 - 2*t**3 + 53*t**2/4 + 9*t/2 = 0?
-2, -1/3, 0, 9/5
Let j**4 + 14*j**3 + 8*j**2 - 62*j + 39 = 0. What is j?
-13, -3, 1
What is g in -g**3/10 + 3*g**2/2 - 27*g/10 + 13/10 = 0?
1, 13
Solve v**4/6 - 20*v**3/3 - 127*v**2/6 - 43*v/3 = 0 for v.
-2, -1, 0, 43
Suppose 2*u**4/13 + 36*u**3/13 + 122*u**2/13 - 360*u/13 + 200/13 = 0. What is u?
-10, 1
Suppose 3*a**3/5 + 21*a**2 + 1008*a/5 + 324 = 0. Calculate a.
-18, -15, -2
Find g such that 20*g**2/3 - 11*g/3 - 4/3 = 0.
-1/4, 4/5
Factor -3*c**2/8 + 447*c/4 - 870.
-3*(c - 290)*(c - 8)/8
Suppose 4*q**5 + 16*q**4 - 64*q**3 - 424*q**2 - 708*q - 360 = 0. What is q?
-3, -2, -1, 5
Let o**4/4 + 3*o**3/4 - 5*o**2/4 - 3*o/4 + 1 = 0. What is o?
-4, -1, 1
Let y**4/4 + 13*y**3/4 + 41*y**2/4 + 47*y/4 + 9/2 = 0. Calculate y.
-9, -2, -1
Factor 3*n**3 - 372*n**2.
3*n**2*(n - 124)
Factor -4*n**2/7 + 10088*n/7 - 6360484/7.
-4*(n - 1261)**2/7
Suppose -2*n**4 + 14*n**3 = 0. What is n?
0, 7
Factor -q**2/11 + 329*q/11 + 662/11.
-(q - 331)*(q + 2)/11
Factor 7*n**2 - 5*n - 12.
(n + 1)*(7*n - 12)
What is f in -2*f**3/5 + 186*f**2/5 - 1188*f/5 - 1376/5 = 0?
-1, 8, 86
Factor -4*n**2 + 464*n - 13456.
-4*(n - 58)**2
Determine k so that -2*k**4 + 14*k**3 - 24*k**2 - 8*k + 32 = 0.
-1, 2, 4
Factor o**4/3 - o**3/3 - 40*o**2 - 156*o.
o*(o - 13)*(o + 6)**2/3
What is n in n**5/5 + 218*n**4/5 - 88*n**3 + 2*n**2/5 + 439*n/5 - 44 = 0?
-220, -1, 1
Factor 2*q**3 + 170*q**2 + 864*q - 134136.
2*(q - 23)*(q + 54)**2
What is b in 4*b**5 - 4*b**4 - 24*b**3 + 56*b**2 - 44*b + 12 = 0?
-3, 1
Factor 2*b**2/3 - 34*b/3 + 20.
2*(b - 15)*(b - 2)/3
Factor -l**2/2 - 109*l/2 + 168.
-(l - 3)*(l + 112)/2
Suppose -5*r**5 - 260*r**4 + 265*r**3 = 0. Calculate r.
-53, 0, 1
Factor 5*b**3 - 215*b**2 + 1755*b - 3465.
5*(b - 33)*(b - 7)*(b - 3)
Factor 4*s**4 + 20*s**3 - 32*s**2 - 48*s.
4*s*(s - 2)*(s + 1)*(s + 6)
Suppose -s**2/3 - 23*s/3 - 76/3 = 0. What is s?
-19, -4
Factor -4*v**3 + 48*v**2 - 116*v + 72.
-4*(v - 9)*(v - 2)*(v - 1)
Suppose -4*v**2 - 112*v - 108 = 0. What is v?
-27, -1
Factor -3*w**5 + 12*w**3 + 6*w**2 - 9*w - 6.
-3*(w - 2)*(w - 1)*(w + 1)**3
Let c**2 + 189*c + 740 = 0. Calculate c.
-185, -4
Factor 4*v**2 - 156*v - 328.
4*(v - 41)*(v + 2)
Determine p, given that -5*p**5/3 + 25*p**4/3 + 5*p**3 - 75*p**2 + 90*p = 0.
-3, 0, 2, 3
Suppose -5*d**3 - 45*d**2 - 75*d - 35 = 0. What is d?
-7, -1
Suppose 8*r**5 - 2*r**4 - 36*r**3 - 16*r**2 + 28*r + 18 = 0. What is r?
-1, 1, 9/4
Suppose 25*s**2 - 10*s - 15 = 0. What is s?
-3/5, 1
What is r in 2*r**4/11 - 54*r**3/11 + 510*r**2/11 - 2050*r/11 + 3000/11 = 0?
5, 12
Let 190*y**4 - 664*y**3 + 384*y**2 + 352*y + 32 = 0. What is y?
-2/5, -2/19, 2
Let 4*w**4/5 + 941*w**3 + 1845144*w**2/5 + 241406144*w/5 + 60236288/5 = 0. What is w?
-392, -1/4
Factor 5*m**2 + 15*m.
5*m*(m + 3)
Factor -3*k**2/7 + 33*k/7 - 90/7.
-3*(k - 6)*(k - 5)/7
Factor 6*v**3 + 22*v**2 + 16*v - 8.
2*(v + 2)**2*(3*v - 1)
Let 5*d**4 + 1820*d**3 + 167425*d**2 + 327610*d = 0. Calculate d.
-181, -2, 0
Determine z so that 4*z**4 - 1376*z**3 + 116952*z**2 + 238048*z + 119716 = 0.
-1, 173
Find g, given that 2*g**5/13 + 42*g**4/13 - 306*g**3/13 + 478*g**2/13 - 216*g/13 = 0.
-27, 0, 1, 4
Let -4*s**5 + 32*s**4 + 184*s**3 + 112*s**2 - 180*s - 144 = 0. What is s?
-3, -1, 1, 12
Find q, given that -q**2 - q/6 + 5/6 = 0.
-1, 5/6
Factor -3*u**3 - 45*u**2 - 42*u.
-3*u*(u + 1)*(u + 14)
Solve 4*z**5 + 1648*z**4 + 225220*z**3 + 10056888*z**2 - 20796048*z + 10512288 = 0 for z.
-138, 1
Let y**5 - 29*y**4 - 861*y**3 - 2399*y**2 - 2336*y - 768 = 0. Calculate y.
-16, -1, 48
Factor 198*r**5 + 69*r**4 + 6*r**3.
3*r**3*(6*r + 1)*(11*r + 2)
Factor -15*f**2/2 - 16*f - 2.
-(f + 2)*(15*f + 2)/2
Factor -12*x**5 - 45*x**4 - 36*x**3 + 12*x**2.
-3*x**2*(x + 2)**2*(4*x - 1)
Factor 5*b**2 - 2030*b + 206045.
5*(b - 203)**2
Factor -4*y**3/5 - 4744*y**2/5 - 1406596*y/5.
-4*y*(y + 593)**2/5
Factor u**4/6 + u**3/3 - 12*u**2 - 208*u/3 - 320/3.
(u - 10)*(u + 4)**3/6
Suppose -3*j**5/8 - 39*j**4/8 + 15*j**3/8 + 195*j**2/8 - 3*j/2 - 39/2 = 0. What is j?
-13, -2, -1, 1, 2
Suppose -u**4/2 + 7*u**3 + 71*u**2/2 + 12*u - 54 = 0. What is u?
-3, -2, 1, 18
Factor -2*j**2/7 + 212*j/7 + 2574/7.
-2*(j - 117)*(j + 11)/7
Suppose -4*x**5 - 16*x**4 + 16*x**3 + 88*x**2 - 12*x - 72 = 0. Calculate x.
-3, -1, 1, 2
Determine w so that 732*w**2 + 740*w + 8 = 0.
-1, -2/183
Factor -s**3/4 + 13*s**2/4 + 29*s/4 + 15/4.
-(s - 15)*(s + 1)**2/4
Determine x so that 4*x**2 + 2096*x + 274576 = 0.
-262
Let -2*u**5/5 + 34*u**3/5 + 72*u**2/5 + 8*u = 0. Calculate u.
-2, -1, 0, 5
Let 2*k**5/11 + 36*k**4/11 + 64*k**3/11 = 0. Calculate k.
-16, -2, 0
Factor -n**2/2 + 1262*n - 2523/2.
-(n - 2523)*(n - 1)/2
Solve f**3/4 - 53*f**2/4 + 13*f = 0.
0, 1, 52
Factor -3*v**4 + 78*v**3 - 336*v**2 + 450*v - 189.
-3*(v - 21)*(v - 3)*(v - 1)**2
Determine b so that b**4/4 + 21*b**3/4 - 125*b**2/2 + 147*b - 90 = 0.
-30, 1, 2, 6
Suppose 15*b**4 + 102*b**3 + 69*b**2 - 18*b = 0. Calculate b.
-6, -1, 0, 1/5
Solve 3*c**3 - 129*c + 126 = 0 for c.
-7, 1, 6
What is n in -n**2 + 16*n - 15 = 0?
1, 15
Suppose -2*p**3 + 109*p**2 - 1345*p - 700 = 0. What is p?
-1/2, 20, 35
Suppose d**5 - 11*d**4/3 - 51*d**3 + 871*d**2/3 - 370*d + 400/3 = 0. What is d?
-8, 2/3, 1, 5
Factor 16*y**5 + 56*y**4 + 25*y**3 + 3*y**2.
y**2*(y + 3)*(4*y + 1)**2
Determine h so that -h**3 + 19*h**2 - 87*h + 117 = 0.
3, 13
Factor -3*y**2 - 2343*y.
-3*y*(y + 781)
Let -4*r**4 + 24*r**3 - 48*r**2 + 40*r - 12 = 0. Calculate r.
1, 3
Factor 4*q**2/3 - 16*q - 1792/3.
4*(q - 28)*(q + 16)/3
Factor -21*o**2 + 10044*o - 2868.
-3*(o - 478)*(7*o - 2)
Factor v**2/8 + 9*v/8 + 9/4.
(v + 3)*(v + 6)/8
Factor -5*c**4 + 57*c**3 + 188*c**2 - 84*c.
-c*(c - 14)*(c + 3)*(5*c - 2)
Factor 15*v**3 - 1104*v**2 + 4236*v - 4176.
3*(v - 2)**2*(5*v - 348)
Factor -4*i**3 + 170*i**2 - 394*i - 240.
-2*(i - 40)*(i - 3)*(2*i + 1)
Factor 3*x**3 + 36*x**2 - 45*x - 78.
3*(x - 2)*(x + 1)*(x + 13)
Factor -2*z**3 - 3384*z**2 - 1431432*z.
-2*z*(z + 846)**2
Let -3*o**5/8 + 3*o**4/8 + 27*o**3/8 - 3*o**2/8 - 15*o/2 - 9/2 = 0. Calculate o.
-2, -1, 2, 3
Factor f**5 - 24*f**4 + 177*f**3 - 578*f**2 + 876*f - 504.
(f - 14)*(f - 3)**2*(f - 2)**2
Suppose -10*i**5/9 - 94*i**4/9 - 26*i**3/9 + 94*i**2/9 + 4*i = 0. Calculate i.
-9, -1, -2/5, 0, 1
Let -2*j**2 - 768*j - 2286 = 0. Calculate j.
-381, -3
Let 15*y**5/2 - 25*y**4/2 - 205*y**3/2 + 505*y**2/2 - 85*y - 60 = 0. What is y?
-4, -1/3, 1, 2, 3
Determine h, given that -h**3/6 - 2*h**2 - 8*h - 32/3 = 0.
-4
What is z in -5*z**3 + 290*z**2 - 285*z = 0?
0, 1, 57
Suppose -2*i**4/11 - 6*i**3 - 510*i**2/11 + 578*i/11 = 0. What is i?
-17, 0, 1
Factor -4*n**3 - 56*n**2 - 204*n - 216.
-4*(n + 2)*(n + 3)*(n + 9)
What is q in -4*q**2 - 12*q + 352 = 0?
-11, 8
Factor 5*c**2 - 120*c + 640.
5*(c - 16)*(c - 8)
Determine l, given that 3*l**4/7 + 30*l**3/7 + 45*l**2/7 - 150*l/7 - 24 = 0.
-7, -4, -1, 2
Determine v so that -4*v**4 - 224*v**3 - 1784*v**2 - 4384*v - 2820 = 0.
-47, -5, -3, -1
Factor 2*z**3 + 24*z**2 + 46*z - 72.
2*(z - 1)*(z + 4)*(z + 9)
Find z such that -z**5/3 + 4*z**3 - 16*z**2/3 = 0.
-4, 0, 2
Let 5*w**5 + 5*w**4 - 145*w**3 - 145*w**2 + 680*w - 400 = 0. What is w?
-4, 1, 5
Determine z so that -z**3/2 + 309*z**2/2 + 621*z/2 + 311/2 = 0.
-1, 311
Factor 4*k**3 + 56*k**2 + 96*k.
4*k*(k + 2)*(k + 12)
Suppose 2*c**5 + 36*c**4 - 326*c**3 + 608*c**2 + 168*c - 800 = 0. What is c?
-25, -1, 2, 4
Let -2*x**2 + 28*x + 102 = 0. What is x?
-3, 17
Factor d**2/7 - 170*d/7.
d*(d - 170)/7
Factor -3*h**3 + 21*h - 18.
-3*(h - 2)*(h - 1)*(h + 3)
Suppose 2*h**4/13 + 14*h**3/13 + 30*h**2/13 + 18*h/13 = 0. What is h?
-3, -1, 0
Factor 5*q**4 - 140*q**3 + 1310*q**2 - 4620*q + 5445.
5*(q - 11)**2*(q - 3)**2
Factor z**5/2 + z**4/2 - z**3.
z**3*(z - 1)*(z + 2)/2
Let -3*i**2/5 + 801*i/5 - 318 = 0. What is i?
2, 265
Solve -2*a**4 + 44*a**3 - 194*a**2 - 528*a - 288 = 0.
-1, 12
Factor u**2/2 - 8*u.
u*(u - 16)/2
Factor 2*x**3/7 + 10*x**2/7 - 16*x/7 - 24/7.
2*(x - 2)*(x + 1)*(x + 6)/7
Suppose 3*j**5 + 651*j**4 + 34329*j**3 - 106923*j**2 + 108240*j - 36300 = 0. Calculate j.
-110, 1
What is j in -j**2/4 - 9*j/2 - 77/4 = 0?
-11, -7
Find j, given that 2*j**4 + 6*j**3 - 46*j**2 + 66*j - 28 = 0.
-7, 1, 2
Let 5*p**3 + 1770*p**2 - 9005*p - 10770 = 0. What is p?
-359, -1, 6
Determine g, given that 4*g**4/7 - 268*g**3 - 3764*g**2/7 - 1884*g/7 = 0.
-1, 