-6, -3/10, 1
Find g, given that -5*g**4 - 510*g**3 + 515*g**2 = 0.
-103, 0, 1
Solve 3*a**2 - 9*a = 0.
0, 3
What is k in -96*k**3 - 304*k**2 + 910*k/3 - 200/3 = 0?
-4, 5/12
Factor -2*a**2/3 - 18*a + 56/3.
-2*(a - 1)*(a + 28)/3
Solve 2*n**4 - 8*n**3 + 10*n**2 - 4*n = 0 for n.
0, 1, 2
What is d in -2*d**3/11 + 228*d**2/11 - 648*d + 34992/11 = 0?
6, 54
Factor 8*r**3/3 - 1784*r**2/3 + 1766*r - 1320.
2*(r - 220)*(2*r - 3)**2/3
Factor 5*r**5 + 170*r**4 + 770*r**3 + 1340*r**2 + 1025*r + 290.
5*(r + 1)**3*(r + 2)*(r + 29)
Solve 3*z**5/8 - 3*z**4/8 - 9*z**3/4 - 3*z**2/4 + 15*z/8 + 9/8 = 0.
-1, 1, 3
Let -25*l**3 + 45*l**2 + 82*l + 24 = 0. What is l?
-4/5, -2/5, 3
Factor -3*k**2/4 + 47*k/2 + 97/4.
-(k + 1)*(3*k - 97)/4
Determine q so that -469*q**2 + 2343*q + 10 = 0.
-2/469, 5
Determine w so that -3*w**2 + 108*w - 105 = 0.
1, 35
Factor -5*u**2 + 45*u - 40.
-5*(u - 8)*(u - 1)
Factor -5*u**2 + 3590*u - 644405.
-5*(u - 359)**2
What is i in -4*i**3/3 - 3176*i**2/3 + 1060*i = 0?
-795, 0, 1
Suppose 4*r**2 - 4048*r - 8112 = 0. Calculate r.
-2, 1014
Factor 4*c**3 - 8*c**2 - 32*c.
4*c*(c - 4)*(c + 2)
Factor 3*o**2/7 - 39*o/7 + 36/7.
3*(o - 12)*(o - 1)/7
What is k in k**3 + 39*k**2 + 75*k + 37 = 0?
-37, -1
Find r, given that r**4/6 + 56*r**3/3 = 0.
-112, 0
Factor -2*o**5 + 56*o**4 - 482*o**3 + 860*o**2 + 3400*o + 2000.
-2*(o - 10)**3*(o + 1)**2
Determine w so that -4*w**2 - 928*w - 53824 = 0.
-116
Let 2*c**4/5 + 4*c**3/5 - 2*c**2 - 12*c/5 = 0. What is c?
-3, -1, 0, 2
Let u**5/2 + 101*u**4/2 + 1484*u**3 + 10636*u**2 + 26312*u + 21160 = 0. Calculate u.
-46, -5, -2
Determine z so that -3*z**4/7 + 114*z**3 - 50619*z**2/7 - 46512*z - 499392/7 = 0.
-3, 136
Let 2*v**5 - 18*v**4 + 46*v**3 - 22*v**2 - 48*v + 40 = 0. Calculate v.
-1, 1, 2, 5
What is n in 8*n**4 - 510*n**3 - 2344*n**2 + 2166*n + 680 = 0?
-5, -1/4, 1, 68
Find b such that b**4/4 + 3*b**3/2 + 3*b**2/4 - 5*b/2 = 0.
-5, -2, 0, 1
What is s in 4*s**2 + 208*s/5 + 16 = 0?
-10, -2/5
Factor -2*i**2/3 + 8*i/3 + 14.
-2*(i - 7)*(i + 3)/3
Let -2*i**3 + 98*i**2 - 448*i + 352 = 0. What is i?
1, 4, 44
Let 2*g**2/17 - 8*g/17 + 6/17 = 0. Calculate g.
1, 3
Factor 4*r**3/5 - 32*r**2/5.
4*r**2*(r - 8)/5
Find n, given that -5*n**4 - 260*n**3 - 735*n**2 = 0.
-49, -3, 0
Factor -14*h**2 + 71*h - 134/7.
-(7*h - 2)*(14*h - 67)/7
Suppose 2*u**3/5 + 32*u**2/5 - 246*u/5 + 396/5 = 0. What is u?
-22, 3
Factor 2*a**2 + 62*a + 60.
2*(a + 1)*(a + 30)
Suppose 3*v**4 + 462*v**3 + 23400*v**2 + 373152*v - 843648 = 0. What is v?
-52, 2
Factor 4*b**4 - 48*b**3 - 108*b**2 + 1944*b.
4*b*(b - 9)**2*(b + 6)
Determine n so that 3*n**5/2 + 15*n**4 - 9*n**3/2 - 42*n**2 + 30*n = 0.
-10, -2, 0, 1
Factor -2*y**2/7 - 4304*y/7 + 4306/7.
-2*(y - 1)*(y + 2153)/7
Factor -2*z**2/13 - 84*z/13 - 82/13.
-2*(z + 1)*(z + 41)/13
Solve -5*b**2 - 24240*b - 24235 = 0.
-4847, -1
Suppose 2*a**4/5 - 36*a**3/5 + 174*a**2/5 - 44*a = 0. What is a?
0, 2, 5, 11
Determine y, given that -4*y**3 + 12*y**2 + 16*y - 48 = 0.
-2, 2, 3
What is f in -3*f**3/5 - 174*f**2/5 - 501*f/5 - 66 = 0?
-55, -2, -1
Factor 3*d**4/8 + 51*d**3/4 + 759*d**2/8 - 459*d/2 + 243/2.
3*(d - 1)**2*(d + 18)**2/8
Determine h, given that 6*h**5/11 - 366*h**4/11 + 6108*h**3/11 - 16188*h**2/11 + 15486*h/11 - 5046/11 = 0.
1, 29
Factor -9*a**3/10 - 3239*a**2/10 - 29124*a + 3240.
-(a + 180)**2*(9*a - 1)/10
Suppose 20*i**2/7 - 2548*i - 3568/7 = 0. Calculate i.
-1/5, 892
Suppose 2*g**2/9 + 245*g/9 + 122/9 = 0. What is g?
-122, -1/2
Let -2*d**3 - 252*d**2 - 9408*d - 87808 = 0. What is d?
-56, -14
Find s, given that 2*s**4/5 - 46*s**3/5 + 214*s**2/5 - 34*s = 0.
0, 1, 5, 17
Factor -j**2/3 + 5860*j/3 - 8584900/3.
-(j - 2930)**2/3
Determine p, given that 2*p**5/15 - 132*p**4/5 + 392*p**3/15 + 132*p**2/5 - 394*p/15 = 0.
-1, 0, 1, 197
Factor 2*b**3/9 - 122*b**2/9 - 2*b/9 + 122/9.
2*(b - 61)*(b - 1)*(b + 1)/9
Factor -4*p**2 + 9576*p + 9580.
-4*(p - 2395)*(p + 1)
Factor -27*y**4 - 171*y**3 + 123*y**2 - 21*y.
-3*y*(y + 7)*(3*y - 1)**2
Factor 2*z**3 + 6*z**2 - 140*z.
2*z*(z - 7)*(z + 10)
Factor 10*a**2/9 - 106*a/9 - 44/9.
2*(a - 11)*(5*a + 2)/9
Let -2*x**3 + 8*x**2 - 6*x = 0. What is x?
0, 1, 3
Factor 3*q**4 - 132*q**3 + 1449*q**2 + 132*q - 1452.
3*(q - 22)**2*(q - 1)*(q + 1)
Factor l**5 - 9*l**4 - 2*l**3 + 18*l**2 + l - 9.
(l - 9)*(l - 1)**2*(l + 1)**2
Factor -2*m**2 - 2120*m - 561800.
-2*(m + 530)**2
Find f, given that f**2/8 + 25*f/8 - 27/4 = 0.
-27, 2
Suppose 5*t**5 + 25*t**4 - 30*t**3 - 110*t**2 + 185*t - 75 = 0. Calculate t.
-5, -3, 1
Let h**3/3 - 10*h**2 - 31*h/3 = 0. What is h?
-1, 0, 31
Find d such that -2*d**4 + 6*d**3 - 8*d = 0.
-1, 0, 2
Factor -9*q**3/2 + 163*q**2 + 261*q/2 - 37.
-(q - 37)*(q + 1)*(9*q - 2)/2
Factor -5*n**2 - 5*n + 30.
-5*(n - 2)*(n + 3)
Factor h**2/3 + 1700*h/3 + 1699/3.
(h + 1)*(h + 1699)/3
Factor 3*w**2/2 - 1101*w/2 - 552.
3*(w - 368)*(w + 1)/2
Let 2*t**5 + 144*t**4 + 2592*t**3 = 0. Calculate t.
-36, 0
Factor 5*v**4 + 360*v**3 + 3065*v**2 - 143190*v - 295840.
5*(v - 16)*(v + 2)*(v + 43)**2
Factor -y**4/6 - 43*y**3/6 + y**2/2 + 131*y/6 + 43/3.
-(y - 2)*(y + 1)**2*(y + 43)/6
Factor -5*p**3 + 675*p**2 - 5035*p - 5715.
-5*(p - 127)*(p - 9)*(p + 1)
Let 100*x**3 - 120320*x**2 - 96304*x - 19264 = 0. What is x?
-2/5, 1204
Determine b so that -2*b**4/7 - 30*b**3/7 + 32*b**2/7 = 0.
-16, 0, 1
Determine t, given that -2*t**2 - 252*t - 496 = 0.
-124, -2
Let 5*h**3 + 270*h**2 - 275*h = 0. What is h?
-55, 0, 1
Determine l so that -30*l**4/11 + 634*l**3/11 - 4494*l**2/11 + 10878*l/11 - 1372/11 = 0.
2/15, 7
Let -2*t**3/9 + 106*t**2/9 - 808*t/9 + 704/9 = 0. Calculate t.
1, 8, 44
Factor -4*l**2 + 580*l + 1176.
-4*(l - 147)*(l + 2)
Factor -h**2/9 - h/9 + 20/9.
-(h - 4)*(h + 5)/9
Determine s, given that -3*s**5 + 132*s**4 - 255*s**3 + 126*s**2 = 0.
0, 1, 42
Factor -h**3/3 - 14*h**2 + 704*h + 89056/3.
-(h - 46)*(h + 44)**2/3
Factor -2*t**2/13 - 300*t/13.
-2*t*(t + 150)/13
Find s, given that -s**2 - 207*s + 1278 = 0.
-213, 6
Factor -3*p**3/4 + 39*p**2.
-3*p**2*(p - 52)/4
Factor -3*p**2 - 169*p/2 - 14.
-(p + 28)*(6*p + 1)/2
Determine m so that m**5/4 - 20*m**3 + 195*m**2/2 - 641*m/4 + 165/2 = 0.
-11, 1, 2, 3, 5
Factor 4*c**4/3 - 4544*c**3/3 + 573048*c**2 - 216036064*c/3 - 217759756/3.
4*(c - 379)**3*(c + 1)/3
Factor 2*g**2/7 + 418*g/7 - 7200/7.
2*(g - 16)*(g + 225)/7
Factor t**4 + 493*t**3 - 3*t**2 - 1477*t + 986.
(t - 1)**2*(t + 2)*(t + 493)
What is j in 4*j**3/5 - 77*j**2 + 476*j/5 - 19 = 0?
1/4, 1, 95
Determine c, given that c**3 - 294*c**2 + 28812*c - 941192 = 0.
98
Factor -c**3 - 31*c**2 - 235*c - 525.
-(c + 5)**2*(c + 21)
Determine a, given that -3*a**5/5 + 147*a**4/5 - 1569*a**3/5 - 5619*a**2/5 - 5928*a/5 - 2028/5 = 0.
-1, 26
Suppose -3*t**2/5 - 282*t/5 - 267 = 0. What is t?
-89, -5
Factor 2*l**3 - 24*l**2 + 58*l - 36.
2*(l - 9)*(l - 2)*(l - 1)
Factor 2*g**4/5 + 4*g**3 + 34*g**2/5 - 56*g/5.
2*g*(g - 1)*(g + 4)*(g + 7)/5
Solve 14*a**5/11 + 38*a**4/11 + 16*a**3/11 - 8*a**2/11 = 0 for a.
-2, -1, 0, 2/7
Let 6*p**5 + 39*p**4/2 + 21*p**3/2 - 33*p**2/2 - 33*p/2 - 3 = 0. What is p?
-2, -1, -1/4, 1
Solve -3*g**3/2 + 107*g**2/2 + 18*g = 0.
-1/3, 0, 36
Factor -i**5/4 + 6*i**3 + 31*i**2/2 + 57*i/4 + 9/2.
-(i - 6)*(i + 1)**3*(i + 3)/4
Factor 4*u**3/7 + 16*u**2/7 - 20*u/7.
4*u*(u - 1)*(u + 5)/7
Factor -2*a**3/5 - 12*a**2/5 + 128*a/5 - 192/5.
-2*(a - 4)*(a - 2)*(a + 12)/5
Determine n, given that n**5 + 1682*n**4 + 705597*n**3 - 1416244*n**2 + 708964*n = 0.
-842, 0, 1
Factor p**3/7 + 944*p**2/7 + 220884*p/7 - 898704/7.
(p - 4)*(p + 474)**2/7
Factor -2*n**3/5 + 18*n**2/5 + 4*n.
-2*n*(n - 10)*(n + 1)/5
Solve -3*q**2/8 - 2553*q/4 - 5103/8 = 0 for q.
-1701, -1
Suppose -5*y**5 - 40*y**4 + 240*y**3 - 80*y**2 - 880*y + 960 = 0. What is y?
-12, -2, 2
Let -75*g**3 + 80*g**2 - 5*g = 0. Calculate g.
0, 1/15, 1
Factor 5*r**3 + 160*r**2 + 1280*r.
5*r*(r + 16)**2
Determine p, given that -2*p**4/7 + 48*p**3/7 + 6*p**2/7 - 20*p - 96/7 = 0.
-1, 2, 24
Find m, given that 128*m**4 + 352*m**3 + 210*m**2 + 36*m = 0.
-2, -3/8, 0
Factor v**4/8 - 3*v**3 + 51*v**2/4 - 17*v + 57/8.
(v - 19)*(v - 3)*(v - 1)**2/8
Factor 4*j**4 + 32*j**3 - 176*j**2 + 192*j.
4*j*(j - 2)**2*(j + 12)
Factor 2*i**4/3 - 64*i**3/3 + 512*i**2/3.
2*i**2*(i - 16)**2/3
Let -2*i**2 - 216*i - 832 = 0. Calculate i.
-104, -4
Factor -u**2/3 - 292*u/3 - 572.
-(u + 6)*(u + 286)/3
Suppose -10*v*