hat -4*t**2 + 1728*t - 186624 = 0.
216
Let b**2 + 79*b = 0. What is b?
-79, 0
Suppose d**3/3 - 131*d**2/3 - 265*d/3 - 133/3 = 0. Calculate d.
-1, 133
Factor -5*q**3 - 35*q**2 + 100*q + 480.
-5*(q - 4)*(q + 3)*(q + 8)
Factor 3*w**2 + 30*w - 693.
3*(w - 11)*(w + 21)
Find m such that -2*m**2 + 62*m - 336 = 0.
7, 24
Let 3*b**2/4 + 33*b/2 = 0. What is b?
-22, 0
Factor -2*w**3/5 + 26*w**2/5 + 296*w/5 - 64.
-2*(w - 20)*(w - 1)*(w + 8)/5
Factor 4*w**4/5 - 274*w**3/5 + 952*w**2 - 2312*w/5.
2*w*(w - 34)**2*(2*w - 1)/5
Determine k, given that 242*k**5/7 - 902*k**4/7 - 408*k**3/7 + 608*k**2/7 - 128*k/7 = 0.
-1, 0, 4/11, 4
Determine j, given that 5*j**4 - 50*j**3 + 65*j**2 + 300*j + 180 = 0.
-1, 6
What is j in -10*j**2/3 - 74*j/3 + 16 = 0?
-8, 3/5
Suppose 4*f**4 - 32*f**3 - 76*f**2 - 40*f = 0. What is f?
-1, 0, 10
Determine r, given that -2*r**4/7 + 18*r**3/7 + 2*r**2/7 - 18*r/7 = 0.
-1, 0, 1, 9
Factor 3*q**3/7 - 33*q**2/7 + 96*q/7 - 12.
3*(q - 7)*(q - 2)**2/7
Factor -3*i**2/5 + 1122*i/5 + 225.
-3*(i - 375)*(i + 1)/5
Suppose 3*z**4/2 + 75*z**3/2 - 165*z**2/2 - 75*z/2 + 81 = 0. Calculate z.
-27, -1, 1, 2
Find o, given that 2*o**2/13 + 10*o/13 + 12/13 = 0.
-3, -2
Factor -5*p**3 - 220*p**2 - 995*p - 780.
-5*(p + 1)*(p + 4)*(p + 39)
Determine p, given that -14*p**4/5 + 54*p**3/5 - 36*p**2/5 - 56*p/5 + 48/5 = 0.
-1, 6/7, 2
Solve -2*l**5/9 - 4*l**4/9 + 20*l**3/9 + 40*l**2/9 - 2*l - 4 = 0.
-3, -2, -1, 1, 3
Factor -3*c**4/5 - 18*c**3/5 + 141*c**2/5 + 504*c/5 - 2352/5.
-3*(c - 4)**2*(c + 7)**2/5
Factor 2025*j**2 + 720*j + 64.
(45*j + 8)**2
What is c in c**5/6 - 5*c**3/6 + 2*c/3 = 0?
-2, -1, 0, 1, 2
Factor 5*g**2 - 85*g + 150.
5*(g - 15)*(g - 2)
Let -5*x**3 + 20*x**2 + 185*x - 200 = 0. Calculate x.
-5, 1, 8
Find r such that -r**3/4 - 33*r**2 - 1452*r - 21296 = 0.
-44
Suppose -6*z**3 + 484*z**2 - 4806*z - 1656 = 0. Calculate z.
-1/3, 12, 69
Solve -4*f**5 - 416*f**4 - 1212*f**3 + 16*f**2 + 1616*f = 0 for f.
-101, -2, 0, 1
Factor 3*r**2/2 + 156*r + 4056.
3*(r + 52)**2/2
Factor -4*h**3 - 1700*h**2 + 3412*h - 1708.
-4*(h - 1)**2*(h + 427)
Solve 2*u**2/11 + 16*u/11 - 2146/11 = 0 for u.
-37, 29
Factor 2*z**3 - 134*z**2 + 132*z.
2*z*(z - 66)*(z - 1)
Factor 2*i**2/7 - 2*i/7 - 24/7.
2*(i - 4)*(i + 3)/7
Factor 5*s**3/2 - 10*s.
5*s*(s - 2)*(s + 2)/2
Factor 70*f**2 + 435*f + 90.
5*(f + 6)*(14*f + 3)
Determine n, given that 125*n**3/4 + 1325*n**2/6 + 375*n - 54 = 0.
-18/5, 2/15
Factor -2*m**3/13 + 12*m**2/13.
-2*m**2*(m - 6)/13
Factor 28*b**4 - 404*b**3 + 168*b**2.
4*b**2*(b - 14)*(7*b - 3)
Factor -22*g**3 + 39*g**2/5 + 2*g/5.
-g*(5*g - 2)*(22*g + 1)/5
Factor 10*l**4/7 - 18*l**3/7 - 4*l**2/7.
2*l**2*(l - 2)*(5*l + 1)/7
Factor 2*k**3 - 30*k**2 + 94*k - 66.
2*(k - 11)*(k - 3)*(k - 1)
Factor b**3 - 22*b**2 - 47*b - 24.
(b - 24)*(b + 1)**2
Factor 2*u**2/5 + 12*u/5 - 14/5.
2*(u - 1)*(u + 7)/5
Find p, given that -2*p**4 - 12*p**3 = 0.
-6, 0
Factor -3*u**4 + 4551*u**3 - 1728240*u**2 + 1723692*u.
-3*u*(u - 758)**2*(u - 1)
Factor -5*o**3 - 195*o**2 - 2295*o - 7225.
-5*(o + 5)*(o + 17)**2
Factor -4*b**2 - 388*b + 392.
-4*(b - 1)*(b + 98)
Let -60*w**5 + 328*w**4 - 612*w**3 + 424*w**2 - 48*w - 32 = 0. Calculate w.
-1/5, 2/3, 1, 2
Suppose -i**3/2 + 60*i**2 + 747*i/2 + 567 = 0. What is i?
-3, 126
Factor -3*l**3 - 240*l**2 + 243*l.
-3*l*(l - 1)*(l + 81)
Find s such that 2*s**3 - 38*s**2 - 2*s + 38 = 0.
-1, 1, 19
Factor -3*q**3 - 66*q**2 - 363*q.
-3*q*(q + 11)**2
Solve -3*f**5/2 + 279*f**4 - 17298*f**3 + 357492*f**2 = 0 for f.
0, 62
Factor -j**5/9 - 5*j**4/9 - 4*j**3/9 + 16*j**2/9 + 32*j/9 + 16/9.
-(j - 2)*(j + 1)*(j + 2)**3/9
What is q in q**4/2 - 125*q**3 - 759*q**2/2 - 2*q + 506 = 0?
-2, 1, 253
What is n in -28*n**5 + 642*n**4 - 550*n**3 - 510*n**2 + 578*n - 132 = 0?
-1, 3/7, 1/2, 1, 22
Factor -5*c**2 + 15370*c - 11811845.
-5*(c - 1537)**2
Factor 9*t**3 - 53*t**2 + 39*t + 5.
(t - 5)*(t - 1)*(9*t + 1)
Factor t**2/5 - 4*t + 19/5.
(t - 19)*(t - 1)/5
Find p such that 3*p**5/4 - 9*p**4/4 - 3*p**3 + 12*p**2 - 12 = 0.
-2, -1, 2
Factor -2*l**3/5 - 26*l**2 + 2*l/5 + 26.
-2*(l - 1)*(l + 1)*(l + 65)/5
Suppose -2*w**3/9 - 58*w**2 - 11440*w/3 - 33800/9 = 0. What is w?
-130, -1
Solve 3*h**4 + 24*h**3 - 3*h**2 - 24*h = 0 for h.
-8, -1, 0, 1
Factor 2*i**4/7 + 104*i**3/7 + 1836*i**2/7 + 11560*i/7 + 9826/7.
2*(i + 1)*(i + 17)**3/7
Factor 3*l**2 - 111*l + 108.
3*(l - 36)*(l - 1)
Find t such that -t**2/5 - 539*t/5 + 1082/5 = 0.
-541, 2
Factor 55*l**2 + 1200*l - 220.
5*(l + 22)*(11*l - 2)
Solve 2*m**4/11 - 102*m**3/11 - 1026*m**2/11 - 3186*m/11 - 3240/11 = 0.
-3, 60
What is b in -3*b**4/2 + 87*b**3/8 + 75*b**2/8 - 3*b = 0?
-1, 0, 1/4, 8
Factor -2*w**4/9 + 2*w**3/3 + 20*w**2/9.
-2*w**2*(w - 5)*(w + 2)/9
Factor 324*g**4 + 5856*g**3 + 240088*g**2/9 + 1952*g + 36.
4*(g + 9)**2*(27*g + 1)**2/9
Factor -3*d**4 - 30*d**3 - 72*d**2 + 30*d + 75.
-3*(d - 1)*(d + 1)*(d + 5)**2
Determine j so that 8*j**5 - 14*j**4 - 28*j**3 + 58*j**2 - 16*j - 8 = 0.
-2, -1/4, 1, 2
Solve -w**2 - 82*w + 255 = 0 for w.
-85, 3
Factor -t**2 + 49*t.
-t*(t - 49)
Suppose u**2 - 326*u + 26569 = 0. What is u?
163
Let 6*j**4 + 2*j**3/5 - 12*j**2 - 32*j/5 = 0. What is j?
-1, -2/3, 0, 8/5
What is p in 5*p**3 + 705*p**2 - 8310*p + 7600 = 0?
-152, 1, 10
Solve -2*j**2 + 32*j - 56 = 0 for j.
2, 14
Determine g so that -2*g**4/3 - 10*g**3/3 + 28*g**2 - 152*g/3 + 80/3 = 0.
-10, 1, 2
Factor 2*k**2 - 202*k + 4736.
2*(k - 64)*(k - 37)
Solve u**2 + 8*u + 7 = 0 for u.
-7, -1
Factor 2*l**5 - 4*l**4 - 14*l**3 - 8*l**2.
2*l**2*(l - 4)*(l + 1)**2
Solve 3*r**5/7 + 243*r**4/7 + 465*r**3/7 - 723*r**2/7 - 936*r/7 + 948/7 = 0 for r.
-79, -2, 1
Factor 3*w**2/7 + 24*w/7 - 195/7.
3*(w - 5)*(w + 13)/7
Factor -4*l**3 - 4*l**2 + 20*l - 12.
-4*(l - 1)**2*(l + 3)
Factor 45*a**3/4 - 445*a**2/2 + 2095*a/4 + 255/2.
5*(a - 17)*(a - 3)*(9*a + 2)/4
Factor -2*i**4/5 - 2*i**3/5 + 8*i**2/5 + 8*i/5.
-2*i*(i - 2)*(i + 1)*(i + 2)/5
Factor k**2 - 965*k + 1926.
(k - 963)*(k - 2)
Let -9*t**3 - 28347*t**2 + 37809*t - 9453 = 0. What is t?
-3151, 1/3, 1
Factor -a**4/7 + 2*a**3/7 + 31*a**2/7 + 4*a.
-a*(a - 7)*(a + 1)*(a + 4)/7
Let -2*o**3/3 - 136*o**2 + 1238*o/3 - 276 = 0. What is o?
-207, 1, 2
Find y such that -5*y**2/4 - 16835*y - 56683445 = 0.
-6734
Find i, given that i**3 + 26*i**2 - 29*i - 54 = 0.
-27, -1, 2
Factor 2*c**2/7 - 190*c/7 - 792/7.
2*(c - 99)*(c + 4)/7
Factor -4*b**4 + 20*b**3 - 24*b**2.
-4*b**2*(b - 3)*(b - 2)
Determine x so that -2*x**4 - 2*x**3 + 28*x**2 + 48*x = 0.
-3, -2, 0, 4
Find y such that -3*y**4 + 3*y**3 + 9*y**2 - 15*y + 6 = 0.
-2, 1
Determine l, given that l**5 - 26*l**4 - 63*l**3 + 176*l**2 + 548*l + 336 = 0.
-2, -1, 3, 28
Factor -16*n**5/3 + 32*n**4/3 - 20*n**3/3 + 4*n**2/3.
-4*n**2*(n - 1)*(2*n - 1)**2/3
Factor 3*z**3 - 27*z**2 + 60*z - 36.
3*(z - 6)*(z - 2)*(z - 1)
Factor 2*b**2/15 + 10*b/3 - 140/3.
2*(b - 10)*(b + 35)/15
Solve 4*r**2 + 10896*r + 7420176 = 0 for r.
-1362
Factor 8*u**4 - 32*u**3 - 54*u**2 + 162*u + 216.
2*(u - 4)*(u - 3)*(2*u + 3)**2
Factor -3*a**3/4 + 48*a**2 - 768*a.
-3*a*(a - 32)**2/4
Factor 2*d**4 - 14*d**3 - 34*d**2 - 18*d.
2*d*(d - 9)*(d + 1)**2
Suppose -o**2/3 - 8*o + 25/3 = 0. Calculate o.
-25, 1
Determine m, given that 3*m**4/4 - 9*m**3 - 21*m**2/2 + 9*m + 39/4 = 0.
-1, 1, 13
Find f such that 88*f**5/7 + 204*f**4/7 - 40*f**3/7 - 220*f**2/7 - 48*f/7 + 16/7 = 0.
-2, -1, -1/2, 2/11, 1
Factor -5*i**2 - 235*i.
-5*i*(i + 47)
What is s in -5*s**5 + 50*s**4 - 115*s**3 - 170*s**2 + 600*s = 0?
-2, 0, 3, 4, 5
Suppose 2*o**2 + 514*o - 516 = 0. What is o?
-258, 1
Determine k so that -4*k**4 - 3716*k**3 + 3724*k**2 + 3716*k - 3720 = 0.
-930, -1, 1
Let v**5/6 + 8*v**4/3 + 71*v**3/6 + 28*v**2/3 - 24*v = 0. Calculate v.
-9, -4, 0, 1
Solve 4*b**4/7 - 36*b**3/7 = 0 for b.
0, 9
Factor 14*b**2 - 584*b - 168.
2*(b - 42)*(7*b + 2)
Suppose 3*t**2 + 42*t - 2040 = 0. What is t?
-34, 20
Find f, given that -5*f**5 + 55*f**3 + 90*f**2 + 40*f = 0.
-2, -1, 0, 4
Factor l**4/2 - 87*l**3/2 + 2523*l**2/2 - 24389*l/2.
l*(l - 29)**3/2
Suppose 140*c**2/3 - 34*c/3 + 2/3 = 0. Calculate c.
1/10, 1/7
Let a**5/3 + 3*a**4 + 25*a**3/3 + 9*a**2 + 10*a/3 = 0. What is a?
-5, -2, -1, 0
Determine h, given that 10*h**5/13 - 64*h**4/13 + 114*h**3/13 - 76*h**2/13 + 16*h/13 = 0.
0, 2/5, 1, 4
Find b, given that -b**4/2 - 9*b**3/2 - 10*b**2 = 0.
-5, -4, 0
Factor -507*m**2 + 936*m - 432.
-3*(13*m