f - 2)/7
Factor -4*j**2 - 10816*j - 7311616.
-4*(j + 1352)**2
Determine m, given that 3*m**5 - 135*m**4 - 726*m**3 - 1188*m**2 - 600*m = 0.
-2, -1, 0, 50
Factor 4*d**5 + 1092*d**4 + 99368*d**3 + 3013192*d**2 - 99372*d - 3014284.
4*(d - 1)*(d + 1)*(d + 91)**3
Factor 3*h**3/4 + 45*h**2/4 - 219*h/4 + 171/4.
3*(h - 3)*(h - 1)*(h + 19)/4
Determine s so that -3*s**4 + 99*s**3 - 972*s**2 + 1296*s + 15552 = 0.
-3, 12
Find k such that -5*k**3 + 115*k**2 - 110*k = 0.
0, 1, 22
Factor 4*m**5 + 24*m**4 + 44*m**3 + 24*m**2.
4*m**2*(m + 1)*(m + 2)*(m + 3)
Let z**4/5 - 51*z**3/5 - 26*z**2 + 1272*z/5 = 0. Calculate z.
-6, 0, 4, 53
Factor t**5 - 19*t**4/3 + 11*t**3 - 3*t**2.
t**2*(t - 3)**2*(3*t - 1)/3
Factor 4*w**3 + 80*w**2 + 468*w + 648.
4*(w + 2)*(w + 9)**2
Determine t, given that 2*t**4/3 + 532*t**3/3 - 898*t**2 + 4328*t/3 - 2168/3 = 0.
-271, 1, 2
Find m such that -3*m**5/4 - 69*m**4/4 - 120*m**3 - 222*m**2 + 60*m + 300 = 0.
-10, -2, 1
Factor 15*u**4 + 39*u**3 - 153*u**2 + 129*u - 30.
3*(u - 1)**2*(u + 5)*(5*u - 2)
What is g in -4*g**3 + 644*g**2 - 17536*g + 132096 = 0?
16, 129
Factor -3*c**2 - 24*c - 48.
-3*(c + 4)**2
Factor -4*a**4 - 40*a**3 - 148*a**2 - 240*a - 144.
-4*(a + 2)**2*(a + 3)**2
Factor -b**2/4 + 65*b - 129.
-(b - 258)*(b - 2)/4
Suppose 4*h**4 - 68*h**3 + 164*h**2 + 68*h - 168 = 0. What is h?
-1, 1, 3, 14
Factor 2*c**2/5 + 94*c/5 - 408/5.
2*(c - 4)*(c + 51)/5
Factor 2*h**3/13 - 4*h**2/13 - 22*h/13 + 24/13.
2*(h - 4)*(h - 1)*(h + 3)/13
What is y in 5*y**2 + 55*y - 2160 = 0?
-27, 16
Factor -2*m**3/17 + 46*m**2/17 - 336*m/17 + 792/17.
-2*(m - 11)*(m - 6)**2/17
Factor -i**3/12 + 13*i**2/4 - 33*i/2.
-i*(i - 33)*(i - 6)/12
Solve v**4 - 11*v**3 - 25*v**2 - 13*v = 0.
-1, 0, 13
Factor 8*y**3 - 170*y**2 - 326*y + 92.
2*(y - 23)*(y + 2)*(4*y - 1)
Factor -3*s**4 + 63*s**3 - 42*s**2 - 360*s.
-3*s*(s - 20)*(s - 3)*(s + 2)
Factor 4*p**3 + 1112*p**2 - 2272*p - 8960.
4*(p - 4)*(p + 2)*(p + 280)
Suppose 2*j**5/3 - 4*j**4/3 - 226*j**3/3 - 260*j**2 = 0. Calculate j.
-6, -5, 0, 13
Let -12*r**3 - 657*r**2 - 9234*r - 6561 = 0. What is r?
-27, -3/4
Factor 4*l**3 - 12*l**2 - 40*l + 96.
4*(l - 4)*(l - 2)*(l + 3)
Factor -g**2/2 - 77*g/2.
-g*(g + 77)/2
Find z such that -3*z**3 + 165*z**2 - 1164*z + 1692 = 0.
2, 6, 47
Determine w, given that -45*w**2 + 1090*w - 240 = 0.
2/9, 24
Determine v, given that -4*v**4 - 88*v**3 - 240*v**2 + 3224*v + 3380 = 0.
-13, -1, 5
Let 9*s**3/2 + 132*s**2 - 183*s/2 - 45 = 0. Calculate s.
-30, -1/3, 1
Solve -2*w**2/13 + 632*w/13 = 0 for w.
0, 316
Let -3*y**3/5 + 68*y**2/5 - 92*y + 160 = 0. Calculate y.
8/3, 10
Factor 2*a**5/7 - 104*a**4/7 + 1244*a**3/7 + 2808*a**2/7 + 1458*a/7.
2*a*(a - 27)**2*(a + 1)**2/7
Determine h, given that h**2/8 - 27*h/8 - 7/2 = 0.
-1, 28
Factor -2*g**5 - 76*g**4 - 242*g**3 + 9120*g**2 - 28800*g.
-2*g*(g - 5)**2*(g + 24)**2
What is o in 64*o**2/7 - 232*o/7 + 54/7 = 0?
1/4, 27/8
Factor 78*a**4 - 2115*a**3 + 19197*a**2 - 59049*a + 6561.
3*(a - 9)**3*(26*a - 3)
Factor 5*l**4 - 270*l**3 + 1500*l**2 - 2920*l + 1920.
5*(l - 48)*(l - 2)**3
Factor -v**5/2 + 165*v**4/2 + 968*v**3.
-v**3*(v - 176)*(v + 11)/2
Suppose -315*h**4 + 600*h**3 + 995*h**2 + 460*h/3 - 100 = 0. What is h?
-2/3, 5/21, 3
Solve -4*l**2 - 2524*l + 2528 = 0.
-632, 1
Factor -5*f**3 - 815*f**2 - 32800*f + 33620.
-5*(f - 1)*(f + 82)**2
Factor -2*d**3 + 14*d**2 - 20*d.
-2*d*(d - 5)*(d - 2)
Solve d**2 - 470*d + 55225 = 0.
235
Solve 12*k**4 + 104*k**3 - 156*k**2 + 40*k = 0 for k.
-10, 0, 1/3, 1
What is y in 52*y**3 + 320*y**2 - 316*y - 56 = 0?
-7, -2/13, 1
Factor 5*k**4 + 95*k**3 + 400*k**2 - 500*k.
5*k*(k - 1)*(k + 10)**2
What is r in 2*r**3/3 - 2*r**2/3 = 0?
0, 1
Determine a so that -a**2/5 + 32*a/5 + 144/5 = 0.
-4, 36
Let -r**5/4 + 89*r**4/4 + 183*r**3/2 + 277*r**2/2 + 371*r/4 + 93/4 = 0. Calculate r.
-1, 93
Suppose -14*p**2 - 1620*p + 464 = 0. What is p?
-116, 2/7
Let -2*k**4/21 - 358*k**3/21 + 2*k**2/21 + 358*k/21 = 0. What is k?
-179, -1, 0, 1
Determine b, given that -b**3/6 - 52*b**2/3 - 298*b/3 - 392/3 = 0.
-98, -4, -2
Factor -2*y**2/11 - 4392*y/11 - 2411208/11.
-2*(y + 1098)**2/11
Solve 2*a**5 + 1396*a**4/7 - 3242*a**3/7 + 320*a**2 - 408*a/7 = 0 for a.
-102, 0, 2/7, 1
Factor -d**3/6 - 306*d**2 - 140454*d.
-d*(d + 918)**2/6
Factor -5*a**2 + 290*a - 4205.
-5*(a - 29)**2
Find t such that -2*t**4 - 38*t**3 - 70*t**2 - 34*t = 0.
-17, -1, 0
Factor 2*c**3/3 - 58*c**2/3 - 122*c/3 - 62/3.
2*(c - 31)*(c + 1)**2/3
Factor 5*b**3 - 525*b**2 + 18375*b - 214375.
5*(b - 35)**3
Solve 72*m**5 + 48*m**4 - 206*m**3 + 50*m**2/3 + 248*m/3 - 40/3 = 0.
-2, -2/3, 1/6, 5/6, 1
Factor b**2/2 + 115*b - 232.
(b - 2)*(b + 232)/2
Suppose 4*r**4/3 - 4*r**3 + 4*r**2 - 4*r/3 = 0. What is r?
0, 1
Find i, given that -44*i**4 - 976*i**3 - 5500*i**2 - 968*i = 0.
-11, -2/11, 0
Suppose p**2 - 794*p = 0. What is p?
0, 794
Factor -5*i**5 - 45*i**4 - 70*i**3 + 10*i**2 + 75*i + 35.
-5*(i - 1)*(i + 1)**3*(i + 7)
Factor -6*b**3/11 - 180*b**2/11 + 2346*b/11 - 2160/11.
-6*(b - 9)*(b - 1)*(b + 40)/11
Factor -i**2/5 - 67*i.
-i*(i + 335)/5
Suppose -7*x**4/5 + 26*x**3/5 - 27*x**2/5 + 4*x/5 + 4/5 = 0. Calculate x.
-2/7, 1, 2
Factor -5*g**2/2 - 315*g/2 - 725.
-5*(g + 5)*(g + 58)/2
Solve -4*l**2 + 36*l + 208 = 0 for l.
-4, 13
Factor 5*i**3 - 2670*i**2 + 353760*i + 718240.
5*(i - 268)**2*(i + 2)
Solve 4*b**2 - 204*b + 392 = 0.
2, 49
Find d, given that 2*d**5/3 - 6*d**4 + 20*d**3 - 88*d**2/3 + 16*d = 0.
0, 2, 3
Factor 4*h**3/5 + 48*h**2/5.
4*h**2*(h + 12)/5
Factor -5*z**5/4 + 15*z**3/2 - 10*z**2 + 15*z/4.
-5*z*(z - 1)**3*(z + 3)/4
Let -4*a**5 - 48*a**4 - 88*a**3 + 336*a**2 - 196*a = 0. What is a?
-7, 0, 1
Factor -m**3 - 21*m**2 + 45*m - 23.
-(m - 1)**2*(m + 23)
Determine b so that 4225*b**2/6 + 260*b/3 + 8/3 = 0.
-4/65
Determine z so that -z**2 - 23*z = 0.
-23, 0
Factor 4*a**3/3 - 20*a**2 - 24*a + 128/3.
4*(a - 16)*(a - 1)*(a + 2)/3
Find j, given that -2*j**4/7 - 22*j**3/7 + 6*j**2/7 + 62*j/7 - 44/7 = 0.
-11, -2, 1
Let o**5/7 + 2*o**4 - 52*o**3/7 - 2*o**2 + 51*o/7 = 0. Calculate o.
-17, -1, 0, 1, 3
Factor -35*p**2 - 170*p - 120.
-5*(p + 4)*(7*p + 6)
Suppose -2*r**3/9 - 286*r**2/3 + 860*r/9 = 0. Calculate r.
-430, 0, 1
Factor 2*x**2/7 - 438*x/7 + 124.
2*(x - 217)*(x - 2)/7
Suppose 54*g**5/13 + 530*g**4/13 + 332*g**3/13 - 620*g**2/13 - 386*g/13 + 90/13 = 0. What is g?
-9, -1, 5/27, 1
Factor -2*n**2/5 + 4*n + 112/5.
-2*(n - 14)*(n + 4)/5
Find w such that -3*w**2 + 54*w = 0.
0, 18
Factor -g**3/5 + g/5.
-g*(g - 1)*(g + 1)/5
Factor -5*x**3 - 520*x**2 - 14025*x - 26010.
-5*(x + 2)*(x + 51)**2
Factor h**4/3 - 4*h**3/3 + 2*h**2/3 + 4*h/3 - 1.
(h - 3)*(h - 1)**2*(h + 1)/3
Factor o**2/3 - 25*o/3 + 52.
(o - 13)*(o - 12)/3
Let 4*i**4/3 - 112*i**3/3 + 188*i**2 - 808*i/3 + 352/3 = 0. Calculate i.
1, 4, 22
Factor -9*t**2 - 84*t + 60.
-3*(t + 10)*(3*t - 2)
Factor d**2/4 + 35*d/2 + 124.
(d + 8)*(d + 62)/4
Determine k so that 3*k**2 + 399*k - 402 = 0.
-134, 1
Let -5*j**2 + 55*j - 50 = 0. What is j?
1, 10
Factor -t**2 - 40*t + 176.
-(t - 4)*(t + 44)
Determine p so that 2*p**5 + 82*p**4 - 354*p**3 + 270*p**2 = 0.
-45, 0, 1, 3
Solve 5*o**4 - 245*o**3 - 15*o**2 + 725*o + 490 = 0 for o.
-1, 2, 49
Determine d so that 4*d**4 + 560*d**3 + 1100*d**2 - 560*d - 1104 = 0.
-138, -2, -1, 1
Solve 3*z**3 - 321*z**2 + 8745*z - 8427 = 0 for z.
1, 53
What is p in -p**2/6 + 25*p/3 - 16 = 0?
2, 48
Determine u so that 3*u**4 + 18*u**3 - 75*u**2 + 54*u = 0.
-9, 0, 1, 2
Suppose -2*g**3/11 + 694*g**2/11 + 2802*g/11 + 2106/11 = 0. What is g?
-3, -1, 351
Factor -k**2/3 - 14*k/3 + 32/3.
-(k - 2)*(k + 16)/3
Suppose 5*s**4 - 3*s**3/2 - 11*s**2/2 + 3*s/2 + 1/2 = 0. Calculate s.
-1, -1/5, 1/2, 1
What is n in -155*n**4 - 165*n**3 + 300*n**2 + 20*n = 0?
-2, -2/31, 0, 1
Factor m**5 - 4*m**3 + 2*m**2 + 3*m - 2.
(m - 1)**3*(m + 1)*(m + 2)
Suppose -22*n**5/5 + 14*n**4 - 34*n**3/5 - 62*n**2/5 + 56*n/5 - 8/5 = 0. What is n?
-1, 2/11, 1, 2
Determine h so that 7046*h**2 - 219*h - 2 = 0.
-2/271, 1/26
Find a, given that a**5/3 + 26*a**4 + 1361*a**3/3 - 20896*a**2/3 - 179200*a + 557056/3 = 0.
-32, 1, 17
Factor -2*a**5 + 2*a**4 + 2*a**3 - 2*a**2.
-2*a**2*(a - 1)**2*(a + 1)
Suppose -7*d**4/3 + 26*d**3/3 - 9*d**2 + 4*d/3 + 4/3 = 0. Calculate d.
-2/7, 1, 2
Factor -2*l**5 + 2*l**4 + 10*l**3 + 6*l**2.
-2*l**2*(l - 3)*(l + 1)**2
Determine p so that 98*p**5 - 504*p**4 + 396*p**3