 + 9/2 = 0.
-1, 12
Let 2*p**2/3 + 968*p/3 + 117128/3 = 0. Calculate p.
-242
Factor -3*w**3/4 + 3*w**2/4 + 147*w/4 - 147/4.
-3*(w - 7)*(w - 1)*(w + 7)/4
Factor -5*l**4 - 1840*l**3 - 1835*l**2.
-5*l**2*(l + 1)*(l + 367)
Find a such that 2*a**5 + 8*a**4 - 6*a**3 - 20*a**2 + 16*a = 0.
-4, -2, 0, 1
Solve a**4/4 + 3*a**3/2 - 3*a**2/4 - 14*a - 12 = 0.
-4, -1, 3
Suppose 3*m**5 - 12*m**4 - 6*m**3 + 24*m**2 + 3*m - 12 = 0. What is m?
-1, 1, 4
Factor 2*g**2/13 + 32*g/13 - 34/13.
2*(g - 1)*(g + 17)/13
Solve a**4/2 - 11*a**3/2 - 23*a**2 + 28*a = 0.
-4, 0, 1, 14
Factor 2*m**2/3 - 124*m/3.
2*m*(m - 62)/3
Factor -4*l**2 - 7984*l - 3984016.
-4*(l + 998)**2
Let -2*g**2/7 - 152*g/7 - 150/7 = 0. What is g?
-75, -1
Factor -2*v**2/9 + 8*v/3 + 26/9.
-2*(v - 13)*(v + 1)/9
Suppose x**2 + 37*x + 36 = 0. Calculate x.
-36, -1
Factor -2*n**2 - 1800*n.
-2*n*(n + 900)
Find s, given that 4*s**3/3 - 18*s**2/5 - 126*s/5 - 36/5 = 0.
-3, -3/10, 6
Factor -80*n**5 + 360*n**4 + 195*n**3 + 25*n**2.
-5*n**2*(n - 5)*(4*n + 1)**2
Find l, given that -5*l**5 + 95*l**4 - 165*l**3 - 1835*l**2 - 2770*l - 1200 = 0.
-2, -1, 8, 15
Determine s, given that -8*s**4/21 + 158*s**3/21 + 32*s**2/3 - 290*s/21 - 4 = 0.
-2, -1/4, 1, 21
What is c in 3*c**5/4 - 3*c**4 + 3*c**3/4 + 9*c**2/2 = 0?
-1, 0, 2, 3
Suppose -d**3 + 327*d**2 + 330*d - 656 = 0. Calculate d.
-2, 1, 328
Suppose -t**5/6 + 2*t**3/3 + t**2/3 - t/2 - 1/3 = 0. Calculate t.
-1, 1, 2
Find n such that -2*n**3/3 - 8*n**2 - 40*n/3 = 0.
-10, -2, 0
Suppose 4*a**2 + 936*a + 54756 = 0. Calculate a.
-117
Factor 2*o**2/13 + 2*o/13 - 228.
2*(o - 38)*(o + 39)/13
Factor 3*i**3/2 + 297*i**2/2 - 153*i - 300.
3*(i - 2)*(i + 1)*(i + 100)/2
Suppose -2*u**5/7 - 4*u**4/7 + 24*u**3/7 + 4*u**2 - 22*u/7 - 24/7 = 0. Calculate u.
-4, -1, 1, 3
Solve m**5 - 14*m**4 + 10*m**3 + 40*m**2 - 11*m - 26 = 0 for m.
-1, 1, 2, 13
Solve -2*w**3 - 278*w**2 + 280*w = 0.
-140, 0, 1
Factor 2*o**2/11 + 26*o/11 - 136/11.
2*(o - 4)*(o + 17)/11
Solve -2*w**2/13 - 118*w/13 - 116/13 = 0.
-58, -1
Determine c, given that 4*c**4 - 3364*c**3 - 6748*c**2 + 3364*c + 6744 = 0.
-2, -1, 1, 843
Factor -2*x**2/13 - 658*x/13 + 660/13.
-2*(x - 1)*(x + 330)/13
Find y such that -y**3/3 - 322*y**2/3 - 25265*y/3 + 106276/3 = 0.
-163, 4
Let -v**3/2 - 45*v**2 - 2025*v/2 = 0. What is v?
-45, 0
Factor -75*l**3/7 - 228*l**2/7 - 12*l/7 + 288/7.
-3*(l + 2)**2*(25*l - 24)/7
Find x, given that 5*x**3 + 20*x**2 = 0.
-4, 0
Solve 2*q**2/9 + 16*q/9 - 70/3 = 0 for q.
-15, 7
Factor -2*o**5/5 - 2*o**4/5 + 2*o**3 - 6*o**2/5.
-2*o**2*(o - 1)**2*(o + 3)/5
What is j in -4*j**2 + 712*j - 31684 = 0?
89
Let 3*k**4 - 6*k**3 - 429*k**2 + 432*k + 15552 = 0. What is k?
-8, 9
Factor 2*s**4/15 + 172*s**3/15 + 1342*s**2/5 + 14104*s/15 + 13448/15.
2*(s + 2)**2*(s + 41)**2/15
Find o, given that 3*o**5 - 165*o**4 + 741*o**3 + 489*o**2 - 1920*o - 1500 = 0.
-1, 2, 5, 50
Factor 2*s**3 + 2*s**2 - 4*s.
2*s*(s - 1)*(s + 2)
Factor l**3/3 - 91*l**2/3 + 2279*l/3 - 9245/3.
(l - 43)**2*(l - 5)/3
Factor -3*c**4/7 + 69*c**3/7 - 360*c**2/7 - 432*c/7.
-3*c*(c - 12)**2*(c + 1)/7
Find w such that 2*w**5 - 14*w**4 + 38*w**3 - 50*w**2 + 32*w - 8 = 0.
1, 2
Let x**3/3 + 70*x**2/3 + 1568*x/3 + 10976/3 = 0. Calculate x.
-28, -14
Suppose -4*h**3 + 100*h**2 - 352*h + 336 = 0. Calculate h.
2, 21
Find c such that 2*c**3/15 + 248*c**2/15 + 7688*c/15 = 0.
-62, 0
Suppose -a**3/5 - 272*a**2/5 - 21716*a/5 - 416752/5 = 0. Calculate a.
-122, -28
Factor -f**4/7 + 10*f**3/7 - 32*f**2/7 + 32*f/7.
-f*(f - 4)**2*(f - 2)/7
Suppose w**5/3 + 5*w**4/4 + 2*w**3/3 - 19*w**2/12 - w + 1/3 = 0. Calculate w.
-2, -1, 1/4, 1
What is t in 88*t**4 - 16*t**3 - 627*t**2/2 - 20*t + 14 = 0?
-7/4, -1/4, 2/11, 2
Factor -t**5 + 13*t**4 + 30*t**3.
-t**3*(t - 15)*(t + 2)
What is q in 3*q**4/7 - 5*q**3/7 + q**2/7 + q/7 = 0?
-1/3, 0, 1
Determine m, given that -10*m**2/9 + 46*m/9 + 20/9 = 0.
-2/5, 5
Solve -3*d**4 + 15*d**3 + 24*d**2 - 36*d = 0.
-2, 0, 1, 6
Factor -k**2/5 - 12*k.
-k*(k + 60)/5
Factor -16*g**2/7 - 234*g/7 + 1980/7.
-2*(g - 6)*(8*g + 165)/7
Solve 4*f**2 - 20416*f + 26050816 = 0.
2552
Factor 2*i**5/7 + 20*i**4/7 + 32*i**3/7 - 4*i**2/7 - 34*i/7 - 16/7.
2*(i - 1)*(i + 1)**3*(i + 8)/7
Find j, given that 5*j**2 - 35*j - 40 = 0.
-1, 8
Determine k so that k**4 - 22*k**3 + 69*k**2 + 572*k + 676 = 0.
-2, 13
Determine g so that 2*g**2/3 - 202*g/3 - 1060/3 = 0.
-5, 106
Suppose -2*j**4/5 + 44*j**2/5 - 48*j/5 - 18 = 0. What is j?
-5, -1, 3
Factor -2*s**2 + 444*s - 1314.
-2*(s - 219)*(s - 3)
Factor 4*t**2 - 106*t - 54.
2*(t - 27)*(2*t + 1)
Solve 189*n**2/5 + 201*n/5 + 12/5 = 0 for n.
-1, -4/63
Factor 4*d**3/5 + 8*d**2 + 13*d/5 - 507/5.
(d - 3)*(2*d + 13)**2/5
Let -h**5/7 + 16*h**4/7 - 78*h**3/7 + 144*h**2/7 - 81*h/7 = 0. Calculate h.
0, 1, 3, 9
Let -2*p**3 + 22*p**2 + 114*p + 90 = 0. What is p?
-3, -1, 15
Suppose -4*w**2/3 + 1624*w/3 - 164836/3 = 0. What is w?
203
Factor -w**2/4 + 114*w + 457/4.
-(w - 457)*(w + 1)/4
Factor 4*c**4 + 12*c**3 - 12*c**2 - 44*c - 24.
4*(c - 2)*(c + 1)**2*(c + 3)
Solve 128*s**5/5 - 32*s**4/5 - 334*s**3/5 - 42*s**2 - 36*s/5 = 0 for s.
-1, -3/8, 0, 2
Factor -4*b**2 - 29012*b.
-4*b*(b + 7253)
Find u, given that 2*u**3 + 14*u**2 + 32*u + 24 = 0.
-3, -2
Let -2*z**3/3 - 1106*z**2 + 3320*z/3 = 0. What is z?
-1660, 0, 1
Find h such that 3*h**4 - 66*h**3 + 228*h**2 - 216*h = 0.
0, 2, 18
What is r in -2*r**3/5 + 304*r**2/5 + 186*r = 0?
-3, 0, 155
Let z**3 + 16*z**2 + 13*z - 30 = 0. What is z?
-15, -2, 1
Factor 2*p**5 - 60*p**4 + 648*p**3 - 2916*p**2 + 4374*p.
2*p*(p - 9)**3*(p - 3)
Factor 3*v**4 - 1164*v**3 + 118578*v**2 - 1099980*v + 2679075.
3*(v - 189)**2*(v - 5)**2
Find q, given that -q**2 - 17*q - 16 = 0.
-16, -1
Determine n, given that 3*n**2/7 - 5556*n/7 + 2572428/7 = 0.
926
Solve 3*y**2/8 + 837*y/4 + 233523/8 = 0 for y.
-279
Factor 4*w**5 + 128*w**4 + 1464*w**3 + 7040*w**2 + 12100*w.
4*w*(w + 5)**2*(w + 11)**2
Factor 4*v**4 - 8*v**3 - 12*v**2 + 32*v - 16.
4*(v - 2)*(v - 1)**2*(v + 2)
Let -47592867*f**2/5 - 71694*f/5 - 27/5 = 0. What is f?
-3/3983
Factor -5*t**2 + 60*t - 100.
-5*(t - 10)*(t - 2)
Find l, given that -3*l**4/5 + 72*l**3 - 13026*l**2/5 + 26712*l - 412923/5 = 0.
7, 53
Let -3*w**4 - 252*w**3 + 3678*w**2 - 10332*w - 14259 = 0. Calculate w.
-97, -1, 7
Determine r so that 2*r**5 - 14*r**4 - 10*r**3 + 142*r**2 + 80*r - 200 = 0.
-2, 1, 5
Factor 3*n**2 + 306*n + 7803.
3*(n + 51)**2
Factor -2*b**2/5 + 186*b/5 + 76.
-2*(b - 95)*(b + 2)/5
Factor -17*w**2/6 + 39*w/2 + 7/3.
-(w - 7)*(17*w + 2)/6
Factor 3*j**3 - 12*j**2 - 63*j.
3*j*(j - 7)*(j + 3)
Determine v so that -5*v**3 - 5*v**2 + 30*v = 0.
-3, 0, 2
Factor -4*g**3/3 - 158*g**2/3 - 26*g.
-2*g*(g + 39)*(2*g + 1)/3
Solve -q**4/7 + 6*q**3/7 + 15*q**2/7 + 8*q/7 = 0 for q.
-1, 0, 8
Factor -3*o**3 + 30*o**2 - 63*o.
-3*o*(o - 7)*(o - 3)
Determine x, given that -2*x**3/15 + 2*x**2/3 + 16*x/15 - 8/5 = 0.
-2, 1, 6
Determine p, given that -3*p**2/5 + 3*p/5 + 6/5 = 0.
-1, 2
Determine c, given that 2*c**4 + 1702*c**3 - 2*c**2 - 1702*c = 0.
-851, -1, 0, 1
Find u, given that 26*u**5/7 + 2*u**4/7 - 26*u**3/7 - 2*u**2/7 = 0.
-1, -1/13, 0, 1
Factor -2*x**2 + 70*x + 148.
-2*(x - 37)*(x + 2)
Factor -4*y**3 + 160*y**2 + 692*y + 528.
-4*(y - 44)*(y + 1)*(y + 3)
What is o in -3*o**3 + 2250*o**2 - 4491*o + 2244 = 0?
1, 748
Let -15*k**4 - 351*k**3 - 1938*k**2 + 1440*k + 864 = 0. Calculate k.
-12, -2/5, 1
Factor -4*i**3 + 44*i**2 - 136*i + 96.
-4*(i - 6)*(i - 4)*(i - 1)
Let 2*p**5/9 - 16*p**3/9 - 4*p**2/3 + 14*p/9 + 4/3 = 0. Calculate p.
-2, -1, 1, 3
Suppose 2*s**3 - 216*s**2 - 218*s = 0. What is s?
-1, 0, 109
Find r such that r**5/3 + 73*r**4/3 + 600*r**3 + 5184*r**2 + 4608*r = 0.
-24, -1, 0
Factor -24*r**3 + 57*r**2 - 18*r.
-3*r*(r - 2)*(8*r - 3)
Solve 3*q**3 - 39*q**2 + 168*q - 240 = 0.
4, 5
Suppose 3*w**5 + 75*w**4 + 153*w**3 - 939*w**2 + 1104*w - 396 = 0. What is w?
-22, -6, 1
Determine n, given that -2*n**4/9 + 6*n**3 - 148*n**2/9 + 32*n/3 = 0.
0, 1, 2, 24
Factor 2*q**2/5 + 22768*q/5 + 64797728/5.
2*(q + 5692)**2/5
What is f in 5*f**2 + 30*f - 200 = 0?
-10, 4
Factor -5*l**3 + 275*l**2 - 3640*l - 3920.
-5*(l - 28)**2*(l + 1)
Factor -2*x**3/5 - 232*x**2/5 - 7168*x/5 - 25088/5.
-2*(x + 4)*(x + 56)**2/5
Suppose -12*y**3/5 + 52*y**2/5 + 208*y/5 + 112/5 = 0. Calculate y.
-2, -2/3, 7
Suppose -2*g**5 + 8*g**4 + 12*g**3 - 8*g**2 - 10*g = 0. What i