+ 8*a**4 + 12*a**3 - 32*a**2 - 58*a - 24 = 0. What is a?
-1, 3, 4
Suppose -4*v**3 - 260*v**2 - 4588*v - 11532 = 0. What is v?
-31, -3
Find z such that -10*z**4 - 186*z**3 - 724*z**2 + 1320*z - 400 = 0.
-10, 2/5, 1
Solve -2*x**4/9 - 10*x**3 - 116*x**2 - 504*x - 720 = 0 for x.
-30, -6, -3
Suppose -d**4/5 - 7*d**3/5 - 17*d**2/5 - 17*d/5 - 6/5 = 0. Calculate d.
-3, -2, -1
Factor 3*b**2/5 - 162*b/5 + 312/5.
3*(b - 52)*(b - 2)/5
Determine l, given that l**5/2 + 305*l**4/2 + 15603*l**3 + 545299*l**2 + 1968793*l/2 - 3090903/2 = 0.
-101, -3, 1
Factor -a**2 - 2*a + 48.
-(a - 6)*(a + 8)
Find f, given that f**4 + 36*f**3 - f**2 - 36*f = 0.
-36, -1, 0, 1
Factor 3*u**4/4 - 129*u**3/4 + 945*u**2/2 - 2499*u + 2058.
3*(u - 14)**3*(u - 1)/4
What is v in 6*v**3/7 + 526*v**2/7 + 346*v/7 - 174/7 = 0?
-87, -1, 1/3
Factor h**5/4 - 9*h**4/4 + 9*h**3/2 + 8*h**2 - 24*h.
h*(h - 4)**2*(h - 3)*(h + 2)/4
Let -14*d**5/15 - 214*d**4/15 - 872*d**3/15 - 1408*d**2/15 - 896*d/15 - 32/3 = 0. Calculate d.
-10, -2, -1, -2/7
Factor 2*s**3/5 - 238*s**2/5.
2*s**2*(s - 119)/5
Determine i so that -3*i**2 + 1296*i = 0.
0, 432
Determine q so that q**4 + 220*q**3 + 18150*q**2 + 665500*q + 9150625 = 0.
-55
Find x such that -3*x**2 - 21*x + 180 = 0.
-12, 5
Factor -4*v**4/5 - 2152*v**3/5 - 77328*v**2 - 23325848*v/5 - 22941356/5.
-4*(v + 1)*(v + 179)**3/5
Find j, given that -3*j**3 - 282*j**2 - 279*j = 0.
-93, -1, 0
Suppose 3*k**2/2 - 617*k/2 - 103 = 0. Calculate k.
-1/3, 206
Factor -l**4/4 + 3*l**3/2 + 5*l**2 - 6*l - 16.
-(l - 8)*(l - 2)*(l + 2)**2/4
Factor u**3/5 + u**2 + 6*u/5.
u*(u + 2)*(u + 3)/5
Factor 12*z**2/5 + 2991*z/5 + 747/5.
3*(z + 249)*(4*z + 1)/5
Determine u so that 2*u**2/7 + 22*u/7 + 48/7 = 0.
-8, -3
Factor s**5/4 - s**4/2 - s**3 + s**2/2 + 3*s/4.
s*(s - 3)*(s - 1)*(s + 1)**2/4
Solve 4*d**4 - 720*d**3 + 33112*d**2 - 64080*d + 31684 = 0.
1, 89
Let 4*m**3/5 - 27656*m**2/5 + 47803396*m/5 = 0. Calculate m.
0, 3457
Determine z, given that z**3/2 + 27*z**2/4 + 93*z/4 + 10 = 0.
-8, -5, -1/2
Factor -4*v**3 + 4040*v**2.
-4*v**2*(v - 1010)
Determine r, given that -2*r**3/3 + 17*r**2/6 + 137*r/3 - 287/6 = 0.
-7, 1, 41/4
Suppose -5*o**5 - 55*o**4 + 355*o**3 - 685*o**2 + 550*o - 160 = 0. Calculate o.
-16, 1, 2
Determine v, given that -2*v**5/3 - 82*v**4/3 + 4*v**3/3 + 164*v**2/3 - 2*v/3 - 82/3 = 0.
-41, -1, 1
Suppose -26*c**3/5 + 82*c**2/5 - 64*c/5 + 8/5 = 0. Calculate c.
2/13, 1, 2
Let 2*a**5/11 - 50*a**4/11 - 168*a**3/11 - 8*a**2/11 + 224*a/11 = 0. Calculate a.
-2, 0, 1, 28
Factor 2*f**2/5 + 9064*f/5 + 10269512/5.
2*(f + 2266)**2/5
Determine o, given that 2*o**2 + 2*o - 4 = 0.
-2, 1
Suppose 105*h**5 - 2770*h**4 + 12045*h**3 + 90820*h**2 - 38100*h - 18000 = 0. Calculate h.
-4, -2/7, 2/3, 15
Solve -16*a**5 - 88*a**4 - 97*a**3 + 129*a**2 + 144*a - 108 = 0.
-3, -2, 3/4
Find p such that -230*p**4/13 + 9198*p**3/13 - 91920*p**2/13 - 800*p/13 = 0.
-1/115, 0, 20
Solve -l**3/7 + 45*l**2 + l/7 - 45 = 0 for l.
-1, 1, 315
Let 2*b**4 - 4*b**3 - 190*b**2 - 600*b = 0. What is b?
-5, 0, 12
Factor 2*y**2/13 + 14*y/13.
2*y*(y + 7)/13
Factor 5*k**3/4 + 3*k**2/4 - 5*k - 3.
(k - 2)*(k + 2)*(5*k + 3)/4
Solve -1750*q**5 + 7150*q**4 - 11535*q**3/2 + 125*q**2 + 455*q/2 + 15 = 0.
-1/10, 2/7, 1, 3
Suppose 2*a**2/23 + 444*a/23 + 880/23 = 0. What is a?
-220, -2
Suppose 2*z**2 + 6*z = 0. Calculate z.
-3, 0
Factor -b**2 + 23*b - 120.
-(b - 15)*(b - 8)
Factor z**3/7 + z**2 - 42*z.
z*(z - 14)*(z + 21)/7
Suppose 320*j**5 + 2800*j**4 + 5100*j**3 - 17875*j**2 - 71825*j - 65910 = 0. Calculate j.
-13/4, -2, 3
Determine u, given that 10*u**5 + 295*u**4 + 145*u**3 = 0.
-29, -1/2, 0
Factor -u**4/4 + 5*u**3/2 - 9*u**2 + 27*u/2 - 27/4.
-(u - 3)**3*(u - 1)/4
Suppose -2*a**2 - 36*a - 34 = 0. What is a?
-17, -1
Find y such that -2*y**3/5 + 42*y**2/5 - 54*y + 486/5 = 0.
3, 9
Factor -2*j**2/9 - 12248*j/9 - 18751688/9.
-2*(j + 3062)**2/9
Determine m, given that 4*m**4 + 448*m**3 + 12544*m**2 = 0.
-56, 0
Factor -d**2/5 + 4924*d/5 + 985.
-(d - 4925)*(d + 1)/5
Let 3*j**3 - 69*j**2 + 360*j + 432 = 0. Calculate j.
-1, 12
Let 2*t**5/7 - 22*t**4/7 + 54*t**3/7 - 50*t**2/7 + 16*t/7 = 0. What is t?
0, 1, 8
Factor 5*z**3 - 15*z**2 + 20.
5*(z - 2)**2*(z + 1)
Factor 2*c**2/3 - 38*c + 1360/3.
2*(c - 40)*(c - 17)/3
Factor -5*z**5 - 10*z**4 + 10*z**2 + 5*z.
-5*z*(z - 1)*(z + 1)**3
Let x**5/4 + 149*x**4/4 + 1540*x**3 + 10998*x**2 - 3780*x - 132300 = 0. Calculate x.
-70, -6, 3
Factor -4*m**2/5 + 304*m/5 - 528.
-4*(m - 66)*(m - 10)/5
Factor -14*k**3/9 + 956*k**2/9 - 16456*k/9 + 4624/9.
-2*(k - 34)**2*(7*k - 2)/9
Factor -5*m**3 - 1200*m**2 - 69540*m + 297680.
-5*(m - 4)*(m + 122)**2
Determine y, given that -2*y**4 + 2*y**3 + 18*y**2 + 22*y + 8 = 0.
-1, 4
Determine f, given that -12*f**4 - 64*f**3 - 68*f**2 - 16*f = 0.
-4, -1, -1/3, 0
Factor -c**4 - 9*c**3 + c**2 + 9*c.
-c*(c - 1)*(c + 1)*(c + 9)
Factor -8*d**3/7 - 8*d**2 + 62*d/7 - 16/7.
-2*(d + 8)*(2*d - 1)**2/7
Let 4*t**2 - 88*t + 84 = 0. What is t?
1, 21
Factor -24*o**4 + 71*o**3 + 3*o**2.
-o**2*(o - 3)*(24*o + 1)
Find f such that 3*f**5 - 18*f**4 + 9*f**3 + 30*f**2 = 0.
-1, 0, 2, 5
Solve 3*r**2 + 99*r + 270 = 0 for r.
-30, -3
Find x, given that -5*x**4 - 15*x**3 + 15*x**2 + 35*x - 30 = 0.
-3, -2, 1
Determine g, given that -g**2 + 36*g - 68 = 0.
2, 34
What is p in -p**2 + 1237*p + 1238 = 0?
-1, 1238
Let -2*g**4/11 - 2*g**3/11 + 2*g**2/11 + 2*g/11 = 0. What is g?
-1, 0, 1
Factor 2*v**4 - 168*v**3 + 3356*v**2 + 7224*v + 3698.
2*(v - 43)**2*(v + 1)**2
Factor 4*y**3 - 360*y**2 - 748*y + 1104.
4*(y - 92)*(y - 1)*(y + 3)
Suppose -84*f**5 + 507*f**4 + 5112*f**3 - 5763*f**2 - 168*f + 396 = 0. What is f?
-6, -1/4, 2/7, 1, 11
Solve -2*k**2/7 + 44*k/7 = 0 for k.
0, 22
Factor -h**5/4 - 4*h**4 + 33*h**3/2 + 260*h**2 - 4225*h/4.
-h*(h - 5)**2*(h + 13)**2/4
Solve 42*l**4/11 + 1264*l**3/11 + 870*l**2 + 900*l/11 = 0 for l.
-15, -2/21, 0
Determine c so that -4*c**4/7 - 3784*c**3/7 - 898692*c**2/7 - 1786048*c/7 - 891136/7 = 0.
-472, -1
Let 2*m**3/19 - 8*m**2/19 + 8*m/19 = 0. Calculate m.
0, 2
Factor -3*f**4 - 1584*f**3 - 207498*f**2 + 419760*f - 210675.
-3*(f - 1)**2*(f + 265)**2
Factor 3*w**4/4 - 3*w**3/2 - 33*w**2/4 + 9*w + 27.
3*(w - 3)**2*(w + 2)**2/4
Factor h**3/2 + 7*h**2/2 + 6*h.
h*(h + 3)*(h + 4)/2
Factor 3*f**2/4 + 507*f + 85683.
3*(f + 338)**2/4
Determine d so that -44*d**3 - 80*d**2/3 + 28*d + 32/3 = 0.
-1, -1/3, 8/11
Solve -2*m**4/7 + 30*m**3/7 + 152*m**2/7 = 0.
-4, 0, 19
Determine w so that w**2 - 366*w + 33489 = 0.
183
Solve -2*x**4 + 180*x**3 - 4050*x**2 = 0 for x.
0, 45
Find d, given that -2*d**5/11 - 6*d**4/11 + 8*d**2/11 = 0.
-2, 0, 1
Suppose -d**5 - 7*d**4 - 7*d**3 + 15*d**2 = 0. What is d?
-5, -3, 0, 1
What is q in 4*q**3 - 28*q**2 + 24*q = 0?
0, 1, 6
Factor t**5/4 + 7*t**4/2 - 31*t**3/4 + 4*t**2.
t**2*(t - 1)**2*(t + 16)/4
Determine u, given that -363*u**3/7 - 2343*u**2/7 - 2832*u/7 - 960/7 = 0.
-5, -8/11
Factor -5*b**2 - 220*b - 2420.
-5*(b + 22)**2
Factor -z**3/4 - 27*z**2/4 + 9*z/4 + 243/4.
-(z - 3)*(z + 3)*(z + 27)/4
Factor d**2/6 + 88*d/3 + 3872/3.
(d + 88)**2/6
Factor -97*l**3/2 + 281*l**2/2 + 15*l.
-l*(l - 3)*(97*l + 10)/2
Solve 14*o**5 + 80*o**4 - 360*o**3 + 460*o**2 - 230*o + 36 = 0 for o.
-9, 2/7, 1
Suppose -35*r**4 - 444*r**3 + 1283*r**2 + 1032*r + 180 = 0. Calculate r.
-15, -2/5, -2/7, 3
Factor 2*y**3/5 - 3*y**2 + 7*y/5.
y*(y - 7)*(2*y - 1)/5
Factor u**5/7 - 13*u**4/7 + 48*u**3/7 - 68*u**2/7 + 32*u/7.
u*(u - 8)*(u - 2)**2*(u - 1)/7
Factor -63*f**3/5 + 758*f**2/5 - 2292*f/5 + 72/5.
-(f - 6)**2*(63*f - 2)/5
Let -5*b**4 + 60*b**3 - 50*b**2 - 60*b + 55 = 0. Calculate b.
-1, 1, 11
Let 12*f**3 - 476*f**2 + 752*f + 304 = 0. Calculate f.
-1/3, 2, 38
Let -3*r**4 + 63*r**3 - 297*r**2 - 363*r = 0. Calculate r.
-1, 0, 11
Factor l**3 + 1109*l**2 + 306915*l - 308025.
(l - 1)*(l + 555)**2
Factor -t**3 - 11*t**2 - 7*t + 147.
-(t - 3)*(t + 7)**2
Suppose d**2/6 - 5*d/6 - 7/3 = 0. What is d?
-2, 7
Factor 5*q**3 + 3480*q**2 + 605520*q.
5*q*(q + 348)**2
Factor 3*h**4/4 - 3*h**3/2 - 3*h**2/4 + 3*h/2.
3*h*(h - 2)*(h - 1)*(h + 1)/4
Suppose -14*p**2/9 - 94*p/9 + 28/9 = 0. Calculate p.
-7, 2/7
Factor 5*g**3 + 38528*g**2 + 74212633*g - 29691218.
(g + 3853)**2*(5*g - 2)
Factor 4*b**4/7 + 460*b**3/7 - 408*b**2 + 5776*b/7 - 3872/7.
4*(b - 2)**3*(b + 121)/7
Factor t**2/4 - 2838*t + 8054244.
(t - 5676)**2/4
Factor t