2.
-2*(f - 3)*(f + 32)
Solve -2*n**5 - 14178*n**4/7 + 4066*n**3/7 + 14178*n**2/7 - 4052*n/7 = 0 for n.
-1013, -1, 0, 2/7, 1
Factor -3*w**5 - 1110*w**4 - 95835*w**3 + 1258500*w**2 - 5179920*w + 7004352.
-3*(w - 4)**3*(w + 191)**2
Determine y so that -y**3/6 + y**2/2 + 29*y/3 + 20 = 0.
-4, -3, 10
Find j such that j**4/4 + 11*j**3/4 + 33*j**2/4 + 37*j/4 + 7/2 = 0.
-7, -2, -1
Determine s so that -5*s**3 + 6785*s**2 - 2305200*s + 2298420 = 0.
1, 678
Factor k**2 + 120*k + 3600.
(k + 60)**2
Suppose -3*a**2/7 - 918*a/7 - 70227/7 = 0. Calculate a.
-153
Factor -2*n**4 + 78*n**3 - 148*n**2.
-2*n**2*(n - 37)*(n - 2)
Factor a**2/4 + 2976*a + 8856576.
(a + 5952)**2/4
Find w, given that w**4/7 + 3*w**3 - 23*w**2/7 - 3*w + 22/7 = 0.
-22, -1, 1
Factor -l**5/2 + 7*l**4/2 + 51*l**3/2 + 101*l**2/2 + 41*l + 12.
-(l - 12)*(l + 1)**3*(l + 2)/2
Determine h, given that 3*h**2 + 456*h = 0.
-152, 0
What is g in -2*g**3/7 + 16*g**2/7 - 18*g/7 - 36/7 = 0?
-1, 3, 6
Factor l**3 + l**2 - 2*l.
l*(l - 1)*(l + 2)
Factor 2*l**4 + 304*l**3 + 15300*l**2 + 249696*l - 265302.
2*(l - 1)*(l + 51)**3
Factor 3*z**3 + 21*z**2 + 42*z + 24.
3*(z + 1)*(z + 2)*(z + 4)
Factor 2*q**3 + 976*q**2/9 - 86*q - 220/9.
2*(q - 1)*(q + 55)*(9*q + 2)/9
Factor -2*d**2 - 320*d + 322.
-2*(d - 1)*(d + 161)
What is u in 3*u**3 + 72*u**2 = 0?
-24, 0
Factor 4*g**2/3 - 28*g/3 - 1472/3.
4*(g - 23)*(g + 16)/3
Suppose 55*u**4 + 10*u**3 - 220*u**2 - 40*u = 0. Calculate u.
-2, -2/11, 0, 2
Factor -18*q**2/5 + 12*q/5 - 2/5.
-2*(3*q - 1)**2/5
Factor 2*j**4 - 60*j**3 + 386*j**2 + 960*j + 512.
2*(j - 16)**2*(j + 1)**2
Factor 2*v**3/5 - 11794*v**2/5 + 17381406*v/5 + 17393202/5.
2*(v - 2949)**2*(v + 1)/5
Factor -13*h**2/3 - 5*h + 28/3.
-(h - 1)*(13*h + 28)/3
Determine g so that 147*g**4/8 - 105*g**3/4 - 597*g**2/8 - 69*g/2 - 9/2 = 0.
-1, -2/7, 3
Factor 3*y**2/4 + 93*y/4 - 24.
3*(y - 1)*(y + 32)/4
Find a such that a**3 + 28*a**2 + 221*a + 338 = 0.
-13, -2
Factor 3*n**2/5 + 351*n/5 + 1026/5.
3*(n + 3)*(n + 114)/5
Suppose b**2/3 + 5042*b/3 + 6355441/3 = 0. What is b?
-2521
What is w in -2*w**2/7 - 114*w/7 + 116/7 = 0?
-58, 1
Factor z**2/7 + 38*z/7.
z*(z + 38)/7
Solve 2*y**3/11 - 464*y**2/11 + 26442*y/11 + 54756/11 = 0 for y.
-2, 117
Factor -2*n**3 - 10*n**2 + 112*n + 120.
-2*(n - 6)*(n + 1)*(n + 10)
What is t in t**3/9 + 626*t**2/9 + 99209*t/9 + 386884/9 = 0?
-311, -4
Factor 4*p**3 - 80*p**2 + 272*p + 896.
4*(p - 14)*(p - 8)*(p + 2)
Factor 50*s**3 + 95*s**2 + 40*s - 5.
5*(s + 1)**2*(10*s - 1)
Factor 2*z**3 + 48*z**2 - 104*z.
2*z*(z - 2)*(z + 26)
Factor 2*a**2/17 + 372*a/17 + 17298/17.
2*(a + 93)**2/17
Find u, given that -56*u**5/11 + 450*u**4/11 + 2452*u**3/11 + 2568*u**2/11 - 272*u/11 - 192/11 = 0.
-2, -1/4, 2/7, 12
Factor 5*n**2/6 - 185*n/2 + 275/3.
5*(n - 110)*(n - 1)/6
Suppose -10*p**5 + 58*p**4 - 110*p**3 + 86*p**2 - 24*p = 0. Calculate p.
0, 4/5, 1, 3
Solve -6*d**3 - 243*d**2/4 - 315*d/2 - 75/4 = 0.
-5, -1/8
Let -2*x**2/7 - 468*x/7 - 880 = 0. What is x?
-220, -14
What is f in 4*f**5 + 24*f**4 + 28*f**3 - 72*f**2 - 176*f - 96 = 0?
-3, -2, -1, 2
Suppose -c**4/2 + 75*c**3/2 - 897*c**2 + 5746*c + 26364 = 0. What is c?
-3, 26
Factor 21*h**2 + 66*h + 45.
3*(h + 1)*(7*h + 15)
Solve -4*r**3 + 64*r**2 + 220*r + 152 = 0.
-2, -1, 19
Factor 4*m**3 + 824*m**2 + 46948*m + 451632.
4*(m + 12)*(m + 97)**2
Factor -3*a**3 - 462*a**2 - 453*a + 918.
-3*(a - 1)*(a + 2)*(a + 153)
Factor -2*z**3 - 18*z**2 + 216.
-2*(z - 3)*(z + 6)**2
Determine z, given that -5*z**4 + 400*z**3 - 11520*z**2 + 138240*z - 552960 = 0.
8, 24
Determine s so that -4*s**2 - 8*s + 12 = 0.
-3, 1
Factor -g**4/6 - 7*g**3/3 - 13*g**2/2 + 9*g.
-g*(g - 1)*(g + 6)*(g + 9)/6
Solve -2*c**5 - 6*c**4 + 30*c**3 + 38*c**2 - 60*c = 0.
-5, -2, 0, 1, 3
Factor q**3/3 - 261*q**2 + 68121*q - 5926527.
(q - 261)**3/3
Find w such that 2*w**4 + 1522*w**3/7 + 40374*w**2/7 - 54010*w/7 + 12100/7 = 0.
-55, 2/7, 1
Factor -4*i**3/7 + 135*i**2/7 - 338*i/7 - 93/7.
-(i - 31)*(i - 3)*(4*i + 1)/7
Factor 3*q**2/4 - 57*q/4.
3*q*(q - 19)/4
Factor -3*j**5 - 9*j**4 + 3*j**3 + 33*j**2 + 36*j + 12.
-3*(j - 2)*(j + 1)**3*(j + 2)
Factor g**3 - 11*g**2 - 4*g + 44.
(g - 11)*(g - 2)*(g + 2)
Factor -2*x**3/7 - 100*x**2/7 + 206*x/7 - 104/7.
-2*(x - 1)**2*(x + 52)/7
Suppose 2*n**3 - 28*n**2 - 64*n = 0. Calculate n.
-2, 0, 16
Suppose -r**5/6 - 10*r**4 - 56*r**3 - 329*r**2/3 - 181*r/2 - 27 = 0. What is r?
-54, -3, -1
Find y such that y**2/2 - 163*y/2 - 249 = 0.
-3, 166
Factor -v**2/2 - 173*v - 29929/2.
-(v + 173)**2/2
Let 2*j**3 - 972*j**2 - 1952*j = 0. What is j?
-2, 0, 488
Factor 4*s**3 + 56*s**2 + 60*s - 792.
4*(s - 3)*(s + 6)*(s + 11)
Let 3*x**5 - 12*x**4 - 240*x**3 + 192*x**2 + 6144*x + 12288 = 0. What is x?
-4, 8
Factor -d**2/4 + 5*d/2 + 75/4.
-(d - 15)*(d + 5)/4
Solve -55*o**2/3 + 35*o/3 = 0.
0, 7/11
What is j in 2*j**5/5 + 4*j**4/5 - 2*j**3/5 - 4*j**2/5 = 0?
-2, -1, 0, 1
Factor -2*a**3/15 - 42*a**2/5 + 2*a/15 + 42/5.
-2*(a - 1)*(a + 1)*(a + 63)/15
Determine v so that -5*v**4 + 115*v**3 + 1320*v**2 + 3760*v + 2560 = 0.
-4, -1, 32
What is k in 2*k**2/7 + 20*k/7 + 18/7 = 0?
-9, -1
Factor 507*o**2/2 + 510*o + 6.
3*(o + 2)*(169*o + 2)/2
Let -3*w**5/2 - 9*w**4/4 + 51*w**3/4 - 39*w**2/4 - 9*w/4 + 3 = 0. Calculate w.
-4, -1/2, 1
Factor 7*y**4 - 186*y**3 + 1056*y**2 + 7018*y - 59895.
(y - 11)**3*(7*y + 45)
Let o**3/6 + 373*o**2/6 + 17108*o/3 - 17672 = 0. What is o?
-188, 3
Let -2*n**2 - 96*n - 270 = 0. Calculate n.
-45, -3
Solve 55*b**4 - 570*b**3 - 55*b**2 + 570*b = 0 for b.
-1, 0, 1, 114/11
Determine c so that c**3/4 - 3*c**2 - 715*c/4 + 363/2 = 0.
-22, 1, 33
Factor 4*v**3/3 + 16*v**2.
4*v**2*(v + 12)/3
Factor n**3/4 + 20*n**2 - n/4 - 20.
(n - 1)*(n + 1)*(n + 80)/4
Factor -j**2/4 - 21*j/4 - 27/2.
-(j + 3)*(j + 18)/4
Factor u**5/3 - 323*u**4/3 + 34666*u**3/3 - 408024*u**2 - 443232*u + 839808.
(u - 108)**3*(u - 1)*(u + 2)/3
Factor 2*j**5 + 54*j**4 + 150*j**3 - 4966*j**2 - 16224*j + 158184.
2*(j - 6)**2*(j + 13)**3
Let -8*f**5/3 - 56*f**4 + 182*f**3/3 + 128*f**2/3 - 30*f - 44/3 = 0. What is f?
-22, -1/2, 1
Factor -6*w**4 + 3*w**3 + 87*w**2 - 84*w.
-3*w*(w - 1)*(w + 4)*(2*w - 7)
Factor -74*r**2/9 - 4222*r/9 - 76/3.
-2*(r + 57)*(37*r + 2)/9
Find j such that -346921*j**2/6 + 1178*j - 6 = 0.
6/589
Factor 20*s**4 + 616*s**3 - 140*s**2 - 496*s.
4*s*(s - 1)*(s + 31)*(5*s + 4)
Let 2*b**3 - 274*b**2 - 562*b + 834 = 0. Calculate b.
-3, 1, 139
Determine n, given that -2*n**2 - 218*n + 1872 = 0.
-117, 8
Solve t**3/2 + 84*t**2 + 8541*t/2 + 58619 = 0.
-73, -22
Find h such that 2*h**3/11 - 3448*h**2/11 + 1482634*h/11 + 2979076/11 = 0.
-2, 863
Factor 4*b**2 + 1096*b + 75076.
4*(b + 137)**2
Determine h, given that h**3 - 27*h**2 + 216*h - 432 = 0.
3, 12
Factor 1065*p**2 - 6384*p - 36.
3*(p - 6)*(355*p + 2)
Suppose -3*d**2 - 153*d + 660 = 0. Calculate d.
-55, 4
Factor p**3/4 + 7*p**2/4 + 15*p/4 + 9/4.
(p + 1)*(p + 3)**2/4
Factor -3*z**5 + 78*z**4 - 576*z**3 + 864*z**2.
-3*z**2*(z - 12)**2*(z - 2)
Solve 2*d**3/9 + 16*d**2/9 + 14*d/9 = 0 for d.
-7, -1, 0
Factor -5*q**2 - 1740*q - 1735.
-5*(q + 1)*(q + 347)
Factor 4*w**4 - 12*w**3 - 12*w**2 + 28*w + 24.
4*(w - 3)*(w - 2)*(w + 1)**2
Suppose 2*l**5/7 + 32*l**4/7 + 12*l**3 + 80*l**2/7 + 26*l/7 = 0. What is l?
-13, -1, 0
Factor 2*x**4/15 - 4*x**3/15 - 8*x**2/15 + 16*x/15.
2*x*(x - 2)**2*(x + 2)/15
Factor -28*l**3 - 52*l**2 + 144*l + 144.
-4*(l - 2)*(l + 3)*(7*l + 6)
Solve 4*s**5 - 48*s**4 + 100*s**3 + 120*s**2 - 464*s + 288 = 0.
-2, 1, 2, 9
Factor -4*b**3/3 - b**2.
-b**2*(4*b + 3)/3
Determine v so that -4*v**5 - 96*v**4 - 828*v**3 - 3024*v**2 - 3888*v = 0.
-9, -6, -3, 0
Suppose -v**5/2 - 7*v**4/2 - 2*v**3 + 6*v**2 = 0. Calculate v.
-6, -2, 0, 1
Suppose -4*r**5 + 10*r**4/3 + 12*r**3 - 2*r**2 - 20*r/3 = 0. What is r?
-1, 0, 5/6, 2
Let 2*b**4 - 40*b**3 + 108*b**2 - 104*b + 34 = 0. What is b?
1, 17
Factor 80*j**3 - 324*j**2 + 336*j - 16.
4*(j - 2)**2*(20*j - 1)
Find z, given that -z**2/5 - 69*z/5 - 68/5 = 0.
-68, -1
Let -f**4/4 - f**3/2 - f**2/4 = 0. What is f?
-1, 0
Let 20*u**4/7 - 32*u**3/7 - 68*u**2/7 + 128*u/7 - 48/7 = 0. Calculate u.
-2, 3/5, 1, 2
Suppose -5*f**5/4 + 35*f**4/2 - 80*f**3 + 295*f**2/2 - 475*f/4 + 35 = 0. What is f?
1, 4, 7
What is j in j**3/3 + 20*j**2/3 + 39*j + 54 = 0?
-9, -2
Determine w so that -3*w**2/2 - 6*w + 135/2 = 0.
-9, 5
Factor 245*k**4 + 41510*k**3 + 1746345*k**2 