- 40*u.
-u*(u - 5)*(u - 4)*(u + 2)
Factor w**4/3 + 13*w**3/3 - w**2 - 99*w + 162.
(w - 3)*(w - 2)*(w + 9)**2/3
Factor -4*a**2 - 108*a - 104.
-4*(a + 1)*(a + 26)
Factor -4*x**2/7 - 1488*x/7 - 138384/7.
-4*(x + 186)**2/7
Let 5*j**3 - 365*j**2 + 6475*j + 6845 = 0. Calculate j.
-1, 37
Factor -3645*z**5 - 7830*z**4 - 4745*z**3 - 580*z**2 - 20*z.
-5*z*(z + 1)**2*(27*z + 2)**2
Factor -m**3 - 44*m**2 + 45*m.
-m*(m - 1)*(m + 45)
Factor -y**3 + 96*y**2 - 2304*y.
-y*(y - 48)**2
Factor -z**3/3 + z**2/3 + 32*z/3 - 20.
-(z - 5)*(z - 2)*(z + 6)/3
Suppose -f**4 + 26*f**3 - 148*f**2 + 294*f - 171 = 0. Calculate f.
1, 3, 19
Factor -4*y**4 - 44*y**3 - 132*y**2 - 20*y + 200.
-4*(y - 1)*(y + 2)*(y + 5)**2
Factor -25*i**5 - 190*i**4 - 420*i**3 - 370*i**2 - 115*i.
-5*i*(i + 1)**3*(5*i + 23)
Determine h so that 3*h**2/2 - 2178*h + 790614 = 0.
726
What is y in -3*y**3 - 429*y**2 - 14673*y + 47961 = 0?
-73, 3
Factor 4*j**3/5 + 48*j**2/5 + 108*j/5.
4*j*(j + 3)*(j + 9)/5
Let -4*d**4 + 40*d**3 + 224*d**2 = 0. Calculate d.
-4, 0, 14
Factor -12*u**4 - 603*u**3 - 7650*u**2 - 1875*u.
-3*u*(u + 25)**2*(4*u + 1)
Factor 2*o**3/11 + 16*o**2/11 + 32*o/11.
2*o*(o + 4)**2/11
Factor 2*q**3/13 - 68*q**2/13 - 462*q/13 - 720/13.
2*(q - 40)*(q + 3)**2/13
Solve -45*p**4 + 14235*p**3 - 4700*p**2 - 12660*p + 6320 = 0 for p.
-1, 2/3, 316
Factor -i**3 + 33*i**2.
-i**2*(i - 33)
Solve 4*v**2 - 36*v = 0.
0, 9
What is s in 4*s**5 - 32*s**4 + 84*s**3 - 56*s**2 - 80*s + 96 = 0?
-1, 2, 3
Factor 147*q**4/5 + 336*q**3 + 4296*q**2/5 - 576*q + 432/5.
3*(q + 6)**2*(7*q - 2)**2/5
Solve f**3 + 6*f**2 - 15*f + 8 = 0.
-8, 1
Find w such that -2*w**4/3 + 28*w**3/3 + 120*w**2 + 396*w + 414 = 0.
-3, 23
Factor 15*w**4/2 + 69*w**3/2 + 117*w**2/2 + 87*w/2 + 12.
3*(w + 1)**3*(5*w + 8)/2
Suppose -25*s**3/2 + 115*s**2/2 + 209*s/2 - 1083/2 = 0. What is s?
-3, 19/5
Let 2*a**2 - 100*a + 98 = 0. What is a?
1, 49
Factor x**2 + 82*x - 168.
(x - 2)*(x + 84)
Factor -l**4 + 2*l**3 + l**2 - 2*l.
-l*(l - 2)*(l - 1)*(l + 1)
Determine p, given that -4*p**3 - 2256*p**2 - 311220*p + 1949400 = 0.
-285, 6
Let 2*r**2 - 154*r/3 - 52/3 = 0. What is r?
-1/3, 26
Factor -k**5/9 + 4*k**4/9 + 16*k**3 + 704*k**2/9 + 1024*k/9.
-k*(k - 16)*(k + 4)**3/9
Determine p, given that -2*p**5 - 104*p**4/5 + 126*p**3 - 892*p**2/5 + 136*p/5 + 48 = 0.
-15, -2/5, 1, 2
Factor 2*p**3 + 2*p**2.
2*p**2*(p + 1)
Determine j, given that -2*j**4 - 106*j**3 + 108*j**2 = 0.
-54, 0, 1
Solve 3*a**2 + 379*a - 254 = 0.
-127, 2/3
Factor h**4/9 + 4*h**3/9 + h**2/3 - 4*h/9 - 4/9.
(h - 1)*(h + 1)*(h + 2)**2/9
Factor -3*n**4 - 24*n**3 - 21*n**2.
-3*n**2*(n + 1)*(n + 7)
Let -3*m**2 + 1500*m - 187500 = 0. What is m?
250
Let 2*n**3/7 - 10*n**2/7 - 2*n/7 + 10/7 = 0. Calculate n.
-1, 1, 5
Suppose -49152*j**4 - 61440*j**3 - 28800*j**2 - 6000*j - 1875/4 = 0. What is j?
-5/16
Factor -w**4/4 + 11*w**3/2 - 5*w**2 - 11*w/2 + 21/4.
-(w - 21)*(w - 1)**2*(w + 1)/4
Factor 3*c**5 - 39*c**4 + 75*c**3 + 279*c**2 + 162*c.
3*c*(c - 9)*(c - 6)*(c + 1)**2
Solve 4*k**5 + 24*k**4 - 36*k**3 - 56*k**2 = 0 for k.
-7, -1, 0, 2
Factor -5*b**2/8 + 221*b/4 - 22.
-(b - 88)*(5*b - 2)/8
Factor -4*l**2 + 6548*l.
-4*l*(l - 1637)
What is i in -4*i**3/7 + 684*i**2/7 - 4128*i - 29584/7 = 0?
-1, 86
Suppose -3*g**5 - 30*g**4 - 60*g**3 + 30*g**2 + 63*g = 0. Calculate g.
-7, -3, -1, 0, 1
Let -75*y**2 + 30*y - 3 = 0. What is y?
1/5
Factor -4*u**3 + 40*u**2 - 100*u.
-4*u*(u - 5)**2
Factor -x**2/7 - 22*x/7 + 75/7.
-(x - 3)*(x + 25)/7
Solve -4*v**5 + 28*v**4 - 28*v**3 - 204*v**2 + 576*v - 432 = 0 for v.
-3, 2, 3
Factor -s**2/2 - 437*s/2 - 218.
-(s + 1)*(s + 436)/2
Solve 2*n**2/13 + 3932*n/13 + 1932578/13 = 0 for n.
-983
Factor -h**2/2 - 77*h/2 + 120.
-(h - 3)*(h + 80)/2
Solve -68*a**4 + 456*a**3 - 220*a**2 - 456*a + 288 = 0 for a.
-1, 12/17, 1, 6
Factor -r**2 - 43*r + 188.
-(r - 4)*(r + 47)
Factor 2*n**4/5 + 1696*n**3/5 + 480528*n**2/5 + 45805824*n/5 + 89703072/5.
2*(n + 2)*(n + 282)**3/5
Let 14*w**3/15 + 472*w**2/15 - 136*w/15 = 0. What is w?
-34, 0, 2/7
Determine a so that 48*a**5 - 429*a**4 + 1269*a**3 - 1215*a**2 - 81*a = 0.
-1/16, 0, 3
Let -2*y**4/5 - 398*y**3/5 + 2026*y**2/5 - 570*y + 1224/5 = 0. What is y?
-204, 1, 3
Determine r so that r**5/3 + 13*r**4/3 - 16*r**3/3 - 28*r**2/3 = 0.
-14, -1, 0, 2
Factor -3*v**3 + 185*v**2 - 793*v - 285.
-(v - 57)*(v - 5)*(3*v + 1)
Factor -4*m**3 + 26196*m**2 - 57185868*m + 41612249948.
-4*(m - 2183)**3
Suppose -6*d**4 - 447*d**3/5 + 531*d**2/5 + 42*d/5 - 96/5 = 0. What is d?
-16, -2/5, 1/2, 1
Solve f**3 - 11*f**2 + 8*f + 20 = 0 for f.
-1, 2, 10
Factor -z**2 + 53*z/3 - 34/3.
-(z - 17)*(3*z - 2)/3
Determine d so that 7*d**3/2 + 33*d**2/2 - 131*d + 36 = 0.
-9, 2/7, 4
Find f, given that -f**4/9 + 2*f**3/9 + 5*f**2/3 + 4*f/9 - 20/9 = 0.
-2, 1, 5
Determine b, given that 3*b**5 + 81*b**4 + 72*b**3 - 6204*b**2 + 21600*b - 15552 = 0.
-18, 1, 4
Determine h so that 2*h**2 + 734*h + 732 = 0.
-366, -1
Factor -z**3 - 14*z**2 - 24*z.
-z*(z + 2)*(z + 12)
What is k in 5*k**3 + 225*k**2 - 230*k = 0?
-46, 0, 1
Factor 4*y**4/5 - 76*y**3/5 + 332*y**2/5 - 52*y.
4*y*(y - 13)*(y - 5)*(y - 1)/5
Let 2*l**2 + 228*l - 230 = 0. What is l?
-115, 1
What is l in -19*l**4/5 - 5*l**3 + 146*l**2/5 + 276*l/5 + 72/5 = 0?
-2, -6/19, 3
Solve 15*b**4 + 55*b**3 - 165*b**2 - 355*b - 150 = 0.
-5, -1, -2/3, 3
Let -25*o**5 - 430*o**4 + 990*o**3 + 2440*o**2 - 2405*o - 570 = 0. Calculate o.
-19, -2, -1/5, 1, 3
Solve w**4/5 + 59*w**3/5 + 57*w**2/5 - 59*w/5 - 58/5 = 0.
-58, -1, 1
Suppose 10*i**4/11 - 226*i**3/11 - 12*i**2 + 904*i/11 + 368/11 = 0. Calculate i.
-2, -2/5, 2, 23
Solve 2*z**5/13 - 126*z**4/13 - 30*z**3 - 394*z**2/13 - 132*z/13 = 0.
-1, 0, 66
Find r such that 2*r**4/3 + 46*r**3/3 + 292*r**2/3 + 416*r/3 = 0.
-13, -8, -2, 0
Factor -144*d**3 + 768*d**2 - 1300*d + 676.
-4*(d - 1)*(6*d - 13)**2
Factor -j**3/4 + 967*j**2/4 + 5829*j/4 + 8757/4.
-(j - 973)*(j + 3)**2/4
Suppose -3*j**5/5 + 216*j**4/5 + 1128*j**3/5 + 2058*j**2/5 + 1611*j/5 + 462/5 = 0. Calculate j.
-2, -1, 77
Factor -5*h**5 - 410*h**4 + 3025*h**3 - 7910*h**2 + 8860*h - 3560.
-5*(h - 2)**3*(h - 1)*(h + 89)
Find t, given that 2*t**3/17 - 10*t**2/17 - 632*t/17 + 640/17 = 0.
-16, 1, 20
Solve -2*u**4/9 + 32*u**3/9 - 52*u**2/3 + 224*u/9 - 98/9 = 0 for u.
1, 7
Find b such that -3*b**3/2 + 2661*b**2/2 - 294372*b - 295704 = 0.
-1, 444
Determine i so that -i**2 - 554*i - 76729 = 0.
-277
Suppose 5*h**2 + 70*h - 360 = 0. What is h?
-18, 4
Let -3*j**4/7 + 33*j**3/7 - 93*j**2/7 + 9*j = 0. What is j?
0, 1, 3, 7
Suppose -4*b**4 - 13*b**3 - 3*b**2 = 0. Calculate b.
-3, -1/4, 0
Factor -b**2 - 358*b - 32041.
-(b + 179)**2
What is t in -4*t**2/3 + 640*t/3 - 25600/3 = 0?
80
Solve z**5 + 44*z**4 - 307*z**3 - 350*z**2 = 0.
-50, -1, 0, 7
Suppose 50*i**5 + 190*i**4 - 2*i**3 - 358*i**2 + 48*i + 72 = 0. Calculate i.
-3, -2, -2/5, 3/5, 1
Factor 27*g**3 + 35631*g**2 + 11773056*g + 11737452.
3*(g + 1)*(3*g + 1978)**2
Factor 8*c**3/5 + 492*c**2/5 - 248*c/5.
4*c*(c + 62)*(2*c - 1)/5
Solve -2*a**5 - 78*a**4 - 924*a**3 - 3076*a**2 - 1122*a + 5202 = 0 for a.
-17, -3, 1
Let 3*r**4/2 - 36*r**3 + 423*r**2/2 - 321*r + 144 = 0. What is r?
1, 6, 16
Suppose -y**4/4 + 93*y**3/4 - 183*y**2/4 + 91*y/4 = 0. What is y?
0, 1, 91
Factor -2*t**3/19 + 26*t**2/19 - 80*t/19 + 72/19.
-2*(t - 9)*(t - 2)**2/19
Determine b, given that 4*b**3 + 40*b**2 - 224*b = 0.
-14, 0, 4
Factor u**2/2 - 112*u + 222.
(u - 222)*(u - 2)/2
Find q, given that -4*q**5/7 - 16*q**4 - 1080*q**3/7 - 3888*q**2/7 - 2916*q/7 = 0.
-9, -1, 0
Factor -i**2 - 16864*i - 71098624.
-(i + 8432)**2
Solve 3*x**3/5 - 39*x**2/5 - 87*x/5 - 9 = 0.
-1, 15
Solve w**3 - 14*w**2 = 0.
0, 14
Factor -v**3/12 + 67*v**2/6 - 440*v + 4200.
-(v - 60)**2*(v - 14)/12
Factor -a**3/2 + 19*a**2/2 - 60*a + 126.
-(a - 7)*(a - 6)**2/2
Factor m**2/2 + 41*m + 800.
(m + 32)*(m + 50)/2
Suppose -2*f**3/3 - 220*f**2 - 1966*f/3 - 436 = 0. Calculate f.
-327, -2, -1
Factor 35*t**3/2 - 235*t**2/2 + 140*t + 50.
5*(t - 5)*(t - 2)*(7*t + 2)/2
Factor l**2 - 38*l + 361.
(l - 19)**2
Suppose 15*p**4 - 249*p**3 + 363*p**2 - 39*p - 90 = 0. What is p?
-2/5, 1, 15
Factor 4*j**2/3 - 80*j/3 + 128.
4*(j - 12)*(j - 8)/3
Solve -3*c**3/4 - 387*c**2/4 - 765*c/4 - 381/4 = 0 for c.
-127, -1
Factor 2*f**3 - 2*f**2.
2*f**2*(f - 1)
Determine i so that -2*i**3/17 - 4090*i**2/17 - 2088966*i/17 + 2093058/17 =