t**2 + 102*t = 0. Calculate t.
0, 1, 34
Find p such that 5*p**2 - 640*p + 635 = 0.
1, 127
Let -3*o**2 - 153*o + 1620 = 0. What is o?
-60, 9
Factor j**5/5 - 42*j**4/5 + 588*j**3/5 - 2744*j**2/5.
j**2*(j - 14)**3/5
Factor -5*q**3 - 15*q**2 + 1040*q + 2100.
-5*(q - 14)*(q + 2)*(q + 15)
What is m in -m**2/3 - 25*m/3 - 8 = 0?
-24, -1
What is j in -j**2 - 22*j/3 - 7/3 = 0?
-7, -1/3
Factor 7*o**3 + 457*o**2 + 2608*o + 708.
(o + 6)*(o + 59)*(7*o + 2)
Factor -k**3/2 - 3*k**2/2 + 2*k.
-k*(k - 1)*(k + 4)/2
Factor -4*h**3 + 916*h**2 - 54656*h + 250880.
-4*(h - 112)**2*(h - 5)
Suppose -g**3/4 + g**2 + g - 4 = 0. Calculate g.
-2, 2, 4
Factor m**2 + 91*m + 178.
(m + 2)*(m + 89)
Determine o, given that -o**3/3 + 99*o**2 - 590*o/3 = 0.
0, 2, 295
Factor -4*p**2 - 276*p - 792.
-4*(p + 3)*(p + 66)
Factor 2*a**2 + 32*a + 30.
2*(a + 1)*(a + 15)
Factor k**2/2 - 390*k + 76050.
(k - 390)**2/2
Factor 92*k**2 - 200*k + 32.
4*(k - 2)*(23*k - 4)
Determine n so that -n**2 - 13*n - 36 = 0.
-9, -4
Find p, given that -4*p**5/3 - 814*p**4/9 - 13688*p**3/9 + 1856*p**2/3 + 54944*p/9 - 9248/9 = 0.
-34, -2, 1/6, 2
Find c such that 12*c**4 + 224*c**3 + 352*c**2/3 - 1408*c/3 + 192 = 0.
-18, -2, 2/3
Find y such that y**5/3 - 7*y**3/3 + 2*y**2 = 0.
-3, 0, 1, 2
Factor -q**3/9 + 14*q**2/9 + 5*q/3.
-q*(q - 15)*(q + 1)/9
Factor -j**3/6 + 5*j**2/6 + 2*j/3 - 10/3.
-(j - 5)*(j - 2)*(j + 2)/6
Determine s so that -9*s**2 + 2703*s - 900 = 0.
1/3, 300
Suppose -4*d**4 - 9640*d**3 - 7737696*d**2 - 2063359872*d + 4157747712 = 0. What is d?
-804, 2
Factor -250*m**3 + 4200*m**2 - 23520*m + 43904.
-2*(5*m - 28)**3
Factor 4*m**2 - 36*m.
4*m*(m - 9)
Find y such that 21*y**4 + 40*y**3 - 7*y**2 - 6*y = 0.
-2, -1/3, 0, 3/7
Determine g so that -g**4/2 + 22*g**3 - 137*g**2 + 282*g - 333/2 = 0.
1, 3, 37
Suppose -2*r**3/13 - 4*r**2/13 + 22*r/13 + 24/13 = 0. What is r?
-4, -1, 3
Let 3*a**5 + 555*a**4 + 3258*a**3 + 6468*a**2 + 4296*a = 0. Calculate a.
-179, -2, 0
What is a in 2*a**3/9 + 340*a**2/3 + 43688*a/3 + 258064/9 = 0?
-254, -2
Factor 3*j**5 - 12*j**3 - 6*j**2 + 9*j + 6.
3*(j - 2)*(j - 1)*(j + 1)**3
Find l such that -3*l**5/5 + 63*l**4/5 - 111*l**3/5 - 63*l**2/5 + 114*l/5 = 0.
-1, 0, 1, 2, 19
What is n in -n**3/6 + 61*n**2/3 + 124*n/3 = 0?
-2, 0, 124
Determine z so that -z**5/4 - z**4/2 + 7*z**3 + 25*z**2/2 - 75*z/4 = 0.
-5, -3, 0, 1, 5
Factor 2*p**2 - 84*p - 86.
2*(p - 43)*(p + 1)
Solve 4*m**4/7 - 12*m**3 - 380*m**2/7 - 492*m/7 - 200/7 = 0 for m.
-2, -1, 25
Factor q**3 - 2102*q**2 + 4201*q - 2100.
(q - 2100)*(q - 1)**2
Factor -j**5 - 60*j**4 - 837*j**3 + 1922*j**2.
-j**2*(j - 2)*(j + 31)**2
Factor -r**4/4 + r**3/2 + 3*r**2/4 - 2*r + 1.
-(r - 2)*(r - 1)**2*(r + 2)/4
Factor -4*x**5 + 120*x**4 - 1012*x**3 + 1680*x**2 - 784*x.
-4*x*(x - 14)**2*(x - 1)**2
Factor 2*p**2/5 - 2996*p/5 + 1122002/5.
2*(p - 749)**2/5
Factor -5*j**3 + 55*j**2 - 95*j + 45.
-5*(j - 9)*(j - 1)**2
Suppose o**5/6 - 7*o**4/6 + 7*o**3/3 - 4*o**2/3 = 0. Calculate o.
0, 1, 2, 4
Solve 3*u**3/4 - 9*u**2/4 + 3*u/2 = 0 for u.
0, 1, 2
Solve -2*p**4 - 21*p**3/2 - 37*p**2/2 - 12*p - 2 = 0 for p.
-2, -1, -1/4
Determine l so that -9*l**3/2 + 26*l**2 - 69*l/2 - 9 = 0.
-2/9, 3
Solve 2*u**2/7 + 24*u/7 = 0 for u.
-12, 0
Solve -4*k**4 - 228*k**3 - 2889*k**2 + 10260*k - 8100 = 0 for k.
-30, 3/2
Factor 3*n**3/5 + 1152*n**2/5 + 147456*n/5 + 6291456/5.
3*(n + 128)**3/5
Find z, given that 2*z**3/7 - 36*z**2/7 + 58*z/7 + 96/7 = 0.
-1, 3, 16
Let b**3/2 + 12*b**2 - 120*b - 3200 = 0. Calculate b.
-20, 16
Let -l**2/6 + 2*l/3 + 5/6 = 0. What is l?
-1, 5
Suppose -4*g**4/5 - 84*g**3/5 + 4*g**2/5 + 84*g/5 = 0. Calculate g.
-21, -1, 0, 1
Determine q so that -3*q**4/2 + 9*q**2/2 - 3*q = 0.
-2, 0, 1
Solve -l**3/12 + 7*l**2/12 + 26*l/3 + 20 = 0.
-4, 15
Find t, given that -4*t**3 - 1412*t**2 - 125312*t - 123904 = 0.
-176, -1
Determine v, given that -5*v**2 + 1770*v - 156645 = 0.
177
Factor -5*y**3/2 + 105*y**2/2 - 675*y/2 + 1215/2.
-5*(y - 9)**2*(y - 3)/2
Suppose -20*r**5 + 248*r**4 - 436*r**3 - 464*r**2 + 240*r = 0. Calculate r.
-1, 0, 2/5, 3, 10
Factor -2*a**3 + 2*a**2.
-2*a**2*(a - 1)
Suppose -4*d**4 - 76*d**3 - 416*d**2 - 704*d = 0. Calculate d.
-11, -4, 0
Solve 2*k**3/7 - 24*k**2/7 - 536*k/7 - 960/7 = 0.
-10, -2, 24
Solve 2*z**4/15 + 4*z**3/15 - 2*z**2/15 - 4*z/15 = 0 for z.
-2, -1, 0, 1
Solve -10*l**5 + 44*l**4 - 46*l**3 + 12*l**2 = 0.
0, 2/5, 1, 3
Let 2*n**5/5 - 32*n**4/5 - 52*n**3/5 + 328*n**2/5 - 382*n/5 + 136/5 = 0. What is n?
-4, 1, 17
Suppose 2*x**2/7 + 18*x/7 - 44/7 = 0. Calculate x.
-11, 2
Factor -3*w**2 + 804*w - 5481.
-3*(w - 261)*(w - 7)
What is h in -2*h**3/9 + 4*h**2/9 - 2*h/9 = 0?
0, 1
Solve t**3/2 - 29*t**2 + 561*t/2 + 4356 = 0.
-8, 33
Let 2*t**2/9 + 8*t/3 - 192 = 0. What is t?
-36, 24
Solve -4*t**4/5 + 37*t**3/10 - 49*t**2/10 + 4*t/5 + 6/5 = 0 for t.
-3/8, 1, 2
Determine o so that 15*o**4 + 85*o**3/2 - 25*o**2 - 105*o/2 = 0.
-3, -1, 0, 7/6
Factor -g**2/7 + 241*g/7.
-g*(g - 241)/7
Determine o so that 5*o**2 + 210*o + 2205 = 0.
-21
Factor 5*q**3 + 2675*q**2 + 353735*q - 1085415.
5*(q - 3)*(q + 269)**2
Suppose 5*a**4/2 - 211*a**3/2 - 207*a**2 + 396*a = 0. Calculate a.
-3, 0, 6/5, 44
What is f in -3*f**4/5 - 11*f**3/5 + 13*f**2/5 + 51*f/5 - 18/5 = 0?
-3, 1/3, 2
Let -30*p**5 + 425*p**4 - 65*p**3 - 70*p**2 = 0. Calculate p.
-1/3, 0, 1/2, 14
Find g such that -2*g**4/19 + 28*g**3/19 - 1372*g/19 + 4802/19 = 0.
-7, 7
Factor -2*j**4 - 225*j**3/2 - 1596*j**2 - 392*j.
-j*(j + 28)**2*(4*j + 1)/2
Solve 3*u**3/7 + 18*u**2/7 - 27*u/7 - 6 = 0.
-7, -1, 2
What is p in -2*p**3 + 54*p**2 = 0?
0, 27
Find f such that -f**5/4 + 9*f**4/4 + 27*f**3/2 - 7*f**2/2 - 165*f/4 + 117/4 = 0.
-3, 1, 13
Factor p**2/2 + 4*p - 9/2.
(p - 1)*(p + 9)/2
Factor -4*b**4 - 120*b**3 - 336*b**2 - 328*b - 108.
-4*(b + 1)**3*(b + 27)
Factor -w**2/7 + 37*w/7.
-w*(w - 37)/7
Let -4*h**3 + 24*h**2 - 32*h = 0. Calculate h.
0, 2, 4
Suppose -954*h**4/13 - 210*h**3/13 + 566*h**2/13 - 166*h/13 + 12/13 = 0. What is h?
-1, 6/53, 1/3
Suppose c**2 + 38*c + 336 = 0. What is c?
-24, -14
Factor -s**2/2 - 323*s/2.
-s*(s + 323)/2
Find j such that -12*j**5 + 249*j**4 - 309*j**3 - 1641*j**2 - 1299*j - 228 = 0.
-1, -1/4, 4, 19
Let a**4/5 - 17*a**2/5 + 36*a/5 - 4 = 0. Calculate a.
-5, 1, 2
Factor -5*t**3 - 15*t**2 + 365*t - 825.
-5*(t - 5)*(t - 3)*(t + 11)
Factor -2*n**2/15 + 74*n/15.
-2*n*(n - 37)/15
Factor -72*x**3 - 5352*x**2 - 12194*x - 7056.
-2*(x + 72)*(6*x + 7)**2
Factor -q**3/8 - 57*q**2/2 - 2166*q - 54872.
-(q + 76)**3/8
Factor 4*j**2/9 + 4*j/9 - 8/3.
4*(j - 2)*(j + 3)/9
Factor u**4/3 - 595*u**3/9 - 398*u**2/9.
u**2*(u - 199)*(3*u + 2)/9
Factor -5*b**2 + 510*b - 1000.
-5*(b - 100)*(b - 2)
Determine a, given that -a**3/2 - 23*a**2/2 - 21*a = 0.
-21, -2, 0
Solve 84*k**4 + 34*k**3 - 88*k**2 - 34*k + 4 = 0 for k.
-1, -1/2, 2/21, 1
Find m such that 4*m**3/7 - 104*m**2 + 204*m + 2160/7 = 0.
-1, 3, 180
Determine o so that 3*o**4/2 + 18*o**3 + 54*o**2 = 0.
-6, 0
Find k such that -2*k**4/9 - 2*k**3/3 - 4*k**2/9 = 0.
-2, -1, 0
Factor 2*m**2 - 70*m.
2*m*(m - 35)
Suppose 3*t**2 + 702*t + 41067 = 0. Calculate t.
-117
Factor -35*n**4 - 15*n**3 + 230*n**2 - 120*n.
-5*n*(n - 2)*(n + 3)*(7*n - 4)
Solve -11*s**3/5 - 18*s**2/5 - 3*s/5 + 4/5 = 0 for s.
-1, 4/11
Determine t so that t**4/2 - 23*t**3/2 - 159*t**2 - 234*t + 1188 = 0.
-6, 2, 33
What is n in n**2/2 - 15*n/2 + 13 = 0?
2, 13
Factor k**3/6 + 11*k**2/6 + 5*k/3.
k*(k + 1)*(k + 10)/6
Solve 3*i**2 - 24*i - 627 = 0.
-11, 19
Solve -2*f**5/15 - 44*f**4/15 - 104*f**3/5 - 976*f**2/15 - 1408*f/15 - 256/5 = 0.
-12, -4, -2
Factor -3*q**3/2 - 320*q**2 - 33919*q/2 + 11449.
-(q + 107)**2*(3*q - 2)/2
Factor -2*p**3/19 - 70*p**2/19 - 196*p/19 - 128/19.
-2*(p + 1)*(p + 2)*(p + 32)/19
Determine f so that 2*f**3/3 - 148*f**2/3 + 960*f - 1728 = 0.
2, 36
Find n, given that -15*n**5 - 205*n**4 - 655*n**3 + 385*n**2 + 490*n = 0.
-7, -2/3, 0, 1
Determine j so that -2*j**5/7 - 4*j**4/7 + 30*j**3/7 - 8*j**2/7 - 40*j/7 = 0.
-5, -1, 0, 2
Find y, given that y**4/8 + 53*y**3/8 + 102*y**2 + 360*y = 0.
-24, -5, 0
Factor -2*k**3/3 + 12*k**2 + 602*k - 1840/3.
-2*(k - 40)*(k - 1)*(k + 23)/3
Determine a so that 3*a**5 - 5*a**4 - 10*a**3 + 20*a**2 - 8*a = 0.
-2, 0, 2/3, 1, 2
Factor -x**4 + 99*x**3 - 655*x**2 + 1017*x - 460.
-(x - 92)*(x - 5)*(x - 1)**2
Determine a, given that 2*a**4/15 - 128*a**3/15 - 2*a**2/