9)*(3*f - 1)/2
Let 3*r**3 - 120*r**2 + 1092*r = 0. Calculate r.
0, 14, 26
Suppose 2*l**4/13 + 20*l**3/13 + 32*l**2/13 = 0. What is l?
-8, -2, 0
Suppose -3*p**4/5 + 21*p**3/5 - 9*p**2 + 39*p/5 - 12/5 = 0. Calculate p.
1, 4
Solve -3*s**4 - 27*s**3 - 18*s**2 + 168*s = 0 for s.
-7, -4, 0, 2
Solve 2*a**4/3 + 4*a**3 - 70*a**2/3 + 32*a - 40/3 = 0.
-10, 1, 2
Factor -4*z**3 - 32*z**2 - 84*z - 72.
-4*(z + 2)*(z + 3)**2
Solve -2*z**5 - 90*z**4 - 1132*z**3 - 2556*z**2 + 1134*z + 2646 = 0 for z.
-21, -3, -1, 1
Determine z so that 9*z**3 - 114*z**2 + 69*z + 36 = 0.
-1/3, 1, 12
Let -70*d**5 + 755*d**4 + 2030*d**3 - 115*d**2 - 1060*d + 260 = 0. Calculate d.
-2, -1, 2/7, 1/2, 13
Find d such that 3*d**4/4 - 9*d**3/2 - 9*d**2/4 + 15*d - 9 = 0.
-2, 1, 6
Factor 2*c**4/11 - 2*c**3 - 24*c**2/11.
2*c**2*(c - 12)*(c + 1)/11
Suppose -2*l**3/3 + 32*l - 256/3 = 0. What is l?
-8, 4
Determine n so that -3*n**2 + 243*n - 3780 = 0.
21, 60
Factor -r**2 + r + 2.
-(r - 2)*(r + 1)
What is q in 4*q**2/5 + 15081*q/5 + 754 = 0?
-3770, -1/4
Determine g so that g**2 + 364*g + 33124 = 0.
-182
Factor 2*y**3 - 2*y**2 - 12*y.
2*y*(y - 3)*(y + 2)
Factor 2*t**2 - 988*t + 122018.
2*(t - 247)**2
Factor -5*s**5 - 395*s**4 - 775*s**3 - 385*s**2.
-5*s**2*(s + 1)**2*(s + 77)
Let 65*s**4 + 125*s**3 + 60*s**2 = 0. Calculate s.
-1, -12/13, 0
Factor -18*h**5 + 30*h**4 + 23*h**3/2 + h**2.
-h**2*(h - 2)*(6*h + 1)**2/2
Determine o, given that -3*o**4 + 426*o**3 - 423*o**2 = 0.
0, 1, 141
Factor -3*b**3/2 - 243*b**2/2 - 1170*b - 1050.
-3*(b + 1)*(b + 10)*(b + 70)/2
Solve -5*f**2 + 430*f - 3120 = 0.
8, 78
Solve -t**3/6 + 5*t**2/3 + t/6 - 5/3 = 0.
-1, 1, 10
Suppose -3*b**4 - 36*b**3 - 108*b**2 = 0. What is b?
-6, 0
Factor -2*f**2 - 680*f - 678.
-2*(f + 1)*(f + 339)
Let 14*a**3/5 + 354*a**2/5 - 656*a/5 - 216/5 = 0. Calculate a.
-27, -2/7, 2
Find i such that -9*i**5 - 295*i**4 + 426*i**3 + 1756*i**2 - 408*i = 0.
-34, -2, 0, 2/9, 3
Factor -3*d**2/5 + 309*d/5 + 312/5.
-3*(d - 104)*(d + 1)/5
Factor -3*r**4 - 60*r**3 + 12*r**2 + 240*r.
-3*r*(r - 2)*(r + 2)*(r + 20)
Factor -2*p**3/9 + 56*p**2/9 + 62*p/9 - 116/9.
-2*(p - 29)*(p - 1)*(p + 2)/9
Factor -s**5 - 7*s**4 + 8*s**3.
-s**3*(s - 1)*(s + 8)
Suppose m**3/7 - 3601*m**2/7 + 7199*m/7 - 3599/7 = 0. Calculate m.
1, 3599
Factor -k**2/5 - 682*k/5 - 116281/5.
-(k + 341)**2/5
Suppose -4*t**5 - 4*t**4 + 260*t**3 + 900*t**2 = 0. Calculate t.
-5, 0, 9
Solve -3*n**4 - 36*n**3 + 126*n**2 - 132*n + 45 = 0 for n.
-15, 1
Factor 3*w**2 - 195*w.
3*w*(w - 65)
Factor -2*b**2/5 - 44*b/5 - 242/5.
-2*(b + 11)**2/5
Factor -x**3/3 + 17*x**2/3 - 8*x - 84.
-(x - 14)*(x - 6)*(x + 3)/3
Factor -m**2/6 - 2*m/3 - 2/3.
-(m + 2)**2/6
Factor y**3 - 46*y**2 + 493*y.
y*(y - 29)*(y - 17)
Factor x**5/2 - x**4 - 9*x**3 - 16*x**2 - 23*x/2 - 3.
(x - 6)*(x + 1)**4/2
What is p in 2*p**3 - 9*p**2 + 12*p - 4 = 0?
1/2, 2
Factor -3*g**2 - 192*g - 549.
-3*(g + 3)*(g + 61)
Solve b**2/8 - 25*b/4 + 49/8 = 0 for b.
1, 49
Factor -2*f**2 + 50*f - 132.
-2*(f - 22)*(f - 3)
Let -2*g**2/7 + 190*g/7 + 300 = 0. What is g?
-10, 105
Factor 2*p**4 + 40*p**3 - 6*p**2 - 116*p + 80.
2*(p - 1)**2*(p + 2)*(p + 20)
Suppose h**4 + 12*h**3 + 10*h**2 - 12*h - 11 = 0. Calculate h.
-11, -1, 1
What is k in -2*k**5/15 + 4*k**4/3 - 74*k**3/15 + 128*k**2/15 - 104*k/15 + 32/15 = 0?
1, 2, 4
Factor -3*p**3 - 15*p**2 + 51*p + 63.
-3*(p - 3)*(p + 1)*(p + 7)
Factor 845*s**2/4 + 4875*s + 28125.
5*(13*s + 150)**2/4
Let -2*v**2 - 180*v - 4050 = 0. Calculate v.
-45
Factor -2*y**3/9 + 62*y**2/9 - 116*y/9.
-2*y*(y - 29)*(y - 2)/9
Suppose -3*p**3 - 1071*p**2 - 127449*p - 5055477 = 0. What is p?
-119
Factor 2*l**4/15 + 38*l**3/5 - 24*l**2.
2*l**2*(l - 3)*(l + 60)/15
Determine q so that -5*q**2 - 2965*q = 0.
-593, 0
Factor 2*t**2 - 3*t.
t*(2*t - 3)
Solve -s**2/8 + 15*s/4 - 7 = 0.
2, 28
Factor -z**5 - 4*z**4 - 4*z**3 + 2*z**2 + 5*z + 2.
-(z - 1)*(z + 1)**3*(z + 2)
Factor -2*i**2/13 - 1706*i/13 - 1704/13.
-2*(i + 1)*(i + 852)/13
Factor l**5/5 + 12*l**4/5 + 32*l**3/5 - 14*l**2 - 45*l + 50.
(l - 2)*(l - 1)*(l + 5)**3/5
Solve -5*k**4 + 800*k**3 - 34310*k**2 + 184800*k - 266805 = 0 for k.
3, 77
Factor 4*y**2 - 88*y + 484.
4*(y - 11)**2
Factor 3*q**3/2 + 30*q**2 - 3*q/2 - 30.
3*(q - 1)*(q + 1)*(q + 20)/2
Let 5*t**4 + 40*t**3 + 105*t**2 + 90*t = 0. What is t?
-3, -2, 0
Solve 3*j**4 - 110*j**3 + 627*j**2 - 820*j + 300 = 0 for j.
2/3, 1, 5, 30
Determine g so that -10*g**5 - 45*g**4 - 5*g**3 + 65*g**2 + 15*g - 20 = 0.
-4, -1, 1/2, 1
Factor -2*p**3 + 6*p**2 + 122*p - 126.
-2*(p - 9)*(p - 1)*(p + 7)
Factor -22*r**2/7 - 586*r/7 + 216/7.
-2*(r + 27)*(11*r - 4)/7
Determine h, given that 2*h**3 - 261*h**2 + 129*h + 130 = 0.
-1/2, 1, 130
Factor -2*t**3 - 222*t**2.
-2*t**2*(t + 111)
Solve -n**4/5 + 144*n**3 - 1436*n**2/5 = 0.
0, 2, 718
Suppose -2*t**2/11 - 52*t/11 - 96/11 = 0. Calculate t.
-24, -2
Solve 5*m**2 - 25*m - 70 = 0 for m.
-2, 7
Factor c**3/10 + 2*c**2 - 104*c/5 + 224/5.
(c - 4)**2*(c + 28)/10
Factor f**3/4 + 373*f**2/4 + 93*f.
f*(f + 1)*(f + 372)/4
Factor -2*a**4 + 100*a**3 + 2*a**2 - 100*a.
-2*a*(a - 50)*(a - 1)*(a + 1)
Factor -r**4/5 + 7*r**3/5 - 14*r**2/5 + 8*r/5.
-r*(r - 4)*(r - 2)*(r - 1)/5
Suppose -129*z**4/5 - 388*z**3/5 - 261*z**2/5 - 2*z/5 = 0. What is z?
-2, -1, -1/129, 0
Let -2*m**3/9 + 64*m**2 - 382*m/3 + 572/9 = 0. Calculate m.
1, 286
Solve -2*a**4 + 108*a**3 - 200*a**2 - 432*a + 832 = 0 for a.
-2, 2, 52
Factor 2*c**3/11 + 4638*c**2/11 + 3585174*c/11 + 923779834/11.
2*(c + 773)**3/11
Solve -2*y**2 - 6*y + 80 = 0.
-8, 5
Let -80*x**4 + 160*x**3 - 95*x**2 + 15*x = 0. Calculate x.
0, 1/4, 3/4, 1
Determine s, given that -s**5 + 6*s**4 - 14*s**3 + 16*s**2 - 9*s + 2 = 0.
1, 2
Determine r so that -4*r**2 + 36*r + 1600 = 0.
-16, 25
Factor 2*v**5 + 302*v**4 + 14342*v**3 + 168010*v**2 - 2112368*v + 4764064.
2*(v - 4)**2*(v + 53)**3
Factor x**3/2 + 7*x**2/2 + 8*x + 6.
(x + 2)**2*(x + 3)/2
Factor -3*r**2 - 53*r - 34.
-(r + 17)*(3*r + 2)
Factor -4*h**2 - 36576*h - 83612736.
-4*(h + 4572)**2
What is x in 4*x**2 + 3916*x = 0?
-979, 0
Determine z, given that 5*z**5 - 40*z**4 - 35*z**3 + 430*z**2 + 780*z + 360 = 0.
-2, -1, 6
Factor 147*v**4 + 9*v**3.
3*v**3*(49*v + 3)
Factor -5*t**4 + 35*t**3 - 55*t**2 + 25*t.
-5*t*(t - 5)*(t - 1)**2
Factor -n**2/5 - 1051*n/5 - 2098/5.
-(n + 2)*(n + 1049)/5
Find l, given that 2*l**4/3 - 28*l**3/3 - 14*l**2/3 + 208*l/3 - 56 = 0.
-3, 1, 2, 14
What is s in 3*s**2 - 1182*s - 1185 = 0?
-1, 395
Factor 3*k**4 + 67*k**3 + 85*k**2 + 21*k.
k*(k + 1)*(k + 21)*(3*k + 1)
What is x in 2*x**5 + 154*x**4 - 322*x**3 - 458*x**2 + 1256*x - 632 = 0?
-79, -2, 1, 2
Factor -4*r**4/5 + 496*r**3/5 - 15864*r**2/5 + 30256*r/5 - 14884/5.
-4*(r - 61)**2*(r - 1)**2/5
Solve -487*t**2/7 + 4*t/7 = 0.
0, 4/487
Let -3*v**5/5 + 9*v**4/5 + 27*v**3/5 + 3*v**2 = 0. What is v?
-1, 0, 5
What is m in -764*m**2 - 20636*m - 216 = 0?
-27, -2/191
Determine y so that -56*y**4/3 - 866*y**3/3 + 476*y**2 - 574*y/3 + 68/3 = 0.
-17, 1/4, 2/7, 1
What is o in -3*o**4 - 9*o**3 - 3*o**2 + 9*o + 6 = 0?
-2, -1, 1
Suppose 2*l**2 - 44*l + 114 = 0. What is l?
3, 19
Find d, given that -15*d**5/8 + 33*d**4/8 + 153*d**3/8 - 129*d**2/8 - 129*d/4 + 27 = 0.
-2, -9/5, 1, 4
Suppose 3*r**2/5 - 1569*r/5 - 1572/5 = 0. What is r?
-1, 524
Determine z so that -3*z**2/4 - 6*z + 27/4 = 0.
-9, 1
Factor 2*h**3/9 + 10*h**2/3 - 2*h/9 - 10/3.
2*(h - 1)*(h + 1)*(h + 15)/9
Determine s so that s**2 + 46*s + 304 = 0.
-38, -8
Find n such that 3*n**2 + 228*n = 0.
-76, 0
Factor 2*k**3/17 + 20*k**2/17 - 48*k/17.
2*k*(k - 2)*(k + 12)/17
Find t, given that 4*t**5 - 2068*t**4 + 12300*t**3 - 18396*t**2 = 0.
0, 3, 511
Factor -3*p**3 + 3876*p**2 - 7743*p + 3870.
-3*(p - 1290)*(p - 1)**2
Factor -2*r**2/7 - 22*r/21 + 8/21.
-2*(r + 4)*(3*r - 1)/21
Suppose -2*g**3 + 214*g**2 - 5616*g - 5832 = 0. What is g?
-1, 54
Determine p, given that -5*p**2 - 5*p + 150 = 0.
-6, 5
Determine v so that -2*v**2 - 146*v - 420 = 0.
-70, -3
Factor -3*u**2 + 55*u - 52.
-(u - 1)*(3*u - 52)
Find h such that 3*h**3/5 - 3*h/5 = 0.
-1, 0, 1
Determine d, given that 4*d**2 - 384*d + 9216 = 0.
48
Find u, given that 12*u**5 - 44*u**4 - 264*u**3 + 1152*u**2 - 640*u = 0.
-5, 0, 2/3, 4
Factor -p**5/3 + p**4 + 5*p**3 + 17*p**2/3 + 2*p.
-p*(p - 6)*(p + 1)**3/3
Determine c so that c**4/3 - 11*c**3 + 235*c**2/3 + 191*c + 304/3 = 0.
-1, 16, 19
Suppose -2*n**4/5 -