Factor 2*v**3 + 10*v**2 + 8*v.
2*v*(v + 1)*(v + 4)
Let 3*u**2 - 45*u - 102 = 0. What is u?
-2, 17
Factor -2*d**3/9 - 16*d**2/9.
-2*d**2*(d + 8)/9
What is w in 2*w**4/5 - 56*w**3/5 + 286*w**2/5 - 496*w/5 + 264/5 = 0?
1, 2, 3, 22
Suppose -32*p**3 - 44*p**2 - 14*p = 0. Calculate p.
-7/8, -1/2, 0
Let -2*s**4/11 + 52*s**3/11 - 170*s**2/11 - 168*s/11 + 72 = 0. Calculate s.
-2, 3, 22
Factor 2*u**3/15 + 178*u**2/5 - 658*u/3 - 1274/5.
2*(u - 7)*(u + 1)*(u + 273)/15
Let -4*l**5/7 + 4*l**4/7 + 60*l**3/7 - 4*l**2/7 - 152*l/7 - 96/7 = 0. Calculate l.
-3, -1, 2, 4
Suppose l**3/2 - 123*l**2/2 - 63*l + 124 = 0. Calculate l.
-2, 1, 124
Find m such that 3*m**5/7 + 3*m**4/7 - 9*m**3/7 - 3*m**2/7 + 6*m/7 = 0.
-2, -1, 0, 1
Factor k**3/5 - 7*k**2/5 + 36/5.
(k - 6)*(k - 3)*(k + 2)/5
Factor -a**3/8 + 5*a**2/4 + 23*a/8 + 3/2.
-(a - 12)*(a + 1)**2/8
Factor -y**3/5 + 18*y**2/5 + 8*y.
-y*(y - 20)*(y + 2)/5
What is k in 3*k**2 - 819*k + 4020 = 0?
5, 268
Factor -f**5 + 587*f**4/4 + 147*f**3/4.
-f**3*(f - 147)*(4*f + 1)/4
Determine w, given that 2*w**5/17 - 24*w**4/17 - 2*w**3/17 + 24*w**2/17 = 0.
-1, 0, 1, 12
Factor g**5 - 5*g**4 - 14*g**3 + 36*g**2 + 72*g.
g*(g - 6)*(g - 3)*(g + 2)**2
Suppose -a**2/2 - 100*a - 199/2 = 0. Calculate a.
-199, -1
Find t, given that 10*t**4/9 - 152*t**3/9 + 154*t**2/3 = 0.
0, 21/5, 11
Factor 2*m**4/9 - 4*m**3/9 - 2*m**2/3 + 16*m/9 - 8/9.
2*(m - 2)*(m - 1)**2*(m + 2)/9
Solve c**3 - 132*c**2 - 267*c - 134 = 0 for c.
-1, 134
Suppose -3*x**4/5 + 744*x**3/5 + 9*x**2/5 - 2226*x/5 - 1488/5 = 0. Calculate x.
-1, 2, 248
Factor -2*z**3/15 + 2*z**2/5 - 2*z/5 + 2/15.
-2*(z - 1)**3/15
Determine y, given that -y**3 + 295*y**2 - 583*y - 879 = 0.
-1, 3, 293
Let -x**5/4 + 553*x**4/4 - 18904*x**3 - 57963*x**2 = 0. What is x?
-3, 0, 278
Factor 3*r**2 - 276*r - 1764.
3*(r - 98)*(r + 6)
Let 2*a**3/9 + 50*a**2/9 - 118*a/3 + 62 = 0. What is a?
-31, 3
Determine j, given that -j**3 + 23*j**2 = 0.
0, 23
Suppose 10*g**5/9 - 106*g**4/9 - 764*g**3/9 - 1528*g**2/9 - 1136*g/9 - 256/9 = 0. What is g?
-2, -1, -2/5, 16
Let -14*p**2/9 - 94*p/9 + 136/3 = 0. Calculate p.
-68/7, 3
Factor -3*u**2/2 - 153*u/2 + 1134.
-3*(u - 12)*(u + 63)/2
Let -4*q**2/7 + 1156*q = 0. What is q?
0, 2023
Find d, given that -3*d**2 - 24*d - 36 = 0.
-6, -2
Factor 2*k**4/3 + 94*k**3 + 368*k**2 + 1096*k/3.
2*k*(k + 2)**2*(k + 137)/3
Factor -6*v**3 - 74*v**2 - 272*v/3 - 88/3.
-2*(v + 11)*(3*v + 2)**2/3
Factor 2*i**2 - 14*i + 20.
2*(i - 5)*(i - 2)
Factor i**2/6 + 122*i/3 + 81/2.
(i + 1)*(i + 243)/6
Find d such that 981*d**3 + 2*d**2 - 981*d - 2 = 0.
-1, -2/981, 1
Find k, given that -53*k**4/3 - 1270*k**3/3 + 101*k**2/3 + 1270*k/3 - 16 = 0.
-24, -1, 2/53, 1
Factor -3*j**5/8 + 39*j**4/8 + 21*j**3/4.
-3*j**3*(j - 14)*(j + 1)/8
What is m in 3*m**3 - 441*m**2 + 21609*m - 352947 = 0?
49
Factor 2*v**4/5 + 8*v**3/5 + 2*v**2/5 - 12*v/5.
2*v*(v - 1)*(v + 2)*(v + 3)/5
Suppose l**4/5 + 3*l**3 + 68*l**2/5 + 12*l - 144/5 = 0. What is l?
-6, -4, 1
Suppose c**3/6 + 28*c**2/3 + 725*c/6 - 841/3 = 0. Calculate c.
-29, 2
Find v such that v**4/4 - 63*v**3/4 - 66*v**2 - 67*v = 0.
-2, 0, 67
What is n in -5*n**3 + 30*n**2 - 45*n + 20 = 0?
1, 4
Factor -2*t**2/11 + 6*t + 216/11.
-2*(t - 36)*(t + 3)/11
Factor -3*i**4/8 + 45*i**3/8 + 51*i**2/4.
-3*i**2*(i - 17)*(i + 2)/8
Find k such that -10*k**2 - 38*k - 28 = 0.
-14/5, -1
Factor t**2/4 + 65*t/4 + 61.
(t + 4)*(t + 61)/4
Factor 5*h**2 + 5635*h - 5640.
5*(h - 1)*(h + 1128)
Suppose 2*w**5/7 - 17*w**4/7 - 9*w**3/7 = 0. Calculate w.
-1/2, 0, 9
Factor -2*u**2/9 - 20*u/9 + 154/3.
-2*(u - 11)*(u + 21)/9
Find r, given that -4*r**2 + 616*r - 23716 = 0.
77
Factor -2*f**4 - 842*f**3.
-2*f**3*(f + 421)
Suppose -3*m**2 - 6*m + 72 = 0. Calculate m.
-6, 4
Factor -v**4/2 + 2*v**3 - 3*v**2/2.
-v**2*(v - 3)*(v - 1)/2
What is p in 2*p**3/5 + 226*p**2/5 + 1254*p - 6498/5 = 0?
-57, 1
Solve -15*u**4 + 24*u**3 - 3*u**2 - 6*u = 0 for u.
-2/5, 0, 1
Factor 2*p**3/9 - 2*p**2 + 16*p/3 - 40/9.
2*(p - 5)*(p - 2)**2/9
Factor 2*k**3 - 70*k**2.
2*k**2*(k - 35)
Factor m**4/6 - 3*m**2/2 + 2*m/3 + 2.
(m - 2)**2*(m + 1)*(m + 3)/6
Solve -5*f**3 - 962*f**2 + 3536*f + 1568 = 0 for f.
-196, -2/5, 4
Factor -3*h**2/8 + 273*h/8 - 135/4.
-3*(h - 90)*(h - 1)/8
Determine w so that 15*w**4 - 2*w**3 = 0.
0, 2/15
Factor c**3/4 + 4*c**2 - 9*c.
c*(c - 2)*(c + 18)/4
Factor 5*g**3 - 535*g**2 + 14575*g - 14045.
5*(g - 53)**2*(g - 1)
Factor 3*q**2/4 - 12.
3*(q - 4)*(q + 4)/4
Suppose -2*j**4/7 - 344*j**3/7 + 696*j**2/7 = 0. Calculate j.
-174, 0, 2
Factor -t**2/5 + 7*t/5 - 6/5.
-(t - 6)*(t - 1)/5
Let 4*c**5 + 4*c**4 - 152*c**3 + 136*c**2 + 148*c - 140 = 0. What is c?
-7, -1, 1, 5
What is m in -45*m**3 - 1810*m**2 - 400*m = 0?
-40, -2/9, 0
Solve -12*x**4 + 208*x**3 - 468*x**2 - 1248*x - 560 = 0.
-1, -2/3, 5, 14
Suppose 2*n**4 + 1752*n**3 + 1750*n**2 = 0. Calculate n.
-875, -1, 0
Let -79*w**5 + 6*w**4 + 237*w**3 + 140*w**2 - 12*w = 0. What is w?
-1, 0, 6/79, 2
Determine g so that g**4/5 - 21*g**3/5 - 81*g**2/5 + 221*g/5 - 24 = 0.
-5, 1, 24
Factor 5*i**5 + 80*i**4 - 2080*i**3 - 19200*i**2 + 288000*i.
5*i*(i - 12)**2*(i + 20)**2
Suppose 3*m**4 + 33*m**3 + 30*m**2 = 0. What is m?
-10, -1, 0
Find f, given that -f**4 + 36*f**3 - 410*f**2 + 1500*f - 1125 = 0.
1, 5, 15
Factor -2*y**3/15 - 26*y**2/15.
-2*y**2*(y + 13)/15
Factor -10*p**4/3 + 178*p**3/3 - 258*p**2 - 54*p.
-2*p*(p - 9)**2*(5*p + 1)/3
What is v in 9*v**3 + 240*v**2 - 87*v - 162 = 0?
-27, -2/3, 1
Solve 2*u**5/9 - 8*u**4/3 - 38*u**3/9 + 212*u**2/3 + 160*u = 0.
-3, 0, 8, 10
Factor 12*x**4 - 36*x**3 + 39*x**2 - 18*x + 3.
3*(x - 1)**2*(2*x - 1)**2
Factor -p**3/4 + 7*p**2 + 245*p/4.
-p*(p - 35)*(p + 7)/4
Determine r, given that -2*r**3/9 + 100*r**2 + 2714*r/9 + 604/3 = 0.
-2, -1, 453
Solve -5*q**5 - 45*q**4 - 75*q**3 - 35*q**2 = 0.
-7, -1, 0
Factor 2*k**5/15 - 16*k**4/15 - 6*k**3/5.
2*k**3*(k - 9)*(k + 1)/15
Find q, given that 2*q**2 + 24*q - 90 = 0.
-15, 3
Factor -1536*s**4 - 192*s**3 + 1080*s**2 + 567*s + 81.
-3*(s - 1)*(8*s + 3)**3
Factor p**2/2 + 313*p + 625/2.
(p + 1)*(p + 625)/2
Determine s, given that 4*s**4 - 408*s**3 + 10404*s**2 = 0.
0, 51
Factor -s**3 + s**2 + 5*s + 3.
-(s - 3)*(s + 1)**2
Determine k so that -3*k**3 - 87*k**2 - 645*k - 561 = 0.
-17, -11, -1
Factor -5*i**3 - 125*i**2 - 440*i - 420.
-5*(i + 2)**2*(i + 21)
Let -l**3 - 257*l**2 - 16891*l - 48387 = 0. What is l?
-127, -3
Solve -2*c**5 + 12*c**4 + 24*c**3 - 176*c**2 + 192*c = 0.
-4, 0, 2, 6
What is q in 2*q**2 - 10396*q + 13509602 = 0?
2599
Determine o so that -58*o**3/13 - 4*o**2/13 = 0.
-2/29, 0
Factor 4*k**3 - 196*k**2 + 2156*k - 6860.
4*(k - 35)*(k - 7)**2
What is w in 4*w**2/7 - 64*w + 1792 = 0?
56
What is u in 2*u**4/5 - 18*u**3/5 + 48*u**2/5 - 8*u = 0?
0, 2, 5
Determine r so that -4*r**2 + 28*r = 0.
0, 7
Factor -p**5 + 3*p**4 + 3*p**3 - 7*p**2 - 6*p.
-p*(p - 3)*(p - 2)*(p + 1)**2
Find u such that 3*u**5/7 - 96*u**4/7 + 183*u**3/7 - 90*u**2/7 = 0.
0, 1, 30
Factor -2*h**4 - 160*h**3 - 4224*h**2 - 40960*h - 131072.
-2*(h + 8)**2*(h + 32)**2
Factor 2*w**4/11 - 30*w**3/11 - 6*w**2 - 34*w/11.
2*w*(w - 17)*(w + 1)**2/11
Find t, given that t**5/2 + 20*t**4/3 + 103*t**3/6 + 3*t**2 - 62*t/3 - 20/3 = 0.
-10, -2, -1/3, 1
Factor -2*u**3 - 6*u**2 + 68*u - 96.
-2*(u - 3)*(u - 2)*(u + 8)
Factor 4*u**5 - 4*u**4 - 80*u**3.
4*u**3*(u - 5)*(u + 4)
Solve -n**3 + 2*n**2 + 11*n - 12 = 0 for n.
-3, 1, 4
Factor 9*a**4/10 - 8*a**3/5 - 2*a**2/5.
a**2*(a - 2)*(9*a + 2)/10
Find a such that 32*a**3/9 - 352*a**2/3 + 938*a + 4489/9 = 0.
-1/2, 67/4
Solve -2*n**3 + 12*n**2 - 16*n = 0.
0, 2, 4
Factor 52*h**3 - 40*h**2 - 116*h - 24.
4*(h - 2)*(h + 1)*(13*h + 3)
Find j such that -3*j**2/5 - 19506*j/5 - 31707003/5 = 0.
-3251
Find u such that -3*u**2/4 - 21*u/8 + 45/8 = 0.
-5, 3/2
Solve f**4 + 10*f**3 - 39*f**2 - 496*f - 448 = 0 for f.
-8, -1, 7
Solve c**5/6 - 34*c**4/3 + 719*c**3/3 - 4702*c**2/3 + 14761*c/6 - 3364/3 = 0.
1, 8, 29
Suppose w**3/2 - 141*w**2/2 - w/2 + 141/2 = 0. What is w?
-1, 1, 141
Determine v so that -4*v**3 + 72*v**2 - 204*v - 280 = 0.
-1, 5, 14
Find m, given that -m**5 + 2*m**4 + 23*m**3 + 12*m**2 - 36*m = 0.
-3, -2, 0, 1, 6
Factor -s**2/5 + 2*s + 11/5.
-(s - 11)*(s + 1)/5
Factor 4*j**2 - 976*j + 59536.
4*(j - 122)**2
Factor -3*i**2/2 - 108*i + 219/2.
-3*(i - 1)*(i + 73)/2
Solve 7*q**5/5 + 184*q**4/5 + 275*q**3 + 2506*q**2/5 + 158