 1920*f.
4*f*(f - 1200)*(3*f + 2)/5
Determine a, given that -a**2/2 - 547*a - 299209/2 = 0.
-547
Find g such that 7*g**5 + 26*g**4 + 13*g**3 - 6*g**2 = 0.
-3, -1, 0, 2/7
Find g, given that -g**3 + 69*g**2 - 1395*g + 6727 = 0.
7, 31
Let -4*w**5 - 156*w**4 - 956*w**3 - 1956*w**2 - 1152*w = 0. Calculate w.
-32, -3, -1, 0
Factor 2*q**2/11 - 156*q/11 - 2160/11.
2*(q - 90)*(q + 12)/11
Factor -l**3/12 + 43*l**2/12 + 11*l/3.
-l*(l - 44)*(l + 1)/12
Suppose -2*t**3/3 - 6*t**2 - 18*t - 18 = 0. Calculate t.
-3
Factor z**2/7 + 1308*z/7 + 427716/7.
(z + 654)**2/7
Let -2*g**5/3 + 46*g**4/3 - 42*g**3 + 122*g**2/3 - 40*g/3 = 0. Calculate g.
0, 1, 20
Factor 4*r**5 + 4*r**4 - 84*r**3 - 164*r**2 - 80*r.
4*r*(r - 5)*(r + 1)**2*(r + 4)
Factor -95*x**2 - 1315*x + 210.
-5*(x + 14)*(19*x - 3)
Factor 2*u**4/9 - 4*u**3/9.
2*u**3*(u - 2)/9
Determine h so that h**2 - 6*h + 8 = 0.
2, 4
Determine a, given that -2*a**2 + 24772*a - 76706498 = 0.
6193
Let i**3 + 19*i**2 - 216*i = 0. Calculate i.
-27, 0, 8
Suppose 21*w**2 - 429*w/5 + 36/5 = 0. Calculate w.
3/35, 4
Let -4*f**2 + 68*f + 152 = 0. Calculate f.
-2, 19
Let n**2 + 384*n + 36864 = 0. What is n?
-192
Factor 3*t**2 - 60*t + 153.
3*(t - 17)*(t - 3)
Factor 2*j**5 - 2498*j**4 + 1038332*j**3 - 142939260*j**2 - 289003518*j - 145023426.
2*(j - 417)**3*(j + 1)**2
What is g in -13*g**2/5 - 571*g/5 + 44/5 = 0?
-44, 1/13
Suppose -2*r**4/15 - 4*r**3/5 = 0. Calculate r.
-6, 0
Determine v so that v**2/2 + 765*v/2 - 767 = 0.
-767, 2
Factor -2*g**3/11 - 9522*g**2/11 - 15111414*g/11 - 7993938006/11.
-2*(g + 1587)**3/11
Solve 21*u**2/4 - 11*u/2 + 1/4 = 0 for u.
1/21, 1
Factor i**5 - 42*i**4 - 179*i**3 - 228*i**2 - 92*i.
i*(i - 46)*(i + 1)**2*(i + 2)
What is i in -i**4 + 6*i**3 + i**2 - 6*i = 0?
-1, 0, 1, 6
Find l, given that l**2 + 27*l - 58 = 0.
-29, 2
Factor 2*j**2/15 - 56*j/15 + 26.
2*(j - 15)*(j - 13)/15
Factor -5*t**2 - 30*t.
-5*t*(t + 6)
Solve 5*g**2 - 1916*g + 383 = 0 for g.
1/5, 383
Factor 2*b**3 + 30*b**2 - 336*b + 736.
2*(b - 4)**2*(b + 23)
Factor -1156*b**3 + 1088*b**2 + 67*b + 1.
-(b - 1)*(34*b + 1)**2
Let 14*d**2 - 74*d + 20 = 0. Calculate d.
2/7, 5
Factor -3*o**2/2 - 2916*o - 1417176.
-3*(o + 972)**2/2
Let 3*j**4 + 12*j**3 + 12*j**2 = 0. Calculate j.
-2, 0
Factor 534361*w**2 + 4386*w + 9.
(731*w + 3)**2
Let k**5/2 - 19*k**4/2 + 59*k**3/2 + 19*k**2/2 - 30*k = 0. Calculate k.
-1, 0, 1, 4, 15
Factor 4*n**4 - 92*n**3 + 84*n**2 + 92*n - 88.
4*(n - 22)*(n - 1)**2*(n + 1)
Factor f**2/7 + 155*f/7 - 156/7.
(f - 1)*(f + 156)/7
Factor -3*m**2/7 - 99*m/7 - 348/7.
-3*(m + 4)*(m + 29)/7
Factor k**3/3 - 2*k**2/3.
k**2*(k - 2)/3
Factor 2*q**4/5 - 6828*q**3/5 + 5820866*q**2/5 + 11662224*q/5 + 5834528/5.
2*(q - 1708)**2*(q + 1)**2/5
Find i such that -i**3 - 1296*i**2 - 559872*i - 80621568 = 0.
-432
Suppose -3*j**2/8 - 39*j/8 - 9/2 = 0. What is j?
-12, -1
Suppose -3*k**3 - 48*k**2 - 117*k = 0. Calculate k.
-13, -3, 0
Solve -4*z**5/3 + 284*z**4 - 46628*z**3/3 + 44660*z**2 - 29400*z = 0.
0, 1, 2, 105
Factor t**3 - 67*t**2 - 208*t - 140.
(t - 70)*(t + 1)*(t + 2)
Suppose -5*r**3 - 160*r**2 + 1375*r + 56250 = 0. Calculate r.
-25, 18
Factor j**5/3 - 2*j**4 + 5*j**3/3 + 4*j**2.
j**2*(j - 4)*(j - 3)*(j + 1)/3
Factor -2*r**2/13 + 54*r + 2124/13.
-2*(r - 354)*(r + 3)/13
Solve -2*g**4 - 186*g**3/7 + 172*g**2/7 + 456*g/7 + 16 = 0 for g.
-14, -1, -2/7, 2
Let 2*p**3 + 58*p**2 + 468*p + 720 = 0. Calculate p.
-15, -12, -2
Factor 5*q**5 - 60*q**4 - 300*q**3 - 320*q**2.
5*q**2*(q - 16)*(q + 2)**2
Factor -2*b**3 + 62*b - 60.
-2*(b - 5)*(b - 1)*(b + 6)
Determine t so that -t**2 + 1938*t - 938961 = 0.
969
Factor 2*c**2/3 - 2608*c + 2550624.
2*(c - 1956)**2/3
Factor -12*b**4 + 8*b**3 + 28*b**2 + 8*b.
-4*b*(b - 2)*(b + 1)*(3*b + 1)
Factor 2*y**2 - 98*y - 3124.
2*(y - 71)*(y + 22)
Factor 3*d**2/8 + 6*d - 1683/8.
3*(d - 17)*(d + 33)/8
Find a, given that 2*a**5/3 - 4*a**4 - 2*a**3 + 112*a**2/3 - 32*a = 0.
-3, 0, 1, 4
Solve m**3/6 + 16*m**2/3 - 11*m/2 = 0 for m.
-33, 0, 1
Factor 2*n**3/15 + 24*n**2/5 - 512*n/5 + 6656/15.
2*(n - 8)**2*(n + 52)/15
Factor -3*r**3/2 + 1392*r**2 - 643095*r/2 - 648675.
-3*(r - 465)**2*(r + 2)/2
Factor 3*w**4/5 - 3*w**3 + 24*w**2/5 - 12*w/5.
3*w*(w - 2)**2*(w - 1)/5
Let 16*x**3 + 240*x**2 - 252*x + 64 = 0. What is x?
-16, 1/2
Factor 2*f**2/9 + 2080*f/9 - 694/3.
2*(f - 1)*(f + 1041)/9
Factor -2*w**2 + 42*w + 200.
-2*(w - 25)*(w + 4)
Solve 343*r**5 + 1225*r**4 - 567*r**3 + 83*r**2 - 4*r = 0.
-4, 0, 1/7
Solve 3*h**4 + 93*h**3 + 84*h**2 - 180*h = 0.
-30, -2, 0, 1
Determine a, given that -2*a**4 + 74*a**3 - 564*a**2 - 2240*a - 1600 = 0.
-2, -1, 20
Let d**4 + d**3 - 9*d**2 + 11*d - 4 = 0. What is d?
-4, 1
Factor -3*u**3 + 57*u**2 - 114*u - 480.
-3*(u - 16)*(u - 5)*(u + 2)
Solve a**5/2 + 23*a**4/2 + 141*a**3/2 + 77*a**2/2 - 121*a = 0.
-11, -2, 0, 1
Factor 3*p**3 - 345*p**2 + 1341*p - 999.
3*(p - 111)*(p - 3)*(p - 1)
Factor -b**5/2 + 5*b**4/2 - 2*b**3.
-b**3*(b - 4)*(b - 1)/2
Factor 5*d**4/2 + 16*d**3 + 37*d**2/2 + 5*d.
d*(d + 1)*(d + 5)*(5*d + 2)/2
Suppose -90*d**5 - 345*d**4 + 1745*d**3 - 1665*d**2 + 585*d - 70 = 0. Calculate d.
-7, 1/3, 1/2, 2
Determine x so that 2*x**2 - 4*x = 0.
0, 2
Factor -2*m**5/3 - 4*m**4 - 10*m**3/3.
-2*m**3*(m + 1)*(m + 5)/3
Factor -2*c**4/3 - 8*c**3/3 + 32*c/3 + 32/3.
-2*(c - 2)*(c + 2)**3/3
Solve w**2 + 4*w - 32 = 0 for w.
-8, 4
Find d, given that -4*d**3/7 + 960*d**2/7 + 5904*d/7 = 0.
-6, 0, 246
Solve 3*t**2 + 378*t - 5880 = 0 for t.
-140, 14
Determine z, given that 25*z**5/2 - 80*z**4 - 415*z**3/2 + 395*z**2 - 120*z = 0.
-3, 0, 2/5, 1, 8
Factor 2*f**5 + 94*f**4 - 3120*f**3 + 20448*f**2.
2*f**2*(f - 12)**2*(f + 71)
Factor -j**4/2 + 7*j**2/2 - 3*j.
-j*(j - 2)*(j - 1)*(j + 3)/2
Factor -2*p**4 - 50*p**3 + 56*p**2 + 104*p.
-2*p*(p - 2)*(p + 1)*(p + 26)
Factor -2*r**5 + 6*r**4 - 8*r**2.
-2*r**2*(r - 2)**2*(r + 1)
Factor 2*g**2/7 + 104*g/7.
2*g*(g + 52)/7
Factor 2*w**4 + 60*w**3 + 338*w**2 + 336*w - 736.
2*(w - 1)*(w + 4)**2*(w + 23)
Find n, given that -2*n**5 - 4*n**4 + 4*n**3 + 16*n**2 + 14*n + 4 = 0.
-1, 2
Solve -35*d**5 - 185*d**4 - 155*d**3 + 285*d**2 + 90*d = 0 for d.
-3, -2/7, 0, 1
Determine s so that -2*s**5/3 - 14*s**4/3 - 2*s**3/3 + 94*s**2/3 + 4*s/3 - 80/3 = 0.
-5, -4, -1, 1, 2
What is d in -5*d**3 + 150*d**2 + 315*d + 160 = 0?
-1, 32
Factor -39*n**2/8 + 813*n/8 + 63/4.
-3*(n - 21)*(13*n + 2)/8
Factor 2*o**3/15 - 184*o**2/15 + 4232*o/15.
2*o*(o - 46)**2/15
Let f**4 + 159*f**3 + 8427*f**2 + 148877*f = 0. Calculate f.
-53, 0
Suppose -7*u**3/3 + 37*u**2/3 - 52*u/3 + 4 = 0. What is u?
2/7, 2, 3
Solve -z**4 - 10*z**3 + 39*z**2 = 0 for z.
-13, 0, 3
Let -2*a**3 - 510*a**2 - 43350*a - 1228250 = 0. What is a?
-85
Find w such that -5*w**4 + 80*w**3 + 185*w**2 - 80*w - 180 = 0.
-2, -1, 1, 18
Find l, given that 4*l**3 - 420*l**2 + 828*l - 412 = 0.
1, 103
Solve -3*v**2/2 + 141*v + 288 = 0.
-2, 96
Find s such that -4*s**2 + 116*s + 120 = 0.
-1, 30
Factor 2*d**3 + 1368*d**2 + 311904*d + 23704704.
2*(d + 228)**3
Find q, given that q**2/5 - 440*q + 242000 = 0.
1100
Determine m so that 4*m**2 - 72*m - 76 = 0.
-1, 19
Suppose o**3 + 9*o**2 - 36*o = 0. What is o?
-12, 0, 3
Factor -h**5/8 + 3*h**4/4 + 9*h**3/4 - 27*h**2 + 567*h/8 - 243/4.
-(h - 3)**4*(h + 6)/8
Factor 2*l**4/5 - 92*l**3/5 + 626*l**2/5 + 9936*l/5 + 23328/5.
2*(l - 27)**2*(l + 4)**2/5
Factor n**3/11 - 3*n**2/11 - 9*n/11 - 5/11.
(n - 5)*(n + 1)**2/11
Solve -7*f**4/3 - 4*f**3 + 11*f**2/3 + 4*f - 4/3 = 0 for f.
-2, -1, 2/7, 1
Let -u**2 + 11*u - 10 = 0. What is u?
1, 10
Suppose -2*y**4/11 - 62*y**3/11 - 356*y**2/11 - 480*y/11 = 0. Calculate y.
-24, -5, -2, 0
Let -q**4/3 - 88*q**3/3 + 274*q**2/3 + 88*q/3 - 91 = 0. Calculate q.
-91, -1, 1, 3
Factor 374*v**2 + 4*v.
2*v*(187*v + 2)
Suppose 2*k**4/7 - 22*k**3/7 + 78*k**2/7 - 90*k/7 = 0. What is k?
0, 3, 5
Determine h, given that 10*h**4/9 + 8*h**3/3 - 14*h**2/3 - 80*h/9 - 8/3 = 0.
-3, -1, -2/5, 2
Factor 4*p**5 - 16*p**4 - 8*p**3 + 48*p**2 + 36*p.
4*p*(p - 3)**2*(p + 1)**2
Factor 2*f**2/5 - 736*f/5 + 1464/5.
2*(f - 366)*(f - 2)/5
Determine d, given that -21*d**3/2 - 99*d**2/2 - 48*d + 18 = 0.
-3, -2, 2/7
Factor -2*k**2/5 + 3176*k/5 - 1260872/5.
-2*(k - 794)**2/5
Factor 3*l**3 + 585*l**2 + 12744*l + 73872.
3*(l + 12)**2*(l + 171)
Factor u**3/4 - u**2/2 - 35*u/4.
u*(u - 7)*(u + 5)/4
Determine b so that 5*b**4 + 230*b**3 + 625*b**