, 1, 2
Determine i, given that 2*i**5/9 + 10*i**4/9 - 2*i**3/3 - 34*i**2/9 - 20*i/9 = 0.
-5, -1, 0, 2
What is n in -n**2/3 + 6*n + 40/3 = 0?
-2, 20
Solve 36*b**4 + 44*b**3 + 8*b**2 = 0 for b.
-1, -2/9, 0
Factor 2*m**4 - 22*m**3 - 78*m**2 - 82*m - 28.
2*(m - 14)*(m + 1)**3
Determine r, given that 2*r**3/13 + 132*r**2/13 - 138*r/13 - 268/13 = 0.
-67, -1, 2
Solve 3*d**4 - 3*d**3 - 78*d**2 - 72*d = 0 for d.
-4, -1, 0, 6
Solve 2*c**5 - 4*c**4 - 12*c**3 + 16*c**2 + 10*c - 12 = 0 for c.
-2, -1, 1, 3
Factor -z**2 - 40*z - 39.
-(z + 1)*(z + 39)
Factor 9*l**4 + 20*l**3 + 13*l**2 + 2*l.
l*(l + 1)**2*(9*l + 2)
Solve 4*z**3 + 5*z**2 - 23*z - 6 = 0 for z.
-3, -1/4, 2
Solve t**2/6 + 95*t/6 - 16 = 0 for t.
-96, 1
Factor 3*j**3 - 90*j**2/7 - 243*j/7 - 132/7.
3*(j + 1)**2*(7*j - 44)/7
Factor 98*u**4 - 13580*u**3 + 7736*u**2 - 1104*u.
2*u*(u - 138)*(7*u - 2)**2
Solve -6125*r**4 + 1400*r**3 + 1320*r**2 - 160*r - 80 = 0.
-2/7, 2/5
Find i such that 4*i**3 + 16*i**2 - 220*i + 200 = 0.
-10, 1, 5
Factor g**2/2 + 103*g/2 - 565.
(g - 10)*(g + 113)/2
Let 2*h**3/5 - 6*h/5 - 4/5 = 0. Calculate h.
-1, 2
Solve 2*k**3/9 - 2*k**2 + 28*k/9 = 0 for k.
0, 2, 7
Factor 11*m**2/5 + 54*m.
m*(11*m + 270)/5
Solve -2*q**4/11 + 4*q**3/11 + 78*q**2/11 + 144*q/11 = 0.
-3, 0, 8
Suppose -3*r**3 + 12*r**2 + 423*r + 1080 = 0. What is r?
-8, -3, 15
Determine r so that -9*r**4/5 - 27*r**3/5 + 7*r**2/5 + 19*r/5 - 6/5 = 0.
-3, -1, 1/3, 2/3
Factor -2*r**5 + 16*r**4 - 36*r**3 + 32*r**2 - 10*r.
-2*r*(r - 5)*(r - 1)**3
Let -2*v**2 + 6*v + 56 = 0. Calculate v.
-4, 7
Factor -2*h**2 + 4*h + 198.
-2*(h - 11)*(h + 9)
Factor -6*v**3 + 494*v**2 - 1124*v + 320.
-2*(v - 80)*(v - 2)*(3*v - 1)
Factor 3*k**2 - 384*k - 780.
3*(k - 130)*(k + 2)
Determine x, given that 2*x**4 - 78*x**3 + 588*x**2 - 1472*x + 960 = 0.
1, 4, 30
Find d, given that 5*d**2 - 470*d - 2475 = 0.
-5, 99
Find q, given that 2*q**3/11 - 34*q**2/11 - 116*q/11 - 80/11 = 0.
-2, -1, 20
Suppose 2*p**5/7 - 332*p**4/7 + 15980*p**3/7 - 169536*p**2/7 - 388350*p/7 - 202500/7 = 0. Calculate p.
-1, 18, 75
Find l such that l**3/2 + 25*l**2/2 + 43*l/2 - 69/2 = 0.
-23, -3, 1
Factor u**4/9 - 8*u**3/9 + 23*u**2/9 - 28*u/9 + 4/3.
(u - 3)*(u - 2)**2*(u - 1)/9
Factor 2*m**2/15 - 14*m/3 + 44/5.
2*(m - 33)*(m - 2)/15
What is d in 15*d**4 - 186*d**3 + 237*d**2 - 66*d = 0?
0, 2/5, 1, 11
Find y, given that -4*y**2 + 48*y = 0.
0, 12
Determine t, given that 628864*t**5 + 656608*t**4 + 28152*t**3 + 410*t**2 + 2*t = 0.
-1, -1/68, 0
Factor -3*g**3 - 30*g**2 - 39*g + 72.
-3*(g - 1)*(g + 3)*(g + 8)
What is s in 2*s**4/3 - 34*s**3/3 + 52*s**2 - 64*s/3 - 256/3 = 0?
-1, 2, 8
Factor -3*s**2/4 + 3243*s/4.
-3*s*(s - 1081)/4
Determine a so that 2*a**5/5 - 4*a**4 + 12*a**3 - 16*a**2 + 10*a - 12/5 = 0.
1, 6
Determine j so that -j**2/8 + 47*j/8 - 23/4 = 0.
1, 46
Determine r so that r**4 + 39*r**3 + 37*r**2 - 39*r - 38 = 0.
-38, -1, 1
Determine n so that -8*n**4 + 292*n**3 - 352*n**2 - 2332*n - 1680 = 0.
-3/2, -1, 4, 35
Let -4*v**5/7 - 15*v**4/7 - 9*v**3/7 + 16*v**2/7 + 12*v/7 = 0. What is v?
-2, -3/4, 0, 1
Find p such that -5*p**4 + 95*p**3 - 475*p**2 + 685*p - 300 = 0.
1, 5, 12
What is f in -18*f**4 - 40*f**3 + 46*f**2 + 12*f = 0?
-3, -2/9, 0, 1
Factor 2*v**2 + 74*v - 76.
2*(v - 1)*(v + 38)
Find i, given that 3*i**4 + 21*i**3 + 51*i**2 + 51*i + 18 = 0.
-3, -2, -1
Find l, given that -28*l**3/5 - 83*l**2/5 - 53*l/5 + 2/5 = 0.
-2, -1, 1/28
Factor 8*p**2 - 1052*p + 524.
4*(p - 131)*(2*p - 1)
Find i, given that -2*i**2/13 + 844*i/13 = 0.
0, 422
Solve -25*r**3/3 - 355*r**2/3 + 296*r/3 - 20 = 0.
-15, 2/5
Find p, given that -p**4/2 + 79*p**3/2 - 1026*p**2 + 8398*p + 9464 = 0.
-1, 26, 28
What is n in 7*n**5/4 - 103*n**4/4 + 383*n**3/4 - 197*n**2/4 - 45*n/2 = 0?
-2/7, 0, 1, 5, 9
Factor -4*s**2/5 - 84*s/5 - 272/5.
-4*(s + 4)*(s + 17)/5
Solve -5*f**3/4 - 25*f**2/2 - 85*f/4 - 10 = 0 for f.
-8, -1
Factor 16*p**4 + 1308*p**3 + 35964*p**2 + 341172*p + 236196.
4*(p + 27)**3*(4*p + 3)
Determine m so that 3*m**2/5 + 15258*m/5 - 15261/5 = 0.
-5087, 1
What is f in 2*f**2 - 44*f + 242 = 0?
11
What is k in 4*k**4/7 + 8*k**3/7 + 4*k**2/7 = 0?
-1, 0
Factor 3*v**2/4 + 1707*v/4 + 426.
3*(v + 1)*(v + 568)/4
Factor f**2/3 + 37*f/3 + 322/3.
(f + 14)*(f + 23)/3
Solve -3*b**3 - 1209*b**2 = 0 for b.
-403, 0
Find u such that 5*u**3/4 + 6345*u**2/4 - 38205*u/4 + 57375/4 = 0.
-1275, 3
Suppose 5*k**4/3 + 190*k**3/3 + 2125*k**2/3 + 5780*k/3 = 0. Calculate k.
-17, -4, 0
Let -5*l**5 + 35*l**4 - 35*l**3 - 115*l**2 + 220*l - 100 = 0. Calculate l.
-2, 1, 2, 5
Factor o**2/3 + 20*o/3 + 17.
(o + 3)*(o + 17)/3
Factor -q**3/5 - q**2 - 7*q/5 - 3/5.
-(q + 1)**2*(q + 3)/5
Factor m**3 + 126*m**2 - 129*m - 254.
(m - 2)*(m + 1)*(m + 127)
Determine g so that -g**5/6 - 2*g**4/3 + g**3/3 + 4*g**2/3 - g/6 - 2/3 = 0.
-4, -1, 1
Let -3*v**3/5 + 123*v**2/5 + 3*v/5 - 123/5 = 0. Calculate v.
-1, 1, 41
Factor -3*p**4 - 3*p**3 + 3*p**2 + 3*p.
-3*p*(p - 1)*(p + 1)**2
Factor -3*d**2/4 + 21*d/2 - 18.
-3*(d - 12)*(d - 2)/4
Factor -2*s**3 - 58*s**2 - 240*s.
-2*s*(s + 5)*(s + 24)
Factor -4*f**4 - 104*f**3 + 460*f**2 - 592*f + 240.
-4*(f - 2)*(f - 1)**2*(f + 30)
Solve -7*g**3/11 + 92*g**2 + 445*g/11 - 1450/11 = 0 for g.
-10/7, 1, 145
Solve -2*v**4 + 12*v**2 - 16*v + 6 = 0.
-3, 1
Suppose -d**2/2 + 162*d + 325/2 = 0. Calculate d.
-1, 325
Find t such that 2*t**3 + 36*t**2 - 2*t - 36 = 0.
-18, -1, 1
What is w in w**2/2 + w/2 - 3 = 0?
-3, 2
Factor a**2/6 - 21*a/2 - 69.
(a - 69)*(a + 6)/6
Factor -o**2/5 - o + 14/5.
-(o - 2)*(o + 7)/5
Factor l**4/2 + 75*l**3.
l**3*(l + 150)/2
Determine r so that r**2/12 + r/2 + 5/12 = 0.
-5, -1
Factor -5*k**2 + 2025*k - 2020.
-5*(k - 404)*(k - 1)
Factor -3*c**4 - 132*c**3 + 273*c**2 - 138*c.
-3*c*(c - 1)**2*(c + 46)
Factor -3*h**2/7 + 12/7.
-3*(h - 2)*(h + 2)/7
Factor q**4/4 + 53*q**3/8 + 105*q**2/4 - 441*q/8.
q*(q + 7)*(q + 21)*(2*q - 3)/8
Solve 2*l**5 + 14*l**4 + 32*l**3 + 24*l**2 = 0 for l.
-3, -2, 0
Solve 2*a**2/5 + 104*a/5 + 1352/5 = 0 for a.
-26
Factor -2*n**3/3 + 22*n**2 + 8*n/3 - 88.
-2*(n - 33)*(n - 2)*(n + 2)/3
Factor -3*l**3/2 - 201*l**2/2.
-3*l**2*(l + 67)/2
Suppose d**2 - 25*d - 26 = 0. Calculate d.
-1, 26
Factor -b**3/4 - 3*b**2/2 - 9*b/4 - 1.
-(b + 1)**2*(b + 4)/4
Factor -4*w**3 - 260*w**2 - 4092*w + 4356.
-4*(w - 1)*(w + 33)**2
Suppose s**2/7 - s + 6/7 = 0. What is s?
1, 6
Let 5*t**4 + 845*t**3 - 5*t**2 - 845*t = 0. What is t?
-169, -1, 0, 1
Factor -l**2/6 + 72*l - 7776.
-(l - 216)**2/6
Factor -w**3 + 9*w**2 + 100*w + 192.
-(w - 16)*(w + 3)*(w + 4)
Suppose -5*h**3 - 2315*h**2 - 271400*h - 793500 = 0. Calculate h.
-230, -3
Find t, given that 10*t**2 + 2905*t - 1455 = 0.
-291, 1/2
Find j, given that -4*j**4/13 - 2094*j**3/13 + 3150*j**2/13 - 2*j/13 - 1050/13 = 0.
-525, -1/2, 1
Find h such that -3*h**4 - 375*h**3 - 11529*h**2 + 11907*h = 0.
-63, 0, 1
Factor -2*g**2/7 - 44*g/7.
-2*g*(g + 22)/7
What is o in 2*o**4/13 + 92*o**3/13 - 290*o**2/13 + 196*o/13 = 0?
-49, 0, 1, 2
Factor 4*c**2 + 41*c + 10.
(c + 10)*(4*c + 1)
Determine d, given that -3*d**3 + 18*d**2 + 3*d - 18 = 0.
-1, 1, 6
Solve -m**4 + m**3 + 3*m**2 - 5*m + 2 = 0.
-2, 1
Factor -h**4/2 + 27*h**3/2 - 25*h**2/2 - 27*h/2 + 13.
-(h - 26)*(h - 1)**2*(h + 1)/2
Let -k**2/2 + 9/2 = 0. Calculate k.
-3, 3
Find v such that 4*v**2/3 - 4916*v/3 = 0.
0, 1229
Find j, given that -5*j**2 - 90*j + 315 = 0.
-21, 3
Solve -14*a**4 + 3398*a**3 - 207390*a**2 + 145442*a + 58564 = 0.
-2/7, 1, 121
Factor m**4/5 - 62*m**3 + 301*m**2/5 + 2484*m/5 - 3708/5.
(m - 309)*(m - 2)**2*(m + 3)/5
Factor -3*x**5/7 + 15*x**4 - 297*x**3/7 + 291*x**2/7 - 96*x/7.
-3*x*(x - 32)*(x - 1)**3/7
Factor 25*q**3 + 7885*q**2 + 18800*q + 6260.
5*(q + 2)*(q + 313)*(5*q + 2)
Solve 5*q**2 - 605*q + 1190 = 0 for q.
2, 119
Factor 3*p**4 - 21*p**3 - 123*p**2 - 99*p.
3*p*(p - 11)*(p + 1)*(p + 3)
Solve 3*l**3 + 11*l**2 - 114*l - 80 = 0.
-8, -2/3, 5
Solve 82*k**2 + 62*k - 20 = 0 for k.
-1, 10/41
Factor 2*t**2/11 + 452*t/11 + 25538/11.
2*(t + 113)**2/11
Let -5*h**2/3 - 4978*h/3 + 664 = 0. Calculate h.
-996, 2/5
Suppose -28*b**5/11 - 51*b**4/11 - 15*b**3/11 + b**2 + 3*b/11 = 0. What is b?
-1, -1/4, 0, 3/7
Find f such that -f**2 + 30*f - 56 = 0.
2, 28
Factor q**5/3 + 31*q**4/3 + 382*q**3/3 + 2338*q**2/3 + 7105*q/3 + 8575/3.
(q + 5)**2*(q + 7)**3/3
Determine d so that d**5 + 40*d**4 - 126*d**3 + 128*d**2 - 43*d = 0.
-43