- 218886.
-3*(f - 382)**2/2
Suppose -a**4/2 + 11*a**3/8 - 5*a**2/8 - a/4 = 0. Calculate a.
-1/4, 0, 1, 2
Factor -d**3/2 - 197*d**2/2 + 397*d/2 - 199/2.
-(d - 1)**2*(d + 199)/2
Suppose -h**2 - 324*h - 26244 = 0. Calculate h.
-162
Suppose -3*w**4 + 162*w**3 - 2487*w**2 + 8100*w - 7500 = 0. What is w?
2, 25
Determine y so that 2*y**3/9 - 352*y**2/9 - 3670*y/9 - 3100/3 = 0.
-5, 186
Factor 2*a**2 + 76*a + 722.
2*(a + 19)**2
Determine t so that -t**4/8 + 3*t**3/8 - t**2/8 - 3*t/8 + 1/4 = 0.
-1, 1, 2
Factor m**2/7 - 5*m/7 + 6/7.
(m - 3)*(m - 2)/7
Solve -35*o**5 - 10*o**4 + 70*o**3 + 20*o**2 - 35*o - 10 = 0.
-1, -2/7, 1
Factor r**4 + 5*r**3 + 3*r**2 - 9*r.
r*(r - 1)*(r + 3)**2
Factor -4*m**2 - 1716*m - 3416.
-4*(m + 2)*(m + 427)
Suppose 21*z**5/5 + 12*z**4/5 - 72*z**3/5 + 6*z**2/5 + 51*z/5 - 18/5 = 0. What is z?
-2, -1, 3/7, 1
Suppose -2*t**5/15 + 58*t**4/15 + 86*t**3/5 + 206*t**2/15 - 256*t/15 - 88/5 = 0. Calculate t.
-2, -1, 1, 33
Factor -u**3/9 + 836*u**2/9 + 1679*u/9 - 838/3.
-(u - 838)*(u - 1)*(u + 3)/9
Suppose -p**5/3 + 83*p**4/3 - 54*p**3 = 0. Calculate p.
0, 2, 81
What is m in 4*m**4 - 232*m**3 + 224*m**2 + 232*m - 228 = 0?
-1, 1, 57
Solve -k**4 - 13*k**3 - 32*k**2 - 20*k = 0.
-10, -2, -1, 0
Suppose 3*k**4 - 2397*k**3 - 2415*k**2 + 12009*k - 7200 = 0. Calculate k.
-3, 1, 800
Let -5*j**5 + 120*j**4 - 1150*j**3 + 5500*j**2 - 13125*j + 12500 = 0. Calculate j.
4, 5
Factor 5*t**3 + 45*t**2 + 120*t + 100.
5*(t + 2)**2*(t + 5)
Determine c, given that -2*c**5/7 + 198*c**4/7 - 5374*c**3/7 + 23602*c**2/7 - 36096*c/7 + 17672/7 = 0.
1, 2, 47
Let 5*h**2 - 16160*h + 13057280 = 0. Calculate h.
1616
Factor -3*f**2 + 330*f + 333.
-3*(f - 111)*(f + 1)
Suppose 4*h**5 + 16*h**4 - 40*h**3 - 256*h**2 - 348*h - 144 = 0. Calculate h.
-3, -1, 4
Factor -8464*g**3 + 7360*g**2 + 1068*g + 36.
-4*(g - 1)*(46*g + 3)**2
Find x such that x**2/5 + 166*x/5 + 6889/5 = 0.
-83
Factor 3*z**2 - 1722*z + 247107.
3*(z - 287)**2
Factor -270*m**3/7 + 1076*m**2/7 - 152*m - 16/7.
-2*(m - 2)**2*(135*m + 2)/7
Solve -5*i**4 - 265*i**3 + 60*i**2 + 3100*i - 4240 = 0.
-53, -4, 2
Find u, given that -4*u**5/7 + 236*u**4/7 + 6996*u**3/7 - 22364*u**2/7 + 22816*u/7 - 7680/7 = 0.
-24, 1, 80
Factor -3*h**2 + 2556*h.
-3*h*(h - 852)
Factor -6*p**4/7 + 166*p**3/7 - 1122*p**2/7 - 3630*p/7 + 42592/7.
-2*(p - 11)**3*(3*p + 16)/7
Suppose -4*s**2 + 36*s + 88 = 0. What is s?
-2, 11
Factor -4*n**4 + 208*n**3 - 972*n**2 + 1520*n - 752.
-4*(n - 47)*(n - 2)**2*(n - 1)
Solve 2*x**5/3 - 8*x**4/3 - 6*x**3 + 32*x**2/3 + 40*x/3 = 0.
-2, -1, 0, 2, 5
Factor 2*x**2/5 - 358*x + 1788/5.
2*(x - 894)*(x - 1)/5
Suppose 3*z**3 + 3849*z**2/7 - 2766*z/7 - 1104/7 = 0. What is z?
-184, -2/7, 1
Determine h, given that h**4/5 + h**3 - 6*h**2/5 = 0.
-6, 0, 1
Factor 14*i**4 - 136*i**3 + 352*i**2 - 224*i - 96.
2*(i - 6)*(i - 2)**2*(7*i + 2)
Let x**4/7 - 9*x**3/7 + 15*x**2/7 - x = 0. What is x?
0, 1, 7
What is h in -3*h**2/5 + 84*h - 1233/5 = 0?
3, 137
Find s such that -s**5/4 + 13*s**4/8 + 3*s**3 + s**2/8 - s = 0.
-1, 0, 1/2, 8
What is k in -8*k**5/15 - 152*k**4/15 + 2*k**3/5 + 116*k**2/15 + 38*k/15 = 0?
-19, -1/2, 0, 1
Suppose -200*w**5/3 + 420*w**4 - 2512*w**3/3 + 2156*w**2/3 - 272*w + 112/3 = 0. Calculate w.
2/5, 1, 7/2
Find x such that 2*x**5/3 - 8*x**4/9 - 14*x**3/9 + 8*x**2/9 + 8*x/9 = 0.
-1, -2/3, 0, 1, 2
Factor -2*l**2 - 162*l - 160.
-2*(l + 1)*(l + 80)
Factor -3*f**4/2 + 267*f**3/2 - 2655*f**2.
-3*f**2*(f - 59)*(f - 30)/2
Suppose -5*a**4 + 50*a**3 + 415*a**2 - 540*a - 900 = 0. Calculate a.
-6, -1, 2, 15
Factor -l**3 - 11*l**2 + 301*l - 1225.
-(l - 7)**2*(l + 25)
Let -4*p**5 - 20*p**4 + 260*p**3 - 140*p**2 - 976*p + 880 = 0. Calculate p.
-11, -2, 1, 2, 5
Factor -k**4/9 - 10*k**3/3 - 3*k**2 + 58*k/9.
-k*(k - 1)*(k + 2)*(k + 29)/9
Factor 2*o**4/15 + 232*o**3/15 + 2318*o**2/5 + 4332*o/5.
2*o*(o + 2)*(o + 57)**2/15
Factor 2*v**3 - 92*v**2 - 190*v - 96.
2*(v - 48)*(v + 1)**2
Let 4*k**4 + 64*k**3 + 288*k**2 + 512*k + 320 = 0. What is k?
-10, -2
Factor -2*z**2/11 - 256*z/11 - 8192/11.
-2*(z + 64)**2/11
Factor -2*p**3 - 18*p**2 - 52*p - 48.
-2*(p + 2)*(p + 3)*(p + 4)
Factor i**3/5 + 82*i**2/5 + 1833*i/5 + 6084/5.
(i + 4)*(i + 39)**2/5
Let 10*f**3 + 84*f**2 + 102*f + 28 = 0. Calculate f.
-7, -1, -2/5
Factor 2*c**3 + 350*c**2/3 - 968*c/3 + 488/3.
2*(c - 2)*(c + 61)*(3*c - 2)/3
Solve -d**5/4 - d**4/4 + 3*d**3/2 + 7*d**2/2 + 11*d/4 + 3/4 = 0.
-1, 3
Factor -5*i**3 - 30*i**2 + 75*i - 40.
-5*(i - 1)**2*(i + 8)
Solve -2*s**2/15 - 598*s/3 + 2992/15 = 0 for s.
-1496, 1
Let 4*z**5 + 4*z**4 - 8*z**3 - 8*z**2 + 4*z + 4 = 0. What is z?
-1, 1
Factor -7*o**2 + 137*o + 60.
-(o - 20)*(7*o + 3)
Find g, given that 3*g**2/5 - 81*g/5 = 0.
0, 27
Factor 4*b**4 + 132*b**3 - 611*b**2 - 708*b - 185.
(b - 5)*(b + 37)*(2*b + 1)**2
Find w such that -50*w**4 + 3690*w**3 - 6528*w**2 + 3464*w - 576 = 0.
2/5, 1, 72
Factor -5*c**3 + 180*c**2 + 185*c.
-5*c*(c - 37)*(c + 1)
Factor 4*k**3 + 392*k**2.
4*k**2*(k + 98)
Factor 3*w**4 - 87*w**3 + 789*w**2 - 2865*w + 3600.
3*(w - 16)*(w - 5)**2*(w - 3)
Factor -2*z**2 + 64*z/7 + 30/7.
-2*(z - 5)*(7*z + 3)/7
Determine f, given that 3*f**4/4 - 7*f**3/4 - 33*f**2/4 + 63*f/4 + 27/2 = 0.
-3, -2/3, 3
Factor -3*z**3 + 21*z**2 - 48*z + 36.
-3*(z - 3)*(z - 2)**2
Factor -3*g**2/5 + 858*g/5 - 61347/5.
-3*(g - 143)**2/5
Factor -2*b**2/7 - 8872*b/7 - 9839048/7.
-2*(b + 2218)**2/7
Let 16*d**4/3 + 404*d**3/3 + 452*d**2/3 - 680*d/3 - 64 = 0. Calculate d.
-24, -2, -1/4, 1
Suppose -7*b**3/3 - 18*b**2 - 68*b/3 + 8 = 0. What is b?
-6, -2, 2/7
Factor 1690*p**3 - 1898*p**2 + 672*p - 72.
2*(5*p - 1)*(13*p - 6)**2
Factor 5*u**4 - 45*u**3 + 35*u**2 + 45*u - 40.
5*(u - 8)*(u - 1)**2*(u + 1)
Find f such that -5*f**2 - 270*f - 265 = 0.
-53, -1
Factor 5*u**3 + 8955*u**2 + 5346135*u + 1063880865.
5*(u + 597)**3
Factor -4*y**3/3 - 161*y**2/3 + 124*y/3 + 41/3.
-(y - 1)*(y + 41)*(4*y + 1)/3
Suppose 2*x**2/13 + 4188*x/13 - 4190/13 = 0. Calculate x.
-2095, 1
Factor q**2/4 - 7*q/4 + 3.
(q - 4)*(q - 3)/4
Factor 4*m**4 + 4056*m**3 + 1370928*m**2 + 154457888*m.
4*m*(m + 338)**3
Factor y**3/4 + 7*y**2/2.
y**2*(y + 14)/4
Factor -4*p**2 + 1476*p + 1480.
-4*(p - 370)*(p + 1)
Suppose -2*s**4 + 230*s**3/7 - 96*s**2/7 = 0. Calculate s.
0, 3/7, 16
Determine c, given that -5*c**5/3 + 15*c**4 + 170*c**3/3 - 730*c**2/3 + 265*c - 275/3 = 0.
-5, 1, 11
Suppose 5*j**2 + 480*j + 11520 = 0. Calculate j.
-48
Factor 2*z**3/13 - 74*z**2/13 - 116*z/13 + 1520/13.
2*(z - 38)*(z - 4)*(z + 5)/13
Factor -5*l**3 - 35*l**2 - 20*l + 60.
-5*(l - 1)*(l + 2)*(l + 6)
Factor x**4/5 + 93*x**3/5 - 99*x**2/5 - 473*x/5 - 282/5.
(x - 3)*(x + 1)**2*(x + 94)/5
What is p in 2*p**5 + 48*p**4 + 402*p**3 + 1420*p**2 + 2232*p + 1296 = 0?
-9, -2
Factor -2*t**3/7 + 12*t**2/7 - 18*t/7.
-2*t*(t - 3)**2/7
Let k**4 + 9*k**3 + 7*k**2 - 9*k - 8 = 0. Calculate k.
-8, -1, 1
What is n in 22*n**4/9 + 200*n**3/9 + 478*n**2/9 + 148*n/3 + 16 = 0?
-6, -12/11, -1
Let -2*n**2/11 - 402*n/11 - 2340/11 = 0. What is n?
-195, -6
Factor -l**4/2 + 14*l**3 - 11*l**2 - 66*l - 81/2.
-(l - 27)*(l - 3)*(l + 1)**2/2
Solve -25*y**2 + 1940*y - 3780 = 0.
2, 378/5
Determine n so that -n**5/3 - 1094*n**4/3 - 448264*n**3/3 - 81382384*n**2/3 - 5471839184*n/3 + 11272811552/3 = 0.
-274, 2
Factor -o**2 - 113*o - 1122.
-(o + 11)*(o + 102)
Factor 3*b**2/2 - 13314*b + 29543766.
3*(b - 4438)**2/2
Factor -3*o**2/8 + 7*o/8 - 1/4.
-(o - 2)*(3*o - 1)/8
What is l in 3*l**5 + 6*l**4 + 3*l**3 = 0?
-1, 0
Find t such that -t**4 + 132*t**3 - 6534*t**2 + 143748*t - 1185921 = 0.
33
Determine m, given that -m**2/5 + 123*m/5 + 50 = 0.
-2, 125
What is c in -2*c**5/7 + 118*c**4/7 - 2388*c**3/7 + 17708*c**2/7 - 20938*c/7 - 41154/7 = 0?
-1, 3, 19
Find l, given that -833*l**4 + 455*l**3 + 366*l**2 + 20*l - 8 = 0.
-2/7, 2/17, 1
Factor 665*y**3 + 11315*y**2 - 11800*y - 180.
5*(y - 1)*(y + 18)*(133*y + 2)
Factor -10*d**2/3 - 2*d/9.
-2*d*(15*d + 1)/9
Solve -50*w**3 - 6860*w**2 + 5512*w - 1104 = 0.
-138, 2/5
Determine v, given that 2*v**2/13 - 18*v/13 - 20/13 = 0.
-1, 10
Let x**4/3 - 7*x**3/3 + 4*x**2 = 0. What is x?
0, 3, 4
Find u such that -u**5/4 + 21*u**4/4 - 51*u**3/2 + 47*u**2 - 30*u = 0.
0, 2, 15
Determine p so that 2*p**4/3 + 28*p**3/3 + 64*p**2/3 - 28*p/3 - 22 = 0.
-11, -3, -1, 1
Factor -64*i**3 - 360*i**2 - 1833*i/4 - 169.
-(i + 4)*(16*i + 13)**2/4
Suppose -5*z**4 - 