actor 2*v**2 + 212*v + 5618.
2*(v + 53)**2
Factor -3*k**4 - 27*k**3 - 45*k**2 + 75*k.
-3*k*(k - 1)*(k + 5)**2
Find g such that 3*g**2 - 84*g + 588 = 0.
14
Suppose -x**2 - 14*x = 0. What is x?
-14, 0
Let -s**4 - s**3 + 15*s**2 - 23*s + 10 = 0. Calculate s.
-5, 1, 2
Suppose -2*l**3/9 - 50*l**2/9 + 682*l/9 - 70 = 0. What is l?
-35, 1, 9
Suppose -r**3 - 4*r**2 = 0. Calculate r.
-4, 0
Find b such that -15*b**4 + 70*b**3 + 140*b**2 - 120*b = 0.
-2, 0, 2/3, 6
Suppose -d**4/4 + 29*d**3/2 + 156*d**2 - 709*d/2 + 737/4 = 0. What is d?
-11, 1, 67
Solve -4*p**3/7 + 12532*p**2/7 - 9809420*p/7 - 9821956/7 = 0 for p.
-1, 1567
Factor w**2/2 + 35*w/2 + 17.
(w + 1)*(w + 34)/2
Solve 2*g**5/7 + 4*g**4/7 - 12*g**3/7 - 8*g**2/7 + 26*g/7 - 12/7 = 0 for g.
-3, -2, 1
Let -n**3/2 - n**2/2 + 6*n = 0. What is n?
-4, 0, 3
Find b such that b**3/4 + 11*b**2/4 + 31*b/4 + 21/4 = 0.
-7, -3, -1
Factor 5*m**5 - 10*m**4 - 20*m**3 + 10*m**2 + 15*m.
5*m*(m - 3)*(m - 1)*(m + 1)**2
Factor 34*x**4/5 + 36*x**3/5 + 2*x**2/5.
2*x**2*(x + 1)*(17*x + 1)/5
Factor -3*x**3 - 18*x**2 + 216*x.
-3*x*(x - 6)*(x + 12)
Determine o, given that -3*o**2 - 300*o - 7500 = 0.
-50
Factor -4*m**3 + 188*m**2 + 392*m.
-4*m*(m - 49)*(m + 2)
Suppose -4*m**2 + 260*m - 256 = 0. Calculate m.
1, 64
Suppose -9*s**3/7 - 3*s**2/7 = 0. Calculate s.
-1/3, 0
Factor -u**2/3 + 12146*u/3 - 36881329/3.
-(u - 6073)**2/3
Let -p**2/2 - 279*p - 77841/2 = 0. What is p?
-279
Factor -6*l**2/7 - 12*l/7 - 6/7.
-6*(l + 1)**2/7
Determine u, given that u**5/4 - 5*u**4/2 - 3*u**3/4 + 35*u**2 + 49*u = 0.
-2, 0, 7
Find d, given that -12*d**2/5 + 706*d/5 + 118/5 = 0.
-1/6, 59
Determine k, given that k**2 - 34*k - 72 = 0.
-2, 36
Let 2*x**5/3 + 8*x**4 - 28*x**3/3 - 8*x**2 + 26*x/3 = 0. Calculate x.
-13, -1, 0, 1
Solve -i**2/8 + 25*i/8 + 21/2 = 0.
-3, 28
Find m such that -3*m**5 + 19*m**4 - 19*m**3 - 7*m**2 + 10*m = 0.
-2/3, 0, 1, 5
Factor s**2/2 + 6*s - 133/2.
(s - 7)*(s + 19)/2
Factor n**2 + 73*n/9 - 572/9.
(n + 13)*(9*n - 44)/9
Let 6*c**5/11 - 48*c**4/11 + 12*c**3 - 144*c**2/11 + 54*c/11 = 0. Calculate c.
0, 1, 3
Factor -5*v**3 + 20*v**2 + 355*v + 330.
-5*(v - 11)*(v + 1)*(v + 6)
Factor -98*q**3/5 + 238*q**2/5 + 32*q + 24/5.
-2*(q - 3)*(7*q + 2)**2/5
Let -27*q**3 + 90*q**2/7 + 87*q/7 + 12/7 = 0. Calculate q.
-1/3, -4/21, 1
Factor -3*p**2 + 336*p + 339.
-3*(p - 113)*(p + 1)
Factor -3*p**5/2 + 27*p**4/2 - 48*p**3 + 84*p**2 - 72*p + 24.
-3*(p - 2)**4*(p - 1)/2
Factor -s**4/7 + 2*s**3/7 + 12*s**2/7 - 40*s/7 + 32/7.
-(s - 2)**3*(s + 4)/7
Let -2*x**3 - 6*x**2 - 6*x - 2 = 0. Calculate x.
-1
Factor 5*n**2 - 1800*n + 162000.
5*(n - 180)**2
Factor -75*n**3 + 5*n**2 + 115*n + 35.
-5*(n + 1)*(3*n + 1)*(5*n - 7)
Find m such that 3*m**3 - 183*m**2 + 354*m = 0.
0, 2, 59
Determine f, given that 4*f**4 - 1632*f**3 + 166464*f**2 = 0.
0, 204
Factor 15*m**4 - 80*m**3 + 85*m**2 - 20*m.
5*m*(m - 4)*(m - 1)*(3*m - 1)
Factor -c**2/6 - 101*c/2 + 152/3.
-(c - 1)*(c + 304)/6
Factor a**4 - 3*a**3 + 4*a.
a*(a - 2)**2*(a + 1)
Factor h**2/2 - 212*h + 423/2.
(h - 423)*(h - 1)/2
Suppose 2*f**2/15 + 4*f/5 + 2/3 = 0. What is f?
-5, -1
Find j such that -18*j**5/13 - 6*j**4 + 178*j**3/13 - 2*j**2 - 80*j/13 + 24/13 = 0.
-6, -2/3, 1/3, 1
Factor -5*n**3 - 80*n**2.
-5*n**2*(n + 16)
Let v**5 - 7*v**4 + 12*v**3 = 0. Calculate v.
0, 3, 4
Factor 2*p**3 + 38*p**2/5 + 32*p/5 - 8/5.
2*(p + 2)**2*(5*p - 1)/5
Factor -3*h**3 + 21*h**2 + 207*h + 351.
-3*(h - 13)*(h + 3)**2
What is x in 5*x**4 - 125*x**3 + 540*x**2 - 820*x + 400 = 0?
1, 2, 20
Factor -2*f**2/9 + 58*f/9 - 56/9.
-2*(f - 28)*(f - 1)/9
What is o in 3*o**2 - 2568*o + 549552 = 0?
428
Factor 31*n**3/5 + 2044*n**2/5 + 3836*n/5 - 256/5.
(n + 2)*(n + 64)*(31*n - 2)/5
Solve -2*u**5 - 8*u**4 + 384*u**3 + 4460*u**2 + 18050*u + 25500 = 0 for u.
-6, -5, 17
Suppose 10*o**5/17 + 124*o**4/17 - 6*o**3 - 320*o**2/17 - 104*o/17 = 0. What is o?
-13, -1, -2/5, 0, 2
Factor 5*s**4 - 95*s**3 + 360*s**2 + 2240*s - 12800.
5*(s - 8)**3*(s + 5)
Determine w, given that -3*w**2 - 267*w + 546 = 0.
-91, 2
Factor 3*p**4 + 3*p**3 - 27*p**2 - 27*p.
3*p*(p - 3)*(p + 1)*(p + 3)
Find x such that 1911*x**3/5 - 2436*x**2/5 - 372*x - 288/5 = 0.
-2/7, 24/13
Find p such that 4*p**2 + 232*p + 228 = 0.
-57, -1
Find r such that r**2 + 1810*r/3 + 201 = 0.
-603, -1/3
Suppose -16*m**2 - 2756*m - 3420 = 0. Calculate m.
-171, -5/4
Factor -3*d**4 - 3*d**3 + 18*d**2.
-3*d**2*(d - 2)*(d + 3)
Suppose -3*i**5/2 + 2*i**4 + 5*i**3/2 - i**2 = 0. Calculate i.
-1, 0, 1/3, 2
Suppose 2*l**4/17 + 20*l**3/17 + 56*l**2/17 + 48*l/17 = 0. What is l?
-6, -2, 0
Factor k**2/4 + 29*k/4 + 25.
(k + 4)*(k + 25)/4
Factor -2*q**2/9 + 41836*q/9 - 218781362/9.
-2*(q - 10459)**2/9
Factor v**4/7 - 15*v**3/7 + 36*v**2/7.
v**2*(v - 12)*(v - 3)/7
Solve 2*i**4/3 - 18*i**3 + 34*i**2 - 50*i/3 = 0 for i.
0, 1, 25
Factor 34*w**5 + 196*w**4 + 6128*w**3/17 + 3040*w**2/17 - 992*w/17 + 64/17.
2*(w + 2)**3*(17*w - 2)**2/17
Find f, given that 14*f**4/11 - 8*f**3 + 136*f**2/11 - 32*f/11 = 0.
0, 2/7, 2, 4
Solve -2*p**3/5 - 32*p**2 - 1006*p/5 + 1168/5 = 0 for p.
-73, -8, 1
Let 3*m**3 - 63*m**2 = 0. What is m?
0, 21
Factor 2*v**4 - 10*v**3 + 6*v**2 + 10*v - 8.
2*(v - 4)*(v - 1)**2*(v + 1)
Factor 28*c**3 + 110*c**2 + 104*c - 8.
2*(c + 2)**2*(14*c - 1)
Factor 6*w**3 + 51*w**2 + 15*w - 72.
3*(w - 1)*(w + 8)*(2*w + 3)
Solve 3*o**4 - 504*o**3 + 21666*o**2 - 41832*o + 20667 = 0.
1, 83
Suppose -u**4 + 6*u**3 - 32*u = 0. Calculate u.
-2, 0, 4
Factor -t**2/3 - 218*t/3 - 11881/3.
-(t + 109)**2/3
Factor 2*b**4/3 - 8*b**3 - 2*b**2/3 + 8*b.
2*b*(b - 12)*(b - 1)*(b + 1)/3
Let -4*k**2 + 1800*k - 202500 = 0. What is k?
225
Solve j**3 + 18*j**2 - 63*j = 0.
-21, 0, 3
Suppose -d**4/4 + 5*d**3/2 - 17*d**2/4 + 2*d = 0. What is d?
0, 1, 8
Let r**3/3 - r/3 = 0. What is r?
-1, 0, 1
Factor -2*s**2/3 + 76*s - 2166.
-2*(s - 57)**2/3
Find r, given that 25*r**4 - 323*r**3 + 824*r**2 + 1268*r + 96 = 0.
-1, -2/25, 6, 8
Factor -2*s**4/3 + 134*s**3/3 + 138*s**2 + 418*s/3 + 140/3.
-2*(s - 70)*(s + 1)**3/3
Factor 5*v**4 - 155*v**3 - 3315*v**2 - 6145*v - 2990.
5*(v - 46)*(v + 1)**2*(v + 13)
Factor h**4 - 15*h**3/4 - h**2.
h**2*(h - 4)*(4*h + 1)/4
Factor -2*k**4/9 - 16*k**3/9 - 10*k**2/3.
-2*k**2*(k + 3)*(k + 5)/9
Find q such that -q**5/3 + 37*q**3/3 + 28*q**2 = 0.
-4, -3, 0, 7
Determine f, given that 3*f**2/4 - 1431*f/2 + 682587/4 = 0.
477
Factor 4*s**5 - 4*s**4.
4*s**4*(s - 1)
Find b, given that 4*b**2/5 - 2868*b/5 + 2864/5 = 0.
1, 716
Find n, given that -4*n**2 + 20*n + 96 = 0.
-3, 8
Factor -2*p**3/5 + 18*p**2/5.
-2*p**2*(p - 9)/5
Factor -b**2/11 - 69*b/11 + 142/11.
-(b - 2)*(b + 71)/11
Let -17*g**4/3 - 5*g**3 + 19*g**2/3 + 5*g - 2/3 = 0. Calculate g.
-1, 2/17, 1
Determine n, given that 2*n**2/9 + 4*n/9 = 0.
-2, 0
Suppose 6*q**5/11 - 90*q**4/11 + 78*q**3/11 + 90*q**2/11 - 84*q/11 = 0. Calculate q.
-1, 0, 1, 14
Find p, given that -2*p**3/3 - 74*p**2/3 + 54*p + 78 = 0.
-39, -1, 3
What is c in 3*c**3/4 - 21*c**2 + 39*c = 0?
0, 2, 26
Factor 2*p**3/13 - 484*p**2/13 - 2958*p/13 - 4464/13.
2*(p - 248)*(p + 3)**2/13
Factor -4*x**5 + 280*x**4 - 1072*x**3 + 1056*x**2.
-4*x**2*(x - 66)*(x - 2)**2
Factor 15*f**3 + 114*f**2 + 63*f.
3*f*(f + 7)*(5*f + 3)
What is c in -146*c**5/5 + 726*c**4/5 - 1294*c**3/5 + 986*c**2/5 - 264*c/5 - 8/5 = 0?
-2/73, 1, 2
Suppose 20*t**2/3 + 38*t/3 - 4/3 = 0. Calculate t.
-2, 1/10
Factor -t**2/2 - 2595*t - 6734025/2.
-(t + 2595)**2/2
Factor b**2/5 - 479*b/5.
b*(b - 479)/5
Factor -f**4 - f**3 + 4*f**2 + 4*f.
-f*(f - 2)*(f + 1)*(f + 2)
Let s**3/4 + 21*s**2/4 - 45*s/4 + 23/4 = 0. What is s?
-23, 1
Factor g**4/5 - 26*g**3/5 + 23*g**2/5 + 10*g.
g*(g - 25)*(g - 2)*(g + 1)/5
Factor 5*y**4/7 + 9*y**3 + 214*y**2/7 + 12*y - 72/7.
(y + 1)*(y + 6)**2*(5*y - 2)/7
Find v such that -v**5/10 - 7*v**4/10 + 2*v**3/5 + 26*v**2/5 - 24*v/5 = 0.
-6, -4, 0, 1, 2
Solve y**4/4 + 7*y**3 + 36*y**2 + 68*y + 44 = 0.
-22, -2
Let 4*s**4/3 - 40*s**3 + 292*s**2 - 760*s/3 = 0. Calculate s.
0, 1, 10, 19
Suppose 6*g**3 + 15*g**2 - 150*g - 375 = 0. Calculate g.
-5, -5/2, 5
Suppose 5*y**2 - 75*y + 70 = 0. What is y?
1, 14
Find v such that -v**2/2 - 66*v + 133/2 = 0.
-133, 1
Solve 21*k**4 - 351*k**3 + 1221*k**2 + 2079*k + 486 = 0 for k.
-1, -2/7, 9
Let -r**2/3 - 88*r/3 + 60 = 0. Calculate r.
-90, 2
Let x**5/5 - 21*x**4/5 + 39*x**3/5 - 19*x**2/5 = 0. What is x?
0, 1, 19
Solve -4