40*y = 0.
-1, 0, 3, 20
Factor 2*v**2/5 - 1044*v/5 + 136242/5.
2*(v - 261)**2/5
Factor 2*g**3/5 + 434*g**2 + 587526*g/5 - 589698/5.
2*(g - 1)*(g + 543)**2/5
Factor 4*p**2/13 - 2*p/13.
2*p*(2*p - 1)/13
Factor 2*d**3/7 + 72*d**2/7 + 162*d/7 - 1188/7.
2*(d - 3)*(d + 6)*(d + 33)/7
Factor 4*a**2/5 + 152*a/5 + 1444/5.
4*(a + 19)**2/5
Find v such that 3*v**4 + 108*v**3 + 732*v**2 - 4320*v + 4800 = 0.
-20, 2
Let -3*h**3/8 + 57*h**2/8 + 3*h/2 - 57/2 = 0. Calculate h.
-2, 2, 19
Suppose -9*i**4/7 + 57*i**3/7 - 30*i**2/7 - 192*i/7 - 96/7 = 0. Calculate i.
-1, -2/3, 4
Determine k, given that -4*k**3 - 832*k**2 - 1652*k - 824 = 0.
-206, -1
Let 45*a**3/7 - 447*a**2/7 - 36*a/7 + 60/7 = 0. What is a?
-2/5, 1/3, 10
Suppose 5*r**5/4 + 15*r**4/2 + 45*r**3/4 - 5*r**2 - 15*r = 0. Calculate r.
-3, -2, 0, 1
Factor -2*s**4 - 283*s**3 - 140*s**2 + 141*s.
-s*(s + 1)*(s + 141)*(2*s - 1)
Factor -l**3/5 - 48*l**2/5 + 63*l - 486/5.
-(l - 3)**2*(l + 54)/5
Suppose -6*w**3 + 39*w**2/2 - 6*w - 18 = 0. What is w?
-3/4, 2
Let q**5/3 + 73*q**4/6 - 309*q**3/2 + 2795*q**2/6 - 1175*q/6 = 0. What is q?
-47, 0, 1/2, 5
Solve x**5/9 - 29*x**4/9 + 104*x**3/9 - 100*x**2/9 = 0.
0, 2, 25
Suppose z**5 - 2*z**4 - 6*z**3 + 4*z**2 + 13*z + 6 = 0. Calculate z.
-1, 2, 3
Determine z so that z**3/4 - 7*z**2 + 49*z = 0.
0, 14
Suppose 2*b**4/5 - 2*b**3/5 - 2*b**2 - 6*b/5 = 0. Calculate b.
-1, 0, 3
Factor -2*n**2 - 2*n + 220.
-2*(n - 10)*(n + 11)
Factor -x**5/4 + 2*x**4 - 9*x**3/2 + 27*x/4.
-x*(x - 3)**3*(x + 1)/4
Factor -2*i**4/7 - 12*i**3/7 - 26*i**2/7 - 24*i/7 - 8/7.
-2*(i + 1)**2*(i + 2)**2/7
Solve -m**2/6 - 155*m/6 + 1183/3 = 0 for m.
-169, 14
Suppose 5*n**3 - 10*n**2 - 205*n + 210 = 0. What is n?
-6, 1, 7
Determine v so that 5*v**4 - 250*v**3 + 2265*v**2 + 22120*v + 19600 = 0.
-5, -1, 28
Factor -76*v**4 + 908*v**3 + 48*v**2.
-4*v**2*(v - 12)*(19*v + 1)
Factor -5*v**2 - 520*v - 7040.
-5*(v + 16)*(v + 88)
Factor -267*s**2 - 1863*s + 42.
-3*(s + 7)*(89*s - 2)
Factor -k**2/3 + 5*k/3 - 4/3.
-(k - 4)*(k - 1)/3
Factor l**2/7 - 728*l + 927472.
(l - 2548)**2/7
What is l in l**3/4 - 3*l**2/4 + 3*l/4 - 1/4 = 0?
1
Factor -3*d**2 + 6*d + 45.
-3*(d - 5)*(d + 3)
Factor 32*p**4 - 468*p**3 - 180*p**2.
4*p**2*(p - 15)*(8*p + 3)
Factor -3*q**3 + 5751*q**2 - 3674889*q + 782751357.
-3*(q - 639)**3
Factor 2*n**3/11 - 2*n**2/11.
2*n**2*(n - 1)/11
Factor -k**2/2 + 7*k/2 + 22.
-(k - 11)*(k + 4)/2
Factor m**3/3 - 39*m**2 - 1615*m - 43639/3.
(m - 151)*(m + 17)**2/3
Factor -5*a**3 - 365*a**2 - 1060*a - 700.
-5*(a + 1)*(a + 2)*(a + 70)
Factor -3*y**3/5 + 39*y/5 - 36/5.
-3*(y - 3)*(y - 1)*(y + 4)/5
Let o**3 - 21*o**2 + 18*o + 40 = 0. Calculate o.
-1, 2, 20
Solve -7*r**4/6 - 557*r**3/2 + 485*r**2/6 + 557*r/2 - 239/3 = 0 for r.
-239, -1, 2/7, 1
Factor j**2/6 + 25*j/6 - 58/3.
(j - 4)*(j + 29)/6
Solve -k**5/10 - 33*k**4/10 + 3*k**3/10 + 101*k**2/10 + 33*k/5 = 0.
-33, -1, 0, 2
Factor -4*c**2 - 200*c - 384.
-4*(c + 2)*(c + 48)
Determine p so that -3*p**3 + 18*p**2 = 0.
0, 6
Factor -l**2/5 - 73*l/5 - 462/5.
-(l + 7)*(l + 66)/5
Factor -2*h**3 + 172*h**2 - 4514*h + 32856.
-2*(h - 37)**2*(h - 12)
Factor -33*y**3 - 270*y**2 + 1041*y + 198.
-3*(y - 3)*(y + 11)*(11*y + 2)
Factor 205*w**2 + 625*w + 30.
5*(w + 3)*(41*w + 2)
Find i such that -23*i**3/6 - 15*i**2 - 14*i + 4/3 = 0.
-2, 2/23
Factor -z**4/4 - 15*z**3/4 + 3*z**2/4 + 43*z/4 - 15/2.
-(z - 1)**2*(z + 2)*(z + 15)/4
Find m such that 2*m**5/3 + 100*m**4/3 + 1820*m**3/3 + 15680*m**2/3 + 65170*m/3 + 105644/3 = 0.
-22, -7
Determine o, given that 2*o**2 + 62*o + 260 = 0.
-26, -5
Suppose -2*r**3 - 102*r**2 - 1680*r - 8800 = 0. What is r?
-20, -11
Let -q**2 - 11*q - 30 = 0. Calculate q.
-6, -5
Factor 2*r**2/3 - 28*r/3 + 16.
2*(r - 12)*(r - 2)/3
What is c in 5*c**4 - 25*c**3 - 160*c**2 - 180*c = 0?
-2, 0, 9
Solve u**2 + 81*u - 166 = 0.
-83, 2
Find z such that -2*z**4 + 366*z**3 - 729*z**2/2 + 91*z = 0.
0, 1/2, 182
Factor f**2 + 55*f + 684.
(f + 19)*(f + 36)
Determine g, given that g**5 - 24*g**4 + 118*g**3 + 312*g**2 + 169*g = 0.
-1, 0, 13
Factor 3*d**3 + 477*d**2 + 25281*d + 446631.
3*(d + 53)**3
Let 5*s**2/4 - 15*s/2 = 0. Calculate s.
0, 6
Find l such that -55*l**2/3 - 725*l/3 - 130/3 = 0.
-13, -2/11
Factor -4*l**4 - 25*l**3 + 22*l**2 + 7*l.
-l*(l - 1)*(l + 7)*(4*l + 1)
Solve 15*d**4 - 565*d**3 + 5770*d**2 - 8460*d + 3240 = 0 for d.
2/3, 1, 18
Determine r, given that -r**2/2 - 5373*r - 28869129/2 = 0.
-5373
Suppose 2*n**2 + 26*n - 28 = 0. Calculate n.
-14, 1
Determine m so that m**5/5 - 12*m**4 - 387*m**3/5 - 118*m**2 - 264*m/5 = 0.
-4, -1, 0, 66
Solve 2*m**2/3 - 146*m + 436/3 = 0 for m.
1, 218
What is j in 46*j**4/15 + 304*j**3/3 + 3932*j**2/5 - 12784*j/15 - 578/15 = 0?
-17, -1/23, 1
Solve 2*c**4 + 396*c**3 - 2016*c**2 + 2836*c - 1218 = 0.
-203, 1, 3
Factor -d**2 - 1102*d.
-d*(d + 1102)
Factor v**2/2 + 934*v + 436178.
(v + 934)**2/2
Factor -2*j**3/21 - 10*j**2/21 + 1394*j/21 + 16762/21.
-2*(j - 29)*(j + 17)**2/21
Factor 4*n**3 - 32*n**2 + 52*n - 24.
4*(n - 6)*(n - 1)**2
Factor 49*p**3/9 + 2569*p**2/9 - 1480*p/9 + 212/9.
(p + 53)*(7*p - 2)**2/9
Factor -3*u**3 - 10260*u**2 - 11696400*u - 4444632000.
-3*(u + 1140)**3
Factor 4*k**5 + 88*k**4 - 192*k**3 + 8*k**2 + 188*k - 96.
4*(k - 1)**3*(k + 1)*(k + 24)
Factor -4*z**2 + 792*z + 796.
-4*(z - 199)*(z + 1)
Let 2*w**4/3 + 2*w**3/3 - 20*w**2/3 + 16*w/3 = 0. Calculate w.
-4, 0, 1, 2
Factor 3*o**3/5 - 21*o**2/5 - 822*o/5 + 168.
3*(o - 20)*(o - 1)*(o + 14)/5
What is m in m**2/3 + 418*m/3 + 43681/3 = 0?
-209
Solve 2*t**3/13 - 358*t**2/13 - 2*t/13 + 358/13 = 0.
-1, 1, 179
Factor 2*c**2/11 + 2*c + 48/11.
2*(c + 3)*(c + 8)/11
Find p such that 5*p**2 - 80*p - 85 = 0.
-1, 17
Find k, given that -2*k**4/9 - 13*k**3/9 - 5*k**2/9 + 2*k/3 = 0.
-6, -1, 0, 1/2
Factor d**5/2 + 2*d**4 - 48*d**3.
d**3*(d - 8)*(d + 12)/2
Suppose 50*s**5/3 + 10*s**4/3 - 832*s**3/3 - 152*s**2/3 + 512*s/3 - 128/3 = 0. What is s?
-4, -1, 2/5, 4
Factor -3*k**4 + 1101*k**3 - 95880*k**2 - 954288*k.
-3*k*(k - 188)**2*(k + 9)
Factor d**4/2 - 35*d**3/6 - 28*d**2/3 + 26*d/3.
d*(d - 13)*(d + 2)*(3*d - 2)/6
Factor -l**5 + 58*l**4 - 1192*l**3 + 9936*l**2 - 27216*l + 23328.
-(l - 18)**3*(l - 2)**2
Factor 3*u**3 - 48*u**2 + 240*u - 384.
3*(u - 8)*(u - 4)**2
Factor -5*h**3 - 150*h**2 - 265*h + 420.
-5*(h - 1)*(h + 3)*(h + 28)
Find v, given that -2*v**2 - 14624*v - 26732672 = 0.
-3656
What is x in 2*x**5/7 + 10*x**4/7 - 20*x**3/7 - 160*x**2/7 - 192*x/7 = 0?
-4, -3, -2, 0, 4
Factor -p**4/3 + 16*p**3/3 + 6*p**2 - 16*p/3 - 17/3.
-(p - 17)*(p - 1)*(p + 1)**2/3
Factor -5*y**4 + 6770*y**3 - 2298405*y**2 + 4576520*y - 2284880.
-5*(y - 676)**2*(y - 1)**2
Solve -4*z**4 + 32*z**3 - 96*z**2 + 128*z - 64 = 0 for z.
2
What is h in h**3/4 + 171*h**2/2 - 687*h/4 + 86 = 0?
-344, 1
Determine z so that -4*z**2/7 + 64*z/7 - 60/7 = 0.
1, 15
Let 2*m**5/7 + 18*m**4/7 + 8*m**3 + 72*m**2/7 + 32*m/7 = 0. Calculate m.
-4, -2, -1, 0
Factor 2*j**3/7 + 3168*j**2/7 + 1251354*j/7 - 2515396/7.
2*(j - 2)*(j + 793)**2/7
Determine i so that -i**4/4 + 7*i**3/2 + i**2/4 - 7*i/2 = 0.
-1, 0, 1, 14
Find b, given that -47*b**2/4 + 25*b/4 = 0.
0, 25/47
Factor 3*r**2 + 1758*r + 257547.
3*(r + 293)**2
Factor -3*i**2 + 12*i + 36.
-3*(i - 6)*(i + 2)
What is w in 3*w**3 + 12*w**2 + 9*w = 0?
-3, -1, 0
Let -3*g**3/5 - 957*g**2/5 - 14157*g + 179685 = 0. Calculate g.
-165, 11
Factor 3*q**3 + 609*q**2 - 1227*q + 615.
3*(q - 1)**2*(q + 205)
What is h in -3*h**3/4 - 187*h**2/4 - 211*h/2 - 30 = 0?
-60, -2, -1/3
Find h, given that -36*h**4 - 64*h**3 + 16*h**2 = 0.
-2, 0, 2/9
Determine i so that -7*i**3/3 + 23*i**2/3 - 25*i/3 + 3 = 0.
1, 9/7
Factor -2*r**5/5 - 674*r**4/5 - 57788*r**3/5 - 33868*r**2 - 168002*r/5 - 55778/5.
-2*(r + 1)**3*(r + 167)**2/5
Suppose -h**5/4 - 10*h**4 - 173*h**3/2 - 67*h**2 + 347*h/4 + 77 = 0. Calculate h.
-28, -11, -1, 1
Factor -2*d**2 - 120*d - 342.
-2*(d + 3)*(d + 57)
What is p in 5*p**5 + 25*p**4 - 245*p**3 - 865*p**2 + 2340*p - 1260 = 0?
-7, -6, 1, 6
Solve p**5/5 + p**4/5 - 53*p**3/5 - 273*p**2/5 - 504*p/5 - 324/5 = 0 for p.
-3, -2, 9
Factor l**5 - 63*l**4 + 816*l**3 + 5780*l**2.
l**2*(l - 34)**2*(l + 5)
What is r in -2*r**5/13 + 268*r**4/13 + 288*r**3/13 - 2452*r**2/13 + 2978*r/13 - 1080/13 = 0?
-4, 1, 135
What is n in n**3 + 16*n**2 + 64*n = 0?
-8, 0
Suppose -a**4/6 + 16*a**3/3 + 11*a**2/2 = 0. What is a?
-1, 0, 33
Determ