69696.
(y - 1)**2*(y + 264)**2
Suppose -2*f**5/13 - 302*f**4/13 - 4950*f**3/13 - 21546*f**2/13 = 0. Calculate f.
-133, -9, 0
Factor -k**3 - 307*k**2 - 306*k.
-k*(k + 1)*(k + 306)
Factor t**3/3 + 34*t**2/9 - 8*t/3.
t*(t + 12)*(3*t - 2)/9
Suppose y**3/4 + 79*y**2/2 + 6241*y/4 = 0. Calculate y.
-79, 0
Factor p**2/3 - 48*p + 141.
(p - 141)*(p - 3)/3
What is q in q**4 + 3*q**3 + 2*q**2 = 0?
-2, -1, 0
Determine y so that -1083*y**3 - 3933*y**2 - 792*y + 5808 = 0.
-44/19, 1
Determine k, given that k**2 + 197*k - 198 = 0.
-198, 1
Suppose -6*q**5/5 + 56*q**4/5 - 156*q**3/5 + 136*q**2/5 - 6*q = 0. Calculate q.
0, 1/3, 1, 3, 5
Suppose -2*t**5/13 - 18*t**4/13 - 12*t**3/13 + 32*t**2/13 = 0. Calculate t.
-8, -2, 0, 1
Suppose -2*g**4 - 168*g**3 - 3848*g**2 - 13440*g - 12800 = 0. Calculate g.
-40, -2
Factor -2*y**4 - 20*y**3 - 34*y**2 - 16*y.
-2*y*(y + 1)**2*(y + 8)
Factor -b**4 - 3*b**3 + 9*b**2 - 5*b.
-b*(b - 1)**2*(b + 5)
Factor -4*z**3 + 36*z.
-4*z*(z - 3)*(z + 3)
Suppose 4*r**4 - 140*r**3 - 300*r**2 + 140*r + 296 = 0. What is r?
-2, -1, 1, 37
Suppose p**3/4 - 13*p**2/4 + 14*p - 20 = 0. What is p?
4, 5
Suppose -2*u**4 + 40*u**3 + 612*u**2 + 2120*u + 1550 = 0. What is u?
-5, -1, 31
Factor 2*k**3/7 - 8*k/7.
2*k*(k - 2)*(k + 2)/7
What is w in -5*w**4 - 370*w**3 - 9165*w**2 - 85840*w - 269120 = 0?
-29, -8
Factor -b**3/5 + 821*b**2/5 - 1639*b/5 + 819/5.
-(b - 819)*(b - 1)**2/5
Factor -g**3/10 - 6*g**2/5 + 31*g/10 + 21/5.
-(g - 3)*(g + 1)*(g + 14)/10
Let -2*u**3 + 1546*u**2 - 3084*u = 0. What is u?
0, 2, 771
Suppose -2*f**4/3 - 4*f**3/3 + 10*f**2 = 0. What is f?
-5, 0, 3
Let 4*c**4 - 24*c**3 - 316*c**2 + 336*c = 0. What is c?
-7, 0, 1, 12
Suppose 2*z**5/3 + 5*z**4/6 - 9*z**3/2 - 11*z**2/6 + 23*z/6 + 1 = 0. Calculate z.
-3, -1, -1/4, 1, 2
Determine a, given that -2*a**5/5 + 46*a**4/5 - 284*a**3/5 + 196*a**2/5 + 286*a/5 - 242/5 = 0.
-1, 1, 11
Solve 88*a**3/5 - 18*a**2 + 2*a/5 = 0.
0, 1/44, 1
Find t such that -2*t**4/11 - 430*t**3/11 - 23744*t**2/11 - 67416*t/11 = 0.
-106, -3, 0
Factor -z**3/3 + 4*z**2 - 16*z + 64/3.
-(z - 4)**3/3
Factor 561*m**2 + 557*m - 4.
(m + 1)*(561*m - 4)
Find h, given that -5*h**3 + 1370*h**2 - 89600*h - 588000 = 0.
-6, 140
Factor 3*f**4/8 + 9*f**3 + 249*f**2/4 + 99*f + 363/8.
3*(f + 1)**2*(f + 11)**2/8
Find s, given that -3*s**5/5 + 9*s**4 + 9*s**3/5 - 141*s**2/5 + 18*s = 0.
-2, 0, 1, 15
Factor -t**4/3 - 268*t**3/3 + 269*t**2/3.
-t**2*(t - 1)*(t + 269)/3
Determine m so that -m**3/4 - m**2 + 9*m/4 + 9 = 0.
-4, -3, 3
Factor 45*q**4 + 145*q**3 + 120*q**2 + 20*q.
5*q*(q + 1)*(q + 2)*(9*q + 2)
Determine z, given that 5*z**3 + 35*z**2 + 20*z - 60 = 0.
-6, -2, 1
What is b in -b**5 - 87*b**4 - 2019*b**3 - 5545*b**2 - 5376*b - 1764 = 0?
-42, -1
Solve 3*x**2 + 4818*x + 1934427 = 0.
-803
Factor 10*r**3/3 - 316*r**2/3 + 160*r.
2*r*(r - 30)*(5*r - 8)/3
Factor -w**5/2 + 2*w**4 + 3*w**3/2 - 17*w**2 + 26*w - 12.
-(w - 2)**3*(w - 1)*(w + 3)/2
Factor -i**3/3 + 10*i**2/3 + i/3 - 10/3.
-(i - 10)*(i - 1)*(i + 1)/3
Find v such that -v**3/3 - 12*v**2 + 37*v/3 = 0.
-37, 0, 1
Factor -g**2 + 97*g + 98.
-(g - 98)*(g + 1)
Solve -3*m**2/4 - 945*m/4 - 1617 = 0.
-308, -7
Solve 4*w**2 - 80*w + 336 = 0.
6, 14
What is o in 14*o**4/19 + 100*o**3/19 + 248*o**2/19 + 252*o/19 + 90/19 = 0?
-3, -15/7, -1
Factor -2*v**3/19 + 24*v**2/19 + 2*v/19 - 24/19.
-2*(v - 12)*(v - 1)*(v + 1)/19
Factor 5*q**3 - 2*q**2 - 5*q + 2.
(q - 1)*(q + 1)*(5*q - 2)
Factor 3*v**4/2 - 53*v**3/2 + 223*v**2/2 + 117*v/2 - 81.
(v - 9)**2*(v + 1)*(3*v - 2)/2
Suppose 4*g**5 + 16*g**4 + 25*g**3 + 19*g**2 + 7*g + 1 = 0. What is g?
-1, -1/2
Determine d, given that 5*d**2 + 1950*d + 190125 = 0.
-195
Solve -3*p**2/8 - 15*p/4 + 9 = 0.
-12, 2
Suppose 48*q**4 + 92*q**3 - 56*q**2 - 92*q + 8 = 0. Calculate q.
-2, -1, 1/12, 1
Solve v**3 - 31*v**2 + 224*v + 256 = 0.
-1, 16
Solve -4*z**2 + 3688*z - 850084 = 0.
461
Find n such that n**3/2 + 7*n**2/2 - 40*n - 288 = 0.
-8, 9
Find z such that z**3 + 4*z**2 + 5*z + 2 = 0.
-2, -1
Find l such that 76*l**2 + 2668*l + 280 = 0.
-35, -2/19
Determine g, given that g**4/6 + 2*g**3/3 - 2*g**2/3 - 8*g/3 = 0.
-4, -2, 0, 2
Factor c**2 + 84*c + 1475.
(c + 25)*(c + 59)
Let 33*q**3 + 534*q**2 + 96*q = 0. Calculate q.
-16, -2/11, 0
Determine i, given that -i**4/3 - 7*i**3 - 33*i**2 + 121*i/3 = 0.
-11, 0, 1
Determine s, given that -2*s**2/9 + 802*s/3 + 2408/9 = 0.
-1, 1204
Let 9*a**3/7 - 138*a**2/7 - 96*a/7 = 0. Calculate a.
-2/3, 0, 16
Factor -10*o**2 - 85*o + 95.
-5*(o - 1)*(2*o + 19)
Factor -2*m**2/13 - 290*m/13 + 316.
-2*(m - 13)*(m + 158)/13
Factor 2*w**2/7 - 24*w/7 + 40/7.
2*(w - 10)*(w - 2)/7
Find f, given that -6*f**5 + 154*f**4 - 3110*f**3/3 + 1922*f**2/3 - 104*f = 0.
0, 1/3, 12, 13
Solve -i**5 + 4*i**4 + 3*i**3 - 10*i**2 - 8*i = 0 for i.
-1, 0, 2, 4
Solve 3*v**3/2 + 12*v**2 - 168*v + 384 = 0 for v.
-16, 4
Factor q**4/5 + 2908*q**3/5 + 3171174*q**2/5 + 1536962332*q/5 + 279342903841/5.
(q + 727)**4/5
Determine l so that -l**4 - 61*l**3 - 936*l**2 + 5184*l + 152064 = 0.
-24, 11
What is d in 3*d**5 + 4695*d**4 + 2452350*d**3 + 429152910*d**2 + 850967535*d + 424262283 = 0?
-521, -1
Factor 3*p**3/2 - 27*p**2 - 204*p - 288.
3*(p - 24)*(p + 2)*(p + 4)/2
Suppose -m**5/6 - m**4/3 + m**3/2 + 4*m**2/3 + 2*m/3 = 0. Calculate m.
-2, -1, 0, 2
Find u such that -3*u**3 - 129*u**2 + 150*u + 792 = 0.
-44, -2, 3
Suppose 6*l**3/7 + 626*l**2/7 + 204*l/7 - 416/7 = 0. What is l?
-104, -1, 2/3
Suppose 2*b**5 + 172*b**4 + 3522*b**3 - 7568*b**2 + 3872*b = 0. What is b?
-44, 0, 1
Factor i**2 + 928*i + 215296.
(i + 464)**2
Solve s**3/9 + 53*s**2/9 + 103*s/9 + 17/3 = 0.
-51, -1
Determine w so that -2*w**4/5 - 54*w**3/5 - 236*w**2/5 - 72*w - 176/5 = 0.
-22, -2, -1
Find m, given that 5*m**5 + 115*m**4 - 665*m**3 + 965*m**2 - 420*m = 0.
-28, 0, 1, 3
Factor 2*d**3/17 - 14*d**2/17 + 24*d/17.
2*d*(d - 4)*(d - 3)/17
Determine i so that -2*i**2/9 - 10*i/3 - 52/9 = 0.
-13, -2
Factor -5*i**2 - 370*i + 1155.
-5*(i - 3)*(i + 77)
Factor -f**3 + 265*f**2.
-f**2*(f - 265)
Factor -m**2 - 9*m - 20.
-(m + 4)*(m + 5)
Factor 2*a**2/11 - 364*a/11 + 16562/11.
2*(a - 91)**2/11
Solve 4*j**2 + 76*j - 80 = 0 for j.
-20, 1
Factor 15*w**5 - 50*w**4 + 50*w**3 - 25*w + 10.
5*(w - 1)**4*(3*w + 2)
Factor -2*x**2 + 20*x + 150.
-2*(x - 15)*(x + 5)
Find f, given that -4*f**5/9 - 4*f**4/9 + 260*f**3/9 - 172*f**2/9 - 3280*f/9 + 3200/9 = 0.
-8, -4, 1, 5
Factor -4*i**4 - 76*i**3 - 540*i**2 - 1700*i - 2000.
-4*(i + 4)*(i + 5)**3
What is l in 2*l**2 + 17*l/2 + 2 = 0?
-4, -1/4
Factor -i**2 + 68*i.
-i*(i - 68)
Factor 3*c**4 + 39*c**3 + 171*c**2 + 285*c + 150.
3*(c + 1)*(c + 2)*(c + 5)**2
Factor u**2 - 225*u - 226.
(u - 226)*(u + 1)
Suppose 2*z**4/11 - 16*z**3/11 - 26*z**2/11 + 184*z/11 + 192/11 = 0. Calculate z.
-3, -1, 4, 8
Factor 3*x**5 + 3*x**4 - 18*x**3 + 6*x**2 + 15*x - 9.
3*(x - 1)**3*(x + 1)*(x + 3)
Factor -4*m**2 + 80*m + 3696.
-4*(m - 42)*(m + 22)
Factor p**2/3 + 67*p/3 - 46.
(p - 2)*(p + 69)/3
Let 4*j**2 + 284*j = 0. What is j?
-71, 0
Factor -30250*v**2/3 + 1760*v/3 - 128/15.
-2*(275*v - 8)**2/15
Find a, given that 15*a**4 - 365*a**3 + 2610*a**2 - 2700*a - 19000 = 0.
-2, 19/3, 10
Factor c**3/2 - 661*c**2 - 2647*c/2 - 662.
(c - 1324)*(c + 1)**2/2
What is f in -2*f**2/5 - 82*f/5 - 16 = 0?
-40, -1
Factor c**2/6 - 44*c/3 + 968/3.
(c - 44)**2/6
Solve -u**2 + 2181*u + 4366 = 0.
-2, 2183
What is u in 3*u**4 + 75*u**3/4 + 63*u**2/2 + 75*u/4 + 3 = 0?
-4, -1, -1/4
Solve -4*a**5/7 + 76*a**4/7 - 264*a**3/7 + 376*a**2/7 - 244*a/7 + 60/7 = 0.
1, 15
Factor 7*b**2/11 - 5976*b/11 - 1708/11.
(b - 854)*(7*b + 2)/11
Factor -2*f**4/3 - 32*f**3/3 - 28*f**2 - 80*f/3 - 26/3.
-2*(f + 1)**3*(f + 13)/3
Let 2*m**5/3 - 40*m**4/3 - 98*m**3 - 460*m**2/3 - 208*m/3 = 0. Calculate m.
-4, -1, 0, 26
Factor t**2/4 + 281*t/4 - 283/2.
(t - 2)*(t + 283)/4
Solve -n**3 - 2*n**2 + 3*n = 0 for n.
-3, 0, 1
Let -2*m**3 - 41*m**2/4 - 17*m - 9 = 0. Calculate m.
-2, -9/8
Determine c, given that 4*c**4 + 24*c**3 - 60*c**2 + 32*c = 0.
-8, 0, 1
Solve -3*y**4/5 - 6*y**3 + 69*y**2/5 - 36*y/5 = 0 for y.
-12, 0, 1
Determine w so that -w**2/4 + 799*w/4 - 597 = 0.
3, 796
Factor -n**3/2 + 49*n**2/2 + n/2 - 49/2.
-(n - 49)*(n - 1)*(n + 1)/2
Factor -2*s**5/5 - 2*s**4/5 + 18*s**3/5 - 22*s**2/5 + 8*s/5.
-2*s*(s - 1)**3*(s + 4)/5
Factor -4*h**4 - 196*h**3.
-4*h**3*(h + 49)
Suppose -z**2 + 14*z + 15 = 0.