836.
-3*(b + 4)*(b + 153)
Suppose 2*m**3 - 1490*m**2 + 278256*m - 276768 = 0. Calculate m.
1, 372
Factor -2*m**2 + 14*m.
-2*m*(m - 7)
Suppose -5*g**5 - 15*g**4 + 185*g**3 - 165*g**2 - 360*g = 0. Calculate g.
-8, -1, 0, 3
Solve a**4/9 - 5*a**3 + 116*a**2/3 - 880*a/9 + 64 = 0 for a.
1, 4, 36
Solve 5*i**3 + 10*i**2 - 75*i - 180 = 0 for i.
-3, 4
Factor 2*m**3 - 272*m**2 + 9514*m - 17956.
2*(m - 67)**2*(m - 2)
Determine h, given that -h**3/4 - 9*h**2/2 + 63*h/4 = 0.
-21, 0, 3
Factor -2*a**2 - 76*a.
-2*a*(a + 38)
Factor 4*h**3 + 2668*h**2 + 443552*h - 446224.
4*(h - 1)*(h + 334)**2
Factor -2*l**3 - 172*l**2 - 2200*l + 70000.
-2*(l - 14)*(l + 50)**2
Factor 2*c**2 + 2*c - 4.
2*(c - 1)*(c + 2)
Factor 3*z**5/2 + 3*z**4/2 - 3*z**3 - 3*z**2 + 3*z/2 + 3/2.
3*(z - 1)**2*(z + 1)**3/2
Suppose -2*x**4/3 + 8*x**3/3 - 8*x**2/3 = 0. Calculate x.
0, 2
What is p in 3*p**2 + 456*p - 459 = 0?
-153, 1
What is r in 3*r**5 + 12*r**4/5 - 48*r**3/5 - 6*r**2/5 + 33*r/5 - 6/5 = 0?
-2, -1, 1/5, 1
Factor -4*v**2/5 + 112*v/5.
-4*v*(v - 28)/5
Let -x**3/7 - 534*x**2/7 + 153*x - 536/7 = 0. Calculate x.
-536, 1
Determine m, given that m**3/4 + 3*m**2/4 + m/2 = 0.
-2, -1, 0
Factor 2*s**2/13 + 4452*s/13 + 2477538/13.
2*(s + 1113)**2/13
Factor -4*w**3 - 31*w**2 + 44*w - 9.
-(w - 1)*(w + 9)*(4*w - 1)
Let -10*a**4/3 - 32*a**3/3 + 334*a**2/3 - 412*a/3 - 32 = 0. Calculate a.
-8, -1/5, 2, 3
What is a in 2*a**2/3 + 58*a/3 - 20 = 0?
-30, 1
Solve -15*r**4/2 - 51*r**3 + 132*r**2 = 0 for r.
-44/5, 0, 2
Solve 2*u**4/11 - 1832*u**3/11 + 558144*u**2/11 - 56181600*u/11 - 114610464/11 = 0.
-2, 306
Factor -5*i**3 - 195*i**2 - 2535*i - 10985.
-5*(i + 13)**3
What is k in 4*k**4/3 - 20*k**3 - 80*k**2/3 + 80*k + 256/3 = 0?
-2, -1, 2, 16
Determine k, given that k**3/2 - 11*k**2 - 23*k/2 = 0.
-1, 0, 23
Factor 2*d**3 - 156*d**2 + 154*d.
2*d*(d - 77)*(d - 1)
Factor 5*v**2 - 1140*v + 64980.
5*(v - 114)**2
Factor -39*g**2 + 15*g + 24.
-3*(g - 1)*(13*g + 8)
Factor 3*u**3 - 27*u**2 - 144*u - 156.
3*(u - 13)*(u + 2)**2
Solve 2*k**4 + 124*k**3 + 786*k**2 + 848*k - 1760 = 0 for k.
-55, -4, 1
Factor -w**3/4 + 11*w**2/4 - 35*w/4 + 25/4.
-(w - 5)**2*(w - 1)/4
Determine o so that -339*o**3/5 + 336*o**2/5 + 3*o/5 = 0.
-1/113, 0, 1
Suppose j**3 - 28*j**2 + 125*j + 154 = 0. Calculate j.
-1, 7, 22
Find d, given that 9*d**2 + 42*d/5 - 3/5 = 0.
-1, 1/15
Solve 4*k**2 - 136*k + 132 = 0 for k.
1, 33
What is r in r**3/6 + 215*r**2/6 = 0?
-215, 0
Suppose -2*j**4 - 200*j**3 - 7016*j**2 - 100800*j - 508032 = 0. What is j?
-36, -14
Factor -3*z**4 - 36*z**3 - 162*z**2 - 324*z - 243.
-3*(z + 3)**4
Find d, given that -3*d**2/4 + 303*d/2 - 30603/4 = 0.
101
Suppose 5*g**4 - 70*g**3 + 260*g**2 - 330*g + 135 = 0. Calculate g.
1, 3, 9
Factor -s**3 - 35*s**2 - 275*s - 625.
-(s + 5)**2*(s + 25)
Find j, given that j**4/2 - j**3 - 11*j**2/2 + 6*j + 18 = 0.
-2, 3
Find t such that 2*t**4/7 + 20*t**3/7 - 78*t**2/7 + 8*t/7 + 104/7 = 0.
-13, -1, 2
Factor n**4 + 3*n**3 - 33*n**2 + 53*n - 24.
(n - 3)*(n - 1)**2*(n + 8)
Factor 5*c**5/3 - 20*c**3/3 + 10*c**2/3 + 5*c - 10/3.
5*(c - 1)**3*(c + 1)*(c + 2)/3
Factor b**3/3 + 52*b**2 - 637*b/3 + 160.
(b - 3)*(b - 1)*(b + 160)/3
Solve -3*m**5 - 36*m**4 - 129*m**3 - 180*m**2 - 84*m = 0.
-7, -2, -1, 0
Let -i**5/7 + 13*i**4/7 + 65*i**3/7 + 55*i**2/7 - 64*i/7 - 68/7 = 0. Calculate i.
-2, -1, 1, 17
Factor -2*y**3 - 12*y**2 - 22*y - 12.
-2*(y + 1)*(y + 2)*(y + 3)
Factor 2*i**3/13 + 16*i**2/13 + 2*i/13 - 84/13.
2*(i - 2)*(i + 3)*(i + 7)/13
Solve -4*j**2 - 68*j - 264 = 0 for j.
-11, -6
Let -z**3/2 + z**2/2 + 2*z - 2 = 0. Calculate z.
-2, 1, 2
What is h in 5*h**5/3 - 15*h**4 + 40*h**3/3 + 460*h**2/3 - 160*h - 1600/3 = 0?
-2, 4, 5
Factor -j**2/4 - 119*j/2 - 14161/4.
-(j + 119)**2/4
Factor -2*v**3/19 - 946*v**2/19 - 1886*v/19 - 942/19.
-2*(v + 1)**2*(v + 471)/19
Factor -2*u**2 + 32*u.
-2*u*(u - 16)
Determine p so that -p**4 + 3*p**3 - 3*p**2 + p = 0.
0, 1
Suppose -2*l**4 + 502*l**3 - 1984*l**2 + 1976*l = 0. What is l?
0, 2, 247
What is q in 4*q**2 + 24*q + 36 = 0?
-3
Let -b**4/6 + 21*b**3 - 2164*b**2/3 + 3760*b - 4800 = 0. Calculate b.
2, 4, 60
Find h, given that -h**2/2 - 23*h/2 - 11 = 0.
-22, -1
Factor -3*j**2/7 - 3504*j/7 - 1023168/7.
-3*(j + 584)**2/7
What is h in -4*h**3/3 + 16*h**2 - 128*h/3 = 0?
0, 4, 8
Factor 2*l**2/7 - 54*l/7.
2*l*(l - 27)/7
Find l, given that -12*l**5/5 - 39*l**4/5 - 21*l**3/5 + 33*l**2/5 + 33*l/5 + 6/5 = 0.
-2, -1, -1/4, 1
Factor -2*x**2/5 + 246*x - 1228/5.
-2*(x - 614)*(x - 1)/5
Solve -c**4 + 23*c**3 + 355*c**2 + 637*c + 306 = 0.
-9, -1, 34
Factor 3*g**2 + 1398*g - 1401.
3*(g - 1)*(g + 467)
What is x in 3*x**4 + 9*x**3 + 6*x**2 = 0?
-2, -1, 0
Factor y**2 - 140*y + 4900.
(y - 70)**2
Factor 2*n**2/11 - 36*n/11 + 162/11.
2*(n - 9)**2/11
Factor -t**5 - 63*t**4 - 1520*t**3 - 17800*t**2 - 102000*t - 230000.
-(t + 10)**4*(t + 23)
Factor 2*m**3/7 - 58*m**2/7 - 60*m/7.
2*m*(m - 30)*(m + 1)/7
Determine b, given that -5*b**5 - 25*b**4 + 70*b**3 - 10*b**2 - 65*b + 35 = 0.
-7, -1, 1
Find s such that -2*s**2/3 - 200*s + 602/3 = 0.
-301, 1
Factor p**3 + 57*p**2/5 + 172*p/5 + 12.
(p + 5)*(p + 6)*(5*p + 2)/5
Find j, given that 3*j**2/4 + 1837*j - 1225 = 0.
-2450, 2/3
Factor -2*j**2/9 + 110*j/9 - 500/9.
-2*(j - 50)*(j - 5)/9
Find l such that l**4 - 6*l**3 - 25*l**2 + 54*l + 144 = 0.
-3, -2, 3, 8
Determine m, given that -3*m**4/5 + 108*m**3/5 - 732*m**2/5 - 864*m - 960 = 0.
-2, 20
Determine k, given that 75*k**5/2 + 30*k**4 - 63*k**3/2 - 30*k**2 - 6*k = 0.
-1, -2/5, 0, 1
What is l in 3*l**5 - 123*l**4 + 1758*l**3 - 9750*l**2 + 14703*l - 6591 = 0?
1, 13
Suppose 2*n**2/3 + 320*n/3 + 314 = 0. Calculate n.
-157, -3
Factor 3*a**3/2 - 60*a**2 + 1071*a/2 + 1323.
3*(a - 21)**2*(a + 2)/2
Let -4*o**2 + 6524*o = 0. What is o?
0, 1631
Let -4*n**3/5 + 48*n/5 + 64/5 = 0. What is n?
-2, 4
Let 9*c**5 + 92*c**4 + 137*c**3 - 190*c**2 - 48*c = 0. Calculate c.
-8, -3, -2/9, 0, 1
Determine m so that 16*m**5 + 84*m**4 + 68*m**3 - 68*m**2 - 84*m - 16 = 0.
-4, -1, -1/4, 1
Solve -3*a**3 - 18*a**2 + 12*a + 72 = 0.
-6, -2, 2
Suppose 2*s**5/3 + 8*s**4/3 - 8*s**3/3 - 44*s**2/3 + 2*s + 12 = 0. Calculate s.
-3, -1, 1, 2
Factor -n**3/3 - 67*n**2/3 - 496*n - 3648.
-(n + 19)*(n + 24)**2/3
Factor 4*o**4 - 75*o**3 - 19*o**2.
o**2*(o - 19)*(4*o + 1)
Factor 2*y**5 - 2*y**3.
2*y**3*(y - 1)*(y + 1)
Suppose -w**4 - 103*w**3/8 - 427*w**2/8 - 545*w/8 + 75/8 = 0. Calculate w.
-5, -3, 1/8
Determine o so that -2*o**2/3 + 366*o - 1096/3 = 0.
1, 548
Solve -2*i**4/7 - 26*i**3 + 184*i**2/7 = 0 for i.
-92, 0, 1
Factor 3*u**4/4 + 9*u**3/2 - 18*u**2 + 39*u/2 - 27/4.
3*(u - 1)**3*(u + 9)/4
Factor 38*f**2/13 + 44*f/13.
2*f*(19*f + 22)/13
Suppose 2*j**3 + 27100*j**2/7 + 13110592*j/7 - 3748096/7 = 0. Calculate j.
-968, 2/7
What is f in 5*f**3 - 35*f**2 - 30*f + 360 = 0?
-3, 4, 6
Factor y**2/6 - 236*y/3.
y*(y - 472)/6
Suppose -2*s**3/3 + 10*s**2/9 + 38*s/9 - 14/3 = 0. What is s?
-7/3, 1, 3
Factor -2*g**5/9 + 16*g**4/9 - 16*g**3/3 + 64*g**2/9 - 32*g/9.
-2*g*(g - 2)**4/9
Factor -3*a**4 + 9*a**3 + 54*a**2 + 12*a - 72.
-3*(a - 6)*(a - 1)*(a + 2)**2
Suppose 2*a**4/5 + 26*a**3/5 + 52*a**2/5 - 104*a/5 - 48 = 0. What is a?
-10, -3, -2, 2
Suppose -2*c**4 - 1476*c**3 + 1480*c**2 + 1476*c - 1478 = 0. What is c?
-739, -1, 1
What is r in 4*r**3/3 + 2032*r**2/3 + 260084*r/3 + 512072/3 = 0?
-253, -2
Determine u, given that 5*u**4/11 - 68*u**3/11 + 27*u**2/11 + 152*u/11 + 52/11 = 0.
-1, -2/5, 2, 13
Factor -3*s**5 - 93*s**4 - 324*s**3.
-3*s**3*(s + 4)*(s + 27)
What is j in -3*j**3 + 15*j**2 + 18*j = 0?
-1, 0, 6
Let 4*j**3 + 6048*j**2 + 3048192*j + 512096256 = 0. What is j?
-504
Factor 3*u**2/7 + 6*u + 39/7.
3*(u + 1)*(u + 13)/7
Determine x so that -4*x**5 + 44*x**4 + 36*x**3 - 412*x**2 + 128*x + 528 = 0.
-3, -1, 2, 11
Solve 5*z**3/7 - 314*z**2 + 241120*z/7 + 96800/7 = 0 for z.
-2/5, 220
Suppose 54*g**5 + 126*g**4 + 84*g**3 + 4*g**2 - 10*g - 2 = 0. What is g?
-1, -1/3, 1/3
Determine i, given that -5*i**3 + 105*i**2 - 360*i + 340 = 0.
2, 17
What is u in 100*u**5 + 1020*u**4 + 1036*u**3 - 444*u**2 - 416*u + 144 = 0?
-9, -1, 2/5
Let -2*f**5 - 60*f**4 - 448*f**3 + 1152*f**2 + 13824*f - 27648 = 0. Calculate f.
-12, 2, 4
Factor u**5/4 + 6*u**4 + 201*u**3/4 + 355*u**2/2 + 279*u + 162.
(u + 2)**3*(u + 9)**2/4
Factor -4*u**4 - 8*u**3 + 28*u**2 - 16*u.
-4*u*(u - 1)**2*(u + 4)
Factor f**3/5