r -4*o**3 - 8*o**2 - 4*o.
-4*o*(o + 1)**2
Find h such that 2*h**4/7 + 20*h**3/7 + 38*h**2/7 - 60*h/7 = 0.
-6, -5, 0, 1
Solve 4*b**3/3 + 5*b**2/3 + b/3 = 0.
-1, -1/4, 0
Determine q, given that -q**2/2 + 5*q - 9/2 = 0.
1, 9
Factor 12*v**3 + 2188*v**2 - 5932*v - 2220.
4*(v - 3)*(v + 185)*(3*v + 1)
Suppose -2*k**3/5 + 156*k**2/5 - 882*k/5 + 1296/5 = 0. Calculate k.
3, 72
Solve 5*h**2 - 705*h - 710 = 0 for h.
-1, 142
Let -4*j**2 - 448*j - 12544 = 0. Calculate j.
-56
Factor -k**3 - 41*k**2 - 352*k + 1452.
-(k - 3)*(k + 22)**2
Factor -2*w**2/15 + 56*w/5 + 344/15.
-2*(w - 86)*(w + 2)/15
Factor h**4/5 + 3*h**3/5 - 3*h**2/5 - 11*h/5 - 6/5.
(h - 2)*(h + 1)**2*(h + 3)/5
Factor -4*b**2 - 76*b - 136.
-4*(b + 2)*(b + 17)
Factor 5*f**3 - 80*f**2 - 275*f - 190.
5*(f - 19)*(f + 1)*(f + 2)
Let -5*s**5 - 240*s**4 = 0. Calculate s.
-48, 0
Find c, given that -2*c**4/15 + 2*c**3/15 + 2*c**2/5 - 2*c/15 - 4/15 = 0.
-1, 1, 2
Factor l**5/2 + 194*l**4 + 25154*l**3 + 1097919*l**2 + 2046843*l/2 - 2146689.
(l - 1)*(l + 2)*(l + 129)**3/2
Let -175*a**5/3 + 610*a**4/3 - 818*a**3/3 + 524*a**2/3 - 53*a + 6 = 0. What is a?
2/7, 3/5, 1
Factor -2*l**2 + 5148*l - 3312738.
-2*(l - 1287)**2
Determine y so that -15*y**4/2 + 111*y**3/2 - 126*y**2 + 102*y - 24 = 0.
2/5, 1, 2, 4
Let 2*z**3/9 + 4*z**2/3 - 182*z/9 = 0. Calculate z.
-13, 0, 7
Suppose -5*f**2/7 + 1017*f/7 - 58 = 0. Calculate f.
2/5, 203
Determine d so that -2*d**3 - 6*d**2 + 2*d + 6 = 0.
-3, -1, 1
Suppose -5*h**4 - 20*h**3 = 0. What is h?
-4, 0
What is v in -27*v**2 - 6*v + 120 = 0?
-20/9, 2
Factor s**4/2 + 67*s**3 + 4489*s**2/2.
s**2*(s + 67)**2/2
Suppose 2*z**4/17 - 8*z**3/17 - 26*z**2/17 + 8*z/17 + 24/17 = 0. Calculate z.
-2, -1, 1, 6
Solve -2*m**3 + 1302*m**2 + 7866*m + 11826 = 0 for m.
-3, 657
Determine p, given that -2*p**2/5 - 1006*p/5 = 0.
-503, 0
Factor -5*h**3 - 4165*h**2 - 16600*h - 16580.
-5*(h + 2)**2*(h + 829)
Solve h**4/6 + 27*h**3/2 + 77*h**2/3 - 54*h - 316/3 = 0.
-79, -2, 2
Suppose 2*x**2 + 1328*x + 220448 = 0. Calculate x.
-332
Let 2*q**4/9 + 34*q**3/9 + 38*q**2/3 + 134*q/9 + 52/9 = 0. Calculate q.
-13, -2, -1
Factor -3*m**3/8 + 3249*m**2/8 - 1172889*m/8 + 141137643/8.
-3*(m - 361)**3/8
What is z in -3*z**5 - 42*z**4 + 9*z**3 + 132*z**2 + 84*z = 0?
-14, -1, 0, 2
What is v in -3*v**2 + 282*v + 285 = 0?
-1, 95
Find y, given that 2*y**2/9 + 86*y/9 + 164/9 = 0.
-41, -2
Let -2*l**4 - 64*l**3 - 186*l**2 + 1036*l - 784 = 0. Calculate l.
-28, -7, 1, 2
Factor k**4 + 39*k**3 + 177*k**2 + 241*k + 102.
(k + 1)**2*(k + 3)*(k + 34)
Suppose 2*n**2/9 + 24*n + 214/9 = 0. What is n?
-107, -1
Factor -20*y**3 - 322728*y**2 - 1301981568*y - 520740992.
-4*(y + 8068)**2*(5*y + 2)
Factor 4*q**2 + 152*q - 320.
4*(q - 2)*(q + 40)
Factor 3*h**4 - 24*h**3 + 69*h**2 - 84*h + 36.
3*(h - 3)*(h - 2)**2*(h - 1)
Let -2*h**4/5 + 16*h**3 - 552*h**2/5 + 1312*h/5 - 1024/5 = 0. What is h?
2, 4, 32
Factor -3*v**2 - 426*v - 15123.
-3*(v + 71)**2
Determine r, given that -2*r**5/5 - 78*r**4/5 - 484*r**3/5 - 1192*r**2/5 - 1296*r/5 - 512/5 = 0.
-32, -2, -1
Factor -5*a**2 + 5*a + 10.
-5*(a - 2)*(a + 1)
Factor 4*d**2 + 2140*d - 4296.
4*(d - 2)*(d + 537)
Factor g**3 + 45*g**2 + 375*g - 3125.
(g - 5)*(g + 25)**2
Find i, given that -5*i**3 + 1240*i**2 - 2460*i = 0.
0, 2, 246
Suppose -p**4 - 74*p**3 - 1125*p**2 + 9200*p - 8000 = 0. Calculate p.
-40, 1, 5
Suppose -3*q**2 - 345*q - 342 = 0. What is q?
-114, -1
Determine m, given that -2*m**3 + 112*m**2 - 110*m = 0.
0, 1, 55
Determine q so that -195*q**3/2 - 3*q**2 = 0.
-2/65, 0
Factor -2*k**3/17 - 94*k**2/17 - 1056*k/17 + 1152/17.
-2*(k - 1)*(k + 24)**2/17
Factor -2*h**2/5 - 444*h + 2222/5.
-2*(h - 1)*(h + 1111)/5
Suppose 2*w**4/5 - 4*w**3/5 - 30*w**2 + 160*w - 200 = 0. What is w?
-10, 2, 5
Find z such that 3*z**5/5 + 513*z**4/5 - 534*z**3/5 - 3096*z**2/5 = 0.
-172, -2, 0, 3
Determine j so that 6*j**2/5 + 1184*j/15 - 88/5 = 0.
-66, 2/9
Factor -5*j**4 - 15*j**3 + 20*j**2.
-5*j**2*(j - 1)*(j + 4)
Factor w**5/6 - 43*w**4/3 + 322*w**3 - 588*w**2.
w**2*(w - 42)**2*(w - 2)/6
Find h such that 35*h**2 - 17645*h + 2520 = 0.
1/7, 504
Solve -8*j**4 - 4*j**3 + 68*j**2 + 4*j - 60 = 0.
-3, -1, 1, 5/2
Suppose 12*o**5/5 - 171*o**4/5 - 162*o**3/5 + 411*o**2/5 - 18*o = 0. What is o?
-2, 0, 1/4, 1, 15
What is s in -20*s**2 + 968*s - 2208 = 0?
12/5, 46
Factor w**3/2 - 23*w**2/2 + 91*w/2 + 507/2.
(w - 13)**2*(w + 3)/2
Find q, given that 5*q**3 - 180*q**2 + 1255*q - 1080 = 0.
1, 8, 27
Factor 2*u**4 + 10*u**3 - 26*u**2 + 14*u.
2*u*(u - 1)**2*(u + 7)
Determine h so that -2*h**2/3 - 50*h/3 + 124 = 0.
-31, 6
Find s, given that -15*s**3 + 87*s**2 + 123*s + 21 = 0.
-1, -1/5, 7
Factor 21*s**3/5 + 207*s**2 + 2268*s/5 + 564/5.
3*(s + 2)*(s + 47)*(7*s + 2)/5
What is t in -2*t**4 + 170*t**3 - 5148*t**2 + 63544*t - 246064 = 0?
7, 26
Find k such that -2*k**2 - 8*k = 0.
-4, 0
Determine t so that 5*t**4 - 415*t**3 + 7965*t**2 + 26875*t + 18490 = 0.
-2, -1, 43
Find y, given that 7744*y**5/17 + 3520*y**4/17 - 19532*y**3/17 + 8626*y**2/17 - 362*y/17 + 4/17 = 0.
-2, 1/44, 1/2, 1
Solve -2*v**3/3 - 28*v**2/3 + 48*v = 0 for v.
-18, 0, 4
Suppose -5*x**3 + 5*x**2 + 20*x - 20 = 0. What is x?
-2, 1, 2
What is a in -a**4 - 40*a**3/3 - 13*a**2/3 = 0?
-13, -1/3, 0
Factor 5*c**5/3 - 15*c**4/2 + 10*c**3 - 25*c**2/6.
5*c**2*(c - 1)**2*(2*c - 5)/6
Factor v**4/7 + 54*v**3/7 + 429*v**2/7 + 1096*v/7 + 720/7.
(v + 1)*(v + 4)**2*(v + 45)/7
Determine w, given that w**2/4 - 3*w/4 - 7 = 0.
-4, 7
Factor -2*v**2 - 32*v - 128.
-2*(v + 8)**2
Solve -3*q**5/2 + 3609*q**4/2 + 1806*q**3 = 0 for q.
-1, 0, 1204
Let v**2/3 - 56*v + 2352 = 0. Calculate v.
84
Factor 4*s**4 + 10*s**3 - 8*s**2 - 6*s.
2*s*(s - 1)*(s + 3)*(2*s + 1)
Factor 88*q**3 + 268*q**2 + 188*q + 8.
4*(q + 1)*(q + 2)*(22*q + 1)
Determine o, given that -1210*o**5/13 + 4312*o**4/13 - 2416*o**3/13 - 3392*o**2/13 + 1376*o/13 - 128/13 = 0.
-4/5, 2/11, 2
Solve -12*l**5 - 20512*l**4 - 8758592*l**3 + 5896088*l**2 + 20482380*l + 5848200 = 0.
-855, -1, -1/3, 2
Let 2*z**4/7 + 146*z**3/7 - 298*z**2/7 + 150*z/7 = 0. What is z?
-75, 0, 1
Factor -2*a**4 + 6*a**3 + 20*a**2.
-2*a**2*(a - 5)*(a + 2)
Let 3*w**3 - 5298*w**2 + 2339067*w = 0. What is w?
0, 883
Determine s, given that s**4/3 - 6*s**3 - s**2/3 + 6*s = 0.
-1, 0, 1, 18
What is m in -m**5 - 138*m**4 - 6347*m**3 - 97198*m**2 + 6348*m + 97336 = 0?
-46, -1, 1
Factor 2*a**3 - 44*a**2.
2*a**2*(a - 22)
Find s, given that 3*s**4 + 75*s**3 + 264*s**2 + 252*s = 0.
-21, -2, 0
Let 5*i**3 + 55*i**2 + 175*i + 125 = 0. What is i?
-5, -1
Let -2*j**4/5 + 18*j**3/5 + 42*j**2/5 + 22*j/5 = 0. Calculate j.
-1, 0, 11
Let -3*l**4 - 15*l**3 + 21*l**2 + 15*l - 18 = 0. What is l?
-6, -1, 1
Factor 2*y**4/9 + 184*y**3/9 + 1540*y**2/3 - 9800*y/9 - 1114750/9.
2*(y - 13)*(y + 35)**3/9
Solve 5*d**2 + 24750*d = 0.
-4950, 0
Find p such that -4*p**3 - 28*p**2 + 84*p + 108 = 0.
-9, -1, 3
Find j such that 2*j**3/17 + 2972*j**2/17 + 1101120*j/17 - 2214144/17 = 0.
-744, 2
Factor -5*z**3 + 455*z + 450.
-5*(z - 10)*(z + 1)*(z + 9)
Factor b**2/7 - 176*b/7 - 177/7.
(b - 177)*(b + 1)/7
Factor -2*s**2 + 62*s/3 - 56/3.
-2*(s - 1)*(3*s - 28)/3
Factor -3*h**3 + 75*h**2 + 2052*h + 3780.
-3*(h - 42)*(h + 2)*(h + 15)
Factor 3*f**5 + 3*f**4 - 63*f**3 - 135*f**2.
3*f**2*(f - 5)*(f + 3)**2
Solve 1171875*c**4 - 375000*c**3 + 45000*c**2 - 2400*c + 48 = 0 for c.
2/25
Let s**4/7 - s**3 + 11*s**2/7 + s - 12/7 = 0. What is s?
-1, 1, 3, 4
Factor -r**2 + r/2 + 3/2.
-(r + 1)*(2*r - 3)/2
Factor c**2/4 - 539*c/4 + 269/2.
(c - 538)*(c - 1)/4
Let -2*d**3/7 - 26*d**2/7 + 4*d = 0. What is d?
-14, 0, 1
Let t**2/7 + 68*t/7 = 0. What is t?
-68, 0
Factor p**5 - 6*p**4 + 8*p**3 + 6*p**2 - 9*p.
p*(p - 3)**2*(p - 1)*(p + 1)
Factor 2*n**3/13 + 4*n**2/13 - 10*n/13 - 12/13.
2*(n - 2)*(n + 1)*(n + 3)/13
Factor -81*r**3 - 12105*r**2 - 5368*r - 596.
-(r + 149)*(9*r + 2)**2
Solve j**4 - j**3 - 9*j**2 + 9*j = 0.
-3, 0, 1, 3
Suppose 5*u**5 + 110*u**4 + 860*u**3 + 2920*u**2 + 4480*u + 2560 = 0. What is u?
-8, -2
Factor 4*s**2 + 80*s + 256.
4*(s + 4)*(s + 16)
Let -2*l**5 + 16*l**4 - 16*l**3 - 52*l**2 + 18*l + 36 = 0. Calculate l.
-1, 1, 3, 6
Determine c, given that 2*c**2/9 - 716*c/9 = 0.
0, 358
Factor -4*f**2 - 4*f + 8.
-4*(f - 1)*(f + 2)
Suppose -o**2/3 + 13*o/3 - 4 = 0. What is o?
1, 12
Factor -5*s**5 - 35*s**4 - 75*s**3 - 45*s**2.
-5*s**2*(s + 1)*(s + 3