 -14/13, -1, 0
Find a such that -2*a**4/15 + 86*a**3/15 + 158*a**2/5 + 102*a/5 - 288/5 = 0.
-3, 1, 48
Let -10*p**5 + 175*p**4 - 245*p**3 + 80*p**2 = 0. Calculate p.
0, 1/2, 1, 16
Let -4*p**3 - 72*p**2 - 324*p = 0. What is p?
-9, 0
Let d**4/5 - 27*d**3/5 + 81*d**2/5 + 199*d - 210 = 0. Calculate d.
-5, 1, 10, 21
Let -115*x**2 + 20*x = 0. Calculate x.
0, 4/23
Determine k, given that -2*k**3 - 1332*k**2 - 295704*k - 21882096 = 0.
-222
Factor 3*w**5 + 66*w**4 - 252*w**3 - 2856*w**2 - 6528*w - 4608.
3*(w - 8)*(w + 2)**3*(w + 24)
Find c, given that -4*c**2 - 50*c - 24 = 0.
-12, -1/2
What is c in c**3/3 + 34*c**2/3 - 71*c/3 + 12 = 0?
-36, 1
Find x, given that 2*x**3/7 - 330*x**2/7 + 1968*x - 13448/7 = 0.
1, 82
Suppose -8*c**5/5 - 6*c**4/5 = 0. Calculate c.
-3/4, 0
Factor -k**3 - 37*k**2 - 70*k.
-k*(k + 2)*(k + 35)
Factor g**2 - 40*g - 276.
(g - 46)*(g + 6)
Factor -4*w**2/3 + 296*w/3 - 192.
-4*(w - 72)*(w - 2)/3
Find x, given that 3*x**2/5 + 6*x + 72/5 = 0.
-6, -4
Factor -t**4/4 - 65*t**3 + 393*t**2/2 - 197*t + 263/4.
-(t - 1)**3*(t + 263)/4
Solve -4*y**4 + 84*y**3 - 472*y**2 + 240*y + 800 = 0.
-1, 2, 10
What is d in -4*d**4 - 56*d**3 - 196*d**2 = 0?
-7, 0
Factor 4*m**2 + 248*m + 3844.
4*(m + 31)**2
Solve f**4/7 + 4*f**3 + 28*f**2 = 0.
-14, 0
Solve 2*q**4/11 - 32*q**3/11 + 40*q**2/11 + 224*q/11 = 0 for q.
-2, 0, 4, 14
Find f, given that 2*f**5 + 51*f**4/2 + 27*f**3/2 - 53*f**2 + 12*f = 0.
-12, -2, 0, 1/4, 1
Suppose 9*a**3 - 93*a**2 + 255*a - 75 = 0. Calculate a.
1/3, 5
Let -3*m**3 - 120*m**2 = 0. Calculate m.
-40, 0
Suppose -u**4/3 - 10*u**3 - 112*u**2/3 + 106*u - 175/3 = 0. What is u?
-25, -7, 1
Factor 2*h**2 + 17976*h + 40392072.
2*(h + 4494)**2
Find t such that 2*t**2/5 + 528*t/5 - 106 = 0.
-265, 1
Suppose 6*c**5 - 3*c**4 - 18*c**3 + 21*c**2 - 6*c = 0. What is c?
-2, 0, 1/2, 1
Let -8*x**5 - 44*x**4 + 164*x**3 + 8*x**2 - 192*x = 0. Calculate x.
-8, -1, 0, 3/2, 2
Factor 7*g**2 + 3*g - 4.
(g + 1)*(7*g - 4)
Factor -8*s**3/3 + 38*s**2/3 - 52*s/3 + 22/3.
-2*(s - 1)**2*(4*s - 11)/3
Find w, given that 3*w**3/2 + 153*w**2/2 + 2025*w/2 + 1875/2 = 0.
-25, -1
Factor -c**3 + 41*c**2.
-c**2*(c - 41)
Factor 2*h**3/19 - 218*h**2/19 - 928*h/19 + 2712/19.
2*(h - 113)*(h - 2)*(h + 6)/19
Find c such that c**4/2 - 12*c**3 + 45*c**2/2 - 11*c = 0.
0, 1, 22
Let -3*v**2 - 99*v + 444 = 0. What is v?
-37, 4
Suppose 5*m**4 + 70*m**3 + 240*m**2 - 70*m - 245 = 0. What is m?
-7, -1, 1
Factor 5*z**3 + 35*z**2 + 75*z + 45.
5*(z + 1)*(z + 3)**2
Factor -12100*g**4 + 72160*g**3 - 106264*g**2 - 3936*g - 36.
-4*(g - 3)**2*(55*g + 1)**2
Suppose 27*h**2 + 12*h - 15 = 0. What is h?
-1, 5/9
Solve -c**2/2 - 2051*c/2 + 1026 = 0 for c.
-2052, 1
Factor -2*b**3/9 + 72*b**2 + 3290*b/9.
-2*b*(b - 329)*(b + 5)/9
Suppose -2*o**5/9 + 20*o**4/9 - 26*o**3/9 - 40*o**2/3 - 8*o = 0. What is o?
-1, 0, 6
Find i, given that 2*i**5 + 4*i**4 - 52*i**3 + 112*i**2 - 94*i + 28 = 0.
-7, 1, 2
Solve -5*r**5/2 + 75*r**4/2 + 130*r**3 + 90*r**2 = 0 for r.
-2, -1, 0, 18
Factor 2*y**3 - 18*y**2 + 30*y - 14.
2*(y - 7)*(y - 1)**2
Suppose 468*g**4 - 552*g**3 + 112*g**2 + 32*g = 0. What is g?
-2/13, 0, 2/3
Factor 5*x**5 - 215*x**4 + 1680*x**3 + 14400*x**2.
5*x**2*(x - 24)**2*(x + 5)
Factor 5*j**4 - 210*j**3 + 1560*j**2 - 2350*j - 4125.
5*(j - 33)*(j - 5)**2*(j + 1)
What is q in -q**5/5 - 7*q**4 + 161*q**3/5 + 39*q**2 = 0?
-39, -1, 0, 5
Solve g**2 - 60*g = 0 for g.
0, 60
Factor 3*x**5 - 18*x**4 - 24*x**3 + 18*x**2 + 21*x.
3*x*(x - 7)*(x - 1)*(x + 1)**2
Determine t so that 3*t**5 - 10*t**4 - 15*t**3 + 30*t**2 - 8*t = 0.
-2, 0, 1/3, 1, 4
Factor 3*b**2 + 14781*b + 14778.
3*(b + 1)*(b + 4926)
Factor j**3/5 + 7*j**2/5 - 117*j/5 - 891/5.
(j - 11)*(j + 9)**2/5
Factor 2*f**4/7 - 1184*f**3/7 + 176412*f**2/7 - 349280*f/7 + 174050/7.
2*(f - 295)**2*(f - 1)**2/7
Determine i, given that 3*i**3/4 + 1047*i**2/4 + 90825*i/4 - 91875/4 = 0.
-175, 1
Factor 2*x**4 + 36*x**3 + 168*x**2 - 196*x - 2058.
2*(x - 3)*(x + 7)**3
Factor d**4/4 + 3*d**3/4 - d**2/4 - 3*d/4.
d*(d - 1)*(d + 1)*(d + 3)/4
Determine d, given that -75*d**5/7 - 3390*d**4/7 + 65448*d**3/7 + 3198288*d**2/7 - 2589168*d/7 + 519840/7 = 0.
-38, 2/5, 30
Factor -5*j**2 + 430*j - 9245.
-5*(j - 43)**2
Let k**2/5 - 396*k/5 + 39204/5 = 0. What is k?
198
Let 2*k**5/7 - 8*k**4 + 436*k**3/7 - 520*k**2/7 - 1014*k/7 = 0. Calculate k.
-1, 0, 3, 13
Find y, given that -y**2/5 + 8*y/5 + 13 = 0.
-5, 13
Factor -2*g**4/5 - 4*g**3 - 56*g**2/5 - 48*g/5.
-2*g*(g + 2)**2*(g + 6)/5
Factor -4*g**3 + 2296*g**2 - 4580*g + 2288.
-4*(g - 572)*(g - 1)**2
Factor o**4/3 + 19*o**3/3 + 35*o**2/3 + 17*o/3.
o*(o + 1)**2*(o + 17)/3
Factor -12*s**3 + 28180*s**2 - 16548704*s + 5513104.
-4*(s - 1174)**2*(3*s - 1)
Find k, given that k**2/4 - 38*k - 153/4 = 0.
-1, 153
Solve -10*d**4 - 42*d**3 + 40*d**2 = 0.
-5, 0, 4/5
Solve -2*b**5/3 + 106*b**4/3 - 450*b**3 - 486*b**2 = 0 for b.
-1, 0, 27
Solve 25*l**5 - 115*l**4 + 135*l**3 - 45*l**2 = 0 for l.
0, 3/5, 1, 3
Factor 3*i**2 + 1728*i - 1731.
3*(i - 1)*(i + 577)
Determine h, given that -5*h**4 - 550*h**3 - 17165*h**2 - 112200*h - 208080 = 0.
-51, -4
Solve 38*s**4/13 - 2*s**3/13 - 38*s**2/13 + 2*s/13 = 0.
-1, 0, 1/19, 1
What is u in -2*u**5/7 + 2*u**4/7 + 20*u**3/7 - 8*u**2/7 - 48*u/7 = 0?
-2, 0, 2, 3
Factor 2*c**5 + 16*c**4 - 18*c**3.
2*c**3*(c - 1)*(c + 9)
Let -5*a**3 + 400*a**2 - 1875*a = 0. What is a?
0, 5, 75
Factor -3*r**4 - 36*r**3 - 144*r**2 - 192*r.
-3*r*(r + 4)**3
Suppose -2*s**4/3 + 3592*s**3/3 - 1605608*s**2/3 - 2155200*s - 2160000 = 0. What is s?
-2, 900
Let 125*r**5 + 475*r**4 - 1305*r**3 - 3115*r**2 - 1760*r - 300 = 0. What is r?
-5, -1, -2/5, 3
Determine h, given that 38*h**4 + 88*h**3 + 24*h**2 = 0.
-2, -6/19, 0
Solve 3*u**3/4 - 69*u**2/4 + 33*u/2 = 0.
0, 1, 22
Find z such that -z**2/6 - z/2 = 0.
-3, 0
Factor -2*b**2/15 + 16892*b/15 - 35667458/15.
-2*(b - 4223)**2/15
Factor a**4/4 - 5*a**3/4 - 7*a**2/4 + 5*a/4 + 3/2.
(a - 6)*(a - 1)*(a + 1)**2/4
Factor -2*n**3 - 24*n**2 - 46*n + 72.
-2*(n - 1)*(n + 4)*(n + 9)
Solve 3*j**3 - 27*j**2 - 300*j + 2700 = 0 for j.
-10, 9, 10
Factor 4*y**5 + 44*y**4 - 100*y**3 + 52*y**2.
4*y**2*(y - 1)**2*(y + 13)
Factor 320*v**4 + 2320*v**3 - 1860*v**2 + 475*v - 40.
5*(v + 8)*(4*v - 1)**3
Factor -i**4 - 63*i**3 - 1323*i**2 - 9261*i.
-i*(i + 21)**3
Factor -3*k**2 - 51*k + 54.
-3*(k - 1)*(k + 18)
Factor g**3 + 419*g**2.
g**2*(g + 419)
Find r such that -4*r**5 + 40*r**3 - 80*r**2 + 60*r - 16 = 0.
-4, 1
What is u in 4*u**3/9 - 110*u**2 + 494*u/9 = 0?
0, 1/2, 247
Factor 4*y**2/9 - 10*y/9 - 2/3.
2*(y - 3)*(2*y + 1)/9
What is o in -o**2/3 + 320*o/3 + 432 = 0?
-4, 324
Factor -16*g**3/7 - 12*g**2/7 - 2*g/7.
-2*g*(2*g + 1)*(4*g + 1)/7
Suppose -6*v**2/7 - 130*v/7 - 12 = 0. Calculate v.
-21, -2/3
Suppose -2*c**3/17 + 1470*c**2/17 - 270846*c/17 + 269378/17 = 0. What is c?
1, 367
Factor -3*x**2 - 3942*x - 1294947.
-3*(x + 657)**2
Factor o**3 - 48*o + 128.
(o - 4)**2*(o + 8)
Factor 85*w**3 - 1005*w**2 + 2880*w + 540.
5*(w - 6)**2*(17*w + 3)
Factor k**2/2 - 591*k + 349281/2.
(k - 591)**2/2
Let 2*n**5/11 - 272*n**4/11 + 790*n**3 + 37804*n**2/11 + 48440*n/11 + 19600/11 = 0. What is n?
-2, -1, 70
Factor -2730*n**2 + 395*n + 10.
-5*(6*n - 1)*(91*n + 2)
Suppose 3*d**4/7 + 48*d**3/7 + 12*d**2 = 0. What is d?
-14, -2, 0
Factor u**2/4 - 23*u/4 + 30.
(u - 15)*(u - 8)/4
Find k, given that k**3 + 875*k**2 - 876*k = 0.
-876, 0, 1
Factor -21*s**2/4 + 1471*s/2 - 70.
-(s - 140)*(21*s - 2)/4
Factor 25*k**2 + 2315*k - 930.
5*(k + 93)*(5*k - 2)
Factor -4*m**2 + 288*m - 5184.
-4*(m - 36)**2
What is x in 2*x**3 - 192*x**2 - 194*x = 0?
-1, 0, 97
Find u such that -4*u**5 - 192*u**4 - 1404*u**3 = 0.
-39, -9, 0
Suppose 2*y**2 + 728*y - 730 = 0. Calculate y.
-365, 1
Factor -5*m**2/6 + 185*m/6 - 30.
-5*(m - 36)*(m - 1)/6
Let 3*r**2 - 3588*r + 1072812 = 0. Calculate r.
598
Determine z so that -6*z**3/7 - 48*z**2/7 - 90*z/7 = 0.
-5, -3, 0
Suppose -n**2/5 - 8*n + 441/5 = 0. What is n?
-49, 9
Determine h so that -3*h**5 + 78*h**4 - 714*h**3 + 2676*h**2 - 3507*h + 1470 = 0.
1, 7, 10
Suppose -5*k**2 - 28020*k = 0. Calculate k.
-5604, 0
Factor d**4/12 - 5*d**3/4 - d**2/12 + 5*d/4.
d*(d - 15)*(d - 1)*(d + 1)/12
Factor c**4/4 + 5*c**3/2 + 17*c**2/4 + 2*c.
c*(c + 1)**2*(c + 8)/4
Solve -2*v**2 + 2968*v - 1101128 = 0 for v.
742
Determine p so that p**2 - 3*p + 2 = 0.
1, 2
Factor -2*b**2