What is x in -5*x**4/4 - 995*x**3/4 - 495*x**2/2 = 0?
-198, -1, 0
Factor 2*g**3/7 - 10*g**2/7 - 8*g/7 + 40/7.
2*(g - 5)*(g - 2)*(g + 2)/7
Factor 3*b**4 - 21*b**3 - 30*b**2 + 48*b.
3*b*(b - 8)*(b - 1)*(b + 2)
Factor 4*s**2 - 36*s.
4*s*(s - 9)
Determine x, given that -2*x**4/3 - 140*x**3/3 + 286*x**2/3 - 48*x = 0.
-72, 0, 1
Factor -2*q**2/11 - 2*q/11.
-2*q*(q + 1)/11
Let b**4 - 27*b**3 + 63*b**2 + 211*b + 120 = 0. What is b?
-1, 5, 24
Find t such that 4*t**3/5 - 44*t**2/5 + 32*t - 192/5 = 0.
3, 4
What is n in -4*n**3 + 8*n**2 + 36*n - 72 = 0?
-3, 2, 3
Solve -t**5 + 17*t**4 + 19*t**3 - 17*t**2 - 18*t = 0.
-1, 0, 1, 18
Factor 2*n**4 + 24*n**3 + 46*n**2 - 72*n.
2*n*(n - 1)*(n + 4)*(n + 9)
Determine u, given that u**3/6 - 1367*u**2/6 + 2731*u/6 - 455/2 = 0.
1, 1365
Find t such that -4*t**4/7 - 100*t**3/7 + 100*t**2 - 1340*t/7 + 744/7 = 0.
-31, 1, 2, 3
Find p such that p**2/4 + 265*p/4 = 0.
-265, 0
Factor 2*l**3/11 + 18*l**2/11 + 48*l/11 + 40/11.
2*(l + 2)**2*(l + 5)/11
Factor -3*y**3 - 36*y**2 - 105*y.
-3*y*(y + 5)*(y + 7)
Factor -4*m**4 + 4*m**3 + 52*m**2 - 100*m + 48.
-4*(m - 3)*(m - 1)**2*(m + 4)
Factor -9*t**3/2 + 2559*t**2/2 - 426*t.
-3*t*(t - 284)*(3*t - 1)/2
Determine v so that 2*v**3/7 + 2*v**2/7 - 10*v/7 + 6/7 = 0.
-3, 1
Factor 5*g**2 - 165*g + 450.
5*(g - 30)*(g - 3)
Let -p**5 - 15*p**4 - 37*p**3 - 9*p**2 + 38*p + 24 = 0. What is p?
-12, -2, -1, 1
Factor 2*y**5/9 - 34*y**4/9 + 14*y**3 + 18*y**2.
2*y**2*(y - 9)**2*(y + 1)/9
Find x, given that -16*x**5 + 4*x**4 + 64*x**3 - 16*x**2 = 0.
-2, 0, 1/4, 2
Suppose -4*h**5/3 - 26*h**4/3 - 32*h**3/3 - 10*h**2/3 = 0. What is h?
-5, -1, -1/2, 0
What is i in -72*i**4/7 - 408*i**3/7 + 646*i**2/7 - 180*i/7 + 2 = 0?
-7, 1/6, 1
Factor -3*f**3/2 - 174*f**2 + 2250*f - 6912.
-3*(f - 6)**2*(f + 128)/2
Solve 2*d**3/19 - 42*d**2/19 - 44*d/19 = 0.
-1, 0, 22
Factor -16*j**2/5 - 22*j/5 - 6/5.
-2*(j + 1)*(8*j + 3)/5
Suppose -3*c**5/2 - 21*c**4/2 - 27*c**3/2 + 21*c**2/2 + 15*c = 0. What is c?
-5, -2, -1, 0, 1
Let -2*q**3/9 - 8*q**2/9 - 2*q/3 = 0. What is q?
-3, -1, 0
Find w such that 2*w**3 - 716*w**2/5 + 422*w/5 + 284/5 = 0.
-2/5, 1, 71
Let 315*n**5 - 615*n**4 + 395*n**3 - 105*n**2 + 10*n = 0. Calculate n.
0, 2/7, 1/3, 1
Determine o, given that 5*o**5 - 5*o**4 - 20*o**3 + 20*o**2 = 0.
-2, 0, 1, 2
Factor -2*i**5/5 + 22*i**4/5 - 84*i**3/5 + 136*i**2/5 - 16*i.
-2*i*(i - 5)*(i - 2)**3/5
Factor -3*j**5/2 - 507*j**4/2 - 11085*j**3 - 31749*j**2 - 62499*j/2 - 20667/2.
-3*(j + 1)**3*(j + 83)**2/2
Solve -4*t**4 + 13*t**3 + 37*t**2 - 10*t = 0 for t.
-2, 0, 1/4, 5
Suppose s**2/4 - 29*s/4 = 0. What is s?
0, 29
Suppose 5*d**2 - 55*d + 90 = 0. Calculate d.
2, 9
Find j, given that -5*j**5 + 365*j**4 - 6840*j**3 + 6480*j**2 = 0.
0, 1, 36
Let 2*z**3/9 - 10*z**2/3 - 12*z = 0. Calculate z.
-3, 0, 18
What is r in 2*r**2/11 + 26*r/11 = 0?
-13, 0
Let 5*y**2 + 120*y + 115 = 0. What is y?
-23, -1
Factor -t**4/3 + 55*t**3/3 - 187*t**2 + 1985*t/3 - 2150/3.
-(t - 43)*(t - 5)**2*(t - 2)/3
Let -180*f**5 - 212*f**4 + 704*f**3 + 864*f**2 + 64*f - 64 = 0. Calculate f.
-2, -1, -2/5, 2/9, 2
Suppose 7*d**3 - 47*d**2 - 14*d = 0. What is d?
-2/7, 0, 7
Factor -w**4 - 5*w**3 + 24*w**2.
-w**2*(w - 3)*(w + 8)
Find h, given that -h**5/4 + 2*h**4 - 9*h**3/2 + 4*h**2 - 5*h/4 = 0.
0, 1, 5
Determine v, given that 7*v**4 - 40*v**3 - 117*v**2 - 86*v - 16 = 0.
-1, -2/7, 8
Determine x so that x**4 - 17*x**3 + 108*x**2 - 304*x + 320 = 0.
4, 5
Determine y, given that y**4 - 159*y**3 + 6397*y**2 - 5925*y - 12482 = 0.
-1, 2, 79
Factor -3*k**2 - 39*k/2 + 36.
-3*(k + 8)*(2*k - 3)/2
Determine f, given that 2*f**2/15 + 40*f/3 + 1000/3 = 0.
-50
Factor -3*n**2/5 + 3*n/5 + 18/5.
-3*(n - 3)*(n + 2)/5
Factor 2*n**2/11 + 96*n/11 - 416/11.
2*(n - 4)*(n + 52)/11
Find m such that 2*m**5 - 332*m**4 = 0.
0, 166
Factor 2*h**5/5 - 44*h**4/5 + 156*h**3/5 - 224*h**2/5 + 146*h/5 - 36/5.
2*(h - 18)*(h - 1)**4/5
Find a such that -4*a**4 + 48*a**3 - 192*a**2 + 320*a - 192 = 0.
2, 6
Find p, given that -p**5 + 10*p**4/3 + 74*p**3/3 + 32*p**2/3 - 71*p/3 - 14 = 0.
-3, -1, -2/3, 1, 7
Suppose -g**3 - 2*g**2 = 0. Calculate g.
-2, 0
Factor 3*p**2 - 360*p - 363.
3*(p - 121)*(p + 1)
Factor 7*o**2/4 - 136*o - 39.
(o - 78)*(7*o + 2)/4
Let -4*b**2 - 64*b = 0. Calculate b.
-16, 0
Find y such that -y**5/2 - 4*y**4 - 12*y**3 - 17*y**2 - 23*y/2 - 3 = 0.
-3, -2, -1
Let -7*g**2/4 - 1261*g/2 - 180 = 0. Calculate g.
-360, -2/7
Let 12*x**5/5 - 2013*x**4/5 - 516*x**3/5 + 2013*x**2/5 + 504*x/5 = 0. What is x?
-1, -1/4, 0, 1, 168
Factor 3*h**2 + 606*h + 2955.
3*(h + 5)*(h + 197)
Factor 3*n**2/8 + 165*n/4 + 9075/8.
3*(n + 55)**2/8
Suppose 2*m**4/9 + 8*m**3/9 - 34*m**2/9 - 16*m/3 + 8 = 0. What is m?
-6, -2, 1, 3
Factor -3*r**2/5 + 78*r/5 - 15.
-3*(r - 25)*(r - 1)/5
Suppose -400*j**5 - 5080*j**4 + 1631*j**3 + 911*j**2 - 160*j - 52 = 0. Calculate j.
-13, -1/4, 2/5
Factor 30*q**3/11 - 7*q**2/11 - 2*q/11.
q*(5*q - 2)*(6*q + 1)/11
Factor -q**5/10 - 13*q**4/5 - 169*q**3/10.
-q**3*(q + 13)**2/10
Factor -2*k**2/9 + 70*k/9 - 68/9.
-2*(k - 34)*(k - 1)/9
Find x, given that -76*x**3 - 148*x**2 + 8*x = 0.
-2, 0, 1/19
Factor -6*q**2 - 34*q.
-2*q*(3*q + 17)
Solve -u**3/2 - 21*u**2/2 - 60*u - 50 = 0 for u.
-10, -1
Factor -2*q**2/9 - 64*q - 4608.
-2*(q + 144)**2/9
Suppose -2*n**5/21 + 4*n**4/7 - 6*n**3/7 + 8*n**2/21 = 0. What is n?
0, 1, 4
Find n, given that 3*n**5/5 - 63*n**4/5 + 402*n**3/5 - 858*n**2/5 + 747*n/5 - 231/5 = 0.
1, 7, 11
Find y, given that 4*y**5 + 28*y**4 + 44*y**3 - 28*y**2 - 48*y = 0.
-4, -3, -1, 0, 1
Solve 2*o**5 - 64*o**4 + 114*o**3 + 188*o**2 - 232*o - 240 = 0.
-1, 2, 30
Solve 5*b**5 - 80*b**4 + 320*b**3 - 530*b**2 + 395*b - 110 = 0.
1, 2, 11
Factor -4*c**4/5 - 188*c**3 - 11500*c**2 - 52900*c.
-4*c*(c + 5)*(c + 115)**2/5
Factor -2*u**3 + 5314*u**2 + 5320*u - 10632.
-2*(u - 2658)*(u - 1)*(u + 2)
Suppose 4*y**2 + 168*y - 352 = 0. Calculate y.
-44, 2
Factor -3*m**3/2 + 99*m**2/2 + 216*m + 222.
-3*(m - 37)*(m + 2)**2/2
Let -o**4 + 64*o**3 - 814*o**2 - 6720*o - 11025 = 0. Calculate o.
-3, 35
Factor 2*q**3 - 162*q**2 - 852*q - 688.
2*(q - 86)*(q + 1)*(q + 4)
Solve 3*h**3 - 3*h = 0.
-1, 0, 1
What is z in -4*z**4/5 + 108*z**2/5 - 216*z/5 = 0?
-6, 0, 3
What is z in 3*z**5 - 1515*z**4 + 193518*z**3 - 565494*z**2 - 193521*z + 567009 = 0?
-1, 1, 3, 251
Factor 2*m**4/15 + 12*m**3/5.
2*m**3*(m + 18)/15
Factor -5*u**2 - 185*u + 390.
-5*(u - 2)*(u + 39)
Factor -2*t**5/9 + 2222*t**4/3 - 26644*t**3/9 + 39956*t**2/9 - 8878*t/3 + 6658/9.
-2*(t - 3329)*(t - 1)**4/9
Determine h so that h**3/2 - 257*h**2/2 + 508*h - 506 = 0.
2, 253
Factor -4*v**2 + 40*v - 96.
-4*(v - 6)*(v - 4)
Factor -d**2/2 + 468*d - 109512.
-(d - 468)**2/2
What is o in 5*o**3 + 1235*o**2 + 2455*o + 1225 = 0?
-245, -1
Solve -2*c**4/5 - 82*c**3/5 - 156*c**2/5 = 0 for c.
-39, -2, 0
Solve -2*f**2 - 716*f - 64082 = 0.
-179
Factor -3*v**2 - 93*v - 174.
-3*(v + 2)*(v + 29)
Solve 81*v**4/2 + 153*v**3/2 - 199*v**2 - 208*v - 48 = 0.
-3, -4/9, 2
Factor -2*q**3 + 2284*q**2 - 4562*q + 2280.
-2*(q - 1140)*(q - 1)**2
What is y in 5*y**5 + 100*y**4 - 215*y**3 + 110*y**2 = 0?
-22, 0, 1
Factor -5*u**3 + 4895*u**2.
-5*u**2*(u - 979)
Factor -2*r**3/5 - 884*r**2/5 - 6976*r/5 - 13888/5.
-2*(r + 4)**2*(r + 434)/5
Let -j**4/2 - 8*j**3/3 - 14*j**2/3 - 8*j/3 = 0. What is j?
-2, -4/3, 0
Let f**4 + 5*f**3 - 75*f**2 - 625*f - 1250 = 0. What is f?
-5, 10
Factor 2*q**3 - 28*q**2 + 22*q + 52.
2*(q - 13)*(q - 2)*(q + 1)
Factor 2662*o**5 - 44528*o**4 + 171160*o**3 + 426208*o**2 - 1986944*o - 3511808.
2*(o + 2)**2*(11*o - 76)**3
Factor -r**2/5 + 1317*r/5 + 1318/5.
-(r - 1318)*(r + 1)/5
Determine y so that y**5/3 - 14*y**4/3 - 469*y**3/3 + 7142*y**2/3 + 156*y - 2376 = 0.
-22, -1, 1, 18
Find y, given that -2*y**2/3 - 14*y + 44/3 = 0.
-22, 1
Let -2*f**3/3 + 64*f**2/3 - 122*f/3 + 20 = 0. Calculate f.
1, 30
Let 351*t**5/5 + 414*t**4/5 - 12786*t**3/5 + 10224*t**2/5 - 2637*t/5 + 42 = 0. Calculate t.
-7, 2/13, 1/3, 5
Suppose 4*i**4 - 20*i**3 + 20*i**2 + 20*i - 24 = 0. Calculate i.
-1, 1, 2, 3
Solve y**4/7 + 3921*y**3/7 + 7839*y**2/7 + 3919*y/7 = 0 for y.
-3919, -1, 0
Solve -n**4/2 + 3*n**3/2 - 2*n = 0 for n.
-1, 0, 2
Determine g so that -217*g**5/3 - 201*g**4 + 1016*g**3/3 - 60*g**2 - 16*g/3 = 0.
-4, -2/31, 0, 2/7, 1
Solve -10*x**2/3 - 4*x/3 = 0 for x.
-2/5, 0
Factor -f**5/2 - 11*f**4 - 56*f**3.
-f**3*(f +