 -3*v**2 + 1350*v - 151875.
-3*(v - 225)**2
Find z such that 10*z**5/17 + 84*z**4/17 - 58*z**3/17 - 36*z**2/17 = 0.
-9, -2/5, 0, 1
Factor -5*o**3 + 20*o**2 + 960*o.
-5*o*(o - 16)*(o + 12)
Factor 5*v**2/4 - 13*v/4 - 3/2.
(v - 3)*(5*v + 2)/4
Find g such that -2*g**4/13 - 14*g**3/13 - 12*g**2/13 + 56*g/13 + 80/13 = 0.
-5, -2, 2
What is w in 3*w**3 - 219*w**2 - 2415*w - 6225 = 0?
-5, 83
Factor -q**4 + 264*q**3 - 26136*q**2 + 1149984*q - 18974736.
-(q - 66)**4
Determine v, given that 5*v**4/3 - v**3/3 = 0.
0, 1/5
Factor 2*g**2/13 + 44*g/13 - 16.
2*(g - 4)*(g + 26)/13
Factor 2*h**4/9 + 4*h**3/9 - 10*h**2/3.
2*h**2*(h - 3)*(h + 5)/9
Factor 3*c**2 - 942*c + 73947.
3*(c - 157)**2
Factor 2*b**2/3 + 274*b/3 - 556/3.
2*(b - 2)*(b + 139)/3
Determine v so that -19*v**3 - 113*v**2/2 - 73*v/2 + 1 = 0.
-2, -1, 1/38
Let -2*f**5/3 + 28*f**4/3 + 10*f**3 = 0. What is f?
-1, 0, 15
Factor -2*j**2/9 - 9704*j/9 - 11770952/9.
-2*(j + 2426)**2/9
Find c, given that -2*c**2 + 8*c + 154 = 0.
-7, 11
Factor -3*k**3 + 168*k**2 - 1269*k.
-3*k*(k - 47)*(k - 9)
Find k, given that 20*k**4/7 + 44*k**3/7 - 212*k**2/7 - 284*k/7 - 48/7 = 0.
-4, -1, -1/5, 3
Suppose -3*g**3/4 + 21*g**2 - 39*g = 0. Calculate g.
0, 2, 26
Find z, given that 4*z**2 + 16*z - 20 = 0.
-5, 1
Find z such that -29*z**2/5 + 404*z/5 + 28/5 = 0.
-2/29, 14
Find p such that -p**5/2 + p**4/2 + 3*p**3/2 - 5*p**2/2 + p = 0.
-2, 0, 1
Factor -t**3/3 - 13*t**2 - 38*t/3.
-t*(t + 1)*(t + 38)/3
Factor -k**2/2 + 621*k/2 + 623.
-(k - 623)*(k + 2)/2
Factor -2*c**3/5 - 384*c**2/5.
-2*c**2*(c + 192)/5
What is o in 9*o**5/4 + 33*o**4/4 + 37*o**3/4 + 15*o**2/4 + o/2 = 0?
-2, -1, -1/3, 0
Let y**4/3 - 4*y**3/3 - 2*y**2 + 4*y/3 + 5/3 = 0. What is y?
-1, 1, 5
Let 2*h**4 + 2*h**3 - 2*h**2 - 2*h = 0. Calculate h.
-1, 0, 1
Suppose -p**4 + 15*p**3 - 74*p**2 + 132*p - 72 = 0. Calculate p.
1, 2, 6
Factor k**2 - 504*k + 503.
(k - 503)*(k - 1)
Factor v**4 + 5*v**3 - 3*v**2 - 17*v - 10.
(v - 2)*(v + 1)**2*(v + 5)
Factor 2*t**3/9 - 28*t**2/3 + 392*t/3 - 5488/9.
2*(t - 14)**3/9
Determine m so that 2*m**2/3 - 136*m + 6936 = 0.
102
Determine r, given that -4*r**3 + 20*r**2 + 228*r + 396 = 0.
-3, 11
Solve -15*l**4 + 10*l**3 + 45*l**2 - 20 = 0 for l.
-1, 2/3, 2
Find h such that -2*h**2/11 + 172*h/11 - 3698/11 = 0.
43
Solve -4*x**2 + 188*x = 0.
0, 47
Factor z**4 - 24*z**3 + 119*z**2 + 144*z.
z*(z - 16)*(z - 9)*(z + 1)
Factor 2*n**4 - 52*n**3 - 296*n**2 - 428*n - 186.
2*(n - 31)*(n + 1)**2*(n + 3)
Let -4*g**2 + 1496*g = 0. What is g?
0, 374
Suppose -2*l**4 + 27*l**3/2 - 17*l**2/2 - 3*l = 0. What is l?
-1/4, 0, 1, 6
Solve 11907*d**2/4 - 378*d + 12 = 0 for d.
4/63
Factor d**2/3 - 46*d/3 + 160.
(d - 30)*(d - 16)/3
What is c in 4*c**5 - 44*c**4/3 + 8*c**3/3 + 56*c**2/3 - 20*c/3 - 4 = 0?
-1, -1/3, 1, 3
Factor 3*u**3/5 + 39*u**2/5 + 108*u/5.
3*u*(u + 4)*(u + 9)/5
Factor -5*b**3 - 1915*b**2 - 7600*b - 7580.
-5*(b + 2)**2*(b + 379)
Find i such that -4*i**2 - 72*i = 0.
-18, 0
Find o such that -6*o**4/11 + 96*o**3/11 + 324*o**2/11 + 336*o/11 + 114/11 = 0.
-1, 19
Factor 4*r**2/3 + 1076*r/3 - 360.
4*(r - 1)*(r + 270)/3
Factor -2*k**5/7 + 36*k**4/7 - 258*k**3/7 + 920*k**2/7 - 1632*k/7 + 1152/7.
-2*(k - 4)**3*(k - 3)**2/7
Factor -d**2/3 - 73*d/3 + 308/3.
-(d - 4)*(d + 77)/3
Factor -125*w**3/2 + 5425*w**2/2 - 2155*w/2 + 215/2.
-5*(w - 43)*(5*w - 1)**2/2
Factor q**2/3 + 170*q/3 + 583.
(q + 11)*(q + 159)/3
Determine t so that 14792*t**5 - 31906*t**4 + 19124*t**3 - 1706*t**2 - 296*t - 8 = 0.
-2/43, 1/4, 1
Suppose -4*a**3/7 + 120*a**2/7 + 436*a/7 - 1320/7 = 0. Calculate a.
-5, 2, 33
Factor 2*w**2/7 + 112*w - 786/7.
2*(w - 1)*(w + 393)/7
Find w, given that 2*w**4/7 + 3900*w**3/7 + 1897346*w**2/7 - 3806400*w/7 + 1905152/7 = 0.
-976, 1
Factor -u**3/7 + 750*u**2/7.
-u**2*(u - 750)/7
Find m such that -4*m**5 + 220*m**4 + 1772*m**3 - 2204*m**2 - 1768*m + 1984 = 0.
-8, -1, 1, 62
Suppose o**4 - 60*o**3 + 1062*o**2 - 4860*o + 6561 = 0. What is o?
3, 27
Let -6*q**3 + 292*q**2/3 - 64*q/3 = 0. What is q?
0, 2/9, 16
Find v, given that 3*v**4/4 - 855*v**3/2 - 1713*v**2/4 = 0.
-1, 0, 571
Suppose 3*u**5/2 + 9*u**4/2 - 87*u**3/2 - 9*u**2/2 + 42*u = 0. Calculate u.
-7, -1, 0, 1, 4
Factor -g**2/3 - 104*g/3 - 2704/3.
-(g + 52)**2/3
Determine c so that c**5/6 - 55*c**4/6 + 524*c**3/3 - 3982*c**2/3 + 10480*c/3 - 8800/3 = 0.
2, 11, 20
Find n, given that 2*n**3/11 - 46*n**2/11 + 240*n/11 + 288/11 = 0.
-1, 12
Factor -264*r**2 + 105*r - 9.
-3*(8*r - 1)*(11*r - 3)
Solve 6*k**4/7 + 78*k**3 - 2250*k**2/7 + 2838*k/7 - 1140/7 = 0 for k.
-95, 1, 2
What is o in -5*o**5 - 5*o**4 + 15*o**3 + 5*o**2 - 10*o = 0?
-2, -1, 0, 1
Factor t**3/3 + 13*t**2/3 - 16*t/3 - 28/3.
(t - 2)*(t + 1)*(t + 14)/3
Solve k**4 - 4*k**3 - 12*k**2 + 32*k + 64 = 0 for k.
-2, 4
Find w such that 20*w**3 + 912*w**2 - 368*w = 0.
-46, 0, 2/5
Solve -5*t**5 - 5*t**4 = 0 for t.
-1, 0
Factor 98*r**4/19 + 224*r**3/19 + 58*r**2/19 + 4*r/19.
2*r*(r + 2)*(7*r + 1)**2/19
Find d, given that -15*d**3 - 710*d**2 + 480*d = 0.
-48, 0, 2/3
Let -35*l**4 - 360*l**3 - 905*l**2 - 720*l - 140 = 0. Calculate l.
-7, -2, -1, -2/7
Suppose w**4 - 12*w**3 + 36*w**2 = 0. Calculate w.
0, 6
Determine g so that -578*g**5 - 680*g**4 + 943*g**3/2 + 1351*g**2/2 + 213*g/2 + 9/2 = 0.
-1, -3/34, 1
What is d in 4*d**2/3 - 524*d/3 + 512 = 0?
3, 128
Find y, given that -y**5/7 - 22*y**4 + 157*y**3/7 + 310*y**2/7 = 0.
-155, -1, 0, 2
Factor -y**3 + 78*y**2 - 1440*y - 3200.
-(y - 40)**2*(y + 2)
Suppose -3*t**2 - 5700*t - 2707500 = 0. What is t?
-950
Determine g, given that 4*g**3/5 - 92*g**2 + 908*g/5 - 452/5 = 0.
1, 113
Factor 2*s**4/7 - 10*s**3/7 + 4*s**2/7 + 16*s/7.
2*s*(s - 4)*(s - 2)*(s + 1)/7
Factor 2*k**4/13 - 22*k**3/13 + 84*k**2/13 - 136*k/13 + 80/13.
2*(k - 5)*(k - 2)**3/13
What is p in -3*p**2 - 138*p - 1587 = 0?
-23
Suppose p**5 - 4*p**4 - 115*p**3 + 238*p**2 - 120*p = 0. What is p?
-10, 0, 1, 12
Factor -2*g**2/7 + 442*g/7 - 1308/7.
-2*(g - 218)*(g - 3)/7
Let 2*c**4/15 - 148*c**3/15 - 302*c**2/15 - 152*c/15 = 0. What is c?
-1, 0, 76
Determine m so that m**3/2 + 381*m**2/2 + 36099*m/2 - 36481/2 = 0.
-191, 1
Find s, given that -3*s**5/4 - 15*s**4/2 + 117*s**3/2 + 21*s**2 - 735*s/4 + 225/2 = 0.
-15, -2, 1, 5
Determine x so that -x**3/3 + 34*x**2/3 - 65*x/3 + 32/3 = 0.
1, 32
What is a in -35*a**4/6 + 19*a**3/3 - a**2/2 = 0?
0, 3/35, 1
Factor 5*k**2 - 4120*k.
5*k*(k - 824)
Find z such that -z**5/6 + 65*z**4/3 + 202*z**3/3 - 331*z**2/3 - 403*z/6 + 266/3 = 0.
-4, -1, 1, 133
Factor -2*n**2/7 + 1116*n/7 - 3330/7.
-2*(n - 555)*(n - 3)/7
Solve 2*r**3 + 38*r**2 + 240*r + 504 = 0.
-7, -6
What is o in -24*o**4 + 899*o**3/5 - 358*o**2/5 - 379*o/5 - 42/5 = 0?
-3/8, -2/15, 1, 7
What is r in 5*r**3 + 55*r**2 + 160*r + 140 = 0?
-7, -2
Factor -f**2/4 + 61*f/2 - 121/4.
-(f - 121)*(f - 1)/4
Find d such that d**3/3 - 52*d**2 - 1141*d/3 = 0.
-7, 0, 163
Determine r so that -2*r**3 - 566*r**2 - 39760*r + 40328 = 0.
-142, 1
What is s in 4*s**5 - 172*s**4 + 300*s**3 + 1228*s**2 - 3328*s + 1968 = 0?
-3, 1, 2, 41
Factor -k**3/5 - 17*k**2/5 - 66*k/5.
-k*(k + 6)*(k + 11)/5
Let 3*h**5 + 9*h**4 - 9*h**3 - 21*h**2 + 18*h = 0. What is h?
-3, -2, 0, 1
Determine f, given that -2*f**5 - 244*f**4 - 1182*f**3 - 1396*f**2 + 952*f + 1872 = 0.
-117, -2, 1
Determine j so that -2*j**4/7 - 2*j**3 - 10*j**2/7 + 2*j + 12/7 = 0.
-6, -1, 1
Factor 25*s**3/6 - 515*s**2/6 - 209*s/6 - 7/2.
(s - 21)*(5*s + 1)**2/6
Solve 3*z**3 - 3*z**2 = 0 for z.
0, 1
Suppose -2*w**4/9 - 8*w**3/9 + 2*w**2/9 + 8*w/9 = 0. Calculate w.
-4, -1, 0, 1
Factor -4*f**3 - 35*f**2/3 - 7*f + 2/3.
-(f + 1)*(f + 2)*(12*f - 1)/3
Factor 12*u**4 - 50223*u**3 + 70069455*u**2 - 32593972725*u + 8144114625.
3*(u - 1395)**3*(4*u - 1)
Factor -4*x**4 + 44*x**3 - 168*x**2 + 272*x - 160.
-4*(x - 5)*(x - 2)**3
Determine a, given that -5*a**2/6 + 11*a/3 - 4/3 = 0.
2/5, 4
Factor -2*l**4/11 + 472*l**3/11 + 1428*l**2/11 + 1432*l/11 + 478/11.
-2*(l - 239)*(l + 1)**3/11
Factor -c**4 - 7*c**3 - 5*c**2 + 7*c + 6.
-(c - 1)*(c + 1)**2*(c + 6)
Factor -2*u**3/11 - 56*u**2/11 - 520*u/11 - 1600/11.
-2*(u + 8)*(u + 10)**2/11
Let 8*g**2/3 - 22*g + 100/3 = 0. Calculate g.
2, 25/4
Factor u**3/10 + 232*u**2/5 + 26912*u/5.
u*(u + 232)**2/10
Find c such that -2*c**3 - 20*c**2 + 104*c - 112 = 0.
-14, 2
Factor -2*y**2 + 650*y + 1308.
-2*(y - 327)*(y + 2)
Let 6*g**4 + 15*g**3 - 3*g**2 