*4 + 15*y**3 - 115*y**2 - 160*y - 60 = 0. What is y?
-6, -1, 2
Factor c**3/6 + 14*c**2/3 + 47*c/2 + 33.
(c + 3)**2*(c + 22)/6
Solve -27*d**4/4 + 94*d**3 - 1133*d**2/4 + 181*d + 15 = 0 for d.
-2/27, 1, 3, 10
Solve 3*c**2/2 + 6*c + 9/2 = 0 for c.
-3, -1
Factor -c**3/2 - 7747*c**2/2 - 15007875*c/2 - 15000129/2.
-(c + 1)*(c + 3873)**2/2
Factor 2*d**3/5 + 86*d**2/5 + 1102*d/5 + 722.
2*(d + 5)*(d + 19)**2/5
Factor -23*d**3/9 + 10*d**2 - 28*d/3 - 8/9.
-(d - 2)**2*(23*d + 2)/9
Factor -2*x**2/5 + 28*x/5.
-2*x*(x - 14)/5
Suppose -2*z**4/7 + 32*z**3/7 - 92*z**2/7 - 288*z/7 - 162/7 = 0. What is z?
-1, 9
Factor b**2/10 + 22*b + 642/5.
(b + 6)*(b + 214)/10
Solve -2*b**5/9 + 4*b**3/3 - 16*b**2/9 + 2*b/3 = 0.
-3, 0, 1
Factor t**2/5 + 784*t/5 + 153664/5.
(t + 392)**2/5
Suppose -2*p**3/9 - 1258*p**2/9 + 2522*p/9 - 1262/9 = 0. Calculate p.
-631, 1
Find u such that -2*u**5 - 30*u**4 - 132*u**3 - 232*u**2 - 144*u = 0.
-9, -2, 0
Suppose -12*n**3 + 16048*n**2 - 5360028*n - 3580488 = 0. What is n?
-2/3, 669
Solve -140*i**2/3 + 548*i/3 + 16 = 0 for i.
-3/35, 4
Find j such that 4*j**3 - 16*j**2 - 4*j + 16 = 0.
-1, 1, 4
Let j**3/3 + 53*j**2/3 + 103*j/3 + 17 = 0. Calculate j.
-51, -1
Factor 2*s**3/3 + 4894*s**2/3 + 19552*s/3 + 19544/3.
2*(s + 2)**2*(s + 2443)/3
Suppose -4*m**3 - 628*m**2 - 616*m + 1248 = 0. What is m?
-156, -2, 1
Factor 2*v**4 - 3468*v**3 + 1503378*v**2.
2*v**2*(v - 867)**2
Find g, given that 28*g**2 - 928*g + 1024 = 0.
8/7, 32
Factor 9*r**3 + 246*r**2 + 1596*r - 1176.
3*(r + 14)**2*(3*r - 2)
Let -2*b**2/7 + 148*b/7 - 2738/7 = 0. Calculate b.
37
Factor -5*z**2 + 260*z - 500.
-5*(z - 50)*(z - 2)
Factor 2*b**3/7 + 530*b**2/7 + 528*b/7.
2*b*(b + 1)*(b + 264)/7
Determine g, given that 36*g**4 + 1812*g**3/5 + 964*g**2 + 2636*g/5 + 408/5 = 0.
-6, -17/5, -1/3
What is k in -105*k**4 - 204*k**3 + 117*k**2 + 204*k - 12 = 0?
-2, -1, 2/35, 1
What is c in 4*c**2 - 14408*c + 12974404 = 0?
1801
Suppose -s**5/4 - 33*s**4/4 - 127*s**3/2 - 130*s**2 + 216*s + 736 = 0. Calculate s.
-23, -4, 2
Determine q so that -3*q**3 + 132*q**2 - 375*q + 246 = 0.
1, 2, 41
Let 2*d**2/15 + 8*d/3 + 38/15 = 0. What is d?
-19, -1
Factor 2*d**3/17 - 2*d**2 - 2*d/17 + 2.
2*(d - 17)*(d - 1)*(d + 1)/17
Factor 3*j**2 - 33*j.
3*j*(j - 11)
Let -9*y**3/5 - 453*y**2/5 + 309*y/5 + 153/5 = 0. What is y?
-51, -1/3, 1
Let -53529920*q**4 - 13447920*q**3 - 16380*q**2 - 5*q = 0. Calculate q.
-1/4, -1/1636, 0
Factor 2*c**2 + 148*c - 150.
2*(c - 1)*(c + 75)
Factor 2*v**2/5 + 212*v/5 + 5618/5.
2*(v + 53)**2/5
Factor -t**4/2 + 7*t**3/2 - 8*t**2 + 6*t.
-t*(t - 3)*(t - 2)**2/2
Factor -4*z**2 + 1192*z + 1196.
-4*(z - 299)*(z + 1)
What is y in 4*y**5 + 60*y**4 - 212*y**3 + 84*y**2 + 208*y - 144 = 0?
-18, -1, 1, 2
Determine f so that -28*f**5 + 8*f**4 + 56*f**3 - 16*f**2 - 28*f + 8 = 0.
-1, 2/7, 1
Factor 10*s**3 - 14*s**2 - 16*s + 8.
2*(s - 2)*(s + 1)*(5*s - 2)
Suppose n**3/6 + 38*n**2/3 + 146*n/3 + 48 = 0. What is n?
-72, -2
Factor 4*a**3 + 24*a**2 + 20*a.
4*a*(a + 1)*(a + 5)
Let 2*a**2 - 498*a = 0. What is a?
0, 249
Solve z**2/4 + 267*z/2 + 71289/4 = 0 for z.
-267
Factor -o**2/4 - 45*o/2 + 144.
-(o - 6)*(o + 96)/4
Factor 6*g**2 - 21*g - 12.
3*(g - 4)*(2*g + 1)
Suppose 3*q**4 - 30*q**3 - 111*q**2 - 78*q = 0. Calculate q.
-2, -1, 0, 13
Factor -2*k**3 - 4*k**2 + 14*k - 8.
-2*(k - 1)**2*(k + 4)
What is a in a**3/4 - 17*a**2/2 + 95*a - 350 = 0?
10, 14
Factor -3*q**4/2 - 9*q**3 + 36*q**2 - 39*q + 27/2.
-3*(q - 1)**3*(q + 9)/2
Factor 2*s**2/9 + 500*s/9 - 502/9.
2*(s - 1)*(s + 251)/9
Factor -3*z**3/5 + 882*z**2/5 - 86436*z/5 + 2823576/5.
-3*(z - 98)**3/5
Suppose -2*n**3/7 - 110*n**2/7 - 414*n/7 - 306/7 = 0. Calculate n.
-51, -3, -1
Let -g**2/4 - 9*g/4 - 9/2 = 0. What is g?
-6, -3
Solve 142*b**3/7 + 40*b**2 + 134*b/7 - 4/7 = 0 for b.
-1, 2/71
Let -2*a**2 - 24*a + 90 = 0. Calculate a.
-15, 3
Factor 3*w**4/10 - 2*w**3/5 - 14*w**2/5 - 8*w/5.
w*(w - 4)*(w + 2)*(3*w + 2)/10
Suppose -3*x**4 + 48*x**3 - 99*x**2 - 594*x + 648 = 0. What is x?
-3, 1, 6, 12
Find j such that -4*j**5/5 + 12*j**4 - 232*j**3/5 + 336*j**2/5 - 32*j = 0.
0, 1, 2, 10
Factor -5*i**3 + 95*i**2 - 500*i + 660.
-5*(i - 11)*(i - 6)*(i - 2)
Determine s so that s**4 + 5*s**3/9 - 9*s**2 - 5*s = 0.
-3, -5/9, 0, 3
Suppose 35*b**3 - 18210*b**2 - 31340*b + 10440 = 0. What is b?
-2, 2/7, 522
Factor -4*v**4 + 180*v**3 - 344*v**2.
-4*v**2*(v - 43)*(v - 2)
Factor -n**3 - 4281*n**2 - 6108987*n - 2905841483.
-(n + 1427)**3
Determine s so that -s**2/4 - 779*s/4 - 389/2 = 0.
-778, -1
Factor 4*x**3 + 44*x**2 - 224*x + 240.
4*(x - 2)**2*(x + 15)
Determine a so that -a**2/11 - 24*a/11 + 432/11 = 0.
-36, 12
Let 5*p**4 - 170*p**3 + 325*p**2 - 160*p = 0. What is p?
0, 1, 32
What is x in 2*x**5 + 2*x**4 - 14*x**3 - 2*x**2 + 12*x = 0?
-3, -1, 0, 1, 2
Factor 6*b**3 - 52*b**2 - 18*b.
2*b*(b - 9)*(3*b + 1)
Factor -a**3/6 + 2*a**2/3 - a/2.
-a*(a - 3)*(a - 1)/6
Suppose -n**4/4 + 5*n**3/4 - 3*n**2/2 - n + 2 = 0. Calculate n.
-1, 2
Determine h so that 2*h**3/21 + 30*h**2/7 + 250*h/7 - 6250/21 = 0.
-25, 5
Find d, given that -45*d**4/4 + 460*d**3 + 2015*d**2/2 + 590*d + 215/4 = 0.
-1, -1/9, 43
Solve -4*n**4/5 - 141*n**3/5 + 117*n**2/5 + 326*n/5 + 72/5 = 0.
-36, -1, -1/4, 2
Find m, given that -20*m**4 + 135*m**3 + 235*m**2 - 270*m - 80 = 0.
-2, -1/4, 1, 8
Determine n so that -64*n**5/3 - 464*n**4/3 - 817*n**3/3 - 503*n**2/3 - 91*n/3 - 5/3 = 0.
-5, -1, -1/8
Suppose 12*o**5/5 - 112*o**4/5 + 372*o**3/5 - 544*o**2/5 + 336*o/5 - 64/5 = 0. What is o?
1/3, 1, 2, 4
Factor -4*q**4 - 456*q**3 + 468*q**2 + 920*q.
-4*q*(q - 2)*(q + 1)*(q + 115)
Solve c**4/6 - 3*c**2 - 16*c/3 - 5/2 = 0 for c.
-3, -1, 5
Solve -5*o**4 + 110*o**3 - 645*o**2 + 540*o = 0.
0, 1, 9, 12
Factor -2*b**2 + 1044*b - 136242.
-2*(b - 261)**2
Factor -3*z**2/4 + 72*z - 1728.
-3*(z - 48)**2/4
Let -10*s**3/7 + 304*s**2/7 - 2330*s/7 + 884/7 = 0. Calculate s.
2/5, 13, 17
Factor 3*n**2 - 420*n - 852.
3*(n - 142)*(n + 2)
Let 2*c**3/5 + 36*c**2/5 - 2*c/5 - 36/5 = 0. Calculate c.
-18, -1, 1
Solve -3*o**3 - 39*o**2 + 12*o + 156 = 0.
-13, -2, 2
Factor -2*o**3/7 + 174*o**2/7 - 3870*o/7 + 3698/7.
-2*(o - 43)**2*(o - 1)/7
Factor -5*g**3 + 685*g**2 + 690*g.
-5*g*(g - 138)*(g + 1)
Factor -b**3 + 360*b**2.
-b**2*(b - 360)
Solve -4*n**3 - 40*n**2 - 76*n + 120 = 0.
-6, -5, 1
Let 162*l**4/13 + 3150*l**3/13 - 1864*l**2/13 - 1288*l/13 - 160/13 = 0. What is l?
-20, -2/9, 1
Factor -4*a**4 + 200*a**3.
-4*a**3*(a - 50)
Factor -3*z**4/4 + 9*z**3 - 33*z**2/4.
-3*z**2*(z - 11)*(z - 1)/4
Factor 2*a**3 - 102*a**2 - 210*a - 106.
2*(a - 53)*(a + 1)**2
Suppose 4*g**5 - 52*g**4 + 132*g**3 + 308*g**2 - 392*g = 0. Calculate g.
-2, 0, 1, 7
Determine v, given that v**4/3 + 8*v**3 = 0.
-24, 0
Solve -k**5/3 - 8*k**4/3 - 7*k**3/3 = 0.
-7, -1, 0
Suppose -2*q**5/5 + 10*q**4 + 52*q**3/5 = 0. What is q?
-1, 0, 26
Suppose 5*c**4 - 410*c**3 + 2340*c**2 - 4600*c + 3040 = 0. Calculate c.
2, 76
Determine r so that 4*r**3 - 228*r**2 - 532*r + 3540 = 0.
-5, 3, 59
Solve 6*h**2 - 52*h + 80 = 0.
2, 20/3
Factor 3*s**5 + 12*s**4 + 15*s**3 + 6*s**2.
3*s**2*(s + 1)**2*(s + 2)
Let 4*c**2 - 192*c - 400 = 0. What is c?
-2, 50
Solve 2*g**3/7 + 232*g**2/7 + 458*g/7 + 228/7 = 0 for g.
-114, -1
Factor 4*n**3 - 40*n**2 - 92*n - 48.
4*(n - 12)*(n + 1)**2
Suppose -g**3 + 231*g**2 + 1176*g + 944 = 0. What is g?
-4, -1, 236
What is i in -4*i**3 - 8*i**2 + 1228*i - 1216 = 0?
-19, 1, 16
Factor -2*j**2/7 + 44*j/7 - 240/7.
-2*(j - 12)*(j - 10)/7
Factor -2*a**3 - 56*a**2 - 442*a - 676.
-2*(a + 2)*(a + 13)**2
Factor 4*n**4 - 10*n**3 - 22*n**2 + 28*n.
2*n*(n - 1)*(n + 2)*(2*n - 7)
What is c in c**4/5 + 16*c**3/5 + 28*c**2/5 = 0?
-14, -2, 0
Let 3*h**3 - 39*h**2 - 87*h - 45 = 0. Calculate h.
-1, 15
Factor -5*v**4 - 10*v**3 + 75*v**2 + 180*v.
-5*v*(v - 4)*(v + 3)**2
Factor -2*i**3 - 26*i**2 - 96*i - 72.
-2*(i + 1)*(i + 6)**2
Factor -2*x**3 - 24*x**2 + 56*x.
-2*x*(x - 2)*(x + 14)
Find u, given that -5*u**5 + 40*u**4 + 460*u**3 - 1520*u**2 - 17600*u - 32000 = 0.
-4, 10
Suppose 3*h**4 - 6*h**3 - 9*h**2 + 24*h - 12 = 0. Calculate h.
-2, 1, 2
Suppose -7938*h**2 - 252*h - 2 = 0. Calculate h.
-1/63
Factor -3*i**2/5 - 894*i/5 - 531.
-3*(i + 3)*(i + 295)/5
Determine y so that -3*y**4/4 - 195*y**3/4 - 2079*y**2/2 - 6897*y + 7986 = 0.
-22, 1
Factor w**4 + 17*w**3 - 308*w**2.
w**2*(w - 11)*(w + 28)
Factor -h**4/4 + 11*h**2/4 - 9