*y**2 + 35*y - 20.
5*(y + 1)*(11*y - 4)
Solve 2*f**2 + 144*f + 2592 = 0.
-36
Factor g**3 + 47*g**2 + 46*g.
g*(g + 1)*(g + 46)
What is x in -2*x**5/15 + 2*x**4/15 + 26*x**3/15 - 2*x**2/15 - 8*x/5 = 0?
-3, -1, 0, 1, 4
Determine t so that 4*t**3 + 868*t**2 = 0.
-217, 0
Factor 5*a**3/2 - 5*a**2 + 5*a/2.
5*a*(a - 1)**2/2
Factor r**2 + 170*r.
r*(r + 170)
Factor 300*c**2 + 45*c - 3.
3*(5*c + 1)*(20*c - 1)
Determine h so that -3*h**2/5 - 387*h/5 - 1782 = 0.
-99, -30
Factor 5*n**2/4 + 10*n.
5*n*(n + 8)/4
Factor -5*r**2 - 10*r - 5.
-5*(r + 1)**2
Let -51*v**4/7 + 2154*v**3/7 - 4356*v**2 + 21000*v - 4704 = 0. Calculate v.
4/17, 14
Factor -4*v**3 - 1548*v**2 + 12576*v - 25280.
-4*(v - 4)**2*(v + 395)
Factor 2*v**2 - 33*v + 70.
(v - 14)*(2*v - 5)
Suppose -5*s**5 + 10*s**4 + 35*s**3 + 20*s**2 = 0. What is s?
-1, 0, 4
Factor 2*d**2/5 - 3552*d/5 + 1577088/5.
2*(d - 888)**2/5
What is z in -8*z**4 + 622*z**3 - 460*z**2 - 154*z = 0?
-1/4, 0, 1, 77
Factor 2*q**2/5 - 268*q/5 + 528/5.
2*(q - 132)*(q - 2)/5
Factor 2*g**2 + 149*g + 1785.
(g + 15)*(2*g + 119)
Solve 5*l**5/6 + 35*l**4/2 - 115*l**3/6 - 35*l**2/2 + 55*l/3 = 0.
-22, -1, 0, 1
Suppose -6*m**5/7 + 96*m**4/7 - 72*m**3/7 - 300*m**2/7 + 66*m - 180/7 = 0. Calculate m.
-2, 1, 15
Factor -4*t**5 + 52*t**4 + 256*t**3 + 272*t**2.
-4*t**2*(t - 17)*(t + 2)**2
Factor 64*b**5 - 1952*b**4 + 15364*b**3 - 7320*b**2 + 900*b.
4*b*(b - 15)**2*(4*b - 1)**2
Factor 2*m**4/5 + 18*m**3/5 + 42*m**2/5 + 38*m/5 + 12/5.
2*(m + 1)**3*(m + 6)/5
Let -2*l**2 - 36*l + 80 = 0. What is l?
-20, 2
Factor 5*p**2 - 175*p - 370.
5*(p - 37)*(p + 2)
Factor y**4 + 122*y**3 + 3841*y**2 + 7320*y + 3600.
(y + 1)**2*(y + 60)**2
Determine p, given that -5*p**2 - 135*p + 140 = 0.
-28, 1
Factor 4*q**2/3 + 4*q.
4*q*(q + 3)/3
Solve 4*b**5 - 152*b**4 + 1476*b**3 - 3152*b**2 - 560*b + 4224 = 0 for b.
-1, 2, 11, 24
Factor k**2/8 - 95*k/8 + 47/4.
(k - 94)*(k - 1)/8
Solve 5*j**4 - 40*j**3 + 75*j**2 + 40*j - 80 = 0.
-1, 1, 4
Find d such that -2*d**5 - 4*d**4 + 14*d**3 + 16*d**2 - 24*d = 0.
-3, -2, 0, 1, 2
What is o in 35*o**3 - 120*o**2 + 60*o + 80 = 0?
-4/7, 2
What is i in 3*i**5/5 - 36*i**4/5 + 111*i**3/5 + 54*i**2/5 - 492*i/5 + 72 = 0?
-2, 1, 2, 5, 6
Suppose -15*k**5 - 84*k**4 - 99*k**3 + 114*k**2 + 156*k - 72 = 0. What is k?
-3, -2, 2/5, 1
What is n in -4*n**4 + 20*n**3 - 8*n**2 - 32*n = 0?
-1, 0, 2, 4
Find l, given that l**2/3 - 110*l/3 - 37 = 0.
-1, 111
Determine c so that -60*c**5 - 112*c**4 + 436*c**3 - 296*c**2 + 32*c = 0.
-4, 0, 2/15, 1
Find k, given that 5*k**2 - 40*k + 80 = 0.
4
Determine d, given that -5*d**3 - 3480*d**2 - 807360*d - 62435840 = 0.
-232
Suppose -z**3/12 + 131*z**2/6 - 87*z/4 = 0. What is z?
0, 1, 261
Solve j**3/3 - 62*j**2/3 + 61*j/3 = 0.
0, 1, 61
Let -f**3 + 61*f**2 - 119*f + 59 = 0. What is f?
1, 59
Factor -2*y**2 + 14548*y - 26455538.
-2*(y - 3637)**2
Factor 3*w**2/5 - 36*w/5 - 1479/5.
3*(w - 29)*(w + 17)/5
Factor 2*x**2/5 + 14*x/5.
2*x*(x + 7)/5
Factor 3*u**4 - 255*u**3 + 1686*u**2 - 3780*u + 2808.
3*(u - 78)*(u - 3)*(u - 2)**2
Factor 5*c**4 + 395*c**3 - 5*c**2 - 395*c.
5*c*(c - 1)*(c + 1)*(c + 79)
Determine t so that 2*t**4/11 - 10*t**2/11 + 8/11 = 0.
-2, -1, 1, 2
Find v, given that -v**2/2 - 23*v + 48 = 0.
-48, 2
Factor -l**3 + 48*l**2 - 509*l + 462.
-(l - 33)*(l - 14)*(l - 1)
Let -486*t**3 + 2592*t**2 - 4608*t + 8192/3 = 0. What is t?
16/9
Factor -u**2/5 + 58*u/5 - 672/5.
-(u - 42)*(u - 16)/5
Determine v, given that -196*v**3 + 37128*v**2 + 21264*v + 3040 = 0.
-2/7, 190
Let -3*k**5 + 1062*k**4 - 95043*k**3 + 186912*k**2 - 92928*k = 0. What is k?
0, 1, 176
Determine k, given that 2*k**3 + 30*k**2 - 234*k - 3718 = 0.
-13, 11
What is s in 35*s**3 + 65*s**2 - 40*s - 60 = 0?
-2, -6/7, 1
Factor b**4 - 45*b**3 - 93*b**2 - 47*b.
b*(b - 47)*(b + 1)**2
Determine x, given that -5*x**2 + 355*x - 690 = 0.
2, 69
Factor p**5 - 21*p**4 + 89*p**3 - 151*p**2 + 114*p - 32.
(p - 16)*(p - 2)*(p - 1)**3
Find n, given that 14*n**3/5 + 1382*n**2/5 + 28584*n/5 - 1656 = 0.
-69, -30, 2/7
Factor 3*i**2/2 - 393*i + 51483/2.
3*(i - 131)**2/2
Solve 3*a**4/5 - 54*a**3/5 + 201*a**2/5 + 378*a/5 - 528/5 = 0 for a.
-2, 1, 8, 11
Determine c, given that 2*c**5 + 184*c**4 + 3644*c**3 - 27056*c**2 + 42434*c - 19208 = 0.
-49, 1, 4
Let 3*r**2/4 - 21*r/4 + 15/2 = 0. Calculate r.
2, 5
Solve -d**4/4 - 31*d**3/4 - 29*d**2/4 + 31*d/4 + 15/2 = 0 for d.
-30, -1, 1
Suppose -3*d**4/4 + 21*d**3/4 - 39*d**2/4 - 9*d/4 + 27/2 = 0. Calculate d.
-1, 2, 3
Factor 3*q**4 + 66*q**3 + 60*q**2 - 66*q - 63.
3*(q - 1)*(q + 1)**2*(q + 21)
Determine d, given that 4*d**4 + 76*d**3 + 452*d**2 + 884*d + 504 = 0.
-9, -7, -2, -1
Factor -2*n**5/3 + 160*n**4 + 322*n**3 + 484*n**2/3.
-2*n**2*(n - 242)*(n + 1)**2/3
What is x in -x**4/4 + 23*x**3/4 - 99*x**2/2 + 189*x - 270 = 0?
5, 6
Suppose 2*a**4 - 6*a**3 - 20*a**2 = 0. Calculate a.
-2, 0, 5
Determine s, given that 2*s**3/11 - 14*s**2/11 + 72/11 = 0.
-2, 3, 6
Determine h, given that h**3/2 - 46*h**2 - 187*h/2 - 47 = 0.
-1, 94
Factor -4*f**2 + 72*f + 160.
-4*(f - 20)*(f + 2)
Solve -2*m**4 + 8*m**3 - 6*m**2 - 8*m + 8 = 0.
-1, 1, 2
Find o, given that 2*o**5 - 230*o**4 + 8660*o**3 - 100620*o**2 - 228150*o - 118638 = 0.
-1, 39
Factor -2*u**2 - 50*u - 312.
-2*(u + 12)*(u + 13)
What is g in -3*g**4 + 108*g**3 + 3*g**2 - 108*g = 0?
-1, 0, 1, 36
Solve -2*k**3/21 - 2816*k**2/21 + 2818*k/21 = 0 for k.
-1409, 0, 1
Find f, given that -5*f**4/4 + 30*f**3 - 705*f**2/4 + 535*f/2 - 120 = 0.
1, 6, 16
Factor 3*x**2 - 666*x - 3405.
3*(x - 227)*(x + 5)
Factor -f**4 + 265*f**3 - 526*f**2.
-f**2*(f - 263)*(f - 2)
Suppose s**3/5 + 57*s**2/5 + 111*s/5 + 11 = 0. What is s?
-55, -1
Determine v, given that 2*v**3 - 30*v**2 - 104*v - 72 = 0.
-2, -1, 18
Let j**5/7 - 29*j**4/7 + 250*j**3/7 - 586*j**2/7 + 533*j/7 - 169/7 = 0. Calculate j.
1, 13
Factor 4*f**5 + 144*f**4 - 148*f**3.
4*f**3*(f - 1)*(f + 37)
Find a, given that -34*a**4 - 234*a**3 - 380*a**2 + 48*a = 0.
-4, -3, 0, 2/17
Solve o**4/2 - 1311*o**3/4 + 3269*o**2/4 - 2613*o/4 + 653/4 = 0.
1/2, 1, 653
Solve 50*w**5 + 125*w**4 + 17*w**3 - 70*w**2 - 4*w + 8 = 0 for w.
-2, -1, -2/5, 2/5, 1/2
Suppose -2*x**4 + 2*x**3 + 20*x**2 + 16*x = 0. Calculate x.
-2, -1, 0, 4
What is a in 3*a**4 + 3*a**3 - 18*a**2 - 12*a + 24 = 0?
-2, 1, 2
What is x in -68*x**5/5 + 808*x**4/5 + 400*x**3 + 224*x**2/5 = 0?
-2, -2/17, 0, 14
Factor -2*m**3/3 - 122*m**2 + 246*m - 370/3.
-2*(m - 1)**2*(m + 185)/3
Find u, given that -24*u**5 + 502*u**4/3 - 562*u**3/3 - 1168*u**2/3 - 32*u/3 = 0.
-1, -1/36, 0, 4
Factor -2*s**3/3 + 82*s**2/3 - 1120*s/3 + 5096/3.
-2*(s - 14)**2*(s - 13)/3
Factor o**3/5 + 16*o**2/5 - 17*o/5.
o*(o - 1)*(o + 17)/5
Factor 2*z**3 + 658*z**2.
2*z**2*(z + 329)
Factor z**2 - 7*z - 18.
(z - 9)*(z + 2)
Factor 2*j**5 + 42*j**4 + 304*j**3 + 720*j**2 - 864*j - 4320.
2*(j - 2)*(j + 5)*(j + 6)**3
Factor 5*h**5 - 15*h**4 - 30*h**3 + 140*h**2 - 120*h.
5*h*(h - 2)**3*(h + 3)
What is m in -3*m**4 + 150*m**3 - 2103*m**2 + 10992*m - 17856 = 0?
3, 8, 31
Suppose -d**3/5 + 161*d**2/5 + 3141*d/5 + 14499/5 = 0. Calculate d.
-9, 179
Factor -5*l**3 - 100*l**2 - 95*l.
-5*l*(l + 1)*(l + 19)
Determine q, given that q**3/9 - 4*q**2/9 - 11*q/9 + 10/3 = 0.
-3, 2, 5
Determine a so that -2*a**3/5 - 12*a**2/5 + 102*a/5 - 88/5 = 0.
-11, 1, 4
Factor -3*v**2 + 21*v - 36.
-3*(v - 4)*(v - 3)
Determine v so that -4*v**5 - 4*v**4 + 24*v**3 - 8*v**2 - 20*v + 12 = 0.
-3, -1, 1
Factor 2*d**2 - 2374*d + 2372.
2*(d - 1186)*(d - 1)
Factor -2*z**4/13 - 88*z**3/13 - 1260*z**2/13 - 5400*z/13 + 6750/13.
-2*(z - 1)*(z + 15)**3/13
Factor -5*i**2 - 365*i + 12870.
-5*(i - 26)*(i + 99)
Factor -3*u**3/8 - 2565*u**2/4 - 731025*u/2 - 69447375.
-3*(u + 570)**3/8
Factor 3*u**4 - 9*u**3 - 3*u**2 + 9*u.
3*u*(u - 3)*(u - 1)*(u + 1)
Find k, given that -4*k**4/5 + 988*k**3/5 + 1992*k**2/5 = 0.
-2, 0, 249
Factor 2*v**4/7 + 164*v**3/7 - 170*v**2/7 - 332*v/7.
2*v*(v - 2)*(v + 1)*(v + 83)/7
Solve -366*t**2 + 346*t + 20 = 0 for t.
-10/183, 1
Find n such that 18*n**4 + 32*n**3 + 10*n**2 - 4*n = 0.
-1, 0, 2/9
Solve -6*p**3 + 22*p**2 - 24*p + 8 = 0.
2/3, 1, 2
Factor -30*s**2 - 27*s + 3.
-3*(s + 1)*(10*s - 1)
Factor 3*h**5/5 + 36*h**4/5 + 27*h**3 + 30*h**2.
3*h**2*(h + 2)*(h + 5)**2/5
What is j in -2*j**5/3 + 10*j**4 - 50*j**3 + 290*j**2/3 - 80*j + 24 = 0?
1, 6
Factor -281250*z**3 - 278250*z**2 + 2992*z - 8.
-2*