/5 - 288/5.
-3*(j - 2)*(j - 1)*(j + 48)/5
Determine s, given that -4*s**3/9 - 344*s**2/9 - 6596*s/9 + 6944/9 = 0.
-56, -31, 1
Factor 2*x**5/7 - 72*x**4/7 + 138*x**3/7 - 68*x**2/7.
2*x**2*(x - 34)*(x - 1)**2/7
Factor 3*y**2/2 + 21*y/2 + 9.
3*(y + 1)*(y + 6)/2
Factor -5*m**3 + 790*m**2 - 1565*m + 780.
-5*(m - 156)*(m - 1)**2
Suppose -k**3/4 - 9*k**2/4 - 6*k - 4 = 0. Calculate k.
-4, -1
Factor 2*t**2/5 + 26*t/5.
2*t*(t + 13)/5
Factor 8*j**2/3 + 166*j + 124/3.
2*(j + 62)*(4*j + 1)/3
Solve -5*f**2 + 35*f + 90 = 0 for f.
-2, 9
Let -p**2/4 + 5*p - 25 = 0. What is p?
10
Factor 2*m**4 - 2*m**2.
2*m**2*(m - 1)*(m + 1)
Factor 2*b**2/9 + 14*b/9 + 20/9.
2*(b + 2)*(b + 5)/9
Factor 2*y**4/9 + 86*y**3/9 + 880*y**2/9 - 968*y/9.
2*y*(y - 1)*(y + 22)**2/9
Determine y so that -21*y**5 + 9*y**4/5 + 762*y**3/5 + 108*y**2 - 216*y/5 = 0.
-2, -6/5, 0, 2/7, 3
Solve 2*j**2/5 - 6*j/5 - 216/5 = 0.
-9, 12
Find w such that -27*w**4/2 + 423*w**3/2 + 609*w**2/2 + 57*w/2 - 51 = 0.
-1, -2/3, 1/3, 17
Determine i, given that -2*i**2 + 86*i - 312 = 0.
4, 39
Let 2*k**3/7 + 4426*k**2/7 + 4420*k/7 - 1264 = 0. What is k?
-2212, -2, 1
Factor -5*k**4 + 35*k**2 - 30*k.
-5*k*(k - 2)*(k - 1)*(k + 3)
Factor r**4 + 16*r**3 - 55*r**2 + 38*r.
r*(r - 2)*(r - 1)*(r + 19)
Factor 2*d**2/3 + 26*d + 448/3.
2*(d + 7)*(d + 32)/3
Solve 2*v**5 + 138*v**4 + 976*v**3 = 0.
-61, -8, 0
Factor -z**4 + z**3 + z**2 - z.
-z*(z - 1)**2*(z + 1)
Factor b**2/3 + 23*b/3 + 34.
(b + 6)*(b + 17)/3
Factor 33*i**4 - 115*i**3 + 48*i**2 + 132*i - 64.
(i - 2)**2*(i + 1)*(33*i - 16)
Find q, given that -q**5 + 11*q**4 - 46*q**3 + 90*q**2 - 81*q + 27 = 0.
1, 3
Let -106*c**3 - 632*c**2 + 766*c - 28 = 0. Calculate c.
-7, 2/53, 1
Factor 2*v**4 + 4*v**3 - 10*v**2 - 12*v.
2*v*(v - 2)*(v + 1)*(v + 3)
Factor -i**2/12 + 704*i/3 + 939/4.
-(i - 2817)*(i + 1)/12
Factor 2*r**2/9 + 20*r/9 - 26/3.
2*(r - 3)*(r + 13)/9
Determine d, given that 14*d**4 + 50*d**3 + 46*d**2 - 2*d - 12 = 0.
-2, -1, 3/7
Determine d, given that d**4 - 4*d**3 - 11*d**2 - 6*d = 0.
-1, 0, 6
Factor 4*x**2/7 + 33*x/7 - 27/7.
(x + 9)*(4*x - 3)/7
Factor -2*v**3 + 66*v**2 + 212*v + 144.
-2*(v - 36)*(v + 1)*(v + 2)
Find z such that 2*z**5/3 - 64*z**4/3 + 412*z**3/3 + 2176*z**2/3 - 2890*z = 0.
-5, 0, 3, 17
Factor -o**2/3 - o - 2/3.
-(o + 1)*(o + 2)/3
Determine y so that 2*y**3 - 42*y**2 + 196*y = 0.
0, 7, 14
Factor -3*i**3/8 - 381*i**2/8 + 195*i - 393/2.
-3*(i - 2)**2*(i + 131)/8
Factor -2*u**2/15 - 6*u/5 - 12/5.
-2*(u + 3)*(u + 6)/15
Factor 4*f**3/3 + 496*f**2/3 + 976*f/3.
4*f*(f + 2)*(f + 122)/3
Solve -4*f**2 - 1084*f - 1080 = 0.
-270, -1
Factor o**4 + 16*o**3 - 75*o**2 + 98*o - 40.
(o - 2)*(o - 1)**2*(o + 20)
Determine v so that -2*v**4/13 + 94*v**2/13 + 108*v/13 - 560/13 = 0.
-5, -4, 2, 7
Determine s so that -2*s**4/19 - 24*s**3/19 - 102*s**2/19 - 184*s/19 - 120/19 = 0.
-5, -3, -2
Find z, given that 4*z**4 + 768*z**3 + 38352*z**2 + 141376*z = 0.
-94, -4, 0
Find l such that l**3 + 16*l**2 + 29*l + 14 = 0.
-14, -1
Let -2*s**4 - 4*s**3 + 30*s**2 - 8*s - 40 = 0. What is s?
-5, -1, 2
Factor -i**3 + 6*i**2 + 7*i.
-i*(i - 7)*(i + 1)
Suppose -30*z**4 + 93*z**3 - 69*z**2 + 6*z = 0. Calculate z.
0, 1/10, 1, 2
Factor 2*w**4/7 + 6*w**3/7 - 4*w**2/7 - 24*w/7 - 16/7.
2*(w - 2)*(w + 1)*(w + 2)**2/7
What is l in -2*l**2 + 344*l + 3640 = 0?
-10, 182
Suppose -r**2 - 59*r - 58 = 0. What is r?
-58, -1
Factor -5*u**3 - 157*u**2 + 436*u - 204.
-(u - 2)*(u + 34)*(5*u - 3)
Let 3*j**2 + 18*j + 15 = 0. What is j?
-5, -1
Factor u**2/4 - 69*u/4 - 54.
(u - 72)*(u + 3)/4
Factor 2*c**2 - 8*c - 42.
2*(c - 7)*(c + 3)
Factor k**3/3 + 56*k**2/3 + 784*k/3.
k*(k + 28)**2/3
Find j such that -11*j**3/8 - 35*j**2/8 - 7*j/2 - 1/2 = 0.
-2, -1, -2/11
Find b, given that -3*b**4/5 + 219*b**3/5 - 324*b**2 + 3948*b/5 - 624 = 0.
2, 4, 65
Let -4*k**4 - 32*k**3 - 48*k**2 + 128*k + 256 = 0. What is k?
-4, -2, 2
Factor -2*z**2/7 - 6*z/7 + 8/7.
-2*(z - 1)*(z + 4)/7
Factor 4*c**4 + 17800*c**3 + 19820292*c**2 + 39587200*c + 19784704.
4*(c + 1)**2*(c + 2224)**2
Factor -b**5/7 + 18*b**4/7 - 57*b**3/7 - 424*b**2/7 + 192*b + 4608/7.
-(b - 8)**3*(b + 3)**2/7
Factor -q**4 - 8*q**3 - 18*q**2 - 16*q - 5.
-(q + 1)**3*(q + 5)
What is f in 2*f**5/3 + 6*f**4 + 22*f**3/3 - 38*f**2 - 48*f + 72 = 0?
-6, -3, 1, 2
What is x in 2*x**2 + 12400*x + 19220000 = 0?
-3100
What is n in 311*n**2/2 + 1867*n/2 + 3 = 0?
-6, -1/311
Solve -2*c**3/3 - 4*c**2 + 2*c/3 + 20 = 0.
-5, -3, 2
Factor 2*h**4 - 52*h**3 + 154*h**2 + 472*h + 264.
2*(h - 22)*(h - 6)*(h + 1)**2
Let 2*c**2 + 18*c - 44 = 0. Calculate c.
-11, 2
Factor -l**3 - 730*l**2 + 5888*l - 11808.
-(l - 4)**2*(l + 738)
Find g such that -8*g**3 + 118*g**2 + 30*g = 0.
-1/4, 0, 15
Factor a**2/7 + 1518*a + 4032567.
(a + 5313)**2/7
Solve s**4 + 245*s**3 + 15128*s**2 + 14884*s = 0 for s.
-122, -1, 0
Find f such that -2*f**2/11 - 148*f/11 - 2738/11 = 0.
-37
Factor -2*f**3/15 + 818*f**2/15 - 326*f/3 + 814/15.
-2*(f - 407)*(f - 1)**2/15
Determine o, given that -2*o**5/11 + 26*o**4 - 10080*o**3/11 - 10368*o**2/11 = 0.
-1, 0, 72
Suppose 3*s**2 + 3*s - 330 = 0. Calculate s.
-11, 10
Find a such that 4*a**5/5 - 84*a**4/5 + 504*a**3/5 - 216*a**2/5 - 972*a + 8748/5 = 0.
-3, 3, 9
Factor -d**4/3 + 1712*d**3/3 - 739552*d**2/3 + 1944832*d - 3871488.
-(d - 852)**2*(d - 4)**2/3
What is u in 162*u**5/5 + 4824*u**4 + 13762*u**3 + 14116*u**2 + 6080*u + 4672/5 = 0?
-146, -1, -4/9
Let -267*y**3/5 - 3032*y**2/5 + 2068*y/5 + 48/5 = 0. What is y?
-12, -2/89, 2/3
Let -m**3/10 - 2*m**2/5 + 9*m/10 + 18/5 = 0. Calculate m.
-4, -3, 3
Factor 8*g**3/7 - 284*g**2/7 - 752*g/7 - 304/7.
4*(g - 38)*(g + 2)*(2*g + 1)/7
Let l**5 - 22*l**4 + 60*l**3 - 58*l**2 + 19*l = 0. What is l?
0, 1, 19
Factor -2*z**4/3 - 728*z**3/3 - 20836*z**2 + 680680*z/3 - 1748450/3.
-2*(z - 5)**2*(z + 187)**2/3
Factor -2*w**3/7 + 4*w**2 - 26*w/7.
-2*w*(w - 13)*(w - 1)/7
Solve f**4 - 75*f**3 + 358*f**2 - 564*f + 280 = 0 for f.
1, 2, 70
Factor -5*v**4 - 35*v**3 + 40*v**2.
-5*v**2*(v - 1)*(v + 8)
Factor -2*y**4/7 + 326*y**3/7 - 17820*y**2/7 + 332424*y/7 - 314928/7.
-2*(y - 54)**3*(y - 1)/7
Factor 2*s**4/15 - 146*s**3/3 + 66976*s**2/15 - 66248*s/15.
2*s*(s - 182)**2*(s - 1)/15
Let -35*g**5 - 885*g**4 + 1675*g**3 + 1425*g**2 - 1640*g - 540 = 0. What is g?
-27, -1, -2/7, 1, 2
Find l, given that -3*l**2 + 33*l + 78 = 0.
-2, 13
Factor -5*x**2/6 - 5*x - 25/6.
-5*(x + 1)*(x + 5)/6
Solve -60*y**2 - 668*y - 88 = 0 for y.
-11, -2/15
Factor 4*j**5/3 - 28*j**4/3 + 4*j**3 + 92*j**2/3 - 128*j/3 + 16.
4*(j - 6)*(j - 1)**3*(j + 2)/3
Solve -d**4 - 38*d**3 - 397*d**2 - 684*d - 324 = 0 for d.
-18, -1
Find g, given that -g**3/3 - 92*g**2 - 364*g - 1088/3 = 0.
-272, -2
Determine r so that 50*r**3 + 2160*r**2 - 1752*r + 352 = 0.
-44, 2/5
Solve 10*o**3 - 5104*o**2 + 7130*o - 2036 = 0.
2/5, 1, 509
Suppose 2*g**2/5 + 68*g/5 - 294 = 0. What is g?
-49, 15
Find q, given that q**5/2 - 11*q**4/2 + 39*q**3/2 - 41*q**2/2 - 16*q + 30 = 0.
-1, 2, 3, 5
Factor 2*p**3/5 - 52*p**2/5 + 218*p/5 - 168/5.
2*(p - 21)*(p - 4)*(p - 1)/5
Solve 5*q**5 + 165*q**4 - 5*q**3 - 26785*q**2 + 26620 = 0 for q.
-22, -1, 1, 11
Factor -2*d**2/11 + 2300*d/11 - 661250/11.
-2*(d - 575)**2/11
Solve -q**2 + 23*q/3 + 58/3 = 0 for q.
-2, 29/3
Factor 3*m**3/2 - 1548*m**2 + 532512*m - 61061376.
3*(m - 344)**3/2
Find b such that -5*b**5 + 20*b**4 + 1585*b**3 - 12120*b**2 - 13680*b = 0.
-19, -1, 0, 12
Factor 2*w**3/5 - 82*w**2/5 + 158*w/5 - 78/5.
2*(w - 39)*(w - 1)**2/5
Determine b so that -b**5/10 + 4*b**4/5 - b**3 - 14*b**2/5 + 11*b/10 + 2 = 0.
-1, 1, 4, 5
Solve a**3 + 9*a**2/4 + 3*a/2 + 1/4 = 0.
-1, -1/4
Factor -3*n**2/4 + 6*n - 21/4.
-3*(n - 7)*(n - 1)/4
Factor -3*r**3/2 + 57*r**2/2 + 3*r/2 - 57/2.
-3*(r - 19)*(r - 1)*(r + 1)/2
Let 4*j**3 + 864*j**2 - 1744*j = 0. What is j?
-218, 0, 2
Solve n**4/7 + 281*n**3 + 1291005*n**2/7 + 283585525*n/7 + 562022750/7 = 0 for n.
-655, -2
Factor -5*n**4 + 20*n**3.
-5*n**3*(n - 4)
Let 2*l**2/17 + 146*l/17 - 148/17 = 0. Calculate l.
-74, 1
Solve 36*j**4 + 16528*j**3/3 + 281112*j**2 + 4785840*j + 176868 = 0.
-51, -1/27
Suppose 196*m**3 - 34804*m**2 + 19840*m - 2832 = 0. Calculate m.
2/7, 177
Determine g so that -g**5 - 2146*g**4 - 1151328*g**3 + 2146*g**2 + 1151329*g = 0.
-1073, -1, 0, 1
Factor w**3/4 - 11*w**2/2 - 141*w/4 + 81/2.
(w - 27)*(w - 1)*(w + 6)/4
Factor -2*p**2/13 - 8200*p/13.
-2*p*(p + 41