.
-5, 1, 14
Factor 3*d**3/7 - 15*d**2 - 222*d/7.
3*d*(d - 37)*(d + 2)/7
Determine g, given that -3*g**3 - 15*g**2 - 21*g - 9 = 0.
-3, -1
Find v such that v**4 + 3*v**3 + 2*v**2 = 0.
-2, -1, 0
Factor 5*i**3 + 120*i**2 + 765*i + 1350.
5*(i + 3)*(i + 6)*(i + 15)
Let -3*s**3 - 12*s**2 + 3*s + 12 = 0. Calculate s.
-4, -1, 1
Determine k so that 2*k**4/3 - 26*k**3/3 + 34*k**2 - 42*k = 0.
0, 3, 7
Determine i, given that i**2/4 + 3*i/4 + 1/2 = 0.
-2, -1
Factor -2*u**4 + 16*u**3 + 30*u**2 - 108*u.
-2*u*(u - 9)*(u - 2)*(u + 3)
Factor i**2 + 28*i.
i*(i + 28)
Factor 4*q**3 - 32*q**2 + 76*q - 48.
4*(q - 4)*(q - 3)*(q - 1)
Find h such that h**5 - 7*h**4 - 16*h**3 + 88*h**2 + 240*h + 144 = 0.
-2, -1, 6
Factor -a**5 + 11*a**4 + 93*a**3 + 149*a**2 + 68*a.
-a*(a - 17)*(a + 1)**2*(a + 4)
Solve 2*q**3 - 426*q**2 + 22032*q + 69984 = 0.
-3, 108
Let 28*i**5 - 148*i**4 + 180*i**3 + 100*i**2 - 208*i + 48 = 0. What is i?
-1, 2/7, 1, 2, 3
What is c in 2*c**3/15 + 4*c**2/5 + 2*c/5 - 4/3 = 0?
-5, -2, 1
Factor -2*h**3/3 + 4*h**2/3.
-2*h**2*(h - 2)/3
Let 4*f**5/3 - 76*f**4/3 + 104*f**3/3 + 2656*f**2/3 + 640*f - 1536 = 0. Calculate f.
-4, -2, 1, 12
Factor f**2 + 269*f.
f*(f + 269)
Find y, given that -3*y**2 - 852*y - 60492 = 0.
-142
Factor -4*j**5/7 + 96*j**4/7 - 480*j**3/7 + 128*j**2 - 576*j/7.
-4*j*(j - 18)*(j - 2)**3/7
Find l such that 4*l**4 - 5928*l**3 + 2208148*l**2 - 8761584*l + 8737936 = 0.
2, 739
Factor x**4/5 - 7*x**3 + 249*x**2/5 + 607*x/5 + 322/5.
(x - 23)*(x - 14)*(x + 1)**2/5
Factor -w**4/8 - 7*w**3/4 + 51*w**2/8 - w/2 - 17/2.
-(w - 2)**2*(w + 1)*(w + 17)/8
Determine i so that 84*i**5 + 52*i**4 - 552*i**3 + 176*i**2 + 96*i = 0.
-3, -2/7, 0, 2/3, 2
Factor -j**3 - 80*j**2.
-j**2*(j + 80)
Factor 2*j**3/3 + 122*j**2/3.
2*j**2*(j + 61)/3
Factor 3*j**2/7 - 96*j/7 - 684/7.
3*(j - 38)*(j + 6)/7
Solve 2*q**2 + 54*q + 52 = 0.
-26, -1
Factor -3*c**2/2 - 12*c + 27/2.
-3*(c - 1)*(c + 9)/2
Suppose 2*d**2/11 - 14*d/11 - 16/11 = 0. What is d?
-1, 8
Solve -p**3/8 + 11*p**2/4 + 233*p/8 + 105/4 = 0 for p.
-7, -1, 30
Suppose -28*u**2 + 58*u - 4 = 0. Calculate u.
1/14, 2
Determine z so that 24*z**4/5 - 136*z**3/5 + 222*z**2/5 - 72*z/5 - 54/5 = 0.
-1/3, 3/2, 3
Factor -5*c**5 - 240*c**4 - 235*c**3.
-5*c**3*(c + 1)*(c + 47)
Suppose -4*r**5 - 160*r**4 + 8*r**3 + 320*r**2 - 4*r - 160 = 0. What is r?
-40, -1, 1
Factor -49353408*x**4 + 12654720*x**3 - 1216800*x**2 + 52000*x - 2500/3.
-4*(78*x - 5)**4/3
Let 2*o**3/7 - 2046*o**2/7 + 697686*o/7 - 79303642/7 = 0. What is o?
341
Factor -3*n**2 - 189*n - 186.
-3*(n + 1)*(n + 62)
Let -8*b**5 + 6*b**4 + 130*b**3 + 192*b**2 + 40*b = 0. Calculate b.
-2, -1/4, 0, 5
Determine a, given that -2*a**3 - 40*a**2 - 118*a + 160 = 0.
-16, -5, 1
Determine p so that 3*p**3 - 153*p**2 = 0.
0, 51
Find f such that -2*f**3/9 + 184*f**2/3 - 122*f + 548/9 = 0.
1, 274
Suppose 3*o**4 + 27*o**3 + 81*o**2 + 81*o = 0. What is o?
-3, 0
Factor -16*d**3 - 6180*d**2 - 597528*d - 148996.
-4*(d + 193)**2*(4*d + 1)
Factor -i**2 + 41*i.
-i*(i - 41)
Factor -4*q**3 - 92*q**2 - 620*q - 1300.
-4*(q + 5)**2*(q + 13)
Determine f so that -4*f**5 - 360*f**4 - 11928*f**3 - 167872*f**2 - 716100*f + 2205000 = 0.
-25, -21, 2
Suppose 3*m**2 - 192*m + 189 = 0. What is m?
1, 63
Solve -36*j**3 + 109*j**2 - 3*j = 0 for j.
0, 1/36, 3
Factor 2*o**2/11 - 54*o/11 + 52/11.
2*(o - 26)*(o - 1)/11
Let -27*q**2 - 78*q - 48 = 0. Calculate q.
-2, -8/9
Suppose 67*o**2/2 + 2007*o/2 - 45 = 0. Calculate o.
-30, 3/67
Factor 4*a**2/7 - 80*a/7.
4*a*(a - 20)/7
Find y, given that -78*y**2 - 160*y - 8 = 0.
-2, -2/39
Let -4*r**3 + 12*r**2 = 0. Calculate r.
0, 3
Factor v**4/8 - 5*v**3/4 + v**2 + 5*v/4 - 9/8.
(v - 9)*(v - 1)**2*(v + 1)/8
Let t**3/2 - 2*t = 0. What is t?
-2, 0, 2
Factor -u**2/8 + 117*u/8 + 45.
-(u - 120)*(u + 3)/8
Determine m, given that m**5 + 23*m**4 + 111*m**3 + 149*m**2 - 80*m - 204 = 0.
-17, -3, -2, 1
Determine p so that p**5/2 + 31*p**4/2 + 137*p**3 + 206*p**2 - 700*p - 784 = 0.
-14, -4, -1, 2
Factor 2*f**2 + 38*f + 68.
2*(f + 2)*(f + 17)
Factor -2*c**2/7 + 3216*c/7 - 1292832/7.
-2*(c - 804)**2/7
Suppose 10*h**5 + 5*h**4 - 110*h**3 + 125*h**2 + 10*h - 40 = 0. What is h?
-4, -1/2, 1, 2
Factor -l**4 + 165*l**3 - 8904*l**2 + 147392*l + 526848.
-(l - 56)**3*(l + 3)
Factor -10*w**2/3 - 8*w/3 - 8/15.
-2*(5*w + 2)**2/15
Solve 3*f**4 - 18*f**3 - 111*f**2 + 270*f = 0.
-5, 0, 2, 9
Factor n**3/3 + 20*n**2/3 + 89*n/3 + 70/3.
(n + 1)*(n + 5)*(n + 14)/3
Suppose 3*m**4/7 - 6*m**3/7 - 39*m**2 + 816*m/7 - 540/7 = 0. What is m?
-10, 1, 2, 9
Factor 5*f**5 + 40*f**4 - 60*f**3 - 110*f**2 + 215*f - 90.
5*(f - 1)**3*(f + 2)*(f + 9)
What is t in -2*t**2/5 - 2588*t/5 - 837218/5 = 0?
-647
Factor 3*x**2 - 3069*x + 3066.
3*(x - 1022)*(x - 1)
What is g in 2*g**5 - 330*g**4 - 6394*g**3 - 35214*g**2 - 52576*g - 23424 = 0?
-8, -1, 183
Factor 56*o**2 - 492*o - 108.
4*(o - 9)*(14*o + 3)
Factor -2*x**3/7 - 138*x**2/7 - 124*x.
-2*x*(x + 7)*(x + 62)/7
Factor -2*d**2/11 - 74*d/11 + 76/11.
-2*(d - 1)*(d + 38)/11
Factor -3*h**5 - 18*h**4 - 36*h**3 - 24*h**2.
-3*h**2*(h + 2)**3
Factor 2*r**5 - 128*r**4 + 120*r**3 + 388*r**2 - 634*r + 252.
2*(r - 63)*(r - 1)**3*(r + 2)
Suppose 2*y**5/7 + 516*y**4/7 + 32758*y**3/7 - 68116*y**2/7 - 4680*y + 67600/7 = 0. Calculate y.
-130, -1, 1, 2
Factor -2*u**2/5 + 48*u/5 - 46/5.
-2*(u - 23)*(u - 1)/5
Factor -2*u**2 + 212*u + 1824.
-2*(u - 114)*(u + 8)
Factor 4*a**3/5 + 4*a**2/5 - 24*a/5.
4*a*(a - 2)*(a + 3)/5
Solve -5*h**4/2 - 16945*h**3/2 - 14348175*h**2/2 + 14365125*h/2 = 0 for h.
-1695, 0, 1
Let -4*u**2/7 + 11216*u/7 - 7862416/7 = 0. Calculate u.
1402
Let -4*o**2 - 984*o + 2988 = 0. What is o?
-249, 3
Factor 3*y**2 - 247*y - 166.
(y - 83)*(3*y + 2)
Solve 4*a**4/7 + 2256*a**3/7 - 12*a**2/7 - 6760*a/7 + 4512/7 = 0.
-564, -2, 1
Factor -2*j**3 - 430*j**2 + 2*j + 430.
-2*(j - 1)*(j + 1)*(j + 215)
Factor -5*n**3 - 65*n**2 + 670*n - 600.
-5*(n - 6)*(n - 1)*(n + 20)
Determine o, given that -o**3/6 - 17*o**2/2 - 32*o - 94/3 = 0.
-47, -2
Factor -5*c**4 + 240*c**3 + 1560*c**2 + 3200*c + 2160.
-5*(c - 54)*(c + 2)**3
Factor -5*o**3 - 5175*o**2 - 1785375*o - 205318125.
-5*(o + 345)**3
Suppose -5*x**2/4 + 685*x + 2745/4 = 0. Calculate x.
-1, 549
Factor 2*b**2/3 - 6*b - 20/3.
2*(b - 10)*(b + 1)/3
Factor q**3 + 78*q**2 + 1596*q + 2888.
(q + 2)*(q + 38)**2
Factor 3*t**4 + 998*t**3 + 2647*t**2 + 2312*t + 660.
(t + 1)**2*(t + 330)*(3*t + 2)
Factor v**4/2 + 52*v**3 + 1299*v**2 - 2756*v + 2809/2.
(v - 1)**2*(v + 53)**2/2
Determine j so that -343*j**5/3 - 44639*j**4/3 + 129668*j**3/3 - 89200*j**2/3 + 23392*j/3 - 2128/3 = 0.
-133, 2/7, 2
Factor 10*t**3 + 146*t**2 + 368*t + 232.
2*(t + 1)*(t + 2)*(5*t + 58)
Factor 3*s**2 - 18*s - 273.
3*(s - 13)*(s + 7)
Find z, given that z**3 - 14*z**2 + 9*z + 324 = 0.
-4, 9
Factor 32805*j**3 + 67230*j**2 + 3260*j + 40.
5*(j + 2)*(81*j + 2)**2
What is l in 4*l**5 + 24*l**4 - 72*l**3 - 864*l**2 - 2268*l - 1944 = 0?
-3, 6
Find f, given that 2*f**4/17 - 542*f**3/17 + 538*f**2/17 + 542*f/17 - 540/17 = 0.
-1, 1, 270
Factor 3*z**4 + 12*z**3 - 48*z - 48.
3*(z - 2)*(z + 2)**3
Suppose -4*i**2 + 1056*i + 2128 = 0. Calculate i.
-2, 266
Solve -2*f**3/5 - 14*f**2/5 + 28*f + 160 = 0 for f.
-10, -5, 8
Factor -20*x**3 + 205*x**2 + 430*x - 120.
-5*(x - 12)*(x + 2)*(4*x - 1)
Find w, given that -2*w**5/3 - 38*w**4/3 - 224*w**3/3 - 376*w**2/3 + 128*w/3 + 512/3 = 0.
-8, -2, 1
Factor 4*y**4 - 8*y**3 - 12*y**2 + 32*y - 16.
4*(y - 2)*(y - 1)**2*(y + 2)
Factor -g**3 + 10*g**2 - 25*g.
-g*(g - 5)**2
Determine c so that -5*c**4 - 1130*c**3 + 15*c**2 + 3400*c + 2260 = 0.
-226, -1, 2
Factor 4*q**3/3 - 173*q**2/3 - 232*q - 141.
(q - 47)*(q + 3)*(4*q + 3)/3
Find w, given that -2*w**2/5 - 16*w/5 - 14/5 = 0.
-7, -1
Let -i**3/5 + 248*i**2/5 - 433*i + 3346/5 = 0. Calculate i.
2, 7, 239
Find d such that -46*d**4/11 + 8*d**3 + 146*d**2/11 + 12*d/11 = 0.
-1, -2/23, 0, 3
Find n, given that 3*n**4/7 + 180*n**3/7 + 576*n**2 + 5712*n + 21168 = 0.
-18, -14
Solve x**3/5 - 112*x**2/5 - 699*x/5 - 1062/5 = 0 for x.
-3, 118
Find p such that 10*p**5/9 - 292*p**4/9 + 338*p**3/9 - 56*p**2/9 = 0.
0, 1/5, 1, 28
Find g, given that -2*g**5 + 46*g**4 + 12*g**3 - 7172*g**2 + 54934*g - 103818 = 0.
-13, 3, 11
Factor -2*t**3 + 74*t**2 - 332*t + 384.
-2*(t - 32)*(t - 3)*(t - 2)
Suppose -g**3/8 - 17*g**2/4 - 95*g/8 - 31/4 = 0. What is g?
-31, -2, -1
