126 = 0.
-189, 1
Factor -5*q**4 - 60*q**3 - 85*q**2 + 150*q.
-5*q*(q - 1)*(q + 3)*(q + 10)
Factor -3*y**4 + 57*y**3 + 123*y**2 + 63*y.
-3*y*(y - 21)*(y + 1)**2
Determine m so that m**4/10 + 21*m**3/10 - 69*m**2/10 + 71*m/10 - 12/5 = 0.
-24, 1
Factor w**4 - 23*w**3/4 + 7*w**2/2 + 5*w/4.
w*(w - 5)*(w - 1)*(4*w + 1)/4
Factor 4*z**5 + 20*z**4/3 + 8*z**3/3.
4*z**3*(z + 1)*(3*z + 2)/3
Factor s**2/4 - 781*s/4 - 391/2.
(s - 782)*(s + 1)/4
Factor -x**2/4 - 5*x/2 - 25/4.
-(x + 5)**2/4
Suppose -5*u**2 - 2385*u - 2380 = 0. What is u?
-476, -1
Factor -2*v**2/19 + 28*v/19 - 80/19.
-2*(v - 10)*(v - 4)/19
Suppose -2*t**2/7 + 2*t - 24/7 = 0. Calculate t.
3, 4
Factor 2*t**5 - 8*t**4 - 42*t**3.
2*t**3*(t - 7)*(t + 3)
Factor q**4/6 + 7*q**3/6 + 5*q**2/2 + 3*q/2.
q*(q + 1)*(q + 3)**2/6
Solve -2*x**5/5 - 2*x**4/5 + 2*x**3 + 2*x**2 - 8*x/5 - 8/5 = 0 for x.
-2, -1, 1, 2
Factor 4*i**3 + 380*i**2 + 8832*i - 9216.
4*(i - 1)*(i + 48)**2
What is n in n**4/6 - 8*n**3 + 96*n**2 = 0?
0, 24
Solve 3*n**3/7 - 4416*n**2/7 - 1263*n - 4422/7 = 0.
-1, 1474
Factor 3*i**3/5 - 201*i**2/5 - 411*i/5 - 207/5.
3*(i - 69)*(i + 1)**2/5
Factor -2*t**2/17 - 16*t/17 - 24/17.
-2*(t + 2)*(t + 6)/17
Factor 2*a**5/9 - 6*a**4 + 112*a**3/3 - 608*a**2/9.
2*a**2*(a - 19)*(a - 4)**2/9
Factor 20*n**2 + 11875*n - 2970.
5*(n + 594)*(4*n - 1)
Suppose y**3/5 - 2633*y**2/5 + 1734488*y/5 - 1731856/5 = 0. Calculate y.
1, 1316
Factor -4*k**3/7 - 1240*k**2/7 - 14076*k - 374544/7.
-4*(k + 4)*(k + 153)**2/7
Solve 5*o**5 - 15*o**4 + 20*o**2 = 0 for o.
-1, 0, 2
Factor -12*l**3/5 + 39*l**2/5 + 39*l/5 - 12/5.
-3*(l - 4)*(l + 1)*(4*l - 1)/5
Determine w, given that -3*w**5/2 + 81*w**4/2 - 825*w**3/2 + 3867*w**2/2 - 3960*w + 2400 = 0.
1, 5, 8
Factor -6*g**3 - 46*g**2 + 152*g + 120.
-2*(g - 3)*(g + 10)*(3*g + 2)
Let o**4/4 + 5*o**3/4 - 33*o**2/2 - 117*o - 162 = 0. Calculate o.
-6, -2, 9
Let y**4/6 - 5*y**3/3 + 14*y**2/3 - y - 15/2 = 0. What is y?
-1, 3, 5
Factor 2*n**3 + 4*n**2 - 128*n + 320.
2*(n - 4)**2*(n + 10)
Suppose 2*m**5/15 - 4*m**4/5 - 32*m**3/15 + 148*m**2/15 - 54*m/5 + 56/15 = 0. Calculate m.
-4, 1, 7
Suppose 49*t**2/10 + 14*t/5 + 2/5 = 0. Calculate t.
-2/7
Factor -3*l**4 - 45*l**3 + 291*l**2 - 207*l - 540.
-3*(l - 3)**2*(l + 1)*(l + 20)
Solve -o**3/5 + 11*o**2/5 - 2*o = 0.
0, 1, 10
Factor 3*r**2/2 + 42*r + 81/2.
3*(r + 1)*(r + 27)/2
Factor -4*b**2 - 712*b - 708.
-4*(b + 1)*(b + 177)
Factor 2*b**2/11 - 56*b/11 - 58/11.
2*(b - 29)*(b + 1)/11
Let -5*l**5/2 + 315*l**4/4 - 445*l**3/4 - 165*l**2/4 + 455*l/4 - 75/2 = 0. Calculate l.
-1, 1/2, 1, 30
Factor 3*d**3/8 + 21*d**2/8 + 3*d - 6.
3*(d - 1)*(d + 4)**2/8
Factor 3*x**4/8 + 1353*x**3/2 + 610203*x**2/2.
3*x**2*(x + 902)**2/8
Let -2*c**5/7 - 92*c**4/7 - 194*c**3/7 + 376*c**2 - 728*c + 2752/7 = 0. What is c?
-43, -8, 1, 2
Factor x**3/3 - 443*x**2 + 146073*x + 2224445/3.
(x - 667)**2*(x + 5)/3
Factor -4*m**4 - 40*m**3 + 144*m**2 - 152*m + 52.
-4*(m - 1)**3*(m + 13)
Factor -t**3/5 + t**2 + 14*t/5.
-t*(t - 7)*(t + 2)/5
Factor -k**2 - 22*k + 104.
-(k - 4)*(k + 26)
Suppose l**4/2 - 11*l**3 - 135*l**2/2 = 0. Calculate l.
-5, 0, 27
Factor j**3/2 + 2*j**2 - 5*j/2.
j*(j - 1)*(j + 5)/2
Factor -2*k**2/9 - 1448*k/9 + 1450/9.
-2*(k - 1)*(k + 725)/9
Determine a, given that -a**5/4 - a**4/4 + a**3/4 + a**2/4 = 0.
-1, 0, 1
Determine g, given that -g**3/4 + 3*g**2/2 - 5*g/4 = 0.
0, 1, 5
Find g, given that 3*g**3 - 114*g**2 + 693*g + 810 = 0.
-1, 9, 30
Find l such that 2*l**3/11 - 384*l**2/11 + 762*l/11 - 380/11 = 0.
1, 190
Find o such that -3*o**3 + 9*o**2 + 27*o - 81 = 0.
-3, 3
Suppose -x**3/3 + 8*x**2/3 - 3*x - 6 = 0. Calculate x.
-1, 3, 6
Let q**3/2 - 16*q**2 + 104*q - 192 = 0. Calculate q.
4, 24
Factor -4*v**4 - 6*v**3 + 16*v**2 - 6*v.
-2*v*(v - 1)*(v + 3)*(2*v - 1)
Solve -h**5/9 + 25*h**4/9 - 61*h**3/3 + 275*h**2/9 + 484*h/9 = 0.
-1, 0, 4, 11
Factor -r**2 - 22*r + 23.
-(r - 1)*(r + 23)
Find j such that -3*j**5/2 + 9*j**4/2 + 33*j**3/2 - 9*j**2/2 - 15*j = 0.
-2, -1, 0, 1, 5
What is h in 2*h**4 + 74*h**3 + 840*h**2 + 2816*h + 2048 = 0?
-16, -4, -1
Factor -9*w**2 - 66*w + 555.
-3*(w - 5)*(3*w + 37)
Let 2*o**2/5 - 332*o/5 = 0. What is o?
0, 166
Factor t**4 - 478*t**3 + 57597*t**2 - 113764*t + 56644.
(t - 238)**2*(t - 1)**2
Find r, given that -3*r**4/7 - 255*r**3/7 - 1182*r**2/7 + 1440*r/7 = 0.
-80, -6, 0, 1
Factor 3*n**4/2 - 38*n**3 - 110*n**2 - 56*n.
n*(n - 28)*(n + 2)*(3*n + 2)/2
Factor -2*a**4 - 58*a**3 + 62*a**2 + 58*a - 60.
-2*(a - 1)**2*(a + 1)*(a + 30)
Factor 44*l**2/3 - 278*l/9 + 28/9.
2*(l - 2)*(66*l - 7)/9
Let 2*g**2 + 10*g + 8 = 0. What is g?
-4, -1
Find p such that -4*p**3 - 36*p**2 - 32*p = 0.
-8, -1, 0
Let -3*x**4 - 237*x**3 + 1533*x**2 + 237*x - 1530 = 0. What is x?
-85, -1, 1, 6
Let 3*g**4 - 138*g**3 + 675*g**2 + 1776*g + 960 = 0. What is g?
-1, 8, 40
Find y, given that -y**5/6 + 7*y**3/6 - y**2/3 - 2*y + 4/3 = 0.
-2, 1, 2
Factor -3*r**4 - 45*r**3 + 378*r**2.
-3*r**2*(r - 6)*(r + 21)
Determine f, given that f**2/5 + 11*f/5 - 12/5 = 0.
-12, 1
Factor 4*y**2/9 - 14*y/9 - 40/3.
2*(y + 4)*(2*y - 15)/9
Factor 121945*a**4 + 269120*a**3 + 52200*a**2 + 3520*a + 80.
5*(a + 2)*(29*a + 2)**3
What is g in 6*g**3 + 117*g**2 - 60*g = 0?
-20, 0, 1/2
Factor -13*r**3/6 + 37*r**2/2 + 9*r.
-r*(r - 9)*(13*r + 6)/6
Let -2*c**5/5 - 24*c**4/5 - 14*c**3/5 + 96*c**2/5 + 88*c/5 = 0. What is c?
-11, -2, -1, 0, 2
Suppose -6*y**4/5 - 296*y**3 - 2452*y**2/5 - 488*y/5 + 98 = 0. Calculate y.
-245, -1, 1/3
Solve 15*q**5 - 110*q**4 + 215*q**3 - 60*q**2 = 0.
0, 1/3, 3, 4
Determine c so that -2*c**5/7 + 30*c**4/7 - 78*c**3/7 + 74*c**2/7 - 24*c/7 = 0.
0, 1, 12
Factor -v**5/5 - 52*v**4/5 - 1012*v**3/5 - 8736*v**2/5 - 28224*v/5.
-v*(v + 12)**2*(v + 14)**2/5
Suppose -3*a**4 + 45*a**3 + 3*a**2 - 45*a = 0. Calculate a.
-1, 0, 1, 15
Suppose -4*c**4/9 - 4*c**3/9 + 40*c**2/9 - 32*c/9 = 0. What is c?
-4, 0, 1, 2
Factor w**3/6 + 2*w**2/3 - w/2 - 3.
(w - 2)*(w + 3)**2/6
Suppose -5*p**2/4 - p/4 + 1 = 0. What is p?
-1, 4/5
Factor -200*d**2 + 440*d - 242.
-2*(10*d - 11)**2
Determine k so that 2*k**5/7 + 6*k**4 + 206*k**3/7 + 414*k**2/7 + 368*k/7 + 120/7 = 0.
-15, -2, -1
Factor 5*r**2 + 2880*r + 414720.
5*(r + 288)**2
Suppose -3*g**3/7 - 3*g**2/7 + 3*g/7 + 3/7 = 0. What is g?
-1, 1
What is c in 4*c**2 + 68*c + 208 = 0?
-13, -4
Let b**2/8 - 11*b/8 + 7/2 = 0. Calculate b.
4, 7
Factor m**3 + 22*m**2 - 47*m + 24.
(m - 1)**2*(m + 24)
Factor d**4/7 + 110*d**3/7 + 3417*d**2/7 + 20808*d/7.
d*(d + 8)*(d + 51)**2/7
What is t in 2*t**2/11 - 580*t/11 + 42050/11 = 0?
145
Factor 28*f**5 - 64*f**4 + 44*f**3 - 8*f**2.
4*f**2*(f - 1)**2*(7*f - 2)
Let -10*v**3 + 174*v**2 - 228*v + 64 = 0. What is v?
2/5, 1, 16
Factor -4*o**5 - 96*o**4 - 664*o**3 - 1056*o**2 - 484*o.
-4*o*(o + 1)**2*(o + 11)**2
Suppose z**2/4 + 543*z/2 + 294849/4 = 0. Calculate z.
-543
What is o in o**5 + 19*o**4 + 80*o**3 - 100*o**2 = 0?
-10, 0, 1
Determine d, given that 5*d**4 - 65*d**3 - 340*d**2 = 0.
-4, 0, 17
Factor 2*g**2 + 144*g - 296.
2*(g - 2)*(g + 74)
Determine v, given that v**4/8 - 2*v**3 + 63*v**2/8 - 23*v/2 + 11/2 = 0.
1, 2, 11
Factor 3*p**3/2 + 6*p**2 + 3*p/2 - 9.
3*(p - 1)*(p + 2)*(p + 3)/2
Solve 6*n**2 + 152*n - 104 = 0.
-26, 2/3
Factor u**3 - 38*u**2/5 - 16*u/5.
u*(u - 8)*(5*u + 2)/5
Factor -2*d**2/13 + 56*d/13 - 392/13.
-2*(d - 14)**2/13
Suppose 21*m**4 - 1590*m**3 + 9687*m**2 + 2898*m = 0. Calculate m.
-2/7, 0, 7, 69
Let -3*m**3 - 99*m**2 - 378*m + 1176 = 0. What is m?
-28, -7, 2
What is b in -15*b**3 + 65*b**2 + 160*b - 60 = 0?
-2, 1/3, 6
Find j, given that -3*j**2 - 33*j + 180 = 0.
-15, 4
Determine x so that -3*x**2 - 6*x + 45 = 0.
-5, 3
Find a such that a**3 - 10*a**2 + 32*a - 32 = 0.
2, 4
Suppose 2*j**4/3 + 128*j**3/3 + 1916*j**2/3 - 1408*j + 726 = 0. Calculate j.
-33, 1
Suppose -9*k**3 + 1950*k**2 - 3231*k + 1290 = 0. What is k?
2/3, 1, 215
Suppose 2*r**2 - 1940*r + 470450 = 0. Calculate r.
485
Factor 2*c**3/5 + 4*c**2/5 - 18*c/5 - 36/5.
2*(c - 3)*(c + 2)*(c + 3)/5
Factor -2*u**3/7 + 8*u**2 - 330*u/7 - 900/7.
-2*(u - 15)**2*(u + 2)/7
Let -2636*k**2 + 5284*k - 24 = 0. What is k?
3/659, 2
Factor 5*v**4 - 880*v**3 + 39585*v**2 - 75690*v.
5*v*(v - 87)**2*(v - 2)
Suppose 3*n**5/2 - 69*n**4/2 + 567*n**3/2 - 1851*n**2/2 + 555*n + 1800 = 0. What is n?
-1, 5, 6, 8
Solve -6*s**4 + 2938*s**3/3 - 634*s**2/3 - 2938*s/3 + 652/3 = 0 for s.
-1, 2/9, 1, 163
L