given that -3*j**2 + 207*j - 594 = 0.
3, 66
Suppose -36*l**3 + 8*l**2/7 + 36*l - 8/7 = 0. Calculate l.
-1, 2/63, 1
Factor 5*j**3 - 105*j**2 + 720*j - 1600.
5*(j - 8)**2*(j - 5)
Solve -h**2 + 71*h + 1092 = 0 for h.
-13, 84
Find o such that 2*o**3/5 - 74*o**2/5 + 96*o/5 + 12672/5 = 0.
-11, 24
Find d such that -4*d**3 - 72*d**2 + 2316*d - 2240 = 0.
-35, 1, 16
Factor -2*u**4 + 54*u**3 - 52*u**2.
-2*u**2*(u - 26)*(u - 1)
Factor 3*j**3/2 + 187*j**2/6 + 23*j - 20/3.
(j + 1)*(j + 20)*(9*j - 2)/6
Solve -2*m**2 - 916*m - 104882 = 0.
-229
Factor -2*l**4 + 24*l**3 - 74*l**2 + 84*l - 32.
-2*(l - 8)*(l - 2)*(l - 1)**2
Find d such that 2*d**5/7 - 2*d**4/7 - 4*d**3/7 + 4*d**2/7 + 2*d/7 - 2/7 = 0.
-1, 1
Factor -k**3/5 + 12*k**2/5 - 7*k.
-k*(k - 7)*(k - 5)/5
Find t such that -2*t**4 - 110*t**3 - 704*t**2 - 1560*t - 1152 = 0.
-48, -3, -2
Let 4*k**3/7 - 8*k**2/7 - 20*k/7 + 24/7 = 0. Calculate k.
-2, 1, 3
Factor 5*v**4 - 10*v**3 - 5*v**2 + 10*v.
5*v*(v - 2)*(v - 1)*(v + 1)
Find l, given that 1805*l**2 + 760*l + 80 = 0.
-4/19
What is m in 20*m**5 + 645*m**4 + 1900*m**3 + 435*m**2 = 0?
-29, -3, -1/4, 0
Factor -2*l**4 - 38*l**3 - 270*l**2 - 850*l - 1000.
-2*(l + 4)*(l + 5)**3
Factor k**5 + 12*k**4 - k**3 - 12*k**2.
k**2*(k - 1)*(k + 1)*(k + 12)
Factor z**2/5 - 216*z/5 + 848/5.
(z - 212)*(z - 4)/5
Solve 2*z**3 - 564*z**2/7 - 414*z/7 + 164/7 = 0.
-1, 2/7, 41
Let -s**3/3 - 13*s**2/3 - 10*s/3 + 8 = 0. What is s?
-12, -2, 1
Factor 4*p**2 - 284*p.
4*p*(p - 71)
Let -3*r**3 - 27*r**2 - 45*r + 75 = 0. What is r?
-5, 1
Let w**2/2 + 11*w/2 + 14 = 0. Calculate w.
-7, -4
Solve -25*f**4/11 + 445*f**3/11 - 344*f**2/11 + 68*f/11 = 0 for f.
0, 2/5, 17
Factor 2*a**4 + 864*a**3 + 93312*a**2.
2*a**2*(a + 216)**2
Find t such that -2*t**2/11 - 12*t/11 - 18/11 = 0.
-3
Suppose 2*y**3 + 20*y**2 + 34*y + 16 = 0. Calculate y.
-8, -1
Let 2*y**3 - 126*y**2 + 244*y = 0. What is y?
0, 2, 61
Factor -4*x**2 + 1616*x - 163216.
-4*(x - 202)**2
Solve -51*c**2 - 33*c + 18 = 0 for c.
-1, 6/17
Find z, given that z**3/6 + 11*z**2/3 = 0.
-22, 0
Determine h so that -3*h**4/2 + 54*h**3 + 1041*h**2/2 + 405*h - 3300 = 0.
-5, 2, 44
Factor l**3/4 - 11*l**2 + 279*l/4 + 81.
(l - 36)*(l - 9)*(l + 1)/4
Factor -5*i**4 + 50*i**3 - 120*i**2 - 50*i + 125.
-5*(i - 5)**2*(i - 1)*(i + 1)
Factor -4*r**2/5 + 24*r/5 + 28/5.
-4*(r - 7)*(r + 1)/5
Factor -2*u**3/17 + 40*u**2/17 + 86*u/17 + 44/17.
-2*(u - 22)*(u + 1)**2/17
Factor -s**5 + 6*s**4 + 16*s**3 + 2*s**2 - 15*s - 8.
-(s - 8)*(s - 1)*(s + 1)**3
Factor q**3/3 + 3*q**2 + 5*q - 25/3.
(q - 1)*(q + 5)**2/3
Solve 3*x**3 - 18*x**2 - 111*x - 90 = 0.
-3, -1, 10
Let -5*o**4 - 400*o**3 + 430*o**2 + 2040*o + 1215 = 0. What is o?
-81, -1, 3
Determine m, given that m**5/12 - 7*m**4/12 + 7*m**3/6 - 2*m**2/3 = 0.
0, 1, 2, 4
Solve 3*o**5/8 + 39*o**4 + 11007*o**3/8 + 68901*o**2/4 + 51153*o/2 - 44217 = 0.
-34, -3, 1
Factor 2*l**2 - 1296*l - 1298.
2*(l - 649)*(l + 1)
Determine t so that -4*t**2 + 184*t - 2116 = 0.
23
Find x, given that -x**2/2 - 870*x - 378450 = 0.
-870
Factor -3*q**5 + 27*q**4/2 - 24*q**3 + 21*q**2 - 9*q + 3/2.
-3*(q - 1)**4*(2*q - 1)/2
Find o, given that -22*o**3/7 + 12*o**2 - 72*o/7 - 16/7 = 0.
-2/11, 2
Determine y so that -2*y**3/5 + 116*y**2/5 + 374*y/5 - 488/5 = 0.
-4, 1, 61
Factor s**4 - 95*s**3 + 709*s**2 - 1137*s + 522.
(s - 87)*(s - 6)*(s - 1)**2
Suppose 3*t**2/7 + 3195*t/7 = 0. What is t?
-1065, 0
Factor m**4/5 - 13*m**3 + 64*m**2/5.
m**2*(m - 64)*(m - 1)/5
Let -r**3/6 + 5*r**2/3 + 43*r/6 - 26/3 = 0. Calculate r.
-4, 1, 13
Find u such that 2*u**3/21 + 8*u**2/3 - 2*u/21 - 8/3 = 0.
-28, -1, 1
Factor 4*b**3 + 96*b**2 + 116*b - 1320.
4*(b - 3)*(b + 5)*(b + 22)
Determine d so that d**2/9 - 11*d/9 + 10/9 = 0.
1, 10
Factor 4*f**2/3 - 40*f + 416/3.
4*(f - 26)*(f - 4)/3
Factor -5*g**2 + 25790*g - 33256205.
-5*(g - 2579)**2
Factor 5*k**2 + 8320*k + 3461120.
5*(k + 832)**2
What is p in -p**2 + 25*p/3 - 8/3 = 0?
1/3, 8
Factor -a**5 + 13*a**4 - 48*a**3 + 68*a**2 - 32*a.
-a*(a - 8)*(a - 2)**2*(a - 1)
Let -2*g**2 - 242*g - 1380 = 0. What is g?
-115, -6
Factor -2*t**4 + 73*t**3 - 828*t**2 + 2997*t.
-t*(t - 9)**2*(2*t - 37)
Let -h**2/5 + 58*h/5 + 248/5 = 0. What is h?
-4, 62
Find w such that 2*w**2/5 - 408*w/5 + 808/5 = 0.
2, 202
Factor -m**5/4 + 4*m**3 - 4*m**2 - 12*m + 16.
-(m - 2)**3*(m + 2)*(m + 4)/4
Solve 3*l**4 - 9*l**3 - 222*l**2 + 1440*l - 2400 = 0 for l.
-10, 4, 5
Factor -3*j**2 - 1086*j + 5505.
-3*(j - 5)*(j + 367)
Factor -2*m**2/9 - 8*m/3 + 56/9.
-2*(m - 2)*(m + 14)/9
Suppose -3*o**2/5 + o/5 + 2/5 = 0. What is o?
-2/3, 1
Suppose 4*v**2/5 - 104*v/5 + 192/5 = 0. Calculate v.
2, 24
Solve 14*o**4/11 - 536*o**3/11 + 670*o**2/11 - 148*o/11 = 0 for o.
0, 2/7, 1, 37
Factor -2*q**3/9 + 40*q**2/9 - 104*q/9 - 128/3.
-2*(q - 16)*(q - 6)*(q + 2)/9
Determine v so that -15*v**4 - 96*v**3 + 204*v**2 + 1536*v + 576 = 0.
-6, -4, -2/5, 4
Determine v, given that 2*v**2/7 + 456*v/7 + 454/7 = 0.
-227, -1
Factor d**3/3 - 68*d**2/3 - 211*d/3 - 142/3.
(d - 71)*(d + 1)*(d + 2)/3
Determine k so that 4*k**2 + 76*k = 0.
-19, 0
Factor h**4/3 - 2*h**3 + 11*h**2/3 - 2*h.
h*(h - 3)*(h - 2)*(h - 1)/3
Factor -2*j**2 - 40*j - 192.
-2*(j + 8)*(j + 12)
Factor -f**2 + 34*f - 33.
-(f - 33)*(f - 1)
What is a in -2*a**4/3 - 74*a**3/9 + 728*a**2/9 - 736*a/9 - 2432/9 = 0?
-19, -4/3, 4
What is n in 16*n**5/7 - 2*n**4/7 - 48*n**3/7 - 26*n**2/7 + 4*n/7 = 0?
-1, 0, 1/8, 2
Factor w**2/2 - 23*w/2.
w*(w - 23)/2
Factor 3*z**2 - 5*z + 2.
(z - 1)*(3*z - 2)
Suppose d**5/2 - 6*d**4 - 66*d**3 + 104*d**2 + 1824*d + 3456 = 0. What is d?
-4, 6, 18
Suppose 6*j**5/5 + 757*j**4/5 - 127*j**3 = 0. Calculate j.
-127, 0, 5/6
Let -5*h**5 + 8995*h**4 + 10*h**3 - 17990*h**2 - 5*h + 8995 = 0. Calculate h.
-1, 1, 1799
Factor 2553109524*t**3 - 17791704*t**2 + 41328*t - 32.
4*(861*t - 2)**3
Solve 8*n**4/11 + 382*n**3/11 + 1992*n**2/11 + 2502*n/11 - 756/11 = 0.
-42, -3, 1/4
Factor -195*z**3 - 502*z**2 + 247*z - 6.
-(z + 3)*(5*z - 2)*(39*z - 1)
Factor x**5 + 7*x**4 + 11*x**3 + 5*x**2.
x**2*(x + 1)**2*(x + 5)
Factor 18*w**3 - 22*w**2 + 4*w.
2*w*(w - 1)*(9*w - 2)
Factor 3*r**3 - 66*r**2 + 315*r - 432.
3*(r - 16)*(r - 3)**2
Find t such that -t**3 + 268*t**2/9 + 113*t/3 + 62/9 = 0.
-1, -2/9, 31
Factor -x**2 - 18*x - 45.
-(x + 3)*(x + 15)
Let 169*f**3 - 52*f**2 + 4*f = 0. What is f?
0, 2/13
Factor 3*y**2 + 1542*y + 198147.
3*(y + 257)**2
Solve -5*o**2 + 32770*o - 53693645 = 0 for o.
3277
Factor -3*r**2/5 - 3864*r/5 - 1244208/5.
-3*(r + 644)**2/5
Factor 3*y**2/8 + 93*y/2 + 2457/8.
3*(y + 7)*(y + 117)/8
Suppose -3*p**3 - 30*p**2 - 96*p - 96 = 0. Calculate p.
-4, -2
Factor -h**3/11 + 52*h**2/11 - 51*h/11.
-h*(h - 51)*(h - 1)/11
What is a in a**4/3 + 724*a**3/3 + 65522*a**2 + 23718964*a/3 + 1073283121/3 = 0?
-181
Factor -l**3/2 + 367*l**2/6 + 103*l + 124/3.
-(l - 124)*(l + 1)*(3*l + 2)/6
Factor -c**4 - 23*c**3 - 51*c**2 + 207*c + 540.
-(c - 3)*(c + 3)**2*(c + 20)
Determine j, given that -j**5/4 + 11*j**4/2 - 49*j**3/4 - 257*j**2 + 260*j + 2704 = 0.
-4, 4, 13
Let 2*t**3/11 - 20*t**2/11 + 42*t/11 = 0. What is t?
0, 3, 7
Factor 4*t**3/7 + 96*t**2/7 - 204*t/7 + 104/7.
4*(t - 1)**2*(t + 26)/7
Determine i, given that -5*i**2/2 - 101*i/2 - 10 = 0.
-20, -1/5
Suppose 2*u**4/5 - 14*u**3/5 - 18*u**2/5 + 14*u/5 + 16/5 = 0. Calculate u.
-1, 1, 8
Let 2*s**4/13 - 2*s**2/13 = 0. What is s?
-1, 0, 1
Solve -w**4 + 46*w**3 - 492*w**2 + 1448*w - 1280 = 0 for w.
2, 10, 32
Factor -c**3/5 - 12*c**2 - 228*c/5 - 224/5.
-(c + 2)**2*(c + 56)/5
Suppose 4*m**3 - 96*m**2 = 0. Calculate m.
0, 24
Let 1805*w**5 - 16055*w**4 + 45415*w**3 - 57985*w**2 + 34920*w - 8100 = 0. What is w?
18/19, 1, 5
Factor 2*i**4 + 4*i**3 - 4*i - 2.
2*(i - 1)*(i + 1)**3
Determine l, given that l**4 - 6*l**2 + 8*l - 3 = 0.
-3, 1
Factor -324*w**2/5 - 1566*w/5 + 88/5.
-2*(9*w + 44)*(18*w - 1)/5
Suppose 2*l**3 - 90*l**2 + 88*l = 0. Calculate l.
0, 1, 44
Determine i so that -i**5/3 - i**4/3 + 4*i**3/3 + 4*i**2/3 = 0.
-2, -1, 0, 2
Factor 2*j**2/3 - 52*j/3 - 112/3.
2*(j - 28)*(j + 2)/3
Let -4*i**3 + 2056*i**2 - 4100*i + 2048 = 0. Calculate i.
1, 512
Suppose 5*a**3/4 - 25*a**2 + 185*a/4 - 45/2 = 0. Calculate a.
1, 18
Let -5*f**4 - 300*f**3 - 4790*f**2 - 8700*f - 4205 = 0. Calculate f.
-29, -1
Suppose 4*d**5 - 140*d**4 - 316*d**3 + 716*d**2 + 888*d = 0. Calculate d.
-3, -1, 0, 2, 37
Determine n so that 4*n**5 - 8