?
-2, -1, 8
Let -g**2/2 + 874*g + 1749/2 = 0. What is g?
-1, 1749
Factor 5*w**3 + 35*w**2 + 70*w + 40.
5*(w + 1)*(w + 2)*(w + 4)
Factor -k**2/2 + 185*k - 34225/2.
-(k - 185)**2/2
Find w, given that -2*w**4 + 732*w**3 + 738*w**2 - 1468*w = 0.
-2, 0, 1, 367
Determine d so that d**3/3 + 23*d**2/3 - 76*d/3 + 52/3 = 0.
-26, 1, 2
Let g**4/6 - 7*g**3/3 - 26*g**2/3 + 7*g/3 + 17/2 = 0. Calculate g.
-3, -1, 1, 17
Find j, given that j**3/3 - 199*j**2/3 + 66*j = 0.
0, 1, 198
Solve -5*g**4 + 70*g**3 - 160*g**2 - 640*g = 0.
-2, 0, 8
Determine o, given that -18*o**5 + 300*o**4 + 436*o**3 - 64*o**2 - 146*o + 36 = 0.
-1, 1/3, 18
Factor 2*b**3/19 - 18*b**2/19 - 44*b/19 + 240/19.
2*(b - 10)*(b - 3)*(b + 4)/19
Find a, given that a**5/4 - a**4 - 3*a**3/4 + 5*a**2/2 + 2*a = 0.
-1, 0, 2, 4
Factor 5*o**2 + 430*o + 1245.
5*(o + 3)*(o + 83)
Solve 2*q**3/17 + 14*q**2/17 + 20*q/17 = 0 for q.
-5, -2, 0
Find y such that 35*y**4/4 + 135*y**3/2 - 3545*y**2/4 - 6840*y + 2025 = 0.
-9, 2/7, 10
Determine b, given that -40*b**2 + 78*b + 4 = 0.
-1/20, 2
Solve -6*q**3 - 8*q**2 - 2*q = 0.
-1, -1/3, 0
Factor 5*u**4 - 25*u**3 - 30*u**2.
5*u**2*(u - 6)*(u + 1)
Factor -3*p**3/5 + 36*p**2/5 + 3*p/5 - 36/5.
-3*(p - 12)*(p - 1)*(p + 1)/5
Factor 2*w**4 + 38*w**3 + 208*w**2 + 352*w.
2*w*(w + 4)**2*(w + 11)
Factor f**4/4 - 5*f**3/2 + 3*f**2 + 29*f/2 + 35/4.
(f - 7)*(f - 5)*(f + 1)**2/4
Suppose 6*y**4/7 - 164*y**3/7 + 486*y**2/7 - 144*y/7 = 0. What is y?
0, 1/3, 3, 24
Factor m**3/3 + 18*m**2 - 49*m - 1960/3.
(m - 7)*(m + 5)*(m + 56)/3
Factor s**2/5 - 20*s - 101/5.
(s - 101)*(s + 1)/5
Determine h so that -2*h**2 - 340*h - 14450 = 0.
-85
Let -2*j**5/3 - 2*j**4/3 + 14*j**3 - 94*j**2/3 + 80*j/3 - 8 = 0. Calculate j.
-6, 1, 2
Factor i**4/2 - i**3 - 7*i**2/2 - 2*i.
i*(i - 4)*(i + 1)**2/2
Let 2*b**3/11 + 1240*b**2/11 + 3706*b/11 + 2468/11 = 0. Calculate b.
-617, -2, -1
Factor -2*w**3/13 - 224*w**2/13 - 34*w - 220/13.
-2*(w + 1)**2*(w + 110)/13
Factor -o**3 + 1170*o**2 + 1171*o.
-o*(o - 1171)*(o + 1)
Find j such that -j**2 - 133*j + 408 = 0.
-136, 3
Solve -4*a**5 + 24*a**4 - 33*a**3 - 19*a**2 + 33*a - 9 = 0.
-1, 1/2, 3
Let -5*k**3/2 + 20*k**2 - 35*k/2 = 0. What is k?
0, 1, 7
Suppose w**2/3 - 16*w/3 + 28/3 = 0. Calculate w.
2, 14
Factor 7*m**4/3 + 23*m**3/3 + 2*m**2.
m**2*(m + 3)*(7*m + 2)/3
What is f in 3*f**2 - 36*f + 33 = 0?
1, 11
Let x**2/2 + 15*x - 31/2 = 0. What is x?
-31, 1
Factor 2*n**5/5 - 48*n**4/5 - 10*n**3.
2*n**3*(n - 25)*(n + 1)/5
Solve -155*o**3 + 1234*o**2 + 48*o = 0.
-6/155, 0, 8
Factor 2*s**2 - 1976*s + 488072.
2*(s - 494)**2
Find s, given that 3*s**2/7 - 57*s/7 - 990/7 = 0.
-11, 30
Factor 35*z**3 - 90*z**2 + 75*z - 20.
5*(z - 1)**2*(7*z - 4)
Factor 11*b**3 + 2235*b**2 + 4828*b + 804.
(b + 2)*(b + 201)*(11*b + 2)
Let 4*q**2 + 312*q - 6460 = 0. What is q?
-95, 17
Determine j, given that -2*j**3 - 7116*j**2 - 8439576*j - 3336445712 = 0.
-1186
Factor -6*f**2/11 - 122*f/11 - 312/11.
-2*(f + 3)*(3*f + 52)/11
Suppose -4*g**5 - 33*g**4 + 28*g**3 + 9*g**2 = 0. Calculate g.
-9, -1/4, 0, 1
Factor -5*w**4 - 635*w**3 + 2605*w**2 - 1965*w.
-5*w*(w - 3)*(w - 1)*(w + 131)
Find m, given that -44*m**2 + 1324*m - 1280 = 0.
1, 320/11
Factor -2*u**4/11 + 12*u**3/11 - 16*u**2/11.
-2*u**2*(u - 4)*(u - 2)/11
What is t in 10*t**3 - 304*t**2 - 186*t = 0?
-3/5, 0, 31
Solve f**2 + 8*f - 20 = 0 for f.
-10, 2
Determine f, given that 112*f**3/5 + 892*f**2/5 - 8*f - 64/5 = 0.
-8, -1/4, 2/7
Factor -3*i**4 - 123*i**3 + 3*i**2 + 123*i.
-3*i*(i - 1)*(i + 1)*(i + 41)
Factor 6*d**3 - 141*d**2 - 252*d + 675.
3*(d - 25)*(d + 3)*(2*d - 3)
Let 5*o**5/3 + 65*o**4/3 + 90*o**3 + 310*o**2/3 - 275*o/3 - 125 = 0. Calculate o.
-5, -3, -1, 1
Factor -2*s**3/3 - 22*s**2/3 - 52*s/3 - 32/3.
-2*(s + 1)*(s + 2)*(s + 8)/3
Factor 2*g**3/3 - 332*g**2/9 + 4480*g/9 + 3136/9.
2*(g - 28)**2*(3*g + 2)/9
Factor -z**2/2 + 270*z + 1629/2.
-(z - 543)*(z + 3)/2
Suppose -h**4/4 + 54*h**3 + 111*h**2/2 - 272*h + 651/4 = 0. What is h?
-3, 1, 217
Factor 2*w**4/9 - 4*w**3/3 + 8*w**2/9 + 4*w/3 - 10/9.
2*(w - 5)*(w - 1)**2*(w + 1)/9
Determine p, given that -p**4 - 97*p**3 - 273*p**2 + 873*p + 2538 = 0.
-94, -3, 3
Solve -k**3 - 62*k**2 - 121*k - 60 = 0 for k.
-60, -1
Factor t**3 + 42*t**2 + 81*t + 40.
(t + 1)**2*(t + 40)
Factor -3*d**4/4 + 195*d**3/4 - 816*d**2 + 768*d.
-3*d*(d - 32)**2*(d - 1)/4
What is d in -d**5/2 - 5*d**4/2 - d**3 + 7*d**2 + 3*d/2 - 9/2 = 0?
-3, -1, 1
Factor k**2/5 + 8*k/5 + 7/5.
(k + 1)*(k + 7)/5
Find k, given that 2*k**5/11 - 2*k**4 + 50*k**3/11 - 10*k**2/11 - 52*k/11 + 32/11 = 0.
-1, 1, 2, 8
Determine q, given that 169*q**2 + 5044*q + 37636 = 0.
-194/13
Solve -r**4/4 - 32*r**3 - 2453*r**2/4 - 6413*r/2 = 0 for r.
-106, -11, 0
Solve 3*v**3 - 12*v**2 - 105*v/4 + 441/4 = 0.
-3, 7/2
Factor -2*m**2/3 - 8768*m/3 - 9609728/3.
-2*(m + 2192)**2/3
Suppose 4*j**5 - 61*j**4 + 315*j**3 - 655*j**2 + 481*j - 84 = 0. What is j?
1/4, 1, 3, 4, 7
Factor 2*o**4/15 + 98*o**3/15 + 1408*o**2/15 + 968*o/3.
2*o*(o + 5)*(o + 22)**2/15
Factor 20*x**4 - 24*x**3 + 4*x**2.
4*x**2*(x - 1)*(5*x - 1)
Factor -2*u**5/3 + 10*u**4/3 - 20*u**3/3 + 20*u**2/3 - 10*u/3 + 2/3.
-2*(u - 1)**5/3
Find v such that -v**5/10 + 60*v**4 - 45299*v**3/5 + 17940*v**2 - 89401*v/10 = 0.
0, 1, 299
Suppose -2*z**3/9 - 280*z**2/3 - 838*z/9 = 0. Calculate z.
-419, -1, 0
Let g**5/3 + 16*g**4/3 - 13*g**3 - 50*g**2/3 + 76*g/3 + 24 = 0. What is g?
-18, -1, 2
Let q**3/2 + 13*q**2/6 - 5*q/3 = 0. What is q?
-5, 0, 2/3
Factor -a**3/5 + 17*a**2/5 + 38*a/5.
-a*(a - 19)*(a + 2)/5
Factor -2*i**3/5 + 3124*i**2/5 - 244608*i + 486720.
-2*(i - 780)**2*(i - 2)/5
Factor -r**2/3 - 13*r/3 - 4.
-(r + 1)*(r + 12)/3
Suppose 211*k**3/4 - 581*k**2 + 33*k/4 = 0. Calculate k.
0, 3/211, 11
Solve -3*p**5/4 + 3*p**3 + 3*p**2/2 - 9*p/4 - 3/2 = 0 for p.
-1, 1, 2
Let 6*r**5/7 - 272*r**4/7 - 192*r**3/7 + 52*r**2 + 186*r/7 - 92/7 = 0. Calculate r.
-1, 1/3, 1, 46
Factor 2*i**4 - 22*i**3 + 76*i**2 - 104*i + 48.
2*(i - 6)*(i - 2)**2*(i - 1)
Factor -x**4/4 - 29*x**3/4 + 3*x**2/4 + 89*x/4 + 29/2.
-(x - 2)*(x + 1)**2*(x + 29)/4
Solve -w**3/6 - 647*w**2/6 - 52808*w/3 - 51842 = 0.
-322, -3
Let 2*r**2/11 + 26*r/11 + 4 = 0. Calculate r.
-11, -2
Solve 2*l**2/3 + 6*l - 60 = 0.
-15, 6
Let -24*y**2 + 25*y - 1 = 0. Calculate y.
1/24, 1
Determine t so that t**2/6 - 34*t/3 + 80 = 0.
8, 60
Let -2*n**5/5 - 2*n**4/5 + 28*n**3/5 - 8*n**2/5 - 16*n + 64/5 = 0. What is n?
-4, -2, 1, 2
Determine o so that 4*o**5/3 - 16*o**4 + 124*o**3/3 + 16*o**2 - 128*o/3 = 0.
-1, 0, 1, 4, 8
What is c in -c**4/3 + 74*c**3/3 - 545*c**2/3 + 1132*c/3 - 220 = 0?
1, 2, 5, 66
Factor -2*r**3/3 + 194*r**2/3 - 4982*r/3 + 4418.
-2*(r - 47)**2*(r - 3)/3
Factor 5*f**5 + 761*f**4 - 3056*f**3/5 + 612*f**2/5.
f**2*(f + 153)*(5*f - 2)**2/5
Solve -3*o**5 - 3*o**4 + 120*o**3 - 348*o**2 + 288*o = 0.
-8, 0, 2, 3
Solve -5*h**3 - 15*h**2 + 65*h + 75 = 0.
-5, -1, 3
Determine u, given that 38*u**5/5 + 604*u**4/5 + 1912*u**3/5 + 1616*u**2/5 - 192*u/5 = 0.
-12, -2, 0, 2/19
Find i such that -4*i**5/7 - 292*i**4/7 + 12*i**3/7 + 124*i**2 - 584*i/7 = 0.
-73, -2, 0, 1
Solve -535*t**3 - 10*t**2 = 0 for t.
-2/107, 0
Suppose -8*z**5 + 110*z**4 - 452*z**3 + 456*z**2 + 144*z = 0. What is z?
-1/4, 0, 2, 6
Factor -2*g**3/5 + 24*g**2/5 - 22*g/5.
-2*g*(g - 11)*(g - 1)/5
Factor 2*x**5 + 30*x**4 + 28*x**3.
2*x**3*(x + 1)*(x + 14)
Suppose 3*w**2 + 260*w + 172 = 0. What is w?
-86, -2/3
Solve 3*o**5 + 48*o**4 + 183*o**3 - 150*o**2 - 672*o - 384 = 0.
-8, -1, 2
Factor 3*x**3/7 - 150*x**2/7 + 300*x - 9000/7.
3*(x - 30)*(x - 10)**2/7
Determine h, given that -4*h**3 - 10*h**2 + 8*h + 6 = 0.
-3, -1/2, 1
Factor -p**2/9 + 86*p/3 + 87.
-(p - 261)*(p + 3)/9
Factor o**5 + 5*o**4 + 3*o**3 - 5*o**2 - 4*o.
o*(o - 1)*(o + 1)**2*(o + 4)
Solve -2*i**2/5 + 64*i/5 - 384/5 = 0 for i.
8, 24
Suppose -2*p**5/7 + 10*p**4/7 - 40*p**2/7 + 32*p/7 = 0. Calculate p.
-2, 0, 1, 2, 4
Find k such that k**4/4 + 11*k**3 - 225*k**2/2 + 351*k - 1431/4 = 0.
-53, 3
Find m such that -3*m**2/7 + 33*m + 474/7 = 0.
-2, 79
Let 3*g**3 + 165*g**2 - 534*g - 696 = 0. Calculate g.
-58, -1, 4
Factor -k**2/10 + 292*k/5.
-k*(k - 584)/10
What is r in -4*r**3 - 120*r**2 - 332*r - 216 = 0?
-27, -2, -1
Suppose -3*v**3/2 - 1581*v**2/2 - 103752*v + 104544 = 0. What is v?
-264, 1
Determine d, given that 192*d**2 + 336*d + 147 = 0.
-7/8
Factor -3*u**4 + 417*u**3 - 1548