*2 - 54*q = 0.
-9, -2, 0, 1
Factor 3*f**3/5 + 27*f**2/5 + 42*f/5.
3*f*(f + 2)*(f + 7)/5
Solve -a**3/3 + a/3 = 0 for a.
-1, 0, 1
Factor 2*i**3 - 40*i**2/3 - 14*i/3.
2*i*(i - 7)*(3*i + 1)/3
Suppose -4*g**2 + 56*g + 2304 = 0. Calculate g.
-18, 32
Solve -w**5/7 - 5*w**4/7 + 18*w**3/7 + 26*w**2/7 - 17*w/7 - 3 = 0 for w.
-7, -1, 1, 3
Factor -2*g**2/13 + 14*g/13 - 12/13.
-2*(g - 6)*(g - 1)/13
Factor -l**3/5 - 69*l**2/5 + 297*l - 7047/5.
-(l - 9)**2*(l + 87)/5
Factor -c**2 - 574*c - 82369.
-(c + 287)**2
Factor 475*o**3/8 + 215*o**2/4 + 29*o/2 + 1.
(5*o + 2)**2*(19*o + 2)/8
Let -4*d**4/5 - 8*d**3 + 220*d**2 + 1200*d - 18000 = 0. What is d?
-15, 10
Factor -l**4 + 5*l**3 - 4*l**2.
-l**2*(l - 4)*(l - 1)
Solve -3*t**3 - 21*t**2 - 24*t + 48 = 0 for t.
-4, 1
Find w, given that -174*w**4 - 2608*w**3/3 - 1556*w**2/3 + 1568*w - 6 = 0.
-3, 1/261, 1
Solve -2*o**2/7 - 46*o/7 - 44/7 = 0.
-22, -1
Determine k, given that k**2/4 + 11*k/2 - 42 = 0.
-28, 6
What is w in w**3/7 - 4*w**2/7 - 5*w/7 = 0?
-1, 0, 5
Factor 4*n**3 - 640*n**2 + 23572*n + 165336.
4*(n - 83)**2*(n + 6)
Factor b**4/5 + 17*b**3/5 + 18*b**2 + 108*b/5 - 216/5.
(b - 1)*(b + 6)**3/5
Solve -2*l**2 - 60*l - 250 = 0.
-25, -5
Factor 2*z**3/5 + 52*z**2/5 + 42*z - 360.
2*(z - 4)*(z + 15)**2/5
Factor 4*y**2 + 96*y + 576.
4*(y + 12)**2
Factor -3*h**2 - 96*h + 99.
-3*(h - 1)*(h + 33)
Find p, given that -p**2/2 - 131*p/2 + 411 = 0.
-137, 6
Solve -2*k**3 + 22*k**2 + 12986*k + 358706 = 0.
-43, 97
Solve 2*k**2/9 - 2596*k/3 + 842402 = 0.
1947
Factor -3*b**5 + 15*b**4 - 27*b**3 + 21*b**2 - 6*b.
-3*b*(b - 2)*(b - 1)**3
Factor c**5 - 6*c**4 + 11*c**3 - 2*c**2 - 12*c + 8.
(c - 2)**3*(c - 1)*(c + 1)
Determine f so that -3*f**2 - 189*f - 366 = 0.
-61, -2
Factor 4*y**2/3 - 20*y/3 - 8.
4*(y - 6)*(y + 1)/3
What is y in -4*y**5 + 84*y**3 + 80*y**2 = 0?
-4, -1, 0, 5
Factor -2*o**2/5 - 42*o + 212/5.
-2*(o - 1)*(o + 106)/5
Suppose 5*z**5 - 15*z**4 - 105*z**3 + 35*z**2 + 300*z + 180 = 0. Calculate z.
-3, -1, 2, 6
Suppose -5*g**5 - 10*g**4 + 90*g**3 + 40*g**2 - 205*g - 150 = 0. What is g?
-5, -1, 2, 3
Suppose 3*l**3/7 + 1179*l**2/7 + 154449*l/7 + 6744273/7 = 0. What is l?
-131
Solve -15*w**3 - 5*w**2/4 + 25*w/2 + 15/4 = 0.
-3/4, -1/3, 1
Solve -95*a**4 - 93*a**3 + 2*a**2 = 0.
-1, 0, 2/95
Determine a, given that -2*a**2 + 18*a - 40 = 0.
4, 5
Factor 2*y**4/5 + 44*y**3/5 + 82*y**2/5 + 8*y.
2*y*(y + 1)**2*(y + 20)/5
Find l such that 4*l**2/7 + 1800*l/7 + 202500/7 = 0.
-225
Suppose -y**4/8 + 117*y**3/2 - 13689*y**2/2 = 0. Calculate y.
0, 234
Factor 2*r**4 - 136*r**3 + 2442*r**2 - 4356*r.
2*r*(r - 33)**2*(r - 2)
Factor -w**4/2 + 49*w**3/2 + 153*w**2/2 + 155*w/2 + 26.
-(w - 52)*(w + 1)**3/2
Let -2*y**2/9 - 4*y/9 + 10/3 = 0. Calculate y.
-5, 3
Solve -33*n**3 + 63*n**2 - 30*n = 0 for n.
0, 10/11, 1
What is y in -y**5 + 5*y**4 - 5*y**3 - 5*y**2 + 6*y = 0?
-1, 0, 1, 2, 3
Factor -34*o**2/3 + 28*o/3 + 2.
-2*(o - 1)*(17*o + 3)/3
Factor 3*o**2 + 282*o + 6627.
3*(o + 47)**2
Factor -4*i**3/5 - 144*i**2 + 1452*i/5 - 728/5.
-4*(i - 1)**2*(i + 182)/5
Determine j, given that -5*j**2/6 + 295*j/6 + 50 = 0.
-1, 60
Let -6*u**3 + 105*u**2 + 453*u - 252 = 0. Calculate u.
-4, 1/2, 21
Suppose 2*j**4 + 6*j**3 + 4*j**2 = 0. Calculate j.
-2, -1, 0
Solve -y**2 + 2060*y + 2061 = 0.
-1, 2061
Factor -t**4/3 - 77*t**3/3 + 407*t**2/3 - 85*t - 246.
-(t - 3)**2*(t + 1)*(t + 82)/3
Factor i**3/7 - 3*i**2/7 - 34*i + 480/7.
(i - 16)*(i - 2)*(i + 15)/7
Find l such that 51*l**2 + 297*l - 54 = 0.
-6, 3/17
Factor 5*n**4 + 115*n**3 + 215*n**2 + 105*n.
5*n*(n + 1)**2*(n + 21)
Factor 4*a**3 - 212*a**2 - 224*a + 432.
4*(a - 54)*(a - 1)*(a + 2)
Factor 2*y**3/9 - 22*y**2/9 + 70*y/9 - 50/9.
2*(y - 5)**2*(y - 1)/9
Factor 3*o**3/5 - 3*o**2.
3*o**2*(o - 5)/5
Find o, given that 3*o**5 - 6*o**3 + 3*o = 0.
-1, 0, 1
Factor 6*y**3 - 159*y**2 + 891*y + 486.
3*(y - 18)*(y - 9)*(2*y + 1)
What is k in 2*k**4/3 + 434*k**3/9 - 2632*k**2/9 + 520*k/3 = 0?
-78, 0, 2/3, 5
Factor -4*x**2 + 72*x - 224.
-4*(x - 14)*(x - 4)
Factor 4*m**3/7 + 80*m**2/7 - 556*m/7 - 200.
4*(m - 7)*(m + 2)*(m + 25)/7
Factor 2*n**4/3 - 14*n**3/3 + 4*n**2.
2*n**2*(n - 6)*(n - 1)/3
Suppose -4*c**4/5 + 48*c**3/5 - 36*c**2 + 40*c = 0. What is c?
0, 2, 5
Factor 8*d**4 + 388*d**3 + 564*d**2.
4*d**2*(d + 47)*(2*d + 3)
Determine x, given that x**2/10 - x/5 - 3/10 = 0.
-1, 3
Factor 5*f**4 + 990*f**3 + 39285*f**2 - 962280*f + 4723920.
5*(f - 9)**2*(f + 108)**2
Suppose 2*q**2/5 - 36*q/5 + 64/5 = 0. What is q?
2, 16
Determine v, given that 3*v**5 + 12*v**4 + 3*v**3 - 42*v**2 - 60*v - 24 = 0.
-2, -1, 2
Solve -2*m**4/15 - 112*m**3/15 + 2*m**2/15 + 112*m/15 = 0 for m.
-56, -1, 0, 1
Suppose 3*s**5 + 75*s**4 + 186*s**3 - 264*s**2 = 0. What is s?
-22, -4, 0, 1
What is w in w**4 + 82*w**3 - 428*w**2 + 606*w - 261 = 0?
-87, 1, 3
Factor 3*w**2/5 - 2682*w + 2997135.
3*(w - 2235)**2/5
Solve -5*d**3/2 + 65*d**2 - 325*d/2 - 230 = 0 for d.
-1, 4, 23
Factor 57*f**5 - 116*f**4 - 680*f**3 + 2304*f**2 - 1904*f + 64.
(f - 2)**3*(f + 4)*(57*f - 2)
Factor 3*n**3.
3*n**3
Solve 12*x**5/7 - 225*x**4 + 51081*x**3/7 + 39600*x**2/7 - 13068*x/7 = 0.
-1, 0, 1/4, 66
Factor 6*b**4/7 + 402*b**3/7 + 8850*b**2/7 + 63750*b/7.
6*b*(b + 17)*(b + 25)**2/7
Find w, given that -w**2/3 + w - 2/3 = 0.
1, 2
Let -4*f**2 - 96*f + 100 = 0. What is f?
-25, 1
Solve 15*y**5 + 4539*y**4 - 1818*y**3 = 0.
-303, 0, 2/5
Determine c so that 5*c**3 + 6235*c**2 - 6240*c = 0.
-1248, 0, 1
Factor -5*c**3/3 - 10*c**2/3 + 25*c + 60.
-5*(c - 4)*(c + 3)**2/3
Factor -w**3/9 + 2*w**2/3 - 11*w/9 + 2/3.
-(w - 3)*(w - 2)*(w - 1)/9
Factor -k**4/2 - 7*k**3/2 - 11*k**2/2 - 5*k/2.
-k*(k + 1)**2*(k + 5)/2
Suppose 8*r**4/3 - 134*r**3/9 + 56*r**2/3 - 22*r/3 + 8/9 = 0. What is r?
1/4, 1/3, 1, 4
Solve 4*t**4 - 4*t**3 - 24*t**2 = 0.
-2, 0, 3
Suppose p**4/8 - 25*p**3/8 + 99*p**2/8 + 1573*p/8 - 1331 = 0. Calculate p.
-8, 11
Factor -5*l**2 - 80*l - 75.
-5*(l + 1)*(l + 15)
Factor -n**4/4 - 2*n**3 - 5*n**2 - 4*n.
-n*(n + 2)**2*(n + 4)/4
Determine n, given that n**4/3 + 10*n**3/3 + 9*n**2 + 2*n/3 - 40/3 = 0.
-5, -4, -2, 1
Factor a**3/6 - a**2/6 - a/6 + 1/6.
(a - 1)**2*(a + 1)/6
Let l**3/3 - 11*l**2/3 + 7*l/3 + 49 = 0. What is l?
-3, 7
Factor 3*f**2/7 + 57*f + 8586/7.
3*(f + 27)*(f + 106)/7
Solve -25*i**5 + 565*i**4 - 1245*i**3 - 1165*i**2 + 1270*i + 600 = 0 for i.
-1, -2/5, 1, 3, 20
Determine z, given that 3*z**4/2 + 129*z**3/2 + 1167*z**2/2 - 129*z/2 - 585 = 0.
-30, -13, -1, 1
What is b in 2*b**4 + 36*b**3 + 210*b**2 + 400*b = 0?
-8, -5, 0
Factor -2*v**3/5 - 6*v**2/5 + 4*v.
-2*v*(v - 2)*(v + 5)/5
Factor 5*i**4/6 + 4*i**3/3 - 23*i**2/6 - 13*i/3.
i*(i - 2)*(i + 1)*(5*i + 13)/6
Solve 2*q**4/9 - 130*q**3/9 + 308*q**2 - 18392*q/9 - 21296/9 = 0 for q.
-1, 22
Determine o so that -8*o**3 + 804*o**2 - 26934*o + 300763 = 0.
67/2
Factor 2*f**2/7 + 44*f/7 + 6.
2*(f + 1)*(f + 21)/7
Suppose -3*i**3 + 300*i**2 - 297*i = 0. What is i?
0, 1, 99
Let 30*w**2 - 2765*w + 460 = 0. What is w?
1/6, 92
Factor -j**3 - 63*j**2 - 1323*j - 9261.
-(j + 21)**3
Find z such that -3*z**3/5 - 78*z**2/5 - 147*z/5 - 72/5 = 0.
-24, -1
Factor -n**5 + 10*n**4 - 33*n**3 + 44*n**2 - 20*n.
-n*(n - 5)*(n - 2)**2*(n - 1)
Factor -8*b**2 - 138*b.
-2*b*(4*b + 69)
Factor 4*s**3 + 12*s**2 - 16*s - 48.
4*(s - 2)*(s + 2)*(s + 3)
Factor 2*w**2 + 280*w + 9800.
2*(w + 70)**2
Find y, given that -3*y**4/2 + 13*y**3/3 - 4*y**2 + y + 1/6 = 0.
-1/9, 1
Solve -n**2/2 - 139*n/2 + 511 = 0.
-146, 7
Find n such that -2*n**2 + 12*n = 0.
0, 6
Find p, given that -p**2/2 - 2301*p - 5294601/2 = 0.
-2301
Factor -2*n**3 + 130*n**2 - 2046*n - 2178.
-2*(n - 33)**2*(n + 1)
Factor -22*h**3 + 98*h**2 + 60*h.
-2*h*(h - 5)*(11*h + 6)
Factor 5*v**3 + 90*v**2 - 195*v + 100.
5*(v - 1)**2*(v + 20)
Solve 28*b**5 - 1212*b**4 - 2204*b**3 + 1932*b**2 + 2176*b - 720 = 0.
-2, -1, 2/7, 1, 45
Factor 2*s**3/7 + 50*s**2/7 + 48*s + 288/7.
2*(s + 1)*(s + 12)**2/7
Suppose -2*j**4/11 + 6*j**3/11 + 16*j**2/11 - 24*j/11 - 32/11 = 0. What is j?
-2, -1, 2, 4
Solve -t**4/7 - t**3/7 + 9*t**2/7 - 11*t/7 + 4/7 = 0.
-4, 1
Determine s so that s**5/3 - 2*s**4 + 14*s**3/3 - 16*s**2/3 + 3*s - 2/3 = 0.
1, 2
Factor -5*b**4 - 15*b**3 - 10*b**2.
-5*b**2*(b + 1)*(b + 2)
Factor 21*c**4 + 303*c**3 + 1386*c**2 + 2052*c + 648.
3*(c + 2)*(c + 6)**2*(7*c + 3)
Factor y**5 - 4*y**4 + 5*y**3 - 2*y**2.
y**2*(y - 2)*(y - 1)**2
Factor 3*t**4 - 12