- 2628)**2
Solve -3*u**2 + 30*u - 48 = 0.
2, 8
Find r, given that 5*r**4 + 35*r**3 - 135*r**2 + 145*r - 50 = 0.
-10, 1
Let 2*g**4 + 58286*g**3/5 + 113234154*g**2/5 + 73307785082*g/5 - 29341235228/5 = 0. Calculate g.
-1943, 2/5
Factor q**5/2 + 45*q**4 + 89*q**3/2.
q**3*(q + 1)*(q + 89)/2
What is i in 3*i**2 + 42*i - 441 = 0?
-21, 7
Factor -2*o**4/17 - 12*o**3/17 - 24*o**2/17 - 20*o/17 - 6/17.
-2*(o + 1)**3*(o + 3)/17
Solve 3*a**2 + 57*a + 252 = 0.
-12, -7
Factor -5*m**5 - 395*m**4 - 11510*m**3 - 148810*m**2 - 806725*m - 1520875.
-5*(m + 5)**2*(m + 23)**3
Find o, given that 3*o**4 - 198*o**3 + 3639*o**2 - 12276*o + 11532 = 0.
2, 31
Factor 96*b**5 - 28*b**4 - 24*b**3.
4*b**3*(3*b - 2)*(8*b + 3)
Factor -x**4 - 6*x**3 + 19*x**2 + 24*x.
-x*(x - 3)*(x + 1)*(x + 8)
Let -3*t**3/5 + 1371*t**2/5 + 2751*t/5 + 1377/5 = 0. Calculate t.
-1, 459
Let 2*l**5 - 10*l**4 - 6*l**3 + 34*l**2 - 20*l = 0. Calculate l.
-2, 0, 1, 5
What is w in -w**5 + 117*w**4 - 566*w**3 + 668*w**2 + 456*w - 896 = 0?
-1, 2, 112
What is w in -w**2 + 8*w = 0?
0, 8
Determine h, given that -3*h**5/7 + 9*h**4 - 150*h**3/7 - 36*h**2 + 648*h/7 = 0.
-2, 0, 2, 3, 18
Solve 6*l**2/5 + 1358*l/5 - 908/5 = 0 for l.
-227, 2/3
Factor -2*b**2/7 + 178*b/7 - 348/7.
-2*(b - 87)*(b - 2)/7
Find t such that 7*t**5/3 + 47*t**4/3 + 98*t**3/3 + 52*t**2/3 - 8*t = 0.
-3, -2, 0, 2/7
Factor -3*g**5 - 36*g**4 - 36*g**3 + 354*g**2 - 441*g + 162.
-3*(g - 1)**3*(g + 6)*(g + 9)
Let 6*j**5 + 8*j**4 - 80*j**3 + 132*j**2 - 86*j + 20 = 0. Calculate j.
-5, 2/3, 1
Find x, given that -2*x**2/7 - 1936*x/7 + 1938/7 = 0.
-969, 1
Suppose -2*w**2/7 + 24*w/7 = 0. What is w?
0, 12
Factor 8*f**4 + 156*f**3 + 780*f**2 + 352*f.
4*f*(f + 8)*(f + 11)*(2*f + 1)
Factor -z**4/5 + 2*z**3 + 23*z**2/5 + 12*z/5.
-z*(z - 12)*(z + 1)**2/5
Factor 5*r**3 + 2245*r**2 + 253120*r + 250880.
5*(r + 1)*(r + 224)**2
Factor m**2/6 + 101*m/6 + 33.
(m + 2)*(m + 99)/6
Factor -16*a**2 + 466*a - 504.
-2*(a - 28)*(8*a - 9)
Let 4*b**5 - 24*b**4 - 12*b**3 + 80*b**2 - 48*b = 0. What is b?
-2, 0, 1, 6
Factor 2*r**4/9 - 16*r**2/3 + 128*r/9 - 32/3.
2*(r - 2)**3*(r + 6)/9
Let -s**3/2 - 345*s**2/2 - 3375*s/2 - 8375/2 = 0. Calculate s.
-335, -5
Factor l**5/3 - 37*l**4/3 - 186*l**3 - 1442*l**2/3 - 1363*l/3 - 147.
(l - 49)*(l + 1)**3*(l + 9)/3
Factor 4*j**4 - 88*j**3 + 564*j**2 - 880*j + 400.
4*(j - 10)**2*(j - 1)**2
Factor -2*k**3/7 + 24*k**2/7 - 90*k/7 + 108/7.
-2*(k - 6)*(k - 3)**2/7
Factor -2*p**5/3 + 16*p**4/3 - 14*p**3 + 12*p**2.
-2*p**2*(p - 3)**2*(p - 2)/3
What is f in -3*f**3/2 - 15*f**2/2 - 12*f - 6 = 0?
-2, -1
Determine t, given that -5*t**5 - 10*t**4 + 40*t**3 - 10*t**2 - 35*t + 20 = 0.
-4, -1, 1
Let 2*a**5/5 + 4*a**4/5 - 54*a**3/5 - 8*a**2/5 + 152*a/5 - 96/5 = 0. What is a?
-6, -2, 1, 4
Factor -4*c**4 - 80*c**3 - 524*c**2 - 1264*c - 1008.
-4*(c + 2)**2*(c + 7)*(c + 9)
Determine h, given that -2*h**5/7 + 342*h**4/7 - 15760*h**3/7 + 96728*h**2/7 - 102336*h/7 - 215168/7 = 0.
-1, 4, 82
Factor -12*v**3 - 20*v**2 + 232*v + 160.
-4*(v - 4)*(v + 5)*(3*v + 2)
Factor 2*k**5/5 - 18*k**4/5 - 4*k**3.
2*k**3*(k - 10)*(k + 1)/5
Find s, given that 2*s**4/3 - 770*s**3/3 - 1558*s**2 - 2346*s = 0.
-3, 0, 391
Let -5*w**3 + 1025*w**2 - 53040*w + 52020 = 0. Calculate w.
1, 102
Suppose 196*x**2 - 1680*x + 3600 = 0. What is x?
30/7
Factor -5*w**2 + 1510*w - 3000.
-5*(w - 300)*(w - 2)
Factor -2*j**3 - 6*j**2 - 4*j.
-2*j*(j + 1)*(j + 2)
What is d in 3*d**4 - 402*d**3 + 1896*d**2 + 5010*d + 2709 = 0?
-1, 7, 129
Factor -3*m**3/5 + 18*m**2/5 + 33*m.
-3*m*(m - 11)*(m + 5)/5
Factor -2*q**3/5 - 24*q**2/5 + 2*q/5 + 24/5.
-2*(q - 1)*(q + 1)*(q + 12)/5
Factor 27*d**3 - 21*d**2 - 168*d - 36.
3*(d - 3)*(d + 2)*(9*d + 2)
Factor 2*g**4 - 722*g**3 + 1430*g**2 + 2154*g.
2*g*(g - 359)*(g - 3)*(g + 1)
Suppose 3*l**4/2 - 3*l**3 - 45*l**2/2 = 0. Calculate l.
-3, 0, 5
Factor -3*a**5/8 - 129*a**4/4 - 6267*a**3/8 - 3870*a**2 - 5400*a.
-3*a*(a + 3)**2*(a + 40)**2/8
Factor 2*g**2/11 - 128*g/11 + 248/11.
2*(g - 62)*(g - 2)/11
Solve 2*v**5/7 + 6*v**4/7 + 4*v**3/7 - 4*v**2/7 - 6*v/7 - 2/7 = 0.
-1, 1
Factor -98*a**4 + 952*a**3 - 2984*a**2 + 3264*a - 1152.
-2*(a - 4)**2*(7*a - 6)**2
Suppose i**3/2 + 2556*i**2 + 4355424*i + 2473880832 = 0. Calculate i.
-1704
Factor -y**2/6 + 49*y/6 + 25/3.
-(y - 50)*(y + 1)/6
Let 2*m**3/5 - 8*m**2/5 - 14*m/5 + 4 = 0. What is m?
-2, 1, 5
Factor -r**4/5 + 91*r**3/5 - 519*r**2/5 + 769*r/5 - 68.
-(r - 85)*(r - 4)*(r - 1)**2/5
Determine b, given that -6*b**5/5 - 91*b**4/5 + 193*b**3/5 + 93*b**2/5 - 151*b/5 + 34/5 = 0.
-17, -1, 1/3, 1/2, 2
Solve c**2 - 14*c - 15 = 0 for c.
-1, 15
Factor -3*r**4 + 6*r**3 - 3*r**2.
-3*r**2*(r - 1)**2
Factor 3*m**5/2 + 3*m**4/2 - 9*m**3 - 21*m**2 - 33*m/2 - 9/2.
3*(m - 3)*(m + 1)**4/2
Determine f so that -f**4/4 + f**3/2 + 59*f**2/4 + 48*f + 45 = 0.
-3, -2, 10
Factor -4*c**4/3 - 8*c**3/3.
-4*c**3*(c + 2)/3
Factor 8*c**2/7 - 197*c/7 - 75/7.
(c - 25)*(8*c + 3)/7
Suppose -98*a**4 - 476*a**3 - 858*a**2 - 680*a - 200 = 0. What is a?
-10/7, -1
Factor -4*b**2 + 31424*b - 61716736.
-4*(b - 3928)**2
Let -46*b**2 - 119*b - 54 = 0. What is b?
-2, -27/46
Determine k so that 9*k**3 + 2577*k**2 - 1721*k + 287 = 0.
-287, 1/3
What is o in 8*o**5/5 + 192*o**4/5 - 198*o**3/5 + 10*o**2 = 0?
-25, 0, 1/2
Suppose -i**2/5 + 66*i/5 - 1089/5 = 0. Calculate i.
33
Determine b, given that -3*b**5/4 + 345*b**4/4 - 339*b**3/2 - 3*b**2/2 + 681*b/4 - 339/4 = 0.
-1, 1, 113
Factor -3*a**3/2 - 15*a**2/2 + 39*a/2 - 21/2.
-3*(a - 1)**2*(a + 7)/2
Factor -p**2 + 7*p - 6.
-(p - 6)*(p - 1)
Let -5120*n**5 - 160000*n**4 - 2000000*n**3 - 12500000*n**2 - 39062500*n - 48828125 = 0. What is n?
-25/4
Solve -49*m**3 + 3066*m**2 - 1740*m + 248 = 0.
2/7, 62
Factor 3*p**2/8 + 1215*p/4 - 12225/8.
3*(p - 5)*(p + 815)/8
Determine f so that -3*f**2/2 + 24*f + 51/2 = 0.
-1, 17
Suppose m**2/4 + 36*m + 143/4 = 0. What is m?
-143, -1
Suppose -6*p**5 + 968*p**4/3 + 402*p**3 + 220*p**2/3 = 0. What is p?
-1, -2/9, 0, 55
Factor 1764*i**4 - 204960*i**3 + 5973088*i**2 - 1132160*i + 53824.
4*(i - 58)**2*(21*i - 2)**2
Suppose r**3/9 + 10*r**2/9 + 13*r/9 - 8/3 = 0. Calculate r.
-8, -3, 1
Solve 3*h**5 + 42*h**4 + 183*h**3 + 348*h**2 + 300*h + 96 = 0 for h.
-8, -2, -1
Determine l so that -4*l**5 - 92*l**4 - 636*l**3 - 1396*l**2 - 1232*l - 384 = 0.
-12, -8, -1
Suppose b**3 + 232*b**2 + 231*b = 0. What is b?
-231, -1, 0
Factor 2*b**4/5 + 36*b**3/5 - 42*b**2/5 - 76*b/5.
2*b*(b - 2)*(b + 1)*(b + 19)/5
Factor -2*b**5/3 + 2*b**4 - 2*b**3 + 2*b**2/3.
-2*b**2*(b - 1)**3/3
Factor 4*v**4 - 704*v**3 + 33600*v**2 - 225792*v.
4*v*(v - 84)**2*(v - 8)
Solve -u**2/4 + 79*u/2 + 159/4 = 0 for u.
-1, 159
Factor 2*r**2/5 - 1716*r/5 + 1714/5.
2*(r - 857)*(r - 1)/5
Factor -3*h**2 - 69*h - 306.
-3*(h + 6)*(h + 17)
Factor -2*w**2/17 - 38*w/17 - 168/17.
-2*(w + 7)*(w + 12)/17
Factor -3*f**2/8 - 63*f/8.
-3*f*(f + 21)/8
Factor -4*j**4 + 40*j**3 - 132*j**2 + 176*j - 80.
-4*(j - 5)*(j - 2)**2*(j - 1)
Let -3*n**5/5 - 36*n**4 - 972*n**3/5 + 162*n**2/5 + 8991*n/5 + 13122/5 = 0. What is n?
-54, -3, 3
Factor 5*j**3/2 - 480*j**2 - 965*j/2.
5*j*(j - 193)*(j + 1)/2
Factor 4*r**3/9 - 16*r**2/3 - 1684*r/9 + 192.
4*(r - 27)*(r - 1)*(r + 16)/9
Factor w**2/10 - w/2 + 3/5.
(w - 3)*(w - 2)/10
Factor -5*r**2 - 50*r - 120.
-5*(r + 4)*(r + 6)
Determine n so that 3*n**3 - 215*n**2 - 74*n + 144 = 0.
-1, 2/3, 72
Solve j**3/3 + 8*j**2/3 + 4*j = 0.
-6, -2, 0
Suppose -p**2/4 - 5*p = 0. Calculate p.
-20, 0
Let 2*t**4/3 + 20*t**3/9 - 34*t**2/9 - 32*t/3 + 8 = 0. Calculate t.
-3, 2/3, 2
Factor 2*i**4 + 300*i**3 + 11546*i**2 + 22200*i + 10952.
2*(i + 1)**2*(i + 74)**2
Let 3*r**3 - 51*r**2 + 48*r = 0. Calculate r.
0, 1, 16
Factor -r**2/3 + 34*r/3 + 224.
-(r - 48)*(r + 14)/3
Factor -o**4 - 19*o**3 - 112*o**2 - 192*o.
-o*(o + 3)*(o + 8)**2
Factor 6*s**3/17 - 248*s**2/17 + 82*s/17.
2*s*(s - 41)*(3*s - 1)/17
Factor -4*a**2 + 140*a - 136.
-4*(a - 34)*(a - 1)
Solve -42483*f**4 - 39627*f**3 + 87774*f**2 - 5760*f + 96 = 0 for f.
-2, 4/119, 1
Solve 2*x**2 - 216*x - 896 = 0 for x.
-4, 112
Determine f, given that -15*f**5 - 25*f**4 + 55*f**3 + 45*f**2 - 80*f + 20 = 0.
-2, 1/3, 1
What is g in 21*g**3 - 111*g**2 + 156*g - 36 = 0?
2/7, 2, 3
Solve 2*r**2/17 - 22076*r/17 + 60918722/17 = 0 for r.
5519
Solve -196*u**3 + 37744*u**2 - 21520*u + 3072 = 0.
2/7, 192
Factor 20*y**2 - 3855*y - 965.
5*(y -