q**3 - 3000*q**2 + 800*q - 80.
-5*(5*q - 2)**4
Solve -3*g**2 + 1032*g - 1029 = 0.
1, 343
Factor 6*k**2 + 200*k + 256.
2*(k + 32)*(3*k + 4)
Factor -5*d**4 + 15*d**3 + 135*d**2 - 295*d + 150.
-5*(d - 6)*(d - 1)**2*(d + 5)
Factor 5*x**4 - 80*x**3 - 5*x**2 + 80*x.
5*x*(x - 16)*(x - 1)*(x + 1)
Solve 3*z**2/7 + 9*z/7 = 0 for z.
-3, 0
Factor r**4 + 4*r**3 + 4*r**2.
r**2*(r + 2)**2
Suppose -3*w**5 + 168*w**4 - 162*w**3 - 168*w**2 + 165*w = 0. What is w?
-1, 0, 1, 55
Suppose 2*b**4 + 1328*b**3 + 294372*b**2 + 21880768*b + 21587722 = 0. Calculate b.
-221, -1
Factor 2*x**4 - 198*x**3 - 204*x**2 + 400*x.
2*x*(x - 100)*(x - 1)*(x + 2)
Factor -3*h**2/2 + 119*h - 539/2.
-(h - 77)*(3*h - 7)/2
Factor -3*z**4 + 36*z**3 + 9*z**2 - 114*z + 72.
-3*(z - 12)*(z - 1)**2*(z + 2)
Determine x, given that x**5/3 + x**4 - 5*x**3/3 - x**2 + 4*x/3 = 0.
-4, -1, 0, 1
Let 12*r**4 + 39*r**3 - 387*r**2 - 519*r - 105 = 0. Calculate r.
-7, -1, -1/4, 5
Solve -4*m**4 + 352*m**3 + 360*m**2 - 352*m - 356 = 0.
-1, 1, 89
Solve 2*t**5 + 30*t**4 + 60*t**3 - 380*t**2 + 450*t - 162 = 0.
-9, 1
Factor 2*b**2/3 + 34*b/3 + 20.
2*(b + 2)*(b + 15)/3
Solve -5*c**3 + 35*c**2 - 30*c = 0 for c.
0, 1, 6
Suppose 4*i**4/5 + 4*i**3 - 3852*i**2/5 - 58292*i/5 - 20216 = 0. What is i?
-19, -2, 35
Factor o**3 - 152*o**2 - 316*o + 1232.
(o - 154)*(o - 2)*(o + 4)
Factor -61009*j**4/3 + 245518*j**3/3 - 249973*j**2/3 + 1988*j - 12.
-(j - 2)**2*(247*j - 3)**2/3
Factor -r**2/6 + 89*r/6 - 44/3.
-(r - 88)*(r - 1)/6
Factor z**4/4 + 471*z**3/2 + 221841*z**2/4.
z**2*(z + 471)**2/4
Factor -c**3/4 - 5*c**2/4 + c/4 + 5/4.
-(c - 1)*(c + 1)*(c + 5)/4
Factor -4*x**3 - 136*x**2 - 1200*x - 3168.
-4*(x + 6)**2*(x + 22)
Find o, given that -2*o**2 - 20088*o - 50440968 = 0.
-5022
Suppose 5*p**2 - 30*p + 25 = 0. What is p?
1, 5
Find f such that 4*f**5 - 4*f**4 - 36*f**3 - 44*f**2 - 16*f = 0.
-1, 0, 4
Let 4*g**3/5 + 1156*g**2 - 11572*g/5 + 5788/5 = 0. Calculate g.
-1447, 1
Factor 2*a**3 + 24*a**2 + 88*a + 96.
2*(a + 2)*(a + 4)*(a + 6)
Let 3*n**4 - 72*n**3 + 450*n**2 - 600*n - 1125 = 0. Calculate n.
-1, 5, 15
Factor -g**3/10 - 19*g**2/5 - 159*g/10 + 99/5.
-(g - 1)*(g + 6)*(g + 33)/10
What is u in -5*u**5/2 + 115*u**4/2 + 145*u**3 - 500*u**2 = 0?
-4, 0, 2, 25
Factor -2*q**2/13 + 6124*q/13 - 4687922/13.
-2*(q - 1531)**2/13
Factor n**4 - 87*n**3 + 252*n**2 + 4*n - 336.
(n - 84)*(n - 2)**2*(n + 1)
What is g in 2*g**3 - 10*g**2 - 28*g = 0?
-2, 0, 7
Factor 9*v**5 - 6*v**4 - 3*v**3.
3*v**3*(v - 1)*(3*v + 1)
What is k in -21*k**3 + 1476*k**2 - 26145*k + 7350 = 0?
2/7, 35
Factor m**3 - 57*m**2 + 1080*m - 6804.
(m - 21)*(m - 18)**2
Find k such that k**3/2 - 5*k**2 - 23*k/2 - 6 = 0.
-1, 12
Find a, given that a**5/11 - 93*a**4/11 + 270*a**3/11 + 4*a**2/11 - 360*a/11 = 0.
-1, 0, 2, 90
Determine x so that -3*x**5/4 + 27*x**4/2 + 3*x**3/2 - 27*x**2 - 3*x/4 + 27/2 = 0.
-1, 1, 18
Factor 49*n**4/3 - 6440*n**3/3 + 209752*n**2/3 + 40480*n + 5808.
(n - 66)**2*(7*n + 2)**2/3
Solve t**5 + t**4 - 68*t**3 + 220*t**2 - 32*t - 320 = 0.
-10, -1, 2, 4
Factor 2*o**2/7 + 36*o/7 + 64/7.
2*(o + 2)*(o + 16)/7
Factor -n**2/9 + 38*n/9 + 728/9.
-(n - 52)*(n + 14)/9
Solve m**2/9 + 1307*m/9 + 1306/9 = 0.
-1306, -1
Let -5*j**4 - 85*j**3 - 295*j**2 + 85*j + 300 = 0. Calculate j.
-12, -5, -1, 1
Factor -g**5/2 - 23*g**4/2 - 88*g**3 - 224*g**2.
-g**2*(g + 7)*(g + 8)**2/2
Determine r, given that -2*r**5 - 30*r**4 - 130*r**3 - 130*r**2 + 132*r + 160 = 0.
-8, -5, -2, -1, 1
Factor o**2/5 + 8*o/5 - 9/5.
(o - 1)*(o + 9)/5
Factor -10*f**3 + 72*f**2 + 22*f - 252.
-2*(f - 7)*(f - 2)*(5*f + 9)
Solve -2*q**2/11 - 38*q = 0.
-209, 0
Solve -6*k**3 + 196*k**2 + 270*k + 68 = 0 for k.
-1, -1/3, 34
What is q in -12*q**3 - 18177*q**2 + 40953*q - 9102 = 0?
-1517, 1/4, 2
Suppose 8*g**5 + 476*g**4 - 2248*g**3 + 3548*g**2 - 2296*g + 512 = 0. Calculate g.
-64, 1/2, 1, 2
Suppose -t**2/9 + 412*t/9 + 413/9 = 0. Calculate t.
-1, 413
What is h in 3*h**3/5 - 42*h**2/5 + 27*h/5 + 972/5 = 0?
-4, 9
Solve -3*i**5/5 + 2583*i**4/5 - 111969*i**3 + 1656357*i**2/5 + 10296*i/5 - 2208492/5 = 0.
-1, 2, 429
Suppose 2*f**3 + 6*f**2 - 26*f - 30 = 0. What is f?
-5, -1, 3
Factor p**5/2 + p**4/2 - 3*p**3/2 - 5*p**2/2 - p.
p*(p - 2)*(p + 1)**3/2
Solve 2*p**5/7 - 2358*p**4/7 + 926692*p**3/7 - 121394556*p**2/7 - 926694*p/7 + 121396914/7 = 0 for p.
-1, 1, 393
Suppose -3*m**2/5 + 504*m/5 - 21168/5 = 0. Calculate m.
84
Factor 53*o**3 + 194*o**2/3 + 29*o/3 - 2.
(o + 1)*(3*o + 1)*(53*o - 6)/3
Factor -2*y**3/7 - 110*y**2/7 + 464*y/7 - 472/7.
-2*(y - 2)**2*(y + 59)/7
Factor -2*j**2/3 - 76*j/3 - 272/3.
-2*(j + 4)*(j + 34)/3
Suppose -160*r**2 + 812*r - 60 = 0. What is r?
3/40, 5
Factor 2*w**3/15 + 58*w**2/15 + 22*w/3 + 18/5.
2*(w + 1)**2*(w + 27)/15
Factor 2*i**3 - 66*i**2 + 448*i - 384.
2*(i - 24)*(i - 8)*(i - 1)
Determine a so that -269*a**2 + 536*a + 4 = 0.
-2/269, 2
What is p in p**2 + 19*p + 34 = 0?
-17, -2
Suppose 2*j**4 - 17*j**3 + 29*j**2 + 12*j - 36 = 0. What is j?
-1, 3/2, 2, 6
Let -2*h**4/9 + 4*h**3 - 118*h**2/9 + 28*h/3 = 0. Calculate h.
0, 1, 3, 14
Factor -27*d**3 - 4947*d**2 - 1098*d.
-3*d*(d + 183)*(9*d + 2)
Solve 2*k**3/7 - 34*k**2/7 - 368*k/7 - 800/7 = 0.
-4, 25
Find f, given that -3*f**2 - 132*f - 480 = 0.
-40, -4
Factor 3*j**4 - 132*j**3 + 2178*j**2 - 15972*j + 43923.
3*(j - 11)**4
Let 3*z**5/8 - 9*z**4/4 + 81*z**2/4 - 243*z/8 = 0. What is z?
-3, 0, 3
Find n, given that -5*n**4 - 95*n**3 - 415*n**2 + 95*n + 420 = 0.
-12, -7, -1, 1
Factor 2*u**3 - 222*u**2 - 450*u - 226.
2*(u - 113)*(u + 1)**2
Solve 4*h**3/9 - 16*h**2/9 - 44*h/9 - 8/3 = 0.
-1, 6
Suppose -x**2/4 + 9*x/4 + 11/2 = 0. What is x?
-2, 11
Factor d**3 + 2*d**2 - 39*d + 72.
(d - 3)**2*(d + 8)
Determine g, given that -g**4/4 - 99*g**3/2 - 9601*g**2/4 + 4950*g - 2500 = 0.
-100, 1
Factor -l**2 + 31*l - 30.
-(l - 30)*(l - 1)
Determine k, given that 5*k**5 - 60*k**4 + 260*k**3 - 480*k**2 + 320*k = 0.
0, 2, 4
Solve -2*y**5/3 + 46*y**4/3 + 2*y**3 - 142*y**2/3 + 92*y/3 = 0 for y.
-2, 0, 1, 23
Find c such that -10*c**2 + 6*c + 4 = 0.
-2/5, 1
Factor -3*a**4 + 169*a**3 - 1296*a**2 - 940*a.
-a*(a - 47)*(a - 10)*(3*a + 2)
Determine o, given that -5*o**4 - 95*o**3 - 570*o**2 - 1120*o - 640 = 0.
-8, -2, -1
Factor -2*z**3/3 - 2*z**2/3 + 10*z/3 - 2.
-2*(z - 1)**2*(z + 3)/3
Factor -3*c**2 + 81*c - 330.
-3*(c - 22)*(c - 5)
Factor k**4 - 113*k**3 + 3133*k**2 + 3477*k - 6498.
(k - 57)**2*(k - 1)*(k + 2)
Solve -27*c**4/2 - 8559*c**3 + 17154*c**2 - 11444*c + 2544 = 0.
-636, 2/3
Suppose -405*q**4 + 7920*q**3 - 4115*q**2 - 3020*q - 380 = 0. What is q?
-2/9, 1, 19
Factor -g**3/4 + 150*g**2 - 1197*g/4 + 299/2.
-(g - 598)*(g - 1)**2/4
Factor -a**2 - 8*a - 7.
-(a + 1)*(a + 7)
Solve 5*u**4 - 40*u**3 + 65*u**2 - 30*u = 0.
0, 1, 6
Factor 9*u**4 - 159*u**3 + 642*u**2 - 360*u.
3*u*(u - 12)*(u - 5)*(3*u - 2)
Solve 2*g**5/3 + 2*g**4/3 - 2*g**3 - 10*g**2/3 - 4*g/3 = 0.
-1, 0, 2
Let 196*u**3 - 4368*u**2 + 1236*u - 88 = 0. What is u?
1/7, 22
Suppose 5*t**5 + 410*t**4 + 805*t**3 + 400*t**2 = 0. Calculate t.
-80, -1, 0
Let 4*h**3/9 + 58*h**2/9 + 28*h/9 = 0. Calculate h.
-14, -1/2, 0
Suppose -27*n**4/4 + 7680*n**3 - 54543*n**2/4 + 8517*n/2 + 1704 = 0. Calculate n.
-2/9, 1, 1136
Factor -3*g**3 + 126*g**2 + 1983*g - 2106.
-3*(g - 54)*(g - 1)*(g + 13)
Factor -4*s**4 + 8*s**3 + 16*s**2 - 32*s.
-4*s*(s - 2)**2*(s + 2)
Find t, given that 3*t**5 + 198*t**4 + 711*t**3 - 2028*t**2 + 1116*t = 0.
-62, -6, 0, 1
Factor 3*p**4/7 + 180*p**3/7 + 2316*p**2/7 - 11520*p/7 + 12288/7.
3*(p - 2)**2*(p + 32)**2/7
Factor -5*q**2 + 4390*q - 963605.
-5*(q - 439)**2
Factor -v**2 + 13*v + 264.
-(v - 24)*(v + 11)
Determine p, given that p**4/7 + 20*p**3/7 - 43*p**2/7 + 22*p/7 = 0.
-22, 0, 1
Find g, given that -27*g**4/4 + 768*g**3 - 87039*g**2/4 - 9747*g/2 = 0.
-2/9, 0, 57
Factor 3*k**2 + 330*k - 333.
3*(k - 1)*(k + 111)
Factor 4*a**4 - 4*a**3 - 16*a**2 + 16*a.
4*a*(a - 2)*(a - 1)*(a + 2)
Find b, given that b**2 + 26*b + 69 = 0.
-23, -3
Factor n**3 - 4*n**2.
n**2*(n - 4)
Factor 2*w**4 - 164*w**3 + 3192*w**2 + 7056*w.
2*w*(w - 42)**2*(w + 2)
Factor -t**5/4 + t**3/4.
-t**3*(t - 1)*(t + 1)/4
Suppose -h**3/2 - 4*h**2 + 9*h/2 = 0. Calculate h.
-9, 0, 1
What is r in -3*r**3 - 21*r**2 + 255*r + 273 = 0?
-13, -1, 7
Factor j**2/3 - 1408*j + 1486848.
(j - 2112)**2/3
Determine w, given that 5*w**3 + 45*w**2 + 30*w - 80 = 0.
-8, -2, 1
So