r -3*f**3 + 249*f**2 - 5040*f - 5292.
-3*(f - 42)**2*(f + 1)
Let -4*x**3 + 304*x**2 - 5460*x - 12168 = 0. What is x?
-2, 39
Factor -3*x**4 + 81*x**3 - 288*x**2 - 3840*x.
-3*x*(x - 16)**2*(x + 5)
Factor -i**4/3 + 22*i**3 - 308*i**2/3 + 58*i + 183.
-(i - 61)*(i - 3)**2*(i + 1)/3
Solve -2*z**5 + 54*z**4 - 278*z**3 + 570*z**2 - 512*z + 168 = 0 for z.
1, 2, 21
Factor -2*o**3/5 - 2934*o**2/5 - 1434726*o/5 - 233860338/5.
-2*(o + 489)**3/5
Find x, given that 4*x**2 + 20*x = 0.
-5, 0
Factor 7*u**3 - 211*u**2 + 233*u - 29.
(u - 29)*(u - 1)*(7*u - 1)
Let k**5/2 + 3*k**4/2 - 7*k**3/2 - 7*k**2/2 + 9*k - 4 = 0. Calculate k.
-4, -2, 1
Let 3*k**5 + 63*k**4 - 342*k**3 - 7374*k**2 + 31059*k - 23409 = 0. Calculate k.
-17, 1, 3, 9
Determine o so that 3*o**2 + 21*o - 180 = 0.
-12, 5
Factor -2*v**3/3 - 172*v**2/3 + 178*v/3 + 116.
-2*(v - 2)*(v + 1)*(v + 87)/3
Factor -2*o**3/9 - 32*o**2/9 - 10*o + 36.
-2*(o - 2)*(o + 9)**2/9
Factor -2*v**5/9 - 46*v**4/9 + 208*v**3/9 - 24*v**2.
-2*v**2*(v - 2)**2*(v + 27)/9
Factor 2*d**3/3 + 64*d**2/3 - 22*d.
2*d*(d - 1)*(d + 33)/3
Solve 4*a**4 + 4*a**3 - 4*a**2 - 4*a = 0 for a.
-1, 0, 1
Determine s, given that -2*s**2/13 + 620*s/13 + 1878/13 = 0.
-3, 313
Factor 5*m**4 + 155*m**3 - 495*m**2 + 505*m - 170.
5*(m - 1)**3*(m + 34)
Solve -s**3/3 + 13*s**2/3 - 40*s/3 = 0.
0, 5, 8
Factor -l**3/5 + l**2 + 4*l/5 - 4.
-(l - 5)*(l - 2)*(l + 2)/5
Factor -2*x**2/9 - 22*x/9.
-2*x*(x + 11)/9
Factor -6*g**4 + 47*g**3 + 128*g**2 + 20*g.
-g*(g - 10)*(g + 2)*(6*g + 1)
What is y in -y**2 + 147*y + 148 = 0?
-1, 148
Find l such that 3*l**3 + 183*l**2 + 180*l = 0.
-60, -1, 0
Determine t so that -5*t**3 + 685*t**2 + 1430*t - 5560 = 0.
-4, 2, 139
Let -q**2 - 8*q + 9 = 0. What is q?
-9, 1
Suppose -2*v**2 + 10*v + 12 = 0. Calculate v.
-1, 6
Factor 4*d**2 - 120*d + 900.
4*(d - 15)**2
Determine f so that 126*f**4 + 363*f**3 + 201*f**2 - 48*f - 12 = 0.
-2, -1, -1/6, 2/7
Determine w, given that w**2/3 + 106*w/3 = 0.
-106, 0
Suppose 3*d**5/2 + 45*d**4 + 831*d**3/2 + 1170*d**2 + 1014*d = 0. Calculate d.
-13, -2, 0
Solve 6*b**3/5 + 2*b**2 = 0 for b.
-5/3, 0
Suppose -5*d**4 + 415*d**3 + 3560*d**2 + 7280*d = 0. Calculate d.
-4, 0, 91
Factor -3*r**2 - 342*r.
-3*r*(r + 114)
Factor -2*z**3/3 + 32*z**2/3 - 40*z/3 - 800/3.
-2*(z - 10)**2*(z + 4)/3
Let 3*o**2/4 - 81*o/8 + 39/8 = 0. What is o?
1/2, 13
What is d in -2*d**3 + 2*d**2 + 32*d + 40 = 0?
-2, 5
Factor -4*j**3 + 76*j**2 + 1368*j - 1440.
-4*(j - 30)*(j - 1)*(j + 12)
Factor -2*z**3/11 + 8628*z**2/11.
-2*z**2*(z - 4314)/11
Factor t**2/9 + 604*t/9 - 605/9.
(t - 1)*(t + 605)/9
Solve -5*j**4 - 45*j**3 - 145*j**2 - 195*j - 90 = 0 for j.
-3, -2, -1
What is f in -5*f**5 - 30*f**4 + 15*f**3 + 440*f**2 + 1020*f + 720 = 0?
-3, -2, 4
Find z such that -z**2/3 + 19*z + 60 = 0.
-3, 60
Factor p**3/2 + p**2 - 55*p/2 - 100.
(p - 8)*(p + 5)**2/2
Let -v**5 - 11*v**4 - 46*v**3 - 92*v**2 - 88*v - 32 = 0. Calculate v.
-4, -2, -1
Find n such that n**3/4 - 7*n/4 - 3/2 = 0.
-2, -1, 3
Factor -3*g**2 + 3*g + 90.
-3*(g - 6)*(g + 5)
Solve 4*w**3 - 1668*w**2 - 1672*w = 0.
-1, 0, 418
Solve 10*d**2 - 418*d = 0.
0, 209/5
Suppose 4*t**2 + 72*t - 352 = 0. Calculate t.
-22, 4
Factor 4*m**3/3 - 52*m**2/3 - 4*m/3 + 52/3.
4*(m - 13)*(m - 1)*(m + 1)/3
Factor -5*w**2/2 - 75*w/2 + 85.
-5*(w - 2)*(w + 17)/2
Find p such that 2*p**4 + 74*p**3 + 204*p**2 = 0.
-34, -3, 0
Solve 2*j**4/3 - 80*j**3/3 - 32*j**2 + 17920*j/3 + 100352/3 = 0 for j.
-8, 28
Find y, given that -y**2 + 389*y - 388 = 0.
1, 388
Factor -3*i**2 + 1596*i - 212268.
-3*(i - 266)**2
Factor 2*c**5 + 26*c**4 + 110*c**3 + 150*c**2.
2*c**2*(c + 3)*(c + 5)**2
Find w such that w**2/3 + 100*w/3 + 33 = 0.
-99, -1
Factor -2*j**2 - 311*j - 765.
-(j + 153)*(2*j + 5)
Factor 10*f**3 - 66*f**2 - 468*f - 176.
2*(f - 11)*(f + 4)*(5*f + 2)
Factor -4*w**2/9 + 1360*w/9.
-4*w*(w - 340)/9
Let -2*n**2/3 + 196*n - 14406 = 0. What is n?
147
Factor 4*a**3/3 + 10*a**2 + 16*a - 32/3.
2*(a + 4)**2*(2*a - 1)/3
Determine t, given that -280*t**4 - 115*t**3 - 10*t**2 = 0.
-2/7, -1/8, 0
Factor 2*t**3 + 1116*t**2 + 155682*t.
2*t*(t + 279)**2
Suppose c**3/9 - 22*c**2 + 1089*c = 0. What is c?
0, 99
What is u in 5*u**5 - 20*u**4 + 20*u**3 = 0?
0, 2
Find w such that 5*w**5 - 55*w**4 + 45*w**3 + 55*w**2 - 50*w = 0.
-1, 0, 1, 10
Find q such that 7*q**5/4 + 5*q**4/4 - 51*q**3/4 + 7*q**2/4 + 11*q - 3 = 0.
-3, -1, 2/7, 1, 2
Find v, given that -2*v**3/5 + 6*v**2 + 36*v/5 - 64/5 = 0.
-2, 1, 16
Factor 192*n**2 + 984*n + 5043/4.
3*(16*n + 41)**2/4
Suppose 28*q**3 + 12*q**2 - 40*q = 0. Calculate q.
-10/7, 0, 1
What is y in y**5/3 + 67*y**4/3 + 1450*y**3/3 + 9062*y**2/3 - 22747*y/3 + 12167/3 = 0?
-23, 1
Determine l, given that 4*l**3/7 + 16*l**2 + 340*l/7 - 6936/7 = 0.
-17, 6
Factor -2*u**4 + 2*u**3 + 2*u**2 - 2*u.
-2*u*(u - 1)**2*(u + 1)
Factor -z**2/2 - 11*z/2 - 15.
-(z + 5)*(z + 6)/2
Determine u, given that 18*u**2/7 + 4*u = 0.
-14/9, 0
Suppose 3*o**2 + 18*o = 0. What is o?
-6, 0
Factor -2*s**2 - 78*s + 1224.
-2*(s - 12)*(s + 51)
Determine t so that 2*t**5 - 252*t**4 + 9628*t**3 - 103208*t**2 + 178530*t - 84700 = 0.
1, 14, 55
Factor 2*a**4/21 + 2*a**3/7 + 4*a**2/21.
2*a**2*(a + 1)*(a + 2)/21
Factor -18*y**3 - 8*y**2 + 18*y + 8.
-2*(y - 1)*(y + 1)*(9*y + 4)
Find x, given that 4*x**2/17 - 870*x/17 - 436/17 = 0.
-1/2, 218
What is a in -3*a**4/4 + 9*a**3/4 - 3*a**2/2 = 0?
0, 1, 2
What is i in 2*i**4 + 114*i**3 + 298*i**2 - 1434*i - 1620 = 0?
-54, -5, -1, 3
Let 5*y**4 - 50*y**3 - 75*y**2 + 200*y + 220 = 0. Calculate y.
-2, -1, 2, 11
Factor 6*b**3 + 32*b**2 - 66*b + 28.
2*(b - 1)*(b + 7)*(3*b - 2)
Solve -2*z**2 + 78*z + 344 = 0 for z.
-4, 43
What is z in -2*z**2 - 6*z = 0?
-3, 0
Factor 3*n**4/2 + 9*n**3 - 12*n**2 - 9*n + 21/2.
3*(n - 1)**2*(n + 1)*(n + 7)/2
Let 3*u**5 - 3*u**4/4 - 3*u**3 + 3*u**2/4 = 0. Calculate u.
-1, 0, 1/4, 1
Factor 2*u**4/5 - 14*u**3/5 + 12*u**2/5.
2*u**2*(u - 6)*(u - 1)/5
Let b**5 - 6*b**4 - 10*b**3 + 20*b**2 + 9*b - 14 = 0. What is b?
-2, -1, 1, 7
What is w in -14*w**3 - 1116*w**2 + 3806*w - 996 = 0?
-83, 2/7, 3
Factor u**2 - 165*u + 164.
(u - 164)*(u - 1)
Solve -2*h**2/13 + 1166*h/13 - 1164/13 = 0 for h.
1, 582
Find u such that 2*u**2 + 504*u + 31752 = 0.
-126
Factor t**2/3 - 2*t + 8/3.
(t - 4)*(t - 2)/3
Determine t, given that 9*t**5/8 - 65*t**4/8 + 131*t**3/8 + t**2/8 - 21*t + 9/2 = 0.
-1, 2/9, 2, 3
Factor -2*l**4 - 156*l**3 - 3336*l**2 - 11396*l - 8214.
-2*(l + 1)*(l + 3)*(l + 37)**2
Find r, given that r**4 + 203*r**3 - r**2 - 203*r = 0.
-203, -1, 0, 1
Solve -t**3/2 - 3*t**2 + 8*t = 0 for t.
-8, 0, 2
Factor -r**3/6 - 17*r**2/6 - 8*r/3.
-r*(r + 1)*(r + 16)/6
Suppose 8*w**5/9 + 38*w**4/9 + 10*w**3/3 - 50*w**2/9 - 38*w/9 + 4/3 = 0. What is w?
-3, -2, -1, 1/4, 1
Factor k**5/7 + 3*k**4/7 - 6*k**3/7 - 26*k**2/7 - 27*k/7 - 9/7.
(k - 3)*(k + 1)**3*(k + 3)/7
Solve 81*w**5 + 1737*w**4 + 10120*w**3 + 8464*w**2 = 0.
-92/9, -1, 0
Factor 2*g**3 + 14*g**2 + 20*g.
2*g*(g + 2)*(g + 5)
What is l in -l**4/3 + 156*l**3 - 19164*l**2 + 213408*l - 623808 = 0?
6, 228
Determine p so that 3*p**2/2 + 6*p - 15/2 = 0.
-5, 1
Solve -4*t**3 + 20*t**2 - 32*t + 16 = 0.
1, 2
Factor m**3/3 + 264*m**2 + 69696*m + 6133248.
(m + 264)**3/3
Solve 16*d**3 + 508*d**2 - 3776*d + 912 = 0 for d.
-38, 1/4, 6
Find a, given that -21*a**4 - 22*a**3 + 743*a**2 - 896*a + 196 = 0.
-7, 2/7, 1, 14/3
Factor -c**3/2 - 13*c**2/2 - 47*c/2 - 35/2.
-(c + 1)*(c + 5)*(c + 7)/2
Let -2*k**3 - 6*k**2 + 48*k - 56 = 0. Calculate k.
-7, 2
Solve -4*q**4 - 28*q**3 - 16*q**2 + 48*q = 0.
-6, -2, 0, 1
Let -5*w**5/3 + 20*w**4/3 + 3905*w**3/3 - 20*w**2/3 - 1300*w = 0. Calculate w.
-26, -1, 0, 1, 30
Find j such that 6*j**4 + 129*j**3 + 651*j**2 + 1014*j + 360 = 0.
-15, -4, -2, -1/2
What is o in 2*o**3 - 6*o**2 - 20*o = 0?
-2, 0, 5
Find l, given that -5*l**3 - 5345*l**2 - 1425775*l + 1431125 = 0.
-535, 1
Let h**4 + 37*h**3 + 240*h**2 - 4352*h - 45056 = 0. What is h?
-16, 11
What is u in -16*u**3 - 608*u**2 + 620*u - 156 = 0?
-39, 1/2
Let 5*c**4 - 90*c**3 - 65*c**2 + 2550*c = 0. Calculate c.
-5, 0, 6, 17
Determine k so that -4*k**2 + 96*k - 176 = 0.
2, 22
Let -21*g**5/5 + 57*g**4/5 + 117*g**3 - 2673*g**2/5 + 2592*g/5 + 972/5 = 0. Calculate g.
-6, -2/7, 3
What is b in -59405*b**5 - 416925*b**4 - 482875*b**3 + 941725*b**2 + 17400*b + 80 = 0?
-4, -1/109, 1
Factor 3*h**3/5 + 42*h**2.
3*h**2*(h + 70)/5
