*c**3 + 115*c**2 + 198*c + 72 = 0.
-3, -2, -1/2, 12
Factor 3*g**2 - 2943*g - 2946.
3*(g - 982)*(g + 1)
Factor -d**4/5 - 149*d**3 + 2241*d**2/5 - 2243*d/5 + 748/5.
-(d - 1)**3*(d + 748)/5
Factor 3*t**2 + 45*t - 102.
3*(t - 2)*(t + 17)
Find z, given that -z**4/3 + 8*z**3/3 - 19*z**2/3 + 4*z = 0.
0, 1, 3, 4
Solve -x**2 + 38*x - 361 = 0 for x.
19
Determine t so that 2*t**5/5 + 16*t**4/5 + 2*t**3 - 28*t**2/5 = 0.
-7, -2, 0, 1
Factor -48*c**3 + 120*c**2 + 261*c + 108.
-3*(c - 4)*(4*c + 3)**2
Factor r**3/9 + 16*r**2/3 + 47*r/9.
r*(r + 1)*(r + 47)/9
Solve -x**3 + 13*x**2 - 40*x + 36 = 0.
2, 9
Solve 12*o**5/7 - 68*o**4/7 - 212*o**3/7 - 108*o**2/7 + 88*o/7 + 64/7 = 0 for o.
-1, 2/3, 8
Factor 351*p**2 - 357*p + 6.
3*(p - 1)*(117*p - 2)
Factor -3*l**2/7 - 291*l/7 - 1380/7.
-3*(l + 5)*(l + 92)/7
Solve 18*f**2 - 1347*f/7 - 228/7 = 0.
-1/6, 76/7
Factor -3*o**5 - 7773*o**4 - 6718458*o**3 - 1941620550*o**2 - 3863116803*o - 1928206941.
-3*(o + 1)**2*(o + 863)**3
Factor 245*n**4 + 35875*n**3 - 20560*n**2 + 2940*n.
5*n*(n + 147)*(7*n - 2)**2
Factor 50*y**3/7 - 108*y**2/7 + 66*y/7 - 8/7.
2*(y - 1)**2*(25*y - 4)/7
Factor 6*j**3 + 327*j**2/2 + 393*j/2 + 39.
3*(j + 1)*(j + 26)*(4*j + 1)/2
Let s**4/5 - s**3/5 - 22*s**2/5 - 44*s/5 - 24/5 = 0. What is s?
-2, -1, 6
Let 35*v**4/2 - 215*v**3/2 + 475*v**2/2 - 445*v/2 + 75 = 0. Calculate v.
1, 2, 15/7
What is g in -2*g**5/5 - 2*g**4/5 + 92*g**3/5 - 32*g**2 = 0?
-8, 0, 2, 5
What is p in p**2/3 + 5*p/3 + 2 = 0?
-3, -2
Determine i, given that 16*i**4 - 15*i**3 - i**2 = 0.
-1/16, 0, 1
Solve -b**4 + 128*b**3/3 - 184*b**2 + 256*b - 304/3 = 0 for b.
2/3, 2, 38
What is g in -2*g**4/7 + 214*g**3/7 + 656*g**2/7 + 440*g/7 = 0?
-2, -1, 0, 110
Factor -2*h**3/9 - 10*h**2/3 + 68*h/9.
-2*h*(h - 2)*(h + 17)/9
Factor -m**2 - 102*m - 101.
-(m + 1)*(m + 101)
Solve 196*i**3 + 112*i**2 - 76*i + 8 = 0.
-1, 1/7, 2/7
Solve 2*g**5/19 + 20*g**4/19 - 4*g**3/19 - 40*g**2/19 + 2*g/19 + 20/19 = 0.
-10, -1, 1
Find p such that -4*p**3 - 60*p**2 + 4*p + 60 = 0.
-15, -1, 1
Let -3*a**5 + 180*a**4 + 1854*a**3 - 166944*a**2 - 338715*a - 170100 = 0. What is a?
-28, -1, 45
Factor 22*w**3/7 + 10*w**2 + 12*w/7.
2*w*(w + 3)*(11*w + 2)/7
Factor -d**2/12 + 1027*d/12 + 343/2.
-(d - 1029)*(d + 2)/12
Factor -4*l**3/9 - 164*l**2/9 + 56*l/3.
-4*l*(l - 1)*(l + 42)/9
Suppose -s**5/5 + 3*s**3 + 2*s**2 - 12*s - 72/5 = 0. Calculate s.
-2, 3
Solve 4*u**3 - 116*u**2 + 860*u - 748 = 0.
1, 11, 17
Factor 2*t**2 - 3288*t + 1351368.
2*(t - 822)**2
Factor -2*h**2 - 1340*h - 224450.
-2*(h + 335)**2
Factor -w**5/10 + 14*w**4/5 - 39*w**3/5 + 38*w**2/5 - 5*w/2.
-w*(w - 25)*(w - 1)**3/10
Find k, given that 5*k**4 + k**3 - 171*k**2/5 - 189*k/5 - 54/5 = 0.
-2, -3/5, 3
What is c in 2*c**2/9 - 32*c/9 + 26/3 = 0?
3, 13
Factor -5*n**2 - 450*n - 10125.
-5*(n + 45)**2
Suppose j**3/3 - 187*j**2/3 = 0. What is j?
0, 187
Suppose -3*p**2/4 + 1071*p/2 = 0. What is p?
0, 714
Factor -x**4/5 - 18*x**3/5 - 9*x**2 + 148*x/5 - 84/5.
-(x - 1)**2*(x + 6)*(x + 14)/5
Determine t, given that 4*t**2 + 168*t - 172 = 0.
-43, 1
Find f, given that -14*f**3 - 1186*f**2 + 4036*f - 1056 = 0.
-88, 2/7, 3
Solve -k**4/2 + 3*k**3/2 = 0 for k.
0, 3
Find p, given that 4*p**3/7 - 8*p**2/7 - 4*p - 16/7 = 0.
-1, 4
Let k**4/3 + 7*k**3/3 + 11*k**2/3 - 7*k/3 - 4 = 0. What is k?
-4, -3, -1, 1
Suppose -8*k**4 - 114*k**3 + 412*k**2 + 654*k + 136 = 0. Calculate k.
-17, -1, -1/4, 4
Factor 4*c**2 - 4*c.
4*c*(c - 1)
What is s in 2*s**4/3 - 14*s**3/3 + 34*s**2/3 - 34*s/3 + 4 = 0?
1, 2, 3
Determine x so that -x**4/5 - 2*x**3 - 16*x**2/5 = 0.
-8, -2, 0
Factor -24*m**4 - 75*m**3 - 81*m**2 - 33*m - 3.
-3*(m + 1)**3*(8*m + 1)
Determine h, given that -3*h**2/4 - 27*h/2 - 51/4 = 0.
-17, -1
Factor 5*p**2 - 105*p + 190.
5*(p - 19)*(p - 2)
Factor 3*x**2/4 - 27*x/4 + 21/2.
3*(x - 7)*(x - 2)/4
Factor u**2 + 27*u.
u*(u + 27)
Find v, given that -4*v**3/3 + 44*v**2 - 584*v/3 - 576 = 0.
-2, 8, 27
Determine l so that l**4/3 + 158*l**3/3 + 2027*l**2 - 12640*l/3 + 6400/3 = 0.
-80, 1
Factor -n**5 - n**4 + 14*n**3 - 26*n**2 + 19*n - 5.
-(n - 1)**4*(n + 5)
Solve -5*m**5 - 35*m**4 - 80*m**3 - 40*m**2 + 80*m + 80 = 0.
-2, 1
Factor -2*k**3/11 - 14*k**2/11 - 8*k/11 + 24/11.
-2*(k - 1)*(k + 2)*(k + 6)/11
Suppose 3*t**5 + 45*t**4 + 78*t**3 = 0. Calculate t.
-13, -2, 0
Factor 3*h**2/4 - 165*h + 9075.
3*(h - 110)**2/4
Suppose -4*l**2/5 + 4*l + 1824/5 = 0. Calculate l.
-19, 24
Factor 6*u**3 - 49*u**2/2 - 28*u + 5/2.
(u - 5)*(u + 1)*(12*u - 1)/2
Find s such that -2*s**5 + 18*s**4 - 64*s**3 + 112*s**2 - 96*s + 32 = 0.
1, 2
Determine p so that 2*p**3/13 + 18*p**2/13 + 12*p/13 - 32/13 = 0.
-8, -2, 1
Factor -2*h**3 + 1850*h**2 + 3706*h + 1854.
-2*(h - 927)*(h + 1)**2
Factor -b**3 + 549*b**2 - 100467*b + 6128487.
-(b - 183)**3
Let 9*f**4 - 138*f**3 + 36*f**2 + 138*f - 45 = 0. What is f?
-1, 1/3, 1, 15
Suppose 5*p**3/6 + 85*p**2/2 - 265*p/3 = 0. Calculate p.
-53, 0, 2
Factor -k**3 - 23*k**2 + k + 23.
-(k - 1)*(k + 1)*(k + 23)
Determine f, given that -9*f**3/4 + 147*f**2 + 395*f/4 + 33/2 = 0.
-1/3, 66
Factor -r**5 + 3*r**4 + 16*r**3 - 20*r**2 - 96*r - 64.
-(r - 4)**2*(r + 1)*(r + 2)**2
Solve -2*n**2/17 + 2814*n/17 + 5636/17 = 0.
-2, 1409
Determine b so that 6*b**4/17 + 154*b**3/17 + 1108*b**2/17 + 1536*b/17 + 576/17 = 0.
-12, -1, -2/3
Factor 51483*t**2/4 + 11790*t + 2700.
3*(131*t + 60)**2/4
Find r, given that -28*r**3 + 36*r**2 + 184*r = 0.
-2, 0, 23/7
What is h in 4*h**4 + 12*h**3 - 12*h**2 - 28*h + 24 = 0?
-3, -2, 1
Solve 6*k**5 + 117*k**4 + 576*k**3 + 906*k**2 + 90*k - 351 = 0 for k.
-13, -3, -1, 1/2
Factor -3*t**5/4 + 213*t**4/4 - 4089*t**3/4 + 11019*t**2/4 - 2652*t + 867.
-3*(t - 34)**2*(t - 1)**3/4
Let -5*t**3/3 - 52*t**2/3 + 100*t/3 + 16 = 0. What is t?
-12, -2/5, 2
Factor 4*g**3 - 52*g**2 + 128*g - 80.
4*(g - 10)*(g - 2)*(g - 1)
Factor 2*p**3/7 - 90*p**2/7 + 750*p/7 + 6250/7.
2*(p - 25)**2*(p + 5)/7
Factor -4*x**3 + 32*x**2 + 124*x + 88.
-4*(x - 11)*(x + 1)*(x + 2)
Factor 2*y**4/9 + 20*y**3/9 + 74*y**2/9 + 40*y/3 + 8.
2*(y + 2)**2*(y + 3)**2/9
Find c, given that 5*c**3 - 810*c**2 = 0.
0, 162
Factor -3*v**3 - 258*v**2 - 5547*v.
-3*v*(v + 43)**2
Factor 2*f**2 - 162*f + 316.
2*(f - 79)*(f - 2)
Suppose 7*y**3/5 - 3*y**2/5 - 18*y/5 - 8/5 = 0. Calculate y.
-1, -4/7, 2
Let 2*w**2/3 - 25*w/3 - 14 = 0. Calculate w.
-3/2, 14
Suppose v**3/2 + 19*v**2/2 + 25*v + 16 = 0. Calculate v.
-16, -2, -1
Factor 2*w**3/3 - 70*w**2 - 428*w/3.
2*w*(w - 107)*(w + 2)/3
Suppose 2*l**2/5 + 44*l/5 - 30 = 0. Calculate l.
-25, 3
Suppose -18*h**5 - 6*h**4 + 580*h**3 + 2028*h**2 + 2510*h + 1050 = 0. What is h?
-3, -5/3, -1, 7
Factor -k**2/11 + 15*k/11 + 76/11.
-(k - 19)*(k + 4)/11
Determine u so that u**3/2 - 17*u**2/4 - 13*u - 33/4 = 0.
-3/2, -1, 11
Let -9*n**5 - 282*n**4 + 795*n**3 - 708*n**2 + 204*n = 0. What is n?
-34, 0, 2/3, 1
Suppose s**3 + 29*s**2 + 74*s - 104 = 0. What is s?
-26, -4, 1
What is p in -3*p**2 + 48*p + 315 = 0?
-5, 21
Determine z, given that 2*z**5/3 - 26*z**4/3 - 2*z**3/3 + 26*z**2/3 = 0.
-1, 0, 1, 13
Factor s**5 - 6*s**3 - 8*s**2 - 3*s.
s*(s - 3)*(s + 1)**3
Factor 2*w**4/3 - 14*w**3/3 + 10*w**2 - 6*w.
2*w*(w - 3)**2*(w - 1)/3
Solve r**4/2 + 127*r**3/6 + 17*r**2/3 - 166*r/3 + 28 = 0.
-42, -2, 2/3, 1
What is s in 18*s**5 - 40*s**4 - 46*s**3 + 156*s**2 - 104*s + 16 = 0?
-2, 2/9, 1, 2
Suppose 7*m**5 - 240*m**4 + 61*m**3 + 240*m**2 - 68*m = 0. What is m?
-1, 0, 2/7, 1, 34
Let -3*l**2 - 16938*l - 23907987 = 0. What is l?
-2823
Find x, given that 2*x**2/9 + 304*x/9 - 34 = 0.
-153, 1
Find m such that -2*m**5 - 298*m**4/7 - 188*m**3 - 2200*m**2/7 - 1424*m/7 - 256/7 = 0.
-16, -2, -1, -2/7
Determine j so that -7*j**5/10 + 29*j**4/2 + 49*j**3/10 - 29*j**2/2 - 21*j/5 = 0.
-1, -2/7, 0, 1, 21
Factor -5*r**3 - 385*r**2 - 5310*r.
-5*r*(r + 18)*(r + 59)
Suppose 4*h**4 + 28*h**3 + 68*h**2 + 68*h + 24 = 0. What is h?
-3, -2, -1
Factor a**3/4 + 23*a**2/4 - 49*a/4 + 25/4.
(a - 1)**2*(a + 25)/4
Factor -2*y**2/9 + 92*y/3 - 1058.
-2*(y - 69)**2/9
Suppose 4*v**5/3 + 1696*v**4/3 + 238564*v**3/3 + 10970920*v**2/3 - 22664336*v/3 + 11453152/3 = 0. Calculate v.
-142, 1
Factor -2*z**4/3 + 68*z**3/3 + 296*z**2/3 + 304*z/3.
-2*z*(z - 38)*(z + 2)**2/3
Solve 4*z**3/5 + 456*z**2/5 = 0.
-114, 0
Let -l**2/8 - 6*l = 0. Calculate l.
-48, 0
Find c such that -c**4/7 - 4*c**3/7 + 10*c**2/7 + 4*c + 15/7 = 0.
-5, -1, 3
So