524*k**2/3 - 1034*k/3 - 520.
-2*(k - 260)*(k - 3)*(k + 1)/3
Solve 2*x**2 - 648*x - 3960 = 0.
-6, 330
Find b, given that b**4/3 + 5912*b**3/3 = 0.
-5912, 0
Find x, given that -2*x**3/5 + 864*x**2/5 - 30994*x/5 + 26724 = 0.
5, 34, 393
Find s, given that -3*s**2/2 + 18723*s/2 + 28098 = 0.
-3, 6244
Find m, given that -100*m**4 - 160*m**3 + 52*m**2 + 160*m + 48 = 0.
-6/5, -1, -2/5, 1
Factor -c**3 + 220*c**2 - 1503*c + 2556.
-(c - 213)*(c - 4)*(c - 3)
Solve j**3/2 + 3565*j**2 + 21383*j/2 + 7127 = 0 for j.
-7127, -2, -1
Factor -1558*o**2 + 8*o.
-2*o*(779*o - 4)
Determine f, given that 8*f**5 - 436*f**4 + 3612*f**3 + 33076*f**2 + 15580*f = 0.
-5, -1/2, 0, 19, 41
Factor -4511*j**3/9 + 18076*j**2/9 - 18172*j/9 + 128/9.
-(j - 2)**2*(4511*j - 32)/9
Suppose -i**2 - 204*i = 0. Calculate i.
-204, 0
Let 8*w**5 - 1226*w**4 + 43948*w**3 + 233366*w**2 + 149784*w = 0. Calculate w.
-4, -3/4, 0, 79
Suppose -5*x**3/2 + 60*x**2 + 2310*x - 4840 = 0. Calculate x.
-22, 2, 44
Suppose n**4 - 73*n**3 + 406*n**2 + 3648*n + 3168 = 0. What is n?
-4, -1, 12, 66
Find b, given that -4*b**3 - 68428*b**2 - 292683660*b - 292615236 = 0.
-8553, -1
Factor -5*p**4 + 1890*p**3 + 3815*p**2 - 5700*p.
-5*p*(p - 380)*(p - 1)*(p + 3)
Determine y, given that 2*y**3/3 - 1954*y**2/3 + 1948*y = 0.
0, 3, 974
Suppose -280087112*o**2/11 + 47336*o/11 - 2/11 = 0. What is o?
1/11834
Suppose i**4 - 37*i**3 - 1191*i**2 - 6443*i + 7670 = 0. What is i?
-13, -10, 1, 59
Factor o**2/4 + 5*o - 3224.
(o - 104)*(o + 124)/4
Suppose -3*l**3/7 + 2970*l**2/7 - 103293*l - 5976024/7 = 0. Calculate l.
-8, 499
Suppose -3*u**2/4 + 18561*u/4 - 50952 = 0. Calculate u.
11, 6176
Determine l so that -4*l**4/9 + 35408*l**3/9 - 26154652*l**2/3 + 468944152*l/9 + 1252027456/9 = 0.
-2, 8, 4423
Factor -2*f**3/5 + 438*f**2 - 4374*f/5 + 2186/5.
-2*(f - 1093)*(f - 1)**2/5
Factor 3*n**3 - 2130*n**2 - 15021*n - 25812.
3*(n - 717)*(n + 3)*(n + 4)
Determine d, given that d**5 - 12355*d**4 + 12352*d**3 + 24708*d**2 = 0.
-1, 0, 2, 12354
Determine k so that -2*k**2/3 + 920792*k/3 - 105982238408/3 = 0.
230198
Let 3*a**3 + 277968*a**2 - 555948*a = 0. Calculate a.
-92658, 0, 2
Factor 2*x**3 + 190*x**2 + 366*x - 558.
2*(x - 1)*(x + 3)*(x + 93)
Factor -a**2 - 357338*a - 31922611561.
-(a + 178669)**2
Factor -b**2/7 - 7783*b - 54480/7.
-(b + 1)*(b + 54480)/7
Solve -k**5/5 + 57*k**4/5 - 572*k**3/5 = 0 for k.
0, 13, 44
Factor -36*c**2 - 278924*c + 30992.
-4*(c + 7748)*(9*c - 1)
What is w in -2*w**3/9 + 134*w**2/9 + 1036*w/9 = 0?
-7, 0, 74
Factor -2*g**2 - 13814*g - 27620.
-2*(g + 2)*(g + 6905)
What is t in t**5/8 - 40*t**4 - 485*t**3/4 + 40*t**2 + 969*t/8 = 0?
-3, -1, 0, 1, 323
Factor -k**2 - 116*k - 3363.
-(k + 57)*(k + 59)
Let -3*l**4/4 + 72*l**3 - 4821*l**2/4 - 27297*l + 28431 = 0. Calculate l.
-13, 1, 54
Find b, given that 3*b**3 + 3291*b**2 - 6591*b + 3297 = 0.
-1099, 1
Let 2*x**3/5 - 180*x**2 + 3574*x/5 - 2676/5 = 0. Calculate x.
1, 3, 446
Factor 3*o**5/4 - 15387*o**4/4 + 46125*o**3/2 - 46113*o**2 + 30738*o.
3*o*(o - 5123)*(o - 2)**3/4
Let d**2/4 + 7429*d/2 + 55190041/4 = 0. What is d?
-7429
What is z in -4*z**2 + 4056*z + 4060 = 0?
-1, 1015
Suppose -a**2 - 46*a + 3071 = 0. What is a?
-83, 37
Find f such that -f**5/7 - 13*f**4/7 - 51*f**3/7 - 47*f**2/7 + 52*f/7 + 60/7 = 0.
-6, -5, -2, -1, 1
Factor y**4 + 79*y**3 - 2497*y**2 - 2575*y.
y*(y - 25)*(y + 1)*(y + 103)
Solve 20*v**3/3 + 5852*v**2/9 - 302008*v/9 + 22080 = 0 for v.
-135, 2/3, 184/5
Solve -4*u**2 + 240*u - 3116 = 0.
19, 41
Find u, given that -8*u**4 - 320188*u**3 + 160096*u**2 = 0.
-40024, 0, 1/2
Find c such that -3*c**4 + 31596*c**3 - 83065788*c**2 - 666043680*c - 1333099200 = 0.
-4, 5270
Suppose -2*c**2/7 + 2108*c/7 + 2110/7 = 0. Calculate c.
-1, 1055
Factor -5*n**2/2 - 125*n - 2405/2.
-5*(n + 13)*(n + 37)/2
Suppose -z**3/2 - 5*z**2 + 2403*z/2 + 24804 = 0. Calculate z.
-39, -24, 53
Solve 63*y**5/8 - 42675*y**4/8 + 35853*y**3/2 + 25269*y**2/2 + 2022*y = 0.
-1/3, -2/7, 0, 4, 674
Factor 3*w**4 - 3264*w**3 + 6516*w**2.
3*w**2*(w - 1086)*(w - 2)
Factor z**3/5 + 122*z**2/5 - 123*z/5.
z*(z - 1)*(z + 123)/5
Suppose 7*n**5/5 + 34806*n**4/5 + 287928*n**3/5 + 79424*n**2/5 = 0. Calculate n.
-4964, -8, -2/7, 0
What is j in -2*j**4 + 668*j**3 + 55462*j**2 - 18577080*j - 1546792200 = 0?
-103, 270
Factor -3*y**4/5 - 441*y**3/5 + 891*y**2/5 - 447*y/5.
-3*y*(y - 1)**2*(y + 149)/5
Factor 3*h**2/4 - 1227*h/4 - 67365/2.
3*(h - 499)*(h + 90)/4
Factor -2*d**2/3 - 51670*d/3 - 51664.
-2*(d + 3)*(d + 25832)/3
Solve 5*l**5 - 5*l**4 - 165*l**3 + 5*l**2 + 460*l + 300 = 0 for l.
-5, -1, 2, 6
Find m, given that m**2/3 + 3968*m/3 + 75031/3 = 0.
-3949, -19
Factor 3*y**3 - 12231*y**2 + 24441*y + 36675.
3*(y - 4075)*(y - 3)*(y + 1)
Suppose b**3/4 + 2367*b**2/4 + 11785*b/2 = 0. Calculate b.
-2357, -10, 0
Find d, given that 3*d**3 + 102*d**2 - 3132*d + 5832 = 0.
-54, 2, 18
Factor -2*i**2/7 + 1962*i/7 + 281432/7.
-2*(i - 1108)*(i + 127)/7
Find n such that -n**4/8 - 1439*n**3/8 + 2163*n**2/4 - n/2 - 721 = 0.
-1442, -1, 2
Factor 3*x**3 - 3279*x**2 + 6546*x.
3*x*(x - 1091)*(x - 2)
What is u in 129*u**3 + 12651*u**2 + 882*u = 0?
-98, -3/43, 0
Factor 5*j**2 - 6485*j + 12950.
5*(j - 1295)*(j - 2)
Factor 3*v**2 + 175875*v + 175872.
3*(v + 1)*(v + 58624)
Determine r, given that -412*r**3 - 19770*r**2 - 237024*r + 3456 = 0.
-24, 3/206
What is i in 3*i**2/7 + 822*i/7 + 41607/7 = 0?
-207, -67
Determine l so that -4*l**2 - 29880*l = 0.
-7470, 0
Factor -c**3/5 - 312*c**2/5 - 4221*c/5 - 14602/5.
-(c + 7)**2*(c + 298)/5
Determine y, given that 9*y**5 - 1308*y**4 + 15897*y**3 - 54894*y**2 + 13644*y + 85752 = 0.
-1, 2, 6, 397/3
Suppose 15*j**4 + 48*j**3 - 330*j**2 + 456*j - 189 = 0. What is j?
-7, 1, 9/5
Find m such that -2*m**2 + 39552*m - 195545088 = 0.
9888
Factor -2*o**3 - 1834*o**2 - 34084*o + 35920.
-2*(o - 1)*(o + 20)*(o + 898)
What is a in 2*a**2 - 3684*a + 3682 = 0?
1, 1841
Factor 3*q**5/2 + 2265*q**4/2 - 17325*q**3.
3*q**3*(q - 15)*(q + 770)/2
Solve -x**4/4 + 79*x**3/4 - 1247*x**2/4 - 12943*x/4 = 0.
-7, 0, 43
Find m such that -8*m**5/5 - 226*m**4/5 + 256*m**3/5 + 2462*m**2/5 + 2452*m/5 + 464/5 = 0.
-29, -2, -1, -1/4, 4
Factor -6*d**2 + 6010*d + 2004.
-2*(d - 1002)*(3*d + 1)
Let -5*t**4 - 3134*t**3 - 492348*t**2 - 391250*t + 97969 = 0. Calculate t.
-313, -1, 1/5
Solve n**2 + 21734*n/5 - 65247/5 = 0.
-21749/5, 3
Solve -2*p**3/11 - 1872*p**2/11 + 3752*p/11 = 0.
-938, 0, 2
Determine j so that -2*j**2/9 + 80*j/9 + 1442 = 0.
-63, 103
Solve -a**2/8 + 14723*a/8 + 3681/2 = 0.
-1, 14724
Determine c, given that -20*c**4 - 2905*c**3 - 5605*c**2 + 901180*c + 225600 = 0.
-141, -20, -1/4, 16
Determine a, given that 8*a**5 - 292*a**4 + 1444*a**3 - 2528*a**2 + 1488*a = 0.
0, 3/2, 2, 31
Let -1024*r**3 - 2052*r**2 - 1032*r - 4 = 0. Calculate r.
-1, -1/256
Factor -