
-3, -2/7, 0, 1
Find t such that -4*t**5 - 8*t**4 + 4*t**3 + 8*t**2 = 0.
-2, -1, 0, 1
Determine f, given that 10*f**2/9 + 206*f - 124 = 0.
-186, 3/5
Let 3*i**3/7 - 51*i**2/7 + 18*i = 0. Calculate i.
0, 3, 14
Suppose -5*q**4 + 5*q**3 + 55*q**2 - 45*q - 90 = 0. Calculate q.
-3, -1, 2, 3
What is j in -3*j**2/4 - 51*j/4 + 27/2 = 0?
-18, 1
Factor -2*n**4/11 - 228*n**3/11 - 630*n**2 - 2200*n.
-2*n*(n + 4)*(n + 55)**2/11
Factor -12*p**2 - 400*p - 132.
-4*(p + 33)*(3*p + 1)
Factor 2*c**2 + 90*c + 648.
2*(c + 9)*(c + 36)
Find p, given that -6*p**5 - 45*p**4 - 54*p**3 + 3*p**2 + 18*p = 0.
-6, -1, 0, 1/2
Find o such that 2*o**2/11 + 116*o/11 + 432/11 = 0.
-54, -4
Let -10*b**5 - 1080*b**4 - 60445*b**3/2 - 115015*b**2/2 - 70755*b/2 - 14045/2 = 0. What is b?
-53, -1, -1/2
Suppose 196*s**5/5 + 4592*s**4/5 - 12864*s**3/5 + 6208*s**2/5 - 832*s/5 = 0. What is s?
-26, 0, 2/7, 2
Suppose 3*t**2/7 - 111*t/7 - 114/7 = 0. Calculate t.
-1, 38
Let 5*a**3/4 + 1060*a**2 - 2125*a = 0. What is a?
-850, 0, 2
Suppose -10*o**5/9 + 28*o**4/9 + 4*o**3 - 104*o**2/9 + 38*o/9 + 4/3 = 0. What is o?
-2, -1/5, 1, 3
Factor 3*z**2/7 + 225*z/7 - 228/7.
3*(z - 1)*(z + 76)/7
Factor -39*y**4/5 - 72*y**3/5 - 27*y**2/5 + 6*y/5.
-3*y*(y + 1)**2*(13*y - 2)/5
Factor 3*m**3 + 15*m**2 + 12*m.
3*m*(m + 1)*(m + 4)
Find f, given that -4*f**4 + 4*f**2 = 0.
-1, 0, 1
Find g, given that 2*g**3 + 30*g**2 + 54*g + 26 = 0.
-13, -1
Let 3*y**4/4 + 165*y**3/4 + 159*y**2/4 - 165*y/4 - 81/2 = 0. What is y?
-54, -1, 1
Factor -3*c**4 + 6*c**3 - 6*c + 3.
-3*(c - 1)**3*(c + 1)
Determine s so that -3*s**5 - 12*s**4 + 42*s**3 + 216*s**2 + 81*s - 324 = 0.
-3, 1, 4
Factor 7*r**3 + 23112*r**2 + 19074003*r - 5451602.
(r + 1651)**2*(7*r - 2)
Factor 2*i**4/5 + 42*i**3/5 + 142*i**2/5 + 102*i/5.
2*i*(i + 1)*(i + 3)*(i + 17)/5
Factor 2*t**4 - 2*t**3 - 24*t**2 - 8*t + 32.
2*(t - 4)*(t - 1)*(t + 2)**2
Factor -2*b**3/3 + 1402*b**2/3 - 83056*b + 403680.
-2*(b - 348)**2*(b - 5)/3
Factor b**2 - 124*b + 244.
(b - 122)*(b - 2)
Factor h**2/6 + 94*h/3 - 455/2.
(h - 7)*(h + 195)/6
Determine o so that 2*o**4/7 + 160*o**3/7 + 766*o**2/7 + 1208*o/7 + 600/7 = 0.
-75, -2, -1
Find j, given that 3*j**4/2 - 3*j**3/2 - 9*j**2/2 + 3*j/2 + 3 = 0.
-1, 1, 2
Determine d so that -d**4/6 - 59*d**3/6 + 61*d**2/2 - 185*d/6 + 31/3 = 0.
-62, 1
Suppose -q**4 + 2*q**3 + 13*q**2 + 10*q = 0. Calculate q.
-2, -1, 0, 5
Find c such that -c**3/5 - 16*c**2/5 - 51*c/5 - 36/5 = 0.
-12, -3, -1
Factor 4*x**2 - 208*x.
4*x*(x - 52)
Determine l, given that -l**3/8 - 123*l**2/8 - 3843*l/8 - 3721/8 = 0.
-61, -1
Suppose 2*t**3/7 - 44*t**2/7 - 386*t/7 - 580/7 = 0. What is t?
-5, -2, 29
Let d**3 - 183*d**2 - 369*d - 185 = 0. What is d?
-1, 185
Suppose -3*g**4 - 45*g**3 + 192*g**2 + 3312*g - 3456 = 0. Calculate g.
-12, 1, 8
Factor 3*n**4/7 + 9*n**3/7 - 27*n**2/7 + 15*n/7.
3*n*(n - 1)**2*(n + 5)/7
Determine p, given that -p**5/6 + p**4 - 4*p**3/3 = 0.
0, 2, 4
Factor 5*b**2 - 1230*b + 75645.
5*(b - 123)**2
Find d such that d**2/4 - 149*d + 22201 = 0.
298
Factor 8*m**5/9 + 4*m**4/9 - 2*m**3 + 11*m**2/9 - 2*m/9.
m*(m + 2)*(2*m - 1)**3/9
Factor b**4/3 - b**3/3 - 10*b**2/3 - 8*b/3.
b*(b - 4)*(b + 1)*(b + 2)/3
Determine c so that 4*c**2 - 468*c = 0.
0, 117
Factor -5*n**3 + 18*n**2 + 68*n + 24.
-(n - 6)*(n + 2)*(5*n + 2)
Solve 2*w**5/3 - 5*w**4 - 62*w**3/3 + 121*w**2/3 - 2*w - 40/3 = 0 for w.
-4, -1/2, 1, 10
Solve -3*n**4 + 95*n**3 + 202*n**2 = 0.
-2, 0, 101/3
Find q such that 6*q**3 - 75*q**2 - 42*q + 39 = 0.
-1, 1/2, 13
Factor -2*a**3/5 - 3414*a**2/5 - 1942566*a/5 - 368440018/5.
-2*(a + 569)**3/5
What is y in 14*y**5 + 144*y**4 + 278*y**3 + 180*y**2 + 32*y = 0?
-8, -1, -2/7, 0
Solve 10*y**4/9 + 4*y**3 + 14*y**2/9 - 4*y/3 = 0 for y.
-3, -1, 0, 2/5
Determine z so that -z**5 - 58*z**4 + 181*z**3 - 122*z**2 = 0.
-61, 0, 1, 2
Solve -3*d**5/2 - 22*d**4 + 233*d**3/2 - 135*d**2 - 34*d + 76 = 0.
-19, -2/3, 1, 2
Factor 9*w**3/2 + 111*w**2/2 + 108*w + 30.
3*(w + 2)*(w + 10)*(3*w + 1)/2
Factor -5*s**2 - 65070*s - 211705245.
-5*(s + 6507)**2
Find r, given that -100*r**4 - 520*r**3 - 436*r**2 + 624*r - 144 = 0.
-3, 2/5
Factor -2*p**4/15 - 34*p**3/15 - 6*p**2 - 86*p/15 - 28/15.
-2*(p + 1)**3*(p + 14)/15
Factor -3*n**4 - 360*n**3 - 16200*n**2 - 324000*n - 2430000.
-3*(n + 30)**4
Factor -2*o**2/3 - 2*o + 12.
-2*(o - 3)*(o + 6)/3
Let p**2/2 + 483*p + 965/2 = 0. What is p?
-965, -1
Find d, given that d**4/4 - 19*d**3/2 - 79*d**2/4 - 10*d = 0.
-1, 0, 40
Factor 3*j**2 - 585*j/8 + 27.
3*(j - 24)*(8*j - 3)/8
Factor 3*i**4 + 24*i**3 - 234*i**2 - 528*i - 273.
3*(i - 7)*(i + 1)**2*(i + 13)
Solve -3*h**2/2 - 348*h = 0 for h.
-232, 0
Let -10*i**4 - 56*i**3 - 66*i**2 + 36*i = 0. Calculate i.
-3, 0, 2/5
Suppose -14*q**4 + 514*q**3 - 328*q**2 - 1144*q - 288 = 0. What is q?
-1, -2/7, 2, 36
Factor -6075*v**3 - 85590*v**2 - 7572*v - 168.
-3*(v + 14)*(45*v + 2)**2
Find j such that 15*j**3/7 + 699*j**2/7 - 282*j/7 = 0.
-47, 0, 2/5
Determine n, given that 6*n**5/7 + 3753*n**4/7 + 84240*n**3 + 876093*n**2/7 - 1872*n/7 - 292032/7 = 0.
-312, -1, 1/2
Factor -2*t**2 + 160*t - 312.
-2*(t - 78)*(t - 2)
Factor 2*r**5/3 + 34*r**4/3 + 212*r**3/3 + 616*r**2/3 + 848*r/3 + 448/3.
2*(r + 2)**3*(r + 4)*(r + 7)/3
Factor y**2/7 + 4*y/7.
y*(y + 4)/7
Suppose -b**4/3 - 2*b**3 + 9*b**2 - 4*b/3 - 12 = 0. Calculate b.
-9, -1, 2
Find c, given that -3*c**2 - 3744*c - 3741 = 0.
-1247, -1
Factor -2*b**5/5 - 12*b**4/5 + 144*b**3/5.
-2*b**3*(b - 6)*(b + 12)/5
Find w, given that 2*w**2 - 852*w = 0.
0, 426
Let -j**2/6 - 71*j/6 - 84 = 0. Calculate j.
-63, -8
Factor -2*s**3/9 - 28*s**2/9 - 70*s/9 + 100/9.
-2*(s - 1)*(s + 5)*(s + 10)/9
Let 2*q**3 - 94*q**2 + 832*q + 6760 = 0. Calculate q.
-5, 26
Factor -4*r**2 + 12*r.
-4*r*(r - 3)
Solve n**3/7 + 143*n**2/7 + 5183*n/7 + 5041/7 = 0 for n.
-71, -1
Factor 4*f**4/9 + 4*f**3/3 - 28*f**2/9 - 20*f/3 + 8.
4*(f - 2)*(f - 1)*(f + 3)**2/9
Solve 4*w**4/3 + 11*w**3/3 - 96*w**2 + 55*w/3 + 350/3 = 0 for w.
-10, -1, 5/4, 7
What is a in -3*a**4/2 - 3*a**3/2 + 39*a**2 - 36*a = 0?
-6, 0, 1, 4
Factor 1458*c**3/11 + 13608*c**2 + 465696*c + 5312384.
2*(9*c + 308)**3/11
Factor -4*g**2 + 68*g + 1392.
-4*(g - 29)*(g + 12)
Factor 5*y**4 + 955*y**3 + 45110*y**2 - 48000*y - 92160.
5*(y - 2)*(y + 1)*(y + 96)**2
Factor 3*i**2 - 3486*i - 3489.
3*(i - 1163)*(i + 1)
Find c, given that -3*c**3/5 + 93*c**2/5 = 0.
0, 31
Solve -5*m**3 + 5*m**2 + 450*m = 0 for m.
-9, 0, 10
Factor 3*z**3 - 48*z**2 + 105*z + 156.
3*(z - 13)*(z - 4)*(z + 1)
Let r**2/6 + 1375*r/6 + 229 = 0. What is r?
-1374, -1
Suppose -30*y**4 + 115*y**3 - 130*y**2 + 35*y + 10 = 0. Calculate y.
-1/6, 1, 2
Find d such that -2*d**5 - 159*d**4/2 + 102*d**3 - 41*d**2/2 = 0.
-41, 0, 1/4, 1
What is b in 5*b**3/3 + 10*b**2 - 25*b - 500/3 = 0?
-5, 4
What is w in w**3/6 - 157*w**2/6 - w/6 + 157/6 = 0?
-1, 1, 157
Determine a so that -48*a**5 - 2664*a**4 + 1341*a**3 - 168*a**2 = 0.
-56, 0, 1/4
Find a, given that -60*a**3/7 + 1732*a**2/7 + 264*a/7 - 928/7 = 0.
-4/5, 2/3, 29
Factor 5*j**3 + 460*j**2 + 900*j.
5*j*(j + 2)*(j + 90)
Factor -264110*o**5 + 313845*o**4 - 143080*o**3 + 30520*o**2 - 2880*o + 80.
-5*(7*o - 2)**4*(22*o - 1)
Suppose -4*j**5 + 36*j**4 + 12*j**3 - 100*j**2 - 72*j = 0. What is j?
-1, 0, 2, 9
Find w such that 3*w**5/2 + 9*w**4/2 + 3*w**3 - 3*w**2 - 9*w/2 - 3/2 = 0.
-1, 1
Let -2*x**3/7 + 2*x**2/7 + 44*x/7 - 80/7 = 0. Calculate x.
-5, 2, 4
Determine f, given that -3*f**2 - 201*f + 630 = 0.
-70, 3
Factor 6*i**3 + 4*i**2.
2*i**2*(3*i + 2)
Suppose 3*s**3 - 2514*s**2 + 531675*s - 2086668 = 0. Calculate s.
4, 417
Determine p so that p**2/4 + 8*p + 63 = 0.
-18, -14
Suppose 4*n**3 - 48*n**2 + 144*n - 128 = 0. Calculate n.
2, 8
Find h, given that 4*h**5 - 124*h**4 - 276*h**3 + 396*h**2 = 0.
-3, 0, 1, 33
Determine y so that -2*y**4/3 + 64*y**3/3 + 68*y**2/3 - 64*y/3 - 22 = 0.
-1, 1, 33
Let -p**2/2 + 4*p = 0. Calculate p.
0, 8
Find g, given that -4*g**4 + 12*g**3 + 12*g**2 - 28*g - 24 = 0.
-1, 2, 3
Solve y**4/9 - y**3/3 - 10*y**2/9 = 0.
-2, 0, 5
Factor 3*z**3/5 + 138*z**2 + 4059*z/5 + 6048/5.
3*(z + 3)**2*(z + 224)/5
Solve -z**3/8 - 43*z**2/8 + 185*z/8 - 141/8 = 0.
-47, 1, 3
Solve k**5/3 + 13*k**4/3 + 17*k**3 + 21*k**2 = 0 for k.
-7, -3, 0
What is r in 3*r**2 - 39*r + 90 = 0?
3, 10
Factor r**5/2 + 47*r**4/2 + 231*r**3 - 839*r**2 + 1777*r/2 - 609/2.
(r - 1)**3*(r + 21)*(r + 29)/2
