**3/2 - 25*f**2/2.
-f**2*(f + 1)*(f + 5)**2/2
Factor 20*r**3 - 3148*r**2 + 1256*r.
4*r*(r - 157)*(5*r - 2)
Factor -2*i**2/15 + 4*i - 54/5.
-2*(i - 27)*(i - 3)/15
Let -t**3/6 - t**2/2 = 0. Calculate t.
-3, 0
Factor s**2/3 - 10*s/3 + 3.
(s - 9)*(s - 1)/3
Solve -10*u**5/9 + 94*u**4/9 - 206*u**3/9 - 22*u**2/9 + 24*u - 8 = 0.
-1, 2/5, 1, 3, 6
Factor 2*p**4/5 + 168*p**3/5 + 3528*p**2/5.
2*p**2*(p + 42)**2/5
Solve 4*o**2/15 + 6*o/5 - 2/3 = 0 for o.
-5, 1/2
Find v such that 2*v**3 - 6*v**2 - 218*v - 546 = 0.
-7, -3, 13
Find q such that -3*q**2/4 - 774*q = 0.
-1032, 0
Factor -a**4/5 - 6*a**3 - 108*a**2/5 - 104*a/5.
-a*(a + 2)**2*(a + 26)/5
Factor -5*n**4 + 25*n**3 - 15*n**2 - 45*n.
-5*n*(n - 3)**2*(n + 1)
Factor 2*m**2/5 + 586*m/5 - 236.
2*(m - 2)*(m + 295)/5
Factor -q**4/3 - 8*q**3/3 - 7*q**2 - 22*q/3 - 8/3.
-(q + 1)**2*(q + 2)*(q + 4)/3
Solve 3*r**5 - 789*r**4 + 2349*r**3 - 2343*r**2 + 780*r = 0.
0, 1, 260
Find s such that 2*s**5/3 - 3634*s**4/3 + 2199776*s**3/3 - 147626448*s**2 - 149832288*s + 296726688 = 0.
-2, 1, 606
Solve -p**4/2 - 7*p**3 - 9*p**2/2 + 28*p + 26 = 0 for p.
-13, -2, -1, 2
Determine t so that -2*t**3 + 4710*t**2 - 3697350*t + 967473250 = 0.
785
Solve w**3/4 + 13*w**2/2 + 23*w/4 - 25/2 = 0.
-25, -2, 1
Factor c**3 - 126*c**2/5 + 29*c - 24/5.
(c - 24)*(c - 1)*(5*c - 1)/5
Solve 2*n**3/3 - 24*n**2 - 360*n - 1152 = 0.
-6, 48
Solve 2*x**4 + 12*x**3 - 30*x**2 + 16*x = 0.
-8, 0, 1
Factor 3*h**4/5 + 18*h**3/5 - 288*h**2/5 - 384*h.
3*h*(h - 10)*(h + 8)**2/5
Solve w**4/6 - w**3 + 4*w**2/3 + w - 3/2 = 0.
-1, 1, 3
Factor -6*f**2 + 1078*f + 1448.
-2*(f - 181)*(3*f + 4)
Suppose 4096*q**3 - 768*q**2 + 36*q = 0. Calculate q.
0, 3/32
Let 4*t**5 + 44*t**4 - 8*t**3 - 88*t**2 + 4*t + 44 = 0. Calculate t.
-11, -1, 1
Determine w so that 5*w**4/6 + 10*w**3 + 35*w**2/2 + 25*w/3 = 0.
-10, -1, 0
Let h**2/4 + 4*h - 9 = 0. What is h?
-18, 2
Factor -3*v**2 - 108*v - 105.
-3*(v + 1)*(v + 35)
Let v**4 - 49*v**3/8 + 47*v**2/4 - 59*v/8 + 3/4 = 0. Calculate v.
1/8, 1, 2, 3
Find b such that b**2/10 + 31*b/10 = 0.
-31, 0
Factor 2*n**2/17 + 2*n + 32/17.
2*(n + 1)*(n + 16)/17
Suppose -2*f**4 - 20*f**3 - 54*f**2 - 36*f = 0. What is f?
-6, -3, -1, 0
Factor -5*t**4 - 95*t**3 - 485*t**2 - 225*t + 810.
-5*(t - 1)*(t + 2)*(t + 9)**2
Determine q, given that 2*q**5 + 3*q**4 - 5*q**3 - 5*q**2 + 3*q + 2 = 0.
-2, -1, -1/2, 1
Factor -12*u**3 + 20*u**2 + 44*u + 12.
-4*(u - 3)*(u + 1)*(3*u + 1)
Find o such that o**4 - 15*o**3 + 39*o**2 - 37*o + 12 = 0.
1, 12
Factor -73*z**2/2 + 217*z/2 + 3.
-(z - 3)*(73*z + 2)/2
Let -2*g**4 - 7*g**3/2 + g**2/2 + 7*g/2 + 3/2 = 0. Calculate g.
-1, -3/4, 1
Factor 3*f**2/2 - 3*f + 3/2.
3*(f - 1)**2/2
Determine d so that -2*d**4 - 24*d**3/5 + 32*d**2/5 + 96*d/5 + 32/5 = 0.
-2, -2/5, 2
Factor 2*h**2 - 12194*h - 12196.
2*(h - 6098)*(h + 1)
Factor -2*h**3/17 + 14*h**2/17 + 40*h/17 - 192/17.
-2*(h - 8)*(h - 3)*(h + 4)/17
Factor 1156*y**2 - 60520*y + 792100.
4*(17*y - 445)**2
Let 4*q**3 - 8944*q**2 + 5008628*q - 9981512 = 0. Calculate q.
2, 1117
Solve -4*m**2/3 + 116*m - 1200 = 0 for m.
12, 75
Factor -h**2/4 - 141*h/4 - 170.
-(h + 5)*(h + 136)/4
Solve -3*y**3 - 168*y**2 + 345*y - 174 = 0 for y.
-58, 1
Factor -3*j**3/4 - 65*j**2/4 - 341*j/4 + 121/4.
-(j + 11)**2*(3*j - 1)/4
Factor 4*s**3 + 228*s**2 + 1260*s + 1836.
4*(s + 3)**2*(s + 51)
Determine c, given that -2*c**2/3 - 4*c/3 + 192 = 0.
-18, 16
Factor 3*p**2/4 - 114*p - 1476.
3*(p - 164)*(p + 12)/4
Determine r so that r**5/2 + 24*r**4 + 809*r**3/2 + 2791*r**2 + 7038*r + 5780 = 0.
-17, -10, -2
What is n in 2*n**2 + 452*n + 896 = 0?
-224, -2
Factor -4*u**3 + 12*u**2 + 16*u.
-4*u*(u - 4)*(u + 1)
Let 4*v**5 - 44*v**4 + 136*v**3 + 32*v**2 - 640*v + 512 = 0. Calculate v.
-2, 1, 4
Suppose -q**2/5 + 3*q/5 + 88/5 = 0. Calculate q.
-8, 11
Factor -2*n**5 + 30*n**4 - 150*n**3 + 290*n**2 - 240*n + 72.
-2*(n - 6)**2*(n - 1)**3
Factor -2*i**3/13 - 110*i**2/13 + 844*i/13 - 1488/13.
-2*(i - 4)*(i - 3)*(i + 62)/13
Factor -8*a**2 + 113*a/2 - 165/2.
-(a - 5)*(16*a - 33)/2
Factor f**5/6 - f**4 + 13*f**3/6 - 2*f**2 + 2*f/3.
f*(f - 2)**2*(f - 1)**2/6
What is f in -2*f**3/9 - 36*f**2 + 440*f/3 - 1328/9 = 0?
-166, 2
Let -3*k**4 + 21*k**2 + 18*k = 0. What is k?
-2, -1, 0, 3
Determine s, given that 2*s**2 - 16*s + 32 = 0.
4
Suppose g**4/2 - 37*g**3 + 936*g**2 - 8640*g + 13824 = 0. What is g?
2, 24
Suppose t**2 + 2400*t + 1440000 = 0. What is t?
-1200
Determine y, given that -4*y**5/7 - 940*y**4/7 - 1852*y**3/7 + 404*y**2 + 7472*y/7 + 3728/7 = 0.
-233, -2, -1, 2
Solve h**4/7 - 3*h**3 + 14*h**2 - 120*h/7 = 0.
0, 2, 4, 15
Determine n, given that -3*n**3 + 426*n**2 + 2649*n + 2220 = 0.
-5, -1, 148
Factor 2*h**2 - 8*h - 24.
2*(h - 6)*(h + 2)
Find g such that 3*g**2 + 141*g - 144 = 0.
-48, 1
Let -5*s**5 - 20*s**4 - 20*s**3 = 0. Calculate s.
-2, 0
Factor -3*t**2/4 - 345*t/2 - 39675/4.
-3*(t + 115)**2/4
Let -3*w**4/4 - 135*w**3/2 + 1113*w**2/4 - 351*w + 141 = 0. Calculate w.
-94, 1, 2
Determine t, given that -t**2 - 76*t = 0.
-76, 0
Let -w**3/4 + 99*w**2/4 - 145*w/2 + 48 = 0. Calculate w.
1, 2, 96
Factor 4*p**3 - 12*p**2 - 72*p.
4*p*(p - 6)*(p + 3)
What is v in -2*v**3/3 - 236*v**2/3 - 230*v = 0?
-115, -3, 0
Factor -4*w**3 - 320*w**2 - 3892*w - 12936.
-4*(w + 7)**2*(w + 66)
Find i such that -14*i**4/3 - 1348*i**3/3 - 2974*i**2/3 + 3208*i/3 + 376 = 0.
-94, -3, -2/7, 1
Suppose -4*i**2 - 984*i + 1984 = 0. What is i?
-248, 2
Suppose 6*y**5/7 + 38*y**4/7 - 36*y**3/7 - 52*y**2/7 + 30*y/7 + 2 = 0. What is y?
-7, -1, -1/3, 1
Suppose -s**3 - 3*s**2 + 46*s - 72 = 0. What is s?
-9, 2, 4
Suppose w**3/6 - w**2/2 + w/3 = 0. What is w?
0, 1, 2
Solve -2*v**3 + 10*v**2 - 16*v + 8 = 0 for v.
1, 2
Factor 14*y**3/3 + 88*y**2/3 + 94*y/3 + 20/3.
2*(y + 1)*(y + 5)*(7*y + 2)/3
Solve 5*z**4 - 7530*z**3 + 2842565*z**2 - 5662560*z + 2827520 = 0.
1, 752
Factor -5*w**4 - 15*w**3.
-5*w**3*(w + 3)
Find c such that 2*c**2 - 46*c + 252 = 0.
9, 14
Find r, given that -3*r**2 - 2203*r - 734 = 0.
-734, -1/3
Determine g so that -g**2/4 - 303*g/4 - 301/2 = 0.
-301, -2
Determine m so that 2*m**2 + 388*m - 390 = 0.
-195, 1
Determine b so that 2*b**2/5 - 22*b/5 - 24 = 0.
-4, 15
Solve 4*d**3 + 60*d**2 + 252*d + 324 = 0 for d.
-9, -3
Let w**5/4 - 3*w**4/2 - 17*w**3/2 + 12*w**2 + 153*w/4 - 81/2 = 0. What is w?
-3, 1, 2, 9
Factor -20*y**5 - 88*y**4 - 152*y**3 - 128*y**2 - 52*y - 8.
-4*(y + 1)**4*(5*y + 2)
Factor -26*a**2 + 51*a + 2.
-(a - 2)*(26*a + 1)
Find w, given that -2*w**3 - 26*w**2 - 104*w - 120 = 0.
-6, -5, -2
Solve 3*k**3/4 + 903*k**2/4 - 687*k - 912 = 0 for k.
-304, -1, 4
Solve -14*y**5/9 + 724*y**4/9 - 1192*y**3/9 - 400*y**2/9 = 0 for y.
-2/7, 0, 2, 50
Determine z so that -4*z**5/5 - 328*z**4/5 + 8*z**3/5 + 656*z**2/5 - 4*z/5 - 328/5 = 0.
-82, -1, 1
Factor -2*j**4 + 4*j**3 + 58*j**2 + 84*j.
-2*j*(j - 7)*(j + 2)*(j + 3)
Find c such that 2*c**5/3 + 78*c**4 + 1358*c**3/3 + 970*c**2 + 2672*c/3 + 296 = 0.
-111, -2, -1
Solve g**4 + 47*g**3 + 477*g**2 - 1775*g + 1250 = 0 for g.
-25, 1, 2
Let -4*b**4 - 24*b**3 + 44*b**2 + 96*b - 112 = 0. What is b?
-7, -2, 1, 2
What is l in 4*l**5 - 4*l**4 - 8*l**3 + 8*l**2 + 4*l - 4 = 0?
-1, 1
Factor -a**2/4 - 7*a - 49.
-(a + 14)**2/4
Factor -4*n**5 - 36*n**4 - 20*n**3 + 116*n**2 + 168*n + 64.
-4*(n - 2)*(n + 1)**3*(n + 8)
Factor 2*r**3/5 + 222*r**2/5 + 438*r/5 + 218/5.
2*(r + 1)**2*(r + 109)/5
Factor -5*p**2 + 175*p + 570.
-5*(p - 38)*(p + 3)
Determine d so that -5*d**3 - 75*d**2/2 + 260*d - 120 = 0.
-12, 1/2, 4
Let -g**4/5 - 12*g**3 - 958*g**2/5 - 348*g - 841/5 = 0. Calculate g.
-29, -1
Factor -2*v**4/17 - 94*v**3/17 - 182*v**2/17 - 90*v/17.
-2*v*(v + 1)**2*(v + 45)/17
Factor -2*q**3/13 + 16*q**2/13 + 38*q/13 + 20/13.
-2*(q - 10)*(q + 1)**2/13
What is f in 5*f**4 + 265*f**3 + 5175*f**2 + 43875*f + 135000 = 0?
-15, -8
Solve 12*b**5 + 81*b**4 + 51*b**3 - 354*b**2 - 396*b + 120 = 0 for b.
-5, -2, 1/4, 2
Factor 3*z**3/5 - 9*z/5 - 6/5.
3*(z - 2)*(z + 1)**2/5
Suppose -2*d**2/5 - 6124*d/5 - 4687922/5 = 0. What is d?
-1531
Factor -5*j**3 + 1195*j**2 - 1190*j.
-5*j*(j - 238)*(j - 1)
Determine z, given that 2*z**2 - 162*z + 3276 = 0.
39, 42
Factor -14*f**2 + 96*f + 110.
-2*(f + 1)*(7*f - 55)
Suppose 8*y**5/7 - 10424*y**4/7 + 3390402*y**3/7 + 3398224*y**2/7 + 850208*y/7 = 0. What is y?
-1/2, 0, 652
Solve 8*h**3/11 + 3766*h**2/11 + 6562*h/11 - 1876/11 = 0.
-